HELPP!!! ASAP!!! What is the domain of F(x) = 2|x-1| + 3?
O A.
{x | X23)
OB.
{x | x< 1)
O c.
{x | x5-1)
O D.
{x | x = all real numbers)

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CHINESE>>  

单击上面的链接，回答以下问题，然后，我将回答您的问题。 （如果需要帮助，请回复此评论。）

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HINDI>>  

उपरोक्त लिंक पर क्लिक करें, निम्नलिखित प्रश्न का उत्तर दें, फिर, मैं आपके प्रश्न का उत्तर दूंगा। (यदि आप मदद की जरूरत है, यह टिप्पणी करने के लिए उत्तर दें।)

uparokt link par klik karen, nimnalikhit prashn ka uttar den, phir, main aapake prashn ka uttar doonga. (yadi aap madad kee jaroorat hai, yah tippanee karane ke lie uttar den.)

Answer:

s=5

Step-by-step explanation:

This triangle is right and with two equal sides since it has two congruent angle so we will use the pythagorian theorem:

Step-by-step explanation:

(x - 3)2 = 5

2x - 6 = 5

2x = 5 +6

2x = 11

x = 11/2

x = 5.5

Answer: so what was the answer

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

9 plus 10= 21

The ratio shows how many times one value is contained in another value.

The ratio of stamps from Malaysia, Thailand, and New Zealand is

15M : 10T : 12N

The fraction of stamps from Malaysia is 15/37.

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

The ratio of the number of stamps from Malaysia to the number of stamps from Thailand is 3:2.

This can be written as,

Number of stamps from Malaysia = 3M

Number of stamps from Thailand = 2T

Multiply both by 5.

Number of stamps from Malaysia = 15M ____(1)

Number of stamps from Thailand = 10T _____(2)

The ratio of the number of stamps from New Zealand to the number of stamps from Thailand is 6:5.

Number of stamps from New Zealand = 6N

Number of stamps from Thailand = 5T

Multiply both by 2.

Number of stamps from New Zealand = 12N _____(3)

Number of stamps from Thailand = 10T _____(4)

From (1), (2), (3), (4) we get,

15M : 10T : 12N

The fraction of stamps from Malaysia.

= 15/37

Thus,

The fraction of stamps from Malaysia is 15/37.

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Answer:

See Explanation below

Step-by-step explanation:

This question has missing details because the number of video games is not stated;

However, you'll arrive at your answer if you follow the steps I'll highlight;

The question requests for the number of arrangement; That means we're dealing with permutation

Let's assume the number of video games is n;

To arrange n games, we make use of the following permutation formula;

[tex]^nP_n = \frac{n!}{(n-n)!}[/tex]

Simplify the denominator

[tex]^nP_n = \frac{n!}{0!}[/tex]

0! = 1; So, we have

[tex]^nP_n = \frac{n!}{1}[/tex]

[tex]^nP_n = n![/tex]

Now, let's assume there are 3 video games;

This means that n = 3

[tex]^3P_3 = 3![/tex]

[tex]^3P_3 = 3 * 2 * 1[/tex]

[tex]^3P_3 = 6\ ways[/tex]

So, whatever the number of video games is; all you have to do is; substitute this value for n;

Answer:

a) Test statistic

    Z = 1.265 < 1.96 at 0.05 level of significance

The battery life is not exceeds 40 hours

b)

p- value = 0.8962

Step-by-step explanation:

Step(i):-

Given sample size 'n' =10

Mean of the sample x⁻ = 40.5 hours

Mean of  of the Population μ = 40 hours

Standard deviation of the Population = 1.25 hours

Step(ii):-

Null Hypothesis:H₀: μ = 40 hours

Alternative Hypothesis :H₁ : μ < 40 hours

step(ii):-

Test statistic

               [tex]Z = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }[/tex]

              [tex]Z = \frac{40.5 -40}{\frac{1.25}{\sqrt{10} } }[/tex]

             Z = 1.265

Level of significance = 0.05

Z₀.₀₅ = 1.96

Z = 1.265 < 1.96 at 0.05 level of significance

The battery life is not exceeds 40 hours

Step(iii):-

P - value        

P( Z < 1.265) = 0.5 + A( 1.265)

                     = 0.5 + 0.3962  

                    = 0.8962

P( Z < 1.265) = 0.8962

i ) p- value = 0.8962 > 0.05

Accept H₀

There is no significant

The battery life is not exceeds 40 hours

Answer:

Step-by-step explanation:

A) u = 4      v = 4/(sqrt)3

B) b = 5      c = 10

C) b = 2(sqrt)2     a = 4

D) m and n are both 7(sqrt)2/2

The missing side lengths for the three triangles are 10√3, 12, and 8. The first triangle is a 30-60-90 triangle, the second triangle is a 45-45-90 triangle, and the third triangle is a right triangle. The missing side lengths were found using the properties of special triangles and the Pythagorean Theorem.

