What is the height of the prism shown below?<br> 25<br> 13<br> 7<br> 10

Find the smallest number by which 8788 must be multiplied so that the quotient is a perfect cube. Also, find the cube root of th

joja [24]

Answer:

Hi ,

Cube of a number :

_______________

For a given number x we define cube

of x = x × x × x , denoted by x^3.

A given Natural number is a perfect

Cube if it can be expressed as the

product of triplets of equal factors.

Now ,

Write given number as product of

prime .

8788 = 2 × 4394

= 2 × 2 × 2197

= 2 × 2 × 13 × 169

= 2 × 2 × 13 × 13 × 13

= 2 × 2 × ( 13 × 13 × 13 )

Here we have only triplet of equal

factors i.e 13

To make 8788 into perfect Cube we

have multiply with 2.

Now ,

2 × 8788 = ( 2 × 2 × 2 ) × ( 13 × 13 × 13 )

17576 = ( 2 × 13 )^3 = ( 26 )^3 perfect

Cube

I hope this will useful to you.

7 0

3 years ago

I need help plz help me thx

Travka [436]

Answer:

A) volume of ingredients

i’m pretty sure this is the correct answer

5 0

3 years ago

Read 2 more answers

Help it is so hard.And my teacher expects it done.

creativ13 [48]

If you can take a better picture of it I will be able to answer the questions for you

3 0

2 years ago

The elements of a function of x are (5, 6), (50, 15), and

Lelechka [254]

Answer:

i try my best to find the answer if i can give me some time when i will find then i will tell you

Step-by-step explanation:

4 0

2 years ago

Write a function to represent each problem situation Carmen deposits $1000into simple interest account.The rate for the account

kolezko [41]

The function the represent the balance in the account as a function of time t is p(t) = 1000 + 40t

<h3><u>Solution:</u></h3>

Given that,

Carmen deposits $1000 into simple interest account

The rate for the account is 4%

To find: function the represent the balance in the account as a function of time t

Given is simple interest account

The formula for simple interest is given as:

$S.I = \frac{ prt}{100}$

Where, "p" is the principal and "r" is the rate of interest and "t" is the number of years

In simple interest,

total amount after "t" years = principal + simple interest

Here in this question, Carmen deposits $1000

$p_0 = 1000$

$r = 4 \% = \frac{4}{100} = 0.04$

Thus we can frame a function as:

total amount after "t" years = principal + simple interest

$p(t) = p_0 + (p_0 \times r \times t )$

$p(t) = 1000 + (1000 \times 0.04)t\\\\p(t) = 1000 + 40t$

Where, p(t) is the amount after "t" years and $p_0$ is the principal sum

Thus the function is obtained

7 0

3 years ago

What is the height of the prism shown below? 25 13 7 10