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AlladinOne [14]
3 years ago
10

Given that 4704/m = n^2, where m and n are whole numbers and n is as large as possible, find the value of m and of n

Mathematics
1 answer:
Andrews [41]3 years ago
5 0

Answer:

n=28,m=6

Step-by-step explanation:

Rearrange to give 4704 = m * n^2

Express 4704 in its prime factorisation:

2^5 * 3^1 * 7^2

We know that n must be as large as possible and, because it is squared, be the even numbers.

We get n^2 = 2^4 * 7^2 so n = 2^2*7 = 28

m is the leftovers

2^1*3 = 6

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An unopened cereal box contains `15/28` cubic foot of cereal. If the box is full, and the length and height of the box are `5/7`
babymother [125]

Answer:

A. `1/2` foot

Step-by-step explanation:

The computation of the width of the box is shown below:

15 ÷ 28 = (5 ÷ 7)(1 1 ÷ 2)(width)

15 ÷ 28 = (5 ÷ 7)(3 ÷ 2)width

15 ÷ 28 = (15 ÷ 14)width

(15 ÷ 28) ÷ (15 ÷ 14) = width

(15 ÷ 28) × (14 ÷ 15) = width

w = 14 ÷ 28

= 1 ÷ 2 ft

7 0
3 years ago
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Which net represents this box?​
timofeeve [1]

Answer:

image

Step-by-step explanation:

4 0
3 years ago
The path followed by a roller coaster as it climbs up and descends down from a peak can be modeled by a quadratic function, wher
Romashka [77]

Answer:

y = -0.1x^2 + 250 ft

Step-by-step explanation:

Because this quadratic equation would have the curve-down form of:

y = -ax^2 + b

where a and b are positive coefficient.

If we let the peak (250 ft) of the curve be at x = 0. Then

y = -a0^2 + b = 250

b = 250

Also at the begins and ends, thats where y = 0, the 2 points are separated by 100 ft. So let the begin at -50 ft and the end at 50ft. We have

-a(\pm 50)^2 + 250 = 0

-a2500 = -250

a = 250/2500 = 0.1

Therefore, the model quadratic equation of our path would be

y = -0.1x^2 + 250 ft

8 0
3 years ago
The hypotenuse of a right
Lina20 [59]
None I would think because none of them are them because if you it is not the
8 0
3 years ago
HELLLP<br> Simplify the following expression.
Yanka [14]
Exponential laws

x^-m=1/(x^m)
and (x^m)(x^n)=x^(m+n)

so

(3^-4)(3^2)=
3^(-4+2)=
3^-2=
1/(3^2)=
1/9

the answer is A


7 0
3 years ago
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