What is the volume of a sphere with a radius of 31.6 cm, rounded to the nearest tenth of a cubic centimeter?

Answers

Answer 1

Answer:

The answer is 132175.2 cubic centimeters or 1.3 times 10^5 cubic centimeters in scientific notation.

Step-by-step explanation:

To solve for the volume of the sphere, start by using the formula for the volume of a sphere, which is V= [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex].

Next, plug in the information given from the question into the formula. The formula will then look like V= [tex]\frac{4}{3}[/tex]([tex]\pi[/tex])([tex]31.6^{3}[/tex]).

Then, simplify and solve for the answer. The final answer is 132175.2 cubic centimeters or 1.3 times 10^5 cubic centimeters in scientific notation.


Related Questions

If x is an even number , the function f(x) = 2x-1 gives an odd number. Identify the set of odd numbers corresponding to this set of even numbers: {0,2,4,6,8}

Answers

Answer:

{-1, 3, 7, 11, 15}

Step-by-step explanation:

f(x) = 2x − 1, {0, 2, 4, 6, 8}

f(0) = 2*0 − 1 = 0 - 1 = -1

f(2) = 2*2 − 1 = 4 - 1 = 3

f(4) = 2*4 − 1 = 8 - 1 = 7

f(6) = 2*6 − 1= 12 - 1 = 11

f(8) = 2*8 − 1= 16 - 1 = 15

Angelica used four congruent equilateral triangles. Each side of the triangles was 14 inches. The height of each triangle was 12.1 inches. Which figure did she construct? What is the surface area of her figure? 7 Check your guesses from Exercise 3. Were you correct?​

Answers

Answer:

in simplified version   it would be x ≤-4

Step-by-step explanation:

multiply each term in x ≤-4 by -1

Angelica constructs a regular tetrahedron

The surface area of the regular tetrahedron is 339.08 [tex]in^{2}[/tex]

What is equilateral triangle?

"It is a triangle that has all its sides equal in length and all angles are 60° in measure."

What are congruent triangles?

"Two or more triangles are congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure."

What is a regular tetrahedron?

"It is a triangular pyramid having congruent equilateral triangles for each of its faces."

Formula of area of regular tetrahedron:

[tex]A=\sqrt{3}\times a^{2}[/tex], where 'a' is the edge length of tetrahedron

For given question,

Angelica used four congruent equilateral triangles.

She constructs a regular tetrahedron using four congruent equilateral triangles.

The length of each edge of tetrahedron = side length of equilateral triangle

So, each edge of tetrahedron measures 14 inches.

Using the formula of area of the regular tetrahedron,

[tex]A=\sqrt{3}\times a^{2} \\\\A=\sqrt{3}\times (14)^{2}\\\\A=1.73\times 196\\\\A=339.08~~in^2[/tex]

Therefore, the surface area of the regular tetrahedron is 339.08 [tex]in^{2}[/tex]

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Select the correct answer from each drop-down menu.
Tyler packed 8 shirts for a trip. Six of the shirts are short-sleeved.
He randomly selects a shirt from his suitcase, replaces the shirt, and then selects another.

The two times Tyler selects a shirt from the suitcase are( dependent, independent) events
The probability that he selects a short-sleeved shirt both times is (3/4, 9/14, 9/16, 15/28)

I think the first one is independent but I’m not sure on the second.

Answers

Answer:

The two times Tyler selects a shirt from the suitcase are independent events

The probability that he selects a short-sleeved shirt both times is 9/16.

Step-by-step explanation:

We know whether this event is independent or dependent if the first outcome affects the second outcome. With the information given, we know this event is independent because Tyler replaced the shirt when he chose a second time, meaning the total amount of shirts didn't change.

To find the probability, we use the multiplication rule:

[tex]\frac{6}{8}[/tex] ← the amount of short-sleeved shirts Tyler has

[tex]\frac{6}{8}[/tex] × [tex]\frac{6}{8}[/tex] = [tex]\frac{36}{64}[/tex] = [tex]\frac{9}{16}[/tex]

- 2022 Edmentum

The two times Tyler selects a shirt from the suitcase are independent events, the probability that he selects a short-sleeved shirt both times is 9/16, the correct option is C.

