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2 years ago

Solve for (2/5)^8x=25/4

Mathematics

1 answer:

Levart [38]2 years ago

5 0

Answer:

X=-1/4

Step-by-step explanation:

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Simplify<br> -1/2 + 3-4x + 5 + 3/2x<br> Enter your answer in the box.

Kamila [148]

This simplifies to 8 - 4 + 2/2 which can be
8 - 4 + 1 = 8 - 3, so the simplest form is 8 - 3.

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3 years ago

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Determine the volume of a sphere with a great circle of radius 12 cm.

RUDIKE [14]

Answer:

7238 cm³

Step-by-step explanation:

The radius of the great circle is the radius of the sphere.

The formula for the volume of a sphere is

V = ⁴/₃πr³

V = ⁴/₃π (12)³ = ⁴/₃π × 1728 = 2304π cm³ ≈ 7238 cm³

5 0

3 years ago

As a first step, what must be done to both sides of the equation? -5n - -2 = 27? A) divide by 5 B) subtract 2 C) add 2 D) multip

galben [10]

The answer is A) Divide by Five

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3 years ago

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Which three-dimensional figure is formed by the rotation given?

marysya [2.9K]

A line being rotated in such a way I would think would be A

5 0

3 years ago

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Identify a pattern in the given list of numbers. Then use this pattern to find the next number.

Rom4ik [11]

Answer:

The given sequence is geometric sequence

In the given pattern we have next number is $a_5=\frac{1}{4}$

Step-by-step explanation:

Given numbers are 64,-16,4,-1

To identify the pattern of the given numbers :

Let $a_1=64$ , $a_2=-16$ , $a_3=4$ and $a_4=-1$

To find the next number that is $a_5$

common ratio $r=\frac{a_2}{a_1}$

$=\frac{-16}{64}$

$r=-\frac{1}{4}$

$r=\frac{a_3}{a_2}$

$=\frac{4}{-16}$

$r=-\frac{1}{4}$

Therefore the common ration is $r=-\frac{1}{4}$

Therefore the given sequence is geometric sequence

The nth term of the geometric sequence is $a_n=a_1r^{n-1}$

Now find the 5th term so put n=5 , $a_1=64andr=\frac{-1}{4}$ we have

$a_5=64(\frac{-1}{4})^{5-1}$

$=64(\frac{-1}{4})^{4}$

$=64(\frac{1}{4})^{4}$

$=64(\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4})$

$=\frac{1}{4}$

Therefore $a_5=\frac{1}{4}$

8 0

3 years ago