which inequality has –12 in its solution set?abcdx + 6 less-than negative 8x + 4 greater-than-or-equal-to negative 6x minus 3 greater-than negative 10x + 5 less-than-or-equal-to negative 4abcd

Answers

Answer 1

The inequality contain -12 in its solution is  x + 5 ≤ -4.

What is inequality?

The phenomenon of an unfair and/or unequal distribution of opportunities and resources among the people who make up a society is referred to as inequality. To different people and in various contexts, the word "inequality" may mean different things.

We have to find from the given inequalities which inequality has -12 in its solution.

Consider, the given inequalities

(1)  x + 6 < -8

⇒ x < - 8 - 6

⇒ x < -14

This inequality does not contain -12 in its solution.

(2) x + 4 ≥ - 6

⇒  x ≥ -6 - 4

⇒ x ≥ - 10

This inequality does not contain -12 in its solution.

(3) x - 3 > -10

⇒  x  > -10 + 3

⇒  x > -7

This inequality does not contain -12 in its solution.

(4) x + 5 ≤ -4

⇒  x ≤ - 4 - 5

⇒  x ≤ -9

This inequality contain -12 in its solution.

Hence, the inequality contain -12 in its solution is  x + 5 ≤ -4.

To know more about inequality, click on the link

https://brainly.com/question/24372553

#SPJ4


Related Questions

Complete the car class by creating an attribute purchase_price (type int) and the method print_info() that outputs the car's information. Ex: if the input is: 2011 18000 2018 where 2011 is the car's model year, 18000 is the purchase price, and 2018 is the current year, then print_info() outputs:.

Answers

When an object is to be generated, classes are utilized as templates, whereas methods are functions that are called or invoked.

What is class?

A class is a template specification of the method(s) and variable(s) of a certain sort of object in object-oriented programming. As a result, an object is a particular instance of a class; instead of variables, it holds real values. One of the fundamental concepts of object-oriented programming is the class.

How do you define a class?

A class outlines the information included in the objects that are a part of it, including the actions and a collection of data fields known as instance variables (called methods). An object is an element (or instance) of a class, and objects exhibit the behaviors of the classes in which they belong.

We use the self keyword to declare the attribute purchase price (type int), initializing the value to 0.

Therefore, the purchase price attribute declaration is as follows:

self.purchase price equals zero

We just need to invoke the model year and purchase price variables to define the print info() function.

The print info() function is therefore defined as follows:

   def print_info(self):

   print("Car's information:")

   print(" Model year:", self.model_year)

   print("Purchase price:", self.purchase_price)

Go here to learn more about class and methods:

brainly.com/question/15125793

#SPJ4

Find x in the right triangle. 324−−−√324
B 147−−−√147
C 63−−√63
D 175−−−√175
E 21−−√21

Answers

Answer:

I believe it is 3rd one but not 100% sure

Step-by-step explanation:

hope this helps

solve the inequality
15t>180

Answers

Answer: t=12

Step-by-step explanation:

To isolate the t, divide both sides by 15. The 15 on the left cancels out, and 180 divided by 15 is 12.

a femur 18 inches long is placed in traction with an elevation of 6.2 inches. what is the angle of elevation of the femur?

Answers

The angle of elevation of the femur is 71°.

The angle of elevation:

The angle is formed by the line of sight and the horizontal plane for an object above the horizontal.

Here we have to find the angle of elevation of the femur.

Data given:

length of femur = 18 inches

elevated = 6.2 inches

Formula to calculate the angle of elevation:

Tangent of the angle of elevation = height of the object/distance from the object

tan Ф = 18/ 6.2

tan Ф = 2.903

Ф = [tex]tan^{-1}[/tex]( 2.903)

   = 71°

Therefore the angle of elevation is 71°.

