Tom, Sally, and Benny each have 8 markers.
How many markers do they have have in all ?​

Answer:

B: 15

Step-by-step explanation:

To answer this question, simply plug in the values according to each variable. So, because m = 3, plug the m next to 7 with 3, so then that means that 7 is now multiplied by 3. Then, plug in 2 into n because n = 2, so 3 is being multiplied to n. This is what we get:

7(3) - 3(2)

Now, multiply!

21 - 6

Finally, solve:

21 - 6 = 15

Therefore, the answer is:

B: 15

Hope this helps :)

SOLUTION

The slope is zero.

Approximately 17.65% of Ana's salary is withheld for taxes.

To calculate the percentage of Ana's salary that is withheld for taxes, we need to determine the amount of tax withheld and then express it as a percentage of her net salary.

Number of hours worked per week (H) = 25 hours

Hourly wage (W) = $10

Net salary (S) = $212.50

Calculate the total earnings before taxes:

Total earnings = Hours worked * Hourly wage

Total earnings = 25 hours * $10/hour

Total earnings = $250

Determine the amount of tax withheld:

Tax withheld = Total earnings - Net salary

Tax withheld = $250 - $212.50

Tax withheld = $37.50

Calculate the percentage of salary withheld for taxes:

Percentage withheld = (Tax withheld / Net salary) * 100

Percentage withheld = ($37.50 / $212.50) * 100

Percentage withheld ≈ 17.65%

Therefore, approximately 17.65% of Ana's salary is withheld for taxes.

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It is given that:

20% of the students earned an A in STA 2023.

12% of the students didn't bring their phones to class.

85% of the students who didn't bring their phones to class earned an A.

To answer the following questions, we assume whether all students took STA 2023 and brought their phones to class or not.

a) Let's assume that x% of the students earned an A and brought their phones to class. Then, since the remaining (100% - 12%) = 88% of students brought their phone to class but their grade is not specified, we can set up the following equation:

x% + 85% of 12% = 20%

x% + 0.102 = 0.20

x% = 0.098

Therefore, 9.8% of students earned an A and brought their phones to class.

b) Let's assume that y% of the students didn't earn an A and didn't bring their phones to class. Then, we can set up the following system of equations:

x% + y% = 100% - 12%

0.85*(12%) = y%

Solving for y, we get:

y% = 9.6%

Therefore, 9.6% of students didn't earn an A and didn't bring their phones to class.

STA 2023 is a course code used by some colleges and universities to refer to an introductory course in statistics. The course usually covers topics such as descriptive statistics, probability theory, statistical inference, hypothesis testing, and regression analysis. STA 2023 is often a required course for students majoring in fields such as social sciences, business, and health sciences, as well as for students pursuing degrees in mathematics or statistics. The specific content and level of difficulty of STA 2023 may vary depending on the institution and the instructor.

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Answer:

x = \((\frac{z-y}{5}) ^{2}\)

Step-by-step explanation:

5\(\sqrt{x}\) + y = z ( subtract y from both sides )

5\(\sqrt{x}\) = z - y ( divide both sides by 5 )

\(\sqrt{x}\) = \(\frac{z-y}{5}\) ( square both sides to clear the radical )

(\(\sqrt{x}\) )² = \((\frac{z-y}{5}) ^{2}\)

x = \((\frac{z-y}{5}) ^{2}\)

The area of the figure ABDECA, and the coordinates of the points on the quadrilateral are;

1. The area is about 15.16 units²

2. The coordinates of the points are;

(i) B(5, 8)

(ii) C(8.58, 4)

(ii) D(8,58, 1.21)

A quadrilateral is a four sided polygon.

