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3 years ago

Find m when 4^(m)*4^(2)=12

Mathematics

1 answer:

miv72 [106K]3 years ago

4 0

Step-by-step explanation:

4^m * 4^2 = 12

4^(m + 2) = 4^(log4 12)

m + 2 = log4 (12)

m = log4 (12) - 2.

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Find the scale factor of the line segment dilation.

pav-90 [236]

The correct answer is
D) 1/2
because
5/10 = 1/2

3 0

4 years ago

Target sells AAA batteries for $1.10 and AA batteries for $0.50. They sold 350 total batteries earning a total of $560. How many

satela [25.4K]

Answer:

This is not possible because the selling of number of AA batteries cannot be negative.

Step-by-step explanation:

Let us assume that the number of AAA batteries sells be x .

Let us assume that the number of AA batteries sells be y.

As given

Target sells AAA batteries for $1.10 and AA batteries for $0.50. They sold 350 total batteries earning a total of $560.

Equations becomes

x + y = 350

1.10x + 0.50y = 560

Simplify the above equation

$\frac{110x}{100} + \frac{50y}{100} = 560$

110x + 50y = 56000

Two equations becomes

x + y = 350

110x + 50y = 56000

Multiply x + y = 350 by 50 and subtracted from 110x + 50y = 56000 .

110x - 50x + 50y - 50y = 56000 - 17500

60x = 38500

$x = \frac{38500}{60}$

x = 641 .6 (Approx)

Put this value in the equation x + y = 350 .

641.6 + y = 350

y = 350 - 641.6

y = -291.6

This is not possible because the selling of number of AA batteries cannot be negative.

3 0

3 years ago

Simplify the question above

andrey2020 [161]

Answer:

$1 + \frac{3}{x}$

Step-by-step explanation:

1) Rewrite x² - 9 in the form a² - b² where, a = x and b = 3.

$\frac{ {x}^{2} - {3}^{2} }{ {x}^{2} - 3x}$

2) use difference of squares: a² - b² = ( a + b ) (a - b).

$\frac{(x + 3)(x - 3)}{ {x}^{2} - 3x}$

3) Factor out the common term x.

$\frac{(x + 3)(x - 3)}{ x(x - 3)}$

4) Cancle out x - 3 .

$\frac{x + 3}{x}$

5) Simplify.

$1 + \frac{3}{x}$

Therefor, the answer is 1 + 3/x.

6 0

3 years ago

Read 2 more answers

How many quarts of pure antifreeze must be added to 2 quarts of a 10% antifreeze solution to obtain a 30% antifreeze solution

MrRa [10]

Answer:

x: 1/4=0.25 quarts of 100% antifreeze

Hope this helps

3 0

3 years ago

5x2^3 Please help!!!

HACTEHA [7]

I believe the answer is 40

3 0

4 years ago