Can someone help me with this math homework please!

Can Someone Help Me With This Math Homework Please!

Answers

Answer 1

Answer:

(B) h is the function name; t is the input, or independent variable; and h(t) is the output, or dependent variable.

Step-by-step explanation:

You've probably seen this function notation format before, most likely f(x). Other common ones are g(x) and p(x). The f, g, and p are just function names, like the h in this question.

The t in the parentheses is the input, because it's the same as the t in 210 - 15t.

Together, h(t) is the output, which is the exact same as y if you used the formula y = mx + b.

Hope it helps (●'◡'●)


Related Questions

2+2

f re e
points or whatever

Answers

Answer:

2+2 = 4

Step-by-step explanation:

Hope this helps.

Answer:

2 + 2 is 4 my guy

Step-by-step explanation:

thx for the points

Peter’s father told peter to buy four-tenths of a pound of chili powder. Each package is marked with its weight. What package should Peter guy?

Answers

Answer:

The weight of the package of chili powder is 181.44 g.

Step-by-step explanation:

Amount of chili powder = 4/10 pound

1 pound = 453.6 g

So,

4/10  pound = 4/10 x 453.6 = 181.44 g

The weight of the package of chili powder is 181.44 g.  

[tex]\text{Solve for 'x'.}\\\\3x + 15 = 33\\\\\\text{Thank you.}[/tex]

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]x=6[/tex]

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Solving for 'x'...}}\\\\3x + 15 = 33\\--------------\\\rightarrow 3x + 15 - 15 = 33 - 15\\\\\rightarrow 3x = 18\\\\\rightarrow \frac{3x=18}{3}\\\\\rightarrow \boxed{x = 6}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

x=6

Step-by-step explanation:

3x+15=33

or as, 3x=33-15

or as, 3x=18

x=18/3=6

so we got 6 is the answer

As part of the math assignment, jane makes a graph pf her cookie function. Before handling it in, she compares it to the table. Do the table and the graph represent the same function

Answers

Answer:No

Step-by-step explanation:

Find z

Help me please

Answers

Answer: z=56

Step-by-step explanation:

Based on the figure, we can determine that 3y+8=68 and 4x=2z. With the knowledge that a trapezoid has 360°, we can first find the value of y to get the angle measures of the top angles. We can then subtract that from 360°.

3y+8=68        [subtract both sides by 8]

3y=60            [divide both sides by 3]

y=20

We now know the value of y is 20, but that is not relevant to solving this problem because we already know that the top angles are 68° each. So, we can subtract that from 360.

360-68-68=224

Now, we know that the bottom 2 angles have to add up to 224. Therefore, we can come up with 2 equations.

Equation 1: 4x=2z

Equation 2: 4x+2z=224

We can manipulate Equation 1 to be [tex]x=\frac{1}{2}z[/tex]. Once we plug that into Equation 2, we can find the value of z.

[tex]4(\frac{1}{2} z)+2z=224[/tex]         [multiply]

[tex]2z+2z=224[/tex]              [add]

[tex]4z=224[/tex]                      [divide both sides by 4]

[tex]z=56[/tex]

Now, we know that z=56.

The volume of a cuboid is 975cm3.
The length is 15cm and the width is 130mm.
Work out the height of the cuboid in cm

Answers

Answer:

Solution given:

Volume of cuboid=975cm³

length[l]=15cm

width[w]=130mm=13cm

height [h]=?

we have:

Volume of cuboid=l*w*h

975=15*13*h

h=[tex]\frac{975}{195}=5cm[/tex]

The height of the cuboid is 5cm.

How do I do this problem?

Answers

Step-by-step explanation:

here is the answer to your question

Answer:

Step-by-step explanation:

I would start from the beginning and find the slope myself, just so I know what's going on (as opposed to being dropped in the middle of the problem). The slope formula is:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] and for us:

[tex]m=\frac{5-3}{4-3}=2[/tex] so the slope is indeed 2. Now we need to write the equation in slope-intercept form. I find it easier to first write the equation in point-slope form and then solve it for y. Point-slope form is

[tex]y-y_1=m(x-x_1)[/tex] where m is the slope (2) and x1 and y 1 are from one of the coordinates (whichever one you want; as long as you do the math correctly, you will NOT get an incorrect answer. In other words, you can't pick the "wrong" point to use to write the equation.) I'm going to use (3, 3):

y - 3 = 2(x - 3) and

y - 3 = 2x - 6 and

y = 2x - 6 + 3 so

y = 2x - 3 and that's your equation. Of course, you will enter a (-3) in that box with the ? in it.

