The given sphere has a radius of 2 inches. a sphere with radius of 2 inches. what happens to the volume if the radius is doubled? the volume of the new sphere is times larger than the volume of the original sphere.

Answers

Answer 1

Answer:

8 times larger than original

Step-by-step explanation:

the volume (V) of a sphere is calculated as

V = [tex]\frac{4}{3}[/tex]πr³

when r = 2 , then

V = [tex]\frac{4}{3}[/tex]π × 2³ = [tex]\frac{4}{3}[/tex]π × 8

when r is doubled , that is r = 4 , then

V = [tex]\frac{4}{3}[/tex]π × 4³ = [tex]\frac{4}{3}[/tex]π × 64

64 is 8 times larger than 8

then new sphere is 8 times larger than original sphere

Answer 2

Answer:

8 times

Step-by-step explanation:


Related Questions

Skylar buys a one-gallon bottle of juice for $15.36. what is the unit rate of the cost of the juice per fluid ounce?

what is the cost of juice in dollars per fluid ounce?

Answers

Answer:

0.12

Step-by-step explanation:

there are 128 fluid ounces in 1 gallon

15.36 / 128 = 0.12

Choose the best description of the cross section shown in each image.

Answers

Answer:

Rectangle

Trapezoid

Square

Triangle.

Step-by-step explanation:

Goblin Gryh can count the coins in a bag in 10 minutes. If goblin Girt counts with him, they can count all the coins in 6 minutes. How long would it take Goblin Girt to count the coins in the bag alone.

Answers

The Goblin Girt take 15 minutes to count the coins in the bag alone if Goblin Gryh can count the coins in a bag in 10 minutes. If goblin Girt counts with him, they can count all the coins in 6 minutes.

What is a fraction?

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

Let's suppose the Goblin Girt take x minutes to count the coins in the bag alone.

Then we can frame an equation to find the value of x:

[tex]\rm \dfrac{1}{x}+\dfrac{1}{10}=\dfrac{1}{6}[/tex]

[tex]\rm \dfrac{1}{x}=- \dfrac{1}{10}+\dfrac{1}{6}[/tex]

[tex]\rm \dfrac{1}{x}=\dfrac{1}{15}[/tex]

x = 15 minutes (reciprocal on both sides)

Thus, the Goblin Girt take 15 minutes to count the coins in the bag alone if Goblin Gryh can count the coins in a bag in 10 minutes. If goblin Girt counts with him, they can count all the coins in 6 minutes.

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Given right triangle abc with altitude bd drawn to hypotenuse
ac. if ad = 8 and dc = 32, what is the length of bd?

Answers

The length of bd =32,98

Use Pythagorus

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Answer:

0.09

.............................

Tomas bought 2.4 pounds each of apples and pears. The apples cost $1.65 a pound and the pears cost $2.25 a pound. Tomas split the cost of the apples and pears evenly with his 3 siblings. How much should each of them pay for the apples and pears?

Answers

Answer:

  $2.34

Step-by-step explanation:

The total cost is the sum of the number of pounds multiplied by the cost per pound for each of the items purchased. Each of the four equal shares of the cost will be 1/4 of the total cost.

__

The distributive property can be used to simplify the problem.

  total cost = cost of apples + cost of pears

  share cost = 1/4(total cost) = 1/4((2.4 lb)($1.65/lb) +(2.4 lb)($2.25/lb))

  share cost = (1/4)(2.4)($1.65 +2.25) = 0.6($3.90)

  share cost = $2.34

Each of them should pay $2.34 for the apples and pears.

Plsss helppp its worth 20 points

Answers

Answer:

a. sides BC & EF

b. <A & <D

2a. A / B, not that sure

Anybody know this? Find the value of x in o A

Answers

let's recall that a circle has a total of 360°.  Check the picture below.

PLEASE HELP!!!!! I WILL MARK BRAINLIEST AND RATE 5 STARS!!

Answers

Answer:

37°

Step-by-step explanation:

sum of exterior angles of a polygon is 360°

so, 41+(x+13)+(2x-14)+(3x-22)+(x-3)+38+(x+11)=360

8x+64=360, subtract 64 from both sides

8x=296

x=37°

a series contains 18 numbers and has a sum of 4,185. the last number of the series is 275. what is the first number?
42.5
190.0
465.0
740.0

Answers

Answer:

ai = 190.0

Step-by-step explanation:

I'll presume the sequence is arithmetic, simply because assuming the series is mathematical, there is more than one solution.

