Which is the correct formula to calculate the volume of a sphere?
a.
Four-thirds pi r squared
c.
One-third pi r cubed
b.
Four-thirds pi r cubed
d.
4 pi r cubed



Please select the best answer from the choices provided


A
B
C
D

Not a

Answer:

12 ft² :)

Step-by-step explanation:

Area of a parallelogram = base * height

4 * 3 = 12

Area of the parallelogram = 12 ft²

Answer:

8 th term

Step-by-step explanation:

Continuing the sequence from the last term given (term 4 )

a₅ = 0.5 × 28.5 - 2 = 14.25 - 2 = 12.25

a₆ = 0.5 × 12.25 - 2 = 6.125 - 2 = 4.125

a₇ = 0.5 × 4.125 - 2 = 2.125

a₈ = 0.5 × 2.125 - 2 = 1.0625 - 2 = - 0.9375 ← negative

The first term to be negative is term 8

Answer:

There are 86,400 seconds in a day. (Answer choice C)

Answer:

First graph -2/3x+6 (Slope of -2/3)

(Y intercept of 6)

Then shade everything under that line

Answer:

1

Step-by-step explanation:

8:8=1

Answer:

8:8 simplified is 1:1 or just 1 for short.

Answer: Organizes Data

Step-by-step explanation:

A table can help you organize information, and it can show patterns you can make tables with time, line plots, graphs

Answer:

12 ÷ –6, –12 ÷ 6, 6 ÷ –3, –6 ÷ 3

Step-by-step explanation:

Ignore the negative signs. If their quotient is 2 and only 1 of the 2 numbers have a negative sign, they make -2.

Answer:

2

4

And 5

Step-by-step explanation:

Answer:

area=πr√{h^2+r^2}

area=704cm^2, Height(h) =25cm

therefore,

by solving, πr√{h^2+r^2}=704cm^2

you will get value of r.

now, volume=πr^2×h/3

putting all values answer will come

Step-by-step explanation:

Answer

C

Step-by-step explanation:

PRIMERO ENCUENTRAS x

y = 6x - 5

y =  x + 5 (-1)

      5x + 10

x = 10/5 = 2

ENTONCES 2 SE SUSTITUYE EN CUALQUIERA DE LAS DOS ECUACIONES

ORIGINALES.

y = 62) - 5 = 7

Answer:

A. 7

Step-by-step explanation:

7= 1*7

8= 1*8= 2*4

9= 1*9= 3*3

10= 1*10= 2*5

Answer:

5

Step-by-step explanation:

Answer:

432 cm²

Step-by-step explanation:

To find the surface area of a cuboid, there is a formula.

2lw+2lh+2hw

Length is l, height is h, and width is w.

2(12)(8)+2(12)(6)+2(6)(8)

Multiply all the terms.

336+96

Add both the terms.

= 432

The surface area of the open cuboid is 432cm².

Answer:

432 cm²

Step-by-step explanation:

The formula.

2lw+2lh+2hw

Length is l, height is h, and width is w.

2(12)(8)+2(12)(6)+2(6)(8)

336+96

= 432

The surface area of the open cuboid is 432cm²

Answer:

x = 8

Step-by-step explanation:

==>Given that a family pool with a quadrilateral shape ABCD is similar with the dog pool EFGH, we can find the value of x by using the proportion of their corresponding sides.

Since ABCD ~ EFGH, the proportion of their corresponding sides are equal.

Thus, AB/EF = BC/FG = CD/GH = DA/HE

We have: 3/y = 4/3 = 5/z = x/6

Finding z:

4/3 = 5/z

Cross multiply

4*z = 5*3

4z = 15

z = 15/4

z = 3.75

Let's find x:

5/z = x/6

5/3.75 = x/6

Cross multiply

6*5 = x*3.75

30/3.75 = x

8 = x

x = 8

Answer:

Step-by-step explanation:

[tex]f(x) =x^2[/tex] is, in vertex form,

[tex]f(x)=(x-h)^2+k[/tex] where h and k, the vertex, is (0, 0). It is positive because it opens upwards.

g(x) opens downward, so we know that it is negative. Because it is DOWN 4 units from the origin, is has been moved down -4. Putting that together, we can determine that the equation for g(x) is

[tex]g(x)=-x^2-4[/tex], choice D in your list.

