Find the volume of the sphere.
Either enter an exact answer in terms of π or use 3.14 for π.

The sphere's radius is 6.

Answer:

downward, maximum value

Step-by-step explanation:

f(x) = - x^2 - 3x + 1

The negative in front of the x^2 means the graph opens downwards

The y intercept is 1

Because it opens downward it has a maximum value

Answer:

Opens downwards and has a maximum value

Step-by-step explanation:

f(x) = -x² - 3x + 1

a is the coefficient of x², which is -1

Since a < 0, it's a concave down graph which opens downwards. Therefore it has a maximum turning point

Answer:

x = 6

Step-by-step explanation:

solve the equation for x

1/3(12x-24)=18

distribute

(1/3)(12x) - (1/3)(24) = 18

4x - 8 = 18

add 8 to both sides

4x = 24

divide each side by 4

x = 6

hope this helps!

Answer:

6

Step-by-step explanation:

Answer:

− x 2 − 5 x − 17 − 47 x − 3

Step-by-step explanation:

 Divide using polynomial division.

Polynomial :

An algebraic expression consisting of one or more summed terms, each term consisting of a constant multiplier and one or more variables raised to integral powers.

Answer:

f(g(3)) =31

Step-by-step explanation:

f(x) = 3x+4

g(x) = x^2

f(g(3) ) =

First find g(3)

g(3) = 3^2 =9

The use 9 in f(x)

f(g(3)) = f(9) = 3*9+4 = 27+4 = 31

Answer: If you take out the price of the golf clinic with a local pro, you could buy 6 buckets.

Step-by-step explanation:

Answer:

B, C, and D

Step-by-step explanation: I am not sure but I do know this nswer because i took the test.

Answer:

She must buy 90 tiles for the cost to be the same at both stores

Step-by-step explanation:

Let x be the no. of tiles bought for the cost to be the same at both stores

Margo can purchase tile at a store for $0.89 per tile at shop 1

Cost of x tiles =0.89x

She rent a tile saw for $45.

So, total cost at Store 1 = 0.89x+45

At another store she can borrow the tile saw for free if she buys tiles there for $1.39 per tile.

So, cost of 1 tile = 1.39

Cost of x tiles = 1.39x

ATQ

0.89x+45=1.39x

45=1.39x-0.89x

45=0.5x

[tex]\frac{45}{0.5}=x[/tex]

90=x

Hence She must buy 90 tiles for the cost to be the same at both stores

Answer: A

Step-by-step explanation:

Distribute the 3(2x+5) which gives you 6x+15. Than add 3x+4x which gives you 7x. Subtract the 6x giving you 15=x or 15=1x, divide the one to get the x alone and you get A.

Answer:

Step-by-step explanation:

The radius of the outside of the pipe is 6 inches and the radius of the inside of the pipe

is 5.75 inches

Determine the volume of metal used to build the pipe.

The student did not properly distribute the 4 to all terms in the parenthesis:

-8n + 4(1 + 5n) = -6n - 14

First, distribute 4 to ALL terms in the parenthesis:

-8n + 4 + 20n = -6n - 14

Next, isolate the variable, n. Add 6n and subtract 4 from both sides:

-8n + 20n (+6n) + 4 (-4) = -6n (+6n) - 14 (-4)

-8n + 20n + 6n = -14 - 4

Simplify. Combine like terms:

(-8n + 20n) + 6n = -18

12n + 6n = -18

18n = -18

Isolate the variable, n. Divide 18 from both sides:

(18n)/18 = (-18)/18

n = (-18)/18

n = -1

n = -1 is your answer.

~

Answer:

-According to the student's work shown, The student needs to distribute 1 and 5[tex]n[/tex] by 4. So, the mistake was that the student did not distributed the 1 and 5[tex]n[/tex], in which the student only distributed the 1.

-The equation: [tex]8n + 4(1+5n)=-6n-14[/tex]

-Distributed Incorrectly:

[tex]8n + 4+5n=-6n-14[/tex]  (only distributed the 1 by the 4)

-Distributed Correctly:

[tex]8n + 4+20n=-6n-14[/tex]  (distributed both 1 and 5[tex]n[/tex] by the 4)

-The correct calculation:

[tex]8n + 4(1+5n)=-6n-14[/tex]

[tex]8n + 4+20n=-6n-14[/tex]

[tex]12n+4 = -6n -14[/tex]

[tex]12n + 4+ 6n=-6n+6n-14[/tex]

[tex]18n +4 = -14[/tex]

[tex]18n +4 -4 = -14 -4[/tex]

[tex]18n = -18[/tex]

[tex]\frac{18n}{18}= \frac{-18}{18}[/tex]

[tex]n = -1[/tex]

The correct answer is [tex]n = -1[/tex] .

Step-by-step explanation:

.The circumference is the distance around the circle. The circumference is equal to two times pi times the radius (C = 2*pi*r). Because the diameter is equal to two times the radius, the circumference is equal to the diameter times pi (C = D*pi), where pi is about 3.14… The diameter of a circle is 2 units.

Answer:

x= 55

Step-by-step explanation:

Answer:

the answer id 62

Step-by-step explanation: 62!!!!!!!!!!

