Anthony works at a clothing store and gets a 15% employee discount.If he purchase p pants and s shirts his total can be found using the expression c=0.85 (35p+14.50s).What is the total cost for Anthony if he purchased 4 pairs of pants and 6 shirts.​

Answer:

15 Miles/Gallon

Step-by-step explanation:

\(M/G\\\frac{1}{5} /\frac{1}{75}\\\frac{1}{5} *\frac{75}{1}\\\frac{1}{1}*\frac{15}{1} (75/5=15, cancels)\\1*15\\15\)

To find the area of the region interior to r = 9 + 7sin(θ) below the polar axis, we can integrate the function from the lower bound of θ to the upper bound of θ and take the absolute value of the integral.

To find the area of the region formed by two petals of r = 8sin(3θ), we can integrate the function over the appropriate range of θ and take the absolute value of the integral. To find dy/dx for the given parametric equations x = t^(1/3) and y = 3 - t, we differentiate y with respect to t and x with respect to t and then divide dy/dt by dx/dt.

To find the area of the region interior to r = 9 + 7sin(θ) below the polar axis, we need to evaluate the integral ∫[lower bound to upper bound] |1/2 * r^2 * dθ|. In this case, the lower bound and upper bound of θ will depend on the range of values where the function is below the polar axis. By integrating the expression, we can find the area of the region. To find the area of the region formed by two petals of r = 8sin(3θ), we need to evaluate the integral ∫[lower bound to upper bound] |1/2 * r^2 * dθ|.

The lower bound and upper bound of θ will depend on the range of values where the function forms the desired shape. By integrating the expression, we can calculate the area of the region. To find dy/dx for the parametric equations x = t^(1/3) and y = 3 - t, we differentiate both equations with respect to t. Taking the derivative of y with respect to t gives dy/dt = -1, and differentiating x with respect to t gives dx/dt = (1/3) * t^(-2/3). Finally, we can find dy/dx by dividing dy/dt by dx/dt, resulting in dy/dx = -3 * t^(2/3).

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To find the absolute maximum and absolute minimum of a function using the closed interval method.

Determine the function, f(x), and the closed interval [a, b].
Calculate the critical points of the function by finding the derivative, f'(x), and setting it equal to zero.

Solve for x to find the critical points.

Keep in mind that only the critical points within the closed interval are relevant to this problem.
Evaluate the function, f(x), at the critical points and the endpoints of the closed interval, a and b.
Compare the function values obtained in step 3.

The highest value corresponds to the absolute maximum, and the lowest value corresponds to the absolute minimum.
Identify the points (x, f(x)) corresponding to the absolute maximum and absolute minimum.

These points represent the locations and values of the absolute maximum and absolute minimum on the given closed interval.

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Answer:

a and b

Step-by-step explanation:

The length of the string needed is 65 meters

An equation is an expression that shows how numbers and variables using mathematical operators.

Pythagoras theorem shows the relationship between the sides of a right angle triangle.

To find the length of string, Mia needs. A triangle is formed with hypotenuse (l) represent the length of string. The height of the kite (h) = 33 m which is the triangle height; while the 56 m is the base of the triangle (b). Hence:

l² = b² + h²

l² = 33² + 56²

l = 65 meters

The length of the string needed is 65 meters

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When we differentiate the function y = f(x) with respect to x, we obtain dy/dx = 10x - 6. The differential of the function is then expressed as dy = (10x - 6)dx.

Let's go through the steps in more detail:

Start with the equation y = f(x).

To find the differential, we differentiate both sides of the equation with respect to x, which gives us dy/dx on the left side and d/dx (5x^2 - 6x) on the right side.

Applying the power rule of differentiation, the derivative of 5x^2 with respect to x is 10x. The derivative of -6x with respect to x is -6.

Combining these derivatives, we get dy/dx = 10x - 6.

The differential of the function is represented as dy = (10x - 6)dx, where dx represents a small change in the x-value and dy represents the corresponding small change in the y-value.

In summary, when we differentiate the function y = f(x) with respect to x, we obtain dy/dx = 10x - 6. The differential of the function is then expressed as dy = (10x - 6)dx.

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Answer:

4000 + .06x ≥ 7000

Step-by-step explanation:

The average speed of the car was 88 km/h.

