The same trip will be 8 hours long if you traveled at 10 mph
How to determine how long the trip would take with 10 mph?
Variation is a concept that deals with variability or change in mathematics. Variation is defined as any change in some quantity due to a change in another
Given: The time T it takes to travel some distance varies inversely with the rate r of travel. This implies:
T α 1/r
T = k/r where k is the constant of proportionality
if it takes 2 hours to get somewhere traveling 40 mph. Then:
2 = k/40
k = 2 x 40 = 80
How long would the same trip take you instead if you traveled 10 mph will be:
T = k/r
T = 80/10
T = 8 hours
Therefore, the same trip take you 8 hours if you traveled 10 mph
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Select the correct answer. How many solutions does this system of equations have? y = x^2 + x + 3, y = -2 - 5
A. No solution
B. 1 solution
C. 2 solutions
D. 3 solutions
The system of equations has no solutions, the correct option is A.
How many solutions does the system of equations has?
The system of equations is:
y = x^2 + x + 3
y = -2x -5
The system can be solved if we solve the equation:
-2x - 5 = x^2 + x + 3
So we need to solve that quadratic equation, we can rewrite it as:
x^2 + x + 3 + 2x + 5 = 0
x^2 + 3x + 8 = 0
Let's check the discriminant to see how many solutions we have:
D = (3)^2 - 4*1*8
D = 9 - 32 = -23
We have a negative discriminant, so we only have complex solutions, thus, the system of equations has no solutions.
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How would you solve this?
The irregular hexagon has an area of 147 square units. (Correct choice: A)
How to find the area of an irregular polygon
In this problem we have an irregular hexagon that is the result of subtracting a small rectangle from a great rectangle. Likewise, the area of this hexagon is the result of subtracting the area of the small rectangle from the area of the great rectangle. From geometry we know that the area formula for the rectangle is:
A = w · h
Where:
A - Area of the rectangle, in square units.w - Width of the rectangle, in units. h - Height of the rectangle, in units.Now we proceed to determine the area of the irregular polygon:
A'' = A - A'
A'' = 13 · 12 - 3 · 3
A'' = 156 - 9
A'' = 147
The area of the irregular hexagon is equal to 147 square units.
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what is the recursive formula
Answer: The recursive formula generate term at a time by relating the term to one or more previous terms
Step-by-step explanation: The formula for recursive is
f(1)=6,f(n)=f(1)+f(n-1),n>1
Find an equation that is perpendicular to 4x+3y=12
Answer:
Step-by-step explanation
x=2
suppose that prices of a certain model of new homes are normally distributed with a mean of $150,000 with a standard deviation of $2,500. use the 68-95-99.7 rule to find the percentage of buyers who paid.b) more than $155,000
Percentage of buyers who paid more than $155,000 is equal to 2.78%.
What is standard deviation?The standard deviation is a metric that reveals the degree of variation (such as spread, dispersion, and spread) from the mean. The standard deviation represents a "average" departure from the mean. Because it uses the original units of measurement from the data set, it is a well-liked measure of variability. Similar to variance, there is little variation when data points are close to the mean, but there is much variation when data points are widely scattered from the mean. The amount of departure from the average is determined by standard deviation. The most common measurement of dispersion, the standard deviation, is based on all values. Therefore, a change in even one value has an impact on the standard deviation's value. It is
Given:
Mean is $150,000, and
Standard deviation is $2500.
We need to determined the percentage of buyers who paid more than $1,55,000 as per given mean and standard deviation.
By using z score formula can be use to calculate the percentage of the buyer who paid,
z= [tex]\frac{x-μ}{σ}[/tex]
As given in question sample mean i.e. X= 150,000
= [tex]\frac{1,55,000- 1,50,000}{2500}[/tex]
=2
By using standard normal distribution table,
P(X > 155000) = P( z > 2 )
= 1 - 0.9772
=0.0278
Hence, it is equal to 2.78%.
