In your own words, describe when you should use area, and when you should use volume in calculating the amount of space an object occupies. i of the prism.

Answer:

\(c=\frac{ab-d}{a}\)

Therefore, the option 'c' is true

Step-by-step explanation:

Given the expression

\(a (b - c) = d\)

Let's solve for c

\(a (b - c) = d\)

Step 1: Add -ab to both sides

\(ab-ac+\left(-ab\right)=d+\left(-ab\right)\)

\(-ac=-ab+d\)

Step 2: Divide both sides by -a

\(\frac{-ac}{-a}=\frac{-ab+d}{-a}\)

\(c=\frac{ab-d}{a}\)

Hence, we conclude that:

\(c=\frac{ab-d}{a}\)

Therefore, the option 'c' is true

Answer:

C) c=ad-d/a

Step-by-step explanation:

just took the test

Answer:

B

Step-by-step explanation:

Solution,

here,

slope(m)=-5

passing point;(-1 , -8)=(x1 , y1)

Using the formula:y-y1=m(x-x1)

or,y-(-8)= -5[x-(-1)]

or,y+8=-5x-5

.°.y= -5x-13

Answer: 100 years

Step-by-step explanation:

Answer:

260 ok

Step-by-step explanation:

The most specific name for the figure is an isosceles trapezoid

From the question, we have the following parameters that can be used in our computation:

The figure

The properties of the given figure are

Using the above as a guide, we have the following:

The figure is a trapezoid

Because the nonparallel sides are congruent, then the most specific name for the figure is an isosceles trapezoid

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Each outcome represents the result of two spins, with the first element indicating the outcome of the first spin and the second element indicating the outcome of the second spin in the sample space.

The sample space is the set of all possible outcomes of an experiment. In this case, the experiment is spinning a spinner twice with two equally sized sections labeled "stop" and "go."

The possible outcomes of the first spin are "stop" (s) and "go" (g). Similarly, the possible outcomes of the second spin are also "stop" and "go."

Therefore, the sample space can be represented by all possible combinations of the first and second spin outcomes, which gives us the following four outcomes:

(s,s): the spinner stops on "stop" twice

(s,g): the spinner stops on "stop" on the first spin and on "go" on the second spin

(g,s): the spinner stops on "go" on the first spin and on "stop" on the second spin

(g,g): the spinner stops on "go" twice

Hence, the sample space for spinning a spinner twice with two equally sized sections labeled "stop" and "go" is given by the set: {(s,s), (s,g), (g,s), (g,g)}.

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Answer:

B

Step-by-step explanation:

Question 1a

To calculate the book value at the end of the first year using straight-line depreciation, we need to determine the annual depreciation expense first. The straight-line method assumes that the asset depreciates by an equal amount each year over its useful life. Therefore, we can use the following formula to calculate the annual depreciation:

Annual Depreciation = (Cost - Salvage Value) / Useful Life

Substituting the given values, we get:

Annual Depreciation = ($200,000 - $20,000) / 10 years = $18,000 per year

This means that the tractor will depreciate by $18,000 each year for the next 10 years.

To determine the book value at the end of the first year, we need to subtract the depreciation expense for the year from the original cost of the tractor. Since one year has passed, the depreciation expense for the first year will be:

Depreciation Expense for Year 1 = $18,000

Therefore, the book value of the tractor at the end of the first year will be:

Book Value = Cost - Depreciation Expense for Year 1

= $200,000 - $18,000

= $182,000

So the book value of the tractor at the end of the first year, December 31, 2022, using straight-line depreciation is $182,000. so the answer is D

Question 1(b)

To determine the farmer's noncurrent liabilities, we need to use the information provided to calculate the total liabilities and then subtract the current liabilities from it. Here's the step-by-step solution:

Calculate the total current liabilities using the current ratio:

Current Ratio = Current Assets / Current Liabilities

2 = $80,000 / Current Liabilities

Current Liabilities = $80,000 / 2

Current Liabilities = $40,000

Calculate the total liabilities using the debt/equity ratio:

Debt/Equity Ratio = Total Liabilities / Owner Equity

1.0 = Total Liabilities / $100,000

Total Liabilities = $100,000 * 1.0

Total Liabilities = $100,000

Subtract the current liabilities from the total liabilities to get the noncurrent liabilities:

Noncurrent Liabilities = Total Liabilities - Current Liabilities

Noncurrent Liabilities = $100,000 - $40,000

Noncurrent Liabilities = $60,000

Therefore, the farmer's noncurrent liabilities are $60,000. so the answer is B.

Answer:

The width of the tank is approximately 7.9 feet.

