What are the domain and range of g(x)= √x-3?

A. D: [3, ∞) and R: [0, ∞)
B. D: [–3, ∞) and R: [0, ∞)
C. D: (–3, ∞) and R: (–∞, 0)
D. D: (3, ∞) and R: (–∞, 0)

Answers

Answer 1

Answer:

I guess, A is the wanted answer, but

A and D together are the really correct answer.

Step-by-step explanation:

if I understand this correctly, then

g(x) = sqrt(x - 3)

the domain of a function is the definition of all valid x (input) values.

the range of a function is the definition of all valid y (result) values.

well, the content (the arguments) of a square root cannot be negative (at least not while dealing with real numbers).

so, the answer options B and D are automatically out, because the domain contains values that would make the arguments of the square root negative.

I guess your teacher wants to focus only on the positive results of the square root, so A is the correct number.

BUT formally, without designated restrictions, a square root has always 2 solutions : a positive and a negative one.

because (-x)² = (x)² = x².

so, I would have to say that the really correct answer is

A + D, because the range contains both, the positive and the negative numbers.


Related Questions

what fraction is equivalent to 5?

Answers

Answer:

5/1

Step-by-step explanation:

Which points are solutions to the system of inequalities shown below? Check all that apply.
y > x
y > 2
x > 4
A.(6, 4)
B.(9, -2)
C.(4, 2)
D.(9, 10)
E.(8, 1)
F.(5, 6)

Answers

Answer: D and F

Step-by-step explanation:

For the first inequality, we know that y>x, so this eliminates options A, B, C, and E. This means we only need to check D and F.

Both D and F have a y coordinate greater than 2 and an x coordinate greater than 4, so they are both correct.

Jose is 35 years old, and makes $40,000 per year. If he dies, how much would
the beneficiaries of his life insurance policy receive if they can get by on 75% of
his income?

Answers

The amount that the beneficiaries of his life insurance would receive would be $30000.

How to solve for the amount that would be received

The total amount of insurance is 40000

percentage  needed by beneficiaries on this amount = 75%

Hence 75% * 40000

= $30000

Therefore it can be concluded that the amount that the beneficiaries would require on 75% is $30000.

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A parking garage in Raleigh, NC charges $5 for the first hour and $2.50 for each additional hour or part of an hour. Your receipt reads $20. How many hours did you park in the garage?

Answers

you were parked in the garage for 7 hours

Ice cream shop is open within the month of june,july and august The shop served 100 fewer customers than they did in july They served twice as many customers in august as they did in june In total they served 400 customers over these three months

Answers

The number of customers served in the ice cream shop in June, July and August are 125, 25 and 250 customers respectively

How to write and solve equation?

let

June = xJuly = x - 100August = 2xTotal customers = 400

Total = June + July + August

400 = x + (x- 100) + 2x

400 = x + x - 100 + 2x

400 = 4x - 100

400 + 100 = 4x

500 = 4x

x = 500/4

x = 125

So,

June = x

= 125 customers

July = x - 100

125 - 100

= 25 customers

August = 2x

= 2(125)

= 250 customers

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Find ac when a = 2 and c = 9?

Answers

Answer:

ac = 18

Keys:

[tex]\sf Given\\a = 2\\c = 9\\ac = a \cdot c[/tex]

Step-by-step explanation:

[tex]\sf a(2) \cdot c(9) = 18[/tex]

Answer:

The answer would be 18.

Step-by-step explanation:

ac is equal to a multiplied y c. Since we know that a is equal to 2 and c is equal to 9, we know we have to set up the equation 2(9). (Note: The parentheses around the 9 means you multiply by that number). 2 times 9 is equal to 18, getting you your answer. I hope this helps! :)

You have 6 toppings to choose from for your pizza. I How many ways
can you choose 2 different toppings?

Answers

Answer:

3 ways

Step-by-step explanation:

2×3=6. That is how you do it

# 18 I can solve problems involving e and In.
0.0.15t


3. The expression 1 e models the balance, in thousands of dollars, where t represents
time in years after the account was opened.

a. What does the 0.015 represent in this context?

b. Write an expression and for the number of years after which there will be $8,000 in the
account and simplify.

4. Explain why In 16 is greater than 2 but less than 3.

Answers

The expression is assumed here as it's unclear looking

If it's P=(P_o)ln0.015t then the below solution of Part B is correct else they may vary.

#a

0.015 represents rate of change with respect to t.

#b

As per our assumed equation

It's.

8000=(P_o)ln0.015^t

Simplify

tln0.015=8000/P_o

Initial amount of account is not given so you have to solve the above equation after putting known P_o

#3

ln16ln4²2ln42(1.38)2.76(Approx)

Hence it's less than 3 and greater than 2

T
Radius i den store sirkelen er r.
Vis at summen av arealet til de fire hvite feltene kan skrives A = r²(2 – 2 ).
Løs oppgaven her.

Answers

Thank you :)

[tex]\pink{ \rule{1pt}{90000000pt}}\color{blue}{ \rule{1pt}{90000000pt}}\color{yellow}{ \rule{1pt}{90000000pt}}\purple{ \rule{1pt}{90000000pt}} \green{\rule{1pt}{90000000pt}}

[/tex]


If £2000 is placed into a bank account that pays 3% compound interest per year
how much will be in the account after 2 years?

Answers

Original value = £2000 = 100%
Interest is 3%, so new percentage value is 100% + 3% = 103%
Change to decimal 103/100 = 1.03 (this is your multiplier)
For 2 years 1.03^2 So £2000 x 1.03^2 = £2121,8
Final answer= £2121,7

Answer:

£ 2121.8

Step-by-step explanation:

The formula to find the compound interest is :

[tex]A=P(1+\frac{R}{100} )^n[/tex]

Here,

A = Amount ⇒ ?

P ⇒ Principal ⇒ £2000

R ⇒ Interest rate ⇒ 3%

n ⇒ Time  ⇒ 2 years

Let us find now.

[tex]A=P(1+\frac{R}{100} )^n[/tex]

[tex]A=2000(1+\frac{3}{100} )^2[/tex]

[tex]A=2000(1+0.03 )^2[/tex]

[tex]A=2000(1.03 )^2[/tex]

[tex]A=2000*1.0609[/tex]

[tex]A=2121.8[/tex]

Therefore, there will be £ 2121.8 in the bank account after 2 years.

Can someone help me with. This please

Answers

Answer:

wouldn't be 4.5 or something close too that maybe 5 or 5.5

Step-by-step explanation:

I got you I think


In an examination, Musa got 7 marks
more than Emmanuel. If Emmanuel
had 25 marks and Faith had 1/4 of
Musa's mark more than Emmanuel's
mark, what is the score of Faith

Answers

Answer:

Let Musa's mark be = m

Emmanuel's mark be = e

Faith's mark be = f

m = e + 7

e = 25

m = 25 + 7 = 32

f = 1/4 m + e

f = (1/4 × 32) + 25

f = 8 + 25

f = 33

What is the measure of the major arc?
135⁰
S
L
OA. 250°
OB. 135°
C. 225°
OD. 215°

Answers

Answer:

C. 225°.

Step-by-step explanation:

1) according to the condition minor arc is 135°;

2) the measure of the major arc can be calculated as

360°-135°=225°.

Which graph represents the function f (x) = StartFraction 2 x minus 1 Over x minus 1 EndFraction?
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve down and to the left in quadrants 3 and 4.
On a coordinate plane, a hyperbola is shown. One curve opens up and to the left in quadrant 2, and the other curve opens down and to the right in quadrants 3, 4, and 1.
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve down and to the left in quadrants 2, 1, and 4.
On a coordinate plane, a hyperbola is shown. One curve opens up and to the left in quadrant 2, and the other curve opens down and to the right in quadrants 4 and 1.

Answers

The correct description of the graph:

"One curve opens up and to the right in quadrant 1, and the other curve down and to the left in quadrants 2, 1, and 4."

Which graph is the graph of the given functions?

Here we have the function:

[tex]f(x) = \frac{2x - 1}{x - 1}[/tex]

The graph of this function can be seen below:

Then we can see that a curve opens up on quadrant 1, and down on quadrants 2 and 3 (it pass throw quadrant 1 for a little bit).

Then the correct option is:

"One curve opens up and to the right in quadrant 1, and the other curve down and to the left in quadrants 2, 1, and 4."

