Mathematics College

A beach ball has a diameter of 12 inches.what is the volume to the nearest tenth

Answers

Answer 1
Volume of Sphere

V = (4/3) * pi * r^3

The radius is half the diameter.
r = d/2 = (12 in.)/2 = 6 in.

V = (4/3) * 3.14159 * (6 in.)^3

V = 904.7786... in.^3

Answer: The volume is 904.8 in.^3
Answer 2

The volume of a beach ball with a diameter of 12 inches is approximately 904.3 cubic inches.

To find the volume of a beach ball with a diameter of 12 inches, we first need to find the radius. The radius is half of the diameter, so the radius is 6 inches.

The formula for the volume of a sphere is:

V = (4/3)πr³

Where V is the volume and r is the radius. Plugging in our radius:

V = (4/3)π(6)³

V ≈ (4/3)π(216)

V ≈ (4/3)(678.24)

V ≈ 904.32 cubic inches

To the nearest tenth, the volume of the beach ball is approximately 904.3 cubic inches.

Related Questions

solve for x x^2+3x<28

Answers

x² + 3x < 28
x² + 3x - 28 < 0
(x+7)(x-4) < 0

the zeros will be at x = -7  and x =4

∴ the solution of inequality
x ∈ (-7,4)

See the attached figure



Jamal states that ax + b = a(x + c), given a, b, and c are not equal to 0.

What must be the value of c for Jamal’s statement to be true?

Answers

To answer the question, we must find c of the equation:
 ax + b = a (x + c)
 If we divide by "a" on both sides we have to:
 x + b / a = x + c
 For values of "a" other than zero.
 So:
 c = b / a.
 So that the affirmation of Jamal Be true c = b / a

Answer:

[tex]c=\frac{b}{a}[/tex]

Step-by-step explanation:

We have been given an equation [tex]ax+b=a(x+c)[/tex], given that a, b and c are not equal to 0.    

Let us solve for the value of c that will make Jamal's statement true.

Upon dividing both sides of our equation by a we will get,

[tex]\frac{ax+b}{a}=\frac{a(x+c)}{a}[/tex]

[tex]\frac{ax+b}{a}=x+c[/tex]

[tex]\frac{ax}{a}+\frac{b}{a}=x+c[/tex]

[tex]x+\frac{b}{a}=x+c[/tex]

Now, we will subtract x from both sides of our equation.

[tex]x-x+\frac{b}{a}=x-x+c[/tex]

[tex]\frac{b}{a}=c[/tex]

Therefore, the value of [tex]c=\frac{b}{a}[/tex] will make Jamal’s statement true.

Find the slope and y-intercept fotv

Answers

Look at the picture.

[tex]A(3;\ 2)\\\\the\ slope:\ m=\dfrac{2}{3}\\\\B(0; 0):\ y-intercept[/tex]

(4+8r^5) - (4r^5 + 2)

Answers

(4+8r^5) - (4r^5 + 2)

= 4+8r^5 - 4r^5 - 2
=  4r^5 +2
= 2(2r^5 + 1)

The simplest form of the equation is 2(2r^5 + 1)

Approximately how many boxes that are 2 ft. by 2 ft. by 3.5 ft. fit inside of the back of a tractor trailer box truck whose dimensions are 28 ft. by 8 ft. by 9 ft.?

26 Boxes

87 Boxes

144 Boxes

216 Boxes

Answers

144 is the correct answer

Approximately how many boxes that are 2 ft. by 2 ft. by 3.5 ft. fit inside of the back of a tractor trailer box truck whose dimensions are 28 ft. by 8 ft. by 9 ft.?

Solution:

Volume of trailer box= Number of boxes * Volume of Box

Volume of Trailer Box=Length*Width*Height

Dimensions of Trailer Box are 28 ft. by 8 ft. by 9 ft.

Volume of Trailer Box=28*8*9ft³=2016ft³

Dimensions of box are 2 ft. by 2 ft. by 3.5 ft.

