Find the volume of a sphere with a radius of 100yd . Express your answer in terms of pi.

Answer:

The largest number of identical cubes whose volumes are whole numbers  that would fit in a cube of volume 1080 [tex]cm^{3}[/tex] is 10.

Step-by-step explanation:

Given that volume of larger cube is 1080[tex]cm^{3}[/tex]

To find number of smaller cube with volume as whole numbers can fit the larger cube:

Imagine Rubik's cube of 3x3 as larger volume and one piece of Rubik's cube is smaller cube. On one edge, three smaller cube with volume

In the same way,

Assuming one edge has 'x' number of cube with volume as whole numbers

Since, It is cube. Number of cube in other edges will be 'x' too

For smaller cube,

Take one side of smaller cube as x

Therefore, One side of larger cube will be nx

For cube,  length = height = breath =nx

The volume of larger cube : [tex](nx)^{3} =1080[/tex]

nx=10.2598cm

we need to find the "largest" number of cube( i.e n )

Therefore, Side x will be smallest and n will be largest.

For smallest value of x,

It is also said that " volumes are whole numbers "

smallest whole number is 1

Thus,

nx=10.2598cm

n=10.2598

n is also whole number so that n=10

The largest number of identical cubes whose volumes are whole numbers  that would fit in a cube of volume 1080 [tex]cm^{3}[/tex] is 10.

Answer:

Both (10,1) and (-4,3)

Step-by-step explanation:

No need but hope it helps:D

Answer:

C

Step-by-step explanation:

if it is on khan this answer is right

Answer:

The answer is -8, 0, 3, 9, 11

Answer:

-8, 0, 3, 9, 11

Step-by-step explanation:

The next higher million is 68 million.

The next lower million is 67 million.

67,492,384 is closer to 67 million than to 68 million.

So the nearest million is 67,000,000 .

To round 67,492,384 to the nearest million, round the millions place up by 1 because the digit to its right is 7.

To round 67,492,384 to the nearest million, we need to consider the digits in the millions place and the digit to its right. In this case, the digit in the millions place is 6, and the digit to its right is 7. Since 7 is greater than or equal to 5, we round the millions place up by 1. Therefore, 67,492,384 rounded to the nearest million is 68,000,000.

Answer:

[tex]\displaystyle y > 4x - 2[/tex]

Step-by-step explanation:

Starting from the y-intercept of [tex]\displaystyle [0, -2],[/tex]you do [tex]\displaystyle \frac{rise}{run}[/tex]by either moving four blocks south over one block west or four blocks north over one block east [west and south are negatives]. Next, we have to determine the types of inequality symbols that are suitable for this graph, which will be less than and greater than since this is a dashed line graph. We then use the zero-interval test [test point (0, 0)] to ensure whether we shade the opposite portion [portion that does not contain the origin] or the portion that DOES contain the origin. At this step, we must verify the inequalities as false or true:

Greater than

[tex]\displaystyle 0 > 4[0] - 2 → 0 > -2[/tex]☑

Less than

[tex]\displaystyle 0 < 4[0] - 2 → 0 ≮ -2[/tex]

This graph is shaded in the portion of the origin, so you would choose the greater than inequality symbol to get this inequality:

[tex]\displaystyle y > 4x - 2[/tex]

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Brian spent 70% of his money on jewelry.

Step-by-step explanation:

Given,

Amount spent on jewelry = $47

Total amount spent = $67

Percentage of jewelry = [tex]\frac{amount\ spent\ on\ jewelry}{total\amount\ spent}*100[/tex]

[tex]Percentage\ of\ jewelry=\frac{47}{67}*100\\\\ Percentage\ of\ jewelry=\frac{4700}{67}\\Percentage\ of\ jewelry= 70.14\%[/tex]

Rounding to nearest whole number.

Percentage of jewelry = 70%

Brian spent 70% of his money on jewelry.