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Answer:

Graph D

Step-by-step explanation:

- 3.4 The rectangular box has the length of 8x² and the breadth of 6x² - 4x
3.4.1 What is the area of the box? to​

Answers

The formula for calculating the area of a rectangle is expressed as A = lw. The area of the box is 48x^4 - 32x^3 cubic units

Area of a rectangle

The formula for calculating the area of a rectangle is expressed as:

A = lw

Given the following parameters

length l = 8x² breadth w = 6x² - 4x

Determine the area

Area = (8x²)6x² - 4x

Area of the box = 48x^4 - 32x^3

Hence the area of the box is 48x^4 - 32x^3 cubic units

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Using data from 1996 to 1998, the annual number of cars sold at a certain dealership can be modeled by the formula y = 4x + 2. Where y is the number of cars in thousands sold x years after 1996. According to this form line in which years will be the number of car sold exceed 46,000

Answers

The year, where the number of cars sold exceed 46,000 is 13496

How to determine the year?

The equation of the function is given as:

y = 4x + 2

When the sales exceed 46000;

It means that y > 46000

So, we have:

4x + 2 > 46000

Subtract 2 from both sides

4x > 45998

Divide both sides by 4

x > 11499.5

The year is then calculated as:

Year = 1996 + x

So, we have:

Year > 1996 + 11499.5

Evaluate

Year > 13495.5

Approximate

y > 13496

Hence; the year, where the number of cars sold exceed 46,000 is 13496

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chuck is making a map of his neighborhood. each grid unit represents one city block. He uses the following coordinates, with north being the direction of the positive y axis

Answers

explain in the comment so i can help you

Help with my study guide only answer topic 7 problem A

Answers

sin P = 24/26

cos P = 10/26

tan P = 24/10

sin Q = 10/26

cos Q = 24/26

tan Q = 10/24

you have the first part right. using Soh Cah Toa is the best way to find the trig function when given a labeled triangle.

remember the hypotenuse is the longest side and always across from the 90 degree angle.

The Maxair amusement park ride consists of a circular ring that holds 50 riders. Suppose that the center of the ride is at the origin and that one of the riders on the circular ring is at (16, 15.1). If one unit on the coordinate plane equals 1 foot, give an approximation of the circumference of the ride to the nearest foot.

Answers

The approximation of the circumference of the ride is 138 feet to the nearest foot

How to determine the circumference?

The given parameters are:

Center (a,b) = (0,0) i.e. the originA circular ring, (x,y) = (16,15.1)

The radius is calculated using:

[tex]r = \sqrt{(x - a)^2 + (y -b)^2}[/tex]

So, we have:

[tex]r = \sqrt{(16 - 0)^2 + (15.1 -0)^2}[/tex]

Evaluate

r = √484.01

Evaluate the square root

r = 22.0

The circumference is calculated using

C = 2πr

So, we have:

C = 2π * 22.0

Evaluate

C = 138

Hence, the approximation of the circumference of the ride to the nearest foot is 138 feet

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Find dy/dx any one
x=acost , y=asint​

Answers

Answer:

[tex]x=a \cos t \implies \dfrac{dx}{dt}=-a \sin t[/tex]

[tex]y= a \sin t \implies \dfrac{dy}{dt}=a \cos t[/tex]

Using the chain rule:

[tex]\begin{aligned}\implies \dfrac{dy}{dx} & =\dfrac{dy}{dt} \times \dfrac{dt}{dx}\\\\& = a \cos t \times \dfrac{1}{-a \sin t}\\\\& = \dfrac{a \cos t}{-a \sin t}\\\\& = - \dfrac{\cos t}{\sin t}\\\\& = - \cot t\end{aligned}[/tex]

You are a for-hire motor carrier. Subpart A requires you to maintain a minimum level of financial
responsibility when transporting any quantity of what type of material in intrastate commerce?

A. All hazardous material
B. Class 7 material
C. Division 1.2 explosive material
D. Nonbulk oil
E. Nonbulk hazardous materials

Answers

You have to maintain a minimum level of financial responsibility when transporting any type of hazardous material in intrastate commerce Option A is correct.

What is Interstate commerce?

Interstate commerce refers to any transaction or movement of goods, services, or money over state lines.

