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liq [111]
3 years ago
5

The prime factorization of 120 using exponents

Mathematics
1 answer:
Korvikt [17]3 years ago
4 0

120 = 2³ × 3 × 5

to obtain prime factors

120 ÷ 2 = 60

60 ÷ 2 = 30

30 ÷ 2 = 15

15 ÷ 3 = 5

5 ÷ 5 = 1

prime factors are 2³ × 3 × 5




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Cerrena [4.2K]

Answer:

$500

Step-by-step explanation:

$25 = 5% of x

0.05x = 25

x = 25/0.05

x = 500

Answer: $500

4 0
2 years ago
The depth of a lake is 15.8m
Leya [2.2K]

a. Jada got the measurement 16m.

b. The measured depth differ 0.2m from the actual depth.

c. There is a 12.66% error in calculation.

Step-by-step explanation:

Given,

The depth of lake = 15.8 m

a. Jada accurately measured the depth of the lake to the nearest meter. What measurement did Jada get

When a digit after the decimal point is 5 or more than that, the number before decimal is rounded to the next number.

Therefore,

15.8 rounded to nearest number is 16.

The depth of lake measured by Jada = 16 m

Jada got the measurement 16m.

b. By how many meters does the measured depth differ from the actual depth?

Difference = Approx - Exact

Difference = 16 - 15.8 = 0.2m

The measured depth differ 0.2m from the actual depth.

c. Express the measurement error ad a percentage of the actual depth.

Percent error = \frac{|approx-exact|}{exact}*100

Percent error = \frac{|2|}{15.8}*100 = \frac{200}{15.8}

Percent error = 12.66%

There is a 12.66% error in calculation.

Keywords: percent, error

Learn more about percent at:

  • brainly.com/question/9323337
  • brainly.com/question/9103248

#LearnwithBrainly

4 0
3 years ago
Simplify the expression c^-6 * d^4/ c^-16 * d^14​
Naily [24]

Answer:

\dfrac{c^{10}}{d^{10}}

Step-by-step explanation:

Although the way you wrote problem, this is not what it looks like, I think this is what you meant.

\dfrac{c^{-6} \times d^{4}}{c^{-16} \times d^{14}} =

= \dfrac{c^{-6}}{c^{-16}} \times \dfrac{d^{4}}{d^{14}}

= c^{-6 - (-16)} \times d^{4 - 14}

= c^{-6 + 16} \times d^{-10}

= c^{10} \times d^{-10}

= \dfrac{c^{10}}{d^{10}}

7 0
3 years ago
Please help me with this question look at the image. I will mark the brainiest.
Vsevolod [243]

Answer:

  5 ft

Step-by-step explanation:

The area of a trapezoid is given by the formula ...

  A = 1/2(b1 +b2)h

The height is found by solving this equation for h:

  2A/(b1 +b2) = h

  h = 2(25.5)/(3.2 +7) = 51/10.2 = 5 . . . . fill in the given values

The height of the trapezoid is 5 feet.

7 0
2 years ago
What is the perimeter and area of the figure?
Rudiy27

Perimeter is the sum of all outside dimensions:

5 + 3 + 1 + 2 + 4 + 5 = 20cm

Area = (5 x 5) - (2*1) = 25 - 2 = 23 cm^2

7 0
3 years ago
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