A maintenance worker needs to wax a restaurant floor shaped like the image shown.

If the wax cost $1.38 a square foot, how much will the wax cost to cover the floor?

(A six-sided figure. There is a horizontal base of 35 feet then another horizontal base below it of 20 feet. The longest side is to the right and is 40 feet. The top is 30 feet. There is a perpendicular from the vertex of the top to the first base of 35 that is labeled 15 feet.)

The expected value of a lottery ticket is $0.13312. The expected value of a lottery ticket is the average amount that a player can expect to win or lose per ticket bought. To calculate the expected value, one multiplies each outcome by its probability and adds the results.

In this case, there are three possible outcomes: winning $1 billion, winning $10 million, or winning nothing. There are a total of 60 possible numbers for each of the 5 numbers, so there are 60^5 = 7,776,000,000 possible sequences that the lottery could choose. To calculate the probability of winning $1 billion, there is only one winning sequence, so the probability is 1/7,776,000,000. The expected value for winning $1 billion is therefore:
$1,000,000,000 × 1/7,776,000,000 = $0.128
To calculate the probability of winning $10 million, there are four winning sequences for the first four numbers, and 60 possibilities for the fifth number, so the probability is 4/7,776,000,000.

The expected value for winning $10 million is therefore:
$10,000,000 × 4/7,776,000,000 = $0.00512
To calculate the probability of winning nothing, there are 7,775,999,995 losing sequences out of 7,776,000,000 total sequences, so the probability is 7,775,999,995/7,776,000,000. The expected value for winning nothing is therefore:
$0 × 7,775,999,995/7,776,000,000 = $0
Adding these three expected values together gives the overall expected value of a lottery ticket:
$0.128 + $0.00512 + $0 = $0.13312

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Answer:

D

Step-by-step explanation:

In a function no X's can repeat which is what the vertical line test is. And in this case no X's repeat therefore, making it a function.

Answer:

D

Step-by-step explanation:

parabolas are functions

the graphed is a parabola

it passes the vertical line test.

Answer:

∠S = 105°

∠T = 95°

Step-by-step explanation:

Cyclic quadrilateral:

   Quadrilateral MNST is a cyclic quadrilateral. In cyclic quadrilateral, the opposite angles are supplementary.

     m∠S + m∠M = 180°

 3x + 2x +  5 = 180

        5x  + 5  = 180           {Combine like terms}

                 5x = 180 - 5     {Subtract 5 from both sides}

                 5x = 175

                    x = 175 ÷ 5  {Divide both sides by 5}

                    x = 35°

∠S = 3x

    = 3 * 35

    = 105°

∠T = 3x - 10

     = (3*35) - 10

     = 105 - 10

     = 95°

Answer:

\(|RS| = \sqrt[3]{19}\)

Step-by-step explanation:

The computation of the magnitude is shown below:

Data provided in the question

Given points

R(3,7,-1), S(10,-4,0)

Now the distance lies between R and S

RS = (10 ,-4, 0) - ( 3 ,7, -1 )

     = (10 - 3, -4 - 7, 0 - (- 1))

     = (7, - 11, 1 )

After that, the magnitude is determined by using the following calculation part

\(|RS| = \sqrt{(7)^2 + (-11)^2 + (1)^2} \\\\ = \sqrt{49 + 121 + 1} \\\\ = \sqrt{121}\\\\ = \sqrt[3]{19}\)

Answer:

  25

Step-by-step explanation:

You want the sum of the distinct prime divisors of the sum of the positive divisors of 500.

The prime factorization of 500 is ...

  500 = 2²·5³

so there are (2+1)(3+10 = 12 positive integer divisors:

  1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

The sum of these divisors is 1092.

The prime factorization of 1092 is ...

  1092 = 2²·3·7·13

so the sum of interest is ...

  2 +3 +7 +13 = 25

The sum of interest is 25.

Answer:

87p+34

Step-by-step explanation:

Using the distributive property, you have to distribute -7. -7(-6p)=42p. -7(8)=-56. Therefore your first half of the equation can be simplified to 42p-56. You will also have to distribute in the second half. 9(5p)= 45p. 9(10)=90. So your second half is 45p+90. Now to complete the problem, you must combine those two halves. So now your answer will be 42p-56+45p+90. Now you just need to combine like terms and you final answer will be 87p+34. Hope this helped!

approximately 97.5% of the sample will have values below 600.

The empirical rule states that about 68 % of the sample will be within one standard deviation of the mean, approximately 95 % will be within two standard deviations of the mean, and approximately 99.7 % will be within three standard deviations of the mean.

We must determine the z-score for a value of 600 using the following formula in order to determine the proportion of the sample that has values lower than 600.

z = (x - μ) / σ

If x is the value for which we wish to calculate the probability, is the sample mean, and is the sample standard deviation.

