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3 years ago

2^(x-4) = 4a^(x-6) what is the value of x?

Mathematics

1 answer:

Shtirlitz [24]3 years ago

5 0

Answer:

First you have to make the values equal....

which is 2^(x-4)=2a^2(x-6).

then since 2 are equal and its x we are looking for.

x-4=2x-12.

x-2x=-12+4.

-x=-8.

x=8.

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Tell which set or sets the number below belongs to natural numbers, whole numbers, integers, rational numbers, irrational number

N76 [4]

Answer:

A,B,C,E,F

Step-by-step explanation:

The only one that it is not is irrational. I think this is correct and I hope it helps

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2 years ago

Simplify (-2x^4y^-3)^4

elixir [45]

Answer:

$( - 2 {x}^{4} {y}^{ - 3} )^{4} = \frac{16 {x}^{16}}{ {y}^{12} }$

Step-by-step explanation:

We want to simplify:

$( - 2 {x}^{4} {y}^{ - 3} )^{4}$

We need to apply the exponential property for products of powers.

Recall that:

$( {a}^{m} \times {a}^{n} )^{p} = {a}^{mp} \times {a}^{np}$

We apply this rule to get:

$( - 2 {x}^{4} {y}^{ - 3} )^{4} = ( { - 2)}^{4} x \times {x}^{16} \times {y}^{ - 12}$

This simplifies to:

$( - 2 {x}^{4} {y}^{ - 3} )^{4} = 16 {x}^{16} \times {y}^{ - 12}$

We rewrite as positive index to get:

$( - 2 {x}^{4} {y}^{ - 3} )^{4} = \frac{16 {x}^{16}}{ {y}^{12} }$

7 0

3 years ago

What is the measure of each interior angle of the regular polygon pictured below? If necessary, round to the nearest tenth.

sammy [17]

Answer:

144

Step-by-step explanation:

Sum of interior angles:

180(n-2)

180(10-2)

1440

Measure of each interior angle:

1440/10=144

8 0

2 years ago

Daria's goal is to run 7 miles each weekend.she ran 3 and 1/3 mules on saturday and 3 and 3/4 on Sunday. by how much did she bea

oksano4ka [1.4K]

She beat her goal. her total was 7 miles and 1/12 as she ran .1 miles longer find the lcd of 4 and 3 wich is 12 and add the num. to get 13 and that simplifed is 1 1/12+6 which is 7.1 or
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3 years ago

Zach wants to build a slanted skateboard ramp. He knows he wants the ramp to form a 15 degrees angle with the ground and be 4 fe

Fynjy0 [20]

Answer: The ramp would be 15.5 feet long.

Step-by-step explanation: Please refer to the attached diagram for details.

Angle C shows the angle to be formed by the ramp from the ground, which is 15 degrees. Also, from the ground, it’s going to be four feet tall, which is line AB. The top of the ramp is point A, which makes line AC the entire length of the ramp. Since we have a reference angle (angle C) and two sides, the opposite and the hypotenuse, we shall apply the trigonometric ratio.

SinC = opposite/hypotenuse

Sin 15 = 4/b

By cross multiplication we now have

b = 4/Sin15

b = 4/0.2588

b = 15.4599

Approximately b = 15.5

Therefore the length of the ramp would be 15.5 feet

6 0

3 years ago

2^(x-4) = 4a^(x-6) what is the value of x? ​

2^(x-4) = 4a^(x-6) what is the value of x?