Volume of Box=2*2*3.5ft³=14ft³

Volume of Trailer Box=Number of Boxes *Volume of Box

2016=Number of Boxes*14

To get, Number of Boxes, Let us divide by 14

2016/14=Number of Boxes=144

Number of Boxes=144

Answer: Option C:144 boxes

hey can you please help me posted picture of question

Answers

Answer:
The solutions are 4 and -4

Explanation:
To get the solutions, we will need to isolate x on one side of the equation.
This can be done as follows:
4x² - 30 = 34
4x² - 30 + 30 = 34 + 30
4x² = 64
x² = 64/4
x² = 16
x = ±√16
either x = +√16 = 4
or x = -√16 = -4

Hope this helps :)

[tex]4x^2-30=34\ \ \ |+30\\\\4x^2=64\ \ \ \ |:4\\\\x^2=16\to x=\pm\sqrt{16}\\\\x=\pm4\\\\\text{Answer:C. x=-4 and D. x=4}[/tex]

hey can you please help me posted picture of question

Answers

The parent reciprocal function is represented in the table.

As you can see, increasing the value of x, decreases the value of y as both are inversely related as:

[tex]y= \frac{1}{x} [/tex]

We can also write this equation as:

yx = 1

This means, the product of each x and y value must be 1 for parent reciprocal function. If you observe the table, the product of each pair is 1.

So the correct answer is option A
The pairs of values of x and y above represent that of the equation, 

   y = 1/x.

If we are to substitute the given values of x to determine the values of y for checking, the results are as shown below.

1.   y = 1/-2 = -0.5
2.   y = 1/-1 = -1
3.   y = 1/2 = 0.5
4.   y = 1/3 = 0.33

Thus, the answer to this item is the first option, y = 1/x. 

Any figure that has line symmetry must also have rotational symmetry. true or false

Answers

A figure that has line symmetry MUST also have a rotational symmetry.

 Answer is TRUE.


In a clinical trial for a new headache medication, participants are randomly assigned to a treatment group or a placebo group. They do not know whether they are receiving the medication or a placebo. The element of experiment design being used is _____.


randomization


blinding


replication

Answers

This is called randomization

Answer:

The element of experiment design being used is blinding.

Step-by-step explanation:

In a clinical trial for a new headache medication, participants are randomly assigned to a treatment group or a placebo group.  

The first step is to define the treatment group, it is performed in a random way, as most of the statically experiments.  

They do not know whether they are receiving the medication or a placebo.  

People inside both groups do not have information about the medication. It means they are blind to the possible effects.  

The blinding method is used mostly to remove the placebo effect in the sample. Because of that it is commonly used for clinical or any experimental assays as it was showed in this example.

hey can you please help me posted picture of question

Answers

G(x) can be obtained from F(x) by shifting F(x) 4 units to the right and 1 unit upwards.

Shift towards right can be obtained by subtracting 4 from the x in the function and the upward shift can be obtained by adding 1 to the function.

So,

G(x) = F(x-4) + 1

Thus,

G(x) = (x-4)² + 1

So, the correct answer to this question is option B

the surface area of a polyhedron can be found by

Answers

It can be found by summing the areas of its faces

The surface area of a polyhedron is equal to the sum of the area of all of its faces. Said another way, the surface area is the total area covered by the net of a polyhedron.

Answer:

the surface area of a polyhedron can be found by sum of the area of all its sides.

Step-by-step explanation:

The surface area is nothing find the area of each faces and add them together.

Surface area = Sum of area of each faces.

Polyhedron is a three dimensional figure.

For instance, cube a polyhedron which has 6 square faces.

Surface area of a cube = [tex]a^{2} + a^2 + a^2 + a^2 + a^2 + a^2 = 6a^2[/tex], where "a" is the side of the square.

Therefore, the surface area of a polyhedron can be found by sum of the area of all its faces.

what is the next number in this pattern 0.54,0.6,0.66,0.72

Answers

This is a linear pattern. In this case, every next number goes up by 0.06.
So, add 0.06 to 0.72.
0.06+0.72=0.78.
So, your answer is 0.78.
Have a nice day! ♪

A video rental store charges $4 per day to rent a movie and $3 per day to rent a video game. During one summer, Tony paid a total of $140 to rent movies and video games from this store. If he rented twice as many video games as movies, how much did he spend on movie rentals during the summer?