Answer:

D

Step-by-step explanation:

The opposite side of function f(x) is g(x). So -x².

The y-intercept is -4.

- x² - 4

Answer:

[tex]10\sqrt{14} +8\sqrt{21} + 30\sqrt{3} +36\sqrt{2}\\[/tex]

Step-by-step explanation:

[tex](2\sqrt{7} + 3\sqrt{6} )(5\sqrt{2} +4\sqrt{3} )\\= 10\sqrt{14} +8\sqrt{21} + 15\sqrt{12} +12\sqrt{18} \\=10\sqrt{14} +8\sqrt{21} + 15\sqrt{4*3} +12\sqrt{9*2} \\= 10\sqrt{14} +8\sqrt{21} + 15*2\sqrt{3} +12*3\sqrt{2} \\=10\sqrt{14} +8\sqrt{21} + 30\sqrt{3} +36\sqrt{2} \\\\[/tex]

Hope this helps!

Answer:

(2√7 + 3√6) x (5√2 + 4√3)

Multiply the parentheses

= 10√14 + 8√21 + 15√12 + 12√18

= 10√14 + 8√21 + 30√3 + 12√18

Answer:

67°

Step-by-step explanation:

Given:

Height of helicopter from the ground, x = 665 feet

Distance from the helicopter to the girl's line of sight(opposite) = 665ft - 5 ft = 600 ft

Horizontal distance(adjacent) =  280 ft

To find the angle of depression, use the formula:

[tex] tan y = \frac{x}{y} [/tex]

Solve for y:

[tex]y = tan^-^1 (\frac{x}{y})[/tex]

[tex]y = tan^-^1 (\frac{660}{280}) = 67.01[/tex]

Angle of depression = 67°

Answer:

67 degrees

Step-by-step explanation:

Answer:

8 - 6x + 10x - 15 = 20 -5x

8 + 4x - 15 = 20 - 5x

8 - 15 = 20 - 9x

6 = 20 - 9x

-14 = -9x

divide by -9  .736

Step-by-step explanation:

The solution of the equation 2 (4 – 3x) + 5 (2x – 3) = 20 – 5x will be 3. Then the correct option is D.

The solution of the equation means the value of the unknown or variable.

The equation is given below.

2 (4 – 3x) + 5 (2x – 3) = 20 – 5x

Simplify the equation, we have

2 (4 – 3x) + 5 (2x – 3) = 20 – 5x

      8 – 6x + 10x – 15 = 20 – 5x

                              9x = 27

                                x = 3

Then the correct option is D.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

Answer:

1:9 probability it will fall on "L" and there is a 0:9 probability it will fall on "T" because "SNOWFLAKE" doesn't have the letter "T" in it.

Answer:

Read below.

Step-by-step explanation:

x will represent the number

[tex]\frac{1}{2} x-7=1\frac{5}{10} \\\\\frac{1}{2} x-7=1\frac{1}{2}\\\\x-14=3\\\\x=17[/tex]

I don't know you answer choices because they don't really make sense but change them and I'll edit this. Or it could already be one in my working.

Answer: no it’s not

Step-by-step explanation:

it’s a square

Answer:

Step-by-step explanation:

We'll write each one of these statements into an algebraic equation. The word "is" means "=", the words "more than" mean "+", and "difference" means subtraction. x will be one number, and y will be the other number. The first sentence, then, in an algebraic equation, is

x = 2y + 7

The second equation, then, is

x - y = 22

Since we know from the first equation what x is equal to, we will sub in what x equals into the second equation in place of x:

2y + 7 - y = 22 and

y + 7 = 22 so

y = 15.

