The surface area of a cube may be found using the formula A=6s^2. What is the edge length of a cube with a surface area of 81 cm^2? Round your answer to the nearest tenth.

Answer:

120 m²

Step-by-step explanation:

We khow that the area of a triangle is the product of the lenght and the wight

let x be the width

so the lenght is 15

Answer:

  120 square meters

Step-by-step explanation:

The missing leg of the right triangle is found from the Pythagorean theorem:

  diagonal² = length² + width²

  length² = diagonal² -width²

  length = √(17² -8²) = √(289 -64) = √225 = 15

So, the rectangle is 8 m by 15 m and has an area that is ...

  A = LW = (15 m)(8 m) = 120 m²

Hacen falta las expresiones para poder responder a tu pregunta, estuve investigando y adjuntaré una imagen que hace referencia a tus preguntas, espero no equivocarme.

Si este es el caso, son 9 expresiones y el nombre de cada propiedad es:

1. Inverso aditivo (Sumar un número por su opuesto el resultado es 0)

2. Ley conmutativa (El orden de los factores no altera el producto)

3. Ley asociativa (Agrupar los términos sin alterar el resultado)

4. Ley de la identidad, (Sumar un número con 0 se obtiene el mismo número)

5. Ley distributiva (La misma respuesta cuando multiplicas un conjunto de números por otro número que cuando se hace cada multiplicación por separado)

6. Ley distributiva

7. Ley distributiva

8. Ley asociativa

9. Ley conmutativa

Answer:

25%

Step-by-step explanation:

George is 33[tex]\frac{1}{3}[/tex]% ([tex]\frac{100}{3}[/tex]%) richer than Pete. Let Pete's percentage of wealth be 100%.

Thus George percentage of wealth = 100% + [tex]\frac{100}{3}[/tex]%

                                                           = [tex]\frac{400}{3}[/tex]%

                                                           = 133[tex]\frac{1}{3}[/tex]%

Pete's percent poorer than George can be determined by;

                                                           = [tex](\frac{100}{3})[/tex] ÷ [tex](\frac{400}{3} )[/tex] × 100

                                                           = [tex](\frac{100}{3})[/tex] × [tex]\frac{3}{400}[/tex] ×100

                                                           = 0.25 × 100

                                                           = 25%

Pete is 25% poorer than George.

Answer:

work done is equal to 384279168 lb-ft

Step-by-step explanation:

The cylinder has a circular base of 7 ft.

The height of the cylinder is 200 ft

The weight density of water in the cylinder is 62.4 lb/ft^3

First, we find the volume of the water in the cylinder by finding the volume of this cylinder occupied by the water.

The volume of a cylinder is given as [tex]\pi r^{2} h[/tex]

where, r is the radius,

and h is the height of the cylinder.

the volume of the cylinder = [tex]3.142* 7^{2}*200[/tex] = 30791.6 ft^3

Since the weight density of water is 62.4 lb/ft^3, then, the weight of the water within the cylinder will be...

weight of water = 62.4 x 30791.6 = 1921395.84 lb

We know that the whole weight of the water will have to be pumped out over the height of cylindrical container. Also, we know that the work that will be done in moving this weight of water over this height will be the product of the weight of water, and the height over which it is pumped. Therefore...

The work done in pumping the water out of the container will be

==> (weight of water) x (height of cylinder) = 1921395.84 x 200

==> work done is equal to 384279168 lb-ft

The required work done will be "384279168 lb-ft".

Whenever a force pushes anything across distances, work is performed. This same energy transmitted, as well as work done, maybe determined by calculating the force through the kilometers moved throughout the direction of the applied force.

According to the question,

Circular base of cylinder = 7 ft

Height of cylinder = 200 ft

Weight density of water = 62.4 lb/ft³

The Volume of cylinder be:

= πr²h

By substituting the values,

= [tex]3.142\times (7)^2\times 200[/tex]

= [tex]3.142\times 49\times 200[/tex]

= [tex]30791.6[/tex] ft³

Now,

The weight of water be:

= [tex]62.4\times 30791.6[/tex]

= [tex]1921395.84[/tex] lb

hence,

The work done be:

= Water's weight × Cylinder's height

= [tex]1921395.84\times 200[/tex]

= [tex]384279168[/tex] lb-ft

Thus the above answer is right.