Keywords: percentage, division

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Answer:

○ b Corresponding Angles

Step-by-step explanation:

These two angles are a mirror, so they correspond.

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Angle 1 and angle 5 are alternate interior angles with the same measure.

Angle 1 and angle 5 are alternate interior angles formed by a transversal line intersecting two parallel lines. Alternate interior angles are equal in measure, which means that angle 1 and angle 5 have the same measure. This relationship holds true regardless of the specific measurements of angle 1 and angle 5.

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Answer:

x = 18

Step-by-step explanation:

The length of the midsection is the sum of the two bases divided by 2. Remember that the bases of a trapezoid are the two parallel sides. So that means:

((5x - 11) + (2x + 7)) /2 = 3x + 7

Simplify ((5x - 11) + (2x + 7)) /2:

(5x - 11) + (2x + 7) /2 = (5x + 2x - 11 + 7) /2 = (7x - 4) /2

Therefore:

(7x - 4) /2 = 3x + 7

Now solve this simultaneous equation:

7x - 4 = 6x + 14

7x = 6x + 18

x = 18

Answer:

x=5

Step-by-step explanation:

2/5(10x+15)=26

10x+15=26/(2/5)

10x+15=(26/1)(5/2)

10x+15=130/2

10x+15=65

10x=65-15

10x=50

x=50/10

x=5

Answer:

x=5

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

If we want to cover the base of the prism having dimensions 2 cm × 1 cm with [tex]\frac{1}{2}[/tex] cm length of cube, then there will be (4 × 2) = 8 cubes that can occupy the base.

Width is 1 cm, so there can fit 2 cubes of length [tex]\frac{1}{2}[/tex] cm and length is 2 cm, where 4 cubes of length [tex]\frac{1}{2}[/tex] cm can fit. So, in total (4 × 2) = 8 cubes of [tex]\frac{1}{2}[/tex] cm length.

Now, height of the prism is [tex]\frac{3}{2}[/tex] cm where 3 cubes of length [tex]\frac{1}{2}[/tex] cm can fit.

Therefore, in total there can be (8 × 3) = 24 cubes of [tex]\frac{1}{2}[/tex] cm length. (Answer)

Answer:

24 cubes

Step-by-step explanation:

Please see the pictures below:  

(I hope this helped! :) )

The value of square root of 25/64 will be;

⇒ 5/8

A square root of a number is a value that multiplied by itself gives the same number.

Given that;

The number is,

⇒ square root of 25/64

⇒ √(25 / 64)

Now,

Since, The number is,

⇒ √25/64

⇒ √ (5×5 / 8×8)

⇒ 5 / 8

Thus, The value of √ 25/64 = 5/8

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Answer:

C

Step-by-step explanation:

Answer choice A and B are biased towards No answers because they point out flaws with the event. Choice D is not biased because it doesn't discuss good or bad aspects of the event.

As per the question the teenagers in Amanda's town like to watch the bowling event every new Friday night.

Hence the option C is correct.

Learn more bout the know if the teenagers in her town like a new Friday night bowling event.​

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Answer:

y = 8 + 80x

Step-by-step explanation:

Given,

The equation is, y = 8x + 80

It is the wrong equation. Because John has $8 in his bank when he gets a job. It means it is fixed. On the other hand, since he begins earning $80 per day. It becomes variable earnings for him. We know that variables (x, y, z) are multiplied by the variable number (If there is no value for variables). Therefore, the equation will be =

As $8 is fixed and $80 is a variable earnings,

y = 8 + 80x

Here, x represents the number of days John will work. If he works for 20 days, the value will be changed for the number of days he earns. The fixed amount will never be changed.

