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Answer:

=> 12πr²

Step-by-step explanation:

The Surface area of sphere is 4πr²

so the surface area of sphere with radius 3x will be

=> 4×3πr²

=> 12πr²

Answer:

7

Step-by-step explanation:

Thing about centroids is they create segments that are spilt with one piece [tex]\frac{1}{3}[/tex] and the larger piece [tex]\frac{2}{3}[/tex] .

So, if the whole segment is 21, then the large piece is [tex]\frac{2}{3}[/tex] of 21. The small piece is [tex]\frac{1}{3}[/tex] of 21.

TE = 21 · [tex]\frac{1}{3}[/tex] = [tex]\frac{21}{3}[/tex] = 7

Answer:

FS = 48

Step-by-step explanation:

The distance from the vertex to the centroid is twice the distance from the centroid to the midpoint, so

FB = 2 BS = 2 × 16 = 32

Then

FS = FB + BS = 32 + 16 = 48

Answer:

D: 6.04

Step-by-step explanation:

100*1.08 = 108

108*0.87 = 93.96

100-93.96 = 6.04

Step-by-step explanation:

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it really helps!

Answer:

x=11

Step-by-step explanation:

The angles given are alternate exterior angles and alternate exterior angles are equal if the lines are parallel

5x+9 = 6x-2

Subtract 5x from each side

5x+9-5x = 6x-2-5x

9 = x-2

Add 2 to each side

9+2 =x-2+2

11=x

Now,

5x + 9 ( vertically opposite angle )

Then,

5x + 9 = 6x - 2 ( corresponding angle )

x = 11

I hope you understand...

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Answer:

4·x² + 24·x = 45

Step-by-step explanation:

The total area of the frame and picture needed by the photographer = 80 in²

The size of the picture that will be in the frame = 5 × 7 inch

The length of the picture = 7 inches

The width of the picture = 5 inches

Let x represent the width of the frame, we get;

The width of the total area = The width of the picture + 2 × The width of the frame

Therefore, the width of the total area = 5 + 2·x

The length of the total area = The length of the picture + 2 × The width of the frame

Therefore, the length of the total area = 7 + 2·x

We get;

The total area = Total length × Total width

∴ The total area = (5 + 2·x) × (7 + 2·x)

We are given that the total area = 80, therefore, by transitive property of equality, we have;

(5 + 2·x) × (7 + 2·x) = 80

35 + 10·x + 14·x + 4·x² = 80

4·x² + 24·x = 80 - 35 = 45

∴ 4·x² + 24·x = 45

Therefore, the quadratic equation that can be used in solving for the width is 4·x² + 24·x = 45.

Answer:

The answer is 4x^2+24x=45

Step-by-step explanation:

I got it right on my test.

Answer:

hope it helps plz mark me brainliest!

Step-by-step explanation:

4x² - 3, x less than/equal to 0

Step-by-step explanation:

y = (-1/2)[(x+3)^½]

(x+3)^½ = -2y

Square both sides,

(x+3) = (-2y)²

x+3 = 4y²

x = 4y²-3

Interswitch x and y

Inverse is 4x²-3

Domain of inverse is the range of f.

The range of f is less than/equal to 0

Because at x = -3, f(x) = 0

For x > -3, f(x) is negative

Domain of inverse is x less than/equal to 0

Answer:

n=5

Step-by-step explanation:

7n+2=4n+17

Subtract 2 from both sides

7n=4n+15

Subtract 4n

3n=15

Divide by 3

n=5

I hope it helps!

Answer:

7n+2=4n+17

7n+2−2=4n+17−2

7n=4n+15

7n−4n=4n+15−4n

3n=15

3n/3=15/3

n=5

OAmalOHopeO

Answer:

since b is 348421 and we are looking for b21 it is 348421(12)

Answer:

a =7

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp side/ adj side

tan 45 = 7/a

a tan 45 = 7

a = 7/ tan 45

a = 7 / (1)

a = 7

Answer:

It always pass through the origin.(0,0)

Step-by-step explanation:

w

Answer:

87.12

Step-by-step explanation:

Answer:

12.5

Step-by-step explanation:

Answer:

7/2 =x

Step-by-step explanation:

The triangles are similar so we can write a ratio to solve

2         4

---- = -------

x        7

Using cross products

2*7 = 4x

14 = 4x

14/4 = 4x/4

7/2 =x

Answer:

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

Step-by-step explanation:

[tex]\frac{4}{2} :\frac{7}{x}[/tex]

x · 4 = 7 · 2

4x = 14

4x ÷ 4 = 14 ÷ 4

x = 3.5

Answer:

(7, - 5 )

Step-by-step explanation:

A is positioned at (7, - 5 )

Given:

The amount of money in Joel’s account is:

[tex]j(x)=25+3x[/tex]

The amount of money in Kevin’s account is:

[tex]k(x)=15+2x[/tex]

To find:

The function that correctly represents how much more money, in dollars, is in Joel’s account than in Kevin’s account x weeks after the start of the year.