Find out more information about work done here:

https://brainly.com/question/25573309

we just have to use the Pythagoras theorem and then calculate the value of x and y.

Answer:

5n

Step-by-step explanation:

Think about it:

If Tommy has 4 friends (n = 4), then he will have to give 5 pencils to each person. The total number of pencils is 5 * n or 5 * 4 = 20.

Similarly, if Tommy has 0 friends (I can relate), then he will have to give 5 pencils to each of his imaginary friends. The total number of pencils he has to give out to his real friends is 5 * n or 5 * 0 = 0.

Answer:

Option B is the correct option.

Here,

Adjacent=15

Hypotenuse=17

Now,

[tex]cos \: theta = \frac{adjacent}{hypotenuse} \\ cos \: 28 = \frac{15}{17} [/tex]

Hope this helps..

Good luck on your assignment..

Answer:

B. 15/17

Step-by-step explanation:

(see attached graphic for reference)

Because we have a right triangle (i.e one of the internal angles is 90 degrees), we can use trigonometry to solve

from the diagram, we can see that

cos 28° = adjacent length / hypotenuse

we can also see that the length adjacent to 28° = 15 units and the hypotenuse is 17 units,

hence, substituting these values into the equation:

cos 28° = 15 / 17   (answer)

edit: typo

Answer:

Step-by-step explanation:

The domain is {-1, 2} (the domain has only two values).

The range is {-4, -3, 2} (the range contains three values)

Answer:

Use a graphing calc.

Step-by-step explanation:

Answer:

Betty should use T = 2.571 to construct the confidence interval

Step-by-step explanation:

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 6 - 1 = 5

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 5 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.571

Betty should use T = 2.571 to construct the confidence interval

Answer:

Experimental Study

Step-by-step explanation:

In an experimental study, the researchers involve always produce and intervention (in this case they were asked whether their tendency was to express or to hold in anger and other emotions. The degree of suppression of emotions was rated on a scale of 1 to 10) and study the effects taking measurements.

These studies are usually randomized ie subjects are group by chance.

As opposed to observation studies, where the researchers only measures what was observed, seen or hear without any intervention on their parts.

Answer:

X = 50

Step-by-step explanation:

(5x - 100) + (x - 20) = 180 (sum of angle on a straight line is = 180)

5x + x -100 -120 = 180

6x - 120 = 180

6x = 180 + 120

6x = 300

x = 300/6

x = 50

For y

3y + y + 140 = 180

4y = 180 -140

4y = 40

y = 40/4

y = 10

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

Professor Sanchez has been teaching Principles of Economics for over 25 years. He uses the following scale for grading. Grade Numerical Score Probability A 4 0.090 B 3 0.240 C 2 0.360 D 1 0.165 F 0 0.145

a. Convert the above probability distribution to a cumulative probability distribution. (Round your answers to 3 decimal places.)

b. What is the probability of earning at least a B in Professor Sanchez’s course? (Round your answer to 3 decimal places.)

c. What is the probability of passing Professor Sanchez’s course? (Round your answer to 3 decimal places.)

Answer:

a. Cumulative Probability Distribution

Grade             P(X ≤ x)

F                      0.145

D                     0.310

C                     0.670

B                     0.910

A                         1

b. P(at least B) = 0.330

c. P(pass) = 0.855

Step-by-step explanation:

Professor Sanchez has been teaching Principles of Economics for over 25 years.

He uses the following scale for grading.

Grade     Numerical Score      Probability

A                       4                            0.090

B                       3                            0.240

C                       2                            0.360

D                       1                            0.165

F                       0                            0.145

a. Convert the above probability distribution to a cumulative probability distribution. (Round your answers to 3 decimal places.)