What is Probability?

Probability is the likeliness of an event to happen, it has a range from 0 to 1.

The number of short sleeved shirts are 6

Total number of shirts is 8

The event is independent as the second event is not dependent on the first event as the shirt is being replaced by another shirt.

The probability that he picks a short sleeved shirt is (6/8)

The probability that he picks a short sleeved shirt both times is

= (6/8) *(6/8)

= (9 /16)

To know more about Probability

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i really need help plzzz hellppp mehhhh

Answers

Answer:

10

Step-by-step explanation:

3+3+2+2=10

Answer:

10

Step-by-step explanation:

count the squares!!

AD = 3

BC = 3

AB = 2

DC = 2

3+3+2+2=10

According to a Numbeo report, the average cost of milk in the US today is $3.12 per gallon What is the equivalent cost of milk in Pakistani rupees per liter? 1$= 155.00 rupees 1 gallon=3.8 liters

Answers

Answer:

40.78 rupees per liter

Step-by-step explanation:

Given data

The average cost of milk in the US today is $3.12 per gallon

1$= 155.00 rupees

1 gallon=3.8 liters

Hence the average cost in pakistani rupees will be

=155/3.8

=40.78 rupees per liter

The diameter of a cylindrical construction pipe is 4ft . If the pipe is 24ft long, what is its volume

Answers

If you need the answer using pi it’s also there

Given the vertices of a triangle ABC below, find the midpoint and length of the midsegment. Give your length in simplified radical form.

Answers

Answer:

Midpoint of AC = (-1, 1)

Midpoint of BC = (1, -2)

Length of the midsegment = [tex]\sqrt{13}[/tex]

Step-by-step explanation:

Vertices of a triangle ABC are A(0, 5), B(4, -1) and C(-2, -3).

Midpoint of segment AC = [tex]\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}[/tex]

                                         = [tex](\frac{0-2}{2},\frac{5-3}{2})[/tex]

                                         = (-1, 1)

Midpoint of BC = [tex](\frac{4-2}{2},\frac{-1-3}{2})[/tex]

                         = [tex](1,-2)[/tex]

Length of the mid segment = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

                                              = [tex]\sqrt{(-1-1)^2+(-2-1)^2}[/tex]

                                              = [tex]\sqrt{4+9}[/tex]

                                              = [tex]\sqrt{13}[/tex]

Write a division equation and solve (Hint: write the mixed number as an improper fraction): If the host intends to serve each guest at the party 1/5 of a pizza, how many servings can be made with the remaining 2 1/2 pizzas?

Answers

Answer:

Step-by-step explanation:

fraction of pizza=5/2

host serves to each guest=1/5*5/2

=5/10

so no of serving that can be done with the remaining 21/2 pizza

5/10-1/5

5*1-1*2/10

5-2/10

3/10

HELP ASAP!! What is the image of (-3,9) after a reflection over the line y=x?

Answers

Answer:

(9,-3). is the answer hope u like it

Edna has $900 in a savings account that earns 5% interest per year. The interest is not compounded. How much interest will she earn in1 a year?

Answers

Answer:

I= $45

Step-by-step explanation:

Giving the following information:

Edna has $900 in a savings account that earns 5% interest per year.

To calculate the interest earned, we need to use the simple interest formula:

I= P*r*t

P= principal= $900

r= interest = 0.05

t= time= 1

I= 900*0.05*1

I= $45

What is the standard equation of a circle with center (-2,0) and radius 4?

Answers

Answer:

B(x+2)^2+y^2=16

Step-by-step explanation:

since you have an x-coordinate only and it is negative and a y coordinate which is 0..basically x will appear positive with its conjecture x^2 and the y value will be independent...y^2...bare in Mind that radius is always squared hence it is 16 instead of 4

Length of rectangle is 2(7z + 3) meters. the width is 5z meters than length perimeter in terms of z please

Answers

Answer:

Step-by-step explanation:

Given,

Length (l) = 2(7z + 3) = 14z + 6

Breadth (b) = 5z

Now,

Perimeter of rectangle (P) = 2(l + b)

                                           =2(14z + 6 + 5z)

                                           =2(19z + 6)

                                           =38z + 12

PLEASE HELP!!
What is x? Show your work.

