The volume of a sphere is 3,000π m3. What is the radius of the sphere to the nearest meter?

Answers

Answer 1

Answer:

13m

Step-by-step explanation:

volume of sphere = [tex]\frac{4}{3} * pi * r^{3}[/tex] = 3000π

4r^3/3 = 3000

r^3 =2250

r = ∛2250 = 13.10370 = 13

Answer 2

Answer:

Radius of the sphere is 13.1 m.

Step-by-step explanation:

Volume:

[tex]{ \boxed{ \pmb{volume = { \bf{ \frac{4}{3}\pi {r}^{3} }}}}}[/tex]

Substitute:

[tex]{ \tt{3000\pi = \frac{4}{3} \times \pi \times {( {r}^{3}) } }} \\ \\ { \tt{ {r}^{3} = \frac{3000 \times 3}{4} }} \\ \\ { \tt{r = \sqrt[3]{ \frac{3000 \times 3}{4} } }} \\ { \tt{r = 13.1 \: m}}[/tex]


Related Questions

Which expression is equivalent to
(4x2x3)(3x*y)2?

Answers

Answer:

48(3xy)

Step-by-step explanation:

(4 * 2 * 3)(3xy)2

24(3xy)2

48(3xy)

ITS TIMED HELP!!!
Assuming x and y are two odd numbers and x/y is an integer. Which of the following statements are true?
1: x + y is odd.
2: xy is odd.
3: x/y is odd.
4: x-y is odd.

A: 1 and 2 only.
B: 1 and 3 only.
C: 2 and 3 only.
D: 2, 3, and 4 only.
E: 2 and 4 only.​

Answers

Answer:

C

Step-by-step explanation:

1: x + y is even. Try it. 3 + 5 = 8. 2x + 1 + 2y + 1 = 2x +2x + 2. That's even no matter what 2 odd numbers you use.

2: xy is again try it 3 * 5 = 15 which is odd. (2x + 1)(2y + 1) = 4xy + 2x + 2y + 1. The first 3 terms are even. The last one is odd. So xy is odd.

3. 9/3 = 3. Three should be true. The numerator is greater than the denominator. And x/y is given as an integer. So the statement should be true.

4. x - y is This can't be right. 2x + 1 - 2y - 1 = 2x + 2y. The result is even.

2 and 3 only

Anne bought 9m of ribbon.She used 1/3 of it to wrap some presents and gave 1/2m to her sister.How much ribbon Anne have?

Answers

Answer:

3 meters of ribbon left

Step-by-step explanation:

Since she used 1/3 of the ribbon. Do the following:

1/3 of 9 (Which equates to):

9/3 = 6 (6 meters of ribbon left)

Now do 1/2 of 6, as she gave her sister 1/2 of the remainder.

1/2 of 6 (Which equates to):

6/2 = 3 (3 meters of ribbon left)

Please answer ASAP!!! A ski store has 60 different boots available, 30 different pairs of skis, and 40 different hats.

If a customer were to only buy ONE item, how many different ways can a customer purchase an item from the store?

Answers

In this question, the client will buy one item, which is composed by a boot, a pair of skis and a hat. Since the items are independent, the fundamental counting principle can be used.

Fundamental counting principle:

States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.

In this question:

60 boots, 30 pairs of skis, 40 hats. So

60*30*40 = 72,000

The customer can purchase an item in 72,000 ways from the store.

For another example of the fundamental counting principle, you can check https://brainly.com/question/24067651

A= 8x³ - 36x² + 54x - 27
A = ( ? x -?)³

Answers

Answer:

[tex](2x-3)^{3}[/tex]

Step-by-step explanation:

2x * 2x * 2x would get the 8x^3

the -3 * -3 * -3  would get the -27

if you do all the other multiplications -36x^2 and 54 X would result

Does this graph represent a function? Why or why not?

A. No, because it is not a straight line.
O B. Yes, because it passes the horizontal line test.

Answers

Where’s the graph????????????

whats the perimeter and area of this shape?

Answers

Answer:

(4x4) + (6x11) = 82 for area

4+4+10+11+7+6= 42

Step-by-step explanation:

You can calculate this by calculating the two squares separately, and on the bottom line, it is 10, so just subtract 4 to make the rectangle on the right, separate from the square on the left. (for area)

instruction Find m<HFG​

Answers

Answer:

∠ HFG = 79°

Step-by-step explanation:

The inscribed angle HFG is half the measure of its intercepted arc, that is

∠ HFG = [tex]\frac{1}{2}[/tex] × 158° = 79°

Select the correct answer.
Which is the correct simplified form of the expression ?
A.

B.

C.

D.

Answers

Answer:

it should be letter b sorry if its wrong

the answer should be choice B

Help with both plz :)

Answers

Step-by-step explanation:

Concept Required :-

BODMAS

Brackets , Of , Division , Multiplication , Addition , Subtraction .