Step-by-step explanation:

The pool is a rectangular prism with the following dimensions:

length = 2*x feet

width = x feet

height = 4 feet

With volume equal to 500 cubic feet, therefore:

volume = length*width*height = 500

(2*x)*(x)*(4) = 500

8*x² = 500

x = sqrt(500 / 8)

x = sqrt(62.5)

x = 7.90569 feet

The width of the tank is 7.9 feet.

Answer:

21

Step-by-step explanation:

a=( (a+b)/2 ) * h

A= 5+9/2 * 3

Answer:

9 + 5 = 14 x 3 = 42 divided by 2 is 21

The value of angle ACB in terms of X is given as 90 - 2x degrees

We have BC to be a tangent to the circle that we have here

∠OBC = 90 degrees

We have the angle that is at to be a circle

AO = OB

then ∠OAB = ∠ABO = X degrees

∠BOC = ∠DAB + ∠ABO = 2x degrees

∠ACB = 90 - 2x degrees

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Answer:

15 miles

Step-by-step explanation:

Well it's 34= 4+ 2x

You remove 4 from 34 since that's the flat fee. Then you just divide 30 /2 which gets you to 15

Answer:

Question #1.

Part A)  C

Part B) "x" represents the cost of each of the equally priced items that mariam buys.

Question #2.

2x+4=34

x = 15

Step-by-step explanation:

$2 represents the amount per mile and the $4 represents the flat fee. "x" represents the number miles that matthew traveled on his trip. Since he spent a total of $34 on his trip and $4 on a flat one time fee then all you need to find is the number of miles he traveled since they give you fee per mile, which is $2.

So, solve:

2x+4=34, minus 4 from both sides

2x=30 then divide by 2 from both sides

x=15

Answer:

I need points!!!!!!!!

Step-by-step explanation:

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The rate of change for the equation y - x = 10 is 1.

To find the rate of change for the equation y - x = 10, we need to determine how y changes with respect to x.

We can rewrite the equation as y = x + 10 by adding x to both sides.

Now, we can observe that the coefficient of x is 1. This means that for every unit increase in x, y will increase by 1. Therefore, the rate of change for this equation is 1.

In other words, as x increases by 1 unit, y will increase by 1 unit as well.

As a result, 1 represents the rate of change for the equation y - x = 10.

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Answer:

12.6

Step-by-step explanation:

Answer:9 miles

Step-by-step explanation:

5 working daya x 1.8 miles = 9 miles

Step-by-step explanation: 1.8 x  7

In a right triangle, where angle 0 is involved, the trigonometric functions can be determined. For angle 0, cot(0) = 2, sin(0) = 0, cos(0) = 1, tan(0) = 0, csc(0) is undefined, and sec(0) = 1.

In a right triangle, angle 0 is one of the acute angles. To determine the trigonometric functions of this angle, we can consider the sides of the triangle. The cotangent (cot) of an angle is defined as the ratio of the adjacent side to the opposite side. Since angle 0 is involved, the opposite side will be the side opposite to angle 0, and the adjacent side will be the side adjacent to angle 0. In this case, cot(0) is equal to 2.The sine (sin) of an angle is defined as the ratio of the opposite side to the hypotenuse. In a right triangle, the hypotenuse is the longest side. Since angle 0 is involved, the opposite side to angle 0 is 0, and the hypotenuse remains the same. Therefore, sin(0) is equal to 0.
The cosine (cos) of an angle is defined as the ratio of the adjacent side to the hypotenuse. In this case, since angle 0 is involved, the adjacent side is equal to 1 (as it is the side adjacent to angle 0), and the hypotenuse remains the same. Therefore, cos(0) is equal to 1.The tangent (tan) of an angle is defined as the ratio of the opposite side to the adjacent side. In this case, since angle 0 is involved, the opposite side is 0, and the adjacent side is 1. Therefore, tan(0) is equal to 0.
The cosecant (csc) of an angle is defined as the reciprocal of the sine of the angle. Since sin(0) is equal to 0, the reciprocal of 0 is undefined. Therefore, csc(0) is undefined.
The secant (sec) of an angle is defined as the reciprocal of the cosine of the angle. Since cos(0) is equal to 1, the reciprocal of 1 is 1. Therefore, sec(0) is equal to 1.

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The solutions of the quadratic equation z^2 + (4+6i)z + 20+12i = 0 can be found using the quadratic formula.

Using the quadratic formula, the solutions for the given equation are:

z = (-b ± √(b^2 - 4ac)) / (2a)

Here, a = 1, b = 4+6i, and c = 20+12i. Plugging in these values, we can calculate the solutions.

The quadratic formula is a method to find the solutions of a quadratic equation of the form az^2 + bz + c = 0, where a, b, and c are complex numbers. In this case, we have a = 1, b = 4+6i, and c = 20+12i.

To find the solutions, we substitute these values into the quadratic formula:

z = (-4-6i ± √((4+6i)^2 - 4(1)(20+12i))) / (2(1))

Simplifying further:

z = (-4-6i ± √(16+24i-24i-36i^2 - 80-48i)) / 2

z = (-4-6i ± √(-36-60i)) / 2

Now, we need to simplify the square root term:

√(-36-60i) = √((-36) - 60i) = √(-96(1+i)) = √(-96) √(1+i) = 4i √(1+i)

Substituting this back into the equation:

z = (-4-6i ± 4i √(1+i)) / 2

Simplifying further:

z = -2 - 3i ± 2i √(1+i)

Hence, the two solutions to the quadratic equation z^2 + (4+6i)z + 20+12i = 0 are:

z = -2 - 3i + 2i √(1+i) and z = -2 - 3i - 2i √(1+i).

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(-7, 2)

STEP - BY - STEP EXPLANATION

What to find?

The solution to the given the system of equations .

Given:

To solve the above system of equations, we will follow the steps below:

Step 1:

Multiply through equation (1) by 4

Step 2

Multiply through the second equation by 5.

Step 3

Using substitution method to solve.

Make x the subject of formular.

Step 4

Substitute equation(4) into equation (2).

Step 5

Open the parenthesis.

Step 6

Collect like term.

Step 7

Divide both-side of the equation by 15.

Step 8

Substitute y=2 into equation (4) to determine the value of x.

Hence, x =-7 and y=2.

Therefore, the solution in ordered pair is (-7, 2)

To divide \(\displaystyle\sf 12a^{7}b^{2}\) by \(\displaystyle\sf 4a^{2}b\), we can apply the rules of division with exponents.

When dividing like terms, we subtract the exponents of the variables.

For the coefficients, \(\displaystyle\sf \frac{12}{4}\) simplifies to \(\displaystyle\sf 3\).

For the variables \(\displaystyle\sf a\), we subtract the exponents \(\displaystyle\sf 7-2\) to get \(\displaystyle\sf a^{5}\).

For the variables \(\displaystyle\sf b\), we subtract the exponents \(\displaystyle\sf 2-1\) to get \(\displaystyle\sf b^{1}\) (which simplifies to just \(\displaystyle\sf b\)).

Therefore, the result of dividing \(\displaystyle\sf 12a^{7}b^{2}\) by \(\displaystyle\sf 4a^{2}b\) is:

\(\displaystyle\sf \frac{12a^{7}b^{2}}{4a^{2}b} = 3a^{5}b\)

So, \(\displaystyle\sf 12a^{7}b^{2}\) divided by \(\displaystyle\sf 4a^{2}b\) simplifies to \(\displaystyle\sf 3a^{5}b\).

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Answer:

Barb evaluated correctly

Answer:

Barb is the correct expression

Answer:

Step-by-step explanation:

Remark

What you want to do is get r on one side of the equal sign and everything else on the other.

Givens

V = pi r^2 h

Solution

Divide by pi

V/pi = pi r^2 h/pi

V/p = r^2 * h

Divide by h

V / h pi = r^2 h / h              Cancel h on the right side. Turn equation around

r^2 =  V / h pi

Take the square root of both sides

√r^2 = √(V / h pi )

r = √ (V / h pi)

Answer r =√ (V / h pi)

Answer:

your answer is 8

Step-by-step explanation:

If you divide  322.4 by the speed 40.3 you would get 8 the amount of hours traveling the given distance.

If you dont think the answer is correct you can simply mutiply 40.3 by 8 to ensure that 322.4 miles is in fact how far you will go in that time

hope this help. Have a good day!

\

Bye

Answer:

D. $24.75

Step-by-step explanation:

24.75 - 4.75 - 1.65 = 18.35

Answer: x=4

Step-by-step explanation:

firstly you solve the barracks first by multipy 2 into ( x+8) after that you collect like terms on one side of the equation or make x become the subject of the equation and solve for x

Answer:

x=-27/11

Step-by-step explanation:

This answer is x=-27/11

Answer:

π is the constant ...... circle to its circumference

π is the area .... radius 1

Step-by-step explanation:

π is a mathematical constant, defined as ratio of circle's circumference to its diameter.

π is area of circle of radium 1. Area = π r^2 = π (1)^2 = 1

Answer:

Step-by-step explanation:

An=3*n

Answer:

n=3m

Step-by-step explanation:

n represent the number of movies he will watch

m shows the amoutn of month