1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lera25 [3.4K]
2 years ago
8

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

Mathematics
1 answer:
Advocard [28]2 years ago
3 0

Answer:

a = -3

General Formulas and Concepts:

<u>Algebra I</u>

  • Solving Exponential Equations
  • Exponential Property [Rewrite]: \displaystyle b^{-m} = \frac{1}{b^m}

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

<em />\displaystyle 5^a = \frac{1}{125}<em />

<em />

<u>Step 2: Solve for </u><em><u>a</u></em>

  1. Rewrite:                                                                                                                \displaystyle 5^a = \frac{1}{5^3}
  2. Rewrite [Exponential Property - Rewrite]:                                                       \displaystyle 5^a = 5^{-3}
  3. Set:                                                                                                                    \displaystyle a = -3
You might be interested in
Which equation describes a parabola that opens left or right and whose vertex is at the point (h, v)?
nalin [4]
Vertex is at the point ( h , v ) 
The equation of a parabola is:
x = a ( y - v )² + h
Answer: B )
4 0
3 years ago
Read 2 more answers
Suppose that the water level of a river is 34 feet and that it is receding at a rate of her foot per day right in equation and h
Ghella [55]

Answer: it will take 9 days

Step-by-step explanation:

The water level was initially at 34feet it was receding at the rate of a foot per day. The rate at which it was receding is linear, thus, it is in an arithmetic progression. The formula for the nth term of an arithmetic progression is expressed as

Tn = a+(n-1)d

Where

a is the first term if the sequence

d is the common difference

n is the number of terms.

From the information given,

a = 34 feet because it is the initial height

n is the number of days it will take to get to 26 ft

d = -1 because it is decreasing by 1 foot per day.

Tn = T26 = 26 feet. Therefore, the equation will be

Tn = 34 -1(n-1)

To find for T26,

26= 34 + (n - 1)-1

26 - 34 = -n + 1

n - 1 = 8

n = 8 + 1 = 9

8 0
3 years ago
F(x)=x^2. What is g(x)
Basile [38]
I don’t know I just need points
6 0
3 years ago
7. The height of a ball in meters is modeled
s344n2d4d5 [400]

Answer:

the ball is in the air for 8 seconds

Step-by-step explanation:

f(x) = y

when y = 0, the ball would've travelled through the air over the final time of flight.

0 = -5x^2 + 40x + 0

use quadratic equation to find the value of x

x = (-b ± √b^2 - 4 • a • c) / 2 • a

x = (-40 ± √40^2 - 4 • -5 • 0) / 2 • -5

x = (-40 ± √1600) / - 10

x = (-40 ± 40) / - 10

x = 0 or x = 8

7 0
3 years ago
30 POINTS!!!! EXPLAIN!
Reptile [31]
Answer:

f(x+2)=3x+10

Explanation:

f(x+2) means replace all the  xs  with  (x+2)

f(x)=3x+4

f(x+2)=3(x+2)+4

Now simplify

f(x+2)=3x+6+4

f(x+2)=3x+10

7 0
4 years ago
Other questions:
  • The bears football team lost 7 yards and then gained 12 yards. what is the result of the two plays
    6·2 answers
  • An 80-eV electron impinges upon a potential barrier 100 eV high and 0.20 nm thick. What is the probability the electron will tun
    5·1 answer
  • Find all of the missing angle measures. Remember you cannot assume right angles or diameters. Also think about how many degrees
    5·1 answer
  • Add (7x^6+10x^2-10)+(3x^6-6x^3+4)
    11·2 answers
  • What angles are adjacent ?
    6·2 answers
  • There are 7 roses in a vase of 12 flowers. The rest are daisies.
    15·2 answers
  • Please help with this
    14·1 answer
  • Explain how you will find the sum of 4.2 and 2.14
    8·1 answer
  • The homeowners association for a residential community is selecting a committee of 7. There are 24 candidates for positions. How
    7·1 answer
  • Write the number for nine million seven hundred thousand
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!