Solution 9:-

We are here given ,

32 ÷ 10 - 8 ÷ 2 -3

Putting brackets after and before 10 -8

32 ÷ ( 10 - 8 ) ÷ 2 - 3

On simplifying,

32 ÷ 2 ÷ 2 - 3 16 ÷ 2 - 3 8 - 3 5

Expression :- 32 ÷ (10 -8) ÷ 2 - 3

Solution 10 :-

We are given,

1/2 × 12 ÷ 2 - 2 + 11

Putting brackets ,

1/2 × ( 12 ÷ 2 - 2 ) + 111/2 ( 6 - 2 ) + 111/2 × 4 + 112 + 1113

Expression :- 1/2 × (12 ÷ 2 - 2 ) +11

Step-by-step explanation:

1. 32 ÷ 10 - 8 ÷ 2 - 3

32 ÷ 2 ÷ 2 - 3

16 ÷ 2 - 3

8 - 3

5

2.

½ × 12 + 2 - 2 + 11

6 + 2 - 2 + 11

19 - 2

17

what is the value of x in a decagon

Answers

Answer:

x = 54

y = 144

Step-by-step explanation:

y = (10-2)×180/10 = 144

x = 180-90-(180-144) = 54

Answered by GAUTHMATH

Select the correct answer.
Consider the graph below. Which of the following piecewise functions is shown in the given graph?

Answers

Answer:

f(x)=x^2+3

[tex]f(x) = x^{2} + 3 \: \: \: \: \: \: \: \: \: \: \: \: \: \: x < 1 \\ \\ f(x) = - 2x + 5 \: \: \: \: \: \: \: \: \: \: \: \: \: x \geqslant 1[/tex]

Evaluate the expression when m=4.
m^2 + 6m + 8

Answers

Answer:

According to me,

48 is the answers

Simplify -52 + 8|-1| + (-3).

Answers

-47 is the simplified answer

What is the approximate area of the circle shown below?

Answers

Answer:

A = 616 cm^2

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

A = pi (14)^2

A = pi (196)

Using 3.14 as an approximation for pi

A = 3.14 *196

A =615.44

The nearest approximation is

A = 616 cm^2

Answer:

D 616 cm^2

Step-by-step explanation:

Area = pi r^2

= 14^2 * 3.142

= 615.832

given a sphere with a radius of m. what is the locus of the midpoints of the radii of the sphere?​

Answers

Answer:

The locus of the midpoints of the radii of the sphere is a sphere half the radii M of the given sphere and having the same center as of the given sphere.

Step-by-step explanation:

Use the distributive property to write an expression that is equivalent to the sum of 9 and 54.
9(1+6)
919+6)
9(1 +54)
9(1) + 9(54)

Answers

Answer:

9(1 +6)

Step-by-step explanation:

9 = 9 * 1

54 = 9 * 6

9 + 54 = (9*1 ) + (9*6)      {9 is common in both terms}

           = 9*(1 + 6)

what is the answer to x if 2x = 7

Answers

I think the answer is 3.5
If you divide 2 from 7 it gives you 3.5 and to double check 2x3.5 it gives 7

Several days after a wedding, an outbreak of cyclosporiasis occurred among attendees. Of the 108 guests at the wedding, 76 were ill and met the case definition. 50 of the 76 who were ill ate the wedding cake. Three of those who were well ate the wedding cake. What is the attack rate for those who ate the wedding cake

Answers

Answer:

The answer is "94.3".

Step-by-step explanation:

Calculating the total numbers of cake eaters[tex]=50+3=53\\\\[/tex]

Calculating the total numbers of ill among them[tex]=50\\\\[/tex]

[tex]\therefore[/tex]

The attack rate for those who ate cake[tex]=\frac{50}{53}\times 100\%=94.3[/tex]

Two friends go to a Mexican restaurant for lunch. One friend orders 1 soft taco and
3 burritos and his bill was $8.75. The other friend's bill was $10.00 and he ordered 4
soft tacos and 2 burritos. What is the cost of a taco and what is the cost of a
burrito?
The cost of a taco is:
The cost of a burrito is:

Answers

Answer:

cost of a taco: $1.25

cost of a burrito: $2.50

Step-by-step explanation:

Let the cost of a taco be $t and the cost of a burrito be $b.

t +3b= 8.75 -----(1)

4t +2b= 10

Divide both sides by 2:

2t +b= 5

Making b the subject of formula:

b= 5 -2t -----(2)

Substitute (2) into (1):

t +3(5 -2t)= 8.75

Expand:

t +3(5) +3(-2t)= 8.75

t +15 -6t= 8.75

t -6t= 8.75 -15

-5t= -6.25

t= -6.25 ÷(-5)

t= 1.25

Substitute t= 1.25 into (2):

b= 5 -2(1.25)

b= 5 -2.5

b= 2.50

Thus, the cost of a taco is $1.25 and the cost of a burrito is $2.50.

Factor 16p4 - 24p3. find the factor

Answers

Answer:

8p^3 ( 2p -3)

Step-by-step explanation:

16p^4 - 24p^3

8*2* p^3 *p - 3*8*p^3

Factor out the common terms

8p^3 ( 2p -3)

find the angle measures given the figure is a rhombus.​

Answers

Answer:

92

Step-by-step explanation:

180-88

how can we prepare for exam when 15 day are left

Answers

Answer:

1st step, DON'T PANIC. You have plenty of time to study. When it's a big exam, I like to set aside 2 hours daily for studying. If you're confused by certain topics, watch a video or ask your professor how to properly complete the answer. One college tip I learned: ALWAYS ASK THE PROFESSOR IF YOU GET CONFUSED WHILE STUDYING! They can help clear up problems you have. On the night before the exam, make sure you get a good night's rest. On the day of your exam, make sure to eat a good breakfast.

You have plenty of time, you got this! :)

1. Have some healthy food...or junk food or food that you love... because with a hungry stomach no one can study...

2. Take a break after every 15min... while studying..

3. Call your friends and study together...i.e. make a study circle...

4.Study loudly and faster...

At last..if you feel you're prepared then... good..if not.. then have a corner and weep and cry...or

5. have advice of your best friend or genius friend... if he or she didn't picks up phone then again cry because he or she is studying seriously with concentration so he or she will not pick up your phone...

6. At last pick up your all the methods of cheating...

hope it helps..

solue for &
X(3 + X) = 3x + x²

Answers

3x+x^2=3x+x^2

3x-3x=x^2-x^2

which means x=0

Solve the equation.

Distribute: 4-2(x+7) = 3(x+5)
Combine Terms: 4-2x-14 = 3×+15
-10-2×= 3×+15
+10 +10
_______________
-2× = 3× + 25
-3x -3x
___________________
-5× = +25
÷ -5 ÷ -5
_____________________
ANSWER : x = -5

Part 2 : What is the value of x for the given equation ?
4-2(×+7)=3(×+5)
ANSWER : × = -5 ​

Answers

Answer:

- 5

Step-by-step explanation:

Solve for x

4-2(×+7)=3(×+5)

We open the bracket :

4 - 2x - 14 = 3x + 15

Collect like terms

-2x - 3x = 15 + 14 - 4

-5x = 25

Divide both sides by - 5

-5x/-5 = 25 / - 5

x = - 5

A portion of the Quadratic Formula proof is shown. Fill in the missing statement. Statements Reasons x² + x + b 4ac 4a? b? 4a² Find a common denominator on the right side of the equation a 2a X? + b 2a b? =4ac 4a? Add the fractions together on the right side of the equation a b2 - 4ac x+ Rewrite the perfect square trinomial on the left side of the equation as a binomial squared 2a 4a 2 Take the square root of both sides of the equation Vb -4ac x+ b 2a + 4a b - 4ас X + 2a + 4a 4ac + 2a 4a 1o ano 4a​

Answers

Answer:

The fourth option.

x + b/2a = +- sqrt((b^2 - 4ac)/(4a^2))

Step-by-step explanation:

what is the side length of the square in cm

Answers

Answer:

8.4 cm^2

Step-by-step explanation:

The area of the rectangle is

A = lw

A = 3x *5x = 15x^2

126 = 15x^2

126/ 15 =15x^2/15

42/5 = x^2

We want to find the area of the square

A = l*w

A = x*x

A = x^2 = 42/5 = 8.4 cm^2

can someone help me solve this?​

Answers

Which one of both??

Sorry

Answer: -17, 17, -3, 3, -7, 7,

Step-by-step explanation:

Find all Factors of -18, (got -18 from multiplying 6 and -3)

Add the factors together. (+/- 6 and +/- 3), (+/-9 and +/-2), (+/-18 and +./-1)

Green Forest Park’s walking trail is 3.218 km. long. Blue Lake Park's walking trail is 2.414 km. long. How much longer is Green Forest Park’s trail than Blue Lake Park’s trail? GIVING 20 POINTS

Answers

Answer:

0.804

Step-by-step explanation:

Subtract 3.218 by 2.414

What are the steps involved in multiplying/ dividing rational expressions??

Answers

Answer:

Multiplication:

Step 1: Factor both the numerator and the denominator.

Step 2: Write as one fraction.  Write it as a product of the factors of the numerators over the product of the factors of the denominators. DO NOT multiply anything out at this point.

Step 3: Simplify the rational expression.

Step 4: Multiply any remaining factors in the numerator and/or denominator.

Division:

Step 1: Completely factor both the numerators and denominators of all fractions.

Step 2: Change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal.

Step 3: Cancel or reduce the fractions. Remember that to reduce fractions; you can cancel something in the numerator with something in the denominator, but in order to cancel something in the numerator and denominator the two factors must be EXACTLY the same.

Step 4: Rewrite the remaining factor. Notice that you do NOT need to actually multiply anything in the numerator or denominator.

Step 1: Factor both the numerator and the denominator. ...
Step 2: Write as one fraction. ...
Step 3: Simplify the rational expression. ...
Step 4: Multiply any remaining factors in the numerator and/or denominator. ...
Step 1: Factor both the numerator and the denominator.
Step 2: Write as one fraction.

Hope this helps :))
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