Assuming the series is comprised of numbers in an arithmetic progression, you will have...  (see attachment for better explanation and step by step.)

у
6
-8
Identify the vertex, focus, and directrix of the graph. Which of the following equations represents the parabola in the graph?
O
y-- (x+38 – 4
O
yo (x=38 - 4
O
*--(+33 - 4
X-

Answers

The equation of the parabola will be y = 1/8(x-  3)² - 4. Then the correct option is B.

What is the parabola?

It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.

Identify the vertex, focus, and directrix of the graph.

Then the equations representing the parabola in the graph will be

y = a(x - h)² + k

Then the vertex is at (3, -4). Then we have

y = a(x - 3)² - 4

For x = 0, the value of y will be -2.875.

-2.875 = a(0 - 3)² - 4

        a = 1/8

Then the equation of the parabola will be

y = 1/8(x-  3)² - 4

Thus, the correct option is B.

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14. Which of the following is the perimeter of the right triangle shown below?
(1) 63 cm
(2) 64 cm
(3) 70 cm
(4) 74 cm

Answers

Answer:

3

Step-by-step explanation:

Using Pythagoras formula

h^2 = (root under) p^2 +b^2

or, h^2= 20^2 + 21^2

or, h^2= 400+441

or, h^2= 841

or, h= (root under) 841

Therefore h= 29

Now,

Perimeter of a triangle= a+b+c

= 20+21+29

=70

Which function rule is represented by the table?
y=4x-1
y=3x+2
y=2x+3
y=x+2

Answers

Answer:

[tex]y=2x+3[/tex]

Step-by-step explanation:

Sure hope this helps you

HELPPPPP I NEED TO FINISH THIS MATH HOMEWORK BUT IM STUCK ON A QUESTION ( its number 4 not the one above)

Answers

Answer:

$27.85

Step-by-step explanation:

I think what it means by outstanding charge is that there is something else he also needs to pay that he hasn't input yet. So, going off of that logic,

20+7.85 = 27.85, to find the amount he should pay for both charges to not create another bank fee.

In reality, Banks do not charge customers a fee for having zero dollars on your account. You only get a overdraft fee if you do not have enough money to cover the charge. So if you have zero dollars or five dollars and you have a outstanding charge that amounts to $10 then you would be charged an overdraft fee. An overdraft fee is per transaction that is charged on the account that the account does not have enough money to cover. Now, hypothetically this question is correct. Then the answer to the question above is he would have to put $27.85 because the outstanding charge is the $20 fee and the $7.85. If Travis does not put the entire $27.85 or more then the bank would charge an additional overdraft fee. But just to reiterate, this question is not realistic because banks do not charge you a fee for not having money on your account unless a charge is being made and your bank account does not have enough money to cover the charge.

PLEASE HELP MEEEEE ON THISSSS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! ITS DUE VERY SOON SO PLEASE HJELPPPPIHFIUHGIU

IT IS QUESTIONS 3-8 AND I DON'T UNDERSTAND :((((((((((( (Not 7)))!!!!!!!!!!!

Answers

The computation of the word problem shows that the oranges that John will have in 12 weeks will be 70 oranges.

How to solve the word problem?

The word problem will be that John has 10 oranges and buys 5 more oranges every week. How many oranges will John have in 12 weeks?

The computation will be:

= 10 + 5x

where x= number of weeks.

= 10 + 5x

= 10 + 5(12)

= 10 + 60

= 70 oranges

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George is solving the equation below by finding successive approximations. He started from a graph where he found the solution to be between 5 and 6. Using the lower and upper bounds from the graph, George did the following work for the first iteration. Step 1 Rewrite the equation so that it equals zero. Step 2 Evaluate the rewritten equation at the lower and upper bounds. Since the solution to the original equation is represented by a zero, one of the bounds should yield a negative difference and the other should yield a positive difference. Step 3 Take the average of the lower and upper bounds from the graph. Step 4 Evaluate the rewritten equation at . Step 5 Since this value of x yields a negative difference, use it to replace the previous upper bound that yielded a negative difference, . So, the bounds are now and . In what step, if any, did George make his first mistake? A. In step 1, George should have subtracted in the opposite order to set the equation equal to 0. B. In step 5, George should have used as the new lower bound. C. George made no mistakes, and his work is correct. D. In step 3, George should have averaged the two differences instead of the two bounds.

Answers

The mistake made by George is; D:George should have averaged the two differences instead of the two bounds.

How to Solve Successive Approximations?

In Mathematics, successive approximation can be defined as a classical method that is used in Calculus for solving integral equations or initial value problems.

In this question, George started the first iteration of successive approximation by using the lower and upper bounds of the graph. However, we can deduce that George made a mistake instep 5 because he should have used x = 3/2 as the new upper bound.

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Can someone please help me answer this question

Answers

Answer:

B. adjacent

Step-by-step explanation:

hope this helps you

You cut the 2 inch by 4 inch piece of wood along the indicated diagonal. Find the perimeter and area of the cross section formed by the cut

Answers

The perimeter of the cross section formed is 44.22 in.

The area of the cross section formed is 72.44 in.²

Calculating the area and perimeter of a rectangle

From the question, we are to determine the perimeter and area of the cross section formed by the cut

As indicated in the diagram,

If the wood is cut along the indicated diagonal, the cross section formed is a rectangle whose length will be the length of the diagonal and its width will be 4 in.

Now, we will calculate the length of the diagonal,

Let the diagonal be d

Then, we can write that

d² = 2² + 18²

d² = 4 + 324

d² = 328

d = 18.11 in.

Thus,

The length of the rectangular cross-section is 18.11 in.

Now, using the formula for calculating the perimeter of a rectangle

P = 2(l +w)

Where P is the perimeter

l is the length

and w is the width

For the rectangular cross-section

l = 18.11 in.

w = 4 in.

Putting the parameters into the formula,

P = 2(18.11 + 4)

P = 2(22.11)

P = 44.22 in.

∴ The perimeter of the cross section formed is 44.22 in.

For the area of the cross section

Using the formula for calculating the area of a rectangle,

A = l × w

∴ Area of the cross section formed = 18.11 × 4

Area of the cross section formed = 72.44 in.²

Hence, the area of the cross section formed is 72.44 in.²

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The function g(x) = x2 is transformed to obtain function h:

h(x) = g(x − 3).

Which statement describes how the graph of h is different from the graph of g?

A.
The graph of h is the graph of g vertically shifted up 3 units.
B.
The graph of h is the graph of g horizontally shifted right 3 units.
C.
The graph of h is the graph of g horizontally shifted left 3 units.
D.
The graph of h is the graph of g vertically shifted down 3 units.

Answers

Answer:

B

Step-by-step explanation:

given f(x) then f(x ± a) is a horizontal translation of f(x)

• if + a , then a shift to the left of a units

• if - a then a shift to the right of a units

h(x) = g(x - 3)

then h is the graph of g shifted right 3 units


A monument has a base and a statue The base is a rectangular prism that measures 4 feet by 6 feet by 2 feet The statue is a cube with edges that are 2 feet long What is the volume of the monument

Answers

Answer:

The formula for volume is V=l*w*h

(6×4×2)×2=96 cubic feet

Answer:

The winter evening settles down

With smell of steaks in passageways.

Six o'clock.

The burnt-out ends of smoky days.

And now a gusty shower wraps

The grimy scraps

Of withered leaves about your feet

And newspapers from vacant lots;

The showers beat

On broken blinds and chimney-pots,

And at the corner of the street

A lonely cab-horse steams and stamps.

And then the lighting of the lamps.

Alfred Tennyson - Summer Night

Alfred Tennyson was another poet who made great use of visual imagery. See if you can get a clear picture of the summer night he describes in this poem "Summer Night:"

Now sleeps the crimson petal, now the white;

Nor waves the cypress in the palace walk;

Nor winks the gold fin in the porphyry font:

The firefly wakens: waken thou with me.

Now droops the milk-white peacock like a ghost,

And like a ghost she glimmers on to me.

Now lies the Earth all Danaë to the stars,

And all thy heart lies open unto me.

Now slides the silent meteor on, and leaves

A shining furrow, as thy thoughts in me.

Now folds the lily all her sweetness up,

And slips into the bosom of the lake.

So fold thyself, my dearest, thou, and slip

Into my bosom and be lost in me.

William Wordsworth - I Wandered Lonely as a Cloud

Next is an excerpt from "I Wandered Lonely as a Cloud" by William Wordsworth. The first and last stanzas show a progression of the poet's emotions using visual imagery.

I wandered lonely as a cloud

That floats on high o'er vales and hills,

When all at once I saw a crowd,

A host, of golden daffodils;

Beside the lake, beneath the trees,

Fluttering and dancing in the breeze.

For oft, when on my couch I lie

In vacant or in pensive mood,

They flash upon that inward eye

Which is the bliss of solitude;

And then my heart with pleasure fills,

And dances with the daffodils.

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Theodore Rothke - My Papa’s Waltz

This famous poem by Theodore Rothke is an excellent example of olfactory and tactile imagery with plenty of visual imagery thrown in for good measure. The effect is powerful.

The whiskey on your breath

Could make a small boy dizzy;

But I hung on like death:

Such waltzing was not easy.

We romped until the pans

Slid from the kitchen shelf;

My mother’s countenance

Could not unfrown itself.

The hand that held my wrist

Was battered on one knuckle;

At every step you missed

My right ear scraped a buckle.

You beat time on my head

With a palm caked hard by dirt,

Then waltzed me off to bed

Still clinging to your shirt.

William Carlos Williams - This Is Just to Say

"This Is Just to Say" is an amazing example of gustatory imagery or imagery involving taste. There’s more going on beneath the surface of this poem, but the vivid description of taste draws the reader in.

I have eaten

the plums

that were in

the icebox

and which

you were probably

saving

for breakfast

Forgive me

they were delicious

so sweet

and so cold

Step-by-step explanation:

You have a job that pays $15.00 for each day you show up, plus
$8.50 per hour. Which expression shows the amount you make
in one day if you work for h hours?

Answers

15 + (h • 8.50) is the equation

Simplify.
√63 somebody please help

Answers

Answer:

7.93

Step-by-step explanation:

Write an algebraic expression that describes the following word phrase, using the letter `a` for the unknown number.
nine times a number minus two = _____ a - _____

Answers

Answer:

=7*a-2

=7a-2

Step-by-step explanation:

_a-_

ATQ,

7 times means 7*

as per the question,

Nine times (7*) a number (a) minus two (-2)

Hope this helps you!! (ㆁωㆁ)

HELPPPP THIS IS 7TH GRADE MATH AND IM CONFUSEDDDD

Answers

Answer:

n-p for the first, p-n for the second

Step-by-step explanation:

A boat can travel 28 miles up a river in the same amount of time it takes to travel 36 miles down the same river. If the current is traveling at 2 miles per hour, what is the speed of the boat in still water?

Answers

Answer:

6

Step-by-step explanation:

A bake sale successfully sells all of its food items over two hours. Which of the following graphs could represent this situation? A. B. C. D.

Answers

Answer:

it's c

Step-by-step explanation:

Answer: it is c

Step-by-step explanation:

i took the test it was right<3

brainiest please and thx :)

Rectangle ABCD is going to be reflected over the x-axis. Which of the following will not be one of the new coordinates? Group of answer choices (6, -6) (-6, 2) (-3, 2) (-3, 6)

Answers

Using translation concepts, it is found that the following rule is applied to each point:

(x,y) -> (x,-y).

The point that is does not result from this transformation will not be one of the new coordinates.

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

When a function is reflected over the x-axis, it's output is multiplied by -1, hence the rule is given by:

(x,y) -> (x,-y).

Thus, this rule is applied to all points, which are A, B, C and D, and the point that is does not result from this transformation will not be one of the new coordinates.

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7 Question Find the value of x.

Answers

Answer:

x = 15

Step-by-step explanation:

45/3 = 15

Solve for x.
X=?
4x+4 4x -32

Answers

Step-by-step explanation:

4x-4x=-32-4

X=28

Is the answer

Answer:

No solution

Step-by-step explanation:

As the slopes are same and y-intercepts are different, we can conclude this system of equations has no solution.

Which values of x and y would make the following expression represent a real number? (4 5i)(x yi) x = 4, y = 5 x = –4, y = 0 x = 4, y = –5 x = 0, y = 5

Answers

The product will be a real number when x = 4 and y = -5.

Which values of x and y should we use?

We have the product of complex numbers:

[tex](4 + 5i)*(x + yi)[/tex]

We want this to be a real number, then the second complex number must be the complex conjugate of the first one, so we must have:

[tex](x + yi) = (4 - 5i)[/tex]

Now, if we take the product, we get:

[tex](4 + 5i)*(4 - 5i)\\\\4*4 - 4*5i + 4*5i - (5*5)*i^2 = 16 + 25 = 41[/tex]

So we can see that the outcome is a real number.

Then we must have x = 4 and y = -5.

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Answer: C

Step-by-step explanation:

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