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Find the volume of the sphere. Round your answer to the nearest tenth.

Step-by-step explanation:

p = 2r + pi×r

p = r(2 + pi)

r = p/(2 + pi)

Answer:

r = [tex]\frac{p}{2+\pi }[/tex]

Step-by-step explanation:

p = 2r + πr ← factor out r from each term

p = r(2 + π) ← divide both sides by (2 + π )

[tex]\frac{p}{2+\pi }[/tex] = r

Answer:

[tex]\huge\bold\color{pink}{- Magdonal -}[/tex]

Gamitin mo utak mo bleh

[tex]\red{\rule{10pt}{999999pt}}\orange{\rule{10pt}{999999pt}}\green{\rule{10pt}{999999pt}}\blue{\rule{10pt}{999999pt}}\purple{\rule{10pt}{999999pt}}[/tex]

Answer:

C

Step-by-step explanation:

[tex]\frac{25!}{(25-3)!} =13800[/tex]

Answer:

The area of the circle would be 530.93 sq ft.

Step-by-step explanation:

The formula is A = π r². We know that the radius or r is 13, meaning that the new equation is A = π 13². 13 to the second power is 169 meaning that the formula would now be A = π(169). 169 times π is 590.93 getting you your answer. I hope this helped! :)

Answer:

10.19

Step-by-step explanation:

Use the Pythagorean Theorem:

[tex]a^{2}+b^{2}=c^{2}[/tex]

Substitute the numbers given:

[tex]11^{2}+b^{2}=15^{2}[/tex]

[tex]121+b^{2}=225\\ b^{2}=225-121\\ b^{2}=104\\ \sqrt b^{2}= \sqrt{104} \\ b=10.19[/tex]

Answer:

363=90bags

then you look into it and say

440=200bags

By definition of perimeter and consecutive side, we conclude that the side lengths of the triangle with perimeter of 141 centimeters are 46, 47 and 48 centimeters.

The three sides of a triangle are consecutive if and only if they are represented by three consecutive natural numbers. The perimeter is the sum of the three side lengths, whose formula is presented below:

x + (x + 1) + (x + 2) = 141

3 · x + 3 = 141

3 · (x + 1) = 141

x + 1 = 47

x = 46

By definition of perimeter and consecutive side, we conclude that the side lengths of the triangle with perimeter of 141 centimeters are 46, 47 and 48 centimeters.

The statement is complete, the correct statement is the following:

The triangle has three consecutive sides and its perimeter is 141 centimeters. Work out the value of each side.

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Answer:

y = -2x - 6

Step-by-step explanation:

We know that the slopes of the lines are equal when the lines are parallel to each other.

So, the equation of the given line is y = -2x + 2.

Here,

y = mx + c

y = -2x + 2

slope ⇒ m ⇒ -2

Therefore, the slope of the new line will be ( - 2 ).

And now we have to find the y-intercept ( c ).

For that let us use the given coordinate.

( -6 , 6 ) ⇒ ( x , y )

To find the y-intercept we have to make c the subject of the equation y mx + c.

Also, we have to replace m with ( - 2 ) as the slope of the new line is -2.

Let us solve it now.

y = m x + c

6 = -2 × -6 + c

6 = 12 + c

6 - 12 = c

-6 = c

Now we have found that,

m ⇒ - 2

c ⇒ -6

And now let us write the equation of the line.

y = m x + c

y = -2x - 6

the degrees Fahrenheit is -9

Answer:

The new dimensions are 6 ft and 4 ft.

Step-by-step explanation:

Let x = side of original square.

The sides are increased by 3 ft and 1 ft, so the new side lengths of the rectangle are

x + 3 and x + 1

The area of the rectangle is length × width.

area = (x + 3)(x + 1)

area = x² + 4x + 3

The area is 24 ft².

x² + 4x + 3 = 24

x² + 4x - 21 = 0

(x + 7)(x - 3) = 0

x + 7 = 0 or x - 3 = 0

x = -7 or x = 3

x + 3 = 3 + 3 = 6

x + 1 = 3 + 1 = 4

The new dimensions are 6 ft and 4 ft.

Answer: you can use .5 yards of ribbon

Step-by-step explanation: this equals 18inches or 1.5 feet hope this helps

Answer:

Here is the ans ...hope it helps:)

Answer:

To hard sorry

Step-by-step explanation:

[tex]\dfrac{5-i}{4+3i}=\dfrac{(5-i)(4-3i)}{(4+3i)(4-3i)}=\dfrac{20-15i-4i-3}{16+9}=\dfrac{17-19i}{25}=\dfrac{17}{25}-\dfrac{19}{25}i[/tex]

answer:

483.5

step by step explanation:

2x-45y=22

2x-45(21)=22

2x-945=22

2x =22+945

2x=967

x=483.5

Answer:

Squares are the numbers, generated after multiplying a value by itself. Whereas square root of a number is value which on getting multiplied by itself gives the original value.

Step-by-step explanation:

Hence, both are vice-versa methods. For example, the square of 2 is 4 and the square root of 4 is 2.