Here are the missing side lengths for the following triangles:

Triangle 1:

The missing side length is 15.

The triangle is a 30-60-90 triangle, so the ratio of the side lengths is 1:√3:2. The hypotenuse of the triangle is 20, so the shorter leg is 10 and the longer leg is 10√3. The missing side length is the longer leg, so it is 10√3.

Triangle 2:

The missing side length is 12.

The triangle is a 45-45-90 triangle, so the ratio of the side lengths is 1:1:√2. The hypotenuse of the triangle is 12√2, so each of the legs is 12. The missing side length is one of the legs, so it is 12.

Triangle 3:

The missing side length is 8.

We can use the Pythagorean Theorem to find the missing side length. The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In this case, the hypotenuse is 10 and one of the other sides is 6. Let x be the missing side length.

[tex]10^{2}[/tex] = [tex]6^{2}[/tex] + [tex]x^{2}[/tex]

100 = 36 +[tex]x^{2}[/tex]

[tex]x^{2}[/tex] = 64

x = 8

Therefore, the missing side length is 8.

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Let's raise i to various powers starting with 0,1,2,3...

i^0 = 1

i^1 = i

i^2 = ( sqrt(-1) )^2 = -1

i^3 = i^2*i = -1*i = -i

i^4 = (i^2)^2 = (-1)^2 = 1

i^5 = i^4*i = 1*i = i

i^6 = i^5*i = i*i = i^2 = -1

We see that the pattern repeats itself after 4 iterations. The four items to memorize are

i^0 = 1

i^1 = i

i^2 = -1

i^3 = -i

It bounces back and forth between 1 and i, alternating in sign as well. This could be one way to memorize the pattern.

To figure out something like i^25, we simply divide the exponent 25 over 4 to get the remainder. In this case, the remainder of 25/4 is 1 since 24/4 = 6, and 25 is one higher than 24.

This means i^25 = i^1 = i

Likewise,

i^5689 = i^1 = i

because 5689/4 = 1422 remainder 1. The quotient doesn't play a role at all so you can ignore it entirely

Answer:

7/8 chance

Step-by-step explanation:

There are 7 numbers that are either even or greater than 2: 2, 3, 4, 5, 6, 7, and 8. There is a 7/8 chance choosing either of those.

Answer:

7/8

Step-by-step explanation:

there are 6 numbers that are greater than 2: 3,4,5,6,7,8

there are 4 even numbers: 2,4,6,8

Answer:

[tex]\mathrm{Image \: below.}[/tex]

Explanation:

Ruby talks about a 3D shape, so sphere.

Shriya talks about the points that are equal in distance from the opposite points, the diameter, she is right.

Abhishek's definition is not shown completely in the photo, so by process of elimination, he is incorrect.

Answer:

the three boxes should be filled with

2 8 -12  

respectively

Step-by-step explanation:

The general equation of the parabola in this problem is

y = a(x-h)^2 + k

vertex is at (-2, -20), => k=-20, h = 2

so the equation is

y = a(x+2)^2 - 20

To have y-intercept = -12, we set x = 0

-12 = a(0+2)^2 - 20

a(2^2) = 8

a = 2

therefore the equation of the parabola is

y = 2 (x+2)^2 -20 = 2x^2 + 8x - 12

the three boxes should be filled with

2 8 -12  

respectively

Area of one side of a U.S. dime is approximately 254  square millimeters.

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

Given that  U.S. dime has a diameter of about 18 millimeters.

We need to find the area of one side of a dime to the nearest square millimeter.

Diameter=18 millimeters

Diameter is two times of radius

D=2R

18=2R

Divide both sides by 2

Radius is 9 millimeters.

Area of dime=πr²

=3.14×(9)²

=3.14×81

=254 square millimeters.

Hence, area of one side of a U.S. dime is approximately 254  square millimeters.

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Answer:

0.9056

Step-by-step explanation:

We are given;

Number of students enrolled in both General Chemistry and Calculus I = 540 students

Number of students who received an A in general chemistry = 51 students

Number of students who received an A in calculus = 59 students

Number of students who received an A in both general chemistry and calculus = 30 students

Now, we want to find the probability that a randomly chosen student did not receive an A in general chemistry.

