The large sphere has a diameter of 12 feet. What is the volume of the shaded figure? Express the answer in terms of π.

252π ft3

261π ft3

288π ft3

324π ft3

The Large Sphere Has A Diameter Of 12 Feet. What Is The Volume Of The Shaded Figure? Express The Answer

Answers

Answer 1

Answer:

The Answer is A. 252π ft3

Step-by-step explanation:

Answer 2

Hence volume of shaded sphere is  [tex]113.09734ft^{2}[/tex]

What is Volume?

Volume refers to part inside 3 d figure which tell how much space it occupies.

How to solve?

Given two concentric spheres  one with D=12 ⇒ R= 6 feet other with r=3feet.

volume of shaded part[tex]=\frac{4}{3} \pi R^{3}-\frac{4}{3} \pi r^{3}[/tex]

[tex]=\frac{4}{3} \pi (R-r)^{3}[/tex]

[tex]=\frac{4}{3} \pi 3^{3}[/tex]=[tex]113.09734[/tex][tex]ft^{2}[/tex]

Hence volume of shaded sphere is  [tex]113.09734ft^{2}[/tex]

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Related Questions

A stopwatch measures time to the nearest 0.1 seconds. Which is the most
appropriate way to report time using this stopwatch?

A. 24.78 seconds
B. 24.8 seconds
C. 24.778 seconds
D. 25 seconds

Answers

Answer:

I believe it is A

Step-by-step explanation:

because if the time is 24.78 and you have to get the exact time then then answer is A but if it asks you to round to the nearest millisecond then then its B. Sorry if its confusing hope this helps! :)

Final Answer:

Option B, 24.8 seconds, is the most appropriate way to report time using this stopwatch.

Explanation:

The most appropriate way to report time from a stopwatch that measures to the nearest 0.1 seconds is to report the time to the same level of precision. This means that we should report the time with one decimal place, as the stopwatch does not provide measurements with a greater precision than that.

Given the options:
A. 24.78 seconds - This shows two decimal places, which is more precision than the stopwatch can measure. It should not be used.

B. 24.8 seconds - This shows one decimal place, which matches the precision that the stopwatch is capable of measuring. This is the correct way to report the time.

C. 24.778 seconds - This shows three decimal places, which is again more precision than the stopwatch can measure. It should not be used.

D. 25 seconds - This has no decimal places, thus it does not represent the precision of the stopwatch which is to the nearest 0.1 seconds. It should not be used.

Therefore, option B, 24.8 seconds, is the most appropriate way to report time using this stopwatch.

Help me on 16 and 17 please as fast as possible it’s due tomorrow

Answers

Answer:

Step-by-step explanation:

16.) 2/3

You add up the fractions and then reduce.

(5/12 + 3/12 = 8/12 = 2/3)

17.) No because if you add all the fractions together, you only get 7/8. This means the project is not complete yet.

A Mexican restaurant sells quesadillas in two sizes: a "large" 10 inch-round quesadilla and a "small" 5 inch-
round quesadilla. Which is larger, half of the 10-inch quesadilla or the entire 5-inch quesadilla?

Answers

Answer:

Half of the 10-inch quesadilla is greater than the entire 5-inch quesadilla

Step-by-step explanation:

we know that

The area of a circle is equal to

[tex]A=\pi r^2[/tex]

where

r is the radius

step 1

Find the area of the 10 inch-round quesadilla

we have

[tex]D=10\ in[/tex]

[tex]r=10/2=5\ in[/tex]

substitute

[tex]A=\pi (5)^2[/tex]

[tex]A=25\pi\ in^2[/tex]

step 2

Find the area of the 5 inch-round quesadilla

we have

[tex]D=5\ in[/tex]

[tex]r=5/2=2.5\ in[/tex]

substitute

[tex]A=\pi (2.5)^2[/tex]

[tex]A=6.25\pi\ in^2[/tex]

step 3

Which is larger, half of the 10-inch quesadilla or the entire 5-inch quesadilla?

Compare

half of the 10-inch quesadilla is equal to ----> [tex]\frac{1}{2}(25\pi)=12.5\pi\ in^2[/tex]

the entire 5-inch quesadilla ---->[tex]6.25\pi\ in^2[/tex]

therefore

Half of the 10-inch quesadilla is greater than the entire 5-inch quesadilla

30% of what number is 270,000?

Answers

Answer:81,000.

Step-by-step explanation:

Find the equation of the line passing through the points (5,2) and (10,6).

Please explain if you can!