Answer:

(1 [tex]\frac{1}{3}[/tex], 2 [tex]\frac{1}{3}[/tex] )

Step-by-step explanation:

Given the 2 equations

7x - y = 7 → (1)

x + 2y = 6 → (2)

Multiplying (1) by 2 and adding to (2) will eliminate the y- term

14x - 2y = 14 → (3)

Add (2) and (3) term by term to eliminate y

15x = 20 ( divide both sides by 15 )

x = [tex]\frac{20}{15}[/tex] = [tex]\frac{4}{3}[/tex] = 1 [tex]\frac{1}{3}[/tex]

Substitute this value of x into either of the 2 equations and solve for y

Substituting in (2)

[tex]\frac{4}{3}[/tex] + 2y = 6

2y = 6 - [tex]\frac{4}{3}[/tex] = [tex]\frac{14}{3}[/tex] ( divide both sides by 2 )

y = [tex]\frac{7}{3}[/tex] = 2 [tex]\frac{1}{3}[/tex]

Answer: 0.44mm

Step-by-step explanation:

In this problem we are asked for the height of a single playing chip. We know the volume of a cylinder is 25120 mm^3.

V=πr²h

25120=πr²h

The problem also gives the diameter of the case: 40mm.

To find radius, you divide the diameter in half.

d=2r

40=2r

r=20

With the radius, we can add that to the volume equation.

25120=[tex]\pi[/tex](20)^2h

25120=400πh

All we have left is to find the height.

h=25120/(400π)

h≈20mm

Now that we know the height, we can find the height of a single chip. The problem states about 50 chips can fit in a case. To find the height of a single chip, you would divide 20 by 50.

20mm/50 chips=0.4mm/chip.

Answer:

A and W that's awesome puzzle!!

Answer:

its A and W

i had this on my math HW to 2 weeks ago

Step-by-step explanation:

What are the next two letters in the following series and why

what are the beginning letters in all of words

W A T N T L I F S

and so the remaining is and why which is A W

so its supposed to be like this

W A T N T L I F S A W

hope this helped :D

the best would be the first choice because it's 7 dollars less than the second choice

Answer: Area of a triangle = (b*h)/2

Step-by-step explanation:

8*14= 112

112/2=56

The area of the triangle is 56 square units.

Answer:

56

Step-by-step explanation:area of aa triangle is 1/2bh

=1/2*8*14+56 square units

hope this hepls

plz mark me brainliest

Answer:

c i believe sorry if its wrong

Step-by-step explanation:

Answer:

3. A.

4. 136

Step-by-step explanation:

3. Find the surface area:

2 * 1  = 2

3 * 2.2 = 6.6

2 * 3 = 6

3 * 1 = 3

2 + 6.6 + 6 + 3 =  17.6

4. Find the surface area:

5 * 7 * 2 = 70

6 * 4 = 24

7 * 6 = 42

70 + 24 + 42 = 136

Answer: No

Step-by-step explanation:

Substitute (2,12) into the second equation.

4(2) - (12) = 0

8 - 12 = 0

-4 = 0

This statement is false.

Answer:

what is the nth day?

Step-by-step explanation:

Answer:

A

Step-by-step explanation: an=1.25(an-1-16);a1=64

:)

Geometric progression, first term 5, common ratio 3.

Answer: 5, 15, 45, 135

Answer:

1,155 elk are infected.

Step-by-step explanation:

Let's use a ratio:

infected : fine

    11       :   50

  1155     : 5250

Answer:

x = 4

Step-by-step explanation:

Given

[tex]\frac{x}{6}[/tex] = [tex]\frac{10}{15}[/tex] ( cross- multiply )

15x = 60 ( divide both sides by 15 )

x = 4

Answer:

3

Step-by-step explanation:

Answer:

2 Real Roots

Step-by-step explanation:

The discriminant (D) is found using the formula b^2+4ac for the equation ax^2+bx+c.

If D>0 there are two real roots, D=0 one real root and D<0 no real roots.

D = b^2+4ac

D =  10^2+4(-4)(-8)

D = 100+32*4

D = 100+128

D =  228

since 228>0

There are 2 real roots

Answer:

The total number of cupcakes that Natalie dropped is 7.

Step-by-step explanation:

This question can be solved using a rule of three.

The amount of cupcakes that she has, which is 20, is 100% = 1. How many cupcakes is 35% = 0.35?

20 cupcakes - 1

x cupcakes - 0.35

x = 20*0.35 = 7

The total number of cupcakes that Natalie dropped is 7.

Answer:

∠ A ≈ 35.54°

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan A = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{5}{7}[/tex], thus

A = [tex]tan^{-1}[/tex] ([tex]\frac{5}{7}[/tex] ) ≈ 35.54° ( to the nearest hundredth )

Find the area of one side, which is length x width:

2/3 x 2/3 = 4/9 square ft.

There are 6 sides to the prism, so multiply the area of one side by 6:

4/9 x 6 = 24/9 = 2 6/9 = 2 2/3 square ft.

Answer:

the answer is attached to the picture

Answer:

1/6 or 1.6666666

Step-by-step explanation:

12 marbles, 2 yellow

12/2= 6

1/6

Answer:

The answer is 9.43 cm.

Step-by-step explanation:

The formula for circumference is πd or 2πr.

The diameter is the radius times 2. 1.5 times 2 is 3.

3 times π is about 9.43.

I hope this helps! :)