Answers

Answer:

Girl i dont know im so sorry

Step-by-step explanation:

good luck on ur assignment tho xoxo

Kennedy walks 2miles in 15 minutes she want to walk 3 more miles at the rate of speed. Which equation represents how many minutes it would take her to walk 5 miled

Answers

Answer:

We know that the equation for the speed is:

Speed = Distance/time.

First, we know that he walks 2 miles in 15 minutes.

distance = 2miles

time = 15 minutes

Then his speed in that interval is:

Speed = (2 mi)/(15 min) = (2/15) miles per minute.

Now, at this same speed, he wants to walk 3 more miles. And we want to find the equation that represents how much time she needs to walk 5 miles (the 2 first miles plus the other 3 miles)

We use again the equation:

Speed = Distance/Time

But we isolate Time, to get:

Time = Distance/Speed

Where:

Distance = 5 miles

Speed = (2/15) miles per min

Time = (5 miles)/((2/15) miles per min) = 37.5 minutes

She needs 37.5 minutes to walk the 5 miles.

The function f(x)=-\x-4/+6 is increasing
through the interval -
A. 6 C. 4 B. -00< x < 4
D. 4 :)

Answers

Answer:

Option B

Step-by-step explanation:

Given function is,

f(x) = -|x - 4| + 6

By using a graphing tool we can get the graph of the given function.

From the graph attached slope of the line drawn from [tex]x=-\infty[/tex] to [tex]x=4[/tex] is positive while slope of the line from [tex]x=4[/tex] to [tex]x=\infty[/tex] is negative.

Therefore, segment showing a positive slope will be increasing in the given interval [tex]-\infty<x<4[/tex].

Function 'f' is increasing in the interval [tex]-\infty<x<4[/tex].

Option B will be the correct option.

A set of pythagorean triples is: ____

A. 12, 16, 20
B. 8, 12, 16,
C. 3, 5, 9,
D. 1, 1, 2

Answers

A

Used Pythagorean theorem

What is the est. decimal for the square root of 50?

Answers

Answer:

7.071

Step-by-step explanation:

Hope this helps

The answer to your question would be 7.0
The estimated decimal square root of 50.0 is 7.0.

Hope this helped,

Have a great afternoon.

alex baked 2.5 batches of brownies. But, 5 brownies burned! if he now has below 15 brownies, how many were in each batch.​

Answers

Answer:

The number of brownies in each batch is less than 8.

Step-by-step explanation:

Baked batches of brownies = 2.5

Number of burned brownies = 5

Number of brownies left is less than 15  

So, the total number of brownies is less than 15 + 5 = 20  

Number of brownies in each batch is

n < 20/2.5

n < 8

So, the number of brownies in each batch is less than 8.

When did the low temperature occur?
A 0 midnight
B 3 am
C 5 am
D 15(3PM)

Answers

Answer:C

Step-by-step explanation:

We can see that at 5 am it is at the lowest point.

Answer:

C 5am

Step-by-step explanation:

The temperature starts at midnight which is 35. But if you look at the bottom of the chart there is a 5am, 10am, 15(3pm). At 5am it went down to 30. And then went back up.

Given: Point B is the midpoint of segment AC and
segment AC = 12
Prove: Segment AB = 6
Select the reason that best
supports Statement 5 in the given proof.
Whoever answers could u give 5 and 6? They’re beside each other.
given proof.
A. Distributive Property
Statement:
1. AC =12
2. B is the midpoint of AC
3. AB = BC
B. Substitution
Reason:
1. Given
2. Given
3. Definition
of a midpoint
4. Postulate
5.[?]
6.
7. Algebra
8. Division Property
of Equality
C. Division Property of Equality
D. Subtraction Property of Equality
4. AB + BC = AC
5. AB + AB - AC
6. AB + AB = 12
7. 2(AB) = 12
8. AB = 6
Copyright © 2009 aon cells Corporation. All Rights Reserved.
search

Answers

Answer:

Substitution

Step-by-step explanation:

For statement 5 the reason is a substitute, and for the statement 6, the reason is a substitute if point B is the midpoint of segment AC and segment AC = 12

What is the midpoint of the segment?