Answers

Answer:

y = 4/5 x - 2

Step-by-step explanation:

Slope:

y₂ - y₁ / x₂ - x₁

6 - 2 / 10 - 5

4 / 5

y = 4/5 x + b

Solve for b by substituting one of the point's coordinate to the equation:

I'll use (5,2)

y = 4/5 x + b

(2) = 4/5 (5) + b

2 = 4 + b

2 - 4 = b

-2 = b

y = 4/5 x - 2

a dog groomer buys 7 packages of treats. Gourmet treats are sold in packs of 2. treats that help clean a dog's teeth are sold in packs of 5. the dog groomer buys 26 treats in all. how many packages of each did she buy?​

Answers

Answer:

4 packs of 5

3 packs of 2

Step-by-step explanation:

5•4=20

2•3=6

20+6=26

Let's solve this problem using a system of equations. We'll use two variables:
Let \( x \) be the number of gourmet treat packages (each with 2 treats).
Let \( y \) be the number of dental treat packages (each with 5 treats).
We have two pieces of information that will translate into equations:
1. The dog groomer buys 7 packages in total: \( x + y = 7 \)
2. The dog groomer buys 26 treats in all: \( 2x + 5y = 26 \)
Now, we have a system of two equations with two variables:
\[ \begin{align*}
x + y &= 7 \quad \text{(Equation 1)} \\
2x + 5y &= 26 \quad \text{(Equation 2)}
\end{align*} \]
We will solve this system using the substitution or elimination method. Let's use substitution in this case. We can solve Equation 1 for \( x \):
\[ x = 7 - y \]
Next, we substitute \( 7 - y \) for \( x \) in Equation 2:
\[ 2(7 - y) + 5y = 26 \]
Expanding and simplifying,
\[ 14 - 2y + 5y = 26 \]
Combine the \( y \) terms:
\[ 3y = 26 - 14 \]
\[ 3y = 12 \]
Divide both sides by 3 to solve for \( y \):
\[ y = \frac{12}{3} \]
\[ y = 4 \]
Now that we have \( y \), we can find \( x \) using \( x = 7 - y \):
\[ x = 7 - 4 \]
\[ x = 3 \]
So, the dog groomer bought 3 packages of gourmet treats and 4 packages of dental treats.
To check if the solution is correct, we can plug the values back into the original equations:
Equation 1 (number of packages)
\[ 3 + 4 = 7 \] (Correct)
Equation 2 (total number of treats)
\[ 2(3) + 5(4) = 6 + 20 = 26 \] (Correct)
The solution is correct, and the problem is solved. The dog groomer bought 3 packages of gourmet treats and 4 packages of dental treats.

kasey's school starts at the time shown on the clock. what time does kasey's school start

Answers

Final answer:

While the exact time Kasey's school starts isn't provided, it can be inferred that the common school start time ranges from 8:00 a.m. to 8:30 a.m., based on the information given.

Explanation:

The question involves reading a clock to determine what time Kasey's school starts. While the exact time is not provided in the given information, we can infer from various texts that a traditional school start time is typically around 8:00 a.m. In some contexts, like in the case of Jennifer Fuller, a teacher reflects on starting work at 7:45 a.m. which might hint at school starting shortly afterward, likely 8:15 a.m. However, considering the broader perspective given by multiple sources and the push for schools to start no earlier than 8:30 a.m. for teenagers' health, we can surmise that Kasey's school likely starts around 8:00 a.m. to 8:30 a.m., which is a common start time mentioned in the materials provided.

please help me fast
How is the graph of y=-6x^2-4 different from the graph of y=-6x^2
It is shifted 4 units to the left.
It is shifted 4 units to the right.
It is shifted 4 units down.
It is shifted 4 units up. ​

Answers

Answer:

Step-by-step explanation:

it is shifted 4 units down.

y=f(x)

y=f(x)+a,a>0

it is shifted a units up .

y=f(x)-a ,a>0

it is shifted a units down.

Final answer:

The graph of y=-6x²-4 is the same as the graph of y=-6x² but shifted 4 units down. This shift is because a constant term (in this case -4) added or subtracted from a function results in a vertical shift of the graph.

Explanation:

The question asks how the graph ofy=-6x²-4  differs from the graph ofy=-6x². This is a situation where we are dealing with vertical shifts in quadratic functions. Looking at the function y = f(x), a subtraction of a constant term outside the function (not multiplying x) results in a vertical shift of the graph. Here, y=-6x²-4  is the same function as y=-6x², but with a vertical shift downwards by 4 units, resulting in the graph being shifted 4 units down.

