All categories

3 years ago

Determine the prime factorization of 36. 62 22 · 9 22 · 32 4 · 9

Mathematics

2 answers:

Zanzabum3 years ago

7 0

Answer:

its the 3rd one

Step-by-step explanation:

larisa [96]3 years ago

3 0

ANSWER
The prime factorization of 36 is
${2}^{2} \times {3}^{2}$

EXPLANATION

We want to find the prime factorization of 36.

The prime numbers that are factors of 36 are
$2 \: and \: 3$

So we find the number of times these two prime factors will multiply to get 36.

Thus,

$36 = 2 \times 2 \times 3 \times 3$

Thus gives
$36 = {2}^{2} \times {3}^{2}$

You might be interested in

muminat

Answer:

y = 3x + 3

Step-by-step explanation:

when you check, only that equation delivers the correct x and y pairs.

x = 0, => y = 3×0 + 3 = 3

x = 1, y = 3×1 + 3 = 3+3 = 6

x = 2, y = 3×2 + 3 = 6 + 3 = 9

x = 3, y = 3×3 + 3 = 9 + 3 = 12

it all fits.

6 0

2 years ago

A circle is inscribed a in a square. The side length of the square is X in. If the area of the shaded region is 20 pie, what is

Alborosie

Answer:

8.555 in.

Step-by-step explanation:

So the area of the square is x^2.

This makes that the area of the circle is x^2 - 20 pie.

The radius of the circle is half of the diameter, so it is 0,5x.

The formula for the circle area is:

Area = pie * r^2.

x^2 - 20 pie = pie * (0,5x)^2

x^2 - 20 pie = pie * 0,25x^2

x^2 - pie * 0,25x^2 = 20 pie

x^2 * (1 - 0,25 pie) = 20 pie

x^2 = 20pie / (1 - 0,25 pie)

x = square root (20pie / (1 - 0,25 pie)) = 17.11

So the radius is 0,5 * 17.11 = 8.555 in.

6 0

3 years ago

California is 0.5 minutes. To investigate the validity of this claim a random sample of 6 earthquakes were taken and the sample

iren [92.7K]

Answer:

98% confidence interval for the mean is

(0.72689 , 1.57311)

Step-by-step explanation:

Given random sample size 'n' = 6

Given sample mean x⁻ = 1.15

Given sample standard deviation 'S' = 0.308

98% confidence interval for the mean is determined by

$(x^{-} - t_{\frac{\alpha }{2} } \frac{S}{\sqrt{n} } , x^{-} + t_{\frac{\alpha }{2} } \frac{S}{\sqrt{n} } )$

Degrees of freedom ν =n-1 =6-1 =5

Critical value : -

$t_{\frac{0.02}{2} } = t_{0.01} = 3.365$

98% confidence interval for the mean is determined by

$(1.15 - 3.365\frac{0.308}{\sqrt{6} } , 1.15+ 3.365\frac{0.308}{\sqrt{6} } )$

On calculation , we get

( 1.15 - 0.42311 , 1.15+ 0.42311)

(0.72689 , 1.57311)

Final answer:-

98% confidence interval for the mean is

(0.72689 , 1.57311)

4 0

3 years ago

A cleaning specalist buys a 130 ounce bottle of bleach and divides it into 10 sepreat bottles. what are the possible numbers of

Free_Kalibri [48]

The cleaning specialist has 10 separate bottles to fill, therefore, this is the maximum possible number of bottles she can fill bleach with.

8 0

3 years ago

Work out and give answer in standard form (4.32x10^-5 )divided by (7.5x10^-8)

Nana76 [90]

Answer:

$sln \\ 5.76 {}^{ 12}$

7 0

3 years ago