When do you need an exponent that is equal to zero? When do you need an
exponent that is negative? What makes these exponents useful?

Answers

Answer 1

When an exponent is equal to 0, the whole expression equals one. It does not matter what the base is - the expression will always equal 1. When the exponent is negative, the expression equals 1 over the expression. Here are some examples where this might be useful:

[tex]x^{0} = 1[/tex][tex]x^{-4} = \frac{1}{x^4}[/tex]

Hope you found this helpful!

Answer 2

Answer:

first, decay

second, B

third, 0.86

Step-by-step explanation:

edge 2021


Related Questions


1. Which of the following lines is parallel to the line y = -3/2x +1 and contains the point (4,2)?

Answers

Answer:

The answer should be y = -[tex]\frac{3}{2}[/tex][tex]x[/tex] + 8, but its not one of the answers, so check the question again.

Step-by-step explanation:

If the second line is parallel, then the gradient will be the same:

y = -[tex]\frac{3}{2}[/tex][tex]x[/tex] + c

Find what c is (y-intercept) by inputting the given point into the equation (4,2):

2 =  (-[tex]\frac{3}{2}[/tex] x 4) + c

2 = -6 + c

c = 8

PLS HELP ME!
You buy 3.17 pounds of peaches​, 1.15 pounds of pears​, and 2.26 pounds of grapes. What is your total​ bill?

Answers

Answer:

Step-by-step explanation:

just add

3.17

1.15

2.26

-------

 7. 48 lbs

im pretty sure

A formal proof uses all of the following components except what?

A.) theorems
B.) a set of examples
C.) geometry rules
D.) algebra rules

Answers

I think it is c or d but i would go with c for sure

Answer:

D.) algebra rules

Step-by-step explanation:

Had it on the quiz

I need help!! PLEASE I DONT WANNA FAIL THIS SEMESTER

Answers

Answer:

I AM GUESSING ITS GONNA BE 39.6

Step-by-step explanation:because 40% of 99 is 39.6

Can someone show me an orthographic drawing that can make different isometric diagrams?

Answers

Answer:

Step-by-step explanation:

plz help me its do today

Answers

Answer:

equation= y=4x+6 slope= 4 yint= 6

Step-by-step explanation:

use y2-y1/x1/x2 then look where the zero is on the table. hope this helped.

Given that R = 4 x + 9 y Find x when y = 1 and R = 1

Answers

Answer:

x=-2

Step-by-step explanation:

R=1

Y=1

So the equation is

4x+9=1

4x=1-9

4x=-8

x=-8/4

x=-2

Answer:

x=-2

Step-by-step explanation:

R=1

Y=1

So the equation is

4x+9=1

4x=1-9

4x=-8

x=-8/4

x=-2

Find the surface area of the prism

Answers

Answer:  168 square feet

=========================================================

Explanation:

The front triangular face is a triangle with base 8 and height 6. Its area is

A = 0.5*base*height

A = 0.5*8*6

A = 24 square feet

The back triangular face is also 24 square feet since these are the base faces of the prism. The base faces are always congruent. It might help to imagine this figure is turned on its side.

The slanted lateral face is a rectangle of length 10 ft and width 5 ft, so its area is L*W = 10*5 = 50 square feet

The rectangular face on the left is 6 ft by 5 ft giving an area of 6*5 = 30 square feet.

Lastly, the bottom rectangular face is 8 ft by 5 ft giving an area 8*5 = 40 square feet

Overall, the total surface area is: 24+24+50+30+40 = 168 square feet

We just add up all the individual areas of each face to get the total surface area.

Select all ratios equivalent to 1:8.

Answers

Answer: 2:16 - 3:24 - 4:32 - 5:40 - 6:48 - 7:56 - 8:64 // just keep adding each side to its own side

Step-by-step explanation:

Well I don't know the answer choices so

⚠️WILL GIVE BRAINLIEST⚠️​

Answers

Answer:

It's letter C (x = -2) (y = 1)

Step-by-step explanation:

Compute the variances in dollar amount and in percentage. (Round to the nearest whole percent.) Indicate whether the variance is favorable (F) or unfavorable (U). Budgeted Amount - Expense $255.00 Actual Amount $225.00

Answers

Answer:

Variance is the difference between a Budgeted Amount and the Actual Amount. In terms of expenses, if the Budgeted amount is more than the Actual amount, the variance is Favorable because less was spent than was supposed to be spent.

The reverse is true.

Variance = Budgeted Amount - Actual amount

= 255 - 225

= $30

Percentage = Variance / Budgeted amount

= 30/255

= 11.76%

The variance is FAVORABLE because the actual amount was less than the budgeted amount.

what is the measure of <x​

Answers

58 degrees
When does the square inside the angle that means it is a right angle and a right angle is 98° So all you need to do is 90-32

Right Answer Gets Brainliest
A number b minus 6.9 is less than or equal to 12. Write this word sentence as an inequality.

Answers

Answer:

b-6.9 ≤ 12

Step-by-step explanation:

help please I do not understand but could someone tell me what to do??

Answers

Answer:

the answer is 4

Step-by-step explanation:

you plug in the 8 into the y variable. Then you divide 8 by 2. The answer comes out as 4.

En la biblioteca hay 400 libros. Si el 25% son de matemáticas. Cuantos libros de matemáticas hay?

Answers

Answer:

100.

Step-by-step explanation:

25%*400

=100

¡Espero que esto haya ayudado!

Prasitha has two buildings A and B. A is 10 feet shorter than the twice the height of B. The distance between the buildings is 120 feet and the height of B is 60 feet. Find the distance between their tops.

Answers

Answer:

The distance between their tops is 130 feet

Step-by-step explanation:

The given parameters are;

The height of A, [tex]h_A[/tex] = 2 × The height of B - 10

The distance between the two buildings, d = 120 feet

The height of B, [tex]h_B[/tex] = 60 feet

Therefore, we have;

The height of A, [tex]h_A[/tex]  = 2 × The height of B - 10 = 2 × 60 - 10 = 110 feet

The height of A, [tex]h_A[/tex] = 110 feet

By Pythagoras theorem, the distance between their tops = √(([tex]h_A[/tex] - [tex]h_B[/tex])² + d²)

Substituting the values gives;

The distance between their tops = √((110 - 60)² + 120²) = 130

The distance between their tops = 130 feet.

What are the greatest common factor of 9a^b and 30ab^3?​

Answers

The GCF would be 3a^b

Answer: 3ab   IF a^b does NOT mean a to the power of b!

I believe you mean  9a²b and 30ab³

If you really mean 9aᵇ and 30ab³,  then the GCF is 3a.

Step-by-step explanation:

the factors of  9 are 3*3  The factors of 30 are 2*3*5.

The only common factor of 9 and 30  is 3

a is a common factor of a and a²

b is a common factor of b and b³

(52 divided by 4) + 5 exponent 3

Answers

the answer is 138, because you divide first then add and then multiply.

Answer:

138 (if the exponent 3 in strictly on the 5)

5832 (if the exponent 3 in on the whole problem)

Step-by-step explanation:

pLease help and thanks

Answers

Answer:

a

Step-by-step explanation:

Every x or domain is unique and doesn't repeat. Therefor, it will pass the vertical line test. You can not have a repeating x.

Put these numbers in ascending order 1,3-3,-5,-7

Answers

Answer:

-7 , -5 , - 3 , 1 ,3

Step-by-step explanation:

ascending order is arranging from the lowest number to highest number.

Answer:

-7 ,-5 , -3 , 1 , 3

Step-by-step explanation:

negative value smaller positive value.thus, negative come first before positive value.ascending order is from smaller to greater.

(4x3 + x2 - 9) - (- 5x3 + 7x - 16)

Answers

Answer:

34-5x

Step-by-step explanation:

(12+2x-9)-(-15+7x-16)

(3+2x)-(-31+7x)

3+2x+31-7x

34-5x

34-5x
That’s the answer for this question

What is 8^3 * 7^-3 simplified?

Answers

Answer:

Exact form: [tex]\frac{512}{343}\\[/tex]

Decimal Form:1.4927

Mixed Number Form: 1 [tex]\frac{169}{343}[/tex]

Brainliest please

On the number line, Point B is between points A and C . The distance between points A and B is 1/3 of AC. What is AB?

Answers

I think the answer is b

I think the answer is b

I think the answer is b

I think the answer is b

Enter the number in scientific notation.
4,800,000,000,000 =
x10

Answers

Answer:

4.8 x 10^12

Step-by-step explanation:

Move the decimal to the second space so:

4.800000000000

Then count how many spaces the decimal moved so:

12

Then get rid of the 0s and add the x 10^12 so: 4.8 x 10^12.

Step-by-step explanation:

4,800,000,000,000 = 4.8 x 10^12

This is a conversion to standard form question. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

Daren draws a scale model of the Statue of Liberty that is 15 inches tall. If the Statue of Liberty is 305 feet tall, what is the scale of the model?​

Answers

Answer:

The scale of the model is 1 : 244.

Step-by-step explanation:

15 inches = 1.25 feet. (1 inch = 0.0833333 feet)

Hence, the scale is 1.25 : 305 = 1 : 244. (1.25 / 1.25 : 305 / 1.25)

Hope this helped!

Plz help I don’t know the answer very important question

Answers

Answer

D.26

Step-by-step explanation:

What is DCB? (eeeeee)

Answers

Answer:

53 degrees

Step-by-step explanation:

ACB seems to be a right angle so since ACD is 37 degrees:

DCB+37=90

DCB=53

Answer:53 degrees

Step-by-step explanation:

90-37= 53

4.5(8 - x) + 36 = 102 - 2.5(3x + 24)

Answers

Answer:

x = -10

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define equation

4.5(8 - x) + 36 = 102 - 2.5(3x + 24)

Step 2: Solve for x

Distribute:                                   36 - 4.5x + 36 = 102 - 7.5x - 60Combine like terms:                   -4.5x + 72 = -7.5x + 42Add 7.5x on both sides:             3x + 72 = 42Subtract 72 on both sides:        3x = -30Divide 3 on both sides:              x = -10

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                    4.5(8 - -10) + 36 = 102 - 2.5(3(-10) + 24)Simplify:                               4.5(8 + 10) + 36 = 102 - 2.5(3(-10) + 24)Multiply:                               4.5(8 + 10) + 36 = 102 - 2.5(-30 + 24)Add:                                     4.5(18) + 36 = 102 - 2.5(-6)Multiply:                               81 + 36 = 102 + 15Add:                                     117 = 117

Here we see that 117 does indeed equal to 117.

∴ x = -10 is a solution of the equation.

IS 2/7
an irrational number?
yes
no

Answers

Answer:

no, it is rational

Step-by-step explanation:

a rational number is one that can be expressed as division of an integer by a nonzero integer. So it is rational, not irrational.

No
An irrational number is a number that cannot be expressed as a fraction
So no

please please help me!!​

Answers

Answer:

Domain (4, 18, 45, 58)

Range (-6, 5, 10)

Step-by-step explanation:

domain is x value range is y value
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