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andre [41]
3 years ago
12

Which expressions show the prime factorization of 90?

Mathematics
1 answer:
Andreas93 [3]3 years ago
7 0
Prime factorization means that we divide 90 by prime numbers only.

90 ÷ 2 = 45
45 ÷ 3 = 15
15 ÷ 3 =   5

2 x 3 x 3 x 5 = 90

2 x 3² x 5 = 90 
or 2,3,3,or 5

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6 0
3 years ago
1. If a tank leaks 10 mL of fluid each hour, how long will it take to fill up a one liter jar?
AnnZ [28]
Q1. The answer is 100 hours


10 ml is for 1 hours
1l is for x hours
1l = 1000 ml

So, make a proportion: 
10 ml is for 1 hours
1000 ml is for x
10 ml : 1h = 1000 ml : x
x = 1h * 1000 ml : 10 ml = 100 hours



Q2. The answers are:

1. kg - measurement of mass
2. cm² - measurement of area
3. L - measurement of volume (1L = 1 dm³)
4. m - measurement of length
8 0
3 years ago
The perimeter of a rectangle is 32cm, its length is more than its width by 2 what's the area​
White raven [17]

Answer:

63 cm^2

Step-by-step explanation:

p = l + w + l + w

32 = 2l + 2w

32 = 2(w + 2) + 2w

32 = 2w + 4 + 2w

32 = 4w + 4

28 = 4w

7 = w

l = w + 2

l = 7 + 2

l = 9

Check your work:

32 = 9 + 7 + 9 + 7

32 = 32

Correct

A = l × w

A = 9 × 7

A = 63

3 0
3 years ago
After transforming f(x) = 2x² +4x + 3 into vertex form, the vertex is easily identifiable. Which ordered pair is the vertex?
jolli1 [7]

The vertex is (-1,1)

Explanation:

The equation is f(x)=2x^{2} +4x+3

To find the vertex, we need the equation in the form of f(x)=a (x-h)^{2}+k

Dividing each term by 2 in the equation f(x)=2x^{2} +4x+3

f(x)=2(x^{2} +2x+\frac{3}{2} )

Now, completing the square by adding and subtracting 1, we get,

f(x)=2(x^{2} +2x+1-1+\frac{3}{2} )

The first three terms can be written as (x+1)^{2},

f(x)=2[(x+1)^{2}+\frac{1}{2}  ]

Multiplying 2 into the bracket, we get,

f(x)=2(x+1)^{2} +1

This equation is of the form f(x)=a (x-h)^{2}+k

Now, we shall find the vertex (h,k)

Thus, h=-1 and k=1

Thus, the vertex is (-1,1)

7 0
3 years ago
Is 8.6x10^7 written in scientific notation
yKpoI14uk [10]

Answer:

86000000

Step-by-step explanation:

86000000

Move the decimal point 7 places to the left.

8.6000000*107

Answer:

8.6 x10^7

^So it's 86000000

6 0
3 years ago
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