Given ƒ(x) = −12x + 72, find x when ƒ(x) = 24. A) 1 B) 3 C) 4 D) 6



will give brainliest

Answers

Answer 1

Answer:

if f(x)=24

24=-12x+72

24-72=-12x

-48=-12x

x=48/12

x=4

so it's (C)

Answer 2

Answer:

x=4; Option C is your answer.

Step-by-step explanation:

Plug in 24:

[tex]f(x)=24\\[/tex]

[tex]24=-12x+72[/tex]

Solve For X:

[tex]-12x+72-72=24-72\\-12x=-48\\\frac{-12x}{-12} =\frac{-48}{-12}\\ x=4[/tex]


Related Questions

PLEASE answer this I put the graph in the picture

Answers

Option B because you would be expanding the original slope to get 36 and 18! :)

true or false...a triangle with sides of lengths 20,21 and 29 is a right triangle​

Answers

Answer:

True

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

20 squared+21 sqaured= 29 squared

20 pts and brainiest if correct

Answers

We have 1 square with side length 8 inches, and 4 triangles with a base length of 8 inches and a height of 15.

Surface area = (8 × 8) + 4(0.5 × 8 × 15)

The first part of this equation is the area of the square

The second part is the area of a triangle, multiplied by 4 (because there are 4 triangles)

= 64 + 4(60)

= 64 + 240

= 304 in²

The total surface area is 304 square inches.

Let me know if you need any clarifications, thanks!

Please need help!!! Need in 10 monutes

Answers

Answer:

Step-by-step explanation:

16) 4 * y/5

The value of y should be greater than 5

For example if y = 6, then 4* 6/5 = 24/5 = 4.8

If y= 10, then 4* 10/5 = 4 * 2 = 8

y > 5

17) 1 pound = 16 ounce

3020 pounds =3020 * 16 = 48320 ounces

please help me please ​

Answers

None of them because they are not in order

amy and brittnay spent a total of $25 for lunch. Brittanys lunch cost $3 more than amy’s did. how much did amy spend for lunch?

Answers

Answer:

Amy spent $11 for lunch.

Step-by-step explanation:

x+y=25

x+(x+3)=25

2x+3=25

2x=25-3

2x=22

x=22/2

x=11

Answer:amy spent 11 dollars.

Step-by-step explanation:I did math

HELP ASAP will give brainliest

A farmer is tracking the amount of wheat his land is yielding each year. He finds that the function f(x) = −x2 + 20x + 75 models the crops in pounds per acre over x years. Find and interpret the average rate of change from year 5 to year 15.


The crop yield increased by 150 pounds per acre from year 5 to year 15.

The crop yield decreased by 15 pounds per acre from year 5 to year 15.

The crop yield decreased by 5 pounds per acre from year 5 to year 15.

The crop yield did not change from year 5 to year 15.

Answers

Average rate of change is 0

Interpretation: The crop yield did not change from year 5 to year 15

Solution:

The function that models the yield is:

[tex]f(x) = -x^2 + 20x + 75[/tex]

The average rate of change of f(x) from x = a to x = b is given by the formula:

[tex]\text{ average rate of change }=\frac{f(b)-f(a)}{b-a}[/tex]

Find and interpret the average rate of change from year 5 to year 15

[tex]f(5) = -(5)^2 + 20(5) + 75\\\\f(5) = -25 + 100 + 75\\\\f(5) = 150[/tex]

[tex]f(15) = - (15)^2 + 20(15) + 75\\\\f(15) = -225 + 300 + 75\\\\f(15) = 150[/tex]

Thus average rate of change:

[tex]\text {average rate of change}=\frac{f(15)-f(5)}{15-5}[/tex]

[tex]\text {average rate of change}=\frac{150-150}{10}=0[/tex]

Thus Average rate of change is 0

Interpretation: The crop yield did not change from year 5 to year 15.

Final answer:

The average rate of change in wheat yield from year 5 to year 15 is 0 pounds per acre per year, symbolizing that there was no change in the crop yield between these years.

Explanation:

To find the average rate of change of the wheat yield from year 5 to year 15, we will apply the function f(x) = −x² + 20x + 75 to these years and then calculate the rate of change. First, we'll find the yield for year 5 and year 15:

For year 5: f(5) = −(5)² + 20(5) + 75 = − 25 + 100 + 75 = 150For year 15: f(15) = −(15)² + 20(15) + 75 = − 225 + 300 + 75 = 150

Next, we'll calculate the average rate of change using these yields:

Average rate of change = (f(15) - f(5)) / (15 - 5) = (150 - 150) / (10) = 0

Therefore, the crop yield did not change from year 5 to year 15. The function indicates that at both year 5 and year 15, the farmer's land yielded 150 pounds per acre, so the average rate of change in yield over this period is 0 pounds per acre per year.

The area of a triangle is given by the formula A=1/2bh. Solve this equation for the height, h, in terms of the base, b, and area, A.

Answers

The equation for the height, h, in terms of the base, b, and area, A is [tex]h = \frac{2A}{b}[/tex]

Solution:

Given that area of a triangle is given by the formula:

[tex]A = \frac{1}{2}bh[/tex]

Where,

A is the area of triangle

b is the base of triangle

h is the height of triangle

We have to find the equation for height in terms of base and area

So we have to arrange the equation in such a way that height can be found by using area and base

Given formula is:

[tex]A = \frac{1}{2}bh[/tex]

Keep "h" alone in L.H.S and move the other terms to other side of formula

[tex]A = \frac{bh}{2}\\\\2A = bh\\\\h = \frac{2A}{b}[/tex]

Thus height is expressed in terms of base and area

Micheal is 4 times as old as Brandon and is also 27 years older than Brandon. How old is Brandon?

Answers

Answer: 108

Step-by-step explanation:

when 6 is subtracted from the square of a number, the result is 5 times the number. Find the negative solution.

Answers

When 6 is subtracted from the square of a number, the result is 5 times the number, then the negative solution is -1

Solution:

Given that when 6 is subtracted from the square of a number, the result is 5 times the number

To find: negative solution

Let "a" be the unknown number

Let us analyse the given sentence

square of a number = [tex]a^2[/tex]

6 is subtracted from the square of a number = [tex]a^2 - 6[/tex]

5 times the number = [tex]5 \times a[/tex]

So we can frame a equation as:

6 is subtracted from the square of a number = 5 times the number

[tex]a^2 - 6 = 5 \times a\\\\a^2 -6 -5a = 0\\\\a^2 -5a -6 = 0[/tex]

Let us solve the above quadratic equation

For a quadratic equation [tex]ax^2 + bx + c = 0[/tex] where [tex]a \neq 0[/tex]

[tex]x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}[/tex]

Here in this problem,

[tex]a^2-5 a-6=0 \text { we have } a=1 \text { and } b=-5 \text { and } c=-6[/tex]

Substituting the values in above quadratic formula, we get

[tex]\begin{array}{l}{a=\frac{-(-5) \pm \sqrt{(-5)^{2}-4(1)(-6)}}{2 \times 1}} \\\\ {a=\frac{5 \pm \sqrt{25+16}}{2}=\frac{5 \pm \sqrt{49}}{2}} \\\\ {a=\frac{5 \pm 7}{2}}\end{array}[/tex]

We have two solutions for "a"

[tex]\begin{array}{l}{a=\frac{5+7}{2} \text { and } a=\frac{5-7}{2}} \\\\ {a=\frac{12}{2} \text { and } a=\frac{-2}{2}}\end{array}[/tex]

a = 6 or a = -1

We have asked negative solution. So a = -1

Thus the negative solution is -1

What is 5 3/7 - 2 1/5?

Answers

Answer:

3 8/35 is the answer your welcome

How do you solve the following for x?

Answers

Answer:

Step-by-step explanation:

Is called a letter that stands for the number

Answer:

Step-by-step explanation:

√10x - 1 = 7

Square both sides,

10x - 1 = 7²

10x - 1 =  49

10x = 49 + 1

10x = 50

x = 50/10

x=5

1. What is the period of the sinusoidal function? Please help thank you

Answers

The period will be the length for one cycle of the function.

answer: 10

What are the domain and range of the function f(x) = -3(x-5)2 +4?

domain: (-0,5)

range: -00,00)

domain: (-0,4]

range: -00,00)

domain: (-0,5]

range: (-0,4]

domain: -00,00

range: (-0,4]

Answers

Good evening ,

Answer:

domain: ]−∞,+∞[

range: ]−∞,4]

Step-by-step explanation:

Look at the photo below for more info.

:)

Final answer:

The domain of the function f(x) = -3(x-5)² +4 is all real numbers, written as (-∞, ∞). The range, or possible values of f(x), is (-∞, 4] since the parabola opens downwards and the maximum value is 4.

Explanation:

The function f(x) = -3(x-5)² +4 is a parabola that opens downwards. The domain of a function is the set of all values that x can take. For any parabolic function, the domain is always all real numbers, which we could write as (-∞, ∞).

The range of a function refers to the possible values of f(x). In this case, since the parabola opens downwards, the maximum value of f(x) is at the vertex of the function. This parabola's vertex is at (5,4), so its maximum, and thus the upper boundary of the range, is 4. The parabola continues downwards to negative infinity, so the range is (-∞, 4].

Therefore, the domain is (-∞, ∞), and the range is (-∞, 4].

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As a laboratory assistant, you measure chemicals using the metric system. For your current research, you need to measure out 45 grams of sodium chloride. The bottle you are using lists the amount in ounces. About how many ounces of sodium chloride will you need?

Answers

Answer:

There is 1.587 ounces of sodium chloride that he will need.

Since we have given that

Quantity of sodium chloride in grams = 45 grams

We need to find the number of ounces of sodium chloride.

As we know that

1 ounce = 28.35 gram

So, 1 gram =

So, 45 grams =

Hence, there is 1.587 ounces of sodium chloride that he will need.

Step-by-step explanation: Since we have given that

Quantity of sodium chloride in grams = 45 grams

We need to find the number of ounces of sodium chloride.

As we know that

1 ounce = 28.35 gram

So, 1 gram =

So, 45 grams =

Hence, there is 1.587 ounces of sodium chloride that he will need.

alicia takes 4 white 2 red and 3 lue shirts on the trip. on the first day alicia will pick a shirt at random. what is the probability that she picks a red shirt?

Answers

Answer:

The Probability of Alicia picking a red shirt is [tex]\frac{2}{9}[/tex].

Step-by-step explanation:

Given,

Number of White shirts = 4

Number of Red shirts = 2

Number of Blue shirts = 3

Solution,

Total number of shirts = Number of White shirts + Number of Red shirts + Number of Blue shirts = [tex]4+2+3=9[/tex]

[tex]P(E)=\frac{Total\ number\ of\ possible\ outcomes}{Total\ number\ of\ outcomes}[/tex]

Therefore,

[tex]P(of\ red\ shirts)=\frac{2}{9}[/tex]

Hence The Probability of Alicia picking a red shirt is [tex]\frac{2}{9}[/tex].

How to solve this?:

2x+2y=9
2x-y=3

Answers

Answer:

(2.5, 2 )

Step-by-step explanation:

Given the 2 equations

2x + 2y = 9 → (1)

2x - y = 3 → (2)

Rearrange (2) expressing y in terms of x

y = 2x - 3 → (3)

Substitute y = 2x - 3 into (1)

2x + 2(2x - 3) = 9 ← distribute left side and simplify

2x + 4x - 6 = 9

6x - 6 = 9 ( add 6 to both sides )

6x = 15 ( divide both sides by 6 )

x = 2.5

Substitute x = 2.5 into (3) for corresponding value of y

y = 2(2.5) - 3 = 5 - 3 = 2

Solution is (2.5, 2 )

Solve this using the elimination process.

They're already lined up so just solve!

2x + 2x = 4x

2y+ (-y) = 3y

9 + 3 = 12

4x + (-1y) = 12

Now solve.

4x + -1 x y = 12

4x - y = 12

4x = 12 + y

x = 12 + y / 4

First, when a problem is lined up with the same vales/terms, you can use the elimination process while doing math.

Then, make your equation by adding and subtracting the same terms.

Therefore, you finally get your answer.

Keep in mind not all answers will be a full number.

A rhombus, COAL is centered at the origin. The longer diagonal is on the y-axis and has a

length of 27m. The shorter diagonal is on the x-axis and has a length of has diagonals with

length 19m. Determine the coordinates of the vertices.

Answers

Answer with Step-by-step explanation:

We are given  that

COAL is a rhombus .

CA and LO are the diagonals of rhombus COAL.

CA=27 m

OL=19 m

We know that

Diagonals of rhombus are bisect to each other.

Let P(0,0) be the intersecting point of diagonals

Therefore, CP=PA

LP=PO

Length PO=[tex]\frac{1}{2}LO=\frac{19}{2}=9.5 m[/tex]

Length of CP=[tex]\frac{1}{2}PA=\farc{1}{2}(27)=13.5 m[/tex]

Let C([tex]0,y_2),O(x_1,0),A(0,y_1) \;and\;L(x_2,0)[/tex].

Distance formula:[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using the formula

[tex]CP=\sqrt{(0-0)^2+(0-y_2)^2}=13.5[/tex]

[tex]\sqrt{y^2_2}=13.5[/tex]

[tex]y_2=\pm 13.5[/tex]

C(0,13.5) or (0,-13.5)

[tex]\sqrt{(y_2-y_1)^2}=27[/tex]

Substitute the value [tex]y_2=13.5[/tex]

[tex]\sqrt{13.5-y_1}=27[/tex]

[tex]13.5-y_1=\pm 27[/tex]

[tex]y_1=13.5-27=-13.5[/tex]

A(0,-13.5)

[tex]13.5-y_1=-27[/tex]

[tex]y_1=13.5+27=40.5[/tex]

A(0,40.5)

Substitute [tex]y_2=-13.5[/tex]

[tex]\sqrt{(-13.5-y_1)^2}=27[/tex]

[tex]-13.5-y_1=\pm 27[/tex]

[tex]-13.5-y_1=27[/tex]

[tex]y_1=-13.5-27=-40.5[/tex]

A(0,-40.5)

[tex]-13.5-y_1=-27[/tex]

[tex]y_1=-13.5+27=13.5[/tex]

A(0,13.5)

[tex]LP=\sqrt{(x_2-0)^2}=9.5[/tex]

[tex]\sqrt{x^2_2}=9.5[/tex]

[tex]x_2=\pm 9.5[/tex]

L(9.5,0) or L(-9.5,0)

[tex]\sqrt{x_2-x_1)^2}=19[/tex]

[tex](9.5-x_1)^2}=19[/tex]

[tex]9.5-x_1=\pm 19[/tex]

[tex]9.5-x_1=19[/tex]

[tex]x_1=9.5-19=-9.5[/tex]

[tex]9.5-x_1=-19[/tex]

[tex]x_1=9.5+19=28.5[/tex]

[tex](-9.5-x_1)=19[/tex]

[tex]-9.5-x_1=\pm 19[/tex]

[tex]-9.5-x_1=19[/tex]

[tex]x_1=-9.5-19=-28.5[/tex]

[tex]-9.5-x_1=-19[/tex]

[tex]-9.5+19=x_1[/tex]

[tex]x_1=9.5[/tex]

O(-9.5,0) or O(28.5,0) or (-28.5,0) or (9.5,0)

At this rate, how many dresses does Lucy sew in one hour?

Answers

Answer: Lucy sews [tex]\frac{16}{21}[/tex] of a dress in one hour.

Step-by-step explanation:

The complete question is:

"Lucy is a dress maker. She sew [tex]\frac{4}{7}[/tex] of a dress in [tex]\frac{3}{4}[/tex] hour. At this rate, how many dresses does Lucy sew in one hour?"

Let "x" represents the number of dresses that Lucy sews in one hour.

You need to analize the information given in the exercise.

According to the exercise, you know that, in [tex]\frac{3}{4}[/tex] hour, Lucy sews [tex]\frac{4}{7}[/tex] of a dress.

Then, knowing this data, you can set up the following proportion:

[tex]\frac{\frac{4}{7}}{\frac{3}{4}}=\frac{x}{1}[/tex]

Therefore, you must solve for "x" in order to find the he number of dresses that Lucy sew in one hour.

You get this result:

[tex](1)(\frac{4*4}{7*4})=x\\\\x=(1)(\frac{16}{21})\\\\x=\frac{16}{21}[/tex]

Then, Lucy sews [tex]\frac{16}{21}[/tex] of a dress in one hour.

Caroline has 5 times as many paper clips as Trevon. After Trevon buys another 500 paper clips, he has 268 paper clips fewer than Caroline. How many paper clips does Trevon have now?

Answers

Trevon have 692 paper clips after buying 500 more clips.

Step-by-step explanation:

Let,

Paper clips Caroline have = x

Paper clips Trevon have = y

According to given statement;

x = 5y   Eqn 1

After Trevon buys another 500 paper clips, he has 268 paper clips fewer than Caroline.

y + 500 = x - 268

y + 500 +268 = x

y + 768 = x     Eqn 2

Putting value of x from Eqn 2 in Eqn 1

[tex]y+768 = 5y\\768=5y-y\\768 = 4y\\4y=768[/tex]

Dividing both sides by 4

[tex]\frac{4y}{4}=\frac{768}{4}\\y=192[/tex]

Number of paper clips Trevon has now = y+500 = 192+500 = 692

Trevon have 692 paper clips after buying 500 more clips.

Keywords: linear equation, substitution method

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Final answer:

To find out how many paper clips Trevon has now, we set up an algebraic equation and solve it to determine that Trevon originally had 192 paper clips. After buying an additional 500, he now has a total of 692 paper clips.

Explanation:

The student's question involves solving a basic algebra word problem where Caroline has 5 times as many paper clips as Trevon. When Trevon buys another 500 paper clips, he has 268 paper clips fewer than Caroline. To solve this, we can set up the equation to find the original number of paper clips Trevon had:

Let T represent the number of paper clips Trevon originally had.Caroline has 5 times as many paper clips, so she has 5T.After Trevon buys 500 more, he has T + 500.At this point, Trevon has 268 fewer paper clips than Caroline, so 5T = T + 500 + 268.Solving this equation: 5T = T + 768.4T = 768T = 192

So, Trevon originally had 192 paper clips. After buying another 500, Trevon now has 192 + 500 = 692 paper clips.

Please help me really quick pleasee
answer choices:
a)2
b)11
c)20
d)29

Answers

Answer:

C. [tex]x=20^{\circ}[/tex]

Step-by-step explanation:

Angle 6 and angle with measure 45° are vertical angles (opposite angles whan two lines intersect). By Vertical Angles Theorem, vertical angles are congruent, so

[tex]m\angle 6=45^{\circ}[/tex]

Angle 6 and angle with measure [tex]5x+35^{\circ}[/tex] are the same side interior angles when two parallel lines are cut by transversal. The same side interior angles add up to 180°, then

[tex]m\angle 6+5x+35^{\circ}=180^{\circ}\\ \\45^{\circ}+5x+35^{\circ}=180^{\circ}\\ \\5x=180^{\circ}-45^{\circ}-35^{\circ}\\ \\5x=100^{\circ}\\ \\x=20^{\circ}[/tex]  

Sum1 help me in any of these

Answers

This seems confusing, like part of the question was cut off, but I'll try my best!

Answer: (For Part A)

I'm gonna assume that the $25.30 is the sum of all food and beverages.

So, if that's the case, the bill should be $27.32

Step-by-step explanation:

The meals tax is 8%, so all you have to do is multiply 25.30 (or 25.3) with 0.08 (8%) to get 2.024. Then you add 2.024 to the original number;

25.30 + 2.024 = 27.324

Finally you round to the nearest cent. So you get $27.32

However this might be incorrect because it looks like a  part of the question is missing.

I need help please and thank you!!

Answers

Answer:3/8 as a fraction and 3/8%

Step-by-step explanation:

3.8 divided by 2 estimated

Answers

Answer:

Approx. 2

Step-by-step explanation:

round 3.8 to the nearest whole number, which is 4.

Divide 4 by 2.

3.8/2 is approx. 2.

(the exact answer would be 1.9)

Final answer:

To estimate the result of 3.8 divided by 2, you can round 3.8 to 4 which, when divided by 2, gives an estimate of 2. This method provides a result that is close to the actual answer of 1.9.

Explanation:

The question '3.8 divided by 2 estimated' is asking for an approximate result of dividing 3.8 by 2. To estimate this, you can round 3.8 to 4 because it is close to this even number which makes mental math easier. Now, divide 4 by 2 to get 2. Although this is an estimate, the actual calculation of 3.8 / 2 yields 1.9. So, our estimated answer is close to the actual result.

When performing division, estimation can be a useful tool, especially when dealing with decimals. Estimating can also help in checking the reasonableness of answers obtained via calculators, which can sometimes provide more precision than necessary. For example, when using significant figures in calculations, a calculator does not limit the precision of the result, but estimating can help a user decide how many decimal places to report.

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(-3, y) and (1, -7); m = -4

Answers

Step-by-step explanation:

If you're asking for an equation, the equation would be: [tex]y=-4x-3[/tex]

(probably what you're looking for) if you're looking for what y equals, the answer is: 9

for equation:

1. write an equation with the information you have

[tex]y=-4x+b[/tex]

2. Plug in the values for x and y

[tex]-7=-4(1)+b[/tex] where b equals -3

so your equation would be [tex]y=-4x-3[/tex]

for what y equals:

1. since you've figured out the equation, plug in the value for x and solve for y

[tex]y=-4(-3)-3[/tex] which then gives you [tex]y=9[/tex]

Given f(x) and g(x) = f(k:x), use the graph to determine the value of k.

Answers

Answer:

k=2

Step-by-step explanation:

We are given that two function f(x) and g(x)

[tex]g(x)=f(kx)[/tex]

From given graph

[tex]g(-2)=0[/tex]

[tex]f(-4)=0[/tex]

[tex]g(-2)=f(-4)[/tex]

By comparing we get

x=-2 and

[tex]kx=-4[/tex]

[tex]k(-2)=-4[/tex]

[tex]k=\frac{-4}{-2}=2[/tex]

Hence, the value of k=2

Based on information provided, the value of k is 2.

Here's why:

1. Understanding the problem: We are given two functions, f(x) and g(x), where g(x) is defined as f(k * x). The graph shows both functions, and we are asked to find the value of k.

2. Analyzing the graph: The graph shows two lines:

  - The red line represents f(x).

  - The blue line represents g(x).

3. Key observation: We are given that g(-2) = 0. This means the blue line intersects the x-axis at x = -2.

4. Relating g(x) to f(x): Since g(x) = f(k * x), we know that the blue line is obtained by horizontally stretching or compressing the red line by a factor of k.

5. Finding k: To make the blue line intersect the x-axis at x = -2, we need to stretch the red line to the left by a factor of 2. This means k = 2.

Therefore, based on the given information and the analysis of the graph, the value of k is 2.

What is the value of n in the diagram below?

Answers

Step-by-step explanation:

Picture############

Write a ratio that is equivalent to 13:2, other than 13:2 itself

Answers

26:4

Hope this helps!

Final answer:

An equivalent ratio to 13:2 can be found by multiplying or dividing both terms of the ratio by the same number. For instance, when both terms are multiplied by 2, the equivalent ratio is 26:4 because the proportion remains unchanged.

Explanation:

To find a ratio equivalent to 13:2, you need to multiply or divide both terms of the ratio by the same number. For example, if you multiply both terms of the ratio 13:2 by 2, you would get 26:4 which is an equivalent ratio. This is because the relationship or proportion between the two terms remains the same.

Here's the step-by-step calculation:

Multiply the first term of the ratio (13) by 2. That gives you 26.Multiply the second term of the ratio (2) by 2. That gives you 4.

So, the ratio that is equivalent to 13:2 is 26:4.

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I just need some help on number 7

Answers

Answer:

18 feet

Step-by-step explanation:

1 inch = 6 feet

3 * 6 = 18

What is an equation of a line that passes through the points (8 , -3) (8 , 4)

Answers

Answer:

[tex]\displaystyle x = 8[/tex]

Step-by-step explanation:

Anything set to equal x is considered an undefined rate of change [slope], which is a vertical line. This is not a function, since it flunks the vertical line test.

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Who is the woman marching across the Plains supposed to represent? Phoebe is taking samples to determine the populations of aquatic life in different areas of a lake. She takes samples from different areas of the lake and finds the marine life listed in the chart below. What can Phoebe infer from the data in the table?Location 1Location 2Location 3Location 4Insects13201815Crawfish8152022Fish3111312Other5284A. Location 1 has a larger food source than location 4.B. Location 3 gets more sunlight than location 2.C. Crawfish prefer the food source at location 4.D. Fish prefer the food source at location 1. The capital asset pricing model:_______A) Depicts the total risk of a security. B) Measures risk as the coefficient of variation between security and market rates of return. C) Provides a risk-return trade-off in which risk is measured in terms of beta. D) Provides a risk-return trade-off in which risk is measured in terms of the market volatility. describe a healthy diet ? The best evidence that the distance between the moon and the earth varies is provided by? Choose the ideal cost of quality breakdown from the following options.a. Prevention 15%, Appraisal 35%, Failure 50% b. Prevention 5%, Appraisal 45%, Failure 50% c. Prevention 50%, Appraisal 35%, Failure 15% d. Prevention 25%, Appraisal 50%, Failure 25% A $1,000 par value bond with a conversion price of $50 has a conversion ratio ofa. $40b. 40 sharesc. $20d. 20 shares Which unhealthy behaviors should you avoid? What happens to the volume of a gas if the temperature of that gas increases?A:It increases.B:It decreases.C:It stays the same. What would be the total cost of leasing a vehicle for four years that requires a security deposit of $1,000 (which would be withdrawn from your portfolio, which earns 9% per year), has monthly lease payments of $500, and has a mileage restriction of 20,000 with excess mileage resulting in a 10 cents per mile charge. Assume that over the life of the lease you exceed the mileage limitations by a total of 8,000 miles. Fred Jones purchased 5 $1,000 bonds at 92. The bonds pay 7%. What was the cost of the bonds?$ What was the total annual interest?$ What is the yield (to the nearest tenth of a percent)? On December 1, Williams Company borrowed $45,000 cash from Second National Bank by signing a 90-day, 9% note payable. a. Prepare Williams' journal entry to record the issuance of the note payable. b. Prepare Williams' journal entry to record the accrued interest due at December 31. c. Prepare Williams' journal entry to record the payment of the note on March 1 of the next year. The Smith family is driving to a vacation spot. The number of miles they have left is 540-60x, where x represents the number of driving hours. What does 60x represent?a. the number of miles driven after 1 hourb. the total distance to the state parkc. the number of miles driven after x hours Mi padre, Juan, tiene una hermana en Cuba. Ella es Sandra. Ellos tienen el pelo ________.Cmo es Sandra?Es ________.Group of answer choicescastaa; bonitacastao; bonitocastaa; bonitocastao; bonita Cosmo Techno, a new technology firm, invested $50,000 to obtain high-speed Internet services for fast and efficient transmission of information across its branches. In this scenario, the investment cost incurred by Cosmo Techno is an example of _____. Concerning comb shape in chickens, which of the following is true? Multiple Choice The R gene is dominant to the P gene. The R and P must both be present to produce a walnut comb. R is recessive to r and produces a rose comb. P is recessive to p and produces a single comb. A corporation issued for cash 100,000 shares of its $0.01 par value common stock for $450,000. Which of the following is the correct journal entry to record this transaction? A person wishes to convey any and all interests in a property to another without making any assurances as to encumbrances, liens, or any other title defects on the property. This party would most likely use which of the following types of deed? Which of the following sites is not one of the New Seven Wonders of the World?Great Wall of ChinaTaj Mahal, IndiaThe Western Wall, IsraelPetra, Jordan Which of the following is true of the learning phase of Web site production? It orients the designer to consider how audiences will use the Web site and where they will access it. It involves seeking information from clients about what they want in a Web site. The wireframe is developed to look like the final product, often in Photoshop or some other graphics program. The template is transformed into a working Web site. The completed and approved site is launched into the world. Steam Workshop Downloader