The cumulative probability distribution is given by

Grade = F

P(X ≤ x) = 0.145

Grade = D

P(X ≤ x) = 0.145 + 0.165 = 0.310

Grade = C

P(X ≤ x) = 0.145 + 0.165 + 0.360 = 0.670

Grade = B

P(X ≤ x) = 0.145 + 0.165 + 0.360 + 0.240 = 0.910

Grade = A

P(X ≤ x) = 0.145 + 0.165 + 0.360 + 0.240 + 0.090 = 1

Cumulative Probability Distribution

Grade             P(X ≤ x)

F                      0.145

D                     0.310

C                     0.670

B                     0.910

A                         1

b. What is the probability of earning at least a B in Professor Sanchez’s course? (Round your answer to 3 decimal places.)

At least B means equal to B or greater than B grade.

P(at least B) = P(B) + P(A)

P(at least B) = 0.240 + 0.090

P(at least B) = 0.330

c. What is the probability of passing Professor Sanchez’s course? (Round your answer to 3 decimal places.)

Passing the course means getting a grade of A, B, C or D

P(pass) = P(A) + P(B) + P(C) + P(D)

P(pass) = 0.090 + 0.240 + 0.360 + 0.165

P(pass) = 0.855

Alternatively,

P(pass) = 1 - P(F)

P(pass) = 1 - 0.145

P(pass) = 0.855

Answer:C

Step-by-step explanation:

The vertical line test

Answer:

Option C

Step-by-step explanation:

The chi square test of independence is used to determine if there is a significant association between two categorical variables from a population.

It tests the claim that the row and column variables are independent of each other.

The degrees of freedom for the chi-square are calculated using the following formula: df = (r-1) (c-1) where r is the number of rows and c is the number of columns.

Answer:  k = -9

Step-by-step explanation:

kx² - 12x - 4 = 0

In order to have exactly one solution, it must be a perfect square.

Assume k is negative and factor out a negative 1.

-1(kx² + 12x + 4) = 0

[tex]\bigg(\sqrt{kx^2}+\sqrt4\bigg)^2=0\\\\[/tex]

The middle term = 12x [tex]= 2(\sqrt{kx^2})(\sqrt4)[/tex]

                               12x = 4x√k

                                3   = √k

                                9 = k

-1(9x² + 12x + 4) = 0

-9x² - 12x - 4 = 0

k=-9

Answer:

1/7 = 0.142857... repeating

Step-by-step explanation:

7^(-1) = 1/(7^1) =1/7 = 0.142857... repeating

Answer:

Solution,

[tex] {7}^{ - 1} \\ = \frac{1}{ {7}^{1} } \\ = \frac{1}{7} [/tex]

[tex] {x}^{0} = 1[/tex]

[tex] {x}^{m} \times {x}^{n} = {x}^{m + n} [/tex]

( powers are added in multiplication of same base)

[tex] {( {x}^{m} )}^{n} = {x}^{m \times n} [/tex]

[tex] {x}^{ - m} = \frac{1}{ {x}^{m} } [/tex]

[tex] {x}^{ \frac{p}{q} } = \sqrt[q]{ {x}^{p} } [/tex]

Hope this helps ....

Good luck on your assignment...

Answer:

D. The graph of g(x) is shifted 2 units down

Step-by-step explanation:

Since we are modifying b in f(x) = mx + b, we are dealing with vertical movement up and down. Since it is -2, we are moving down 2.

Answer:

a. Neither

b. Null hypothesis

c. Neither

d. Alternative hypothesis

Step-by-step explanation:

This hypothesis test wants to test the claim that, in households with a minimum-wage worker, mean household debt increases following a hike in the minimum wage.

Then, the alternative hypothesis, that reflects the claim, will state that the mean household debt significantly increases (under the previous descriptions).

The null hypothesis will state the opposite: that mean household debt does not signficantly increases in that conditions (it stays the same or decreases).

a. In households with a minimum-wage worker, mean household debt decreases following a hike in the minimum wage.  NEITHER.

b. In households with a minimum-wage worker, mean household debt decreases or stays the same following a hike in the minimum wage. NULL HYPOTHESIS.

c. In households with a minimum-wage worker, mean household debt is unaffected by a hike in the minimum wage.  NEITHER.

d. In households with a minimum-wage worker, mean household debt increases following a hike in the minimum wage. ALTERNATIVE HYPOTHESIS.