1. The coordinate of the point C can be found as follows;

Let (x, y) represent the coordinates of the C, we get;

(x + 8)/2 = 5

x = 2 × 5 - 8 = 2

(y + 8)/2 = 6

y = 2 × 6 - 8 = 4

The coordinates ot the point C (2, 4)

The length of the segment BC = √((8 - 2)² + (8 - 4)²) = 2·√(13)

Length of the side AB = √((8 - 6)² + (8 - 11)²) = √(4 + 9) = √(13)

The area of the triangle ABC = (1/2) × 2·√(13) × √(13) = 13

CE is perpendicular to DE, let (a, b), represent the coordinates of the point E, therefore;

(4 - y)/(2 - x) = -(5 - x)/(6 - y)

y - 4 = (-4/7)(x - 2)

y - 6 = (7/4)(x - 5)

(-4/7)(x - 2) + 4 = (7/4)(x - 5) + 6

x = (17/5) = 3.4

y = (7/4)((17/5) - 5) + 6 = 3.2

The coordinates of the point E is (3.4, 3.2)

The length of the side DE = √((5 - 3.4)² + (6 - 3.2)²) = √(10.4)

Length of the side CE = √((3.2 - 2)² + (3.4 - 4)²) = √(1.8)

Area of the triangle ΔCDE = (1/2) × √(10.4) × √(1.8)

Area of the figure is therefore;

2. The equation of the line AB is; y - 6 = (1/3)·(x - (-1))

y - 6 = (1/3)·(x + 1)

y = (1/3)·(x + 1) + 6

The slope of the segment AE = (4 - 6)/(3 - (-1)) = -1/2

Slope of the segment BE = -1/(-1/2) = 2

Equation of BE is; y - 4 = 2·(x - 3)

y = 2·(x - 3) + 4 = (1/3)·(x + 1) + 6

Therefore, x = 5

y = (1/3)·(5 + 1) + 6 = 8

(ii) Area of the triangle EBC = 24 unit²

EB = (1/2) × √((5 - 3)² + (8 - 4)²) = √20

Therefore;

BC = 24/(√20) = 12/√5 = 12·√5/5 = √(28.8)

(x - 5)² + (y - 8)² = 28.8

y = 4, therefore;

(x - 5)² + (4 - 8)² = 28.8

(x - 5)² = 28.8 - (4 - 8)² = 12.8

x = √(12.8) + 5

(iii) The equation of the segment AD is; y - 4 = (-1/2)(x - 3)

x = √(12.8) + 5

Therefore;

y - 4 = (-1/2)((√(12.8) + 5) - 3)

y = (-1/2)((√(12.8) + 5) - 3) + 4 ≈ 1.21

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We can cοnclude that the scοre οf 88 is higher than the scοre οf 78.

Tο cοmpare the scοres οf 88 and 78, we need tο calculate their deviatiοn frοm the respective means and cοmpare them.

Fοr the first scοre οf 88 οn a test with a mean οf 70 and standard deviatiοn οf 9, the deviatiοn is:

(88 - 70) / 9 = 2

Fοr the secοnd scοre οf 78 οn a test with a mean οf 70 and standard deviatiοn οf ?, we dοn't have enοugh infοrmatiοn tο calculate the deviatiοn. Hοwever, we can still cοmpare the scοres based οn their relative pοsitiοn tο the mean.

Since the mean is the same fοr bοth tests, we can say that a scοre οf 88 is higher than the mean by 18 pοints, while a scοre οf 78 is lοwer than the mean by 2 pοints.

Therefοre, we can cοnclude that the scοre οf 88 is higher than the scοre οf 78.

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Answer:

Try this equation

Step-by-step explanation:

If we wish the rate, we can find it by

r = I / Pt

Here we have

r = 587.79/ (16000)(250/365) =

The annual simple interest rate is 5.8%

The given parameters are:

Convert days to years

Time = 230/365 years

The annual simple interest rate is calculated using:

I = PRT

This gives

587.79 = 16000 * R * 230/365

Solve for R

R = 0.058

Express as percentage

R = 5.8%

Hence, the annual simple interest rate is 5.8%

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Answer:

Answer c is the correct one

The absolute value parent function is typically denoted as f(x) = |x|.