Answer:

bojdsvj

Step-by-step explanation:dvsDV

I sorry lol i need points :/

Answer:

1 hour and 30 minutes

Step-by-step explanation:

because it took an hour for 10 mile so add another five miles and it would take 30 minutes

Answer:

it would take you 1 hour and 30 mins

Step-by-step explanation:

it would be that because 1 hour is 60 mins and it takes you 60 mins to run 1 mile add half a mil and then it would be 1 hr 30

Answer:

The answer is D brother

Step-by-step explanation:

First, convert the 6 by 8 into inches: 96 by 72 which equals 6912. Now take 6912 and divide it by 4 (for the individual squars) and you get: 1728

A = L x W

A= 8 x 6

A= 96 x 72

96 x 72 = 6912

6912 / 4" = 1728

If your teachers mean like mine, they make you write it out like this:)

Hope that clears it up:)

By taking the quotient between the area of the quilt and the area of a single patch, we will see that she needs 432 patches.

To get this, we need to find the quotient between the surface area of the quilt and the area of a patch.

The quilt is 6ft by 8ft, then the area is:

A = 6ft*8ft = 48ft^2

Remember that:

1ft = 12 in

1ft^2 = (12 in)^2 = 144 in^2

Then the area in square inches is:

A = 48ft^2 = 48*(144 in^2) = 6,912 in^2

Now, the patches are squares of sidelength of 4 inches, then the area of each patch is:

a = (4 in)^2 = 16 in^2

The quotient between the areas gives:

A/a = (6,912 in^2)/(16 in^2) =432

This means that Sarah needs 432 patches, so the correct option is C.

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Answer:

Im guessing every time  (x,y) comes, it starts a new set

Step-by-step explanation:

In that case,

(x, y)

(0,5)

(1, 10)

(2, 15)

(3, 20)

(4, 25)

is the correct set

A) 8.8 × 10^15 kilograms is the right answer

Step-by-step explanation:

Given

Mass of Phobos = [tex]10.8 * 10^{15}\ kg[/tex]

Mass of Deimos = [tex]2.0 * 10^{15}\ kg[/tex]

In order to find how greater is the mass of Phobos from Deimos, the smaller mass will be subtracted from the larger mass

So,

[tex]= 10.8*10^{15} - (2.0*10^{15})[/tex]

As the exponents are same, the numbers can be subtracted directly

[tex]=(10.8-2.0) * 10^{15}\\= 8.8*10^{15}\ kg[/tex]

Hence,

A) 8.8 × 10^15 kilograms is the right answer

Keywords: Exponents, Addition

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Answer:

x = 5.57

Step-by-step explanation:

c² = a² + b² − 2ab cos C

x² = 10² + 6² − 2(10)(6) cos 29°

x = 5.57

Your answer and steps are correct.

There are 47 dimes and 23 quarters.

Step-by-step explanation:

Total amount = $10.45 = 10.45*100 = 1045 cents

Total coins = 70

1 dime = 10 cents

1 quarter = 25 cents

Let,

Dimes = x

Quarters = y

According to given statement;

x+y=70   Eqn 1

10x+25y=1045   Eqn 2

Multiplying Eqn 1 by 10;

[tex]10(x+y=70)\\10x+10y=700\ \ \ Eqn\ 3[/tex]

Subtracting Eqn 3 from Eqn 2

[tex](10x+25y)-(10x+10y)=1045-700\\10x+25y-10x-10y=345\\15y=345[/tex]

Dividing both sides by 15;

[tex]\frac{15y}{15}=\frac{345}{15}\\y=23[/tex]

Putting y=23 in Eqn 1

[tex]x+23=70\\x=70-23\\x=47[/tex]

There are 47 dimes and 23 quarters.

Keywords: linear equations, subtraction

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Answer:

The cost per block was about 45$

Step-by-step explanation:

I think so, but dont believe it... I may be wrong. Please mark me brainliest

The buyer spent $2 per landscaping block.

