Simplify (5x^3 y)^2(-2x^5 y^1)

(Someone help me, please!! How do I do this??)

The above prompt has to do with linear functions. The answers to same are given below.

12-14) the graph of the functions are attached accordingly.

15) a) The cost of buying s songs can be calculated using the following function:

C(s) = 0.9s

b) To find the cost of buying 5 songs, we can substitute s = 5 into the function:

C(5) = 0.9(5) = 4.5

So the cost of buying 5 songs is $4.50.

16) he linear function that relates y to x. y = (1/3)x + 3

We can see that the x-coordinates increase by 3 as we move from one point to the next, and the y-coordinates increase by 1 as we move from one point to the next. This suggests that the slope of the line connecting these points is:

slope = (change in y) / (change in x) = 1/3

We can then use the point-slope form of the equation of a line, using one of the points, say (-6,1), as the reference point:

y - y1 = m(x - x1)

where y1 = 1, x1 = -6, and m = 1/3. Substituting in these values, we get:

y - 1 = (1/3)(x + 6)

Expanding and simplifying, we get:

y = (1/3)x + 3

This is the linear function that relates y to x.

17) Since all values of y are constant (-7) regardless of the value of x, we cannot write a linear function that relates y to x. Instead, we can say that y is a constant function with a value of -7. In other words, y = -7 for all values of x.

18) a. To write the linear function that relates y to x, we need to find the slope and y-intercept of the line that passes through the given points. Using the formula for slope, we have:

slope = (change in y) / (change in x)

= (y2 - y1) / (x2 - x1)

= (15 - 12) / (8 - 6)

= 1.5

Using the slope-intercept form of a linear function (y = mx + b), where m is the slope and b is the y-intercept, we can write:

y = 1.5x + b

To find the value of b, we can use any of the given points. Let's use (6, 12):

12 = 1.5(6) + b

b = 3

Therefore, the linear function that relates y to x is:

y = 1.5x + 3

b. The slope of the linear function is 1.5. This means that for every increase of one week in the puppy's age, its weight increases by 1.5 pounds on average. The y-intercept of the function is 3, which means that when the puppy is born (at 0 weeks), its weight is estimated to be 3 pounds.

c. To find out after how many weeks the puppy will weigh 33 pounds, we can use the linear function we found in part (a):

y = 1.5x + 3

Substitute y = 33 and solve for x:

33 = 1.5x + 3

30 = 1.5x

x = 20

Therefore, the puppy will weigh 33 pounds after 20 weeks.

Learn more about linear functions at:

https://brainly.com/question/20286983

#SPJ1

x is greater than eleven thirds.

Inequality are expression that have <, > , ≤ and ≥ .

Therefore,

1 / 5 (5x) + 10 + 5x > 32

Hence,

1 / 5 × 5x + 10 + 5x > 32

x + 10 + 5x >32

combine like terms

x + 10 + 5x >32

x + 5x + 10 > 32

Therefore,

x + 5x + 10 > 32

6x + 10 > 32

subtract 10 from both sides

6x + 10 - 10 > 32 - 10

6x > 22

divide both sides by 6

x > 22 / 6

x > 11 / 3

Therefore, x is greater than eleven thirds.

learn more on inequality here: https://brainly.com/question/2193595

#SPJ1

Answer:

1/64

Step-by-step explanation:

The proper way to design a study comparing online instruction with a standard lecture for teaching statistics would be to use a randomized controlled trial.

Participants should be randomly assigned to either the online instruction group or the standard lecture group. Both groups should cover the same content and have equivalent opportunities for interaction and assessment. The effectiveness of the two methods should then be compared by measuring the performance of participants on a common set of assessments. It is also important to control for potential confounders such as prior knowledge, motivation, and learning style. By following these steps, the study can accurately determine the effectiveness of online instruction compared to the standard lecture method.

Find out more about Statistics

brainly.com/question/16789321

#SPJ4

P(X ≥ 200) = 1 - P(X < 200) ≈ 1.0. In other words, it is very likely (almost certain) that at least 200 out of 210 college graduates under age 20 are employed.

