please i need help please

How fast the volume of the sphere is changing when the surface area is 10 square centimeters is it is increasing at a rate of 30 cm³/s.

To solve the question, we need to know the volume of a sphere

The volume of a sphere V = 4πr³/3 where r = radius of sphere.

To find the how fast the volume of the sphere is changing, we find rate of change of volume of the sphere. Thus, we differentiate its volume with respect to time.

So, dV/dt = d(4πr³/3)/dt

= d(4πr³/3)/dr × dr/dt

= 4πr²dr/dt where

Given that

Substituting the values of the variables into the equation, we have

dV/dt = 4πr²dr/dt

dV/dt = 10 cm² × 3 cm/s

dV/dt = 30 cm³/s

So, how fast the volume of the sphere is changing when the surface area is 10 square centimeters is it is increasing at a rate of 30 cm³/s.

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Answer:

y = 5

Step-by-step explanation:

y = mx + c

y = 0x + 5

y = 5

This gives a flat line where y is always 5

Answer:

see the explanation

Step-by-step explanation:

the half-circle is a function because there is only one x value for each y value

the full circle is a relation becaue he circle intersects the y-axis at 1 and -1

Answer:

For the second one:

Domain: -2≤x≤2

Range: -2≤y≤2

The relation is not a function

Step-by-step explanation:

Answer:

8.5%

Step-by-step explanation:

8.5% of 94 is 7.99 which is closest we can get round to the nearest tenth of a percent.

Answer:

~ 104 135

Step-by-step explanation:

Decreasing by 8% each year means  92% is left each year

Formula

  FV = PV ( i)^n       FV = population in future  PV = pop now  

                                       i = 92% in decimal form = .92     n = years = 5

FV = 158000(.92)^5 = 104135

A percentage is a way to describe a part of a whole. The population of the city after 5 years will be 104135.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given that the population of a city is 158,000 and is decreasing by 8% every year. Therefore, the population of the city after 5 years will be,

Population after 5 years = 158,000(1-0.08)⁵

                                          = 158,000 × 0.659

                                          = 104134.8807 ≈ 104135

Hence, the population of the city after 5 years will be 104135.

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Answer:

O 4th option : (-4, -2)

Step-by-step explanation:

⇒ 9x - 9y = -18

⇒ -6x + 9y = 6

⇒ (x , y)

⇒ (-4, -2)

Answer:

(-4, -2)

Step-by-step explanation:

When using the elimination method, we combine the equations to get one. To combine them, we have to find a term with a number that is either positive or negative to the other, example : -6y and 6y, or 4x and -4x. We then take them and combine both equations to get one. Becuase they are the same, they simply cancel each other out.

9x - 9y = -18

-6x + 9y = 6

3x = -12

Divide both sides by 3 to get x alone

x = -4

Now, to find the y value, we can now plug in what we found for x.

9(-4) - 9y = -18

-36 - 9y = -18

Add 36

-9y = 18

Divide by -9

y = -2

Therefore making the solution, (-4, -2)

Answer:

Mean=30

Median=30.5

Mode=None

Range=11

Step-by-step explanation:

The mean is all the numbers added together then divided by how many numberes there are.

24+28+33+35=120

120/4=30

Median is the the middle of the data set when arranged least to greatest. Since its a even number the median will consist of two numbers. 28 and 33

28+33=61

61/2=30.5

Mode is the number most seen in the data set. Theyre all seen once so no mode

Range is the highest value subtracted from the lowest.

24-35=11

Answer:

its the fourth one g(x)=-⅔x+4

Step-by-step explanation:

the incline of the graph is down , and the point the graph meets y axis is +4

Answer:nits c

Step-by-step explanation:

Answer:

B, D, E

Step-by-step explanation:

Got it right on edge 2022

Sequence: 1, 3, 6, 10, 15, …

If sequence is arithmetic, [tex]\boxed{\sf \bold{second \ term = \dfrac{first \ term+third \ term}{2} }}[/tex]

If sequence is geometric, [tex]\boxed{\sf \bold{second \ term = \sqrt{first \ term \ * \ third \ term} }}[/tex]

Check for arithmetic:

[tex]\sf \rightarrow 3 = \dfrac{1+6}{2}[/tex]

[tex]\sf \rightarrow 3 =3.5[/tex]    Hence, the sequence is not arithmetic

Check for geometric:

[tex]\sf \rightarrow 3 = \sqrt{1*6}[/tex]

[tex]\sf \rightarrow 3 = \sqrt{6}[/tex]   Hence, the sequence is not geometric

Solution:

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

[tex] \textbf{Let's see if the sequence is Arithmetic or Geometric :} [/tex]

[tex] \textsf{and} [/tex]

[tex]\textsf{Since neither common difference is same, }[/tex] [tex]\textsf{nor common ratio is same, therefore }[/tex] [tex] \textsf{we can infer that it's neither an Arithmetic progression} [/tex] [tex] \textsf{nor Geometric progression. } [/tex]

Hope it helps ~

Answer:

