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kramer
2 years ago
14

150-(2+x)^3 when x equals 2

Mathematics
2 answers:
Schach [20]2 years ago
8 0

Answer:

86

Step-by-step explanation:

150 - (2 + x)³

=> 150 - (2 + 2)³

=> 150 - (4)³

=> 150 - 64

=> 86

Therefore, 86 is the correct answer.

stira [4]2 years ago
7 0

Hey!

Let's work through this problem together.

1st and most important step is that we use order of operations as we go left to right.

P.E.M.D.A.S: Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction.

First, The parenthesis, which is (2+x), or (2+2), which is 4.

So now, the equation looks like: 150-4^3.

Next, Exponents. 4^3 is 4x4x4. 4x4=16. 16x4=64.

So now the equation looks like this: 150-64.

Lastly, we subtract. 150-64=86.

<h2>So, your answer is 86.</h2><h2 />

Hope this helps!

<h2><em>~~~PicklePoppers~~~</em></h2>
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lorasvet [3.4K]

Answer:

a^2 - 25.

Step-by-step explanation:

(5 + a)(-5 + a)

= -25 + 5a - 5a + a^2

= a^2 - 25.

4 0
3 years ago
Test the claim that the mean GPA of night students is larger than 3.1 at the .10 significance level. The null and alternative hy
Alborosie

Answer:

H 0 : μ = 3.1    H 1 : μ > 3.1

And this test is defined a a right tailed test since the symbol for the alternative hypothesis H1 is >.

t = \frac{3.13-3.1}{\frac{0.03}{\sqrt{75}}}= 8.66

df = n-1=75-1 =74

The p value is:

p_v = P(t_{74} >8.66) =3.65x10^{-13}

The significance level is: 0.1 or 10%

And since the p value is very low compared to the significance level we have enough evidence to:

Reject the null hypothesis

Step-by-step explanation:

For this case we want to test the claim that mean GPA of night students is larger than 3.1 at the .10 significance level. The claim needs to be on the alternative hypothesis so then we have the following system of hypothesis:

H 0 : μ = 3.1    H 1 : μ > 3.1

And this test is defined a a right tailed test since the symbol for the alternative hypothesis H1 is >.

We have the following info given:

\bar X = 3.13 , s =0.03 , n =75

The statistic to check the hypothesis is given by:

t = \frac{\bar X -\mu}{\frac{s}{\sqrt{n}}}

Replacing the info given we got:

t = \frac{3.13-3.1}{\frac{0.03}{\sqrt{75}}}= 8.66

The degrees of freedom are given by:

df = n-1=75-1 =74

The p value since is a right tailed ted is given by:

p_v = P(t_{74} >8.66) =3.65x10^{-13}

The significance level is 0.1 or 10%

And since the p value is very low compared to the significance level we have enough evidence to:

Reject the null hypothesis

6 0
3 years ago
12a^2*b^4-36a^2*b+44abc
spayn [35]

Let's simplify step-by-step.

12a^2*b^4-36a^2*b+44abc=

There are no like terms.

Answer:

12a^2*b^4-36a^2*b+44abc=

5 0
2 years ago
Find the prime factors.<br> 7) 48
FinnZ [79.3K]

Step-by-step explanation:

48 = 48 \times 1 \\ 48 = (24 \times 2) \times 1 \\ 48 = (12 \times 2) \times 2 \times 1 \\ 48 = (6 \times 2) \times 2 \times 2 \times 1 \\ 48 = (3 \times 2) \times 2 \times 2 \times 2 \times 1

7 0
2 years ago
A submarine cruises underwater at 20 km/h and on
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Answer:

System of equations:

20x + 30y = 650

x + y = 25

Time underwater = 10 hours

Time at the surface = 15 hours

Step-by-step explanation:

Let x = time underwater at 20 km/h.

Let y = time on the surface at 30 km/h.

speed = distance/time

distance = speed * time

distance underwater: 20x

distance on the surface: 30y

total distance: 650

20x + 30y = 650

total time: x + y

total time: 25

x + y = 25

20x + 30y = 650

x + y = 25

20x + 30y = 650

-20x - 20y = -500

--------------------------------

          10y = 150

              y = 15

x + y = 25

x + 15 = 25

x = 10

4 0
3 years ago
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