Sub that in for y to solve for x:

x - 15 = 22 so

x = 37

Answer:

its 37

Step-by-step explanation:

Answer:

Solution,

[tex]f(x) = - 4 {x}^{2} + 5x \\ f(6) = - 4 \times {6}^{2} + 5 \times 6 \\ \: \: \: \: \: \: = - 4 \times 36 + 30 \\ \: \: \: = - 144 + 30 \\ \: \: \: - 114[/tex]

hope this helps.

Good luck on your assignment..

Answer:

-114

Step-by-step explanation:

To find f(6), you need to plug in the value in parentheses wherever there is an x in the equation.

f(x) = -4x + 5x

f(6) = -4(6) + 5(6)

f(6) = -4(36) + 30

f(6) = -144 + 30

f(6) = -114

The answer is -114.

Answer:

The required probability is:

[tex]\dfrac{1}{9}[/tex]

Step-by-step explanation:

It is given that Emma has two fair dice.

To win, she needs to score 5 using both dice.

Cases, where she can have 5:

{(1,4), (4,1), (2,3), (3,2)}

Let the event be A that she gets a score = 5

Total number of favorable cases, n(A) = 4

Total number of cases for throw of 2 dice, n(S) = 36

These are:

{

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)

}

Formula for probability of an event E  is given as:

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]

or

[tex]P(E) = \dfrac{\text{n(E)}}{\text {n(S)}}[/tex]

Using the above formula, the required probability:

[tex]P(A) = \dfrac{\text{n(A)}}{\text {n(S)}}\\\Rightarrow \dfrac{4}{36}\\\Rightarrow \dfrac{1}{9}[/tex]

So, the required probability is [tex]\dfrac{1}{9}[/tex].

Answer:

The force pulling down the ramp is 374.6 lb

The force pressing on a line perpendicular to the ramp is 927.1 lb

Step-by-step explanation:

Given;

weight of boat (mg) , w = 1000 lb

angle of inclination of the ramp, θ = 22 degrees.

The force pulling the boat down, which is 'mg' has two components; the parallel component of the force which is pulling down the ramp and the vertical component of the force which is force pressing on a line perpendicular to the ramp

Parallel component of the force, F = mgsinθ

                                                      F = wsinθ

                                                      F = 1000 sin(22)

                                                      F = 1000 x 0.3746

                                                     F = 374.6 lb

Vertical component of the force which is force pressing on a line perpendicular to the ramp.

F = mgCosθ

F = wCosθ

F = 1000 x Cos(22)

F = 1000 x 0.9271

F = 927.1 lb

Answer:

g(1) = 1.8696

g(2) = 1.8662

Step-by-step explanation:

Simply plug in the x values into the equation in a calc and you should get your answer.

Answer:

i hope this helps and its clear !

Answer:

A & D

Step-by-step explanation:

=> 3x²+2x-5 = 0

=> Using Mid-term Break Formula

=> 3x²-3x+5x-5 = 0

=> 3x(x-1)+5(x-1) = 0

=> (3x+5)(x-1) = 0

Either,

3x+5 = 0    OR   x-1 = 0

x = [tex]-\frac{5}{3}[/tex]        OR    x = 1

Answer:   x = 1       and        x = 5/3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the function f(x)=(x+4)², the x intercept occurs at f(x)  = 0, substituting f(x) = 0 into the given equation to get the value of x we have;

[tex]0 = (x+4)^{2} \\[/tex]

Taking the square root of both sides

[tex]\sqrt{(x+4})^{2} = \sqrt{0}\\ x+4 = 0\\[/tex]

Subtracting 4 from both sides of the equation

[tex]x+4-4 = 0-4\\x = -4[/tex]

Therefore the x intercept of the equation is -4

Answer:

It is D.

Step-by-step explanation:

270 degrees counterclockwise is 90 degrees clockwise.