It is defined as the middle point of the segment or line(any geometry may have a midpoint) around two identical sizes formed. The midpoint bisects the segment.

We have:

Point B is the midpoint of segment AC and

Segment AC = 12

Prove: Segment AB = 6

The statement(5):

AB+AB = AC  (here BC is substituted by AC)

So the reason is substitution.

The statement(6):

AB + AB = 12  (here AC is substituted by 12)

So the reason is a substitute.

Thus, for statement 5 the reason is a substitute, and for the statement 6, the reason is a substitute if point B is the midpoint of segment AC and segment AC = 12

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Find the missing measurements.

Area: ?

Length: 13 cm

Width: 15 cm

Answers

Answer:

13 x 15 = 195

I need help with this please.

Answers

From the options I see it would be -1

Subtract 4.25 and 12.835​

Answers

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

[tex]12.835 - 4.25 \\ = 12.835 - 4.250 \\ = 8.585[/tex]

NOTE:-

You must subtract the smaller number from the bigger number.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

Wants to wrap a shipping box shaped like a rectangular prism. The box is 25 inches tall and has a square base with sides that each measure 6 inches. How much paper will she​ use?

Answers

Answer:

672 square inches

Step-by-step explanation:

Given data

Height= 25inches

Lenght = 6 inches

Width= 6 inches

The expression for the area of the box is given as

TSA= 2 (lh + lw+ hw)

TSA= 2(6*25+ 6*6+ 25*6)

TSA=  2(150+ 36+150 )

TSA= 2*(336)

TSA= 672 square inches

HELP NOW PLEASE I HAVE 10 MINUTES! 20 POINTS
If f(x) = 4x^2 + 1 and g(x) =x^2 - 5, find (f-g)(x)

Me and my procrastination habits smh
Also let me know if you can help with other questions I have 2 more

Answers

Slope:  

2

3

y-intercept: (0,−6)xy0−63−4

i’m pretty sure the answer is 3x^2+6

let me know if this doesn’t make sense and i can fix it :)

Which of the following formulas is used to find the circumference of a circle?
O A. C = op?
B. C = 23d
O C. C = 8012
O D. C = 281

helpp someoneee

Answers

Answer:

D.

Step-by-step explanation:

Circumference of a circle is also referred to as the perimeter bordering the circle.

Thus, it is given as:

C = 2πr

C is circumference

r = half of the diameter of the circle = r

This formula used in finding the circumference of a circle is C = 2πr

The topic is about secant tangent angles

Answers

Answer:

x = 71

Step-by-step explanation:

The chord- chord angle is half the sum of the arcs intercepted by the angle and its vertical angle, that is

x = [tex]\frac{1}{2}[/tex] (92 + 50) = 0.5 × 142 = 71

Convert the measurement as indicated

12 yd to foot



Show steps



Will give Brainlist



Help

Answers

Answer:

36 ft

Step-by-step explanation:

Given :

12 yards.

We need to convert it into feets. We know that ,

[tex] \implies[/tex] 1 yard = 3 feet

[tex] \implies[/tex] 12 yards = 12 * 3 ft

[tex] \implies[/tex] 12 yards = 36 ft .

Hence the required answer is 36 feets .

Answer:

the formula for converting yards into feet: 1 yard is equal to 3 feet. Write out the necessary math problem or use a calculator. If you want to convert 21 yards, for example, the problem would be 21 multiplied by 3 (21 x 3). Finish the conversion.

SO,

12 yd 36.00 ft

Find m1 please help will give brainlyest

Answers

Answer:

The intercepted arc is twice the value of the inscribed angle. Since the intercepted arc is 110°, this means that the inscribed angle 1 is 55°.

1 = 55 degrees
Explanation it is

If Angelina pics one marble from the bag without looking what is the probability that she will pick up black marble?

Answers

Answer:

i dont know how many balls there are

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