When we enter the values we have, we get:

z = (600 - 500) / 50 = 2

The number of 600 is therefore two standard deviations above the mean.

Approximately 95% of the sample will, under the empirical criterion, lie within two standard deviations of the mean. We can infer that since 600 is two standard deviations above the mean, 2.5% of the sample will have values above 600.

Therefore, approximately 97.5% of the sample will have values below 600.

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The direction of the cross product is perpendicular to both of the vectors being multiplied. So, the answer to the question of what is the direction of the cross product could be any of the six options provided (x direction, -x direction, y direction, -y direction, z direction, -z direction), depending on the orientation of the vectors being multiplied.

The direction of the cross product is determined by the right-hand rule. When you have two vectors, A and B, the cross product (A x B) will be perpendicular to both A and B in a third direction. To find this direction, point your fingers in the direction of vector A, and then curl them towards vector B. Your thumb will point in the direction of the cross product. The options you provided (x, -x, y, -y, z, -z) depend on the specific vectors you are working with. In general, the cross product direction will be in the z direction or -z direction for vectors lying in the xy plane.

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Answer:

The area of a circle with a diameter of 3 meters:

The area of a square with a side length of 3 meters:

The difference:

The square has greater area by 1.935 m²

Answer:

the difference in area between a circle with a diameter of 3 meters and a square with a side length of 3 meters=d²-π/4d²

=3²-3.14/4×3²=1.935m²

To convert rectangular to polar form, we first plot the rectangular form on the rectangular coordinate system and then using the Pythagorean theorem, we find the magnitude r of the complex number and then using the tangent function of the angle to the positive x-axis (θ) we find the angle θ of the complex number.

The first case is 12.61 miles, 30° north of east. 30° north of east is the angle that the vector makes with the positive x-axis, therefore the angle with the negative x-axis would be 360° - 30° = 330°.

To find the rectangular form, we will use

sin 30° = opposite/hypotenuse and cos 30° = adjacent/hypotenuse,  therefore y = 12.61 sin 30° and x = 12.61 cos 30°.

Using Pythagoras theorem, we get  

\(r = \sqrt{x^2+y^2} = 12.61\) miles and  θ \(= tan^{-1}(\frac{y}{x}) = tan^{-1}(0.5) = 26.57^o\).

Therefore, the answer in polar form is (12.61 miles, 26.57°).

The second case is 1.66 miles, 40° west of south. 40° west of south is the angle that the vector makes with the negative y-axis, therefore the angle with the positive y-axis would be 180° - 40° = 140°.

To find the rectangular form, we will use

sin 40° = opposite/hypotenuse and cos 40° = adjacent/hypotenuse,  therefore y = -1.66 cos 40° and x = 1.66 sin 40°.

Using Pythagoras theorem, we get  

\(r = \sqrt{x^2+y^2} = 1.96\) miles and θ \(= tan^{-1}(\frac{y}{x}) = tan^{-1}(2.33) = -56.88^o\) .

Therefore, the answer in polar form is (1.96 miles, -56.88°).

The third case is 5.53 miles, in the direction opposite of 15° south of east. In the opposite direction of 15° south of east, the angle that the vector makes with the positive x-axis would be 180° - 15° = 165°.

To find the rectangular form, we will use

sin 15° = opposite/hypotenuse and cos 15° = adjacent/hypotenuse,  therefore y = -5.53 sin 15° and x = 5.53 cos 15°.

Using Pythagoras theorem, we get  

\(r = \sqrt{x^2+y^2} = 5.53\) miles and θ \(= tan^{-1}(\frac{y}{x}) = tan^{-1}(-0.24) = -13.68^o\).

Therefore, the answer in polar form is (5.53 miles, -13.68°).

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Answer/Step-by-step explanation:

7. (3x⁴ + 5x² - 1) + (2x³ + x)

Distribute +1 to each term in the parentheses by your right.

3x⁴ + 5x² - 1 + 2x³ + x

Rewrite in standard form

3x⁴ + 2x¾ + 5x² + x - 1

8. (4x² + 7x - 4) + (x² - 7x + 14)

Distribute +1 to each term in the parentheses by your right.

4x² + 7x - 4 + x² - 7x + 14

Collect like terms and add together

4x² + x² + 7x - 7x - 4 + 14

5x² + 10

9. (2x³ + 6x² - 5x) + (x⁵ + 3x² + 8x + 4)

2x³ + 6x² - 5x + x⁵ + 3x² + 8x + 4

Collect like terms and add together

2x³ + 6x² + 3x² - 5x + 8x + x⁵ + 4

2x³ + 9x² + 3x + x⁵ + 4

Rewrite in standard form

x⁵ + 2x³ + 9x² + 3x + 4

10. (-6x⁵ - 2x + 13) + (4x⁵ + 3x² + x - 9)

-6x⁵ - 2x + 13 + 4x⁵ + 3x² + x - 9

Collect like terms

-6x⁵ + 4x⁵ - 2x + x + 13 - 9 + 3x²

Add like terms

-2x⁵ - x + 4 + 3x²

Rewrite in standard form

-2x⁵ + 3x² - x + 4

11. (5x² + 7x + 2) - (3x² + 6x + 2)

Distribute -1 to each term in the parentheses by your right.