Answers

Let's use the variables m and v for this:
4m + 3v = 140
v = 2m
Insert this variable:
4m + 3(2m) = 140
4m + 6m = 140
10m = 140
m = 14
One movie costs 4 dollars:
14*4 = 56
He spent $56 on movies

What is the area of the trapezoid?


56 square inches

240 square inches

108 square inches

120 square inches

Answers

You'd add the bases then multiply by the height to get, 
120
Take care ^-^

Answer:

120

Step-by-step explanation:

Rectangle QRST is shown.

What would be a reason to claim that QRST is NOT a square?

SECOND PICTURE ARE THE FOLLOWING SOLUTIONS.

WILL MARK BRAINLIEST!!!

Answers

That would be QT ≠ QR because then QT and QR is not same which makes it impossible for QRST to be square. Square needs all side lengths to be equal.

Andy is 2 years older than Jeff. In 5 years the sum of their ages will be 40.find their ages now? Explain your answer using algebra

Answers

Hello!

You can make two equations based on what you know

let x stand for andy's age
let y stand for Jeff's age

x = 2 + y
5 + x + 5 + y = 40

Put x into the second equation

5 + (2 + y) + 5 + y = 40

Combine like terms

12 + 2y = 40

Subtract 12 from both sides

2y = 28

Divide both sides by 2

y = 14

Put y into the first equation

x = 2 + (14)

x = 16

Andy is 16 and Jeff is 14

Hope this helps!

Find the volume of the given prism round to the nearest 10th if necessary

Answers

we know that
volume of the prism=area of the base*height
height=24 yd

area of the base
is a equilateral triangle
so
the internal angles are 60 degrees
with the law of sine calculate the area
Area=(1/2)*a*b*sin C-----> (1/2)*13*13*sin 60-----> (1/2)*13*13*√3/2
Area=73.18 yd²

volume of the prism=73.18*24-----> 1756.30 yd³

the answer is
1756.3 yd³

Researchers produced a study that involved 875 workers in the auto industry. The study showed that after 30 years 367 were retired, 85 were still employed in the auto industry, 300 left the industry, and the rest were not reachable. What is the problem with this study?


precise numbers


missing data


self interest


voluntary response

Answers

Answer: B) missing data

There are 123 people that were not reachable, making missing data the biggest problem.
It could be voluntary, but we're not told that, and it is most likely not voluntary, which also cancels out the chance that it could be self-interest. Precise numbers are usually what you want to aim for when you collect data, so that isn't a problem here. 
According to this problem missing data would be the answer(B)

Martha is making a scarf for her sister. Each day she knits 1/6 of a scarf....#1 what fraction of the scarf will be complete after 3 day...#2 What fraction will be complete after 6 days....#3 How can you use a number line to prove that your answers are correct?

Answers

You can use the number line to count up by 1/6s like day 1: 1/6 day 2:2/6 and so on. After three days 3/6s of the scarf will be done which is equivalent to 1/2 and on day 6: 6/6 of the scarf will be done which is equivalent to 1.
Hope I could help!
-Montana

Remember: P(1+r)t Using the expression above, choose the correct answers for the new balance and the amount of interest earned in the following compound interest problem. $950 at 7% for 8 years, compounded annually. Total Amount = $ Interest Amount = $

Answers

Total amount
950×(1+0.07)^(8)
=1,632.28

Interest amount
1,632.28−950
=682.28

Complete the steps to find the volume of the prism shown below.

Answers

Answer:

triangle

A = 6

V = 6 x 20 = 120

Step-by-step explanation:

Answer:

Shape of base - triangle

A = 6 units

V = 6 x 20 = 120

Hope it helps!