To know more about the angle of elevation refer to the link given below:

https://brainly.com/question/88158

#SPJ4

   

If you pay $25 per month for your cell phone and an additional $5 for each picture
you send, an equation to represent the cost of your phone would be
y = 5x + 25
y = 25x + 5
y = 3x + 1
y = x + 30

Answers

The answer is y= 5x+25

If you pay $25 per month for your cell phone and an additional $5 for each picture you send then y=25x+5 is the equation  to represent the cost of your phone.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given that you pay $25 per month for your cell phone

An additional $5 for each picture you send

We have to find the equation which represent the cost of your phone

Let x be the number of months.

The equation should be in the form of y=mx+b

in the given equation m is the slope and b is the y intercept or the additional fee.

y=25x+5 is the required equation

Hence, if you pay $25 per month for your cell phone and an additional $5 for each picture you send then y=25x+5 is the equation  to represent the cost of your phone.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

ashley wants to crochet a blanket for her new baby cousin. her pattern calls for 900 yards of thick, soft wool. she already has 200 feet of wool left from another project. at the craft store, she notices that each ball has 500 feet of wool. how many balls of wool should she buy?

Answers

By using the concept of subtraction and multiplication, it can be calculated that

Ashley should buy 5 balls

What is subtraction and division?

To find how big or small one number is from the other, then the operation used is called subtraction

Division is the process by which value of single unit can be calculated from the value of multiple unit.

The number to be divided is known as dividend, the number by which the dividend is divided is the divisor, the result obtained is the quotient and the remaining part is the remainder.

There is a well known formula for division

Divisor x Quotient + Remainder = Dividend.

This is a word problem on subtraction and division

Total length of Wool Ashley required = 900 [tex]\times[/tex] 3 = 2700 ft

Length of wool Ashley has = 200 ft

Length of wool Ashley still needed = 2700 - 200 = 2500 ft

Length of wool in each ball = 500

So Number of balls required = 2500 [tex]\div[/tex] 5 = 5

Ashley should buy 5 balls

To learn more about division and subtraction, refer to the link-

https://brainly.com/question/20460320

#SPJ4

You are given an integer n where 0 <= n <= 100, followed by another line of input which has a word w with length l where 1 <= l <= 50. Your task is to print n lines with the word w. The lines of your output should not have any trailing or leading spaces.

Answers

The Python program to print the value of the input string is as follows:N= int(input("Enter a integer variable N (0 <= N <= 100): ")), W = input("Enter the word W (length of 1 <= L <= 50): "), for n in range(N):, print(W)

A variable, what exactly do you mean?

In a mathematical problem or experiment, a variable is a quantity that can change. To represent a variable, we typically use a single letter. Generic symbols used frequently for variables include the letters x, y, and z.

Program -

N= int(input("Enter a value of integer N (0 <= N <= 100): "))

W = input("Enter the word W (length of 1 <= L <= 50): ")

for n in range(N):

print(W)

Here,

defining the integer variable "N" that accepts a user-supplied integer value.

The user-end string value is input using another variable "W" that is declared in the next step.

A for loop using the range method and an integer variable is declared after all input values have been entered. This loop prints the string value.

To know more about  integer variable visit:

https://brainly.com/question/27855584

#SPJ4

The true average diameter of ball bearings of a certain type is supposed to be 0.5 in. A one-sample t test will be carried out to see whether this is the case. What conclusion is appropriate in each of the following situations? (a) n 15 t 1.66 a 0.05 o Reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in o Reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in o Do not reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in o Do not reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in

Answers

The correct answer is 'Do not reject the null hypothesis as there is not sufficient evidence that the true diameter differs from 0.5 in.'

When the sample size is large and the standard deviation is known, the z-test is typically used.

The T-test is more flexible than the Z-test since the Z-test frequently needs particular circumstances in order to be reliable.

The t test is applied if the population standard deviation is unknown.

Test statistic for one sample t-test is, t = (X‾ - μ0) / (s / √n)
The formula of degrees of freedom for test is, df = n-1 here, n is sample size.

Decision rule:

1. If the P-value is less than the level of significance, the null hypothesis should be rejected; otherwise, it should not be.

2.The null hypothesis is rejected if the t-test statistic value is greater than the t tabulated value; otherwise, the null hypothesis is not rejected.

