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ra1l [238]
3 years ago
7

Find the surface are of the sphere r=13

Mathematics
1 answer:
Elanso [62]3 years ago
3 0

Answer:

2123.71663 or you can round to 2123.72

Step-by-step explanation:

4 times Pi times the radius squared =

4xπx169

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3.25x-1.5y=1.25 13x-6y=10
Kaylis [27]

Step-by-step explanation:

<h2>1)3.25x + -1.5y = 1.25</h2>

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '1.5y' to each side of the equation.

3.25x + -1.5y + 1.5y = 1.25 + 1.5y

Combine like terms: -1.5y + 1.5y = 0.0

3.25x + 0.0 = 1.25 + 1.5y

3.25x = 1.25 + 1.5y

<h2>2)13x-6y=10</h2>

13x + -6y = 10

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '6y' to each side of the equation.

13x + -6y + 6y = 10 + 6y

Combine like terms: -6y + 6y = 0

13x + 0 = 10 + 6y

13x = 10 + 6y

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4 0
3 years ago
Read 2 more answers
What is y+6=5x please show steps to solve
NemiM [27]
We can solve for x or solve for y,
for x
y+6=5x
divide both sides by 5
\frac{y+6}{5}=x

for  y
y+6=5x
minus 6 from both sides
y=5x-6
5 0
3 years ago
The dimensions of a rectangle are x+3 and x+4. The area of the rectangle is 72. Set up an equation that models this rectangle an
vodomira [7]

Answer: x = 5

Step-by-step explanation:

The area of a rectangle is the length times the width. Since the dimensions are given as functions of x, youre going to have to use FOIL to combine them, then set that answer equal to the given value of 72.

l*w = (x+3)*(x+4) = x^2 + 7x +12 = 72

Subtract 72 on both sides. There is a reason why we'll do this instead of subtracting 12. The quadratic formula will help us to solve for x.

x^2 + 7x - 60 = 0

Apply the quadratic formula

\frac{-7 (+/-)\sqrt{7^2-(4)*(1)*(-60} }{2*1} =\frac{-7(+/-)17}{2}

We cant have a negative x value because that would result in negative dimensions and a negative area, which is impossible in this context. So you want to add the 17 instead of subtracting it.

x = 5 and x = -12

An alternate way is just factoring the trinomial to:

(x+12)(x-5) = 0

3 0
3 years ago
In a random sample of 200 Americans, 51% said they favor building more nuclear power plants. In a random sample of 150 French, 4
Varvara68 [4.7K]

Answer:

Yes, there is enough evidence to say the proportions are the same.

Step-by-step explanation:

Null hypothesis: The proportions are the same.

Alternate hypothesis: The proportions are not the same.

Data given:

p1 = 51% = 0.51

n1 = 200

p2 = 48% = 0.48

n2 = 150

pooled proportion (p) = (n1p1 + n2p2) ÷ (n1 + n2) = (200×0.51 + 150×0.48) ÷ (200 + 150) = 174 ÷ 350 = 0.497

Test statistic (z) = (p1 - p2) ÷ sqrt[p(1-p)(1/n1 + 1/n2) = (0.51 - 0.48) ÷ sqrt[0.497(1-0.497)(1/200 + 1/150)] = 0.03 ÷ 0.054 = 0.556

The test is a two-tailed test. At 0.10 significance level the critical values -1.645 and 1.645

Conclusion:

Fail to reject the null hypothesis because the test statistic 0.556 falls within the region bounded by the critical values.

8 0
3 years ago
A newspaper reporter wrote an article about a recent football game 8749 people attended the game but the reporter rounded the nu
wlad13 [49]

Answer:

your answer would be .

Step-by-step explanation:

8750

4 0
3 years ago
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