PLEASE PLEASE PLEASE HELP ME WITH ALGEBRA 1 PLEASE!?!?!?!?!!!?!?!?!?!?! I WILL GIVE LOTS OF POINTS AND BRAINLEST PLEEEEEEEEEEEEEEEEASE!!?!?!?!?!?!!?!?!?!?


What are the benefits and limitations to each method? When is it best to use each method?
1) graphing 2) substitution method 3) elimination method

Answers

With graphs on paper you can visually see intersecting lines(one solution), identical lines
(infinite solutions), or parallel lines(no solutions).
This method works best for lines that have integers for solutions. The task of determining rational or irrational solutions from graphs is difficult.

The substitution method usually must be used for equations with higher exponents. The deawback of this method is having to work with fractions.

The elimination method is often the method of choice.
This method however requires that you learn to recognize when the systems produce parallel lines or have equations that represent the same lines.

Answer:

don't copy exactly, this is my answer to the question.

Step-by-step explanation:

Find the shaded area of the basketball court to the nearest foot.

Answers

So the image consists of 1 rectangle and half a circle.

Rectangle - 12*19 = 228
Half a circle - [tex]\pi r^2 = \pi 6^2 = 36 \pi/2 = 18 \pi [/tex]

In the end there are 2 rectangles (2*228 = 456) and 1 full circle (18*2 = 36), which makes the shaded area 456 ft and 36[tex] \pi [/tex]
First, find the area of the rectangle, which is just 12•19=228 ft.

Then find the area of the semi-circle above it, which is pi times the radius squared. The diameter is 12ft, and we know the radius is half of the diameter, so the radius is 6ft. Our equation is pi times 6^2, or pi times 36.
We’ll just make pi 3.14, so 36•3.14=113.04 feet.

Add the area of the semi-circle and the rectangle together to get one of the shaded areas. 228+113.04= 341.04.

Now that we know the full area of one shaded region, we multiply it by two because there’s two of them. 341.04•2= 682.02.

Since we round it to the nearest foot, our final answer is that the shaded area of the basketball court is 682 square feet.

A rain gutter is to be constructed of aluminum sheets 12 inches wide. After marking off a length of 4 inches from each edge, this length is bent up at an angle θ. The area A of the opening may be expressed as the function: A(θ) = 16 sin θ ⋅ (cos θ + 1). If θ = 45°, what is the area of the opening?

A. 4.8 in2
B. 20.8 in2
C. 19.3 in2
D. 9.0 in2

Answers

Answer is A. 4.8 in 2

Answer:

19.3

Step-by-step explanation:

took the test

the arc lenght of pi over 3 and 10m

Answers

[tex]\bf \textit{arc's length}\\\\ s=r\theta ~~ \begin{cases} r=radius\\ \theta =angle~in\\ \qquad radians\\ ------\\ r=10\\ \theta =\frac{\pi }{3} \end{cases}\implies s=10\cdot \cfrac{\pi }{3}\implies s=\cfrac{10\pi }{3}[/tex]

The acronym CPCTC stands for “corresponding parts of congruent __________ are congruent.”

Answers

The Blank is: Triangles

Cpctc is Corresponding parts of congruent triangles are congruent.

It is used at the end of your proof to show two sides and two angles are congruent.

Hope this helps!

Answer: Triangles

Step-by-step explanation:

The CPCTC property of congruent triangles says that is two triangles are congruent then their corresponding angles and sides are congruent.

The acronym CPCTC basically stands for Corresponding Parts of Congruent Triangles are congruent.

It generally used two show any two corresponding segments or angles of two congruent triangles congruent.

A rectangular deck is 12 ft by 14 ft. When the length and width are increased by the same amount, the area becomes 288 sq. ft. By how much were the dimensions increased?
2 ft
4 ft
8 ft
10 ft

Answers

To solve this problem you must apply the proccedure shown below:

 1. You have the following information given in the problem above:

 - The rectangular deck has the following dimensions: 12 ft by 14 ft.
 - When the length and width are increased by the same amount, the area becomes 288 ft².