So, first of all let's calculate number of students who didn't receive an A in chemistry.

So,

No without A in chemistry = 540 - 51 = 489 students

So, probability that a randomly chosen student did not receive an A in general chemistry = 489/540 = 0.9056

Answer:

A, C, E, and F.

Step-by-step explanation:

To find the y-intercept, simply plug in 0 for x since y-intercepts are (0,y):

[tex]f(0)=\frac{(0-3)(0+4)(0-1)}{(0+2)(0-12)} =\frac{(-3)(4)(-1)}{(2)(-12)} =\frac{12}{2(-12)}=-1/2[/tex]

[tex](0,-1/2)[/tex]

To find the x-intercepts, plug in 0 for y since x-intercepts have the format (x,0):

[tex]0=\frac{(x-3)(x+4)(x-1)}{(x+2)(x-12)}[/tex]

[tex]0=(x-3)(x+4)(x-1)[/tex]

[tex]x=3, -4, 1[/tex]

[tex](-4,0), (1,0), (3,0)[/tex]

The correct choices are:

A, C, E, and F.

Answer:

a. Apparent correlations between two or more variables can stimulate investigation and present possible solutions to be explored.

Step-by-step explanation:

Correlation is a scenario, where an action X causes another action Y to occur, but one of the actions does not really need to affect the other's occurrence. Correlation occurs because of the tendency of people to seek the relationship between events. The fact that two events are happening at the same time does not necessarily imply a cause and effect relationship, although there might be a possibility of such.

Correlation is used in scientific studies to draw the relationship between two events, but it does not stop at that. Through investigation has to be made to confirm that there is indeed a correlation.

Answer:

Step-by-step explanation:

The point slope form of a straight line is expressed as

y - y1 = m(x - x1)

Where

m represents slope of the line

y1 represents the initial value of y

x1 represents the initial value of x

If two lines are parallel, it means that they have the same slope. From the equation of the given line, slope = 1/2

Therefore,

m = 1/2

x1 = - 3

y1 = - 2

Substituting into the point slope equation, it becomes

y - - 2 = 1/2(x - - 3)

y + 2 = 1/2(x + 3)

The equation is

y + 2 = 1/2(x + 3)

Answer: The point slope form of a straight line is expressed as y - y1 = m(x - x1)Wherem represents slope of the liney1 represents the initial value of yx1 represents the initial value of xIf two lines are parallel, it means that they have the same slope. From the equation of the given line, slope = 1/2Therefore,m = 1/2x1 = - 3y1 = - 2Substituting into the point slope equation, it becomesy - - 2 = 1/2(x - - 3)y + 2 = 1/2(x + 3)The equation is y + 2 = 1/2(x + 3)

Step-by-step explanation:

Answer:

$39,000

Step-by-step explanation:

This is the best answer because you recieve the most money. 2630*12 is 31560 dollars, and 665*52= $34580.

Answer:

Angle P is congruent to itself due to the reflexive property.

Explanation:

Angle P must be congruent to angle S through corresponding angle theory.

Otherwise, it wouldn't prove ΔPQR is similar to ΔSTR.

Answer:

Angle P is congruent to itself due to the reflexive property.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Area of a square with side of length L is expressed as A = L². The rate at which the area is increasing will be expressed as dA/dt.

dA/dt = dA/dL * dL/dt where

dL/dt is the rate at which each side of the square is increasing.

Since dA/dL = 2L, dA/dt = 2L dL/dt

Given dL/dt = 5cm/s and the Area of the square = 49 cm²

49 = L²

L = √49

L = 7cm

dA/dt = 2(7) * 5

dA/dt = 14*5

dA/dt = 70cm/s

The rate at which the area of the square is increasing is 70cm/s

Answer:

  50.18°

Step-by-step explanation:

  ∠BAD = ∠BAC +∠CAD

  102° = (8x+17)° +(9x+11)° . . . . . substitute given values

  102 = 17x +28 . . . . . . . . . . simplify, divide by degrees

  x = (102 -28)/17 = 74/17 . . . . . solve for x

Then the angle of interest is ...

  ∠CAD = (9x +11)° = (9(74/17) +11)° = 50 3/17°

  ∠CAD ≈ 50.18°

Answer:

C. P(A) = 0.35, P(B) = 0.65, P(C) = 0.30, P(D) = 0.70, P(E) = 0.70, P(F) = 0.30

Step-by-step explanation: Plato / Edmentum

The probability values fit is:

P(A) = 0.35, P(B) = 0.65, P(C) = 0.70, P(D) = 0.30, P(E) = 0.70, P(F)= 0.30

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

We have,

The probability that an employee gets placed in a job that is suitable for the employee is 0.65.