To find the probability that at least 200 out of 210 college graduates under age 20 are employed, we can use the binomial distribution formula:
P(X ≥ 200) = 1 - P(X < 200)
where X is the number of employed college graduates under age 20 out of a sample of 210.
We know that the unemployment rate for college graduates under the age of 20 is 7%. Therefore, the probability of an individual college graduate being unemployed is 0.07.
To find the probability of X employed college graduates out of 210, we can use the binomial distribution formula:
P(X = k) = (n choose k) * p^k * (1-p)^(n-k)
where n is the sample size (210), k is the number of employed college graduates, and p is the probability of an individual college graduate being employed (1-0.07=0.93).
We want to find P(X < 200), which is the same as finding P(X ≤ 199). We can use the cumulative binomial distribution function on a calculator or software to find this probability:
P(X ≤ 199) = 0.000000000000000000000000000001004 (very small)
Therefore, P(X ≥ 200) = 1 - P(X < 200) ≈ 1.0. In other words, it is very likely (almost certain) that at least 200 out of 210 college graduates under age 20 are employed.

To know more about probability visit:

https://brainly.com/question/31120123

#SPJ11

After solving the equations, the cost of parasailing will be 99.75 and the cost of surfing will be equal to 75.25.

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both.

Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

The given information in the question is,

Assume the cost of parasailing is x and the cost of surfing is y.

x + y = 175

Total number of people in Parasailing = 16 people

Total number of people in Surfing = 20 people

Total collection done by resort = $3,101

16x + 20y = 3,101

So, the equations will be,

16x+20y=3,101            (i)

x + y = 175                  (ii)

Now, multiply the equation (ii) by 16 and solve the equation,

16x+20y=3,101

16x+16y= 2,800

4y = 301

Now, find the value of y,

y = 301/4

y = 75.25

Then, the value of x will be equal to,

x + y = 175

x+75.25 =175

Solve for x:

x=175-72.25

x = 99.75

To know more about expression:

https://brainly.com/question/14083225

#SPJ2

It seems that your question is not complete, the complete question should be:

A vacation resort offers surfing lessons and parasailing. If a person takes a surfing lesson and goes parasailing, she will pay $175. There are 16 people who go parasailing and 20 people who take surfing lessons. On a Friday, the resort collects a total of $3,101 for activities. How much does each activity cost?

Answer:

Please provide more details of the question

I don't think you've written the whole question correctly

Answer:

B. 8

Step-by-step explanation:

edge 2021

Answer:

Step-by-step explanation:

\(x^{\frac{1}{2} }\) × \(x^{\frac{1}{4} }\) = \(x^{\frac{1}{2} +\frac{1}{4} }\) = \(x^{\frac{3}{4} }\)

a) The 95% confidence interval for the population mean starting salary is $57,431 to $62,569.b) The 95% confidence interval for the population standard deviation is $3,223 to $5,837.

a. To develop a 95% confidence interval for the population mean, we can use the t-distribution since the sample size is small (n = 16). The formula for the confidence interval is given by:

CI = X ± t * (s / sqrt(n))

where X is the sample mean, s is the sample standard deviation, n is the sample size, and t is the critical value from the t-distribution for a 95% confidence level with (n-1) degrees of freedom.

In this case, the sample mean X is $60,000, the sample standard deviation s is $4,000, and the sample size n is 16. We can find the t-value using the t-distribution table or a statistical calculator.

b. To develop a 95% confidence interval for the population standard deviation, we can use the chi-square distribution. The formula for the confidence interval is given by:

CI = [(n-1) * s^2 / χ^2_upper, α/2, (n-1)] , [(n-1) * s^2 / χ^2_lower, α/2, (n-1)]

where s is the sample standard deviation, χ^2_upper, α/2, (n-1) and χ^2_lower, α/2, (n-1) are the upper and lower critical values from the chi-square distribution for a 95% confidence level with (n-1) degrees of freedom.

In this case, the sample standard deviation s is $4,000 and the sample size n is 16. We can find the upper and lower critical values using the chi-square distribution table or a statistical calculator.

Note: The exact values of the confidence intervals cannot be provided without the specific critical values from the t-distribution and chi-square distribution.

To learn more about Standard deviation - brainly.com/question/29115611

#SPJ11

Let's call the unknown number: X

So, six times a number can be written as:

The quotient of that number and two is:

Therefore, The sum of six times a number and the quotient of that number and two is ten can be written as:

Values of x for blanks 4 , 1 in inequality .