To find the average speed of a car, we need to use the formula `average speed = total distance ÷ total time`.In this case, the car traveled a total distance of 198 km and it took 2 hours and 15 minutes to travel that distance. We need to convert the time to hours.1 hour = 60 minutes, so 2 hours 15 minutes = 2 + 15/60 hours = 2.25 hours .

Now we can use the formula to find the average speed of the car:average speed = total distance ÷ total time average speed = 198 km ÷ 2.25 hours average speed = 88 km/h Therefore, the average speed of the car was 88 km/h.

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Answer: the probability of being offered both jobs is 0.05, or 5%

Step-by-step explanation:

To solve this problem, we can use the formula:

P(A or B) = P(A) + P(B) - P(A and B)

where P(A or B) is the probability of getting at least one job offer, P(A) is the probability of getting an offer for job A, P(B) is the probability of getting an offer for job B, and P(A and B) is the probability of getting an offer for both jobs.

Substituting the given values, we get:

0.40 = 0.25 + 0.20 - P(A and B)

Solving for P(A and B), we get:

P(A and B) = 0.25 + 0.20 - 0.40 = 0.05

Therefore, the probability of being offered both jobs is 0.05, or 5% (rounded to two decimal places).

Answer: B to the 5 power

Step-by-step explanation: hope this helps :)

Answer:

Step-by-step explanation:

Given

b³·b²

=\(b^{3+2} \\\)

=\(b^{5}\)

hope it helps :)

It can be deduced that the addition of -3 and 4 will be 1.

It can be deduced that the addition of -3 and 4 will be;

= -3 + 4

= 1

When the winning score in golf is the lowest number, the lowest number is -1.

The value of the expression -273 - (-576) will be:

= -273 - (-576)

= -273 + 576

= 303

Also, -56/4 = -14. The value of the expression (2 - 19) + (-12) will be:

= (2 - 19) + (-12)

= -17 - 12

= -29

The value of -2x = 22 will be:

-2x = 22

Divide both side by -2

-2x/-2 = 22/-2

x = -11

The value of 5 + 3x = -22 will be;

5 + 3x = -22

5x = - 22 - 5

3x = -27

x = -27/3 = -9

5(x + 3) = 35

5x + 15 = 35

5x = 35 - 15

5x = 20.

5x/5 = 20/5

x = 4

The median is the number in the middle when arranged in ascending or descending order. Therefore, the median will be 7.1

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Nevertheless, factοrizing  intο twο binοmials is nοt pοssible since  expressiοns is a quadratic equatiοn with nο factοrs οf the fοrm  where a, b, c, and d are cοnstants.

In mathematics, an expressiοn is a set οf numbers, variables, and mathematical οperatiοns (such as additiοn, subtractiοn, multiplicatiοn, divisiοn, expοnentiatiοn, and sο οn) that expresses a quantity οr value. Expressiοns might be simple, like "3 + 4", οr cοmplex, like "(3x² - 2) / (x + 1)". They may alsο include functiοns such as "sin(x)" οr "lοg(y)". Expressiοns can be evaluated by substituting values fοr the variables and carrying οut the mathematical οperatiοns in the given οrder. Fοr instance, if x = 2, the fοrmula "3x + 5" is 3(2) + 5 = 11. In mathematics, expressiοns are widely used tο explain real-wοrld situatiοns, build equatiοns, and simplify cοmplex mathematical issues.

cannοt be factοrized any further because it is already in its mοst basic fοrm.

Nevertheless, factοrizing  intο twο binοmials is nοt pοssible since  is a quadratic equatiοn with nο factοrs οf the fοrm  where a, b, c, and d are cοnstants.

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Complete Question;

Factorise 3x squared  intο twο binοmials.

The dimensions of the base would be: base: 12 cm ; height : 8 cm

The correct answer is an option (D)

We know that the formula for the volume of a pyramid is:

V = 1/3 × B × h

where B is the base area of the pyramid

h is the height of the pyramid

The shape of the box is a triangular pyramid.

