Given the function
F(x)=

Answer:

12 cm^3

Step-by-step explanation:

Before we do anything, we should set up the proportion.

[tex]\frac{\pi * r^2*h}{\frac{4\pi r^3}{3}} = \frac{18}{x}[/tex]

Now do the Cancelations of \pi r^2 on the left.

h// (4/3) r  = 18/x

but h = 2*r

2r // (4/3) * r   = 18/x   Cancel the rs on the left

2// (4/3) = 18/x            Make 2 = 2/1 so you can handle the fraction

2/1 // (4/3) = 18/x         Invert and multiply the denominator

2/1 * 3/4 = 18/x

6/4 = 18x                     You can reduce the left side

3/2 = 18x                     Cross multiply

3x = 2*18                     Combine the right

3x = 36                        Divide by 3

x = 12

So what you have found is the volume of the sphere. 12 cm^3

This is a very interesting question. Keep in mind that physics does this all the time for any of the force formulas (but not all).

I'm a little long winded here, but the first time you see this, you should be given very small steps.

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]x = \frac{1}{4}[/tex]

»»————-　★　————-««  

Here’s why:

⸻⸻⸻⸻

[tex]\boxed{\text{Solving the equation for x...}}\\\\4x + 54 = 55\\----------\\\rightarrow 4x + 54 - 54 = 55 - 54\\\\\rightarrow 4x = 1\\\\\rightarrow \frac{4x=1}{4}\\\\\rightarrow \boxed{x=\frac{1}{4}}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]

Answer:

54+61

Step-by-step explanation:

54 + 61 = 115

61 - 54 = 7

Answer:

ok so we can divide 15 by 5 to get 3

so we know the building is 3 times bigger

so we multiply 3 by 3 to get 9

so the answer is D

Answer:

9

Step-by-step explanation:

Since the triangles are similar, we can use ratios to solve

Letting h be the height of the tower

15        h

-----  = ------

5           3

Using cross products

15*3 = 5h

Divide each side by 5

45/5 = 5h/5

9 = h

Answer:

The number is -1

Answer:

i

Step-by-step explanation:

text mentions a scale model... wich we can't see here unless you post it

Answer:

47.4 is the correct answer.

Step-by-step explanation:

Helpful?❤️

Answer:

47.4

Step-by-step explanation:

47.44

47.40

47.4

Answer:

x = 98; y = 112

Step-by-step explanation:

Opposite angles of an quadrilateral inscribed in a circle are supplementary. That means that the sum of their measures is 180 deg.

x + 82 = 180

x = 98

y + 68 = 180

y = 112

Answer:

[tex]adjacent = \sqrt{ {50}^{2} - {14}^{2} } = 48 \\ \\ \sin(Q) = \frac{14}{50} = \frac{7}{25} \\ \cos(Q) = \frac{48}{50} = \frac{24}{25} \\ \tan(Q) = \frac{14}{48} = \frac{7}{24} [/tex]

[tex] \sin(R) = \frac{48}{50} = \frac{24}{25} \\ \cos(R) = \frac{14}{50} = \frac{7}{25} \\ \tan(R) = \frac{48}{14} = \frac{24}{7} [/tex]

Base

Now

Answer:

60

Step-by-step explanation:

Product of the two numbers = HCF* LCM

[tex] \therefore \: 180 = 3 \times lcm \\ \\ \therefore \: lcm = \frac{180}{3} \\ \\ \therefore \: lcm = 60[/tex]

Answer:

Step-by-step explanation: the second answer im not vary sure but ist kinda resonable

Step-by-step explanation:

i. Looking at the table, he got 3 odd numbers out of 9 scored so the probability is 33% or 3/9 or 1/3

ii. He got 4 square numbers so the probability is 4/9( remeber 0 is a square number).

iii. Only two number are multiples of 5 so the probability is 2/9.

iv. No number is greater than 15 so the answer is 0%

v. 5 numbers are less than zero so the answer is 5/9

Answer:

conjugate of (x-[tex]\sqrt{2}[/tex]) is (x+[tex]\sqrt{2}[/tex])

Step-by-step explanation:

Answer:

The answer is A.

Step-by-step explanation:

yes

Answer:

total 10th grades who are 15 years old would be 7 in the empty box

Step-by-step explanation:

2 plus 7 plus 10 is 19, simple math

Answer:

D

Step-by-step explanation:

Answer:

(10,6)

There are 10 sheep and 6 chickens.

Step-by-step explanation:

Let y represent the number of chickens.

Let x represent the number of sheep.

1) Form a system of equations

"There are 16 animals in total"

⇒ [tex]x+y=16[/tex]

"The number of chickens is 4 less than the number of sheep"

⇒ [tex]y=x-4[/tex]

2) Substitute equation 2 into equation 1

[tex]x+(x-4)=16[/tex]

Solve for x

[tex]x+x-4=16\\2x-4=16\\2x=16+4\\2x=20\\x=10[/tex]

Therefore, there are 10 sheep.

3) Solve for y

[tex]x+y=16\\10+y=16\\y=16-10\\y=6[/tex]

Therefore, there are 6 chickens.

The ordered pair (10,6) represents the number of chickens and sheep.

I hope this helps!

Answer:

hggffffxdfffdsddfdohgfffdedss

Answer:

C

Step-by-step explanation:

0.20x only tells you 20% of the original gym size, not the increased size of the gym.

Answer:

Answer C can not be used to find the new size of the gym.