The test has an accuracy rate of 70%.

So, P(A) = 0.35

Then, P(B) = 1 - P(A) = 1- 0.35 = 0.65

Now, P(C) = 70%= 0.70

P(D) = 1- 0.70 = 0.30

Now, P(E) = P( test for correct job) = 0.70

P(F) = 0.30

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Answer:

y= 3x+2

Step-by-step explanation:

i think im sorry if its wrong

Answer:

the probability that a random sample of 17 persons will exceed the weight limit of 3,417 pounds is 0.0166

Step-by-step explanation:

The summary of the given statistical data set are:

Sample Mean = 186

Standard deviation = 29

Maximum capacity 3,417 pounds or 17 persons.

sample size = 17

population mean =3417

The objective is to determine the probability  that a random sample of 17 persons will exceed the weight limit of 3,417 pounds

In order to do that;

Let assume X to be the random variable that follows the normal distribution;

where;

Mean [tex]\mu[/tex] = 186 × 17 = 3162

Standard deviation = [tex]29* \sqrt{17}[/tex]

Standard deviation = 119.57

[tex]P(X>3417) = P(\dfrac{X - \mu}{\sigma}>\dfrac{X - \mu}{\sigma})[/tex]

[tex]P(X>3417) = P(\dfrac{3417 - \mu}{\sigma}>\dfrac{3417 - 3162}{119.57})[/tex]

[tex]P(X>3417) = P(Z>\dfrac{255}{119.57})[/tex]

[tex]P(X>3417) = P(Z>2.133)[/tex]

[tex]P(X>3417) =1- 0.9834[/tex]

[tex]P(X>3417) =0.0166[/tex]

Therefore; the probability that a random sample of 17 persons will exceed the weight limit of 3,417 pounds is 0.0166

Answer: See below

Step-by-step explanation:

1. (fоg)(x) means f of g(x). You would plug in g(x) into f(x).

(fоg)(x)=3(4x²-5)-3

(fоg)(x)=12x²-15-3

(fоg)(x)=12x²-18

_____________________________________________________

2. (gоf)(x) means g of f(x). You would plug in f(x) into g(x).

(gоf)(x)=4(3x-3)²-5

(gоf)(x)=4(9x²-18x+9)-5

(gоf)(x)=36x²-72x+36-5

(gоf)(x)=36x²-72x+31

_____________________________________________________

3. (fоg)(0) means f of g(0). You would plug in g(0) into f(x).

(fоg)(0)=3(-5)-3

(fоg)(0)=-15-3

(fоg)(0)=-18

_____________________________________________________

4. (gоf)(0) means g of f(0). You would plug in f(0) into g(x).

(gоf)(0)=4(-3)²-5

(gоf)(0)=4(9)-5

(gоf)(0)=36-5

(gоf)(0)=31

Answer:

Length =  502 ft

Width = 212 ft

Step-by-step explanation:

Recall the formula for the perimeter of a rectangle of length "L" and width "W":

Perimeter = 2 L + 2 W = 1428  ft

Now, since the length is 78 ft more than twice the width, then we can write this in mathematical form as:

L = 2 W +78

so, 2 W = L -7 8

and now replace "2 W" with it equivalent  "L - 78"  in the first perimeter equation and solve for "L":

2 L + L - 78 = 1428

3 L = 1428 + 78

3 L = 1506

L = 1506/3

L = 502 ft

Then the width W can be obtained via:

2 W = L - 78

2 w = 502 -78

2 W = 424

w = 212 ft

Answer:

Yes, it contradict this prior belief as there is enough evidence to support the claim that the true average escape time is significantly higher than 6 minutes.

Test statistic t=2.238>tc=1.708.

The null hypothesis is rejected.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the true average escape time is significantly higher than 6 minutes (360 seconds).

Then, the null and alternative hypothesis are:

[tex]H_0: \mu=360\\\\H_a:\mu> 360[/tex]

The significance level is 0.05.

The sample has a size n=26.

The sample mean is M=370.69.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=24.36.

The estimated standard error of the mean is computed using the formula:

[tex]s_M=\dfrac{s}{\sqrt{n}}=\dfrac{24.36}{\sqrt{26}}=4.777[/tex]

Then, we can calculate the t-statistic as:

[tex]t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{370.69-360}{4.777}=\dfrac{10.69}{4.777}=2.238[/tex]

The degrees of freedom for this sample size are:

[tex]df=n-1=26-1=25[/tex]

The critical value for a  right-tailed test with a significance level of 0.05 and 25 degrees of freedom is tc=1.708. If the test statistic is bigger than 1.708, it falls in the rejection region and the null hypothesis is rejected.

