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4 years ago

10

Help Please !

1 answer:

Mamont248 [21]4 years ago

6 0

The answer is <span>Sum of Cubes.

Since there is sign +, we expect it to be the sum. Among all choices, only the last one includes summation, and that is sum of cubes.

Let's check it out.
Sum of cubes can be expresses as:
a</span>³ + b³ = (a + b)(a² - ab + b²)

Let's see what are cube roots of 125 and 8:
∛125 = ∛5·5·5 = ∛5³ = 5 ⇒ a = 5
∛8 = ∛2·2·2 = ∛2³ = 2 ⇒ b = 2

Now, let's implement that in the equation of sum of cubes:
5³ + 2³ = (5 + 2)(5² - 5·2 + 2²)
125 + 8 = 7 · (25 - 10 + 4)
133 = 7 · 19
133 = 133

Therefore, sum of cubes is the right answer.

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Use the rules of exponents to evaluate and simplify the following expression. Type all without negative exponents. Do not distri

Rainbow [258]

We are given (xy)^(-3).

This leads to 1/(xy)^3.

You see, going from the top to the bottom alters the sign of the exponent to its opposite.

ANSWER: 1/(x^3•y^3)

Did you follow?

5 0

4 years ago

A colleague has been tutoring six students in 11th grade to prepare for the ACT. This colleague has asked you to evaluate the pe

marissa [1.9K]

We have been given that a colleague has been tutoring six students in 11th grade to prepare for the ACT. Student scores were as follows: 20, 18, 16, 15, 23, 20. We are asked to find the mean of the ACT scores.

We will use mean formula to solve our given problem.

$\text{Mean}=\frac{\text{Sum of terms}}{\text{Number of terms}}$

$\text{Mean}=\frac{20+18+16+15+23+20}{6}$

$\text{Mean}=\frac{112}{6}$

$\text{Mean}=18.66666$

Upon rounding to nearest whole number, we will get:

$\text{Mean}\approx 19$

Therefore, the mean of the ACT scores is 19 and option 'c' is the correct choice.

5 0

3 years ago

Two column proofs Beginner's

Darina [25.2K]

LETS prove the 2nd part of the Question

Here concept of right angles is used

We can see BA is perp to BD

and BC is perp to BE

We have to prove angle 1 = angle 3

i will denote angle by a

therefore we need to prove a1 = a3

as BA is perp to BD hence angle between them will be 90 degree

a1 + a2 = 90 degree

Similarly BC is perp to BE

a2 + a3 = 90 degree

as both equations add up gives 90 degree so will equate them

a1 + a2 = a2 + a3

which means a1 = a3

Hence Proved

To learn more about Right Angles:

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3 0

1 year ago

There are 12 crayons in a box. How many boxes will be needed for 8 children if each child gets 7 crayons?

nata0808 [166]

Each child gets =7×8=56crayoms

One box contains 12 crayons

Total boxes

56/12
4.66

Round to next whole as we can't have depict

5 boxes

8 0

2 years ago

To determine the number of squirrels in a conservation area a researcher cashers tags and releases 114 squirrels you later catch

Ede4ka [16]

Answer:

336 squirrels

Step-by-step explanation:

-This is a Mark-Recapture method.

-The population is estimated using the formula:

$N=\frac{MC}{R}$

where:

N-is the estimated population size.
M-is the number of individuals tagged
C- is the total number captured the second time(both tagged and untagged)
R-is the total number of tagged individuals recaptured.

#We substitute our values as follows to estimate N:

$N=\frac{MC}{R}\\\\=\frac{114\times 97}{33}\\\\=335.0909\approx336$

Hence, there are approximately 336 squirrels in the conservation area.

*population is always rounded up to the next whole number.

5 0

3 years ago