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Free_Kalibri [48]
3 years ago
7

Which of the following shows a number as a product of prime numbers in exponential form? Choose all that apply.

Mathematics
1 answer:
dexar [7]3 years ago
6 0
The first expression 3^2 · 5 · 7 and the fourth expression 3^3 · 11 show a number as a product of prime numbers in exponential form.

3^2 · 5 · 7 shows 315 as a product of prime numbers 3, 5 and 7, that is 3 · 3 · 5 · 7 

In 4^2 · 5 · 7, the number 4 is composite which can still be written as product 2 · 2

For the third one 3^3 · 8, the number 8 is composite which can still be written as product 2 · 2 · 2

The fourth expression 3^3 · 11 shows 99 as a product of prime numbers 3 and 11 which is 3 · 3 · 11
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Select the coordinates of two points that are on the line x = 5
kolbaska11 [484]

Answer:

(5,0) and (5,-2)

Step-by-step explanation:

we know that

If two points are on the line x=5, then the x-coordinates of the points must be equal to 5

therefore

The coordinates of two points that are on the line x=5 are

(5,0) and (5,-2)

4 0
4 years ago
Find the following, giving your answers to 1 decimal place?
sweet [91]

Answer:

I. Volume = 301.6 cm³ (to 1d.p)

II. CSA = 188.5 cm² (to 1d.p)

Step-by-step explanation:

<u>Given the following data;</u>

Height, h = 8cm

Radius, r = 6cm

Curved length = 10cm

a. To find the volume of the cone

V = \frac{1}{3} \pi r^{2}h

Where;

  • V is the volume of the cone.
  • r is the radius of the base of the cone.
  • h is the height of the cone.

Substituting into the equation, we have;

Volume = \frac{1}{3} * 3.142*6^{2}*8

Volume = \frac{1}{3} * 3.142*36*8

Volume = 3.142*12*8

<em>Volume = 301.6 cm³</em><em> </em>(to 1d.p)

b. The curved surface area of the cone

CSA = \pi rl

Where;

  • CSA is the curved surface area of the cone.
  • r is the radius of the base of the cone.
  • l is the curved length of the cone.

Substituting into the equation, we have;

CSA = 3.142*6*10

<em>CSA = 188.5 cm²</em> (to 1d.p)

8 0
3 years ago
my number has a ten digit that is 8 more than the ones digit. zero is not one of my digits. my number is?
kaheart [24]
It should be 91 because 8 + 1 = 9, and if you go any further, it would turn into the hundreds place
4 0
3 years ago
If 3x + 2y= 14 and 5x + 3y = 12, then find the value of 5x- y.
Ksju [112]
I think the answer would be negative 124 NOT SURE
6 0
3 years ago
Does y=8(1.04) have a growth of 4%
slavikrds [6]

Answer:

Yes it does.

Step-by-step explanation:

Because if it was a decay of 4 percent it would have been

y=8(.96)

5 0
3 years ago
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