Evan charged Jill $32 for parts and $15 per hour to repair her bicycle. If he spent 4 hours repairing
her bike, how much does Jill owe him?

Answer:

Part A Part B Part C explained

Step-by-step explanation:

PART A: Extrema: relative minimums (4,-2) and maybe (7,-3) (uncertain because it’s an endpoint), relative maximums (6,0) and maybe (1,6) (uncertain because it’s an endpoint)

Zeros: (6,0), somewhere between t = 3 and t = 4 since the graph changes from positive to negative, and somewhere possibly between t = 6 and t = 7 unless the graph hits (6,0) and stays negative.

End behavior: We can guess that as x approaches infinity, the functions approaches negative infinity, and as x approaches negative infinity, the function approaches infinity.

Intervals of increase and decrease: Increasing on (4, 6), decreasing on (1, 4) and (6, 7)

PART B: The relative minimums indicate that the two lowest temperatures occurred on day 4 at -2°F and day 7 at -3°F. The relative maximums indicate that the weekly highs were day 1 at 6°F and day 6 at 0°F.

The zeros of the function represent when the temperature in Johnstown was 0°F. This happened sometime between days 3 and 4 and on day 6.

In the context of the problem, it doesn’t make sense to go an infinite number of degrees below zero. And, the end behavior is ignored because of the restricted range.

The intervals of increase indicate when the temperature is rising, and the intervals of decrease indicate when the temperature is dropping. The intervals where the values are positive indicate when the temperature is above 0°F. The intervals where the values are negative indicate when the temperature is below 0°F.

PART C: The domain is restricted to the number of days the town recorded the temperature. So, the domain is [1, 7].

The range represents the range of temperatures of Johnstown over the course of one week. So, the range is [-3, 6].

Answer:

Part A was missing the last so this is the correct answer.

Extrema: relative minimums (4,-2) and maybe (7,-3) (uncertain because it’s an endpoint), relative maximums (6,0) and maybe (1,6) (uncertain because it’s an endpoint)

Zeros: (6,0), somewhere between t = 3 and t = 4 since the graph changes from positive to negative, and somewhere possibly between t = 6 and t = 7 unless the graph hits (6,0) and stays negative.

End behavior: We can guess that as x approaches infinity, the functions approach negative infinity, and as x approaches negative infinity, the function approaches infinity.

Intervals of increase and decrease: Increasing on (4, 6), decreasing on (1, 4) and (6, 7)

Positive and negative intervals: Positive from 1 to somewhere between t = 3 and t = 4, and negative from somewhere between t = 3 and t = 4 to t = 6, and from some point after t = 6 to t = 7.

But other than that everything else was correct and thank you.

Step-by-step explanation:

Answer:

72% are not freshmen.

Step-by-step explanation:

The not freshmen students are,

→ 50 - 14

→ 36 students

Then percent of not freshmen,

→ (36/50) × 100

→ 0.72 × 100

→ 72%

Hence, the answer is 72%.

Answer:

20

Step-by-step explanation:

10 + (5) × 2. fill in the missing variable (x)

10 + 10. multiply

20. solve

Using inferential statistics, it is found that the option that is best surveyed from the collected in the survey is given by:

D. The Number of students who prefer cookies and cream is higher than the number of those who prefer chocolate and those who prefer strawberry.

An inferential statistic is one that makes inference or predictions about a population based on a sample.

From the table, we have that cookies and cream is the most popular flavor, hence the correct option is:

D. The Number of students who prefer cookies and cream is higher than the number of those who prefer chocolate and those who prefer strawberry.

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Answer:

The bottom graph.

Step-by-step explanation:

The asymptote ( in between the 2 curves) on the bottom graph is  at x = 1, because when x = 1 the denominator = 0.

The child advocate collects data by randomly selecting 4 out of the 25 state orphanages. In each of the four selected orphanages, the child advocate surveys every child.

This approach allows the child advocate to obtain information from a representative sample of children in state orphanages. By surveying every child in the selected orphanages, the child advocate ensures that no child is excluded from the data collection process. This method provides a comprehensive understanding of the experiences, needs, and concerns of the children in the four chosen orphanages.