What in mathematics is an inequality number?

A relationship between two values in an algebraic statement that are not equal is shown by an inequality. One of the two variables on the two sides of the inequality can be represented by an inequality sign as greater than, greater than or equal to, less than, or equal to another value.

                              Despite the equals sign being substituted by an arrowhead, the formula 5x 4 > 2x + 3 resembles an equation. It serves as an illustration of inequity. This shows that the left half, 5x 4, is bigger than the right part, 2x + 3.

-3x/4 < 12/1

x < -16

Learn more about inequality

brainly.com/question/30231190

#SPJ1

In one-year, the promised yields have risen to 7%, then the 1-year holding-period return was : (a) 0.61%.

The "Par-value" of the bond (face value) is = $1,000;

Coupon rate = 6% (annual payment coupon)

Yield at purchasing time is = 6%

Yield after 1 year = 7%

Step 1: Calculate the present value of the redeemable value:

We know that PVIF at 7% for 7 years is 0.623,

So, Present value of redeemable value = (Par value) × PVIF = $1,000 × 0.623 = $622.75,

Step 2: Calculate the present value of coupon payments:

Coupon payment = (Coupon rate)×(Par value) = 6% × $1,000 = $60,

We know that PVAF at 7% for 7 years is 5.389,

So, Present value of coupon payments = (Coupon payment) × (PVAF) = $60 × 5.389 = $323.36,

Step 3: Calculate the price of bond after 1 year:

Price of bond = Present value of redeemable value + Present value of coupon payments,

Substituting the values,

We get,

Price of bond = $622.75 + $323.36 = $946.11

Step 4: Calculate the 1-year holding-period return:

Holding return = (Price in next year + Coupon interest - Price in current year) / Price in current year,

Holding return = ($946.11 + $60 - $1,000) / $1,000

Holding return = $6.11 / $1,000

Holding return = 0.00611 = 0.61%.

Therefore, the correct option is (a).

Learn more about Bond here

https://brainly.com/question/31512988

#SPJ4

The given question is incomplete, the complete question is

You buy an 8-year $1,000 par value bond today that has a 6% yield and a 6% annual payment coupon. In 1 year promised yields have risen to 7%. Your 1-year holding-period return was

(a) 0.61%

(b) -5.39%

(c) 1.28%

(d) -3.25%

Answer:

v<-4/35. If you want interval notation it is (-infinity, -4/35)

Step-by-step explanation:

The x-intercept is (4, 0) and y-intercept is (0, 1200) for the equation y = -300x + 1200 and graph shown below.

The data are simply presented in a structured manner in the graph. It helps us understand the data better. The mathematical data accumulated through perception is alluded to as information.

The data or information is shown in a line graph by being connected to one another by a straight line, which is a series of markers or dots.

Given equation is:  y = -300x + 1200

For y-intercept we have to put, x=0

⇒ y = 1200

For x-intercept put, y= 0

⇒ 0 = -300x +1200

⇒ x= 4

Hence, the y-intercept is ( 0, 1200 ) and the x-intercept is ( 4, 0 )

To know more about graph, visit:

https://brainly.com/question/11803331

#SPJ1

The requried, The range is the best measure of variability, and it equals 45. Option B is correct.

The appropriate measure of variability for the data shown is the range, which is the difference between the largest and smallest values in the dataset. From the stem-and-leaf plot, the smallest value is 20 and the largest value is 65. Therefore, the range is 65 - 20 = 45. Thus, the statement "The range is the best measure of variability, and it equals 45" is correct.

Learn more about IQR here:

https://brainly.com/question/31207390

#SPJ1

Answer:

x = 12

Step-by-step explanation:

Step 1: Define

f(x) = 2x - 7

f(x) = 17

Step 2: Substitute

17 = 2x - 7

Step 3: Solve for x

Add 7 on both sides: 24 = 2x

Divide both sides by 2: 12 = x

Step 4: Check

f(12) = 2(12) - 7

f(12) = 24 - 7

f(12) = 17

Answer:

f(17)=2(17)-7

=34-7

=27

Answer:

The perimeter of Elie's vegetable garden is 34 meters.

Step-by-step explanation:

The formula for area is: a=w*l.