Step-by-step explanation:

Let's use process of elimination!

A is stating 1.20x, or 120% of x. This is correct, because we have x and then were increasing by 20%, which is just 120%. A is however not the answer because we are asking which expression below could not be used, and A could be used. B is also incorrect because of what I just stated, x + 0.20x is the same thing as 1.20x. C is 20% of x, but that won't get us the answer. C is the correct answer since it cannot be used to find the new size of the gym, but if you really want to you can check answer D as well. In answer D you can distribute the x to the 1 and the 0.20, and you get x + 0.20x, which is the same as answer B. Therefore C is the correct answer.

Answer:

Step-by-step explanation:

Hope this helps u!!!

Answer:

the mother is older than maria by 24 years.

if Maria's age = x

mother's age = x+24

x=0.2(x+24)

x=0.2x+4.8

x-0.2x= 4.8

0.8x=4.8

x=4.8/0.8

x=6

Maria's age is 6 years

Answer:

Isosceles

Step-by-step explanation:

Answer:

The answer is most likely B..

Step-by-step explanation:

I do not know BUT I WANT TO KNOW

Answer:

B

Step-by-step explanation:

Just did the test

Hope I could help :)

Answer:

x = 15, y = 50

Step-by-step explanation:

8x + 12 and 2x + 18 are same- side interior angles and sum to 180° , then

2x + 18 + 8x + 12 = 180

10x + 30 = 180 ( subtract 30 from both sides )

10x = 150 ( divide both sides by 10 )

x = 15

Then

8x + 12 = 8(15) + 12 = 120 + 12 = 132

3y - 18 and 8x + 12 are vertical angles and are congruent, so

3y - 18 = 132 ( add 18 to both sides )

3y = 150 ( divide both sides by 3 )

y = 50

X = 15

Y = 50

(8x+12) + (2x+18) = 180 -- combine like terms

10x + 30 = 180 -- subtract 30 from both sides

-30 -30

10x = 150 -- divide by 10 on both sides

x = 15

and for y:

plug x into (8x+12)

8(15) + 12 = 3y - 18

120 + 12 = 3y - 18

132 = 3y - 18 -- add 18 to both sides

150 = 3y -- divide both sides by 3

y = 50

[tex] - 6 {x}^{2} - x - 3[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]( - 2 {x}^{2} - 5x + 3) + ( - 4 {x}^{2} + 4x - 6) \\ \\ = - 2 {x}^{2} - 5x + 3 - 4 {x}^{2} + 4x - 6 \\ \\Combining \: the \: like \: terms, \: we \: have \: \\ \\ = - 2 {x}^{2} - 4 {x}^{2} - 5x + 4x + 3 - 6 \\ \\ = - 6 {x}^{2} - x - 3[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]

Answer:

-6x^2 - x - 3

Step-by-step explanation:

(-2x^2 -5x +3) + (-4x^2 + 4x -6)

open the brackets .Remember while opening the brackets signs also get multiplied .

=-2x^2 -5x +3 - 4x^2 + 4x -6

=-6x^2 -x -3

(minus * minus) sign=plus sign

(minus * plus) sign=minus sign

(plus * plus) sign=plus sign

(minus + minus) sign=plus

(plus + plus) sign=plus sign

Answer:

274

Step-by-step explanation:

202 + 6(9 + 3) =

PEMDAS says parentheses first

202 + 6(12) =

Then multiply

202 +72

Then add

274

Answer:

274

Step-by-step explanation:

202 + 6(9 + 3)

202 + 6(12)

202 + 72

274

Answer:

3/8 π radians

Step-by-step explanation:

The Area of a sector when then central angle is in radians = 1/2r² θ

Where

θ = central angle = ?

r = 16 cm

Area of the sector = 48πcm²

Hence

Central angle = Area of a sector ÷ (1/2r²)

= 48πcm² ÷ (1/2 × 16²)

= 48πcm² ÷ 128

Central angle = 3/8π radians

Therefore, Central angle = 3/8π radians

Answer:

The answer is the last one....

Step-by-step explanation:

Sorry for possible a vague answer, but you can divide out all the answers and you will see that only the last one proves the point...

if you do these problems in a class you are taught for sum/diff of cubes

the pattern ( a b) (a^ ab b^2) ...notice that there are no signs between the variables... the next teaching point is that the signs use this pattern...

"SAME" , "OPPOSIT", "ALWAYS A PLUS"... that is not me look that up in an algebra book.. same opposite, always a plus... I think some people call is "SOAP" same, opposite  Always plus (that works) ....

bottom line here is that you answer needs cubes under the division, and the

end part has to have a "+" , given that after multiplying by "-b" you have to end up with a "-B^3" only a "+b^2" will do , that is consistent with the fourth answer

Answer:

a)The number of sides of the polygon = 9 sides

b) The size of each exterior angle = 40°

Step-by-step explanation:

The sun of interior angles of a regular polygon is 1260°.Calculate the number of sides of the polygon and the size of each exterior angle.

a) The number of sides of the polygon

We solve using the formula

S = ( n - 2 ) × 180 °

Where S = Sum of the Interior angles = 1260°

1260° = (n - 2) × 180°

Divide both sides by 180°

1260°/180° = n - 2

7 = n - 2

n = 7 + 2

n = 9 sides

b) The size of each exterior angle

The sum of each exterior angle of a polygon = 360°

Hence, size of each exterior angle = 360°/number of sides of the polygon

= 360°/9

= 40°