You operate a motor carrier for hire. When shipping any quantity of hazardous material in intrastate trade, A mandates that you maintain a minimum degree of financial accountability.

Hence option A is correct.

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Answer: A is correct

Step-by-step explanation:

The weight of 1 cm³ of
water is exactly I g.
A small desk top fish
tank is pictured below.
How much does the
water in the tank weigh
in kilograms?
HELP

Answers

Answer:

10,800 kilograms

Step-by-step explanation:

(24 x 30) x 15 = 10,800

or (24 x 15) x 30

Evaluate the following for the given value. -2mn + n - 3m for m = -3 and n = -2

Answers

Hey there !

Answer:

-5 is the answer

Step-by-step explanation:

In this question we are given with an expression that is -2mn + n - 3m , value of m as -3 , value of n as -2 . And we are asked to evaluate the expression .

Solution : -

For solving such types of expression in which we are provided with values of variables we need to substitute value of variable ( in given equation m and n ) and solve them .

Expression :

[tex] \longmapsto \: \qquad \: \rm{- 2mn + n - 3mn}[/tex]

Substituting value of m and n :

[tex] \longmapsto \: \qquad \: - 2( - 3)( - 2) + ( - 2) - 3( - 3)[/tex]

Simplifying it :

[tex]\longmapsto \: \qquad \: - 2(6) - 2 + 9[/tex]

Multiplying -2 and 6 :

[tex]\longmapsto \: \qquad \: - 12 - 2 + 9[/tex]

Adding -12 and -2 :

[tex]\longmapsto \: \qquad \: - 14 + 9[/tex]

Solving -14 and 9 :

[tex]\longmapsto \: \qquad \: \underline{ \blue{\boxed{\frak{- 5}}}} \quad \bigstar[/tex]

Henceforth , -5 is the answer .

#Keep Learning

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to evaluate the expression

[tex]\star~\mathrm{-2mn+n-3m}~\star[/tex]

for

[tex]\star~\mathrm{m=-3}~\star[/tex]

[tex]\star~\mathrm{n=-2}~\star[/tex]

[tex]\triangle~\fbox{\bf{KEY:}}[/tex]

Substitute the values of m and n into the expression.

So, let's compute...

//\\\///\\\///\\\////\\\///\\\///\\\///\\\///\\\///\\\///\\\////\\\///\\\///\\\///\\\///\\\///\\\///\\\///\

                               Evaluating the expression

Since the value of m is -3, we should substitute -3 for m:

[tex]\star~\mathrm{-2(-3)n+n-3(-3)}[/tex]

Since the value of n is -2, we should substitute -2 for n:

[tex]\star~\mathrm{-2(-3)(-2)+(-2)-3(-3)}[/tex]

Simplify!

[tex]\star\mathrm{6(-2)-2+9}[/tex]

Simplify more!

[tex]\star\mathrm{-12-2+9}[/tex]

[tex]\star~\mathrm{-14+9}[/tex]

[tex]\boxed{\mathrm{-5}}[/tex]

Hope it helps you out! :D

Ask in comments if any queries arise.

#StudyWithBrainly

~Just a smiley person helping fellow students :)

HELP ASAP Calculate the residuals for your scatterplot in step 2d.
Create a residual plot for your data. graph is below

Answers

The residuals of the linear regression equation are -1.36, 0.32, 0.01, 0.62, 0.17, -0.24, 0.89, 0.09, 0.18 and -0.7

How to determine the residuals?

The regression equation is given as:

y = 0.141x + 0.842

Next, we calculate the predicted values (y) at the corresponding x values.

So, we have:

y = 0.141 * 13.8 + 0.842 = 2.78

y = 0.141 * 18 + 0.842 = 3.38

y = 0.141 * 16.7 + 0.842 = 3.20

y = 0.141 * 18 + 0.842 = 3.38

y = 0.141 * 0.7 + 0.842 = 0.94

y = 0.141 * 21.9 + 0.842 = 3.93

y = 0.141 * 15.5 + 0.842 = 3.03

y = 0.141 * 9.2 + 0.842 = 2.14

y = 0.141 * 19.5 + 0.842 = 3.59

y = 0.141 * 16.7 + 0.842 = 3.20

The residuals are then calculated using:

Residual = Actual value - Predicted value

So, we have:

Residual = 1.42 - 2.78 = -1.36

Residual = 3.7 - 3.38 = 0.32

Residual = 3.21 - 3.20 = 0.01

Residual = 4 - 3.38 = 0.62

Residual = 1.11 - 0.94 = 0.17

Residual = 3.69 - 3.93 = -0.24

Residual = 3.92 - 3.03 = 0.89

Residual = 2.23 - 2.14 = 0.09

Residual = 3.77 - 3.59 = 0.18

Residual = 2.5 - 3.20 = -0.7

Hence, the residuals of the linear regression equation are -1.36, 0.32, 0.01, 0.62, 0.17, -0.24, 0.89, 0.09, 0.18 and -0.7

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Which of the following functions has a maximum y-value of 2?
y = 2(x + 1)² +3
y = 3(x + 1)² +2
O y=-3(x + 1)² + 2
Oy=-(x - 2)² + 3

Answers

Answer:

-3(x+1)² + 2

Step-by-step explanation:

-3(x+1)² + 2 because the +2 indicates the y value of the turning point and the turning point is a maximum meaning the coefficient must be negative leaving this answer

Writing One Variable Algebraic
Expressions
Leslie buys a new pair of sneakers for $43 and several
pairs of laces, I, that cost $6 each. Write an algebraic
expression to represent the total amount she will spend.

Answers

Answer:

y = 6l + 43

Step-by-step explanation:

y=mx + b

y = y coordinate

m = slope

x = x coordinate

b = y intercept

The y intercept is when x = 0, so the initial cost before buying the laces, which was the cost of the sneakers

b = 43

The slope is you purchase one pair of laces, it increases by 6 each time

m = 6

The y coordinate will represent the total cost spent

y

The x coordinate will represent the total number of laces purchase and we are told that the variable is l

x = l

combine:

y = 6l + 43

8. A farmer needs to fertilize his field before planting again. Fertilizer is sold at $54.00 for a 100lbs bag and 1 bag should be used for every 1000 square feet. The farmer's field is 250 feet long and 150 feet wide. a) What is the area of the field? Ans: b) What will it cost the farmer to fertilize his field? Ans:​

Answers

Answer:

a) 37 500 ft²b) $2 052

Step-by-step explanation:

a)

the area of the field :

= 250 × 150

= 37 500 ft²

……………………

b)

→ the number of bags needed :

37 500 ÷ 1 000

= 37.5

Then he needs 38 bag

→ The cost :

= 38 × 54.00

= 2 052

Solve for X.
21
14
X

42
x = [?]
Enter the number that belongs in the green box.

Answers

Answer:

x = 28

Step-by-step explanation:

By Triangle Proportionality Theorem,
14/x = 21/42
14 * 42/21 = x
x = 28

Please help
Solve for r.
-8
= 4
T+6
=

Answers

Answer:

-8

Step-by-step explanation:

Solving for r means that we need to isolate r from the expression.

[tex] \frac{ - 8}{r + 6} = 4[/tex]

Multiply both sides by (r +6) to 'get rid' of the fraction:

-8= 4(r +6)

Expand:

-8= 4r +4(6)

-8= 4r +24

Minus 24 on both sides:

4r= -8 -24

4r= -32

Divide both sides by 4:

r= -32 ÷4

r= -8

Additional:

For a similar question on solving for a variable:

https://brainly.com/question/2594136?utm_source=android&utm_medium=share&utm_campaign=question

Answer:

r = -8

Step-by-step explanation:

-8/(r + 6) = 4
          -8 = 4(r + 6)
          -8 = 4r + 24
        -32 = 4r
          -8 = r

Try This Q 1. Write the expressions for each of the following using brackets. (a) Four multiplied by the sum of nine and two. (b) Divide the difference of eighteen and six by four. (c) Forty five divided by three times the sum of three and two. 2. Write three different situations for (5+8) x 6. (One such situation is: Sohani and Reeta work for 6 days; Sohani works 5 hours a day and Reeta 8 hours a day. How many hours do both of them work in a week?) 3. Write five situations for the following where brackets would be necessary. (a) 7(8-3) (b) (7+2) (10-3)​

Answers

Answer:

Step-by-step explanation:

Writing expressions

a)  Sum of nine and two ⇒ 9 + 2

Four multiplied by (9+2) :  

       4* (9+2)

[tex]b) \dfrac{(18-6)}{4}[/tex]

[tex]c) \dfrac{45}{3*(3+2)}[/tex]

2) a) Multiply the sum of five and eight by 6

   b) There 5 story books in 6 red bags and 8 art books in 6 blue bags. How many books are there?

