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
barxatty [35]
3 years ago
15

How to solve the exponential equation for 3^k2 • 3^-k+2 = 81

Mathematics
1 answer:
wariber [46]3 years ago
6 0

Answer:

k=2

Step-by-step explanation:

3^k*2 * 3^-k+2 = 81

Factor out 81 to be : 3^4

Rewrite the equation:

k*2 - k+2 = 4

k^2 - 2k = 4

Simplify : k+2 = 4

            <u>    - 2   - 2</u>

             k = 2

You might be interested in
You roll one die 8 times. What is the probability of rolling exactly six fours
julia-pushkina [17]

Answer:

4/8 = 1/2 = 0.5 is your answer

5 0
2 years ago
Graph the direct variation equation. y=9x
4vir4ik [10]
Use the slope 9 and then go through (0,0)
7 0
3 years ago
Determine whether y = 2x - 3 is a linear equation. If so, write the equation in<br> standard form.
beks73 [17]

Answer:

yes, y=2x-3 is linear

2x - y = 3  Standard Form

Step-by-step explanation:

since both the 'x' and 'y' variables have one as their exponents then this represents a linear equation

standard form: Ax + By = C

y = 2x - 3

subtract 2x from each side to get:

-2x + y = -3

divide each term by -1 to get (this is done so the leading coefficient is not negative)

2x - y = 3  Standard Form

4 0
3 years ago
Read 2 more answers
A newspaper has more than 30 pages and fewer than 40 pages the newspaper is divided into sections and each section has exactly 8
swat32
This newspaper have 4 sections
3 0
3 years ago
Read 2 more answers
Family has an annual income of ​$23 comma 400. Of​ this, one fourth
denis23 [38]

Amount spent for food = $5850, housing = $4680, clothing = $2340, savings = $2600, taxes = $5850, expenses = $2080.

<u>Step-by-step explanation:</u>

Step 1:

Given details are Total Income = $23,400

Step 2:

Amount spent for food, F= 1/4th of 23,400 = 1/4 \times 23400

= $5850

Step 3:

Amount spent for housing, H = 1/5th of 23,400 = 1/5 \times23400

= $4680

Step 4:

Amount spent for clothing, C = 1/10th of 23,400 = 1/10 \times 23400 = $2340

Step 5:

Amount spent for savings, S = 1/9th of 13,400 = 1/9\times 23400 = $2600

Step 6:

Amount spent for taxes, T = 1/4th of 23,400 =  1/4 \times 23400 =$5850

Step 7:

Find amount spent on other expenses by totaling all expenditures and subtracting from the annual income.

Annual Income = F + H + C + S + T + E

Amount spent on other expenses, E = 23400 - (5850 + 4680 + 2340 + 2600 + 5850)

E = 23400 - 21320

E = $2080

5 0
3 years ago
Other questions:
  • I NEED HELP ASAP<br> HELP ME NOW
    8·1 answer
  • Which number from the set {10, 11, 13, 14} is a solution for this inequality?
    7·2 answers
  • Why were farmers able to cut their grain more easily and cheaply after 1834? A new type of grain was developed. The McCormick re
    7·1 answer
  • A submarine is 50 meters below sea level. It goes up 15 meters then goes down 40 meters. What is the submarines' new position re
    7·2 answers
  • Answer this ! please
    13·1 answer
  • Can someone help me on this question quick please
    7·2 answers
  • ANSWERRRRRRR PLZZZZZZz
    11·2 answers
  • What kind of shape will you see if you cut a cross section parallel to the base of a cylinder
    5·2 answers
  • Suppose both pairs of corresponding legs of two right triangles are congruent. Are the triangles congruent?
    9·1 answer
  • Complete the table to show the steps for combining like terms.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!