None of the given options matches the absolute value parent function.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The absolute value parent function is typically denoted as f(x) = |x|. Therefore, none of the given options matches the absolute value parent function exactly.

f(x) = [x], represents the greatest integer function, also known as the floor function, which returns the largest integer less than or equal to x.

f(x) = 1/x, is a rational function, which has a horizontal asymptote at y=0 and a vertical asymptote at x=0.

f(x) = x, is a linear function, which has a constant slope of 1.

f(x) = (x-1), is a linear function with a slope of 1, but it is shifted to the right by 1 unit.

Therefore,

The absolute value parent function is f(x) = |x|.

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Answer: p:(–10, –12)

r:(8, 8) s:(2, –6)

Step-by-step explanation:

thats the answers

Answer:

The first choice (subtracting 18)

Step-by-step explanation:

In the other choice you would want to divide by 3 not multiply and in the one where they did divide it does not include the 18.

The solution to the inequality is t < 26. The correct solution is represented by option A.

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.

Given that inequality is 3t + 18 < 96. The inequality will be solved as below,

3t + 18 < 96

Subtract 18 from both sides of the inequality,

3t + 18- 18 < 96 - 18

3t < 78

Divide both sides by 3,

3t / 3 < 78 / 3

t < 26

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Answer:

40

Step-by-step explanation:

plugging in a and b will get us:

\(2^{2} + 6^{2} = c^{2}\)

4 + 36 = \(c^{2}\)

40 = \(c^{2}\)

c= \(\sqrt{40\\\)

The smallest positive debt that can be paid off using sticker trading is $7$ dollars.

To find the smallest positive debt that can be paid off using sticker trading, we need to consider the values of the stickers (in dollars) and find the smallest positive amount that can be reached through a combination of these values.

Given that a Harry Potter sticker is worth $49 and a Twilight sticker is worth $35, we can approach this problem using the concept of the greatest common divisor (GCD) of these two values.

The GCD of $49$ and $35$ is $7$. This means that any multiple of the GCD can be represented using these sticker values.

In other words, any positive multiple of $7$ dollars can be paid off using sticker trading.

Therefore, the smallest positive debt that can be paid off using sticker trading is $7$ dollars.

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Answer:

No

Step-by-step explanation:

These are the artists of each subject, not the general function of each genre.

Brainliest for

Part A:  For the -5.3, 1 it would be located in Quadrant Q because even though it just goes to -4 and 4 I can extend the grid in my head and that's how I was able to figure out.

Step-by-step explanation:

Answer:

66 elephants

Step-by-step explanation:

88 divided by 4= 22

Therefore, there are 22 giraffes.

88-22=66. Therefore, there are 66 elephants. Hope this helps, feel free to ask for a more in depth explanation!

Answer:A topic sentence is used to bring

to a paragraph.

Step-by-step explanation:

A topic sentence is used to bring

to a paragraph.

Answer:

\(P = 48 in\),\(A= 120in^2\)

Step-by-step explanation:

Again we can use Pythagorean theorem to find the missing side

x^2 + 15^2 = 17^2

x^2 + 225 = 289

Subtract 225 from both sides

x^2 = 64

Find the square root of both sides

√x^2 = √64

x = 8

So

l = 15in, w = 8in

P=2(15) + 2(8)

P = 30 + 18

P = 48 in

A= 15(8)

A= 120in^2

Answer:

subtract 75 out of 636.75 then once you get that answer divided it by 100 to get the percentage

We can integrate this S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx over the given interval (1.1 to 4.4) to find the surface area.

We can evaluate the integral using numerical methods or a calculator to find the final answer.

We have,

To find the surface area of the revolution about the x-axis of the function f(x) = 5√x over the interval (1.1 to 4.4), we can use the formula for the surface area of revolution:

S = ∫(a to b) 2πy√(1 + (f'(x))²) dx

In this case,

f(x) = 5√x, so f'(x) = (d/dx)(5√x) = 5/(2√x).

