If f(x) = 3x² - x, find f{-3, 0, 3}

Answers

Answer 1

Step-by-step explanation:

so pretty much replace -3, 0 and 3 into the equation

-3 to the power of 2 is 9 and 9(3) is 27. 27-(-3) is 27+3, 30

0 squared is 0 so the 2nd one would be 0

3 squared times 3 is 27 and subtracted by 3 is 24.


Related Questions

PLEASE HELP ME! i have been trying for hours

Answers

Step-by-step explanation:

The 3 possible solutions for the inequality.

Add (or subtract) a number from both sides. Multiply (or divide) both sides by a positive number. Simplify a side

try this to get your answer

answer

b5

Step-by-step explanation:

If b = 3, then the inequality becomes 17 ≥ 2(3) or 17 ≥ 6, which is true.

If b = 6, then the inequality becomes 17 ≥ 2(6) or 17 ≥ 12, which is not true.

If b = 2, then the inequality becomes 17 ≥ 2(2) or 17 ≥ 4, which is true.

If b = 5, then the inequality becomes 17 ≥ 2(5) or 17 ≥ 10, which is true.

Therefore, the solutions to the inequality 17 ≥ 2b are b = 3, b = 2, and b = 5.

8x + 38 = -3(-6 - 4x)

Answers

Answer:

x=5

Step-by-step explanation:

step one: distribute to get rid of parentheses. this means multiplying -3 by the numbers inside of the parentheses next to it.

-3(-6)= 18 and -3(-4x)=12x

this makes the equation now 8x+38=18+12x

step two: move x to one side of the equation. we can do this by using inverse operations, so we're going to subtract 8x from both sides.

8x-8x=0, 12x-8x= 4x.

this makes the equation now 38=18+4x

step three: isolate x. this means getting rid of the 18. to do this, we are going to use inverse operations again. this means subtracting 18 from both sides.

18-18=0, 38-18=20.

this makes the equation now 20=4x

step four: divide to get x by itself. we don't want to know what 4x is, we just want to know what plain x is. so we're going to use inverse operations for the last time and divide both sides by 4 because 4x is the same thing as saying "four times x"

20/4= 5, 4x/4=x

this makes the equation now 5=x

that's your answer, x=5. hope this helped!

Need help due tomorrow please

Answers

im here to help no need to worry ofcourse you must carry the 2 which leaves you with 69

Mrs. Valdez is looking at a graph that shows a line drawn between two points with a slope of -5.
One of the points is smudged and she cannot read it. The points as far as she can tell are (3,5) and
(x, 10). What is the value of x? Show all of your work!

Answers

the value for x = 2

the explanation is above

i hope i helped

Rewrite the decimal fraction as a decimal number. 14 25 100 ​

Answers

The decimal fraction as a decimal number.14,25

What is decimal?

The base-10 number system, arguably the most widely used number system, is referred to as decimal. The 10 single-digit digits of the decimal number system are 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. The number following nine is 10. 19 is followed by 20, and so on.

The accepted method for representing both integer and non-integer numbers is the decimal numeral system. It is the expansion of the Hindu-Arabic numeral system to non-integer values. Decimal notation is the term used to describe the method of representing numbers in the decimal system.

14 25/100= 14*100+25/100=

1400+25/ 100

= 1425/100

= 14.25

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Consider these functions:
f(x)=-1/2x² + 5x
g(x)=x² + 2
What is the value of f(g(-2))?
O A. -28
OB.
O C. 12
O D.
-12
146

Answers

[tex]f(x)=-\cfrac{1}{2}x^2 + 5x\hspace{13em}g(x)=x^2+2 \\\\[-0.35em] ~\dotfill\\\\ g(-2)=(-2)^2+2\implies g(-2)=4+2\implies g(-2)=6 \\\\[-0.35em] ~\dotfill\\\\ f(~~g(-2)~~)\implies f(6)\implies f(6)=-\cfrac{1}{2}(6)^2+5(6) \\\\\\ f(6)=-\cfrac{36}{2}+30\implies f(6)=-18+30\implies \stackrel{f(~~g(-2)~~)}{f(6)}=12[/tex]

Help me please I really need a fast answer because I don’t get the question please help me out!

Answers

The Answer is

D) x=3 and x=-4

Answer: it D

x=3 and x=-4

A random ample of 18 ize AA batterie for toy yield a mean of 2. 76 hour with tandard deviation, 1. 03 hour. (a) Find the critical value, t*, for a 99% CI. T* =

(b) Find the margin of error for a 99% CI

Answers

Therefore the solution of this problem is a)critic value t = 2.8982 b)margin of error=  2.985146

What is standard deviation?

In statistics, the standard deviation measures how widely distributed or how much a set of values might vary. In contrast to a high standard deviation, which indicates that values are widely dispersed, a low standard deviation indicates that values are typically close to the set's mean.

Here ,

where s is the sample's standard deviation

Finding the number of degrees of freedom is the first step in solving this problem. The sample size has been reduced by 1.

So

df = 18 - 1 = 17

99% confidence interval

We must now determine the value of T, which can be done by consulting the t table, which has 17 degrees of freedom (on the y-axis) and a confidence level of).

[tex]1 - \frac{1-0.99}{2} =0.995[/tex]

So we have T = 2.8982.

The margin of error is:

M = T*s = 2.8982*1.03 = 2.985146

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Evaluate (7.62 × 105) – (8.1 × 103). Express the result in scientific notation.

Answers

The value of the expression in the form of the scientific notation is 7.539 x 10⁵.

What is a scientific notation?

Numbers that are either too large or too little to be conveniently stated in decimal form can be expressed using scientific notation. It may be called scientific form.

When a number is written using only the digits of the number, that is considered standard notation. Since words are not used in conventional number notation, this is the way that numbers are typically written.

The expression is (7.62 × 10⁵) – (8.1 × 10³). The expression will be solved as,

E = (7.62 × 10⁵) – (8.1 × 10³)

E = (7.62 × 10⁵) – (0.081 × 10⁵)

E = 7.539 x 10⁵

Therefore, the value of the expression in the form of the scientific notation is 7.539 x 10⁵.

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Q is the midpoint of PR. If QR = x + 9 and PR = 3x + 9, what is PR?

Answers

Therefore, as per the solution from the linear equation in one variable, the line segment PR is 9 units.

What is a linear equation in one variable?

A linear equation in one variable is one that is written in the form ax + b = 0, where a, and b are real numbers and the coefficients of x and constant, i.e. a and b, are not equal to zero.

Given :

PR is a line.

Q is the midpoint of PR. So PQ = PR.

QR = x + 9

PR = 3x + 9

According to the question, verification is

PQ = PR

X + 9 = 3x + 9

3x – x = 9 - 9

2x = 0

x = 0

Therefore, as PQ = PR

x + 9 = 3x + 9

0 + 9 = 0(3) + 9

     9 = 9

  PR = 3(0) + 9

  PR = 0 +  9

  PR = 9

Therefore, as per the solution from the linear equation in one variable, The line segment PR is 9 units.

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Therefore, as per the solution from the linear equation in one variable, the line segment PR is 9 units.

What is a linear equation in one variable?

A linear equation in one variable is one that is written in the form ax + b = 0, where a, and b are real numbers and the coefficients of x and constant, i.e. a and b, are not equal to zero.

Given :

PR is a line.

Q is the midpoint of PR. So PQ = PR.

QR = x + 9

PR = 3x + 9

According to the question, verification is

PQ = PR

X + 9 = 3x + 9

3x – x = 9 - 9

2x = 0

x = 0

Therefore, as PQ = PR

x + 9 = 3x + 9

0 + 9 = 0(3) + 9

    9 = 9

 PR = 3(0) + 9

 PR = 0 +  9

 PR = 9

Therefore, as per the solution from the linear equation in one variable, The line segment PR is 9 units.

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2=7(−2)+4 what is y?

Answers

Answer:

2

Step-by-step explanation:

y would be the first number in the equation on the left side of the equal sign. This looks lik the y=mx+b formula, so m, being slope, would be 7, -3 would be x, and b would be 4.

The answer to your problem is 2

Find the value of the expression 2xy(8x - 3y), when x = 2 and y = 4.

A 48
B 72
C 64
D 24

Answers

Answer:

C 64

Step-by-step explanation:

1. 2(2)(4)(8(2)-3(4))

2.2(8)(16-12)

3. 16(4)

4. 64

- 4(3/2 * x - 1/2) = - 15

Answers

Step by step process -4(3/2x-1/2)=-15

Answer
X=17/6

Answer:

2 5/6 OR 3

Step-by-step explanation:

1. Divide Both sides by four.

2. -15/-4 can be simplified to 15/4 by removing the negative sign from both the numerator and the denominator.

3. Add 1/2 to both sides

4. Least common multiple of 4 and 2 is 4. Convert 15/4 and 1/2 to fractions with the denominator 4.

5. Since 15/4 and 2/4 have the same denominator, add them by adding their numerators.

6. Add 15 and 2 to get 17.

7. Multiply each side by 2/3, the reciprocal of 3/2 (cancel out 3/2 and leave only X)

8. multiply 17/4 by 2/3 by multiplying numerator times numerator and denominator times denominator.

9. By doing the multiplications 17x2/4x3 you should get 34/12

10. Reduce the fraction 34/12 to lowest terms by extracting and cancelling out 2.

11. You should get 17/6.

Final Step: if you are asked for a mixed number, the answer is 2 5/6 OR if asked for a decimal, put 2.833333333 or 3 IF asked to round.

What is the unit rate per muffin if Anna chose to buy 15 for $6.15?​

Answers

Answer:

2.44$ per muffin

Step-by-step explanation:

15/6.15

The point (8, 36) is shown on the graph. Write an equation that represents this situation, where y
represents the amount of macaroni, in cups, and x represents the amount of cheese in cups.

Answers

The equation that represents this situation is y=  4x

How to determine the equation that represents this situation?

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

Point = (8, 36)

This point can be represented as

(x, y) = (8, 36)

From the above parameter, we can calculate the constant of variation

The constant of variation is calculated as

Constant of variation = y/x

Substitute the known values in the above equation

So, we have the following equation

Constant of variation = 36/8

Evaluate the quotient

Constant of variation = 4

Recall that:

Constant of variation = y/x

So, we have

y/x = 4

This gives

y = 4x

Hence, the equation is y = 4x

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how do you use equilateral and isosceles triangles to compute values of the trig functions at multiples of 30 and 45 degrees

Answers

Drawing an altitude and computing the side lengths of the resulting half triangle for an equilateral and isosceles triangle, would give the trigonometric functions for multiples of 30 and 45 respectively.

What is the significance of 30°-60°-90° and 45°-45°-90° right triangles?

In a 30°-60°-90° right triangle, the longer leg is [tex]\sqrt{3}[/tex] times longer than the shorter leg, and the hypotenuse is twice as long. In a 45°-45°-90° right triangle, sides opposite to the equal angles (45°) are equal and the hypotenuse is [tex]\sqrt{2}[/tex] times the other sides.

To find the trigonometric functions of multiples of 30°, first consider a equilateral triangle of, say, side-length 2. Draw an altitude for the triangle. Each of the half triangle are 30°-60°-90° right triangle. Clearly the base will be divided into 2 equal parts of length 1 each. Now using Pythagorean Theorem on one of the 30°-60°-90° right triangle, trigonometric functions for multiples of 30° could be obtained.

Draw x and y axis. Now take a length of , say , 2 in the x-axis and using a compass pointed at origin and mark the point on y axis with a length 2. Now join these points on x and y axis. A 45°-45°-90° isosceles right triangle with side-length 2 is obtained. Now using Pythagorean Theorem, trigonometric functions for multiples of 45° could be obtained.

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I really need to finish this

Answers

Answer:

A

Step-by-step explanation:

an open circle on a value means that x cannot equal that value

a closed circle on a value means that x can equal that value

from the number line

closed circle at - 3 means x can equal 3

open circle at 2 means that x cannot be equal to 2

all values between - 3 and 2 are solutions for x, then

x ≥ - 3 and x < 2 or - 3 ≤ x < 2

A triangle is shown with its exterior angles. Angles 2, 6, and 4 are the interior angles. Angle 1 is the exterior angle at angle 2. Angle 5 is the exterior angle at angle 6. Angle 3 is the exterior angle at angle 4.
Which statements are always true regarding the diagram? Check all that apply.

Answers

The answer to this Question based on Linear pair is 180 degree

What is Linear Pair?

A linear pair is a pair of adjacent angles that are supplementary, meaning they add up to equal 180 degrees. Linear pairs can be found in many shapes and geometric shapes, such as squares, rectangles, and parallelograms. Linear pairs can also be found in the angles of intersecting lines. When two lines intersect, four angles are formed, and two of them will always form a linear pair. Linear pairs can also be found in circles, as the angles formed by two chords that intersect with each other will always form a linear pair.

Suppose any triangle we are given 6 angles in which 3 are interior and 3 are exterior

suppose we take any pair of interior and exterior and we can see that it will always form a linear pair and its sum will be equal to 180 degree

Here in this question sum of angle 1 and 2

sum of angle 5 and 6

sum of angle 3 and 4

all will be same and will be equal to 180 degree by Linear Pair

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Answer:

a,b,c

Step-by-step explanation:

a) m∠3 + m∠4 = 180°

b) m∠2 + m∠4 + m∠6 = 180°

c) m∠2 + m∠4 = m∠5

these are the correct answers  for edge 2023 geometry assignment; Triangle Angle Theorems

hope this helps!

The amount of money that mary earns varies directly with the number of hours worked. If mary earns $320 for working 40 hours, determine the constant of variation.

Answers

The constant of variation when the amount of money that Mary earns varies directly with the number of hours is 8.

According to the question,

We have the following information:

The amount of money that Mary earns varies directly with the number of hours worked. And Mary earns $320 for working 40 hours.

Now, following expression can be used to express this relationship where y is the amount of money and x is the number of hours.

y = kx

320 = 40k

Dividing by 40:

k = 320/40

k = 8

Hence, the constant of variation when the amount of money that Mary earns varies directly with the number of hours is 8.

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elise walks diagonally from one corner of a square plaza to another. each side of the plaza is 505050 meters.what is the diagonal distance across the plaza?

Answers

The diagonal distance across the plaza is 70.7 meters

Given,

In the question:

Elise walks diagonally from one corner of a square plaza to another.

Each side of the plaza is 50meters.

To find the diagonal distance across the plaza.

Now, According to the question:

We have been given that Elise walks diagonally from one corner of a square plaza to another. Each side of the plaza is 50 meters.

Since we know that diagonal of a square is product of side length of square and [tex]\sqrt{2}[/tex]. So we will find diagonal of our given square plaza by multiplying 50 by [tex]\sqrt{2}[/tex] .

Diagonal distance across the plaza = 50 x  [tex]\sqrt{2}[/tex] .

We know that the value of  [tex]\sqrt{2}[/tex]  = 1.41421

Diagonal distance across the plaza = 50 x 1.41421

Diagonal distance across the plaza = 70.7105 ≈ 70.7

Hence, The diagonal distance across the plaza is 70.7 meters.

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The floor of a new planetarium will be a circle with a ​33- diameter. The material for the floor will cot ​$3. 86 per quare. If no material i wated when making the​ floor, how could you find how much the floor will​ cot? How much will the floor​ cot? Ue 3. 14 for

Answers

The cost of the circular floor is $3299.77.

The space a circle takes up in a two-dimensional plane is known as the area of the circle.

For measuring the area occupied by a circular field or plot, use the area of a circle formula. The area formula will allow us to determine how much cloth is required to completely cover a circular table, for example.

Area of circle = [tex]\pi r^{2}[/tex]

Given in question,

[tex]\pi[/tex] = 3.14

Diameter = 33

Radius = Diameter/2

           = 33/2

           = 16.5

Area = 3.14*16.5*16.5

        = 854.865 square

Cost per square = $3.86

Cost for 854.865 square = 3.86*854.865

                                         = 3299.78

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You deposit $6000 in an account earning 4% interest compounded monthly. How much will you have in the account in 5 years??

Only answer if you know ! Any other answers will be reported.

Answers

$7325.98  is the amount you have in the account in 5 years

How to calculate how much will you have in the account in 5 years?

Compound interest is the interest determined on the principal and the interest accumulated over the previous period.

Given that: You deposit $6000 in an account earning 4% interest compounded monthly.

Amount (A) = P(1+r)^t

Where P is the principal, r is the interest rate and t is the time

P = $6000, r =  4% / year = 4/12 = 1/3 % / month = 1/300 , t = 5 years = 5×12 = 60 months

A = P(1+r)^t

A = 6000(1 + 1/300)⁶⁰

A = $7325.98

Thus, you will have $7325.98  in the account in 5 years

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what is 7j + 5 - 8k when j = 0.5 and k = 0.25?

Answers

Answer: 6.5

Step-by-step explanation:

To perform this kind of exercise, it is necessary to replace the value indicated in each variable each time you find the variable in the equation.

Answer:

6.5

Step-by-step explanation:

Substitute the known variables into the equation

7(0.5) + 5 - 8(0.25)

Multiply: 3.5+5-2

Solve: 6.5

1. Write the equation of the parabola that contains these points (-2, -1), (-1, -6), (0, -7), (1, -4)

Answers

Answer:

(not a possible parabola)

Step-by-step explanation:

see the plot...

1 Select the statement that correctly describes the
solution to this system of equations.
18x-2y = -4
14x-y=-2
A.
There is exactly one solution at (2.0).
B. There is no solution.
C. There is exactly one solution at (0,-2).
D. There are infinitely many solutions.

Answers

The solution to the given system of equation has exactly one solution at (0,2).

Which property is used in elimination method?

The addition property of equality is used in the elimination technique to solve systems of linear equations.

What is elimination formula?

To create an equation in one variable using the elimination approach, you can either add or subtract the equations. To eliminate a variable, add the equations when the coefficients of one variable are in opposition, and subtract the equations when the coefficients of one variable are in equality.

Given pair of equations is

18x - 2y = -4  ....(i)

4x - y = -2    .....(ii)

To solve the equation apply elimination method.

Multiply equation (ii) by 2 and subtract it from (i):

18x - 2y = -4

8x - 2y = -4

(-)  (+)     (+)

_________

10x = 0

x = 0

Putting x = 0 equation (ii)

0 - y = -2

y = 2

So there is exactly one solution (0,2).

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The solution to the given system of equation has exactly one solution at (0,2).

Which property is used in elimination method?
The addition property of equality is used in the elimination technique to solve systems of linear equations.

What is elimination formula?

To create an equation in one variable using the elimination approach, you can either add or subtract the equations. To eliminate a variable, add the equations when the coefficients of one variable are in opposition, and subtract the equations when the coefficients of one variable are in equality.
Given pair of equations is
18x - 2y = -4  ....(i)
4x - y = -2    .....(ii)
To solve the equation apply elimination method.
Multiply equation (ii) by 2 and subtract it from (i):
18x - 2y = -4
8x - 2y = -4
(-)  (+)     (+)
_________
10x = 0
x = 0
Putting x = 0 equation (ii)
0 - y = -2
y = 2
So there is exactly one solution (0,2).

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1. There are 9 tables with 3 candles on each table in the dining hall.
Which expressions can be used to find the number of candles in the dining hall?

Answers

Answer:

3+3+3+3+3+3+3+3+3=27

Step-by-step explanation:

just add it together.

9x3 = 27
9 multiplied by 3 is 27

what is 1/12 simplified

Answers

Answer: it’s already in its simplest form

Step-by-step explanation:

Answer: The fraction [tex]\frac{1}{12}[/tex] is already at its simplest form.

Step-by-step explanation: Sorry if this isn't correct, hope this helps!

Rewrite the expression with rational exponents as a radical expression by extending the properties of integer exponents. Y to the one third power all over y to the one sixth power.

Answers

The expression [tex]$\frac{3^{\frac{1}{3}}}{3^{\frac{1}{6}}}$[/tex] represents [tex]$\sqrt[6]{3}$[/tex]as rational exponents as a radical expression.

What is an expression?

"An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation in it."

The given expression is:

[tex]$$\begin{aligned}& \frac{3^{\frac{1}{1}}}{3^{\frac{1}{6}}} \\& =3^{\frac{1}{3}-\frac{1}{6}} \\& =3^{\frac{1}{6}} \\& =\sqrt[6]{3}\end{aligned}$$[/tex]

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Angie drives a horse buggy in the park. She charges a flat rate for each ride.
Which graph could represent her earnings.

Answers

The graph of the proportional relationship that models Angie's earnings is given as follows:

Graph B.

What is a proportional relationship?

A proportional relationship is defined as follows:

y = kx.

Meaning that it is a special case of a linear function, with intercept of zero, meaning that it always passes through the origin.

Angie charges a flat rate for each ride, hence her total earnings are modeled by a proportional relationship.

From the graphs given by the image at the end of the answer, the only one that passes through the origin is graph B, hence graph B could represent her earnings.

Missing Information

The graphs are given by the image shown at the end of the answer.

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Using the artofstat.com website, click on Web Apps, Permutation Test.You should be on the tab at the top of the screen that says "Data Entry and Descriptive Stats." Make sure that it is selected. We are going to enter the data to run a permutation test to see if there is a difference in the mean amount of time spent on emails per day between in state and out of state students.
First select "Enter Your Own Observations".
Under Name of Group 1 enter: In state Students
Under Name of Group 2 enter: Out of state students.
Under Name of Response Variable enter: time.
Enter the below data under the heading "Enter observations for each group, separated by spaces, or copy & paste from spreadsheet:"
Group 1: In state students: 2 1 1 2 2 2 4 3 4 1 2 2 1
Group 2: Out of state students: 1 2 2 3 1 1 1 2 5 2 2 1 1
Make sure that the option "Select Test Statistic:" says "Difference of sample means".
The test statistic appears at the bottom of the screen.
What is the test statistic?

Group of answer choices

A. 0.0769
B. 0.7315
C. 2
D. 0.231

Answers

Correct P-value = 0.6386 approximately equal to 0.64.

What is Permutation Distribution?

The permutation test is a statistical technique that is becoming more popular for creating sample distributions (or sometimes called a randomization test). Similar to bootstrapping, a permutation test resamples the observed data to create the sampling distribution, or "permutation distribution," rather than assuming it.

Group 1 data(in state sudents):  2 3 3 6 2 1 1 5 3 2.5

Group 2 data(out of state sudents):1 2 2 1 2 1 4 3 9 1 12 5 2

Summary Statistics For Permutation Distribution:

Permutations Unique Values Mean St. Dev. Min Q1 Median Q3 Max

10,000 71 -0.0153 1.15 -2.91 -0.877 0.00769 0.804 3.37

Permutation Test:

Number of Permutations Test Statistic Observed Value Number of Permutations with (x1 - x2) As or More Extreme Than Observed Value Permutation     P-value

10,000 x1 - x2 -0.612 6,386 0.6386

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juliet has 9 cups of orange syrup. she adds 32 fluid ounces of water to the syrup in order to prepare juice. find the total number of cups in the mixture. What do you need to do to know what your fitness program needs to accomplish? A. Choose fitness activities. B. Learn exercise safety. C. Find time in your schedule. D. Define your goals. When a firm hires most of the available supply of a certain type of labor, its decision to employ more or fewer workers ______.Multiple choice question.affects the wage rate it pays to those workers.does not affect the wage rate it pays to those workers.has no effect on wages, because resources other than labor affect the wage rate it pays to workers.affects the interest rate it pays to those workers. A unicorn is racing a chinchilla. The chinchilla is one hundred feet a head of the unicornand running at a rate of 5.75 feet per second. The unicorn is running at a rate of 30 feetper second. Write an inequality that shows when the unicorn gets ahead of thechinchilla. PLEASE HELP! much thanks to who ever does answer ! A rectangular cardboard has dimensions as shown. The length of the cardboard can be found by dividing its area by its width. What is the length of the cardboard in inches?Rectangle with width labeled on the right, width equals 3 and 1 over 4 inches. Below the rectangle, it says, length equals question mark. Inside the rectangle, it says, area equals 21 and 2 over 3 square inches(3 points) a5 and 1 over 12 b6 and 2 over 3 c18 and 5 over 12 d56 and 1 over 3 If a coil of cable ,50m in length has a conductor resistance of 0. 275W,calculate the value for 800m of the same cable transposition may result in gene disruption as well as provide elements that can gene expression patterns. Which of the following is the correct sequence of structures that sound waves pass through on the way to the auditory nerve?A. cochlea, hammer, anvil, stirrup, eardrumB. hammer, eardrum, basilar membrane, cochleaC. hammer, anvil, stirrup, eardrum, cochleaD. inner ear, middle ear, cochlea, eardrumE. eardrum, hammer, anvil, stirrup, cochlea If 42 J of chemical energy in a battery places 7.0 C of negative charge at the negative terminal,leaving a deficit at the positive terminal, what is the potential difference between the negative andpositive terminals of the battery? Let f(x)=\sqrt(3x-9) and g(x)=3x^(2)-9A) what is the inverse of function f?b) is f an inverse of g? Please show all work (-1.9)/(-1.9)help me please Why is the sarcomere considered the basic functional unit of skeletal muscle?Question options:A) it extends the length of the muscle fiberB) it is an alternate name for the muscle cellC) it is the smallest portion capable of contractingD) it is NOT considered the basic functional unit of skeletal muscle Which one of the following options is usually an appealing way to try to increase a company's ROE?A) Maintaining a high (above 75%) dividend payout ratioB) Paying a minimal dividend (probably no more than $0.10 per share) so as to keep boosting retained earnings by a sizable amount every year.C) Issuing additional shares of stock and using the proceeds to retire long-term debt and avoid short-term loansD) Paying a dividend each upcoming decision round that exceeds projected EPS by $2.00E) Not paying a dividend and using all available cash to pay down debt. Density is a common physical property of substances that can give insight into the structure of the substance on the atom or molecular level. You are attempting to measure the thickness of a rectangular piece of aluminum found at a crime scene, but it is too thin for your ruler. You know density has units of g/mL, and you recall mL is the same as cm?. Sooo...why not use the volume of the metal, the length and height? to find the volume by water displacement, you lower the sample into a graduated cylinder with an initial volume of water of 32.9 ml. the volume of water rises to 48.1 ml. you also mass the sample and determine it to be 20.28 g. finally, you measure the length of the solid to be 6.5 cm and the height to be 5.1 cm. from this information determine the thickness of the metal rectangular solid(mm). Which object has a mass of 27 grams. If each object has an identical *volume of 3cm', which object has a mass of 27 grams At the beginning of the year, Juan had $60 in savings and saved an additional $15each week thereafter. Mila started the year with $40 and saved $20 every week. Let Jrepresent the amount of money Juan has saved t weeks after the beginning of theyear and let M represent the amount of money Mila has saved t weeks after thebeginning of the year. Graph each function and determine the number of weeks afterthe beginning of the year until Juan and Mila have the same amount of money saved. Let f(x)=x3 and g(x)=13x.Use the composition of functions to determine if f(x) and g(x) are inverse functions.Drag and drop the answers into the boxes to correctly complete each statement. In animals, nitrogenous wastes are produced mostly from the catabolism of 15 pts O triglycerides and steroids O fatty acids and glycerol. O proteins and nucleic acids. O phospholipids and glycolipids. O starch and cellulose. can someone help me out here,im a little confused.Three vertices of a square are A(1,2), B(4,2), and C(4,1).Plot all four vertices of the square.