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I need help thank you. (pls give a proper explanation) here is the question I need this asap pls answer quick
...............................
To keep track of each student's preferred hue, Mr. Roberson constructed a frequency table. According to the frequency chart, the following statements are accurate:
Twice as many students prefer green than purple.Two more students prefer blue than purple.Hence, Options B and D are correct.
What is the meaning of the term “frequency table”?The number of times a specific value appears in the data is the value's frequency. Frequency tables or charts are used to represent frequency distributions.
A variable's distribution is its frequency pattern, or the collection of all conceivable values and the frequencies corresponding to those values.
Therefore, Options B and D are correct.
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(1 point) from a group of 8 men and 7 women a committee consisting of 4 men and 3 women is to be formed. how many different committees are possible if
There are 1365 different committees that are possible if a group of 3 men refuses to serve together.
Given that,
From an 8 men, 7 woman group A committee made up of four men and three women will be created.
If all prerequisites are met, a total of committees could be formed.
⁸C₄ x ⁷C₅= 70 x 21= 1470
Three males now reject serving in unison.
As a result, in the event that they serve simultaneously, a combination is= ⁵C₄ x ⁷C₅= 5 x 21= 105
Therefore, a combination that could be used in the event that they don't work together is = 1470- 105= 1365
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In triangle XYZ, m2Y = 63.25° and mzZ= 28.8°. Determine the measure of the exterior angle to X.
O92.05°
87.95°
061.20⁰
26.75°
ASAP!!
The value of the exterior angle of the measure of the angle X is found as 120.85°.
Explain the term linear pair?When two lines cross at one point, a linear pair with angles is created. If the angles follow the intersections of the two lines in a straight line, they are referred to as linear. A linear pair's total angles are always proportional to 180°.For the stated question-
Three angles of the triangle XYZ are-
∠Y = 63.25°
∠Z = 28.8°.
then, by angle sum property of triangle.
∠X + ∠Y + ∠Z = 180
∠X = 180 - 63.25° - 28.8°.
∠X = 87.95
Thus, exterior angle to X.
Exterior angle = 180 - ∠X (linear pair)
Exterior angle = 180 - 87.95
Exterior angle = 120.85°
Thus, the value of the exterior angle of the measure of the angle X is found as 120.85°.
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Answer:
the answer is 87.95
Step-by-step explanation:
Please help me solve
Answer:2sin(x)
Step-by-step explanation:.
Answer: D.
Step-by-step explanation:
Jenna received some gift cards for music and movie downloads for her birthday. Using one of
them, she downloaded 16 songs and 2 movies, which cost a total of $46. Using another, she
purchased 1 movie, which cost a total of $15. How much does each download cost?
Answer:
Step-by-step explanation: 500
In order for the data in the table to represent a linear function with a rate of change of +5, what must be the value of a?a = 3a = 8a = 18a = 33.
A linear function with a rate of change of +5 is depicted in the table as m = 13 + 5 = 18.
What is a linear function?A straight line on the coordinate plane is represented by a linear function.
As an illustration, the equation y = 3x – 2 depicts a linear function because it is a straight line in the coordinate plane.
This function can be expressed as f(x) = 3x - 2 since y can be replaced with f(x).
We will discover what a linear function is in this article, along with information on its graph, domain, and range.
Additionally, we will learn how to recognize a linear function and how to calculate its inverse.
According to our question-
The graph in the table shows a linear function.
The linear function's general equation is y = ax+b, where a denotes slope and b denotes a constant.
Finding the equation of the linear function at x = 3 y = 13 and at x = 5 y = 23 13 = 3a+b by utilizing the first and third points from the table (1)
23 = 5a+b → (2) find a and b by resolving (1) and (2)
Consequently, a = 5 and b = -2; y = 5x – 2
After then, the equation of y = y = 5*4-2 = 18 was changed by substituting x = 4 in it.
m = 18
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Madelyn launches a toy rocket from a platform. The height of the rocket in
feet is given by h(t) = -16t² + 16t+ 96 where t represents the time in
seconds after launch. What is the appropriate domain for this situation?
Answer:
The domain of the function (t) in h(t) = -16t² + 16t+ 96 should be greater than or equal to 3 seconds.
What are inequalities?Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way. The symbol a < b indicates that a is smaller than b. When a > b is used, it indicates that a is bigger than b.
Given that height of the rocket in feet is given by h(t) = -16t² + 16t+ 96 where t represents the time in seconds after launch
We know that height can not be negative.
∴ h ≥ 0.
So, - 16t² + 16t+ 96 ≥ 0.
- t² + t+ 6 ≥ 0.
t ≥ 3 seconds.
Therefore the domain of the function (t) in h(t) = -16t² + 16t+ 96 should be greater than or equal to 3 seconds.
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mary has 16 forks and 12 knives to place in silverware holders at the fast food restaurant where she works. she wants to distribute them equally, with no forks or knives left over. what is the greatest number of silverware holders mary can stock?
The greatest number of silverware holders Mary can stock is 4, each containing 4 forks and 3 knives so that no fork or knife is left over and are distributed equally.
What is distribution?
When a quantity is to be distributed equally into a certain number of groups, we divide the quantity by the number of groups.
Equating number of silverware stocks :Given: 16 Forks and 12 knives
To find: number of silverware stocks = ?
As we know that the knives and forks should be distributed equally in each silverware holder, 4 forks and 3 knives will go into each of the silverware holder.
Now, we need number of silverware holders each having same number of forks and knives.
4 forks×4 = 16
3 knives× 4 = 12
∴ Number of silverware holders Mary requires to distribute knives and forks equally with no left over is 4.
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4. Find the value of x and the length of the three sides.
Answer:
I think the values are :
Step-by-step explanation:
AC= -5
CB= -2
AB= -3
help please got the answer -.75 but don't think it's the right answer, please help or
Verify. The first to answer correctly will be rewarded the brainleyest
Answer:
f = 8
Step-by-step explanation:
First, let's multiply this equation out
10 = 3f - 15 + 1
Simplify:
10 = 3f - 14
Add 14 to both sides:
24 = 3f
Divide both sides by 3:
f = 8
Let's plug this in to make sure:
10 = 3(8 - 5) + 1
10 = 24 - 15 + 1
10 = 24 - 14
10 = 10
Thus, the answer is not -75, but I applaud you for trying before coming here!
I hope this helped!
Which expression is equivalent to x 6 – 16x 2
Answer:
Below
Step-by-step explanation:
x^6 -16x^2 = x^2 ( x^4 - 16 ) is one possibility
( you didn't include choices)
Five friends divid three bags of apples equally between them. Write the division represented in this situation as a fraction.
The fraction when five friends divide three bags of apples equally between them is 3/5.
What is a fraction?A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.
Therefore, the fraction when five friends divide three bags of apples equally between them will be:
= Number of apple / Number of friends
= 3/5
The fraction is 3/5.
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Write an equivalent expression by distributing the "-" sign outside the parentheses: 8.2r - (-7s− 1)
Answer:
8.24 + 7s + 1
Step-by-step explanation:
You negate everything in the parentheses, so --7s and --1, which turns into 7s and 1.
you toss a fair coin 9 times. find the probability of no more than 8 heads given that at least one toss resulted in heads.
On tossing a fair coin 9 times, the probability of no more than 8 heads where at least one toss is heads would be 511/512.
What is Probability?The possibility of an event happening is gauged by probability. Many things are difficult to forecast with absolute confidence. We can only anticipate the likelihood of an event occurring using it. Probability can vary from 0 to 1, with 0 being an impossibility and 1 denoting a certainty. For pupils in Class 10, probability is a crucial subject since it teaches all the fundamental ideas of the subject. One is the probability of every event in a sample space.