Let's calculate the surface area:

S = ∫(1.1 to 4.4) 2π(5√x)√(1 + (5/(2√x)²) dx

Simplifying the expression inside the integral:

S = ∫(1.1 to 4.4) x 2π(5√x)√(1 + 25/(4x)) dx

Next, we can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.

To find the surface area of revolution about the x-axis of the function

f(x) = 5√x over the interval (1.1 to 4.4), we need to evaluate the integral:

S = ∫(1.1 to 4.4) 2π(5√x)√(1 + 25/(4x)) dx

Let's calculate the integral:

S = 2π ∫(1.1 to 4.4) (5√x)√(1 + 25/(4x)) dx

To simplify the calculation, let's simplify the expression inside the integral first:

S = 2π ∫(1.1 to 4.4) (5√x)√((4x + 25)/(4x)) dx

Next, we can distribute the square root and simplify further:

S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx

Thus,

We can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.

We can evaluate the integral using numerical methods or a calculator to find the final answer.

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Answer:

16

Step-by-step explanation:

8x2

Answer:

y = x + 5

Step-by-step explanation:

Using the information provided we can create the following equation. Since every seed packet can grow 1 single flower we would need to multiply 1 by the number of seed packets (x), which simplified would be just x . Next we are told that Steve already has 5 flowers in his possession meaning we need to add this to the new flowers that he is growing to get the total number of flowers.

y = x + 5

Answer:

1/4

Step by step explanation:

Division only needs to take the ninth part of both which would be 9x4=36 and 9x1=9

Answer:

None

Step-by-step explanation:

Truly, I'm not sure what type of problem this is, but most people don't favor all the seasons. If there is more to the problem, I would be glad to help further.

Answer:

One possible way to estimate how many people out of 20 would say that they like all seasons is to use a simple random sample. A simple random sample is a subset of a population that is selected in such a way that every member of the population has an equal chance of being included. For example, one could use a random number generator to assign a number from 1 to 20 to each person in the population, and then select the first 20 numbers that appear. The sample would then consist of the people who have those numbers.

Using a simple random sample, one could ask each person in the sample whether they like all seasons or not, and then calculate the proportion of positive responses. This proportion is an estimate of the true proportion of people in the population who like all seasons. However, this estimate is not exact, and it may vary depending on the sample that is selected. To measure the uncertainty of the estimate, one could use a confidence interval. A confidence interval is a range of values that is likely to contain the true proportion with a certain level of confidence. For example, a 95% confidence interval means that if the sampling procedure was repeated many times, 95% of the intervals would contain the true proportion.

One way to construct a confidence interval for a proportion is to use the formula:

p ± z * sqrt(p * (1 - p) / n)

where p is the sample proportion, z is a critical value that depends on the level of confidence, and n is the sample size. For a 95% confidence interval, z is approximately 1.96. For example, if out of 20 people in the sample, 12 said that they like all seasons, then the sample proportion is 0.6, and the confidence interval is:

0.6 ± 1.96 * sqrt(0.6 * (1 - 0.6) / 20)

which simplifies to:

0.6 ± 0.22

or:

(0.38, 0.82)

This means that we are 95% confident that the true proportion of people who like all seasons in the population is between 0.38 and 0.82. Therefore, based on this sample and this confidence interval, we would expect between 8 and 16 people out of 20 to say that they like all seasons in the population.

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Answer:

distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

where (x1, y1) and (x2, y2) are the coordinates of the two endpoints.

In this case, (x1, y1) = (4.25, 6.25) and (x2, y2) = (22, 6.25).

Plugging these values into the distance formula, we get:

distance = sqrt((22 - 4.25)^2 + (6.25 - 6.25)^2)

= sqrt(17.75^2 + 0^2)

= sqrt(315.0625)

= 17.75

Therefore, the length of the line segment is 17.75 units.