0.9

Step-by-step explanation:

20/23 = 0.869565217, which rounded to the nearest tenth is 0.9

Answer:

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

Step-by-step explanation:

You cross multiply the x under 3 and multiply it by 9;

[tex]3=9x[/tex]

Divide both sides by 9;

[tex]\frac{3}{9} =x[/tex]

3/9 can also be called 1/3;

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

Hope This Helps! :)

Answer:

for find

97 + 47

144

so --

triangle property

180 - 144

36

missing angle is 36

Answer:

36°

Step by step explanation:

✿Determine the measure of angle x

Step 1:

Add together the known angles

Step 2:

Subtract the sum from 180°

"so the final answer would be the missing angle"

The third option is right. Raman rode 3miles/hr slower than Hector

Step-by-step explanation: Distance covered by Raman is 45miles In 3hours., his speed is 15miles/hr

Raman: 45=15×3 (45miles in 3hrs)

Hector: y=18× (54miles In 3hrs)

Distance = speed ×time

Answer:

She will need $10000 in financial aid

Step-by-step explanation:

Step 1:  Determine the money in 4 yeras

$250 a month * (4 years * 12 months per year)

$250 a month * (48 months)

$12000

Step 2:  Determine the total amount

$50000 + $12000

$62000

Step 3:  Determine the difference

$72000 - $62000

$10000

Answer:  She will need $10000 in financial aid

Answer:

She will need $10000 in financial aid

Step-by-step explanation:

Step 1:  Determine the money in 4 yeras

$250 a month * (4 years * 12 months per year)

$250 a month * (48 months)

$12000

$50000 + $12000

$62000

Step 3:  Determine the difference

$72000 - $62000

$10000

Answer:  She will need $10000 in financial aid

S'(4, -2) and T'(1, -1) and U'(-1, -3) and V'(2, -5)

[tex]Find\ the\ coordinates\ of\ the\ point\ after\ reflected\ in\ the\ line\ of\ symmetry:\\ \downarrow\\ S'(-4,-2)\ and\ T'(1,-1)\ and\ U'(-1,-3)\ and\ V'(2,-5)[/tex]

I hope this helps you

:)

Answer:

7.50x + 12.50y = 300

Step-by-step explanation:

Answer: 49.8

Step-by-step explanation:

The year the model would most likely  be sufficient to make a prediction of the population is 2005.

The model of the population is an exponential function. An exponential function usually has the form: [tex]ab^{x}[/tex]. An exponential function is usually most accurate when the time horizon of prediction is the shortest. Based on the options, the shortest time after 2000 is 2005.

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The area of the figure which consist the two semicircles and one rectangle with 4×8 ft dimensions is 44.6 ft².

Area of a rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,

A=a\times b

Here, (a)is the length of rectangle and (b) is the width of the rectangle

The given figure is in two parts. It is made with 2 semicircles and 1 rectangle. The length of the rectangle part is 8 ft and width of it is 4 ft long. Thus, the area of this part is,

[tex]A_r=8\times4\\A_r=32\rm\; ft^2[/tex]

There are two semicircles, which make one complete circle. Thus, the area of this two semicircle with radius 2 ft, is,

[tex]A_c=\pi \times2^2\\A_c=12.57\rm\; ft^2[/tex]

Thus, the area of this composite figure is,

[tex]A=A_r+A_c\\A=32+12.57\\A=44.57\rm\; ft^2\\A=44.6\rm\;ft^2[/tex]

Thus, the area of the figure which consist the two semicircles and one rectangle with 4×8 ft dimensions is 44.6 ft².

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Answer:

p<15/2

Step-by-step explanation:

p<(25+5)/4

p<30/4

p<15/2

Answer:

2

Step-by-step explanation:

m is the slope

y=mx+b

y is equation

m is slope (movement)

b is base

Answer:

n = -9

Step-by-step explanation:

4(0.5n − 3) = n − 0.25(12 − 8n)

2n - 12 = n - 3 + 2n

2n - 12 = 3n - 3

2n - 3n =  - 3 +12

-1n  = 9

n = -9

Answer:

23.3%

Step-by-step explanation:

Formula: I=PRT (Interest=Principal*Rate*Time)

I=23400-4500=18900

18900=4500*R*18

18900=81000R

R=18900/81000=0.233... Rounds to 23.3%

Answer:

x - 6y - 2 = 0

Step-by-step explanation:

Let “m” be the slope of line AB

and “a” be the slope of the line that passes through C and is perpendicular to AB

Then

[tex]m = \frac{6-0}{1-2} =-6[/tex]

The second line is perpendicular to AB

then

m × a = -1

then

-6 × a = -1

then

[tex]a=\frac{1}{6}[/tex]

C(2,0) lies on the line of equation y=ax+b

⇔ C(2,0) lies on the line of equation y=(1/6)x+b

⇔ 0 = (1/6)×2 + b

Then b= -1/3

Therefore Our equation is :

y = (1/6)x - 1/3

⇔ 6y = x - 2

⇔ x - 6y - 2 = 0