Store Trash manufactures trash cans that are open at the top and do not have lids. The company’s engineers are designing a trash can that has a total volume of 7.85 \displaystyle ft^{3}ft

3

. They are deciding between a rectangular prism-shaped trash can with base dimensions of 1.5 ft X 2.0 ft and a cylindrical trash can with a base area of 3.14 \displaystyle ft^{2}ft

2

. The material used to manufacture the trash cans costs $3.60 per square foot. Which trash can design will cost the company less to manufacture and by approximately how much?


A. cylindrical trash can by $2.47.

B. cylindrical trash can by $8.89.

C. rectangular prism trash can by $0.50.

D. rectangular prism trash can by $3.96.

Answer:

1. 8

2. 63

3. 36

4. 30

5. 42

Step-by-step explanation:

it just is

The final result is approximately 57 remainder 0.252608 in base 8.

To divide 10625 base 8 by 137 base 8, we can convert the numbers to base 10, perform the division, and then convert the result back to base 8.

Let's convert the numbers to base 10 first:

\(10625 base 8 = 1 \times 8^4 + 0 \times 8^3 + 6 \times 8^2 + 2 \times 8^1 + 5 \times 8^0\)

= 4096 + 0 + 384 + 16 + 5

= 4501

\(137 base 8 = 1 \times 8^2 + 3 \times 8^1 + 7 \times 8^0\)

= 64 + 24 + 7

= 95

Now we can perform the division:

4501 / 95 ≈ 47.378947

Since we are working with base 8, we need to convert the result back to base 8. The integer part of the result will be the quotient, and the fractional part will be used to find the digits of the remainder.

Quotient: 47 base 8

Remainder: \(0.378947 \times 8 = 3.031576\) (approximately)

Converting the quotient and remainder back to base 8:

Quotient: 47 base 8 =\(5 \times 8^1 + 7 \times 8^0 = 57\)base 8

Remainder: \(0.031576 \times 8 = 0.252608\) (approximately)

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The area of the frame is D. 252 in².

It should be noted that the frame 2 inches wide surrounds a painting that is 18 inches wide and 14 inches tall.

The area will be:

= Length × Width

= 18 × 14

= 252 in²

The area is 252 inches².

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Answer:

The answer is D

3E13

Step-by-step explanation:

6E12 x 5 = 30E12 or 3E13

Answer:

The absolute value function f(x) = |x – 2| takes a non-negative value for all real numbers x, and it returns 0 only when x = 2.

The graph of f(x) is symmetric about the vertical line x = 2 and has a vertical asymptote at x = 2.

We have,

The absolute value function f(x) = |x – 2| is a piecewise function that returns the positive distance between the input value x and the number 2.

Geometrically,

It represents the distance of a point on the number line from point 2.

On the coordinate plane,

The graph of the absolute value function is V-shaped, with its vertex at the point (2, 0).

The two arms of the V extend indefinitely in opposite directions, passing through the points (-∞, 2) and (2, +∞) on the positive and negative sides of the x-axis, respectively.

Thus,

The absolute value function f(x) = |x – 2| takes a non-negative value for all real numbers x, and it returns 0 only when x = 2.

The graph of f(x) is symmetric about the vertical line x = 2 and has a vertical asymptote at x = 2.

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In general, the linear regression formula is shown below

The budgets of Hong Kong, the United States of America, and Korea differ in contents, formats, advantages, and disadvantages. While each budget has its strengths and weaknesses, they all aim to provide a clear and transparent financial plan for their respective countries.

A budget is a financial plan that estimates expected income and expenditure for a specific period. It may include income, expenses, debts, and savings. Budgets may vary from country to country and can be analyzed by comparing their contents, formats, advantages, and disadvantages. Here are the budgets of Hong Kong, the United States of America, and Korea:

United States Budget:

Korean Budget:

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Answer: 17.888543819998

Step-by-step explanation:

Answer:

17.8885

Step-by-step explanation:

find the geometric mean between 16 and 20, we need to multiply the numbers and take the square root of the result. That is:

Geometric Mean = √(16 × 20)

Geometric Mean = √320

Geometric Mean ≈ 17.8885

Therefore, the geometric mean between 16 and 20 is approximately 17.8885.

To create a personal commercial.