 2. Therefore, you have:

 A=bxh

 288=(12x)(14x)
 288=168x²

 3. When you clear the x, you obtain:

 x=√288/168
 x=(2√21)/7≈1.31
 

Answer:

4 ft option (c)

Step-by-step explanation:

Length of a rectangular deck = 12 ft.

width of rectangular deck= 14 ft.

let the length and width are increased by the x ft.

New length = (12 + x) ft  

New width = (14+ x) ft.

area of rectangular width = length × width

according to the question

(12+x)(14+x) = 288

168+[tex]x^{2}[/tex]=+14x+12x = 288

[tex]x^{2}[/tex]+26x = 228-168

[tex]x^{2}[/tex]+26x-120=0

[tex]x^{2}[/tex]+ 30x-4x-120=0

x(x+30)-4x(x+30)

x=4 or x=-30

x=-30 is rejected

Hence, the length and width are increased by the 4 ft.

Consider the following properties of the graph of an exponential function.
a. Horizontal Asymptote at x=-2
b. The graph is increasing from (-infinity, infinity)
c. The x-intercept is at (1,0)
What is the equation for this graph?

Answers

The parent exponential function is:

[tex]y= e^{x} [/tex]

The Horizontal asymptote of parent exponential function is y =0. For the function to have asymptote y=-2, it must be shifted 2 units down. So resulting graph will be:

[tex]y=e^{x} -2[/tex]

The function is increasing from left to right.

The above function does not have x-intercept at (1,0). For the function to have an x-intercept at (1,) it must be multiplied with some co-efficient as shown below:

[tex]y=a e^{x}-2 [/tex]

For x=1, y=0. So we can write:

[tex]0=a e^{1}-2 \\ \\ 2=ae \\ \\ a= \frac{2}{e} [/tex]

So, the exponential function satisfying the given conditions will be:

[tex]y= \frac{2}{e} e^{x}-2 \\ \\ y=2 e^{x-1} -2 [/tex]

PLEASE HELP ME WITH THIS MATH QUESTION

Answers

The general formula of an Arithmetic sequence is:

[tex] a_{n}= a_{1}+(n-1)*d [/tex]

Comparing this formula with the given formula, we can write:

Common Difference = d = 5

Since, every term of an Arithmetic sequence can be obtained by adding the common difference to the previous term, so we can write the recursive formula as: 

[tex] a_{n} = a_{n-1} +d[/tex]

For the given sequence we can write:

[tex] x_{n} = x_{n-1} +5[/tex]