As the test statistic t=2.238 is bigger than the critical value t=1.708, the effect is significant.  The null hypothesis is rejected.

There is enough evidence to support the claim that the true average escape time is significantly higher than 6 minutes (360 seconds).

Answer:

5380839  infected

Step-by-step explanation:

Let's do the calculations day by day, we have:

Day 1

That person spread 9 people.

Day 2

Each of the nine people infect 9 others, plus that person infected 9 others, therefore it would be:

9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 = (9 x 9) + 9 = 9 ^ 2 + 9 (assume this number as first term + second term)

Day 3

By the end of day 2, there were a total of 9 ^ 2 persons (first term) will infect 9 each, which makes this figure:

 9 ^ 2 + 9 ^ 2 + 9 ^ 2 + 9 ^ 2 + 9 ^ 2 + 9 ^ 2 + 9 ^ 2 + 9 ^ 2 + 9 ^ 2 = 9x9 ^ 2 = 9 ^ 2. The second term will now become 9 ^ 2, plus another 9 infected by the person who started it all. Therefore it would remain:

9 ^ 3 + 9 ^ 2 + 9

Following the sequence would be:

Day 4

9 ^ 4 + 9 ^ 3 + 9 ^ 2 + 9

Day 5

9 ^ 5 + 9 ^ 4 + 9 ^ 3 + 9 ^ 2 + 9

 Day 6

9 ^ 6 + 9 ^ 5 + 9 ^ 4 + 9 ^ 3 + 9 ^ 2 + 9

Day 7

9 ^ 7 + 9 ^ 6 + 9 ^ 5 + 9 ^ 4 + 9 ^ 3 + 9 ^ 2 + 9 = 5380839

Which means that in total there would be 5380839  infected

Answer:

60% probability that the commuting time will be less than 70 minutes

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X lower than x is given by the following formula.

[tex]P(X < x) = \frac{x - a}{b-a}[/tex]

Suppose that the actual commuting time is uniformly distributed between 64 and 74 minutes.

This means that [tex]a = 64, b = 74[/tex]

What is the probability that the commuting time will be less than 70 minutes

[tex]P(X < 70) = \frac{70 - 64}{74 - 64} = 0.6[/tex]

60% probability that the commuting time will be less than 70 minutes

Answer:

Option A is correct.

The surveys are biased because people chose to respond or not.

Step-by-step explanation:

When humans are given the choice whether to participate in a poll like in this question, most often than not, the poll is biased.

This is because only the people or set of people who feel strongly the most about the subject matter of the poll will participate in the poll. This favours the group that disagrees as this group, if given the choice to express their opinion, will most likely be the set of people that will readily express their discontent.

Discontent is more visibly and strongly expressed in humans.

In order to remove this bias, people should have been chosen at random and their responses recorded.

The two other options are not absolutely correct, these are the reasons.

b. Because of the large sample size, the results are most accurate of all members of the community.

Like I expressed above, the base of the sample is flawed and biased as it will most likely favour a group of the population that don't agree with the law. So, no matter how large the sample is, that type of bias makes the poll unreliable.

c. The same sampling methods were used for both polls, demonstrating reliability.

The sampling method is biased, so, it doesn't matter if it is repeated for both polls. it most likely will not represent the correct general consensus about the new traffic law.

Hope this Helps!!!

Answer:

Step-by-step explanation:

The cost of the car is $12,000

We would apply the periodic interest rate formula which is expressed as

P = a/[{(1+r)^n]-1}/{r(1+r)^n}]

Where

P represents the monthly payments.

a represents the cost of the car

r represents the interest rate

n represents number of monthly payments. Therefore

a = 12000

r = 3%/12 = 0.03/12 = 0.0025

n = 12 × 4 = 48

Therefore,

P = 12000/[{(1+0.0025)^48]-1}/{0.0025(1+0.0025)^48}]

12000/[{(1.0025)^48]-1}/{0.0025(1.0025)^48}]

P = 12000/{1.127 -1}/[0.0025(1.127)]

P = 12000/(0.127/0.0028175)

P = 12000/45.075

P = $266.22

The monthly payment is $266.22

The total amount that would be paid over the life of the loan is

266.22 × 48 = $12778.56

The amount of interest paid is

12778.56 - 12000 = $778.56