The factored expression of the expression 4a^3b^5 - 18a^2b^3 + 8a^3b^3 is 2a^2b^3(2ab^3 - 9 + 4a)

The expression is give as:

4a^3b^5 - 18a^2b^3 + 8a^3b^3

Factor out 2

2(2a^3b^5 - 9a^2b^3 + 4a^3b^3)

Factor out a^2b^3

2a^2b^3(2ab^3 - 9 + 4a)

Hence, the factored expression of the expression 4a^3b^5 - 18a^2b^3 + 8a^3b^3 is 2a^2b^3(2ab^3 - 9 + 4a)

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He needs 20 more unit cubes to completely fill the prism

The dimension of the prism is given as;

4 by 3 by 3

The volume is calculated as:

Volume = 4 * 3 * 3

Volume = 36

He has already filled 16 units.

So, the units remaining is

Remaining = 36 - 16

Evaluate

Remaining = 20

Hence, he needs 20 more unit cubes to completely fill the prism

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Answer:

y=-x+6

Step-by-step explanation:

Start by graphing y=-x+5.  Then mark the point (2,4) for easier reference.  A parallel line just has the same slope, so if you make another line with the same slope, and change the y-intercept until the line goes through (2,4), you will have the answer.

First of all we will understand the question!!

The question is saying that you are given a function and you have to find the value of x which will give the maximum profit... Lets solve it by finding the extrema using the vertex

[tex] \rm \: p(x) = - 5 {x}^{2} + 30x + 8[/tex]

[tex] \rm \: p(x) = { - 5x}^{2} + 30x + 8 \\ \rm \: a = - 5 \: and \: b \: = 30[/tex]

[tex] \rm \: x = \frac{30}{ 2 \times (- 5)} [/tex]

[tex] \rm \: x = 3[/tex]

Answer:

A and B

Step-by-step explanation:

In both of these relations, each input corresponds to one and only output.

Answer:

11 students are present and 9 are absent.

B; the y axis is what moves up and down

80 * 25 /100 = 20 .........

Answer:

20

Step-by-step explanation:

25% of 80

to turn 25% into a decimal, 25 / 100 = 0.25  

multiply 80 by 0.25, 80 x 0.25 = 20

Answer:

36.

Step-by-step explanation:

There were 10 elephants that were marked.  Only 4 of those were counted.  The other 26 were new elephants.  Because of this, we know that there were 6 other elephants that were not counted.  There were the 30 counted, and the other 6.  Add those and you get 36.

Answer:

  75 elephants

Step-by-step explanation:

This sort of population study assumes that the probability of catching any particular elephant is the same as for any other.

__

We are given that there is a population of 10 painted elephants, of which 4 of them are caught in a sample of 30 elephants. We know the total population of painted elephants is 10/4 = 2.5 times the number caught in the sample. This suggests the total population of elephants is 2.5 times the sample size.

  estimated population = 2.5 × 30 = 75 . . . elephants

The measure of angle b is 112° and the measure of angle c is 68°

From the question, we are to determine the measures of the missing angles

From the diagram,

b = 112° (Vertically opposite angles)

∴ b = 112°

Also,

112° + c = 180° (Sum of angles on a straight line)

c = 180°- 122°

∴ c = 68°

Hence, the measure of angle b is 112° and the measure of angle c is 68°

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Answer:

what is your from my from is province philippines

If we reflect across the y-axis and then reflect again across the y-axis , it will give result an image that maps onto itself , Option B is the right answer.

The reflection of the point (x,y) across the x-axis is the point (x,-y), across the y-axis is the point (-x,y). , across the line is the point (y, x)

The 90 degree counterclockwise rotation of a point (x, y) is the point (-y, x)

The 180 degree counterclockwise rotation of a point (x, y) is the point (-x, -y)

The 270 degree clockwise rotation of a point (x, y) is the point (-y, x)

Therefore on application of these rules

For Case A

The point will be (-y , x)

For Case B

The point will be (x,y)

Therefore Option B is the answer.

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The factor if the root is 2 is x - 2 and the factor if the root is -3 is c + 3

According to the question, we are to find the factors of the polynomial expression

Given the polynomial expression

y = x² + x - 6

Factorize

y = x² + 3x - 2x - 6

y = x(x+3)-2(x+3)
y = (x-2)(x+3)

Hence the factor if the root is 2 is x - 2 and the factor if the root is -3 is c + 3

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4618 mega liters of water, in 7 years, will be used annually.

Interest is the outlay you pay to borrow money. Interest is often deliberated as an annual percentage of a loan amount.

here, we have,

I=PRT/100

=6740×10/100×7

=674×1×7

=4618

the nearest hundredth is a 4618 this is the answer.

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Answer:

13,134.35 megaliters

Step-by-step explanation:

Plug in 6,740 megaliters for the initial amount, 0.1 for the rate of increase, and 7 years for the time elapsed.

y

= a(1+r)t

y

= 6,740(1+0.1)7 Plug in values

y

= 6,740(1.1)7 Add

y

= 6,740(1.94871…) Simplify

y

= 13,134.35325… Multiply

Round to the nearest hundredth.

13,134.35325… → 13,134.35

To the nearest hundredth, Rockport will use 13,134.35 megaliters of water annually.