Each box contains 240 cubic centimeters of confetti.

this means, the volume of the box is V = 240 cubic centimeters

Using above formula of the volume of a pyramid,

V = 1/3 × B × h

here V = 240 cubic centimeters and h = 15 centimeters

240 = 1/3 × B × 15

240 = B × 5

B = 240/5

B = 48 square centimeters

The dimensions of the base must be such that the area of the base would be  48 square centimeters.

Here, a pyramid has triangular base.

Using the formula for the area of triangle,

B = 1/2 × base of triangle × height of triangle

48 = 1/2 × base of triangle × height of triangle

base of triangle × height of triangle = 96

for the dimensions Base, 12 cm; height, 8 cm

12 × 8 = 96

Thus, the dimension of the base: base of triangle = 12 cm and the height of triangle = 8 cm

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The two options to define increase in subscribers per amount of content is:

1)A Number of new subscribers divided by number of writers

2)Number of new subscribers divided by number of posts

Based on the fact that charlotte has launched two new websites and want to understand how to measure the increase in subscribers per amount of content.

The four options given to us are:

(Choice A) Number of new subscribers divided by number of writers (Choice B) Number of new subscribers divided by number of likes (Choice C) Number of new subscribers divided by number of posts (Choice D) Number of new subscribers divided by number of words

The only two choices which quantify content are number of writers and number of post. Hence A and C are the correct options.

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The complete question is given below:

Charlotte owns two entertainment websites. Charlotte wants to know which website gains more new subscribers per amount of content. Charlotte thought of two different ways to define this quantity. Identify these two definitions among the following options.

(Choice A)  Number of new subscribers divided by number of writers (Choice B)  Number of new subscribers divided by number of likes (Choice C)  Number of new subscribers divided by number of posts (Choice D)  Number of new subscribers divided by number of words

Answer:

the number of dozen cookies donated altogether is \(7\frac{3}{4}\)

Step-by-step explanation:

Given that

The store donated 4 1 ÷ 2 dozen cookies

And, the another store donated 3 1 ÷ 4 dozen cookies

we need to find oyt the no of dozen cookies donated altogether is

\(= 4 \frac{1}{2} + 3 \frac{1}{4} \\\\= \frac{9}{2} + \frac{13}{4} \\\\= \frac{18 + 13}{4} \\\\= \frac{31}{4}\\\\= 7\frac{3}{4}\)

Hence, the number of dozen cookies donated altogether is \(7\frac{3}{4}\)

A minimum sample size of 1069 is required to estimate the proportion of elementary, middle, and high school teachers who contributed to a candidate during a recent election cycle such that the margin of error is no more than 0.03 for a 95 percent confidence interval.

In order to estimate the proportion of elementary, middle, and high school teachers who contributed to a candidate during a recent election cycle, a researcher in campaign finance law wants to determine the minimum sample size such that the margin of error is no more than 0.03 for a 95 percent confidence interval.

Assuming that the researcher wants to establish a 95% confidence interval, the level of significance (α) is 1 - 0.95 = 0.05. Furthermore, we can assume that there is no prior knowledge of the population proportion, which is the proportion of elementary, middle, and high school teachers who contributed to a candidate during the election cycle. The standard deviation of a proportion is calculated using the following formula:

\(σ_p=√(p(1−p)/n)\)

Here, n is the sample size and p is the proportion of elementary, middle, and high school teachers who contributed to a candidate during the election cycle. Because there is no prior knowledge of p, it is assumed that the sample proportion, p-hat, is equal to 0.5.

Using these values, we can calculate the minimum sample size required for a margin of error of 0.03 for a 95 percent confidence interval.

α/2=0.025 can be determined by dividing the level of significance (α) by two. This will allow us to calculate the appropriate critical value. To calculate the critical value, we can look up the value of 0.025 in a standard normal distribution table.

Z_α/2=1.96 is the corresponding z-value for a 95% confidence interval.With the critical value, we can now calculate the minimum sample size using the formula below:

\(n = (Z^2) (p) (1 - p) / (E^2)\)

where, Z = critical valueα = level of significance (0.05)

E = margin of error (0.03)

p-hat = 0.5

The minimum sample size for a 95% confidence interval with a margin of error of 0.03 and no prior knowledge of the population proportion is as follows:

\(n = (1.96)^2 (0.5) (0.5) / (0.03)^2n = 1068.44444 ≈ 1069\)

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Answer:

C and D are are the true statements

A paired t-test was conducted to compare pre-course and post-course SAT scores of 12 individuals. The test statistic was t = 2.473, indicating a significant increase in scores. The p-value was 0.0294, confirming the statistical significance.

a) The test statistic for the hypothesis test is t = 2.473 (rounded to three decimal places).

b) The p-value for the hypothesis test is 0.0294 (rounded to four decimal places).