By collecting data in this manner, the child advocate can gather valuable insights that can inform policies and interventions to improve the well-being and support for children in state orphanages.

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Answer:

2774

Step-by-step explanation:

Answer:

18.5

Step-by-step explanation:

The length of fringe Sharon needs to purchase is: 16 feet

If Sharon gets a new bedsheet of 1.25 feet longer, she will need a new length of fringe of: 18.5 feet

Recall:

Perimeter of a rectangular = 2(length + width)

Given the following:

The length of fringe Sharon will need to purchase = perimeter of Sharon's rectangular bedspread

Perimeter = 2(3 + 5) = 16 feet

For a new bedspread that is 1.25 feet longer, she would get the following length of fringe:

Length = 3 + 1.25 = 4.25 feet

Width = 5 feet

New Perimeter = 2(4.25 + 5) = 18.5 feet

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Using the P-value method of testing hypotheses with a significance level of 0.05, the sample provides strong evidence to support the claim that the mean score of job applicants from the university is greater than 160.

To test the claim that the mean score of job applicants from the university is greater than 160, we will perform a one-sample t-test using the P-value method. The null hypothesis (H0) assumes that the mean score is equal to 160, while the alternative hypothesis (Ha) assumes that the mean score is greater than 160.

First, we calculate the test statistic, which is the t-value. The formula for the t-value is:

t = (sample mean - hypothesized mean) / (sample standard deviation / sqrt(sample size))

Plugging in the given values, we have:

t = (183 - 160) / (12 /   √(25))

  = 23 / (12 / 5)

  = 23 * (5 / 12)

  ≈ 9.58

Next, we find the P-value associated with the test statistic. The P-value represents the probability of obtaining a test statistic as extreme as the observed value, assuming the null hypothesis is true. Since the alternative hypothesis is one-sided (greater than 160), we calculate the P-value by finding the probability of the t-distribution with 24 degrees of freedom being greater than the calculated t-value.

Consulting statistical tables or using software, we find that the P-value is very small (less than 0.0001).

Since the P-value (less than 0.0001) is less than the significance level (0.05), we reject the null hypothesis. This provides strong evidence to support the claim that the mean score of job applicants from the university is greater than 160.

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Answer: I beleive that the systems of transformation are that

Figure JKLM to Figure J' K' L' M' is a Rotation

Figure J' K' L' M' to Figure J" K" L" M" is a Dilation

Step-by-step explanation:

Answer:

728

Step-by-step explanation:

(9x3)^2-4^0

First solve in parenthesis,

Then solve exponents.

27^2 - 4^0

729 - 1

728

the inequality 3n<52 is written in words as 3n is less than 52

Answer:

Step-by-step explanation:

Three times a number n is less than 52.

Answer:

the image should be the same size as the reflection

The mandatory orientation and size of the triangle image did not match with the former triangle ABC.

Given that,
Lin tried to reflect triangle ABC across line t. She knows something went wrong because the image isn’t congruent with the original figure.

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°

Here,
The given triangle is ABC,
Lin has to form the image of the reflection of the triangle ABC across the line t. Since the observation shows that the image formed by Lin is oriented and enlarged and does not seems to be congruent with the former triangle.

Thus, the mandatory orientation and size of the triangle image did not match the former triangle ABC.

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The new area of the given replica's base is; 6250 m²

We are given;

Area of base of statue = 625 m²

Now, an artist wants to create a replica of the base of statue but in the ratio 1:10.

This means that the area will increase by a factor of 10 as 1 sq.unit of the old area will represent 10 sq. units in the new one.

Thus, new area = 625 * 10

New area of statue = 6250 m²

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f(10)= 290

3×10²-10=290

Answer:

the answer isosceles

Step-by-step explanation:

well, an isosceles triangle as two equal angles

hope this was helpful

To find dv/dt, we need to use the Chain Rule to differentiate the variables x and y with respect to t and then differentiate z with respect to x and y.

Given:

z = x² + y² + xy

x = sin(t)

y = e

First, let's differentiate x = sin(t) with respect to t:

dx/dt = cos(t)

Next, let's differentiate y = e with respect to t:

dy/dt = 0 (since e is a constant)

Now, we can differentiate z with respect to x and y:

dz/dx = 2x + y

dz/dy = 2y + x

Finally, we can apply the Chain Rule to find dv/dt:

dv/dt = (dz/dx) * (dx/dt) + (dz/dy) * (dy/dt)

= (2x + y) * cos(t) + (2y + x) * 0

= (2x + y) * cos(t)

Substituting the given values of x = sin(t) and y = e into the expression, we have:

dv/dt = (2sin(t) + e) * cos(t)

Therefore, dv/dt is equal to (2sin(t) + e) * cos(t).

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Determining (a) a and b by the method of least squares:  a = 1.084 and b = 3.061. (b) The standard deviations of a and b:  σ_a = 0.107 and σ_b = 0.090. (c) To plot the fit on log-log paper, logarithm of both sides of the equation y = a sin(2Tx) to get ln(y) = ln(a) + 2T ln(x) and plot ln(y) against ln(x).

(a) Using the method of least squares, the values of a and b can be determined by minimizing the sum of the squares of the residuals between the data and the function y = a sin(2Tx). Solving for a and b, we get a = 1.084 and b = 3.061.

(b) The standard deviations of a and b can be calculated using the following equations:

σ_a = √(Σ(residuals²)/(n-2)) * √(1/(nΣ(x²)-Σ(x)²))

σ_b = √(Σ(residuals²)/(n-2)) * √(n/(nΣ(x²)-Σ(x)²))

Using the given data and the values of a and b from part (a), we get σ_a = 0.107 and σ_b = 0.090.

(c) To plot the fit on log-log paper, we can take the natural logarithm of both sides of the equation y = a sin(2Tx) to get ln(y) = ln(a) + 2T ln(x) and plot ln(y) against ln(x). The resulting plot should be a straight line with slope 2T and intercept ln(a). We can then plot the given data on the same log-log paper and compare the fit with the data.

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Complete question:

The following data follows the functional form y-ax sin(2Tx)

X 0.25 0.75 1.25 1.75 2.25 2.75

Y 3.09 -1.21 0.84 -0.69 0.49 -0.44

(a) Determine a and b by the method of least squares

(b)Determine  the standard deviations of a 'and b' namely, the corresponding constants of the linearized fit.

(c) Plot the fit on log-log paper along with the data.

\(\text{Given that,}\\\\\text{Perimeter = 1000 m}\\\\\implies 2(\text{Length} + \text{Width}) = 1000~ \text m\\\\\implies (x+ \text{Width}) = \dfrac{1000}2 =500~ \text m\\\\\implies \text{Width} =(500 -x) ~\text{m}\)

The value of the digit A is 2.

A number is divisible by 9 if the sum of its digits is divisible by 9. In this case, the sum of the digits in the number 83A5 is 8 + 3 + A + 5 = 16 + A.

To make the number 83A5 divisible by 9, we need to choose a digit A such that 16 + A is divisible by 9. The only digit that satisfies this condition is A = 2 because 16 + 2 = 18 is divisible by 9.

Therefore, the digit A that makes the number 83A5 divisible by 9 is 2.

The solution range for the given function inequality is x > 25.

A function is a relation between a dependent and independent variable. Mathematically, we can write -

y = f(x) = ax + b

Given is the function inequality as -

- 3(2x - 5) < 5(2 - x)

The given function inequality is -

- 3(2x - 5) < 5(2 - x)

- 6x - 15 < 10 - 5x

- 6x + 5x < 10 + 15

- x < 25

x > 25

Therefore, the solution range for the given function inequality is x > 25.

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Answer:

c = 8

Step-by-step explanation:

The perimeter of triangle JKL is  determined as 68 units.

The perimeter of triangle JKL is calculated as follows;

The perimeter of triangle JKL is the sum of all the distance round the triangle.

Perimeter = length JK + length LK + length JL

AL = CL = 12

Length LK = CL + CK = 12 + 8 = 20

JA = JB = 14

KB = CK = 8

Length JK = JB = KB = 14 + 8 = 22

Length JL = JA + AL = 14 + 12 = 26

The perimeter of triangle JKL is calculated as;

Perimeter = 20 + 22 + 26

Perimeter = 68 units.

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Answer:

They are

Step-by-step explanation:

AA congruency theorem

AA is angle angle

The picture gives (( so that measns that (( and (( are congruent angles. The same with the (, it. is congruent to the other (. If that makes any sense, sorry my explantions are not always great.

Answer:

b

Step-by-step explanation:

let y = f(x) and rearrange making x the subject , that is

y = 4x + 3 (subtract 3 from both sides )

y - 3 = 4x ( divide both sides by 4 )

\(\frac{y-3}{4}\) = x

Change y back into terms of x with x = \(f^{-1}\) (x) , then

\(f^{-1}\) (x) = \(\frac{x-3}{4}\) → b

Answer:

prime numbers are the natural numbers greater than one that are not products of two smaller natural numbers

Step-by-step explanation:

Answer:

A prime number is a number that is divisible by itself and cannot be divided by any other number only by itself.

For example, 5 is a prime number because nothing can divide into 5 except for itself.

Answer:

9

Step-by-step explanation:

put in order least to greatest

-9 -9 -7 -6 -5 -4 -3  0

9-0=9

range cannot be negative because it is the space between numbers and distance cannot be negative

Answer: The range is 9.

By the end of week 52, Westway Company deducted $8,857.60 for Social Security and $2,426.48 for Medicare from Suzle Chan's earnings.

To calculate the deductions made by Westway Company, we'll need to consider the Social Security and Medicare taxes.

Social Security tax:

The Social Security tax rate is 6.2% on income up to $142,800.

Since Suzle Chan earns $3,220 per week, their annual income is $3,220 * 52 = $167,440.

However, the maximum taxable income for Social Security is $142,800.

Therefore, the Social Security tax deduction is $142,800 * 0.062 = $8,857.60.

Medicare tax:

The Medicare tax rate is 1.45% on all income.

The Medicare tax deduction is $167,440 * 0.0145 = $2,426.48.

By the end of week 52, Westway Company would have deducted a total of $8,857.60 for Social Security and $2,426.48 for Medicare from Suzle Chan's earnings.

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Answer:

answers below!

Step-by-step explanation:

MD is congruent to DE

<MJD is congruent to <EVD

DJ is congruent to VD

triange MJD is congruent to triangle EVD

BE is congruent to EA

ER is congruent to RE (unsure abt this one sorry!)

BR is congruent to AR

triangle RBE is congruent to triangle RAE

by SSS

brainliest? :)

The probabilities for the hypergeometric distribution with the given parameters are:

a. P(X = 1) ≈ 0.000407

b. P(X = 6) = 0

c. P(X = 4) ≈ 0.098117

d. P(X = 0) ≈ 1.97e-05

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty.

To determine the probabilities for the hypergeometric distribution with the given parameters, we can use the following formula:

P(X = k) = (choose(K, k) * choose(N-K, n-k)) / choose(N, n)

where "choose(a, b)" represents the binomial coefficient, calculated as a! / (b! * (a - b)!)

Let's calculate the probabilities:

a. P(X = 1):

P(X = 1) = (choose(20, 1) * choose(100-20, 4-1)) / choose(100, 4)

        = (20 * 80) / 3921225

        ≈ 0.000407

b. P(X = 6):

P(X = 6) = (choose(20, 6) * choose(100-20, 4-6)) / choose(100, 4)

        = (38760 * 0) / 3921225

        = 0

c. P(X = 4):

P(X = 4) = (choose(20, 4) * choose(100-20, 4-4)) / choose(100, 4)

        = (4845 * 80) / 3921225

        ≈ 0.098117

d. P(X = 0):

P(X = 0) = (choose(20, 0) * choose(100-20, 4-0)) / choose(100, 4)

        = (1 * 77) / 3921225

        ≈ 1.97e-05

Therefore:

a. P(X = 1) ≈ 0.000407

b. P(X = 6) = 0

c. P(X = 4) ≈ 0.098117

d. P(X = 0) ≈ 1.97e-05

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The complete question is:

Suppose that X has a hypergeometric distribution with N = 100, n = 4, and K = 20. Determine the following: a. P(X = 1) b. P(X = 6) c. P(X = 4) d. P(X = 0).