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
pogonyaev
3 years ago
14

I'm can't seem to find a common base. I know the answer's x=4 but I thought it was x=0.

Mathematics
1 answer:
EleoNora [17]3 years ago
7 0
64^x = 256 * 16^x

2^6x = 2^8 * 2^4x

2^6x = 2^(4x+8)

6x = 4x +8

2x = 8

x = 4
You might be interested in
An arithmetic sequence is defined by the general term tn = -5 + (n - 1)78, where n ∈N and n ≥ 1. What is the recursive formula o
Gnoma [55]

Answer:

C

Step-by-step explanation:

In general for arithmetic sequences, recursive formulas are of the form

aₙ = aₙ₋₁ + d,

and the explicit formula (like tₙ in your problem), are of the form

aₙ = a₁ + (n - 1)d,

where d is the common difference. So converting between the two of these isn't so bad. In this case, your problem wants you to have an idea of what t₁ is (well, every answer says it's -5, so there you are) and what tₙ₊₁ is. Using the formulas above and your given tₙ = -5 + (n - 1)78, we can see that the common difference is 78, so no matter what we get ourselves into, the constant being added on at the end should be 78. That automatically throws out answer choice D.

But to narrow it down between the rest of them, you want to use the general form for the recursive formula and substitute (n + 1) for every instance of n. This will let you find tₙ₊₁ to match the requirements of your answer choices. So

tₙ₊₁ = t₍ₙ₊₁₎₋₁ + d ... Simplify the subscript

tₙ₊₁ = tₙ + d

Therefore, your formula for tₙ₊₁ = tₙ + 78, which is answer choice C.

6 0
3 years ago
Read 2 more answers
Diane is participating in a 4-day cross-country biking challenge. She biked for 57, 67, and 45 miles on the first three days. Ho
ella [17]

Answer:

139

Step-by-step explanation:

57+67+45=169÷3=139

6 0
3 years ago
Select a composite number to break into factors. Continue
IgorC [24]
I hope this helped! Mark me Brainliest! :) -Raven❤️

3 0
3 years ago
Read 2 more answers
A jar holds no more than 500 buttons. If 5 people bring 330 buttons each, how many jars are necessary to hold all of the buttons
Strike441 [17]

Answer:

We know

1 jar = 500 buttons

5 people bring 330 buttons EACH

We can find/solve by...

people x buttons = total buttons

total buttons / 500 = number of jars needed

So..

5 x 330 = 1650

1650 / 500 = 3.3

Your answer:

4 jars

Explanation

It's impossible to have 3.3 jars, so you must round up.

Step-by-step explanation:

8 0
3 years ago
Find the length of side x.
Nata [24]

Answer:

i think it is 61

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • A refrigerator is priced 525.50. There is a 6% sales tax rate. What is the sales tax for the refrigerator in dollars and cents?
    9·1 answer
  • The midpoint between two points is( 1 , 5 ). One of those points is ( 9 , 3 ), find the other. DUE in 2 HOURS, will give Brainli
    11·2 answers
  • It's going to be Lindsay's birthday soon, and her friends Martin, Sylvia, Tad, and Yvonne have contributed equal amounts of mone
    7·1 answer
  • The model of the car you are thinking of buying is available in four different colors and two different styles. in how many ways
    10·1 answer
  • Is -1/2 rational or irrational
    13·2 answers
  • Help!!!!! please!!!!!
    6·1 answer
  • What is 0.009% of 5000? Round to the nearest hundredth (if necessary).
    8·2 answers
  • Help Meh Once Again :)<br> (5 + 7)^2 =
    6·2 answers
  • Which type of graph would best show the number of chairs in each second grade classroom at an elementary school
    11·1 answer
  • 42 students are going on a field trip. The students are divided into groups of four Students. How many groups of four will there
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!