5x² + 7x + 2 - 3x² - 6x - 2

Collect like terms

5x² - 3x² + 7x - 6x + 2 - 2

2x² + x

12. (10x⁴ + 2x² + 1) - (3x⁴ + 3x + 11)

Distribute -1 to each term in the parentheses by your right.

10x⁴ + 2x² + 1 - 3x⁴ - 3x - 11

Collect like terms

10x⁴ - 3x⁴ + 2x² + 1 - 11 - 3x

7x⁴ + 2x² - 10 - 3x

Rewrite in standard form

7x⁴ + 2x² - 3x - 10

13. (7x³ - 3x + 7) - (4x² - 3x - 11)

Distribute -1 to each term in the parentheses by your right.

7x³ - 3x + 7 - 4x² + 3x + 11

Collect like terms

7x³ - 3x + 3x + 7 + 11 - 4x²

7x³ + 18 - 4x²

Rewrite in standard form

7x³ - 4x² + 18

14. (x⁴ - 1) - (x⁴ + 1)

Distribute -1 to each term in the parentheses by your right.

x⁴ - 1 - x⁴ - 1

Collect like terms

x⁴ - x⁴ - 1 - 1

-2

Answer:

The slope is the change in y over the change in x.

Look at the g(x) and the x.  \(\frac{2 - (-4) }{0 - (-12)}\) = \(\frac{6}{12}\) = \(\frac{1}{2}\).  The slope is 1/2

The y intercept is when x is zero.  So the point (0,2) is the intercept.  We say that the y intercept is 2.  That is where the line will cross the y axis.

Step-by-step explanation:

Answer:

Step-by-step explanation:

A = {1, 3 , 5 , 7, 9 , 11 , 13 , 15 , 17 , 19}

B= { 0, 2 , 4 , 6 , 8 , 10, 12, 14, 16, 18 }

A - B means everything in A and not in B

A - B = { 1, 3 , 5 , 7 , 9 , 11 , 13, 15, 17 , 19 }

A ∩ B means elements common in A and B

A ∩ B = ∅

A - B ≠ A ∩ B

Answer:

Step-by-step explanation:

Student's t test for correlated groups reduces to Student's t test for single samples using difference scores. Therefore, the correct answer is (b).

In a t test for correlated groups (also known as paired-samples or dependent-samples t test), the same group of participants is measured twice, under two different conditions or at two different times. The difference between the two measurements for each participant is calculated and used as the sample data. The t test for correlated groups compares the mean difference score to zero to determine if there is a significant difference between the two conditions or times.

This can be seen as equivalent to a t test for single samples using difference scores, where the mean difference score is compared to a known or hypothesized value of the population mean difference. In fact, the formula for calculating the t statistic is the same in both cases.

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Answer:

20.25 per cup because 81÷4= 20.25 then

1) read the label=81 per 4-cups

2) 20.25x4=82 calories

Step-by-step explanation:

hope this helps :D

Answer:

To find your answer you would subtract $6.50 and $2.85 from $14.85

you would get $5.50 so that is how much she spent on a round trip ticket to the zoo.

Step-by-step explanation:

Answer:

Area = 640 sq. meters

Explanation:

5.

We are given the figure of a prism and we are to obtain its surface area

The prism has 5 faces: 2 triangular shaped faces of equal dimensions, 3 rectangular faces of different dimensions (2 out of these 3 have the same dimension while the third has a different dimension)

For the triangular-shaped face(s), its/their dimension is:

Height = 12 inches

Base = 5 inches

For the rectangular-shaped faces, their dimensions are:

Rectangle 1 & 2: Length = 20 inches, Width = 12 inches

Rectangle 3: Length = 20 inches, Width = 5 inches

The surface area of the prism is obtained by the sum of all the areas of the 5 faces itemized above. This is shown below:

The area of the prism is obtained thus:

Therefore, the area of the prism is 640 square meters

To determine the number of hours of bike use per dollar at Keller's Bike Rentals, we can calculate the reciprocal of the cost per hour. We cannot determine the exact value without accurate information.

(a) Let's assume the cost per hour is C dollars. The number of hours of bike use per dollar is given by 1/C. Therefore, if we want to find the number of hours of bike use per dollar, we need to compute 1/C. Since the cost per hour is not specified in the question, we cannot provide a specific value without that information.

