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solmaris [256]
3 years ago
9

Find the volume of the solid bounded by the sphere x^2+y^2+z^2=2z

Mathematics
1 answer:
liraira [26]3 years ago
8 0
x^2+y^2+z^2=2z\implies x^2+y^2+z^2-2z+1=1\implies x^2+y^2+(z-1)^2=1

is a sphere centered at (0, 0, 1) with radius 1. We only need to know the radius; the volume is

V=\dfrac43\pi r^3

where r=1, so the volume would be \dfrac{4\pi}3.
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To go on the class trip, Chang needs at least $125. He has saved $45, and he makes $7 an hour at his job. What is the minimum nu
Karolina [17]
To start off, Chang has already saved $45. $125 - $45 = $80. Therefore, he owes $80. $80 ÷ 7 = 11.4285714286, so he needs to work 12 full hours to pay for his trip.
8 0
3 years ago
Find the answer pleaseeee...<br><br>-15/9 + 9/4 = ? <br><br>Please find what the question mark is​
SVEN [57.7K]

Answer:

7/12

Step-by-step explanation:

-15/9+9/4

We need to make them have the same denominator:

9x4= 36 so that is our new denominator

-15x4= -60

9x9=81

(Sorry if i dont make sense)

Now we have -60/36+81/36 which is equal to 21/36.

Now we simplify:

21/36=7/12

3 0
2 years ago
After the first term in a sequence, the ratio of each term to the preceding term is r. If the first term is a, what is the third
irinina [24]

Answer:

The 3rd term is

ar^2

Step-by-step explanation:

From the given information, the first term of the sequence is

a_1=a

The common ratio of the sequence is

r

The explicit formula for a geometric sequence is :

a_n=a_1(r^{n-1})

To find the third term, we put n=3 to get:

a_n=a(r^{3-1})

This simplifies to:

a_3=ar^2

7 0
3 years ago
Part A
rjkz [21]

Answer:

Step-by-step explanation:

Part A

Solve 4,500 ÷ 90. Enter your answer in the box.

 

Answer : 50

Part B

Select all the expressions that are equal to 4,500 ÷ 90.

A. 4,500 ÷ 9 tens  ✔️

B. 450 ÷ 90  ❌

C. 450 ÷ 9  ❌

D. 4,500 ÷ 9  ❌

E. 4,500 ÷ 90 tens ❌

8 0
2 years ago
Stefan sells Jin a bicycle for $137 and a helmet for $17. The total cost for Jin is 140% of what Stefan spent originally to buy
MatroZZZ [7]

Answer:

Stefan originally spent $110.

Stefan made a profit of $44.

Step-by-step explanation:

Given that:

Stefan sold the bike and helmet for $137 and $17

Total amount = 137+17 = $154

This is 140% of the price Stefan originally paid.

Let,

x be the original price paid by Stefan

140% of x = $154

\frac{140}{100}x=154\\1.4x = 154\\\frac{1.4x}{1.4}=\frac{154}{1.4}\\x=110

Therefore,

Stefan originally paid $110 for the bicycle and helmet.

Profit made by Stefan = 154-110 = $44

Hence,

Stefan originally spent $110.

Stefan made a profit of $44.

4 0
3 years ago
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