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2 years ago

Simplify: ((x-5)3/2)^2/3 X-5 (x - 5)^2 (x – 5^)3

Mathematics

1 answer:

netineya [11]2 years ago

7 0

Answer:

x - 5

Step-by-step explanation:

$((x - 5) {}^{ \frac{3}{2} } ) {}^{ \frac{2}{3} }$

$(x - 5) {}^{ \frac{3}{2} } { \times }^{ \frac{2}{3} }$

$(x - 5) {}^{ \frac{6}{6} }$

$(x - 5) {}^{1}$

Therefore x - 5

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How do you write an exponential equation for this problem

Serhud [2]

Let's think about the information in the problem. The problem tells us a few key points:

The number of rabbits grows exponentially
We start with 20 rabbits ( $t = 0$ , $a = 20$ )
After 6 months ( $t = 6$ ), we have 100 rabbits ( $a = 100$ )

Since we know we are going to be working with an exponential model, we can start with a base exponential model:

$a = P \cdot r^t$

$P$ is the principal, or starting amount
$r$ is the growth/decay rate (in this case, growth)
$t$ is the number of months
$a$ is the number of rabbits

Based on the information in the problem, we can create two equations:

$20 = P \cdot r^0 = P$

$100 = P \cdot r^6$

The first equation tells us that $P = 20$ , or that we start with 20 rabbits. Thus, we can change the second equation to:

$100 = 20 \cdot r^6$

$5 = r^6$

Now, we don't know $r$ , but we want to, so let's solve for it.

$5 = r^6$

$r = \sqrt[6]{5}$

Now, the problem is asking us how many rabbits we are going to have after one year ( $t = 12$ ), so let's find that:

$a = 20 \cdot (\sqrt[6]{5})^{12}$

$a = 20 \cdot (5^{\frac{1}{6}})^{12}$

$a = 20 \cdot 5^2$

$a = 500$

After one year, we will have 500 rabbits.

6 0

2 years ago

Can somebody help please.

Shtirlitz [24]

The standard form will be:

a. 3.15

b. 3.015

<h3>How to calculate the value?</h3>

It should be noted that the question is simply about converting the expanded form to standard form.

This will be:

(3 × 1) + (1 × 0.1) + (5 × 0.01)

= 3 + 0.1 + 0.05

= 3.15

b. (3 × 1) + (1 × 0.01) + (5 × 0.001)

= 3 + 0.01 + 0.005

= 3.015

Learn more about computations on:

brainly.com/question/4658834

#SPJ1

5 0

1 year ago

The ratio of ebooks to novels is 4:5. if there are 32 ebooks how many novels are there?

12345 [234]

<h3>Answer: 40 novels</h3>

================================================

Work Shown:

n = number of novels

(32 ebooks)/(n novels) = 4/5

32/n = 4/5

32*5 = n*4 ............ cross multiply

160 = 4n

4n = 160

n = 160/4 .............. dividing both sides by 4

n = 40

There are 40 novels.

4 0

3 years ago

Write 1 and 1/5 and 1 and 1/3 using a common denominator :)

RUDIKE [14]

Answer:

1 3/15

1 5/15

Step-by-step explanation:

6 0

2 years ago

A stocker put 57 boxes of detergent on the shelves in 2 minutes. After 5 minutes, he had put 117 boxes on the shelves. How many

erastovalidia [21]

<span>57 boxes of detergent on the shelves in 2 minutes
</span><span>After 5 minutes, he had put 117 boxes on the shelves

117 - 57 = 60 (60 </span>boxes of detergent for 3 minutes)
60/3 = 20 (20 boxes of detergent per minute)
so

20 x 5 = 100 boxes of detergent

117 - 100 = 17 boxes

answer
17 boxes of detergent <span>were on the shelves when he started</span>

7 0

3 years ago

Read 2 more answers