Find the volume of this sphere.
Use 3 for 7T
V [?]ft3
V = Tr3
1
3ft
PLEASE HELP

Using the Factor Theorem, the quadratic equation is given by:

[tex]f(x) = 6(x^2 + 10x + 24)[/tex]

The Factor Theorem states that a polynomial function with roots [tex]x_1, x_2, \codts, x_n[/tex] is given by:

[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]

In which a is the leading coefficient.

In this problem, we have a quadratic function, meaning that it has two roots, and it passes through (-6,0) and (-4,0), hence the roots are [tex]x_1 = -4, x_2 = -6[/tex], thus:

[tex]f(x) = a(x + 4)(x + 6)[/tex]

[tex]f(x) = a(x^2 + 10x + 24)[/tex]

Considering that it passes through (-3, -18), we can find a, hence:

[tex]18 = a[(-3)^2 + 10(-3) + 24][/tex]

[tex]3a = 18[/tex]

[tex]a = 6[/tex]

Hence the equation is:

[tex]f(x) = 6(x^2 + 10x + 24)[/tex]

More can be learned about the Factor Theorem at https://brainly.com/question/24380382

Answer:

696.96 million acres of land

Step-by-step explanation:

Acres not federally owned = Percentage of acres not federally owned x total acres of land

Percentage of acres not federally owned = 100% - percentage of acres federally owned

100% - 82% = 18%

0.18 x 3872 = 696.96 million acres of land

Answer:

1

when using a quadratic ration 1 is the formatted answer

Step-by-step explanation:

Answer:

7 and 1/8 i think

Step-by-step explanation:

Answer:

19 and 91

Step-by-step explanation:

The eight pair (81,18) and 63 is result. The ninth pair(91,19) and finally answer is "72". Here, we get the pair (91,19) in which we get 2 at unit place digit and 19 and 91 are the lowest possible numbers of hous

Answer:

Assuming each box = 1 unit, the answer is 7.2

Step-by-step explanation:

Answer:

Children tickets = $9

Adult tickets= $6

Answer:

n = 3

Step-by-step explanation:

Divide both sides by 24:

n = 72 / 24

n = 3

Answer:

48°

Step-by-step explanation:

33+ 99= 132

180 is the sum of all angles so u would subtract 132 from 180 giving you the answer

Answer:

If x is the last angle of a triangle, x=48. is its a just angles its, x=228.

Step-by-step explanation:

If it's a triangle its because triangle sum theorem states that all angles in a triangle add up to 180 degrees. So add the angles you know an subtract it from 180.

If it's just angels then you just need to again, add the angles you know but this time subtract it from 360 as that's he most degrees an angle can go.

If the digit after tenth is greater than or equal to 5, add 1 to tenth. Else remove the digit. Example

124.58

The first number of right of decimal point is 5

The second digit after decimal point is 8 which is greater than 5

So add 1 to 5

Result = 124.6

no answer just explanation,

Answer:

y=-4(x,y)=(0,-4)

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

y=-2(x,y)=(4,-2)

y=-1(x,y)=(6,-1)

y=0(x,y)=(8,0)

y=1(x,y)=(10,1)

Step-by-step explanation:

Answer:

Answer attached

Step-by-step explanation:

I think you can plot it in the graph.

Answer:

32 oz per water bottle

$0.33 dollars per ounce

Step-by-step explanation:

We are already given 32 oz as the amount per water bottle, so all we need to do is calculate the dollars per ounce. We can do this by dividing the cost of the water bottle by the number of ounces.

$10.70 ÷ 32= 0.334375 ------> 0.33

Rounding to the hundredths place we get $0.33.

Step-by-step explanation:

x= how many members are in the group

x= 100/x

x= 100/(x-5)

x(x-5)=100

x^2-5x=100

x^2-5x-100=0

and then use the quadratic formula (i can't type it srry)

Answer:

Step-by-step explanation:

Initial number of members:  x

Sum of money:  K£ 100

Each had to pay:  100/x

Five members less, each paid K£1 more, we get equation:

Multiply all terms by x(x - 5) and solve the quadratic equation:

The second root is ignored as negative.

Answer:

Step-by-step explanation:

a. Width

We are given the area and the length so we can use this to find the width using the formula for rate:

Length * Width = Area

20 * w = 200

20w = 200

w = 200/20

w = 10 cm

b. Now that you have both the length and the width, the perimeter is:

= (2 * length) + (2 * width)

= (2 * 20) + (2 * 10)

= 40 + 20

= 60 cm

Answer:

9

Step-by-step explanation:

x = 3^2

x = 3*3

x = 9

Answer: . 9

Step-by-step explanation:

Simplify both sides of the equation.

Answer:

it says 5 points u baiting us?XD

Step-by-step explanation:

Answer:

Helloooo

Step-by-step explanation:

Its just 5 point but thanks :)

Answer:

4186.67 cubic inches

Step-by-step explanation:

Volume of a sphere = 4/3 π r³

π = 3.14

Diameter = 20 inches

Radius = r = Diameter/2 = 20 inches/2 = 10 inches

Volume of the sphere = 4/3 × 3.14 × (10 inches)³

Volume of the sphere = 12560 ÷ 3

= 4186.6666667 cubic inches

Approximately to the nearest hundredth = 4186.67 cubic inches

Therefore, the volume of the ball is 4186.67 cubic inches.

Answer:

B. y = 4x2

Step-by-step explanation:

Answer: The quadratic function y=4x^2 has the narrowest graph.

Answer:

2n.

Step-by-step explanation:

This an arithmetic sequence with a1 = 2 and d = 2

an = a1 + d(n - 1)

= 2 + 2(n - 1)

= 2n + 2 - 2

= 2n.

Answer:

102

Step-by-step explanation:

170*(60%) = 170 *0.6= 102

60% of the entire part is also 0.6

Answer:

I inch per hour for 2 hours = 2 inches

2 inches per hour for 6 hours = 6*2 = 12 inches

1 inch per hour for 1 hour = 1 inch

2+12+1 = 15 inches of snow total

Step-by-step explanation:

credit to: musiclover10045

Answer:

Sailing end at 3:15 AM

Step-by-step explanation:

Connor did archery and sailing before dinner (in that order).

He started at 12:00 PM

We know that:

In archery, Connor spent 1 hour and 15 minutes

In sailing, Connor spent 2 hours.

The total time spent is:

1 hour + 15 minutes + 2 hours

3 hours + 15 minutes.

Then sailing end 3 hours and 15 minutes after 12:00 pm = 0:00 am, this is:

3:15 AM

Sailing end at 3:15 AM

Answer:

1. To find the volume of a cylinder you'll need to use the formula V = pi(r)^2(h)

V = pi(4)^2(6)

V = 301.59

Rounded* = 301.6

2. A beach ball is a sphere, so we're going to use the formula 4/3pi(r)^3

4/3pi(18)^3

D =  24429.02

Rounded* = 24429.0

I cant read the last one completely, hope this helps.

Answer:

11

Step-by-step explanation:

dont forget to five-star and heart!

Answer:

A!

Step-by-step explanation:

Hope that helps have an amazing day! <3

Answer:

See below.

Step-by-step explanation:

As the diameter is 5 inches, the radius “r” is 5/2 = 2.5 inches.

We calculate the volume of a sphere as follows: [tex]V = 4/3 \pi r^3[/tex]

As we have to use 3.14 for pi, we’ll use that instead of “true” pi.

The formula becomes:

[tex]V = 4/3*3.14*2.5^3 = 65.42[/tex]

The volume of the sphere is 65.42 cubic inches.