(a) From the given information, n=15, t=1.66, α =0.05 we can derive

degrees of freedom = df= n-1 which is 15-1 = 14

Thus, the critical value is, 2.145.

Now, since the test statistic value is less than the critical value, do not reject the null hypothesis.

Here, the test statistic value do not lie in the critical region. The null hypothesis cannot be rejected. There is insufficient evidence that the true diameter differs from 0.5 in.

(b) From the given information, n=15, t = -1.66, α =0.05 we can derive

degrees of freedom = df= n-1 which is 15-1 = 14

Thus, the critical value is, -2.145.
Now, since the test statistic value does not lie in the rejection region, do not reject the null hypothesis.
Here, the test statistic value does not lie in the critical region. The null hypothesis cannot be rejected. There is insufficient evidence that the true diameter differs from 0.5 in.

To know more about 'null hypothesis' related questions

visit- https://brainly.com/question/28920252

#SPJ4

2 + 4(2x-1) = 6.25x-26

with solution please

Answers

Answer:

x = -96/7 or -13.714285

Step-by-step explanation:

May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 9 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!

What is the result when the number 48 is decreased by 75%?

Answers

Answer: 12

Step-by-step explanation: First turn 75% into its decimal form 0.75

Then multiply this by 48.

0.75 x 48 = 36

36 is 75% of 48

Then subtract 36 from 48. This will get you 12.

three women are selected from the audience of a style show to receive a purse, a pair of gloves, and a scarf. if 23 women are present, in how many different ways may the gifts be given?

Answers

The number of different possible ways in which the gifts can be given to 3 out of 23 women is 10626.

Each gift can be considered a position given to one of 23 women. The number of ways in which gift can be given to them is :

First gift : 23 possibilities

Second gift: 22 possibilities

Third gift: 21 possibilities

So, the gifts may be given in

23 * 22* 21

= 10626

We could encounter several patterns and number kinds in mathematics. Sequences are included in one of the number patterns.

Repetition is permitted and order is important in the sequence, which is a predetermined group of objects. Formally, a sequence is a function that connects the elements at each point to natural numbers. It has members, which are known as elements or words, just like a set.

The length of the sequence is determined by the number of items. In contrast to a set, the same items might appear more than once in a sequence at various points, and the order does important.

To learn more about sequences

brainly.com/question/1458970

#SPJ4

5(2t -3) - 7.5t = 0.5 (12-t) Show your work

Answers

Answer:7

Step-by-step explanation:

Can write it as

10t -15 - 7.5t = 6 - 0.5t

2.5t -15 = 6 - 0.5

3t - 15= 6

3t = 21

t= 7

a dental student is conducting a study on the number of people who visit their dentist regularly. of the 520 people surveyed, 312 indicated that they had visited their dentist within the past year. find the population proportion, as well as the mean and standard deviation of the sampling distribution for samples of size n

Answers

For samples of size n = 60, the mean of the sampling distribution is 0.6

and the standard deviation of the sampling distribution is 0.0632

Here, N = 520 and X = 312

So, the population proportion is calculated as;

p = X / N

p = 312/520

p ≈ 0.600

So, the mean of the sampling distribution would be,

μ = 0.600

And for samples of size n = 60, the standard deviation of the sampling distribution would be,

σ = √[p(1 - p)] / n

σ = √[0.6(1 - 0.4)] / 60

σ = √[(0.6 * 0.4) / 60]

σ = √(0.004)

σ = 0.0632

Therefore, the mean of the sampling distribution = 0.6

and the standard deviation of the sampling distribution = 0.0632

Learn more about the sampling distribution here:

https://brainly.com/question/29451043

#SPJ4

Given question is incomplete.

A complete question is:

a dental student is conducting a study on the number of people who visit their dentist regularly. of the 520 people surveyed, 312 indicated that they had visited their dentist within the past year. find the population proportion, as well as the mean and standard deviation of the sampling distribution for samples of size n = 60

How to solve 3(1+p)=-5(p+1)

Answers

The value of P in the equation is -1

Answer:

p=-1

Step-by-step explanation:

3(1+p)=-5(p+1)

Remove the parenthesis:

3+3p=-5p-5

Subtract 3 from both sides.