To calculate the test statistic and p-value, we need to perform a paired t-test on the given data. In a paired t-test, we compare the means of two related samples to determine if there is a significant difference between them.

First, we calculate the differences between the pre-course and post-course scores for each individual. Then we find the mean and standard deviation of these differences. Using these values, we can calculate the t-statistic and p-value.

Let's perform the calculations step by step:

1. Calculate the differences:

1200 - 1330 = -130

930 - 920 = 10

1090 - 1120 = -30

840 - 880 = -40

1100 - 1070 = 30

1250 - 1320 = -70

860 - 860 = 0

1330 - 1370 = -40

790 - 770 = 20

990 - 1040 = -50

1110 - 1200 = -90

740 - 850 = -110

2. Calculate the mean of the differences:

Mean = (-130 + 10 - 30 - 40 + 30 - 70 + 0 - 40 + 20 - 50 - 90 - 110) / 12 = -30

3. Calculate the standard deviation of the differences:

Standard Deviation = sqrt([(-130 - (-30))² + (10 - (-30))² + ... + (-110 - (-30))²] / (12 - 1))

                  = sqrt([10000 + 1600 + ... + 6400] / 11)

                  = sqrt(133636 / 11)

                  ≈ 36.460

4. Calculate the test statistic (t):

t = (Mean - 0) / (Standard Deviation / sqrt(n))

  = (-30 - 0) / (36.460 / sqrt(12))

  ≈ -2.473

5. Determine the degrees of freedom (df):

Since we have n = 12 individuals, the degrees of freedom are df = n - 1 = 11.

6. Calculate the p-value:

Using the t-distribution with 11 degrees of freedom and the test statistic t = -2.473, we find the p-value associated with it. The p-value turns out to be approximately 0.0294.

Therefore, the test statistic is t = 2.473, and the p-value is 0.0294.

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Answer:

answer is image

Step-by-step explanation:

b + d ≥ 9 this inequality states that the sum of hours babysitting, b, and hours walking dogs, d, must be greater than or equal to 9 in order for Ryan to meet his weekly work requirement.

What is inequality?

In mathematics, an inequality is a statement that compares two quantities, indicating whether they are equal or not, and in what direction they differ. An inequality is represented by one of the following symbols: < (less than), > (greater than), ≤ (less than or equal to), ≥ (greater than or equal to).

The inequality that represents the possible values for the number of hours babysitting, b, and the number of hours walking dogs, d, that Ryan can work in a given week is:

b + d ≥ 9

This inequality states that the sum of hours babysitting, b, and hours walking dogs, d, must be greater than or equal to 9 in order for Ryan to meet his weekly work requirement.

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Answer:

15x+30y-220

Step-by-step explanation:

\(30(\frac{1}{2}x-2)+40(\frac{3}{4} x-4 )\\\\(15x-60)+(30x-160)\\\\15x+30y-220\)

The final image will fit in a similar portfolio with an area of 160 square inches.

To obtain the area of a rectangle, you need to multiply its length by its width. The formula for the area of a rectangle is:

Area = Length x Width.

The dimensions for this problem are given as follows:

24 inches, 36 inches.

With the reduction with a scale factor of 1/3, the dimensions are given as follows:

8 inches,  12 inches.

With the enlargement by a factor of 1.25, the dimensions are given as follows:

10 inches and 15 inches.

Hence the area is given as follows:

15 x 10 = 150 square inches.

As the area of 150 square inches is less than 160 square inches, the final image will fit in a similar portfolio with an area of 160 square inches.

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Answer:

D

Step-by-step explanation:

hope it will help you that's all I can do

The shape of the distribution is normal

The probability is 0.7764

What is Standard Deviation?