(b) To find the number of minutes Latoya takes per mile, we can calculate the reciprocal of her running speed. Let's assume her running speed is S miles per minute. The number of minutes she takes per mile is given by 1/S. Therefore, if we want to find the number of minutes per mile, we need to compute 1/S. Since Latoya's running speed is not provided in the question, we cannot determine the exact value without that information.

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Answer:

x-y=3-1=2

Step-by-step explanation:

\(8x-4y=20\)                            \(4x-8y=4\)

\(8x=20+4y\)                            \(4(\frac{20+4y}{8})-8y=4\)

 \(x=\frac{20+4y}{8}\)                                               \(\frac{80+16y}{8} -8y=4\)

 \(x=\frac{20+4}{8}\)                                                \(10+2y-8y=4\)

\(x=\frac{24}{8}\)                                                 \(10-6y=4\)

\(x=3\)                                                  \(-6y=4-10\)

                                                   \(-6y=-6\)

                                                    \(y=1\)

so x-y=3-1=2

Answer:

A) 52.5 inches²

Step-by-step explanation:

The equation for the area of a trapezoid is a=1/2h(b1+b2). This basically means that you take the height of the trapezoid, multiply it by the top base plus the bottom base and divide that by 2. When you do this, you take 8.5 plus 6.5, which equals 15, and multiply that by 7 to get 105. After you get this, you divide it by 2 to get 52.5 inches².

Answer A B C

Step-by-step explanation:

The circumference of a circle is given by $C = \pi d$, where $d$ is the diameter of the circle. In this case, the diameter of Annie's bicycle wheels is $20$ inches, so the circumference of each wheel is:

$C = \pi d = \pi (20\text{ in}) \approx 62.83 \text{ in}$

Since each wheel makes 3 full revolutions every second, the distance that Annie travels in one second is:

$distance = 2C \cdot \text{revolutions per second} = 2 \cdot 62.83 \text{ in} \cdot 3 \approx 377 \text{ in}$

Converting inches to feet, we get:

$distance = 377 \text{ in} \cdot \frac{1 \text{ ft}}{12 \text{ in}} \approx 31 \text{ ft}$

Rounding to the nearest foot, Annie travels approximately $\boxed{31}$ feet in one second.

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Answer:

0.22

Step-by-step explanation:

22x + 11 = 4x - 7

22x - 4x = -7 + 11

18x = 4

x = 4/18

x = 0.22

Please mark as brainliest.

Answer:

h = -3y + 2x

Step-by-step explanation:

Add 4x to both sides of the equation.

2h = −6y + 4x

Divide each term in 2h = −6y + 4x by 2 and simplify.

Divide each term in 2h = −6y + 4x by 2.

2h/2 = -6y/2 + 4x/2

Simplify the left side.

h = −6y/2 + 4x/2

Simplify the right side.
Simplify each term.
Cancel the common factor of −6 and 2.

h = -3y+2(2x)/2

Cancel the common factors.
Factor 2 out of 2.

h = -3y+2(2x)/2(1)
Cancel the common factor

h = -3y+2(2x)/2(1)
Rewrite the expression
h = -3y + 2x/1

Divide 2x by 1.
h = -3y + 2x

hopefully its right LOLZ

Answer:

  8.5 years

Step-by-step explanation:

You want to know the number of years until 18500 depreciates to 9100 at the rate of 8% per year.

The depreciation rate given as a percentage of current value tells you the depreciation is exponential. The formula will be ...

  value = (initial value) × (1 - (depreciation rate))^t

where the rate is "per year" and t is in years.

  value = 18500·(1 -0.08)^t

  9100 = 18500·0.92^t . . . . fill in the value of interest

  9100/18500 = 0.92^t . . . . divide by 18500

  log(91/185) = t·log(0.92) . . . . take logarithms

  t = log(91/185)/log(0.92) ≈ -0.3081/-0.03621 ≈ 8.509

It will be about 8.5 years until the value is $9100.

__

Additional comment

The graph shows the solution to ...

  18500·0.92^t -9100 = 0

We find it fairly easy to locate an x-intercept, so we wrote the equation in the forms that makes the x-intercept the solution.

Answer:

m = 10

Step-by-step explanation:

Answer:

Correct

Step-by-step explanation:

The only time it matters what order the points are in is when you are naming a ray. (In a ray you put the endpoint first and then the other point on the line)

Based on the above, the ice cream that was made at a rate of 0.2 hours per batch.

To know the rate at which the ice cream was made in hours per batch, one need to divide the total time taken by the number of batches produced.

So:

Rate (hours per batch) = Total time / Number of batches

Note that:

the total time taken = 7.6 hours,

the number of batches produced = 38.

Hence:

Rate (hours per batch) = 7.6 hours / 38 batches

= 0.2 hours per batch

Therefore, the ice cream that was made at a rate of 0.2 hours per batch.

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Answer:

50+25x

Step-by-step explanation:

I hope this helps :)