For clarification and based on transformations, if we had a function f(x) = x² and transformed it to f(x) = x²- 4, the graph would shift vertically down by 4 units. Similarly, the graph of y=-6x², a downward-facing parabola with its vertex at the origin, will be shifted down by 4 units due to the -4 at the end of y=-6x²-4. Therefore, the correct answer is that the graph is shifted 4 units down.

There are 4 designd of necklaces available at a jewelry store. Each design is available in 3 types of stones. How many different combinations of 1 design and 1 stone of necklace can you have?

Answers

Answer:

12

Step-by-step explanation

4 designes of necklaces

in 3 different stones

4x3= 12 DIFFERENT DESIGHNES

what is the mass of an object that experiences a gravitational force on earth of 2.5N

Answers

Answer:

The answer is 25

Step-by-step explanation:

you move the decimal back one place.

What is least multiple the numbers 6 and 8 have in common?

Answers

Answer: I think 24

Step-by-step explanation: This is because the least is them multiplied by each other.  

23. Which equation represents the circle whose center
is (-5,3) and that passes through the point (-1,3)?
A) (x + 1)2 + (y - 3)2 = 16
B) (x - 1)2 + (y + 3)2 = 16
C) (x + 5)2 + (y - 3)2 = 16
D) (x – 5)2 + (y + 3)2 = 16

Answers

Answer:

Step-by-step explanation:

Hey just wanted to tell you guys this is the legit answer the other one posted is a fraud.

Answer: (x+5)^2 + (y-3)^2=16

What is the volume of a rectangular pyramid with a height of 5.2 meters and a base 8 meters by 4.5 meters

Answers

Answer:

187.2

Step-by-step explanation:

just multiply everything

Mara found the length of time of an investment. The principal of the investment was $4,300, the interest rate was 6.2 percent, and
the interest was $2,666. Mara made an error in her work.
= prt
2666 = (4300) (0.062)
2666 = (266.6)
266.6
2666
0.14
What was Mara's error?
Mara did not substitute the values from the problem into the formula correctly
© Mara did not multiply correctly.
Mara did not divide correctly.
Mara divided when she should have multiplied.

Answers

Answer:

Mara did not divide correctly

Step-by-step explanation:

She had to divide 2666 by 266.6 which should have given her 10

Answer:

she did not divide correctly

Step-by-step explanation:

just did the test got it right

Write the decimal equivalent of each fraction 1/2

Answers

Answer:

(1/2) = 0.50.

Answer: 0.5

Step-by-step explanation: the answer is 0.5 because 1/2 i half of something 0.5 is half of 1 making 1/2 equivalent to 0.5

(2,5) is the midpoint of (4,10) and (x, y)?

Answers

[tex]\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{4}~,~\stackrel{y_1}{10})\qquad (\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{x+4}{2}~~,~~\cfrac{y+10}{2} \right)~~ = ~~\stackrel{midpoint}{(2~~,~~5)}\implies \begin{cases} \cfrac{x+4}{2}=2\\[1em] x+4=4\\ \boxed{x=0}\\[-0.5em] \hrulefill\\ \cfrac{y+10}{2}=10\\[1em] y+10=20\\ \boxed{y=10} \end{cases}[/tex]

Find the surface area of the triangular prism shown below.

I have no idea how to solve this

Answers

The surface area is the area of all the faces of the solid.

So, it is composed by the two triangles (front and rear) and the two lateral rectangles.

The triangles have base 12 and height 8 (both given), so their area is

[tex]A_t=\dfrac{12\cdot 8}{2}=12\cdot 4=48[/tex]

The rectangles have base 14 and height 10 (both given), so their area is

[tex]A_r=14\cdot 10=140[/tex]

Finally, there's a base rectangle with dimensions 14 and 12, which has area

[tex]A_b = 14\cdot 12 = 168[/tex]

The surface area is made of two lateral rectangles, one base rectangle and two triangles, so it is

[tex]S=2A_r+2A_t+A_b=96+280+168=544[/tex]

Answer: 544

Step-by-step explanation:

1) through: (2,0), slope = -4/5

Answers

Step-by-step explanation:

Given:

[tex] (2,\:0)=(x_1,\:y_1) \:\&\: m = - \frac{4}{5}[/tex]

Equation of line in slope point form is given as=

[tex]y - y_1 = m(x-x_1) \\ \therefore \: y - 0 = - \frac{4}{5}(x - 2) \\ \therefore \: y = - \frac{4}{5}(x - 2) \\ \therefore \: 5y = - 4(x - 2) \\ \therefore \: 5y = - 4x + 8 \\ \therefore \: 5y + 4x - 8 = 0 \\\therefore \: 4x + 5y - 8 = 0 \\ which \: is \: the \:equation \:of \: required \: \\ line.\: [/tex]

what is the area of this trapezoid HELP PLEASE

Answers

Answer:

Step-by-step explanation:

The answer is 44

Answer:

88 units^2

Step-by-step explanation:

split it into three shapes, a rectangle and two triangles. the find the area of these three different parts. add the areas you got, and you will get the total area of the trapezoid.