Answer:

The right Riemann sum is 21.5.

The left Riemann sum is 29.5.

Step-by-step explanation:

The right Riemann sum (also known as the right endpoint approximation) uses the right endpoints of a sub-interval:

[tex]\int_{a}^{b}f(x)dx\approx\Delta{x}\left(f(x_1)+f(x_2)+f(x_3)+...+f(x_{n-1})+f(x_{n})\right)[/tex], where [tex]\Delta{x}=\frac{b-a}{n}[/tex].

To find the Riemann sum for [tex]\int_{0}^{2}\left(2 x^{2} - 12 x + 22\right)\ dx[/tex] with 4 rectangles, using right endpoints you must:

We have that a = 0, b = 2, n = 4. Therefore, [tex]\Delta{x}=\frac{2-0}{4}=\frac{1}{2}[/tex].

Divide the interval [0,2] into n = 4 sub-intervals of length [tex]\Delta{x}=\frac{1}{2}[/tex]:

[tex]\left[0, \frac{1}{2}\right], \left[\frac{1}{2}, 1\right], \left[1, \frac{3}{2}\right], \left[\frac{3}{2}, 2\right][/tex]

Now, we just evaluate the function at the right endpoints:

[tex]f\left(x_{1}\right)=f\left(\frac{1}{2}\right)=\frac{33}{2}=16.5\\\\f\left(x_{2}\right)=f\left(1\right)=12\\\\f\left(x_{3}\right)=f\left(\frac{3}{2}\right)=\frac{17}{2}=8.5\\\\f\left(x_{4}\right)=f(b)=f\left(2\right)=6[/tex]

Finally, just sum up the above values and multiply by [tex]\Delta{x}=\frac{1}{2}[/tex]:

[tex]\frac{1}{2}(16.5+12+8.5+6)=21.5[/tex]

The left Riemann sum (also known as the left endpoint approximation) uses the left endpoints of a sub-interval:

[tex]\int_{a}^{b}f(x)dx\approx\Delta{x}\left(f(x_0)+f(x_1)+2f(x_2)+...+f(x_{n-2})+f(x_{n-1})\right)[/tex], where [tex]\Delta{x}=\frac{b-a}{n}[/tex].

To find the Riemann sum for [tex]\int_{0}^{2}\left(2 x^{2} - 12 x + 22\right)\ dx[/tex] with 4 rectangles, using left endpoints you must:

We have that a = 0, b = 2, n = 4. Therefore, [tex]\Delta{x}=\frac{2-0}{4}=\frac{1}{2}[/tex].

Divide the interval [0,2] into n = 4 sub-intervals of length [tex]\Delta{x}=\frac{1}{2}[/tex]:

[tex]\left[0, \frac{1}{2}\right], \left[\frac{1}{2}, 1\right], \left[1, \frac{3}{2}\right], \left[\frac{3}{2}, 2\right][/tex]

Now, we just evaluate the function at the left endpoints:

[tex]f\left(x_{0}\right)=f(a)=f\left(0\right)=22\\\\f\left(x_{1}\right)=f\left(\frac{1}{2}\right)=\frac{33}{2}=16.5\\\\f\left(x_{2}\right)=f\left(1\\\right)=12\\\\f\left(x_{3}\right)=f\left(\frac{3}{2}\right)=\frac{17}{2}=8.5[/tex]

Finally, just sum up the above values and multiply by [tex]\Delta{x}=\frac{1}{2}[/tex]:

[tex]\frac{1}{2}(22+16.5+12+8.5)=29.5[/tex]

Answer:y=3/2x-3

Step-by-step explanation: the slope of the graph is (y2-y1)/(x2-x1)

If we take points (0,-3) (2,0) the slope would be (0--3)/(2-0) = 3/2

And the y-intercept of the slope is -3

Answer:

a. annual income = $31,200

b. Social Security tax  = $1,934.40

c. Medicare =  $452.40

Step-by-step explanation:

40 hours in a week

52 weeks in a year

Tom makes $15 / hour

In a year, the

a. annual income = 15*40*52 = 31200

b. Social Security tax = 31200 * 0.062 = 1934.40

c. Medicare = 31200 * 0.0145 = 452.40

Answer: 20

Step-by-step explanation:

I guess that we want to distribute all the 7 candies between 4 kids

We have 3 options:

first 3, 2, 1 and 1. (the number of candies that each kid gets)

The possible permutations in this case:

if we leave the 3 fixed, the ones do are equal, so the permutations are only given by the change in the kid that gets 2 candies, we have 3 permutations for this.