Solution:

We need to find the difference between the function j(x) and function k(x).

[tex]j(x)-k(x)=(25+3x)-(15+2x)[/tex]

[tex](j-k)(x)=25+3x-15-2x[/tex]

[tex](j-k)(x)=(25-15)+(3x-2x)[/tex]

[tex](j-k)(x)=10+x[/tex]

Therefore, the correct option is D.

Answer:

x=136

Step-by-step explanation:

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Answer:

[tex]x \geqslant 1[/tex]

Step-by-step explanation:

[tex] \sqrt{x + 6 - 7} = \sqrt{x - 1} \\ \\ x - 1 \geqslant 0 \\ x \geqslant 1[/tex]

Answer:

4

Step-by-step explanation:

x=3

x2 means 3 square (+3)

3×3+3

=9+3

12÷3

4

Answer:

Cos Θ= 21/34

Θ=cos^-1(21/36)

= 54°

OAmalOHopeO

Answer:

x = -17

Step-by-step explanation:

7(2x + 3) = 12x - 13

Distribute

7*2x +7*3 = 12x-13

14x +21 = 12x-13

Subtract 12x from each side

14x-12x+21 = 12x-12x-13

2x+21 = -13

Subtract 21 from each side

2x+21-21 = -13-21

2x = -34

Divide by 2

2x/2 = -34/2

x = -17

Answer:

6pi=2pi(r)(120/360)

r=9

C=(pi)d

C=(pi)18

c=18pi

Step-by-step explanation:

Answer:

Step-by-step explanation:

The measurement of AC = 6pi

120/360 * pi * 2 * R = 6*pi                The pi values cancel out.

1/3 * 2 * R =  6                                    Multiply by  3

2R = 18                                               Divide by 2

R = 9

the circumference = 2 * pi * R

C = 2 * pi *9

C = 18 * pi

Now you want the measurement of arc AB

120 = 6 * pi

30 = x

120/30 = 6pi/x            Cross multiply

120 * x = 180 * pi         Divide by 120

x = 180 pi / 120

x = 3/2 * pi

So the measurement of arc AB = 1.5 * pi

first send the fox alone to the other side then send the corn, the fox wont eat the corn so that should be fine then lastly go with the farmer and the chicken, hope this helps!

Answer:

Step-by-step explanation:

v(x) - W(x) = x² + 2x  - 4 - [x³ + 2x² + x + 5]

                = x² + 2x - 4 - x³ - 2x² -x - 5

                = x² - 2x² - x³ + 2x - x -4 - 5

               =  -x² - x³ + x - 9

Answer:

x³ - 3x² + x - 9

Step-by-step explanation:

V(x) - W(x) =

- x² + 2x - 4 - (- x³ + 2x² + x + 5) ← distribute parenthesis by - 1

= - x² + 2x - 4 + x³ - 2x² - x - 5 ← collect like terms

= x³ - 3x² + x - 9

Answer:

[tex]y = \sqrt{\frac{x- a}{2b}}[/tex]

Step-by-step explanation:

Step 1:  Make y the subject of this formula

[tex]x- a = a - a - 2by^{2}[/tex]

[tex]\frac{x- a}{2b} = \frac{2by^{2}}{2b}[/tex]

[tex]\sqrt{\frac{x- a}{2b}} = \sqrt{y^{2}}[/tex]

[tex]\sqrt{\frac{x- a}{2b}} = y[/tex]

Answer:  [tex]y = \sqrt{\frac{x- a}{2b}}[/tex]

Step-by-step explanation:

some of your answer options were not copied well in here.

so, I tell you the right information and how would sure it, and you need to pick the right option on your end :

the inequality is

5x + 3 <= 28

and based on that

5x <= 25

x <= 5

he can spend $5 or less on each sandwich.

Answer:

Step-by-step explanation:

6 ÷ (⅔) = 6 × (3/2) = 9

There are nine ⅔-cup servings per pitcher.

Answer:

[tex]y = -0.25x -1.5[/tex]

Step-by-step explanation:

Given

[tex](x,y) = \{(-12,1.5)(-1,-1.25),(5,-2.75),(8,-3.5)\}[/tex]

Required

The function rule (in slope intercept)

First, we calculate the slope (m) using:

[tex]m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]

This gives:

[tex]m = \frac{-1.25 -1.5}{-1 - -12}[/tex]

[tex]m = \frac{-2.75}{11}[/tex]

[tex]m = -\frac{2.75}{11}[/tex]

[tex]m = -0.25[/tex]

The equation is then calculated using:

[tex]y = m(x - x_1) + y_1[/tex]

This gives:

[tex]y = -0.25(x - -12) + 1.5[/tex]

[tex]y = -0.25(x +12) + 1.5[/tex]

Open bracket

[tex]y = -0.25x -3 + 1.5[/tex]

[tex]y = -0.25x -1.5[/tex]