For two complementary angles find x. The first angle is 4x+9. The second angle is 2x+27

Answers

Hope this helps u
Gud luck

Answer:

x = 9

Step-by-step explanation:

When sum of two angles is 90, then they are known as complementary angles.

4x + 9  + 2x + 27 = 90

4x + 2x + 9 + 27 = 90

Combine like terms

6x + 36 = 90

Subtract 36 from both sides

6x = 90 - 36

6x = 54

Divide both sides by 6

x = 54/6

x = 9

Write in the form a to the power of k, where a is a prime number and k is rational
[tex]\sqrt[4]{27}[/tex]

Answers

Answer:

[tex]{ \tt{27 = {3}^{3} }} \\ { \tt{}} \sqrt[4]{27} = {27}^{ \frac{1}{4} } \\ { \tt{ = {3}^{3( \frac{1}{4}) } }} \\ = { \tt{ {3}^{ \frac{3}{4} } }} \\ { \boxed{ \bf{a = 3 \: \: and \: \: k = \frac{3}{4} }}}[/tex]

A florist has to pay $7.50 each time a customer chooses a competitor for the delivery of flowers. Which expression
shows the amount that the florist earns if p people use a competitor for delivery, and the company makes $320.00
before any payment is made to their competitors?
0 320-7.500
0 320+ 7.500
7500-320
07500 + 320 help!

Answers

320-7.50p is the correct answer :D

Answer:

320-7.500

Step-by-step explanation:

What is the value of x in the equation??????
.
15 points!!
Please hurry :) ​

Answers

Answer:

-8

Step-by-step explanation:

What
Is the volume of this object

Answers

Answer:

100

Step-by-step explanation:

5x4=20

20x5=100

If you times the length by with: 5x4 you get 20. Then you multiply 20x5 then you get your volume: 100

pls help:( algebra 1 btw


17(2 + 12g) + 14

Answers

Answer:

204g + 48

Step-by-step explanation:

simplifying the expression

Answer: 204g+48


Step 1: Rewrite equation

To start off, let’s rewrite the equation to better understand the problem we are working with.

17(2+12g)+14

Step 2: Distribute

In this type of equation, we will not find an exact answer. Rather, we will simplify the equation by distribution and combining like terms. Let’s start by distributing. To do so, multiply the numbers outside of the parentheses with the numbers on the inside of the parentheses. This will be 17•2 and 17•12g. Let’s do so now.

17(2+12g)+14
34+204g+14

Step 3: Combine like terms

As the final step, we need to combine like terms. This means we add/subtract terms that share the same variable, or lack of. In this case, we need to add 34 and 14 together. Let’s do this now.

34+204g+14
204g+48

This is your final answer. 204g+48 is the new equation. Hope this helps! Comment below for more questions.

what is the answer to this?

Answers

Answer:

any number

Step-by-step explanation:

It is because all real numbers are solutions to this

Answer:

x = infinite solutions

Step-by-step explanation:

[tex]\frac{2}{3}(6x+ 3) = 4x + 2\\\\\frac{12}{3}x + \frac{2 \times 3}{3} = 4x + 2\\\\4x + 2 = 4x + 2 \\\\Which\ is \ true \ for \ all \ values \ of \ x.[/tex]

La potencia que se obtiene de elevar a un mismo exponente un numero racional y su opuesto es la misma verdadero o falso?

Answers

Answer:

Falso.

Step-by-step explanation:

Sea [tex]d = \frac{a}{b}[/tex] un número racional, donde [tex]a, b \in \mathbb{R}[/tex] y [tex]b \neq 0[/tex], su opuesto es un número real [tex]c = -\left(\frac{a}{b} \right)[/tex]. En el caso de elevarse a un exponente dado, hay que comprobar cinco casos:

(a) El exponente es cero.

(b) El exponente es un negativo impar.

(c) El exponente es un negativo par.

(d) El exponente es un positivo impar.

(e) El exponente es un positivo par.

(a) El exponente es cero:

Toda potencia elevada a la cero es igual a uno. En consecuencia, [tex]c = d = 1[/tex]. La proposición es verdadera.