3p=-5p-5-3

Simplify:

3p=-5p-8

Rearrange:

3p=-8-5p

Add 5p to both sides:

8p=-8

Divide both sides by 8:

p=-1

PLEASE MARK AS BRAINLIEST!!

In triangle DEF, if mZD = (4x)°, mZE = (2x - 3)°, and mZF = (x + 8)°, what is the value of x?
O 51
0 29
026
O 25

Answers

The value of x, if In triangle DEF, if mZD = (4x)°, mZE = (2x - 3)°, and mZF = (x + 8)° is 25, so correct option is D.

What is triangle?

One of the fundamental shapes in geometry is represented by the symbol Δ and consists of three connected vertices.

Given:

In triangle DEF, if mZD = (4x)°, mZE = (2x - 3)°, and mZF = (x + 8)°

Calculate the value of x as shown below,

The sum of triangles will be equal to 180°,

mZD + mZE  +  mZF = 180

4x + 2x - 3 + x + 8 = 180

7x = 180 - 5

x = 175 / 7

x = 25

Therefore, the value of x, if In triangle DEF, if mZD = (4x)°, mZE = (2x - 3)°, and mZF = (x + 8)° is 25.

To know more about Triangles:

https://brainly.com/question/16886469

#SPJ1

in a class of 3000 students, the professor gives a multiple choice quiz with 4 questions, possible answers a,b,c, d or e. each student answers each question. among the 3000 students, at least how many students will turn in the exact same answers for the quiz questions?

Answers

Among the 3000 students, at least 5 students will turn in the exact same answers for the quiz questions.

What does at least mean in probability?

"At least" means as follows: equivalent to or less than. The bare minimum that should happen once a random event occurs is called the least mean in probability.

It will be the complement of the event never occurring to determine the likelihood of an event occurring at least once. In other words, there is a 100% chance that the event will occur regardless of its likelihood of never happening or happening at least once.

Solution Explained:

The quiz has 54=625 different possible outcomes. Given that 625 divided by four equals 2600 and 625 multiplied by five equals 3125, we deduce that 5 students will submit the same set of answers. This is due to the fact that there would be a maximum of 2600 students if only 4 students submitted each answer sheet.

To learn more about at least, use the link given
https://brainly.com/question/9987741
#SPJ4

a coin is weighted so that the probability of obtaining a head in a single toss is 0.25. if the coin is tossed 45 times, what is the probability of obtaining between 9 and 14 heads, exclusive. a. 0.0537 b. 0.5051 c. 0.7201 d. 0.6975 e. 0.4836

Answers

The probability of obtaining between 9 and 14 heads is .0.0408

Probability:

in statistics, probability refers the possibility of the outcome of any random event.

Given,

A coin is weighted so that the probability of obtaining a head in a single toss is 0.25.

Here we need to find the probability of obtaining between 9 and 14 heads if the coin is tossed 45 times.

While we looking into the given question,

Probability of obtaining a head in a single toss = 0.25

Number of toss = 45

Here we need to find the probability of getting head between 9 and 14, is calculated as,

=> mean = 45 x 0.25 = 11.25

=> standard deviation = √11.25 x(1 - 0.25) = 2.9

Here the probability is written as,

=> P(9 < x < 14) = P(8.5 < x < 14.5)

Then the z score, is

=> z = (8.5 - 11.25)/2.9 = -0.9483

=> z = (14.5 - 11.25)/2.9 = 1.1207

So, the given probability is rewritten as,

=> P(9 < x < 14) = P(z < 1.1207) - P(z < 0.9483)

When we apply the value of z score on it then we get,

= > P(z < -0.9483) = 0.17149

=> P(z > 1.1207) = 0.13121

=> P(9 < x < 14) = 0.13121 - 0.17149

=> 0.0403

To know more about Probability here.

https://brainly.com/question/11234923

#SPJ4

a company is placing an order for boxed lunches for a meeting of its executive board. there are 10 members of the board and each will have one lunch. the company is getting the lunches from a restaurant that has 25 varieties of boxed lunches. (a) how many different ways are there for the company to place the lunch order for the 10 lunches? note that it is not important who gets what lunch. all that matters is how many of each of the 25 possible varieties are purchased. (b) how many ways are there for the company to place the lunch order if the 10 lunches purchased are all different? (again, who gets what lunch is not important, just how many of each lunch are purchased).

