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Sergio039 [100]
3 years ago
15

Solve 64^x = 16^x−1.

Mathematics
2 answers:
erica [24]3 years ago
7 0
64^x=16^x-1====> Make the bases the same
4^3(x)=4^2(x-1)=> Solve for x by bringing down the exponent without the base.
3(x)=2(x-1)=====> Distribute
3x=2x-2======> Now solve for x
3x = 2x-2
-2x  -2x
x=-2
Therefore x is negative two
tresset_1 [31]3 years ago
6 0

Answer:

x = -2

Step-by-step explanation:

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Suppose that the populations of the United States and China both increase by 12 million people in one year. What would be the re
Jlenok [28]

Question:

Suppose that the populations of the United States and China both increase by 12 million people in one year. What would be the relative change for each country? Answer to the nearest tenth of a percent (1 decimal place). Make sure that you fill in each answer area before checking "How Did I Do?".

If you assume that the U.S. population is about 300 million, an increase of 12 million would result in a relative change of Number %.

If you assume that China has about 1 billion people, an increase of 12 million would result in a relative change of Number %.

Answer:

The relative change of the United States and China is 4% and 1.2%, respectively.

Step-by-step explanation:

Given

Represent population with p. So, we have:

United States

\triangle p = 12\ million

p_1 =300\ million

China

\triangle p = 12\ million

p_1 =1\ billion

Required

Determine the relative change for each country

Relative change, C is calculated as:

C = \frac{\triangle p}{p} * 100\%

For United States

C = \frac{12\ million}{300\ million} * 100\%

C = \frac{12}{300} * 100\%

C = \frac{12 * 100}{300}\%

C = \frac{1200}{300}\%

C = 4\%

For China

C = \frac{12\ million}{1\ billion} * 100\%

C = \frac{12}{1000} * 100\%

C = \frac{12* 100}{1000} \%

C = \frac{1200}{1000} \%

C = 1.2\%

The relative change of the United States and China is 4% and 1.2%, respectively.

3 0
3 years ago
David went to a fast-food shop for a meal in a late evening. Only steak, pork chop and grilled chicken were available for main c
Doss [256]

six

Step-by-step explanation:

the reason is this: let steak be (s), pork  be (p), grilled chicken be (gc), tea be (t), and coffee be (c)

now, we want to find the total number of outcomes, and this cannot be determined by a simple roll of the dice. you have to count the sample space required for EVERY outcome, and it has to lie within the conditions. so, assuming David only takes 1 main course and 1 drink, he would be down to six  option, which are :

1. s & t

2. s & c

3. p & t

4. p & c

5. gc & t

6. gc & c

5 0
3 years ago
Jeanne thinks that x+x is the same as x•x. Is this true? Why? Why not?
NARA [144]
Generally, x <span>• x is accepted to mean "x times x" or "x multiplied by x"

and x+x means "x plus x" or "x added to x"

let's try by subsituting numbers for them
if we can find one case where the statement "x+x is the same as x</span><span>•x" is false, then it is not true


let's try x=4
x+x=x</span><span>•x
4+4=4</span>•<span>4
8=16
false



so it is not true
(x+x is equal to 2x, so therefor if we were to solve 2x=x</span><span>•x, we would get that it is only true for x=2 and x=0)

it is not always true
</span>
6 0
3 years ago
Read 2 more answers
Write an equation to represent the function.
svet-max [94.6K]

Answer:

<u>f(x) = 50 + 25(x - 1)</u>

Step-by-step explanation:

Let's write an equation to represent the function that will allow Damon to calculate the cost of his video game membership service:

Lifetime membership fee = $ 50

First video game is free

Then any video game purchased after = $ 25.

Let x to represent the total cost of the video game membership service, in consequence we can write the equation this way:

<u>f(x) = 50 + 25(x - 1)</u>

  • If x = 1, then f(1) = 50 + 0 = 50
  • If x = 2, then f(2) = 50 + 25 = 75
  • If x = 5, then f(5) = 50 + 100 = 150
5 0
3 years ago
If 40% of the students in the class are boys, and if there are 15 girls in the class, then how many students are in the class? *
OleMash [197]

Answer:

25

Step-by-step explanation:

15/6.0=2.5

2.5x4=10

2.5x6=15

10+15=25

10 boys and 15 girls

6 0
3 years ago
Read 2 more answers
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