A square with side length p has an area of 169 square centimeters. The following equation shows the area
of the square.
p2 = 169
What is the side length of the square in centimeters?

Answers

Answer:

13

Step-by-step explanation:

If you use the square root method, p^2 becomes p and 169 becomes 13.

Answer:

13

Step-by-step explanation:

The equation is basically

And 13x13 equals 169 so its 13

Azand sold some books at $44 each and used money to buy some concert tickets at $60 each. He had no money left over after buying the tickets. What is the least amount of money he could have earned from selling the books ? What is the least number of books he could have sold ?

Answers

Final answer:

The least amount of money Azand could have earned by selling books is $2640. This is because it would allow him to purchase an exact number of concert tickets without any money left over. Therefore, the least number of books he sold is 60.

Explanation:

The subject of your question is Mathematics, specifically an application of simple arithmetic and algebra within the context of real world scenarios. To find out the least amount of money Azand could have earned from selling the books and the least number of books he could have sold, we need to realize one key piece of information: the total money spent on tickets (which is also the total money earned from the books) needs to be a multiple of both $44 (the cost of a book) and $60 (the cost of a ticket).

To find the lowest common multiple you simply multiply the numbers together. This gives $2640. Therefore, the least amount of money Azand could have earned by selling the books is $2640. The least number of books he sold can be calculated by dividing the total money by the cost of each book, $2640/$44, which equals 60. So he sold at least 60 books.

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What is an equation of the line that passes through the points (-2,1) and (-6,-5)

Answers

Answer: y = 3/2x+4 if you need to write it in slope intercept form and please give brainliest i will appreciate it.

EFGH is a parallelogram. Find z.

Answers

Answer:

z = 29

Step-by-step explanation:

GF = HE

z + 29 = 2z

Step 1:  Solve for z

z + 29 - z = 2z - z

29 = z

Answer:  z = 29

If you can buy one can of pineapple chucks for $2 then how many can you buy with $10?

Answers

Answer:

5

Step-by-step explanation:

Because two times 5 equals ten

Answer:

5 cans.

Step-by-step explanation:

Divide 10 with 2 to get your answer.

10/2 = 5

5 cans of pineapple chucks can be bought with $10.

Two cubes have a scale factor of 4:1, what is the ratio of the surface areas of these cubes

Answers

Final answer:

The ratio of the surface areas of the two cubes with a linear scale factor of 4:1 is 16:1, because surface area is proportional to the square of the scale factor.

Explanation:

When working with scale factors in geometry, and specifically with cubes, the ratio of scale factors for linear dimensions affects the surface area and volume in specific ways. If two cubes have a scale factor of 4:1, the ratio of their surface areas is the square of the scale factor. Since the scale factor for the linear dimensions is 4, the ratio of the surface areas will be 42:12, or 16:1.

The surface area of a cube is calculated by multiplying the area of one face (length x width) by 6, as a cube has 6 faces. If one cube has a side four times as long as the other, each of its faces will be 42 times larger because area is a two-dimensional measurement. Thus, the surface area of the larger cube will be 16 times greater than that of the smaller cube, hence the ratio 16:1.

Edgar ran eee meters per second, and Mathieu ran mmm meters per second. The boys ran for ttt seconds.


The expression t(m-e)t(m−e)t, left parenthesis, m, minus, e, right parenthesis describes how many more meters Mathieu ran than Edgar ran during that time. We can also use the expression tm-tetm−tet, m, minus, t, e to represent the same quantity.


Match each amount in the situation with the expression that represents it.\

Answers

Answer:

The expression showing how many more meters Mathieu ran than Edgar ran during that time is  [tex]t(m-e)[/tex].

Step-by-step explanation:

Edgar ran 'e' meters per second, and Mathieu ran 'm' meters per second. The boys ran for 't' seconds.

The expression [tex]t(m-e)[/tex] describes how many more meters Mathieu ran than Edgar ran during that time.

We can also use the expression [tex]tm-te[/tex] represent the same quantity.

We know that,

[tex]\text{Distance} =\text{Speed}\times \text{Time}[/tex]

Distance covered by Edgar = te

Distance covered by Mathieu = tm

Difference in distance [tex]d= tm - te=t(m-e)[/tex]

The expression showing how many more meters Mathieu ran than Edgar ran during that time is  [tex]t(m-e)[/tex].

