Solve the following story problem.
The perimeter of a rectangle is 60 inches. The length is four times the
width.
What are the length and width of the rectangle?
Define your variables.
X =
Equation 1
y =
Equation 2
What is the length?
what is the width?

Answer:

for example:

r=2 cm

Area=pi r^2

=3.14*(2)^2

=3.14*4

=12.56

hope it helps

Good luck on your assignment

Answer:

   6  <   third side    <   14

Third side must be greater than 6 and less than 14

Step-by-step explanation:

A triangle can be formed from 2 sides of any length.

The third side must be longer than the difference of the other 2 sides and

 the third side must be less than the sum of the other 2 sides.

I had a quiz with the same question and got an A

Hope this helps! :)

Answer:

20 age This is right answer

Answer:

your weekly wluld be 295

Step-by-step explanation:

all you have to do is multiply the two numbers together and that should be your answer

A)

Car wash costs "3"

x gallons at $2.76 per gallon would cost "2.76x"

Total cost , y, is the sum so:

B)

b.

The graph is shown below:

c.

We put 8 into x of the equation to find the cost.

Answer:

utak mo gamitin mo

hwhsuudusjwudjeuejsusjssjjeiiejee

Answer:

X=3

Steps and explanations:

Answer:

\( > \)

Step-by-step explanation:

The denominators are the same so, you have to look at the numerator which is greater, - 1 is greater because it's close to 0

Answer:

41°

Step-by-step explanation:

AOD and BOC are alternate angles and that makes their measures equal to one another therefore we can write the following equation to find the value of x:

5x - 4 = 4x + 5 transfer like terms to the same side of the equation

5x - 4x = 5 + 4 add/subtract

x = 9 now to find measure of BOC replace x with 9

4*9 + 5 = 41

Answer: Writing an equation in function form. You want to remove the x term from the side y is on and move it to the other side of the equal sign. To do this either add or subtract the x term from both sides. Next divide by the coefficient of the y term. Now your equation is in function form.

explanation: like 57 * Y =142500

what is the number for Y if u don't know u could divided 142500 by 57 and it equals? 2500;) hope I helped

Answer: 167

Step-by-step explanation:

Because I just answered it

The completed table that has a slope of -5 is illustrated below.

Let's choose two points on the line: (0, y-intercept) and (1, y). We don't know the values of y-intercept or y yet, but we can use the slope (-5) to find them. The change in the y-coordinate between these two points is y - y-intercept, and the change in the x-coordinate is 1 - 0 = 1.

So we have:

slope = vertical change / horizontal change

-5 = (y - y-intercept) / 1

To solve for y, we can multiply both sides by 1:

-5 * 1 = y - y-intercept

Simplifying:

-5 = y - y-intercept

Now, we have one equation and two unknowns. But remember that the problem tells us to circle the y-intercept, so we can assume that it's a known value. Let's say the y-intercept is -3.

Substituting -3 for y-intercept, we have:

-5 = y + 3

Simplifying:

y = -8

So now we know that when x is 0, y is -3 (the y-intercept), and when x is 1, y is -8. We can use the same process to fill in the rest of the table.

If we choose the points (1, -8) and (2, y), we have:

slope = vertical change / horizontal change

-5 = (y - (-8)) / (2 - 1)

Simplifying:

-5 = y + 8

y = -13

So now we know that when x is 2, y is -13. We can continue this process for the remaining values of x to fill in the rest of the table.

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Answer:

The answer to this problem is $3.50

Step-by-step explanation:

Answer:

\(\sqrt{x^2+y^2}-x\)

Step-by-step explanation:

\(\textsf{Mulitply by}\quad\dfrac{\sqrt{x^2+y^2}-x}{\sqrt{x^2+y^2}-x}:\)

\(\implies \dfrac{y^2}{\sqrt{x^2+y^2}+x} \times \dfrac{\sqrt{x^2+y^2}-x}{\sqrt{x^2+y^2}-x}\)

\(\implies \dfrac{y^2(\sqrt{x^2+y^2}-x)}{(\sqrt{x^2+y^2}+x)(\sqrt{x^2+y^2}-x)}\)

\(\implies \dfrac{y^2(\sqrt{x^2+y^2}-x)}{(\sqrt{x^2+y^2})^2-x^2}\)

\(\implies \dfrac{y^2(\sqrt{x^2+y^2}-x)}{x^2+y^2-x^2}\)

\(\implies \dfrac{y^2(\sqrt{x^2+y^2}-x)}{y^2}\)

\(\textsf{Cancel the common factor}\:y^2:\)

\(\implies \sqrt{x^2+y^2}-x\)

Rationalising the denominator of the given fraction means we need to multiply both the numerator and the denominator of the fraction by the conjugate of the expression in the denominator. For example:

\(\;\longrightarrow\dfrac{1}{a+b}\)

Here the conjugate of denominator of the expression is a - b. So we need to multiply both the numerator and denominator with the fraction.

\(\;\longrightarrow \dfrac{1}{a+b} \times \dfrac{a-b}{a-b}\)

Hence, this is what the rationalization means.

We have been given and equation and we have been asked to rationalise the equation.

The conjugate of the denominator of the given equation is √(x² + y²) - x. Therefore;

\(\implies \dfrac{y^2}{\sqrt{x^2+y^2}+x} \times \dfrac{\sqrt{x^2+y^2}-x}{\sqrt{x^2+y^2}-x}\)

\(\implies \dfrac{y^2(\sqrt{x^2+y^2}-x)}{(\sqrt{x^2+y^2}+x)(\sqrt{x^2+y^2}-x)}\)

\(\implies \dfrac{y^2(\sqrt{x^2+y^2}-x)}{(\sqrt{x^2+y^2})^2-x^2}\)

\(\implies \dfrac{y^2(\sqrt{x^2+y^2}-x)}{x^2+y^2-x^2}\)

\(\implies \dfrac{y^2(\sqrt{x^2+y^2}-x)}{y^2}\)

\(\implies \boxed{\sqrt{x^2+y^2}}\)

Hence, this is our required solution for this question.

Using the same guideline, for a four-credit class, you would ideally spend:

4 credits * 2-3 hours/credit = 8-12 hours per week.

it is suggested that students allocate around 2-3 hours of study time per credit hour per week for a college-level course. However, the actual study time required may vary based on individual learning styles, prior knowledge, and the specific requirements set by professors or institutions.

Let's apply this general guideline to your scenario:

One three-credit class that is less demanding:

Assuming 2-3 hours of study per credit hour, for a three-credit class, you would ideally spend:

3 credits * 2-3 hours/credit = 6-9 hours per week.

Two three-credit classes that are typically demanding:

Similarly, for each of the two three-credit classes, you would spend:

3 credits * 2-3 hours/credit = 6-9 hours per week.

Since you have two such classes, the total time would be:

2 * (6-9) hours = 12-18 hours per week.

One four-credit class that is very challenging:

Using the same guideline, for a four-credit class, you would ideally spend:

4 credits * 2-3 hours/credit = 8-12 hours per week.

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a) The sample space for four flights selected at random, with arrival status "O" for on-time and "L" for late, is given as {OOOO, OOOL, OOLO, OOLL, OLOO,  OLOL, OLLO, OLLL, LOOO, LOOL, LLOO, LLOL, LLLO, LLLL}.

b) The probability that a randomly selected flight is from Airline A and on-time, denoted as P(A), is calculated by multiplying the probability of being on-time for Airline A (75/100) with the proportion of flights operated by Airline A out of the total (320/1000), resulting in P(A) = 24/100.

c) The probability that a randomly selected flight is either from Airline C or on-time, denoted as P(C), is obtained by dividing the sum of flights on-time (700) and flights operated by Airline C (240) by the total number of flights (1000), giving P(C) = 94/100.

d) The probability that a flight is from Airline B given that it is late, denoted as P(B | L), is computed by multiplying the proportion of late flights (300/1000) with the probability of being from Airline B (35/100), resulting in P(B | L) = 77/300.

e) The probability that a flight is late given that it is from Airline A, denoted as P(L | A), is calculated by multiplying the proportion of flights on-time for Airline A (25/100) with the proportion of flights operated by Airline A (320/1000), resulting in P(L and A) = 8/100. Therefore, P(L | A) = 1 - P(A | L) = 11/15.

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Answer:

5 1/3 grams per  1 servings

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

trust

Answer:D

Step-by-step explanation: because you have to try to get 15p by its self. and the answer is 120 ppl.

The point slope form finds the equation of a straight line that passes through a given point and is inclined to the x-axis. Each point on a line must satisfy the line's equation. Two-variable linear equations symbolize lines. The point slope formula is utilized when we know the line's slope and a point. The next section explains the point slope form and how to calculate its formula.

The equation of a straight line that is inclined at a particular angle to the x-axis and passes at a given point may be found by using the point slope form. This form is used to get the equation of the line. An equation may be said to be the equation of a line if it can be shown to be fulfilled by every point along the line. This indicates that a line is represented by a linear equation that has two variables. Whereas the Point slope formula is only used in situations in which both the slope of the line and a point on the line are known. In the next part, let's get more in-depth knowledge about the point slope form as well as how to derive the formula that is used to express the point slope form.

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Answer:

I believe the next numbers would be 13, 29, 61 and it would be a Cube pattern

Step-by-step explanation:

In mathematics, an integral is a mathematical object that represents the area between a function and the x-axis on a graph, or the accumulation of a quantity over time.

(a) Integrate by parts, letting dv = 5 − x dx.

Using integration by parts, we can write:

∫x(5-x) dx = x ∫(5-x) dx - ∫[d/dx(x) ∫(5-x) dx] dx

= x [5x - (1/2)x^2] - ∫(0 - (5-x)dx)

= x [5x - (1/2)x^2] - (5x - (1/2)x^2) + C

= - (1/2)x^2 + 10x + C, where C is the constant of integration.

(b) Integrate by substitution, letting u = 5 − x.

Using u-substitution, we can write:

∫x(5-x) dx = ∫(5-u)u du

= ∫(5u - u^2) du

= (5/2)u^2 - (1/3)u^3 + C

= (5/2)(5-x)^2 - (1/3)(5-x)^3 + C, where C is the constant of integration.

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In this case, the exponential function is f(x) = 4 * 3^x. When evaluating the function at a specific value of x, such as x = 2, we substitute the value into the function and compute the result. In this case, f(2) = 4 * 3^2 = 36.

Exponential functions represent quantities that grow or decay at a constant relative rate. In the given function f(x) = 4 * 3^x, the base of the exponential term is 3, indicating that the function's values will increase rapidly as x increases.

To find the value of f(2), we substitute x = 2 into the function. Evaluating f(2) gives us f(2) = 4 * 3^2 = 4 * 9 = 36. This means that when x is equal to 2, the exponential function yields a value of 36.

The exponentiation in the function leads to exponential growth, where the base is raised to the power of x. In this case, as x increases, the function's values will grow rapidly due to the exponential nature of the function. Therefore, plugging in x = 2 into the function results in f(2) = 36, indicating a significant increase compared to the initial value of the function.

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Answer:

B

Step-by-step explanation:

Answer:

um i think 58

Step-by-step explanation:

The correct answer is option a. $7,594.46.

To calculate the amount you would reduce the amount you owe in the first year, we can use the formula for the equal installment of a loan. The formula is:

Installment = Principal / Number of Installments + (Principal - Total Repaid) * Interest Rate

In this case, the principal is $45,000, the number of installments is 5, and the interest rate is 8.5%.

Let's calculate the amount you would reduce the amount you owe in the first year:

Installment = $45,000 / 5 + ($45,000 - $0) * 0.085Installment = $9,000 + $3,825

Installment = $12,825

Therefore, you would reduce the amount you owe by $12,825 in the first year.The correct answer is option a. $7,594.46.

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Displacement is the length of the straight line drawn from an object’s initial position to the object’s final position

The term "displacement" refers to a change in an object's position. It is a vector quantity with a magnitude and direction. The symbol for it is an arrow pointing from the initial position to the ending position. For instance, if an object shifts from position A to position B, its position changes.

If an object moves with respect to a reference frame, such as when a passenger moves to the back of an airplane or a professor moves to the right with respect to a whiteboard, the object's position changes. This change in location is described as displacement.

The displacement is the shortest distance between an object's initial and final positions. Displacement is a vector. It is visualized as an arrow that points from the initial position to the final position, indicating that it has both a direction and a magnitude.

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Answer: A.

Step-by-step explanation:

The correct answer is A.

The three major chords built on white notes without accidentals are:

1. C major chord (C, E, G)

2. F major chord (F, A, C)

3. G major chord (G, B, D)

These chords are formed by taking the root note, skipping one white note, and adding the next white note on top. For example, in the C major chord, the notes C, E, and G are played together to create a harmonious sound.

Similarly, the F major chord is formed by playing F, A, and C, and the G major chord is formed by playing G, B, and D. These three major chords are commonly used in various musical compositions and are fundamental building blocks in music theory.

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Answer:

Step-by-step explanation:

3/9 can be a rational number.

Let me show you:

The Answer and/or 1 : 3 or 3 : 9.