Firstly, we need to find out how much money was spent on the landscaping blocks. Given that the buyer spent $164 for two loads of mulch at $22.50 per load and $35 worth of flowers, subtract the total cost of the mulch and flowers from the total amount spent. This gives us:

($22.50 x 2) + $35 =$80 spent on mulch and flowers. Therefore, $164 - $80 = $84 spent on landscaping blocks.

Finally, find the cost per block, by dividing the total amount spent on blocks by the number of blocks. So, $84 / 42 blocks = $2 per block.

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Answer:

No

Step-by-step explanation:

-4(-3)-10(2)=-8

-9-4(-3)-10(2)=-17

-8>-17

Answer:

Step-by-step explanation:

Its 56/8 or 7

The value of the number is 7 . There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.

Two expressions joined by the equals symbol ("=") form an equation. [2] The "left hand side" and "right hand side" of the equation are the expressions on either side of the equals sign. The right side of an equation is frequently considered to be zero. Providing the generality is not diminished, this can be achieved by deducting the right-hand side from both sides.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

Given ,

product =8

increased number =6

8(x+6)=104  

8x+48= 104

8x = 104 - 48 =56

x = 56/8

= 7

Therefore The value of the number is 7.

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Answer:

2. 30 ft

3. 50 ft.

Step-by-step explanation:

2. The contour map of a place is shown in the diagram.  

The point E is placed near to the 30 ft contour line.

Therefore, the elevation of the point E on the map is 30 ft. (Answer)

3. From the same contour map shown in the diagram, it is clear that,  

The point F is placed near to the 50 ft contour line.

Therefore, the elevation of the point F on the map is 50 ft. (Answer)

Answer:

Step-by-step explanation:

Answer:

The answer for A. Would be 1 mile B. 2mph C. 4mph and the rest Im still working on

Step-by-step explanation:

Answer:

According to the graph, after half hour, Danielle was 1 mile far from home.

To find the speed we have to apply the formula:

[tex]s=\frac{\Delta d}{\Delta t}[/tex]

From [tex]t=0[/tex] and [tex]t=1[/tex], Danielle went from [tex]d=0[/tex] to  [tex]d=2[/tex]. Replacing this values, we calculate the speed:

[tex]s=\frac{\Delta d}{\Delta t}\\s=\frac{2-0}{1-0}=2[/tex]

Therefore, the speed between 0 and 1 hour is 2 miles per hour.

The Danielle's speed between 1 and 2 hours is zero ([tex]s=0[/tex]). Because, according to the graph, during this time, Danielle didn't move, and without move, there's no speed.

The domain when the function is increasing refers to the increasing x intervals.

From the graph, this increasing interval is from 0 to 1 hours only, it's the only period of time when Danielle was increasing her position.

The parts of the decreasing domain are:

In the graph, you can see these decreasing intervals, which are characterized by a downwards direction of the line.

The parts where the function is constant:

Constant intervals, means no increase, no decrease, just an horizontal line.

Answer:

the different is 96 * 56

Step-by-step explanation:

for example

4555/69   ///////54

Answer: (x-2)•(4x+1)

Step-by-step explanation:

Answer:

f(x) = (2/3)x + 4

Step-by-step explanation:

An equation in function is found by isolating y, and changing "y" to "f(x)".

Isolate y by moving everything else to the other side

What is done to one side must be done to the other

6y - 4x = 24

6y - 4x + 4x = 24 + 4x          (add 4x to both sides. -4x +4x cancels out)

6y = 24 + 4x

6y/6 = 24/6 + 4x/6             (divide both sides by 6)

y = 4 + (2/3)x          (simplify)

y = (2/3)x + 4        (rearrange to a familiar format "y=mx+b")  

f(x) = (2/3)x + 4        (replace y with f(x))

Answer:6

Step-by-step explanation:

In a circle, a radius perpendicular to a chord bisects the chord. So BC = CA BC = 6 (given) x (or AC) = 6 Answer = 6. Tell me if I was right. Thanks.

Answer:

it's 6

Step-by-step explanation: