what the power a when 5^a = 1/125

Answers

Answer 1

Answer:

a = -3

General Formulas and Concepts:

Algebra I

Solving Exponential EquationsExponential Property [Rewrite]: [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle 5^a = \frac{1}{125}[/tex]

Step 2: Solve for a

Rewrite:                                                                                                                [tex]\displaystyle 5^a = \frac{1}{5^3}[/tex]Rewrite [Exponential Property - Rewrite]:                                                       [tex]\displaystyle 5^a = 5^{-3}[/tex]Set:                                                                                                                    [tex]\displaystyle a = -3[/tex]

Related Questions

how many distinguishable permutation are possible with all the letters of the word sequence​

Answers

Step-by-step explanation:

hey, hope this helps/ is right :))

x 110= 7,305


Please show work if you can

Answers

Answer:

OKAY SO:

Step-by-step explanation:

7305 divided by 110 = 66.4090909091

so just to make sure its correct u do

66.4090909091 times 110 = 7305

The school orchestra sells carnations on Valentine's Day for $2 each. They buy the carnations that they sell from a local florist for $0.50 each plus a one-time $18 delivery charge. Write a system of equations that describes this situation and solve it using your preferred method.​

Answers

Answer:

2x - (0.50x + 18) = profit

Step-by-step explanation:

x = number of carnations, for example if 3 carnations were sold, $6 from sales - (1.50 + 18) = profit. The 50 cents from each carnation that they bought to sell, plus 18 delviery fee. Hope this helped! Good luck!

Pls help I keep asking and nobody’s helping me

Answers

Answer: 268

Step-by-step explanation: substitute pi with 3.14, & then 4^3 as 64 in the second line. after, you multiply 3.14 x 64 you get 201 after you round. finally multiply 4 x 201 then divide your answer by 3. you get 268. (no one helped so i did)

it's all on the picture ​

Answers

Answer:

subtract 12 from both sides of the equal sign

-since you are trying to find h

Kathy was building a bed for her dollhouse she used her bed

Answers

Answer:

She used her bed for her dollhouse

Step-by-step explanation:

What is the lower Quartile (Q1) for this data set?

Answers

Answer:

d adm d

Step-by-step explanation:

mnmnmnmncmmxmxmxmnxmnmmncxmcx

Is y=5x^3-7x+12 linear or non linear

Answers

Answer:

non-linear

Step-by-step explanation:

y=5x^3-7x+12 is nonlinear (it's cubic) because of the presence of the x^3.

Answer:

Hi! The answer to your question is Non Linear

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

A tool box has the dimensions of 10 in by 7 in by 3 in. If Deena plans to double all three dimensions to build a larger tool box, she believes she would double the volume of the tool box. Is she correct?

Answers

Answer:

She will not be correct

Step-by-step explanation:

Given data

Length=10in

Width=7in

Height=3in

The volume of the toolbox

V=10*7*3

V=210 in^3

Let us double the volume and see

2V= 210*2

   =420 in^3

Let us also double the individual dimensions

Length=20

Width=14in

Height=6in

V= 20*14*6

V=1680 in^3

Hence the volume will be different, she will not be correct

4. The product of 32 and n is equal to 59.13.

Answers

Answer:

pretty sure it is 1.8478125

Step-by-step explanation:

HELP MEEEEE I REALLY NEED HELP

Answers

Answer:

they are vertical angles

Step-by-step explanation:

they are vertical angles.

Please help.
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.

Answers

Answer:

a, d, e

Step-by-step explanation:

#1  Multiply the two polynomials.

[tex](2x+3)(5x^2+3x+2)=(2x)(5x^2)+(2x)(3x)+(2x)(2)+(3)(5x^2)+(3)(3x)+(3)(2)\\=10x^3+6x^2+4x+15x^2+9x+6\\=10x^3+21x^2+13x+6[/tex]

#2

[tex](3y+4)(2y^2+5y-3)=(3y)(2y^2)+(3y)(5y)-(3y)(3)+(4)(2y^2)+(4)(5y)-(4)(3)\\=6y^3+15y^2-9y+8y^2+20y-12\\=6y^3+23y^2+11y-12[/tex]

PLEASE HELP! :(

Suppose that c varies directly with n, and n=8 when c=13. Find n when c=4.

Answers

as c and n directly vary it can be said that

[tex]\frac{8}{13} = \frac{n}{4}[/tex]

now we just solve for n

[tex]\frac{8}{13}=\frac{n}{c} \\13n=32\\n=2.46[/tex]

PLEASE HELP THIS IS URGENT!!!!