(b) El exponente es un negativo impar:

Considérese las siguientes expresiones:

[tex]d' = d^{-n}[/tex] y [tex]c' = c^{-n}[/tex]

Al aplicar las definiciones anteriores y las operaciones del Álgebra de los números reales tenemos el siguiente desarrollo:

[tex]d' = \left(\frac{a}{b} \right)^{-n}[/tex] y [tex]c' = \left[-\left(\frac{a}{b} \right)\right]^{-n}[/tex]

[tex]d' = \left(\frac{a}{b} \right)^{(-1)\cdot n}[/tex] y [tex]c' = \left[(-1)\cdot \left(\frac{a}{b} \right)\right]^{(-1)\cdot n}[/tex]

[tex]d' = \left[\left(\frac{a}{b} \right)^{-1}\right]^{n}[/tex]y [tex]c' = \left[(-1)^{-1}\cdot \left(\frac{a}{b} \right)^{-1}\right]^{n}[/tex]

[tex]d' = \left(\frac{b}{a} \right)^{n}[/tex] y [tex]c = (-1)^{n}\cdot \left(\frac{b}{a} \right)^{n}[/tex]

[tex]d' = \left(\frac{b}{a} \right)^{n}[/tex] y [tex]c' = \left[(-1)\cdot \left(\frac{b}{a} \right)\right]^{n}[/tex]

[tex]d' = \left(\frac{b}{a} \right)^{n}[/tex] y [tex]c' = \left[-\left(\frac{b}{a} \right)\right]^{n}[/tex]

Si [tex]n[/tex] es impar, entonces:

[tex]d' = \left(\frac{b}{a} \right)^{n}[/tex] y [tex]c' = - \left(\frac{b}{a} \right)^{n}[/tex]

Puesto que [tex]d' \neq c'[/tex], la proposición es falsa.

(c) El exponente es un negativo par.

Si [tex]n[/tex] es par, entonces:

[tex]d' = \left(\frac{b}{a} \right)^{n}[/tex] y [tex]c' = \left(\frac{b}{a} \right)^{n}[/tex]

Puesto que [tex]d' = c'[/tex], la proposición es verdadera.

(d) El exponente es un positivo impar.

Considérese las siguientes expresiones:

[tex]d' = d^{n}[/tex] y [tex]c' = c^{n}[/tex]

[tex]d' = \left(\frac{a}{b}\right)^{n}[/tex] y [tex]c' = \left[-\left(\frac{a}{b} \right)\right]^{n}[/tex]

[tex]d' = \left(\frac{a}{b} \right)^{n}[/tex] y [tex]c' = \left[(-1)\cdot \left(\frac{a}{b} \right)\right]^{n}[/tex]

[tex]d' = \left(\frac{a}{b} \right)^{n}[/tex] y [tex]c' = (-1)^{n}\cdot \left(\frac{a}{b} \right)^{n}[/tex]

Si [tex]n[/tex] es impar, entonces:

[tex]d' = \left(\frac{a}{b} \right)^{n}[/tex] y [tex]c' = - \left(\frac{a}{b} \right)^{n}[/tex]

(e) El exponente es un positivo par.

Considérese las siguientes expresiones:

[tex]d' = \left(\frac{a}{b} \right)^{n}[/tex] y [tex]c' = \left(\frac{a}{b} \right)^{n}[/tex]

Si [tex]n[/tex] es par, entonces [tex]d' = c'[/tex] y la proposición es verdadera.

Por tanto, se concluye que es falso que toda potencia que se obtiene de elevar a un mismo exponente un número racional y su opuesto es la misma.

the solution of the quadratic equation x square - 4 x + 4​

Answers

Answer:

[tex]\rm x = 2 , 2 [/tex]

Step-by-step explanation:

A quadratic equation is given to us and we need to find the solution of the equation. The given equation is ,

[tex]\implies x^2 -4x + 4 = 0 [/tex]

Now for finding the roots of the equation , let's use the quadratic formula , or by factorising out the equation . Here I would be using the factorization method , as ,

[tex]\implies x^2 -4x + 4 = 0\\\\\implies x^2-2x-2x+4 = 0 \\\\\implies x(x-2) -2(x-2) = 0 \\\\\implies (x-2)(x-2) = 0 \\\\\implies x = 2, 2 [/tex]

Hence the Solution of the equation is 2,2.

Answer:

Step-by-step explanation:

x² - 4x  +4 = 0

Factorization method:

Sum = -4

Product = 4

Factor = (-2) ; (-2)    {-2 * -2 = 4  & (-2) + (-2) = -4}

x² -4x + 4 = 0

x² - 2x - 2x  + (-2)*(-2) = 0

x(x - 2) - 2 (x - 2) = 0

(x - 2) (x - 2) = 0

x - 2 = 0  or x -2 = 0

 x = 2      or x = 2

x = 2 , 2

Twenty-seven minus of a number (x) is not more than 36. What is the number?
A.
x > 42
B.
x ≥ -6
C.
x < 3
D.
x ≤ -6

Answers

Answer:

D

Step-by-step explanation:

dfjhygcftujnnbiijjhfsrfhhhuu

How do I simplify the expression

Answers

ANSWER: ab√3ac

Is this enough for you ?

Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form.
19,10,1,...

Answers

[tex]\displaystyle\bf \underbrace{19}_910{\underbrace{1}_9} \Longrightarrow This\: is \:an \:\:arithmetic\:\: progression[/tex]

HELP ASAP 10 POINTS AND BRAINLIST

Answers

Step-by-step explanation:

hope it helps you...........

The vertices of a triangle are P(-6,1), Q(-2,-5) and R(8,1).

Find the equation of the perpendicular bisector of the side QR

Answers

Answer:

Step-by-step explanation:

Find the slope of QR. From that we can find the the slope of the line perpendicular to QR.

Q(-2, -5)   & R(8,1)

[tex]Slope \ = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{1-[-5]}{8-[-2]}\\\\=\frac{1+5}{8+2}\\\\=\frac{6}{10}\\\\=\frac{-3}{5}[/tex]

So, the slope of the line perpendicular to QR =  -1/m - 1÷ [tex]\frac{-5}{3} = -1*\frac{-3}{5}=\frac{3}{5}[/tex]

Bisector of QR divides the line QR to two half. We have find the midpoint of QR.

Midpoint = [tex](\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})[/tex]

               [tex]=(\frac{-2+8}{2},\frac{-5+1}{2})\\\\=(\frac{6}{2},\frac{-4}{2})\\\\=(3,-2)[/tex]

slope = 3/5  and the required line passes through (3 , -2)

y - y1 = m(x-x1)

[tex]y - [-2] = \frac{3}{5}(x - 3)\\\\y + 2 = \frac{3}{5}x-\frac{3}{5}*3\\\\y=\frac{3}{5}x-\frac{9}{5}-2\\\\y=\frac{3}{5}x-\frac{9}{5}-\frac{2*5}{1*5}\\\\y=\frac{3}{5}x-\frac{9}{5}-\frac{10}{5}\\\\y=\frac{3}{5}x-\frac{19}{5}[/tex]

What are the coordinates of the terminal point for 0 = 4pi/3

Answers

Answer:

I hope this helps. There is a link

b

So what is that distance well we know that to get to negative 4 pi over 3 we took negative pi and travelled pi over 3.. So this is just pi over 3.. So our reference angle would be pi over 3.

Step-by-step explanation:

I need the answer ASAP anyone could help me please

Answers

Answer:

Is it the answer is C?

2+4+3+5+1=15

You want to add each persons total marbles together. So you have… 2 (Ray) + 4 (Ann) + 3 (Roy) + 5 (Zoie) + 1 (Raj) = 15 (total)

Answer: (C) 15

10-
10
A. Exponential growth
B. Linear increasing
C. Exponential decay
D. Linear decreasing

Answers

it’s c i know bc i had the question

Apply the distributive property to create an equivalent expression.
\dfrac15(15+10k) =
5
1

(15+10k)=start fraction, 1, divided by, 5, end fraction, left parenthesis, 15, plus, 10, k, right parenthesis, equals

Answers

Answer:

3 + 2k

Step-by-step explanation:

Given:

1/5(15 + 10k)

= (1/5 * 15) + (1/5 * 10k)

= (1 * 15)/5 + (1 * 10k)/5

= 15/5 + 10k/5

= 3 + 2k

Therefore,

1/5(15 + 10k) = 3 + 2k

The equivalent expression is 3 + 2k

A cable 45 m long runs from the top of a utility pole to a point on the ground 40 m from the base of the pole. How tall is the utility pole, to the nearest tenth?
20.6 m


85 m


5 m


60.2 m

Answers

Answer:

20.6 m

Step-by-step explanation:

Hi there!

Assuming that the utility pole makes a 90-degree angle with the ground, this scenario creates a right triangle.

The 45 m-long cable is the hypotenuse and the 40 m between the base of the pole and the cable is one of the legs.

We must solve for the height of the utility pole, which is essentially the other leg of the right triangle.

We can use the Pythagorean theorem: [tex]a^2+b^2=c^2[/tex] where a and b are the legs and c is the hypotenuse

Plug in the known information (leg=40, hyp=45)

[tex]40^2+b^2=45^2\\1600+b^2=2025\\b^2=2025-1600\\b^2=425\\b=20.6[/tex]

Therefore, when rounded to the nearest tenth, the height of the utility pole is 20.6 m.

I hope this helps!

6. In a toy factory, 200 wooden closed cylinders of diameter 35 mm and height 7 cm have to be painted. What is the total surface area, in cm², that needs to be painted? (Take pi to be 3.142.)

7. A tank in the shape of a cylinder of diameter 2.4 m and height 6.4 m contains oil to the brim. Find the number of complete cylindrical containers of base radius 8.2 cm and height 28 cm which can be filled by the oil in the tank.

Please help with the 2 questions. thank you!!
Unhelpful answer will be deleted ❌

Correct answer + with explanation will be chosen as the Brainliest Answer ✅​​​​​

Answers

Answer:

4,895 containers

Step-by-step explanation:

The number of the wooden closed cylinders to be painted, n = 200

The diameter of each cylinder, d = 35 mm = 3.5 cm

The height of each cylinder, h = 7 cm

The surface area of each closed cylinder, A = 2·π·d²/4 + 2·π·(d/2)·h

Where, π = 3.142, we get;

A = 2 × 3.142 × 3.5²/4 + 2 × 3.142 × (3.5/2) × 7 = 96.22375

The surface area of each cylinder, A = 96.22375 cm²

The total surface area, [tex]A_T[/tex] = n × A

∴ [tex]A_T[/tex] = 200 × 96.22375 = 19,244.75

The total surface area that needs to be painted, [tex]A_T[/tex] = 19,22375 cm²

7. The base diameter of the tank, d₁ = 2.4 m = 240 cm

The height of the tank, h₁ = 6.4 m = 640 cm

The base radius of each cylinder container, r = 8.2 cm

The height of each cylindrical container, h₂ = 28 cm

The number of cylindrical containers which can be filled by the oil in the tank, n, is given as follows;

n = (The volume of the tank)/(The volume of a cylinder)

The volume of the tank, V₁ = π·(d²/4)·h₁

∴ V₁ = π × (240²/4) × 640 = 9216000·π

The volume of the tank, V₁ = 9216000·π cm²

The volume of a cylinder, V₂ = π·r²·h₂

∴ V₂ = π × 8.2² × 28 = 1,882.72·π

The volume of a cylinder, V₂ = 1,882.72·π cm²

The number of containers, n = 9216000·π/1882.72·π ≈ 4,895.045

Therefore, the number of complete cylindrical containers that can be filed by the oil in the tank, n = 4,895 containers

Answer:

6) About 19,244.75 square centimeters.

7)  About 4895 containers.

Step-by-step explanation:

Question 6)

We need to paint 200 wooden closed cylinders of diameter 35 mm and height 7 cm. And we want to find the total surface area that needs to be painted.

First, since the diameter is 35 mm, this is equivalent to 3.5 cm.

The radius is half the diameter, so the radius of each cylinder is 1.75 cm.

Recall that the surface area of a cylinder is given by the formula:

Where r is the radius and h is the height.

Therefore, the surface area of a single cylinder will be:

Then the total surface area for 200 cylinders will be:

Question 7)

We know that the tank has a diameter of 2.4 m and a height of 6.4 m.

Since its diamter is 2.4 m, then its radius is 1.2 m.

Find the total volume of the tank. The volume for a cylinder is given by:

Since r = 1.2 and h = 6.4:

Each container has a base radius of 8.2 cm and a height of 28 cm.

So, the radius of each container is 0.082 m and the height is 0.28 m.

Then the volume of each container is:

Then to find the number of containers that can be filled by the tank, we can divide the two values. Hence:

100 x 77 + 72 ÷ 4 = ? (RIGHT ANSWER GETS BRAINLIEST)

Answers

Step-by-step explanation:

100*77+72/4

100*77+18

7700+18

7718

Answer:

Step-by-step explanation:

54 ×100=5400

5400+77=5477

5477÷2 = 2738.5

Help and explain !!!!( Solve using the substitute method )

Answers

Answer:

x=13

y= -9

(13, -9)

Step-by-step explanation:

If we are solving using the substitution method, we can take the first equation and set it to y so y=4-x.