So, the answer to this question is 5

A house was valued at 398,000.over several the house increased by 0.08

Answers

Here's the equation to find the current price:
398000 + 0.08(398000)
We can make it simpler:
1.08(389000)
The current price is $420120
Other Questions
Acute myocardial infarction is a condition with A. rupturing of plaque. B. obstruction of the coronary artery and death of heart muscle. C. a blood clot in the coronary artery. D. obstruction of veins and death of heart muscle Which choice best describes the polarity of bri5? view available hint(s) which choice best describes the polarity of ? the molecule is polar and has polar bonds. the molecule is nonpolar and has polar bonds. the molecule is polar and has nonpolar bonds. the molecule is nonpolar and has nonpolar bonds? I am really bad at math can someone please help and explain ? Use the graph below to answer the question that follows:What are the amplitude, period, and midline of the function? Amplitude: 4; period: 2; midline: y = 1 Amplitude: 8; period: 2; midline: y = 1 Amplitude: 8; period: ; midline: y = 1 Amplitude: 4; period: ; midline: y = 1 How are Walton's and Frankenstein's stories alike? Which country has been most reluctant to agree to a treaty calling for specific reductions in greenhouse gas emissions by a certain target date? hey can you please help me posted picture of question _________ are not open to viewers and are for alcoholics having a serious desire to completely stop drinking. question 11 options:a.closed meetingsb.intimate meetingsc.open meetingsd.group meetings What is the meaning of the root touch up in words like topographer and topographicAloneHighestGoPlace In 2010, a city's population was 1,405,233 and it was decreasing at a rate of 1.1%. At this rate when will the city's population fall below 1,200,000?a. 2024b. 2027c. 2036d. 2049 maddy was one of the riders in the competition. If one judge awarded maddy a score of 87 and maddy's final score was 84.5 what score did the other judge award maddy answer The Storm Prediction Center in Norman, Oklahoma, maintains a constant vigil for: The ksp of calcium carbonate, caco3, is 3.36 10-9 m2. calculate the solubility of this compound in g/l. You planted 488 acres of corn last season. you sold all your corn: 8,120 bushels in August and 64,100 bushels in September. what is your yield pet acre, rounded to the nearest bushel per acre how did the united states benefit from the construction of the panama canal NEED HELP ASAP ON GEOMETRY!! ONLY 3 QUESTIONS ATTACHED WITH PHOTOS. THANK YOU what did the spanish farmer say to his chicken Which reasons and evidence does Reglan used to support his argument? No one would have believed in the last years of the nineteenth century that this world was being watched keenly and closely by intelligences greater than man's and yet as mortal as his own; that as men busied themselves about their various concerns they were scrutinised and studied, perhaps almost as narrowly as a man with a microscope might scrutinise the transient creatures that swarm and multiply in a drop of water. With infinite complacency men went to and fro over this globe about their little affairs, serene in their assurance of their empire over matter. No one gave a thought to the older worlds of space as sources of human danger, or thought of them only to dismiss the idea of life upon them as impossible or improbable. It is curious to recall some of the mental habits of those departed days. At most terrestrial men fancied there might be other men upon Mars, perhaps inferior to themselves and ready to welcome a missionary enterprise. Yet across the gulf of space, minds that are to our minds as ours are to those of the beasts that perish, intellects vast and cool and unsympathetic, regarded this earth with envious eyes, and slowly and surely drew their plans against us. And early in the twentieth century came the great disillusionment.Yet so vain is man, and so blinded by his vanity, that no writer, up to the very end of the nineteenth century, expressed any idea that intelligent life might have developed there far, or indeed at all, beyond its earthly level. Nor was it generally understood that since Mars is older than our earth, with scarcely a quarter of the superficial area and remoter from the sun, it necessarily follows that it is not only more distant from time's beginning but nearer its end.The secular cooling that must someday overtake our planet has already gone far indeed with our neighbour. Its physical condition is still largely a mystery, but we know now that even in its equatorial region the midday temperature barely approaches that of our coldest winter. Its air is much more attenuated than ours, its oceans have shrunk until they cover but a third of its surface, and as its slow seasons change huge snowcaps gather and melt about either pole and periodically inundate its temperate zones. That last stage of exhaustion, which to us is still incredibly remote, has become a present-day problem for the inhabitants of Mars. The immediate pressure of necessity has brightened their intellects, enlarged their powers, and hardened their hearts. And looking across space with instruments, and intelligences such as we have scarcely dreamed of, they see, at its nearest distance only 35,000,000 of miles sunward of them, a morning star of hope, our own warmer planet, green with vegetation and grey with water, with a cloudy atmosphere eloquent of fertility, with glimpses through its drifting cloud wisps of broad stretches of populous country and narrow, navy-crowded seas.And we men, the creatures who inhabit this earth, must be to them at least as alien and lowly as are the monkeys and lemurs to us. The intellectual side of man already admits that life is an incessant struggle for existence, and it would seem that this too is the belief of the minds upon Mars. Their world is far gone in its cooling and this world is still crowded with life, but crowded only with what they regard as inferior animals. To carry warfare sunward is, indeed, their only escape from the destruction that, generation after generation, creeps upon them.What do these lines tell you about the attitude men on Earth had toward any men on Mars?It is curious to recall some of the mental habits of those departed days. At most terrestrial men fancied there might be other men upon Mars, perhaps inferior to themselves and ready to welcome a missionary enterprise. (4 points)If they existed, they could teach humans things.If they existed, they would leave humans alone.If they existed, they would be interested in humans.If they existed, they would need help from humans. Use the quadratic formula to solve the equation. If necessary, round answers to the nearest hundredth. 5x2 + 16x 84 = 0