Answers

Answer:

I believe it would be 21 units . dont let extra line's confuse you just pay attention to the letters its asking for

Which number makes the number sentence true?
0.64 < ____
A. 0.6
B. 0.7
C. 0.63
D. 0.07

Answers

Answer:

The correct answer is letter B, 0.7

Step-by-step explanation:

Hope this help

What are the next three terms in the sequence 11, 18, 25, 32, ...? 39, 46, 53 43, 50, 57 37, 44, 51 41, 48, 55

Answers

Answer:

39...........

Step-by-step explanation:

plz mark me as brainest answer

Answer:

39

Step-by-step explanation:

the sequence increases by seven every time so 32+7 =39

Brainliest and 1 graph helppp :)

Answers

Answer: it’s C

Step-by-step explanation:

help me please can someone explain

Answers

Answer:

Step-by-step explanation:

7x+4^3+5  just answer that ans that will givin u your answer

Can someone please help me with math.

Answers

Answer:

c

Step-by-step explanation:

c

Math helppp plzzzz 20 points helppp plzzzzz no links or imma report u

Answers

It would be c that is because c is 45 mph while b would be 195/3=65 and a 150/3=50 so the fastest rankings would be b, a, c and the slowest rankings would be c, a, b

Please help help me please ASAP I am begging someone please
No links or files

Answers

Answer:

1. b

2. e

3. a

4. f

5. g

Step-by-step explanation:

hope this helps

Kevin has nine cards numbered 1 to 9. What is the probability of randomly picking two odd-numbered cards if the first card picked is not replaced?

A: 5/9
B: 5/18
C:25/72
D:25/81

Answers

The response is B: 5/18

Si tengo 10 vacas y solo tengo 9 corrales entonces ¿Cómo colocar las 10 vacas dentro de los 9 corrales?

Answers

Answer:

Step-by-step explanation:

Este es muy fácil, simplemente dibujas los nueve corrales y pones diez vacas en entre. ¿¿Como??

Por ejemplo, tú tienes algo como esto

D

I

E

Z

V

A

C

A

S

Donde, cada letra es la vacas tú tienes, y pones en el corral. Esta camina, tienes poner diez vacas en entre nueve corrales. Espero que me entiendas. Gracias

Can someone please help

Answers

Answer:

D

Step-by-step explanation:

You need to dialate the shape by 2 centered in the origin and it rotates 180 degrees.

Kate walks 5 miles in 2 hours at a steady pace. How far can she walk in 1 hour and 15 minutes? Explain your reasoning.

Answers

Answer:

3.125

Step-by-step explanation:

Kate walks 5 miles in 2 hours (120 minutes)

The distance she can works in 1 hour 15 minutes can be calculated as follows

This can be calculated using proportion

d/75= 5/120

Cross multiply

d×120= 75×5

120d= 375

d= 375/120

= 3.125

True or False?

The graphs of x√ and 3x√ have the same x and y intercepts.


True
True

False

Answers

Answer:

without a value under the square root there are no I tercepts because you can't graph xsqrt

The table shows the distances and times that two dogs Which statements are true about the data shown in th table? Check all that apply. ran. O Fido ran faster than Ruff. O Ruff ran faster than Fido. Dog Distance (feet) Time (seconds) O The dogs ran at the same speed. O Fido's speed was 3 feet per second O Ruff's speed was 4 feet per second. Fido 54 18 Ruff 64 16​

Answers

Answer:

what!!!!!????

Step-by-step explanation:

I don't understand what are we supposed to do

Answer:

B, D, and E

Step-by-step explanation:

I just had the same question

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Answers

Answer:

The second one

Step-by-step explanation:

This is because it is asking for a budget meaning that you have to spend less or equal to 200

Answer: m ≤ 200

Step-by-step explanation:

You can't spend MORE THAN 200 dollars in cash$200 must be the most you can spend$200 will always be more than m or m will always be less than $200

yo i need help with this question please and thank u i need the correct answer to please i will give u a brainliest as well

Answers

V = πr ^2 h
V = π (3)^2 (5)
V = π (9) (5)
V = π 45
V = 141.3 in
141.3 divided by 8 = 17.7

The diameter of the circle is 9 feet. What is the circumference of the Circle?​

Answers

Answer:

(ABOUT) 28.27433

Step-by-step explanation:

C = 2πr or dπ (because 2*r = d)

For this case:

C = dπ

C = 9π

C = 28.27433

You can round if you want to (like 28.3 or 29.27).

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