Answers

a)

There are 3268760 different ways for the company to place the lunch order for the 10 lunches

b)

There are 11861676288000 ways for the company to place the lunch order if the 10 lunches purchased are all different

What is permutation and combination?

The process of placing all the components of a set into a certain sequence or order is known as permutation in mathematics. In other terms, the process of permuting is the reordering of the components of a set if the set is already ordered. Nearly all areas of mathematics include permutations in some form or another. They frequently appear when various orderings on certain finite sets are taken into account.

Contrary to permutations, the order of selection is irrelevant when choosing elements from a collection using the combination method. The number of combinations may be counted in simpler situatiThe combinationation is the taking together of n items, k at a time, without repetition. The terms k-selection or k-combination with repetition are frequently used to describe combinations where repetition is permitted.

a) total different ways are [tex]C^{25} _{10}[/tex]

= 25!/(25-10)!10!

= 25!/15! * 10!

= 3268760

b) total different ways are [tex]P^{25} _{10}[/tex]

= 25!/(25-10)!

= 25!/15!

= 11861676288000

Learn more about permutation and combination from the link below

https://brainly.com/question/29594894

#SPJ4

0.25r=0.5 how do i solve this please help.

Answers

Answer: r=2

Step-by-step explanation:

do .5/.25=2

Your team has contracted to design and build a 500 ft, square-based, open-top, rectangular steal holding tank for a paper company. The tank is to be made by welding thin stainless steel plates together along their edges. As the production engineer, your job is to find dimensions for the base and height that will make the tank weight as little as possible.

Answers

The first step is to calculate the approximate weight of the tank. This can be done by calculating the weight of the stainless steel plates and multiplying it by the surface area of the tank.

The surface area can be calculated by multiplying the length of the sides by the height. The weight of the stainless steel plates can be found online or by consulting a materials engineer.Once the approximate weight of the tank has been calculated, the base and height dimensions can be determined by trial and error. Start with a base length and a height and calculate the approximate weight of the tank. Then, adjust the base length and/or height and recalculate the weight. Continue this process until the lightest weight is achieved.It is important to consider the structural integrity of the tank when selecting the dimensions. A tank with too little height or too wide a base may not be able to withstand the pressure of the contents within. Consulting a structural engineer may be necessary to ensure that the tank is strong enough to withstand the pressure of the contents.

Learn more about surface area here

https://brainly.com/question/2835293

#SPJ4

when solving the equation, which is the best first step to begin to simplify the equation? negative 2 (x 3)

Answers

Answer:

Negative one-half (negative 2) (x + 3) = negative 10 (negative one-half

let x denote the number of canon slr cameras sold during a particular week by a certain store. the pmf of x is x 0 1 2 3 4 px(x) 0.1 0.2 0.3 0.25 0.15

Answers

the value of P(X=4,Y=2) is 0.0518.

Given that, X denote the number of Canon SLR cameras sold during a particular week by a certain store.

The probability mass function (pmf) of X is,

X 0 1 2 3 4

PX(x) 0.1 0.2 0.3 0.25 0.15

Let Y denote the number of purchasers during this week who buy an extended warranty.

The value of P(X=4,Y=2) is the probability that 4 cameras are sold and 2 extended warranties are sold in a week.

P(X=4,Y=2)=p(4,2)=P(Y=2|X=4)×P(X=4)

The number of purchasers purchasing the extended warranty can be 0, 1, ……, x.

Here x is cameras are sold.

Assuming that each customer buys at most 1 camera.

Considering that the event “a purchaser buys extended warranty” as “success” and the event “a purchaser does not buy extended warranty” as “failure”.

In that case, all the customers purchasing cameras buy extended is 60%.

The probability of failure is 0.4.

This follows the binomial distribution, where total number of trials is the number of purchasers of camera and x is the probability of success is 0.6.

The probability that 2 out of 4 cameras purchasers buys extended warranty with probability of success 0.6 is,

P(Y=2|X=4)=4C2(0.6)2(0.4)4−2=6×0.36×0.16=0.3456

Given that,

P(X=4)=0.15

Therefore,

P(X=4,Y=2)=P(Y=2|X=4)×P(X=4)=0.3456×0.15=0.0518

Therefore, the value of

P(X=4,Y=2) is 0.0518.

To learn more about  binomial distribution:

https://brainly.com/question/14565246

#SPJ4

Apply the distributive property to factor out the greatest common factor. 30+42=30+42=30, plus, 42, equals.

Answers

The greatest common factor of 30+42 according to the distributive property is 6×12.

What is distributive property?

The distributive law, which states that equality is always true in elementary algebra, is generalized by the distributive principle of binary operations in mathematics.

For instance, addition is said to be more evenly distributed than multiplication in elementary mathematics.

So, here we wish to calculate the largest common factor between the numbers 30 and 42, which equals the total of 30 and 42.

Going one for one, the biggest divisor of 30 is 15, and since 42 cannot be divided by 15, this means that there isn't a frequent divisor of 30 and 42.

Since 10 is not a divisor of 42 and is the second largest divisor of 30 (10*3 = 30), it is not a common divisor of both 30 and 42.

6, which is also a divisor of 42 (6*7 = 42), is the third-largest divisor of 30 (6*5 = 30).

Then both 30 and 42 have 6 in common the most.

We may factor the total now by:

30 + 42 = 6*5 + 6*7 = 6*(5 + 7) = 6*12

Therefore, the greatest common factor of 30+42 according to the distributive property is 6×12.

Know more about the distributive property here:

brainly.com/question/2807928

#SPJ4

Correct question:
Apply the distributive property to factor out the greatest common factor. 30+42

10 points . Which graph shows Y=⌊x⌋+3? ... Picture provided

Answers

The graph that shows the function Y=⌊x⌋+3 is given by the image shown at the end of the answer.

How to obtain the graph of the function?

The function in this problem is defined as follows:

Y=⌊x⌋+3.

The term ⌊x⌋ is the floor function of x, giving the greatest integer that assumes a value less than x.

The intervals to the function are given as follows:

Open on the left interval.Closed on the right interval.

Then the translation is given as follows:

Y = y + 3.

Meaning that the function was shifted three units up.

Thus the correct graph is the bottom right graph, given by the image shown at the end of the answer, because:

The left graphs give incorrect values, as the horizontal traces are too long.The top right graph has the wrong open/closed intervals.

More can be learned about floor functions at https://brainly.com/question/16238292

#SPJ1

find the taylor series for f(x) centered at the given value of a. [assume that f has a power series expansion. do not show that rn(x) → 0.] f(x) = sin(x), a = ????

Answers

The taylor series of  sin x at  x= π  is ∑( for n=0,∞) [tex]\frac{-1^{n+1}(x-\pi )^{2n+1} }{(2n+1)! }[/tex]

the Taylor series n of a function is an infinite sum of terms that are expressed in terms of the function's derivatives at a single point.

since the function we are given is :

sin(x), since we need to find the Taylor series of sin(x) at x=π, which can also be written as : sin(x+π)

we can find find the Taylor series of sin(x+π) at x=0

sin(x+π)=−sin(x)

    = ∑( for n=0,∞) [tex]\frac{(-1)^{n}x^(2n+1) }{(2n+1)!}[/tex]

      =    ∑( for n=0,∞)    [tex]\frac{-1^{n+1}x^{2n+1} }{(2n+1)!}[/tex]

so sin (x)=  ∑( for n=0,∞) [tex]\frac{-1^{n+1}(x-\pi )^{2n+1} }{(2n+1)! }[/tex]

To know more about Taylor series refer to the link brainly.com/question/28158012

#SPJ4

find the Taylor series for f(x) centered at the given value of a. [assume that f has a power series expansion. do not show that rn(x) → 0.] f(x) = sin(x), a = π????

(0.5- 0.3) power of 2?

Answers

Key ConceptsOperations with exponents

Solving the Question

[tex](0.5- 0.3)^2[/tex]

⇒ Subtract inside the parentheses:

[tex]= (0.2)^2[/tex]

⇒ Evaluate the exponent by multiplying 0.2 by 0.2:

[tex]= 0.04[/tex]

Answer

0.04

Answer:

0.04

Step-by-step explanation:

point is 9 units from the center of a circle of radius 15. how many different chords of the circle contain and have integer lengths?

Answers

Total number of different chords of the circle passing through point P with integer lengths is equal to 7.

As given in the question,

Radius of the circle = 15units

Longest chord of the circle 'diameter' = 2 × 15

                                                               = 30units

Point 'P' is 9 units away from the circle.

Consider shortest distance( perpendicular) of point P for shortest chord.

Half length of the chord , shortest distance and radius form right triangle.

(1/2) length of the chord = √15² - 9²

                                        = √225 - 81

                                        = 12units

Length of the chord = 2(12)

                                 = 24 units

Different Chords with integer length = 24, 25, 26, 27, 28 , 29 , 30

Total number of different chords = 7

total number of chords = 6 original + 6 mirror image + 1 longest chord

                                       = 13

Therefore, total chords with different integer length passing through the point P of the circle is 7.

The complete question is :

A point P is at the 9 unit distance from the center of a circle of radius 15 unit. How many total number of different chord of the circle passing through the point P and have the integer lengths?

Learn more about chords here

brainly.com/question/21686011

#SPJ4

Find the perimeter and area of triangle RST if each unit on the graph measures 1 centimeter. Round your answer to the nearest centimeter, if necessary.
y
8
S-4,5)-6
Q-6,1)
-876
R(-8,-3)
Perimeter
Area
4
-6
81
468x
7(6,-5)
cm²
jcm

Answers

The perimeter and the area of the triangle are given as follows:

Perimeter: 21 cm.Area: 16 cm².

How to obtain the perimeter of the triangle?

The perimeter of the triangle is given by the sum of the lengths of the outer edges of the triangle.

From the image given at the end of the answer, these lengths are of:

AB = 4.AC = 8.BC = 8.83 -> Pythagorean Theorem -> hypotenuse of a right triangle of sides 4 and 8.

Hence the perimeter of the triangle is of:

P = 4 + 8 + 8.83 = 21 cm.

(rounded to the nearest cm, as each unit represents 1 cm).

How to obtain the area of the triangle?

The triangle in this problem is a right triangle, hence the area is obtained by half the multiplication of the sides, as follows:

A = 0.5 x 4 x 8 = 16 cm².

Missing Information

The problem is incomplete, hence a similar problem was given and solved, by the triangle in the image at the end of the answer.

More can be learned about area and perimeter at https://brainly.com/question/25092270

#SPJ1

(1 point) how many strings of four decimal digits (note there are 10 possible digits and a string can be of the form 0014 etc., i.e., can start with zeros.)

Answers

a) Four-digit strings with 10⁴ characters are available.

b) A string that finishes in an odd number has 10 options for the first three digits and 5 options for the last digit.

c) The fourth digit has nine alternatives.

Given,

We have to find the number of strings of four decimal digits for the following conditions;

a) Do not use the same numeral more than once.

There are 10⁴ strings with four decimal digits.

We have 10 options for the first digit, 9 options for the second digit, 8 options for the third digit, and 7 options for the fourth digit when creating a string with 4 different digits. We deduce from the product rule that there are 10 9 8 7 = 5040 four decimal digits with no duplicate digits.

b) End with an odd digit

There are 10 choices (ranging from 0 to 1, 2,..., 9) for the first three digits of a string that ends in an odd number, and 5 possibilities (ranging from 1, 3, 5, 7,.., 9) for the last digit. According to the product rule, there are 5000 strings that terminate in an even number, or 10 × 10 × 10 × 5.

c) Have exactly three digits that are 8

There is one non-8 digit in the 4-decimal string, which includes exactly 3 digits that are 8. Therefore, there are 9 options for the fourth digit (ranging from 0 through 1, 2, 3, 4, 5, 6, and 9). The non-digit may appear in the string at positions 1, 2, 3, or 4. The sum rule leads us to the conclusion that there are 36 four decimal digits with exactly three 8s, which equals 9 + 9 + 9 + 9 = 36.