Then, we can take that equation and plug it into the bottom one so

3x+4(4-x)=3

Simplify:

3x+16-4x=3

-x=-13

x=13

We can then plug 13 into any of the two given equations (I am just going to plug it into the top one)

So, 13+y=4 which y= -9

What’s the equation of the line that passes through the point (5,1) and has a slope of 1

Answers

Answer:

y = x + 4

Step-by-step explanation:

y = mx + b

y = 1x + b

5 = 1 + b

b = 4

y = x + 4

Other Questions
A fight happened between two people in your school, narrate what happened to your teacher PLEASE HELP !!!!! Which type of conic section is described by the following equation?(y - 3)2/4^2- (x+2)^2/6^2=1A. CircleB. Parabola that opens upC. Parabola that opens downU OD. Hyperbola opening left and rightE. EllipseE Hyperbola opening up and dow A man borrows $800 for 2 years at a simple interest rate of 20%. What is the total amount that must be repaid Find three consecutive odd integers whose sum is -213. THE HUNCH BACK OF NOTRE DAME *Sounds/Music *Gestures/Movements* Costume/Makeup/Accessories *Props *Performance Offering direct online sales to consumers while also promoting wholesale and retail sales can result in Multiple select question. cannibalization of retailers' sales. a net loss of sales due to disgruntled dealers. a signal of the company's strong commitment to retailers. channel conflict. 7. Explain the difference between an ionic compound and a molecule, on an atomiclevel (that is, describe what is happening with the atoms that makes these compoundsdifferent) what is the length of segment QV ?, NO LINKS. Simplify by expressing fractional exponents instead of radicals. ou are bringing together faculty from different behavioral disciplines to author a new textbook in organizational behavior. Represented are professors from psychology, sociology, social psychology, anthropology, political science, and industrial engineering. You should expect that the faculty member from ________ will probably contribute information about large-scale group behavior. psychology social psychology anthropology industrial engineering sociology You should avoid all of the following topics except. . . Topics that are controversial. Topics on a single source. Topics that are trivial. Topics that are contemporary. Suppose X has a normal distribution with mean 10.0 and standard deviation 5.0 what is the P(2.0 Question 2 Choose one of the territories mentioned on the map above. In one to two paragraphs, explain in detail how the territory was acquired, which country the United States dealt with to acquire the land, and why the United States would have wanted to own that area. Conduct research to support your explanation. Write a decimal number that is equivalent to 12 hundredths. You are stowing items and come across an aerosol bottle of hairspray. What should you do? Please choose all that apply classify each of the following solids as ionic,metallic, molecular, network (covalent)or amorphous?1) Tetra phosphorous deicide(P4O10)2)Graphite3) Ammonium phosphate (NH4)3po44) Brass5)SiC6)Rb7)l28)LiBr9)P410) Plastic11)Si Dake Corporation's relevant range of activity is 2,300 units to 5,500 units. When it produces and sells 3,900 units, its average costs per unit are as follows: Average Cost per UnitDirect materials $ 6.80Direct labor $ 4.00Variable manufacturing overhead $ 1.55Fixed manufacturing overhead $ 2.50Fixed selling expense $ 1.15Fixed administrative expense $ 0.85Sales commissions $ 0.95Variable administrative expense $ 0.85If 2,900 units are produced, the total amount of direct manufacturing cost incurred is closest to:a. $39,875b. $31,320c. $35,815d. $43,065 Read the passage from chapter 17 of The Prince.Coming now to the other qualities mentioned above, I say that every prince ought to desire to be considered clement and not cruel. Nevertheless he ought to take care not to misuse this clemency. Cesare Borgia was considered cruel; notwithstanding, his cruelty reconciled the Romagna, unified it, and restored it to peace and loyalty. And if this be rightly considered, he will be seen to have been much more merciful than the Florentine people, who, to avoid a reputation for cruelty, permitted Pistoia to be destroyed. Therefore a prince, so long as he keeps his subjects united and loyal, ought not to mind the reproach of cruelty; because with a few examples he will be more merciful than those who, through too much mercy, allow disorders to arise, from which follow murders or robberies; for these are wont to injure the whole people, whilst those executions which originate with a prince offend the individual only.How does the repetition of the words cruel and cruelty affect the tone of the paragraph? ANSWER ASAPPPP I WILL GIVE BRAINLIEST AND DROP POINTS AFTERThe function f(t) = t2 + 4t 14 represents a parabola.Part A: Rewrite the function in vertex form by completing the square. Show your work. (6 points)Part B: Determine the vertex and indicate whether it is a maximum or a minimum on the graph. How do you know? (2 points)Part C: Determine the axis of symmetry for f(t). (2 points)(10 points) what do you understand by socialization