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olga nikolaevna [1]
2 years ago
8

X to the third power = 1 over 8

Mathematics
1 answer:
jeka57 [31]2 years ago
7 0

Answer:

1/2

Step-by-step explanation:

x^3=1/8.

We know 2^3(2*2*2)=8. So 1/2*1/2*1/2=1/8.

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Find the area of a circle whose area equals the half of the sum of the areas of two circles with radil 2 and 3.
OlgaM077 [116]

Step-by-step explanation:

step 1. a circle with r = 2 has area of (pi)r^2 = (pi)(4) = 4pi

step 2. a circle with r = 3 has area of (pi)r^2 = (pi)(9) = 9pi

step 3. the area, A, of a circle is half the sum of the area of the circles with r = 2 and r = 3

step 4. A = (4pi + 9pi)/2 = 13pi/2 = 6.5(pi).

step 5. the answer is not 6.5 but is 6.5(pi) or 6.5 times pi.

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2 years ago
According to the same report, the 28.5 million passengers in 2018 represented a 6.7% increase in cruise passengers since 2017. h
Alisiya [41]

The number of cruise passengers must there have been in 2017 is  26.7 million.

<h3>What is percentage?</h3>

The term "percentage" comes from the Latin phrase "per centum," meaning "by the hundred." Percentages represent fractions with a denominator of 100. In other terms, it is the relationship between portion and whole in which the value of the whole is always assumed to be 100.

Now according to the question;

Let x represent the total number for cruise passengers during 2017.

In 2018, a 6.7% rise in x results in 28.5 million cruise passengers.

So, 106.7 % of x = 28.5

\begin{aligned}&\frac{106.7}{100} * x=28.5 \\&\frac{106.7 x}{100}=28.5\end{aligned}

Multiplying both sides by 100;

\begin{aligned}&\frac{106.7 x}{100} * 100=28.5 * 100 \\&106.7 x=2850\end{aligned}

Dividing both sides by 106.7;

\frac{106.7 x}{106.7}=\frac{2850}{106.7}

x = 26.7

Therefore, the number of cruise passengers in 2017 must have ranged from 26.7 million.

To know more about the percentage, here

brainly.com/question/24304697

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Consider the polynomial function p given by p(x)=7x^3-2x^2+3x+10. Evaluate the function for p(-3). Show your work.
Norma-Jean [14]

Answer:

p(-3)=-206

Step-by-step explanation:

p(-3)=7x^3-2x^2+3x+10

p(-3)=7(-3)^3-2(-3)^2+3(-3)+10

p(-3)= 7(-27)-2(9)-9+10

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p(-3)= -206

In the function p(x), the leading coefficient is 7, the constant is 10, and the degree is 3.

Hope this helps!

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