Learn more about strings of decimal digits here;

https://brainly.com/question/13261487

#SPJ4

Question is incomplete. Completed question is given below;

How many strings of four decimal digits

a) Do not contain the same digit twice

b) End with an odd digit?

c) Have exactly three digits that are 8

Calculate the unit rate for each option and determine which one is the BEST buy.
$160 for 10 books
$114 for 6 books

Answers

Answer:

$160 for 10 books is the BEST buy.

Step-by-step explanation:

To find which one is the best buy, we need to find the unit rate for the books (which is how much each book is worth). We do this by simply dividing the two numbers in each buy:

160 ÷ 10 = 16

114 ÷ 6 = 19

Since the first one is a smaller price, the first one is our answer.

May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 3 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!

It would be $160 for 10 books

Other Questions
what cellular macromolecules make up the complement pathway? what cellular macromolecules make up the complement pathway? carbohydrates lipids nucleic acids proteins What sequence of exercises should you follow when training all major muscle groups in a workout?. It is less important to find an individual to serve as a mentor who personifies company values than to find an individual who is enthusiastic about participating in the program.(False) Who is the current Speaker of the House of Representatives? Multiply. 2u*3u^2 please help me if a tree is 10 inches tall after 1 year and grows 40 inches every 5 years how tall would it be in 19 years which set of words pertains to actions the government takes on behalf of certain individual(s)? responses policies; the president policies; the president policies; the people policies; the people programs; the voting public programs; the voting public programs; congress If a simple pendulum oscillates with small amplitude and its length is doubled, what happens to the frequency of its motion?. A 2. 00 kg, frictionless block is attached to an ideal spring with force constant 300 n/m. At t = 0 the block has velocity -4. 00 m/s and displacement +0. 200 m away from equilibrium. Suppose our student center published data that the average starting salary for college graduates is 59k. You randomly sampled 49 college graduates and calculated the sample average salary is 44k. What test can you use to check whether the true average is 59k?. Partial bonding, for example, as part of a resonance hybrid, often results in structures with _____. an image of the lateral skull taken at 68 kvp, 20 mas and is repeated. if the kvp is increased to 78 kvp, what should be the new mas? Write an equation of the line that passes through the pair of points. (5/12, 1), (3/4, 1/6) quizelt if a person presents to the emergency department and collapses outside the er doors, is emtala evoked? a. yes, but only if they are in active labor. b. yes, the 250-yard zone applies in this case. c. no, the patient must be inside the emergency room for emtala to apply. d. no, the emergency department is not considered "on the hospital campus." given a circle that is divided into n identical sectors, and we have k different colors to paint it. how many ways can we paint it under the condition that no adjacent pieces have the same color? Name the property shown by each statement.c x 1 = ca. Commutative Property of Multiplicationb. Additive Identityc. Multiplicative Identityd. Associative Property of Multiplication nisbett and cohen (1996) studied regional differences in aggression. their research indicates that group of answer choices compared to northern men, southern men are more sensitive to insults. higher homicide rates in the south are due to more lenient gun control laws. conflict is less prevalent among southerners than among northerners because social norms in the south emphasize friendliness and politeness. homicide is less common in the south than in the north. An aqueous solution contains the amino acid glycine (NH2CH2COOH). Assuming that the acid does not ionize in water, calculate the molality of the solution if it freezes at 21.1C if the planes were not frictionless, which block would have the most mechanical energy at the bottom of the inclined plane? an aluminum nail has an excess charge of 4.8 c. how many electrons must be added to the nail to make it electrically neutral?