3) a) 7*(8-3)

      Multiply the difference of eight and three by 7.

     

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Find the area of a regular polygon with 5 sides that has a side length of 6 inches and an apothem of 9 inches.Area = [?]in2 How do I write an essay for a compare and contrast analysis to compare the way two different texts present similar ideas The scale factor between two similar figures is given. The surface area and volume of the smaller figure are given. Find the surface area and volume of the larger figure.scale factor = 2:7SA= 8 cmV = 128 cmA) SA=98 cm, V = 5488 cmB) SA= 686 cm, V = 5488 cmC) SA= 98 cm, V = 686 cmD) SA=98 cm, V = 784 cmE) SA 14 cm. V = 112 cm This table shows the music preferences in 14- to 19-year-olds. A Circle Graph was made using this data and presented at a conference.What could make people at the conference draw wrong conclusions from this Circle Graph? A. The Country section has the smallest area. B. The Rap section covers the largest area. C. The Alternative section is larger than the rock and roll section. D. The Classical section is not included in the Circle Graph. Which would result in a judge who is sitting beside the testing ground observing the tennis ball having a speed of 7 m/s? during starvation, the bodys first priority is to Decide whether the sentence is written in British or American English. Equation of the circle is x^2 +(y-10)^2=16. The radius of the circle is___units. The center of the circle is at ___ Identify whether each assessment tool is a value inventory or an interest inventory.Strong Intert InventoryKuder OccupationalInterest SurveySelf-Directed SearchValue InventoryResetMinnesota ImportanceQuestionnaireInterest InventoryNext Write BE if the statement is Beneficial Effect to the suns heat and light, HE if it is Harmful Effect of the suns heat and light and SP to avoid the negative effects of too much exposure to sunlight.___1. UV rays can help treat some health conditions. It creates Vitamin D.___2. Use sunblock lotion with SPF 15 during hot days.___3. With the presence of sunlight, farmers can dry their crops.___4. UV rays can damage the tissue in your eyes.___5. Research says that sunlight helps moods.___6. Too much exposure from the sun can cause skin cancer.___7. Use sunglasses when you stay under the sun.___8. Wear a wide- brimmed hat on sunny days.___9. Humans can do recreational activities on a sunny day.___10. Wear sunglasses that filter UV light.___11. Prolonged exposure to the suns heat makes your skin age faster than normal.___12. Too much heat from the sun can cause heat stroke and loss of water.___13. Sunlight helps strengthen your immune system.___14. The vitamin D made thanks to the sun plays a big role in bone health.___15. Avoid sun in the middle of the day, from about 10 a.m. to 3 p.m. which organizations would most likely work directly to reduce child mortality rates Microorganisms are involved in all of the following EXCEPT production of medicinal products. food production. converting nitrogen to a form useful to plants. There are no exceptions here. There are microorganisms that participate in each of these activities. pollution cleanup. Help please!!You might need to zoom in to see the photo better.-You cant really see what 1 says but it says (The net below can be folded to make the triangular prism? Label the dimensions of the prism.) And 8 says (Calculate the total area of the net and the surface area of the triangular prism from Problem 7. area net= surface area= ___ cm^2) Prepare a statement of retained earnings in proper form for White Corporation What occurs during the mitosis stage of the cell cycle? What process creates mRNA? At central high school there are 398 sophomores who do not own a car and 29 who do there are 64 juniors who own a car and 339 who do not there are 123 seniors who own a car compared to 239 who do not complete the two way table to display these data Drag each tile to the correct box. identify each cause of the french revolution as social, political, or economic. unequal tax burden between the estates the division of french citizens into three estates unequal representation of the third estate in the estates-general social arrowright political arrowright economic arrowright short essay for peace and harmony Calculate the median of the following list of numbers: 3, 5, 2, 10, 6, 3, 7, 3