And for the fixed 3, we have 4 possible places where we can fix it, so the total number of combinations is:

c = 3*4 = 12.

and the second option is (2, 2, 2, 1)

Here the only change is the kid that gets only one candy, we have 4 options in this case:

c = 4.

the third option is (4, 1, 1, 1)

Here the only change is the kid that gets 4 candies, and we have 4 options for this, so we have 4 combinations:

c = 4.

Then the total number of possible combinations is:

C = 12 + 4 + 4 = 20

Answer:

if you are trying to find the value of a then a= -6

Step-by-step explanation:

i used the information along with desmos graphing calculator and i graphed the line and got the second point (-4,-6)

Answer:

a=-6

Step-by-step explanation:

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

1/2=(a-(-2))/(-4-4)

1/2=(a+2)/-8

a+2=1/2×-8=-4

a=-4-2=-6

Answer: D  a rotation, then a dilation

Step-by-step explanation:

A triangle is said to be congruent when all angles are equal to each other and and has the same side.

it is similar  when the two angles correspond with each other and has different sides.

so for a triangle to be different in side only a dilation has to be apply to it. Performing a rotation,reflection, and translation doesn't change the size of the shape it  changes the position of the shape.  

A rotation, then a dilation will create a pair of similar, not congruent triangles.

Two triangles are said to be congruent if they have the same shape and their corresponding sides are congruent. Hence all the three sides and three angles are congruent.

Rotation, translation and reflection are rigid transformation and would produce a congruent shape while dilation produces a similar and not congruent shape.

A rotation, then a dilation will create a pair of similar, not congruent triangles.

Find out more on Congruent triangles at: https://brainly.com/question/1675117

Answer:

31z-162

Step-by-step explanation:

[tex]-40-122=-162[/tex]

[tex]=31z-162[/tex]

Answer:

Unlevered beta ≈ 1.09

Step-by-step explanation:

Unlevered beta is basically the unlevered weighted average cost as it shows the volatility of returns without financial leverage. Unlevered beta is also known as asset beta, while the levered beta is commonly known as equity beta. Unlevered beta is calculated from the hamada equation as:

Unlevered beta = Levered beta/[1 + ((1 - Tax rate) × (Debt / Equity))]

We are given;

Levered beta = 1.4

Tax rate = 30% = 0.3

Debt = $6 million

Equity = $15 million

Thus, plugging these into the hamada equation, we have;

Unlevered beta = 1.4/[1 + ((1 - 0.3) × (6/15))]

Unlevered beta = 1.4/(1 + (0.7 × 0.4)

Unlevered beta = 1.4/(1 + 0.28)

Unlevered beta = 1.4/1.28

Unlevered beta = 1.09375

To 2 decimal places;

Unlevered beta ≈ 1.09

Answer:

time spent studying

Step-by-step explanation:

A Response Variable is also called a dependent variable. It derives that if there is any change so what would be the response. In other words,  we can say that the variation or changes based on other variables

Therefore in the given case, the time spent studying is treated as a response variable and the same is to be considered

Answer: CITY B: Dew Point Temperature = 45°F, expected low Temperature = 50°F

Step-by-step explanation:

CITY C: Dew Point Temperature = 25°F, expected low Temperature = 20°F

CITY A: Dew Point Temperature = 65°F, expected low Temperature = 60°F

CITY B: Dew Point Temperature = 45°F, expected low Temperature = 50°F

city B is going to have dew on their lawn in the morning as the dew point temperature is less than the lowest temperature.

When surface temperature drops, eventually reaching the dew point, atmospheric water vapor condenses to form small droplets on the surface. Thus dew will be formed as the conditions are suitable only for city B.