Step one:  Establish exactly what you are seeking and your targeted audience.

Sep two: Create your introduction, adding your motivations for your career direction.

Step two: Summarize your education, soft skills, hard skills, and experience.

Step four: Write your elevator speech.

Step five: Review and practice your speech.

A personal commercial or an elevator speech is a brief introduction of usually less than 60 seconds to a potential employer, or important professional contact.

It is used to introduce oneself to a potential employer at a job fair, an interview, or when you are asked to talk about yourself professionally.

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Answer:

You are gonna need 4 cups of milk.

Step-by-step explanation:

1/3 for 10 cookies so x 3= 1 cup for 30 cookies. 1 cup and 30 cookies x 4 = 4 cups and 120 cookies

hi! im chimken and i have your answers!!!

1. polygon: is a closed figure where the sides are all line segments.

2. lateral face: a side of three-dimensional figure that is not a base.

3. pyramid: a solid figure that has a polygon for a base and triangles for sides. it is named for the shape of its base.

4. polyhedron: formed by two parallel, congruent, polygonal bases connected by lateral faces that are parallelograms.

5. i don't know this one :(

6. a net: a two dimensional representation of a three-dimensional figure that is unfolded along it's edges so that each face of the figure is shown in two dimensions.

7. face: is a plane figure that serves as one side of a solid figure.

8. i don't know this one :(

9. there are 4 possible answers. rectangular prism, sphere, cone, cylinder: 3D geometric shapes with the basic three-dimensional shapes.

10. triangular prism: with a known base and height of its face.

i hope this helped!!!

braise bingus!

The p-value of the given hypothesis is; 0.9999

The formula for the z-score of proportions is;

z = (p^ - p)/√(p(1 - p)/n)

where;

p^ is sample proportion

p is population proportion

n is sample size

We are given;

p^ = 15% = 0.15

p = 20% = 0.2

n = 5000

Thus;

z = (0.15 - 0.2)/√(0.2(1 - 0.2)/5000)

z = -8.8388

From p-value from z-score calculator, we have;

P(Z < -8.8388) = 1 - 0.0001 = 0.9999

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Answer:

(2 , 72) and (5 , 180)

Step-by-step explanation:

Options A (2 , 72) and C (5 , 180) will be the correct options.

An equation is an expression that shows the relationship between two or more numbers and variables.

we are Given equation representing the relation between two variables 'x' and 'y' is,

y = 36x

Here, y = yards and x = inches

Now Satisfy this equation with each point given in the question;

Option A. (2, 72)

72 = 36 × 2

72 = 72

This is True

Option B. (4, 40)

40 = 36 × 4

40 = 144

This is False

Option C. (5, 180)

180 = 36 × 5

180 = 180

This is True

Option D. (40, 4)

4 = 36 × 40

4 = 1440

This is False

Option E. (72, 2)

2 = 36 × 72

2 = 2592

This is False

Option F. (180, 5)

5 = 36 × 180

5 = 6480

This is False

Therefore, Options (A) and (C) will be the correct options from all the other

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The amount of satisfaction is the dependent variable and the type of soda is the independent variable in her study.

In Aditi's study, she is researching whether participants feel more satisfied after drinking a regular soda or a diet soda.

To do this, she has participants drink both types of soda in a random order.

After tasting each soda, she measures their level of satisfaction.

In this study, the amount of satisfaction is the dependent variable, as it is what Aditi is trying to measure and understand.

The type of soda (regular or diet) is the independent variable, as it is what Aditi is manipulating in order to see its effect on satisfaction.

By randomly assigning the order in which participants drink the sodas, Aditi minimizes the potential biases that could arise from drinking one soda before the other.

This design allows her to compare the levels of satisfaction between the regular and diet sodas, providing insight into whether one type of soda leads to higher satisfaction than the other.

Aditi's study design helps control for confounding variables and allows her to draw conclusions about the relationship between soda type and satisfaction.

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Answer:

1=8

2=16

5=40

6=48

10=80

12=96

Step-by-step explanation:

you have to multiply by 8 with the left numbers and you divide by 8 with the right numbers

Answer:

85%

Step-by-step explanation:

Because we can see that only 15% of the class obtained A's, and the question only refers to those that did not receive A's, we can subtract the 15% of the 100% whole to get 85%. This can also be written as 85/100 or 17/20(simplified).

Answer:

Area of panel (Uncovered) = 140 cm²

Step-by-step explanation:

Given:

Length of picture = 40 cm

Width of picture = 28 cm

Length of picture with border = 40 + 1 + 1 = 42 cm

Width of picture border = 28 + 1 + 1 = 30 cm

Find:

Area of panel (Uncovered)

Computation:

Area of panel (Uncovered) = Area of panel - Area of picture

Area of panel (Uncovered) = (42 x 30) - (40 x 28)

Area of panel (Uncovered) = 140 cm²

Answer:

161

Step-by-step explanation:

86 - [(4 - 9) to the 2nd power x 3]

86 - [(-5) to the 2nd power x 3]

86 - [-25 x 3]

86-(-75)

86+75

161

Answer:

We just have to do 15 ÷ 15/4 = 15 * 4/15 = 4.

Answer:

ok, here is your answer

Step-by-step explanation:

The answer is (d) 258.000 g and 2.58×10^-2g.Both numbers have the same number of significant figures, which is six.The first number, 258.000 g, has three significant figures after the decimal point, and three before the decimal point. The zeros after the decimal point are significant because they are part of a measured quantity.The second number, 2.58×10^-2g, is written in scientific notation. It also has six significant figures because the number 2.58 has three significant figures, and the exponent -2 has two significant figures.-

xx+1=132=131=xx=x=131/x

Answer:

Step-by-step explanation:

4a + c = 55

3a + 2c = 50

Use -2 for top equation

-8a - 2c = -110

 3a + 2c = 50

-5a = -60

a = $12 each adult

4(12) + c = 55

48 + c = 55

c = $7 each child

Answer:

narrower

Step-by-step explanation:

As \(|a|\) increases, the parabola becomes narrower.

As \(|a|\) decreases, the parabola becomes wider.

Answer:

It rises -4 and runs 6

Step-by-step explanation:

So the slope is -4/6

Answer:

B, C, A

Step-by-step explanation:

B, C, A

bbbbbbbbbbbbbbb bbbbbbbbbbbbbb

The initial value that I might consider with that slope is the y-intercept. The y-intercept is the point where the line crosses the y-axis, and it is the value of y when x is 0. So, if the slope is 2, then the y-intercept might be 1. This would give us the following linear equation:

y = 2x + 1

This equation represents a line that has a slope of 2 and a y-intercept of 1.

Answer:F(x)=4x-20

Step-by-step explanation:

The X on both sides is 12.

Answer:

The graph of f (x)=[x+2] after it is translated 4 units to the right

a. The system in this situation is the two marbles.

b. The marbles' momentums before the collision is 100 g cm/s.

c. The momentum of marble C after the collision is 40 g*cm/s.

d. The momentum of marble D after the collision is 160 g*cm/s.

e. The speed of marble D after the collision is 16.0 cm/s.

a. We can sketch the situation as follows:

Before the collision:

Marble C --------------->

Marble D --------------->

After the collision:

Marble C --------------->

Marble D --------------->

The system in this situation is the two marbles. The before and after situations refer to the state of the system before and after the collision. We can set up a coordinate system with the positive direction being the direction in which the marbles are moving.

b. The momentum of marble C before the collision is given by p_C = m_C * v_C = 5.0 g * 20.0 cm/s = 100 gcm/s. The momentum of marble D before the collision is given by p_D = m_D * v_D = 10.0 g * 10.0 cm/s = 100 gcm/s.

c. The momentum of marble C after the collision is given by p_C = m_C * v_C = 5.0 g * 8.0 cm/s = 40 g*cm/s.

d. The total momentum of the system before the collision is p_before = p_C + p_D = 100 gcm/s + 100 gcm/s = 200 gcm/s. The total momentum of the system after the collision is p_after = p_C + p_D = 40 gcm/s + p_D. Since momentum is conserved, p_before = p_after, so 200 gcm/s = 40 gcm/s + p_D. Solving for p_D gives p_D = 160 g*cm/s.

e. The speed of marble D after the collision is given by v_D = p_D / m_D = 160 g*cm/s / 10.0 g = 16.0 cm/s.

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