What is the DOMAIN of this graph?

Answer:

The answer is below

Step-by-step explanation:

a) dV/dt = 5 cm³/s

The volume (V) of the bubble is:

[tex]V=\frac{4}{3} \pi r^3\\\\Differentiating\ with\ respect\ to \ time(t)\\\\\frac{d}{dt}(V)=4\pi r^2 \frac{dr}{dt} \\\\Substituting\ \frac{d}{dt}(V)=5\ cm^3/s \ and\ r = 10\ cm\\\\5 = 4\pi *10^2*\frac{dr}{dt}\\\\5=400\pi *\frac{dr}{dt}\\\\\frac{dr}{dt}=0.004\ cm/s[/tex]

b) The surface area of the sphere (A) is:

[tex]A=4\pi r^2\\\\Differentiating\ w.r.t.\ t:\\\\\frac{dA}{dt}= 8\pi r\frac{dr}{dt} \\\\r=10, dr/dt=0.004\\\\\frac{dA}{dt}= 8\pi *10*0.004\\\\\frac{dA}{dt}=1\ cm^2/s[/tex]

The rate at which the radius of the bubble is changing at that time is [tex]0.0125 \pi cm^2/s[/tex]

The rate at which the surface area of the bubble is changing at that time is [tex]\pi^2 cm^2/s[/tex]

The formula for calculating the volume of a sphere is expressed as;

[tex]V =\frac{4}{3} \pi r^3[/tex]

r is the radius of the sphere

Differentiating the volume with respect to time;

[tex]\frac{dV}{dt} = \frac{dV}{dr} \times \frac{dr}{dt} \\\frac{dV}{dt} = 4 \pi r^2\frac{dr}{dt}[/tex]

Given the following parameters

dV/dt = 5 cm^3/sec.

r = 10 cm

Substitute into the formula to get dr/dt

[tex]\frac{dV}{dt} = 4 \pi (10)^2 \times \frac{dr}{dt}\\5 = 400 \pi \times \frac{dr}{dt}\\ \frac{dr}{dt}=0.0125 \pi cm/s\\[/tex]

The surface area of the bubble is expressed as:

[tex]S = 4 \pi r^2\\\frac{dS}{dt} = \frac{dS}{dr}\times \frac{dr}{dt}\\ \frac{dS}{dt} =8 \pi r \times 0.0125 \pi\\ \frac{dS}{dt} =\pi ^2 cm^2/s[/tex]

Hence the rate at which the surface area of the bubble is changing at that time is [tex]\pi^2 cm^2/s[/tex]

Learn more here: https://brainly.com/question/12663882

Answer:

Hey! so its simple to find the decimal you need to divide so 12/9 is 1.33

Step-by-step explanation:

Hoped I helped please put me on brainliest oh and have a great day! ^-^

that is what the line will look like.

This is a straight line. We only need 2 points to graph a straight line.

Let x = 0

y = -(0) - 1

y = -1

Our first point is (0,-1).

Let x = 1

y = -(1) - 1

y = -2

Our second point is (1,-2).

See attachment for graph.

Answer:

C. 3

Step-by-step explanation:

3 x 5 = 15, 15 + 2 = 17 :)

Answer:

Step-by-step explanation:

[tex]x_{1,\:2}=\frac{-\left(-29\right)\pm \sqrt{\left(-29\right)^2-4\cdot \:14\left(-15\right)}}{2\cdot \:14}[/tex]     so    [tex]x=\frac{5}{2}[/tex]     [tex]x=-\frac{3}{7}[/tex]

Answer:

I think C and E

Step-by-step explanation:

meg played at lace of 3.3333 tiles a minute so has to be over 25 tiles

The correct options are C and D.

Important information:

The rate per tile of Meg is:

[tex]\text{Rate}=\dfrac{\text{Time}}{\text{No. of tiles}}[/tex]

[tex]\text{Rate}=\dfrac{50}{15}[/tex]

[tex]\text{Rate}=3.333...[/tex]

Calculate the rates per tile for each option.

[tex]\frac{85}{20}=4.25[/tex]

[tex]\frac{85}{24}=3.54167...[/tex]

[tex]\frac{85}{28}=3.0357...[/tex]

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

[tex]\frac{4}{1}=4[/tex]

From the above calculation is clear that the time spent per tile is less than Meg's rate in options C and D.

