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k0ka [10]
3 years ago
7

(Pts: 1) Please help me! Question is in attachment!

Mathematics
2 answers:
Sloan [31]3 years ago
8 0
- - Solve:

To find the volume of a sphere:
 \frac{4}{3} *3.14*R^3

3.14≈π

Now since its telling us to use π, then we do our formula by multiplying by π.

π=3.14 (Approximate amount)

So:

4/3*3.14*9^3=3052.08

So you are correct.

When Radius=9, you plug in for R. :)

zvonat [6]3 years ago
3 0
Yes your answer is correct.
9 = R , for radious
Sphere Formula = s = 4,  Pi r  powered by 2  , volume below :

Volume of a sphere = V = (4/3)x(3.14)x(r^3)

now we have to multiply by pi = 3.14 which gets us 
3052.08    |  in powered by 3

so again yes you were right


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Using exponents what is the simplified form of the expression 12x^5/6x^2
Elis [28]
First, we can simplify the 12/6 to 2/1 by factoring our 6. Next, remember that when we divide the same base with different exponents, we subtract the exponents. Thus, x^5/x^2 = x^(5-2) = x^3. Thus, the answer is 2x^3.
4 0
3 years ago
Diego has 12 chocolate chip cookies and 18 vanilla cookies. He wants to
rodikova [14]

Answer:

The great number he can have in each bag is 6 cookies.

Step-by-step explanation:

This is because the greatest common factor of 12 and 18 is 6.

7 0
3 years ago
A baseball diamond is a square with side 90 ft. A batter hits the ball and runs toward first base with a speed of 31 ft/s. (a) A
Afina-wow [57]

Answer:

13.86 ft/sec

Step-by-step explanation:

If we let x = distance batter has run at time t and  D = distance from second base to the batter at  time t, then we know \frac{dx}{dt}=31 ft/s and we want \frac{dD}{dt} when he is halfway (at x = 45).

Using Pythagoras theorem

D^2=90^2+(90-x)^2\\\text{Differentiating with respect to t}\\2D\frac{dD}{dt}=0+2(90-x)(-1)\frac{dx}{dt}\\2D\frac{dD}{dt}=-2(90-x)\frac{dx}{dt}

When x=45

D^2=90^2+(90-x)^2\\D^2=90^2+(90-45)^2\\D^2=10125\\D=\sqrt{10125}

2D\frac{dD}{dt}=-2(90-x)\frac{dx}{dt}\\2\sqrt{10125}\frac{dD}{dt}=-2(90-45)(31)\\\frac{dD}{dt}=\frac{-2(45)(31)}{2\sqrt{10125}} =-13.86ft/s

Thus, when the batter is halfway to first base, the distance between second base and the batter is  decreasing at the rate of about 13.86 ft/sec.

4 0
3 years ago
Holly and her 2 brst friends go to dinner. Their total bill is 31.84. They use a coupon for 15% off the total. If they split the
Tresset [83]
ANSWER:

$9.0.

Each person will owe $9.0.

STEP-BY-STEP SOLUTION:

Total amount of people:
= 3

Total bill:
= $31.84

Discount off total bill:
= 15%

Total bill after discount:
= 31.84 × ( 100% - 15% )
= 31.84 × 85%
= 27.064

Total bill after discount split evenly / Amount each person will owe:
= 27.064 ÷ 3
= 9.0213 ( 3 repeater )
= $9.0 ( rounded to the nearest tenth )
6 0
3 years ago
Which equation is equivalent to (1/3)x= 27x+2?
blsea [12.9K]

multiply everything by 3

x=81x+6

-80x=6

x=6/-80

x=3/-40

3 0
3 years ago
Read 2 more answers
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