A = area

W = width

L = length

If the length is 9 meters, then we know two of the values, the area, and the length. Substitute.

72=w*9

You can divide both sides by 9 to get the width, which is 8 meters.

To find perimeter, we add l+w+l+w, or 2l+2w. Substitute for our values:

2(9)+2(8)=34

The perimeter of Elie's vegetable garden is 34 meters.

Answer: -6 degrees

Step-by-step explanation: First take -18 then subtract by 3, add 7, add 11, subtract 5, and finally add 2. All of those numbers come from the problem stated.

Step-by-step explanation:

sum of all angles in quadrilateral = 360

93+76+14x-7+11x-2 = 360

160+25x=360

25x = 200

x=8

Answer:

nice thats my last name but I do not understand the question

Step-by-step explanation:

Answer: what is the main question?

Step-by-step explanation:

The following equation could be used to represent a function w:

= w(x)=v(x-7)+7

According to the information provided,

The point of discontinuity of rational functions is at x=7.

When a rational function has a point of discontinuity, it generally occurs when,

q(x) = r(x-a), where x = a

In this case, we must pay attention to the following relationship, which is a combination of a parent rational function and a vertical translation:, (2)

If we know that a=7 and k=7.

The equation which can represent w is as follows,

w(x) = v ( x-7 ) + 7

A rational function can be represented as a polynomial split by another polynomial. Because polynomials are defined everywhere, the domain of a rational function is the set of all numbers except the zeros in the denominator.

Example: x = f(x) (x - 3). The denominator, x = 3, has only one zero. Rational functions are no longer defined when the denominator is zero.

To learn more about rational function

brainly.com/question/27914791

#SPJ4

Lindsey has a total of 5 5/12 balls of yarn. Since she needs 5 balls for the baby blanket, she has enough yarn to complete the project. She will have 13/12 of a ball of yarn left after making the blanket, which can be used for other projects.

Lindsey has a total of 5 5/12 balls of yarn, and since she needs 5 balls for the baby blanket, she has enough yarn to complete the project. She will have 5/12 of a ball of yarn left after making the blanket, which can be used for other smaller projects or kept as a spare.

To calculate the total amount of yarn Lindsey has, we add the fractions of each color together. Converting all mixed numbers to improper fractions, we have 1 2/3 + 3/4 + 2 1/6 = 5/3 + 3/4 + 13/6 = 10/6 + 9/4 + 13/6 = 20/12 + 27/12 + 26/12 = 73/12. This means Lindsey has 73/12 balls of yarn.

Since 73/12 is greater than the 5 balls needed for the blanket, Lindsey has enough yarn to complete the project. Subtracting 5 from 73/12 gives us 73/12 - 60/12 = 13/12, which is the amount of yarn she will have left. This leftover yarn can be used for other projects or kept for future use.

Learn more about improper fractions here:

https://brainly.com/question/21449807

#SPJ11

The z-score for P(? ≤ z ≤ ?) = 0.60 is approximately 0.25.

The z-score for P(z ≥ ?) = 0.30 is approximately -0.52.

How to find the Z score

P(Z ≤ z) = 0.60

We can use a standard normal distribution table or a calculator to find that the z-score corresponding to a cumulative probability of 0.60 is approximately 0.25.

Therefore, the z-score for P(? ≤ z ≤ ?) = 0.60 is approximately 0.25.

For the second question:

We want to find the z-score such that the area under the standard normal distribution curve to the right of z is 0.30. In other words:

P(Z ≥ z) = 0.30

Using a standard normal distribution table or calculator, we can find that the z-score corresponding to a cumulative probability of 0.30 is approximately -0.52 (since we want the area to the right of z, we take the negative of the z-score).

Therefore, the z-score for P(z ≥ ?) = 0.30 is approximately -0.52.

Read more on Z score here: brainly.com/question/25638875

#SPJ1

Answer:

There are 80 red counters.

Step-by-step explanation:

There are two really great ways to solve this. (Just focus on the one that works for you)

JUST DEAL WITH COUNTERS:

200 × .15 = 30 There are 30 pink counters.



200×.25= 50

There are 50 green counters.

Take away the pink and green.

200 - 30 - 50 = 120

There are 120 red and white counters.

There's twice as many red as white.