Therefore, the correct options are C and D.

Find out more about 'Rates' here:

https://brainly.com/question/17879320

Answer:C

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answer would be C, It would be 300$ an hour and then you multiply that by the amount of weeks you get the number in C.

Answer:

(3,6)

Step-by-step explanation: it is a reflection across the x-axis which is positive (3,6)

105.1 You simply find the amount fomr each and add them up hope this helped.

Answer:

Step-by-step explanation:

Answer:

CAD = 128

Step-by-step explanation:

Answer:

$15.75

Step-by-step explanation:

Multiply the cost of one pound, 3.50 times how many we want, 4.5

3.5×4.5=15.75

Answer: $15.75

Step-by-step explanation:

3.5 x 4.5 = 15.75

Perimeter = 2x length + 2x width.

2(2x+3) + 2(x-5) = 44

Simplify:

4x + 6 +2x -10 = 44

Combine like terms:

6x -4 = 44

Add 4 to both sides:

6x = 48

Divide both sides by 6:

X = 8

Now replace x with 8 in the equation for length:

2x + 3 = 2(8) +3 = 16 + 3 = 19 cm

Length = 19 cm

The answer would be

8.64 x 10^4

Answer:

the answer is 172

Step-by-step explanation:

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[tex]PRQ = \frac{PQ +TS}{2} \\ [/tex]

[tex]PRQ = \frac{102 + 70}{2} \\ [/tex]

[tex]PRQ = \frac{172}{2} \\ [/tex]

[tex]PRQ = 86°[/tex]

Thus the correct answer is (( A )) .

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Answer:

(- 2x , - 2y)

Step-by-step explanation:

A(x, y) ----> A' (kx, ky)

~~~~~~~~

H(- 1 ,1) ----> [k(- 1), k(1)] ----> G(2, - 2) ⇒ k = - 2

M( - 1.5, - 4) -----> [(- 2)(- 1.5) , (- 2)(- 4)] ------> R(3. 8)

k = - 2

Thus, the rule of dilation centered in origin is (- 2x , - 2y)

Answer:

0.32989690721

Step-by-step explanation:

Answer:

rounded to the nearest hundred: 0.33

Step-by-step explanation:

hope this helps :3

Answer:

cant help uu :(

Step-by-step explanation:

Given:

A sofa regularly sells for $710.

The sale price is $553.80.

To find:

The percent decrease of the sale price from the regular price.

Solution:

We have,

[tex]Decrease\%=\dfrac{\text{Regular price - Sale price}}{\text{Regular price}}\times 100[/tex]

[tex]Decrease\%=\dfrac{710-553.80}{710}\times 100[/tex]

[tex]Decrease\%=\dfrac{156.2}{710}\times 100[/tex]

[tex]Decrease\%=0.22 \times 100[/tex]

[tex]Decrease\%=22\%[/tex]

Therefore, the percent decrease of the sale price from the regular price is 22%.

Answer:c

Step-by-step explanation:

I just toke the quiz

Answer:

c

Step-by-step explanation:

Answer:

x>-1

Step-by-step explanation:

your welcome-

work-

Step by Step Solution:

More Icon

Rearrange:

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

                    (6*x-3)-((4*x-5))>0

Step by step solution :

STEP

1

:

Pulling out like terms

1.1     Pull out like factors :

  2x + 2  =   2 • (x + 1)

Equation at the end of step

1

:

STEP

2

:

2.1    Divide both sides by  2

Solve Basic Inequality :

2.2      Subtract  1  from both sides

           x > -1

Inequality Plot :

2.3      Inequality plot for

        2.000 X  + 2.000  >  0

One solution was found :

x > -1

Answer: -6, -3, 0

Step-by-step explanation:

Because it’s right :)

Answer:

A, C, E

Step-by-step explanation:

-6, -3, 0

Answer:

Step-by-step explanation:

Whats the question???

Answer:

RIP to all those kings!!

Step-by-step explanation:

Answer:

The answer is C 66%

Step-by-step explanation:

Answer:

its perpendicular

Step-by-step explanation:

Answer:

450

Step-by-step explanation: 90x 5 = 450  hoped i helped

Step-by-step explanation:

250 i think sorry if im wrong solution it said 2/5 of students have hearing problems. so since there is 450 students and it said 2/5 that means 2/5 will be 250 hope if i could help.