Matt buys an item with a normal price of $25 and uses a 10% off cupon. How much does he save by using the coupon?

Answers

By using this coupon he will save $2.50. You have to multiply 25 by 0.10.

Answer:

$2.5

Step-by-step explanation:

The amount saved is 10% of $25

That’s

10% /100% x $25

0.1 x $25

$2.5

Amount saved is $2.5

Each of the letters of the word MISSISSIPPI are written on a piece of paper and then put into a bag. A piece of paper is drawn at random. What is the theoretical probability of NOT drawing an I?

Answers

The probability of not drawing an I is the number of non-I letters divided by the total number of letters, which is 7/11.

The word MISSISSIPPI has a total of 11 letters, with the following distribution: 4 I's, 4 S's, 2 P's, and 1 M. To find the theoretical probability of NOT drawing an I, we need to consider all the other letters that could be drawn instead. There are 11 - 4 = 7 letters that are not Is. Therefore, the probability of not drawing an I is the number of non-I letters divided by the total number of letters, which is 7/11.

will mark as a brainlist if i get help w these two

Answers

Step-by-step explanation:

Question 5

y = - 3x

Question 6

[tex]y = \frac{50}{x} \\ [/tex]

Suppose the radius of a circle is 8 units. What is it’s circumference?

Answers

Answer:

4

Step-by-step explanation:

the circumference is always a half of the radius

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Angiosperms, or flowering plants, have a life cycle characterized by an alternation of generations, meaning that there are two different multicellular forms: one haploid form and one diploid form. In addition to the alternation of generations, other aspects of the angiosperm life cycle, including pollination, fertilization, and seed development, have enabled flowering plants to populate and thrive in a variety of environments.1. True2. False It took me 3 hours to visit my friend in Maine, averaging a speed of 58 miles per hour. If it took me 15 minutes less to get back home, what was my average speed coming home? 2. What is the speed (v) of a wave that has a wavelength (a)of 2 m and a frequency (f) of 6 Hz? The diameter of a sphere is 2,160 mm. The diameter of a second sphere is 7,520 mm. Approximately how many times larger is the volume of the second sphere than the volume of the first sphere? What is the plot of The Great Gatsby? 1. A subsidiary has plant assets with a fair value of $70 million and book value of $60 million at the date of acquisition. The plant assets have a remaining life, as of the date of acquisition, of 20 years, straight-line. You are consolidating the accounts at the end of the third year since acquisition, and the subsidiary still owns the plant assets. The amount by which the plant assets are revalued in eliminating entry (R) is: A. $9.5 million B. $9 million C. $8.5 million D. $10 million Help please!Which setup could not be used to induce an electric current?Spinning wire coils within an array of fixed permanent magnetsSpinning electromagnets within an array of fixed wire coilsSpinning permanent magnets within an array of fixed permanent magnetsSpinning wire coils within an array of fixed electromagnets Convert 7.50 grams of glucose C6H12O6 to moles Areas such as Australia and Indonesia will experience heavier than normal rains during which of the following? ice ages La Nia El Nio interglacial period THE United States owned about 16 trillion in debit the interest rate on the national debit is about 1% per year.how much interest does the United States pay each year on its national debit? How many moles of solute are contained in 200 milliliters of a 1 m solution? Which of the following would NOT be considered a characteristic of a less-developed nation?A.low per capita GDPB.short life expectancyC.poor infrastructureD.high industrial output Using the following information, complete the incomestatement, statement of retained earnings, and balance sheet forLUV Painting for the month of March 2018. The business began operations on March 1,2018.Accounts Receivable $1,800Salaries Expense $1,300Accounts Payable 1,400Service Revenue 10,500Cash 23,500Office Supplies 1,900Stock issued during March 40,000Truck 18,680Dividends paid during March 4,500Utilities Expense 220 6,010,499,999 rounded to the nearest hundred thousand 3 to the third power + (5 - 2) divided by 3 + (5 - 3 to the second power) 3. Obtaining goods by false pretenses is a form of theft that involves . If you know that a friend has given you stolen goods, you will be guilty of . The willful burning of a building is the crime of . As you drive along a road trees in the middle distance seem to shift in position relative to far away hills were name give this ph In the middle distance seem to shift and position relative to faraway Hills what name is given to this phenomenon The Internet first came under widespread use in the United States in what decade 8993.2x 103EnterI need help with This I dont know the answer A liquid in a test tube has a curved surface such that the edges touching the glass are higher than the surface at the center. This must mean that the cohesive forces are less than the adhesive forces. 1. False 2. True