2x + x = 120

3x = 120

x = 40

There are 40 white counters.

There are 80 red counters.

OR, WORK WITH PROBABILITIES.

Pk + Grn + R + Wht = 100%

Use decimals, so the 100% is 1.00

.15 + .25 + 2x + x = 1

.4 + 3x = 1

3x = .6

x = .2

The probability of drawing a white counter is .2

The probability of drawing a red counter is .4

200 × .4 = 80

There are 80 red counters.

Therefore, probability solution is estimating this likelihood without additional data or analysis is inappropriate correct response is option a.

The main goal of the mathematical branch known as statistical inference is to estimate the likelihood that a statement is accurate or that a particular event will take place. Any number among 0 and 1, where 1 typically denotes confidence and 0 typically denotes possibility, can be used to symbolise chance. A probability diagram illustrates the likelihood that a particular occurrence will take place.

Here,

Because of the skewed demographic distribution, the right response is (a).

We could use the normally distributed to compute probabilities because the length of adult American ladybirds is distributed normally with a known standard deviation. The normal distribution may not, however, correctly depict the distribution of ladybird lengths in the population due to the skewed population distribution.

Furthermore, even if the difference between the actual community mean and the assumed mean of 1 cm is tiny, the given size of the population of 440000 could result in a statistically significant outcome.

However, because the assumption of normality may not hold true, this does not imply that we can accurately determine the likelihood of a random ladybird in Raleigh being larger than 1.5 centimetres.

Therefore, estimating this likelihood without additional data or analysis is inappropriate.

To know more about probability visit:

https://brainly.com/question/11234923

#SPJ4

Answer:

c ) 6(-12x+10)

Step-by-step explanation:

6(-12x+10)

-72x+60

The expressions equivalent to -72x + 60 are:

A: -12(6x - 5)

C: 6(-12x + 10)

D: -6(-12x - 10)

We have,

To determine which expressions are equivalent to -72x + 60, we can simplify each expression and compare them.

Let's simplify the given expressions:

A: -12(6x - 5)

Distributing the -12:

-12 * 6x - 12 * (-5)

-72x + 60

B: -12(-6x - 5)

Distributing the -12:

72x + 60

C: 6(-12x + 10)

Distributing the 6:

-72x + 60

D: -6(-12x - 10)

Distributing the -6:

72x + 60

From the simplifications, we can see that expressions A, C, and D are equivalent to -72x + 60.

Therefore,

The expressions equivalent to -72x + 60 are:

A: -12(6x - 5)

C: 6(-12x + 10)

D: -6(-12x - 10)

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ6

The critical value of 2.576. If |z| > 2.576, reject the null hypothesis; otherwise, fail to reject the null hypothesis.

To test the manufacturer's claim at a 1% significance level, we need to perform a hypothesis test. Let's define the null and alternative hypotheses:

Null hypothesis (H₀): The medicine is 90% effective in relieving backache.

H₀: p = 0.9

Alternative hypothesis (H₁): The medicine is not 90% effective in relieving backache.

H₁: p ≠ 0.9

Where p represents the true proportion of people who experience relief from backache after taking the medicine.

To conduct the hypothesis test, we will use the sample proportion and perform a z-test.

Calculate the sample proportion:

p = x/n

where x is the number of people who experienced relief (160) and n is the sample size (200).

p= 160/200 = 0.8

Calculate the standard error:

SE = √(p(1 - p)/n)

SE = √((0.8 * (1 - 0.8))/200)

Calculate the test statistic (z-score):

z = (p - p₀) / SE

where p₀ is the hypothesized proportion (0.9 in this case).

z = (0.8 - 0.9) / SE

Determine the critical value for a two-tailed test at a 1% significance level.

Since we have a two-tailed test at a 1% significance level, the critical value will be z* = ±2.576 (obtained from a standard normal distribution table or calculator).

Compare the absolute value of the test statistic to the critical value to make a decision:

If the absolute value of the test statistic is greater than the critical value (|z| > z*), we reject the null hypothesis.

If the absolute value of the test statistic is less than or equal to the critical value (|z| ≤ z*), we fail to reject the null hypothesis.

Substituting the values into the equation, we can determine the test statistic and compare it to the critical value.

For more about critical value:

https://brainly.com/question/32389590

#SPJ4