Answer:

x = 4

Step-by-step explanation:

x = 7x + 4(2 - 8)

x = 7x + 4(-6)

-6x = -24

x = 4

a) the minimum number of hikers who could have walked between 6 miles and 17 miles is 9 as it lies in the common interval of 10 ≤ x ≤ 15.

b)  the maximum number of hikers who could have walked between 6 miles and 17 miles is 19.

When the derivative equals 0, rearrange the function using elementary algebraic principles to find the value for x. The x-coordinate of the function's vertex, which is where the maximum or lowest will occur, is provided in this answer. the solution back into the original function to determine the minimum or maximum.

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When a variable (or set of letters) in an algebraic statement is substituted, its numerical value is used instead. The expression's total value can then be calculated.

Using the given functions, we have:

\(f(x) = x^2 + 3\)

\(g(x) =\) \(\sqrt{(x-4)}\)

To find f(g(x)), we substitute g(x) for x in the expression for f(x):

\(f(g(x)) = (g(x))^2 + 3\)

= (\(\sqrt{(x-4))^2 + 3}\)

\(= (x-4) + 3\)

\(= x - 1\)

Therefore,\(f(g(x)) = x - 1.\)

To find g(f(x)), we substitute f(x) for x in the expression for g(x):

\(g(f(x)) =\) \(\sqrt{((f(x)) - 4)}\)

= \(\sqrt{((x^2 + 3) - 4)}\)

= \(\sqrt{(x^2 - 1)}\)

= |x|\(\sqrt{(x^2 - 1)}\)

Therefore,  \(g(f(x)) =\) |x|  \(\sqrt{(x^2 - 1)}\)

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The missing angles on the figure are as follows

The  missing angles ae solved as follows

v = y vertical angles theorem

Examining the figure shows that

v + 90 = 180 angle on a straight line

hence v = 180 - 90 = 90

so we can say that v = y = 90

Also, y + 38 + z = 180 angles in a triangle

90 + 38 + z = 180

z = 180 - 90 - 38

z = 52 degrees

furthermore, w = x base angle of isosceles triangle

w + x + v = 180

w + x + 90 = 180

w + x = 90

hence w = x = 45 degrees

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By using the given distances and directions, we have;

Part A: 1083.5 feet

Part B: 1921.37 feet

Part C: 58.05°

The distance between David and Lacey = 2000 feet

David's angle to the boat = 70°

Lacey's angle to the boat = 32°

Part A

The distance of the boat from David is found as follows;

Imaginary lines drawn from the boat to David and then to Lacey form a triangle.

In the triangle, let A = 70°

B = 32°

Therefore by the sum of angles in a triangle, we have;

C = 180° - (70° + 32°) = 78°

By using sine rule we have;

\( \frac{a}{sin(A)} = \frac{b}{sin( B )} = \frac{c}{sin(C)}\)

David's distance from the boat, b, is therefore;

\( \frac{b}{sin( 32 )} = \frac{2000}{sin(78)}\)

The angle subtended by the coastline, C, is therefore;

\( b = \frac{2000}{sin(78)} \times sin( 32 ) = 1083.5 \)

Part B

The distance between the boat and Lacey is found as follows;

\( \mathbf{ \frac{a}{sin( 70)} }= \frac{2000}{sin(78)}\)

\( a = \frac{2000}{sin(78)} \times sin( 70 ) = 1921.37 \)

Part C

When b = 1200 feet, we have;

Finding the vertical distance of the boat from the coastline, we have;

1083.5 × sin(70) = 1018.17

We have;

\( \frac{1200}{sin(90)} = \frac{1018.17}{sin( B' )} \)

\( {sin( B' )} = \frac{sin(90)}{1200} \times 1018.17 \)

The angle between the coastline and his view to the boat, B', is therefore;

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