How to solve?
total number of possibilities on tossing a coin 9 times= 2^9
number of ways to get all heads = 1/2^9
number of getting at most 8 heads = number of ways of getting one tail
= 1 - 1/2^9
=511/512
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I need help what is Three times a number is less than twice the number added to 8 ?
Answer:
Step-by-step explanation:
The answer is 3.
X=2X-3
X+3=2X
3=2X-X
3=X
Answer:
3x < 2x + 8
Step-by-step explanation:
At Master Street Elementary School
there are 22 classrooms. If there are
30 students in each classroom, how
many students are there in the entire
school?
660 or it may not be that because only said that theres 22 classrooms. So yeah ;)
30 x 22 = 660 its just multiplication
The amount of money in an account may increase due to rising stock prices and decrease due to falling stock prices. Mason is studying the change in the amount of money in two accounts, A and B, over time.
The amount f(x), in dollars, in account A after x years is represented by the function below:
f(x) = 10,125(1.83)x
Part A: Is the amount of money in account A increasing or decreasing and by what percentage per year? Justify your answer. (5 points)
Part B: The table below shows the amount g(r), in dollars, of money in account B after r years.
r (number of years) 1 2 3 4
g(r) (amount in dollars) 9,638 18,794.10 36,648.50 71,464.58
Which account recorded a greater percentage change in amount of money over the previous year? Justify your answer.
(a) The amount will be increasing by 83%.
(b) Part B's account has a higher percentage change in money over the preceding year than Part A's account.
A part or quantity in every hundred is defined as a percentage. It's a fraction having a denominator of 100. The percentage difference is the change in the value of a quantity over time expressed as a percentage difference. Percentage Change is a term used to describe the growth or decrease in a quantity expressed in percentages.
Find:
Whether the amount is increasing or decreasing over the years and which is experiencing a greater change.
From the given equation,1.831>1 , this shows that money in account A is 83% more, compared to its previous year. The amount will be increasing by 83%.
Part B:
The change in each consecutive term is 94%. This shows that the consecutive term is multiplied by 94% the previous year's amount. As a result, Part B's account has a higher percentage change in money over the preceding year than Part A's account.
Hence we get the required answer.
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Use the unit fraction 1/5 to represent the space between the tick marks on the number line. Write an expression involving subtraction that is being modeled. Then find the difference.
suppose that the mean weight of king penguins found in an anarctic colony last year was 15.4 kilograms and the standard deviation was 2.5 kilograms. you want to test the null hypothesis that the mean penguin weight this year does not differ from last year. assume that the standard deviation has not changed. you are planning to measure a random sample of 100 penguins. at 10% significance level, find the critical values for the test.
we are 90% confident that the mean penguin height lies in the range:
14.99 and 15.81
A popular deviation (or σ) is a degree of the way dispersed the facts is on the subject of the imply. Low popular deviation way facts are clustered across the imply, and excessive popular deviation shows facts are greater unfold out. What is the usual deviation example? Consider the facts set: 2, 1, 3, 2, four.
The imply and the sum of squares of deviations of the observations from the imply could be 2.four and 5.2, respectively. Thus, the usual deviation could be √(5.2/5) = 1.01. Standard deviation tells you ways unfold out the facts is. It is a degree of the way some distance every determined fee is from the imply. In any distribution, approximately 95% of values could be inside 2 popular deviations of the imply.
Given sample mean=x=15.4 kg
sample standard deviation=s=2.5 kg
sample size=n=100 penguins
z multiplier for 90 CI is 1.645
90% CI for population mean is given by:
[tex]X+Z_{\frac{\alpha }{2} } * \frac{Z}{\sqrt[]{N} }[/tex]
15.4 (±)1.645(2.5)/sqrt(100)
15.4(±)1.645(2.5)/10
15.4 (±) 0.41125
15.4-.41125<μ<15.4+.41125
14.98875<μ<15.81125
we are 90% confident that the mean penguin height lies in the range
14.99 and 15.81
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the number of golf balls in tigers golf bag (y) after x rounds of golf is represented by the equation y=-3x+28 what is the meaning of the value of "-3" in the context of this situation? question 8 options: tiger loses 3 balls each round. tiger begins with 3 balls in his golf bag. tiger finishes with 3 balls in his bag. tiger adds 3 balls to his bag each round.
Question 8 options:
Tiger begins with 3 balls in his golf bag.
Tiger finishes with 3 balls in his bag.
Tiger adds 3 balls to his bag each round.
The value of "-3" in the context of this situation is "tiger loses 3 balls each round".
The correct answer option is option A
How to determine the parameters in an equation?y = -3x + 28
Where,
The number of golf balls in tigers golf bag = yRounds of golf = xNumber of balls lost each round = -3For instance, if the tigers played 8 rounds of golf,
The number of golf lost = - 3x
= -3(8)
= -24
Then,
The number of golf balls in tigers golf bag,
y = -3x + 28
= -3(8) + 28
= -24 + 28
= 4 golf balls.
Therefore, the situation can be solved using equation and determining the parameters of the equation.
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Answer:
Tiger begins with 3 balls in his golf bag.
Step-by-step explanation:
:)
Find the absolute extrema for the given function on the interval [15.6, 19.2). Write your answer in the form (x.f(x)). Round your answers to two decimal places. f(x) = In (12x^2 - 11x + 2)
Absolute Minimum: Absolute Maximum
we use is the derivative of top times bottom times top over bottom squared. At the critical point, we want eight X ln x minus four X to equal zero.
Only one answer—two x minus one and one x minus half—will satisfy the condition. The largest and smallest endpoints on the left and right must be determined. On each of these items, there is an E square root. A maximum for the minimums occurs at critical point or endpoints. We can see that these will be absolute according to the extreme value theorem, and here is our maximum.
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PLEASE HELP QUICK THIS IS DUE IN 5 MINUTES!!!
Find the surface area of a cube with side lengths of 2 meters.
Use the formula SA= 6s², where s =side lengths (This is algebra)
A: 10 square meters
B: 64 square meters
C: 144 square meters
D: 24 square meters
Answer:
The answer is d: 24 square meters
PLS HELP!!! I really need help!
Use substitution to solve the system.
5x + 4y = 9
-2x + y = -14
Answer:
x = 9/5 − 4y/5
x = 7 + y/2
Step-by-step explanation:
Move all terms that dont contain x to the right side and solve.
Help fast due soon
Given: AC = CB
CD Bisects AB
Prove: AADC= ABDC
What are the statements and reasons
Answer:
Step-by-step explanation:
Given: AC = CB
CD Bisects AB
Prove: ΔADC= ΔBDC
AC≅CB Given
AD ≅ DB are congruent because of the segment bisector theorem.
DC≅DC reflexive property
ΔADC≅ ΔBDC SSS theorem
A factory make heet of metal that are 1/2 of an inch thick. If a worker at the factory make a tack of 10 of the heet, how many inche thick will the tack be
We know that the stack of 10 sheets will be 5 inches thick using simple mathematical operations.
What do we mean by mathematical operations?An operation is a function in mathematics that transforms zero or more input values into a clearly defined output value.
The operation's arity is determined by the number of operands.
The rules that specify the order in which we should solve an expression involving many operations are known as the order of operations.
PEMDAS stands for Parentheses, Exponents, Multiplication, Division, Addition Subtraction (from left to right).
So, we know that:
Each sheet is 1/2 inch thick.
The worker prepares a stack of 10 sheets.
Then, calculate the thickness of the tack as follows:
1/2 * 10
1 * 5
5 inches
Therefore, we know that the stack of 10 sheets will be 5 inches thick using simple mathematical operations.
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