The standard deviation is a measure of the spread or dispersion of a set of data around its mean. It is calculated by finding the square root of the variance, which is the average of the squared differences between each data point and the mean. It is used to quantify the degree of variability or diversity in the data.

(a)

The distribution of heights of young men follows a normal distribution with a mean of 69.3 inches and a standard deviation of 2.8 inches. The distribution of heights of young women also follows a normal distribution with a mean of 64.5 inches and a standard deviation of 2.5 inches.

The difference between the height of a randomly selected young man (m) and a randomly selected young woman (w) follows a normal distribution with a mean of 69.3 - 64.5 = 4.8 inches (the difference in the means) and a standard deviation of √(2.8² + 2.5²) = 3.67 inches (the square root of the sum of the variances).

The shape of the distribution of the difference between the heights of a randomly selected young man and a randomly selected young woman is also normal, since the original distributions are normal. The centre of the distribution is 4.8 inches, and the spread is 3.67 inches.

(b)

We need to find the probability that a randomly selected young man is at least 2 inches taller than a randomly selected young woman, or in other words, we need to find P(m - w > 2).

Using the formula for the difference of two normal distributions, we have:

z = (2 - 4.8) / 3.67 = -0.76

We need to find the probability that a standard normal variable Z is greater than -0.76. Using a standard normal table or calculator, we find that P(Z > -0.76) = 0.7764.

Therefore, the probability that a randomly selected young man is at least 2 inches taller than a randomly selected young woman is approximately 0.7764.

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Answer:

Given a figure that is broken into a rectangle and triangle.

The dimensions of the rectangle are:

Base : 5 ft

Height : 1/3 ft

The dimensions of the triangle are :

Base : 3 upon 2/3 ft

Height : 2 ft

The area of the figure calculated below :-

Area of rectangle + Area of triangle

Area of rectangle + Area of triangleLB + 1/2BH

(5×1/3) + (1/3+3upon2/3×2)

The result is simplified below :-

5/3+11/3

5+11/3

16/3 ft

51/3 ft square.

The area of the figure is 5 and one third square feet.

Answer:

5 1/3

Step-by-step explanation:

The coordinates of point D in the parallelogram ABCD are (15, 10).

To find the coordinates of point D, we can use the properties of a parallelogram. In a parallelogram, opposite sides are parallel and congruent. Therefore, we can use this information to determine the coordinates of point D.

Let's consider the given points:

A(-3, 5)

B(7, 12)

C(5, 3)

Since opposite sides of a parallelogram are parallel, the vector connecting points A and B should be equal to the vector connecting points C and D. We can express this as:

AB = CD

To find the vector AB, we subtract the coordinates of point A from the coordinates of point B:

AB = (7 - (-3), 12 - 5)

= (10, 7)

Now, we can express the vector CD using the coordinates of point C and the vector AB:

CD = (5, 3) + (10, 7)

= (15, 10)

Therefore, the coordinates of point D are (15, 10).

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The company should charge $4.00 per quart of ice cream to turn a 30% profit.

Given information:

Cost of container: $0.73 each

Cost of making ice cream per quart: $2.07

The total cost per quart includes the cost of the container and the cost of making the ice cream:

Total Cost per quart = Cost of container + Cost of making ice cream

Total Cost per quart = $0.73 + $2.07

Total Cost per quart = $2.80

The profit margin is the percentage of profit you want to earn on the cost:

Profit Margin = 30% = 0.30

The selling price per quart can be calculated using the following formula:

Selling Price per quart = Total Cost per quart / (1 - Profit Margin)

Selling Price per quart = $2.80 / (1 - 0.30)

Selling Price per quart = $2.80 / 0.70

Selling Price per quart = $4.00

Therefore, the company should charge $4.00 per quart of ice cream to turn a 30% profit.

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Answer:

first * can be any number greater than 6

second * can be any number larger than 16

Step-by-step explanation:

take each part alone:

multiply by 24 in both sides → * > 6

multiply by 4 in both sides → 1 > 16/*

take * to first side → * > 16

there is no specific answers you can go with 8 and 18

Answer:

Solve x/24>1/4 for x.

x>6

Solve 1/4>4/xfor x.

x<0 or x>16

Find the intersection of x>6 and x<0 or x>16 .

x>16

Step-by-step explanation: