You can work a total of no more than 10 hours each week at your two jobs. Housecleaning pays $7.50 per hour that you clean and your retail job pays $10.00 an hour. You need to earn at least $56 each week to pay your bills. Write a system of inequalities that shows the various numbers of hours that you can work at each job and still pay your bills.

Answer:

5 cm/min

Step-by-step explanation:

A spherical balloon is being inflated with helium at a rate of 20π cm³/min.

The volume of a sphere is given by :

[tex]V=\dfrac{4}{3}\pi r^3[/tex] ...(1)

Differentiate equation (1) wrt t as follows :

[tex]\dfrac{dV}{dt}=3\times \dfrac{4}{3}\pi r^2\times \dfrac{dr}{dt}\\\\\dfrac{dV}{dt}=4\pi r^2\dfrac{dr}{dt}\ ....(1)[/tex]

Put dV/dt = 20π cm³/min and r = 1 cm, we can fin dr/dt

[tex]\dfrac{dV}{dt}=4\pi r^2\dfrac{dr}{dt}\\\\20\pi =4\pi (1)\times \dfrac{dr}{dt}\\\\\dfrac{dr}{dt}=5\ cm/min[/tex]

So, the radius of changing at the rate of 5 cm/min.

Using implicit differentiation, it is found that the radius is changing at a rate of 5 cm/min.

The volume of a sphere of radius r is given by:

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

Applying implicit differentiation, the rate of change is of:

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

Then:

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

[tex]20\pi = 4\pi (1)^2\frac{dr}{dt}[/tex]

[tex]\frac{dr}{dt} = \frac{20}{4}[/tex]

[tex]\frac{dr}{dt} = 5[/tex]

The radius is changing at a rate of 5 cm/min.

A similar problem is given at https://brainly.com/question/14004755

Answer:

43.2

Step-by-step explanation:

4.32 x 10 = 43.2

Answer:

easy

4.320

Step-by-step explanation:

Answer:

-30 is the right one if u need help tell me ;)-

Step-by-step explanation:

:)

Answer:

96

Step-by-step explanation:

Given that :

Standard deviation (s) = 2km

Error in estimation is within 0.4 km ; Error (E) = 0.4 km

Using the relation :

Sample size = ((Zα/2 * s) /E)^2

Using α = 0.05

The Zcritical at 0.05 = Z0.025 = 1.96

Sample size = ((1.96 * 2) / 0.4)^2

Sample size = (3.92 / 0.4)^2

Sample size = 9.8²

Sample size = 96.04

Required sample size = 96

Answer:

The person casts a shadow 3 feet long.

The building casts a shadow 15 feet long.

The ratio of the person’s shadow to the building’s shadow is 1 to 5.

If the other side of the building is 10 feet tall, the person will be 2 feet tall.

(I'm not sure what the last question meant by "the other side of the building". I assume it means the height of the building? 2 feet tall seems a bit short for a person though, but that would be correct since the building's height is 2/3 of the shadow's length, and 2/3 of the person's shadow length, 3, is 2 feet)

The building, the person and their shadows form a right triangle; The texts that complete the blanks are 3 feet long, 15 feet long, 1 to 5 and 2 feet tall.

A right triangle is a triangle that has an angle of 90 degrees

From the question, we have the following highlights:

So, the ratio of the person’s shadow to the building’s shadow is

Ratio = 3 feet : 15 feet

Simplify

Ratio = 1 : 5

When the building's height is 10 feet, we have:

Person : 10 feet = 1 : 5

Multiply by 2 feet

Person : 10 feet = 2 feet : 10 feet

By comparison, we have:

Person = 2 feet

Hence, if the other side of the building is 10 feet tall, the person will be 2 feet tall.

Read more about right triangles at:

https://brainly.com/question/2437195

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Answer:

the slope is 3

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The quotient of 2 and n is 2/n, not n/2, and if it's at most 6 that means it can equal 6 but can't go above it, so it's less than or equal to six. Hope this helped!

Answer:

24″ width, 12″ length. Let the length be X inches, then width is 2X inches, giving perimeter 2(X+2X)=6X inches, which is 72″. hence X, length =12″, and width 24″. The perimeter of a rectangle is 64 m.

Step-by-step explanation:

There ya go,

Answer:

36

Step-by-step explanation:

72 divided by four because its perimeter and you get 18 on each side since the width is double then you would do 18x2 and get 36.

Answer:

62.5% decrease

Step-by-step explanation:

Answer:

Im pretty sure 3 times

Step-by-step explanation:

Can i get branliest and heart

Have a good day!

Answer:

1 g = 1000 mg

⇒ 1 mg = 1/1000 g

1 mg = 0.001 g

Answer:

21(4)

Step-by-step explanation:

=84 that's all u have to do

Answer:

x-intercept is 6 y-intercept is -3

Step-by-step explanation:

It's really simple to graph it especially if you have something that does it for you however when you graph it-it's pretty clear which ones it is so I suggest graphing it.

Answer:

h = -2

Step-by-step explanation:

Just plug it into a calculator

Answer:

h=-2

Step-by-step explanation:

1/3h = -2/3

To find the h divide both sides by 1/3.

1/3h÷1/3 = -2/3÷1/3

h=-2

Answer:

B

Step-by-step explanation:

36 x 9 = 324

4+2=6

324^6

=324*324*324*324*324*324

=1156831381426176

Answer:

It's 0.6

Step-by-step explanation:

Answer:

the answer is 40

Step-by-step explanation:

15.23+12.8+4.93+7.21=40.17 then you round 40.17 to 40

Answer:

40

Step-by-step explanation:

15.23 + 12.8 + 4.93 + 7.21

27.31 + 12.34

39.65

round the number to a whole number

40

Answer:

12%

Step-by-step explanation:

In order to calculate this we first need to find the total that she would pay if she were to choose either of these options. We do this by multiplying the number of years it would take to pay off the loan by the 12 months in a year, and then we multiply this product by the monthly payment like so...

Minimum Payment:

(12 * 12) * 28 = $4,032

$100 a month payment:

(12* 3) * 100 = $3,600

Now that we have both we need to divide the minimum payment total by the $100 a month payment total to get the percentage increase in decimal form

$4,032 / $3,600 = 1.12

Now we subtract 1 and multiply by 100 to turn this decimal into a percentage

(1.12 - 1) * 100 = 12%

Finally, we can see that if Asa only pays the minimum then she would be paying a 12% increase as opposed to paying the $100 a month

Answer:

fuhghoierhfoqierhf

Step-by-step explanation:

Answer:

the value of the h is 6

Step-by-step explanation:

6 x 7 = 42

Answer:

To find out which one is the better buy we have to find out what the unit price of each one is.  To find a  unit price you divide the ounce by the cost.

Step-by-step explanation:

5/90=18 cents

12/240=5 cents

the 12 ounce can is less per ounce so the 12 ounce can is the better buy.

Answer:

ok step bro are you stuck let me help

Answer:

Ok so

Step-by-step explanation:

1st one is Infinte

2nd one is one soultion

3rd one is not

4th one is Infinte

5ht one is no

Hewo :>

:>             2(x-5) = 2(x-5) is infinitely

:>              5(x+4) = 5(x-6) is no solution

:>             5(x+4) = 3(x-6) is one solution

:>             4(x-2)=4(x+2) is infinitely

:>             x+2(x-5)=3(x-2)-4 is no solution

Have a nice Kawaii day :>

Answer:

in my middle school it was history

Step-by-step explanation:

Answer:

D on edge 2020

Step-by-step explanation:

the coordinate point is at (-1, 1.75)

The graph second representing the complex number 2(cos(2π/3)+i sin(2π/3)) on a coordinate plane option second is correct.

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

The complete question is:

Which graph represents 2(cos(2π/3)+i sin(2π/3))?

The graphs are in the picture, please refer to the picture.

We have a complex number;

= 2(cos(2π/3)+i sin(2π/3))

= 2(cos120 + i sin120)

= 2(-0.5 + i 0.866)

= -1 + i 1.732

The point is (-1, 1.732)

Thus, the graph second representing the complex number 2(cos(2π/3)+i sin(2π/3)) on a coordinate plane option second is correct.

Learn more about the complex number here:

brainly.com/question/10251853

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Answer:

D, 48 inches.

Step-by-step explanation:

The scale is 2 inches to 9 feet, so we need to divide the feet by 9. That equals 24 so then we multiply that by two which gives us 48 inches.

Answer:

30 i believe

Step-by-step explanation:

hope this helps. i say 30 because thats the only common multiple in those numbers :P

Answer:

1234567

Step-by-step explanation:

Answer:

False, the data set is not continuous. A histogram represents a continuous data set.

Is that an answer choice?

there if it is hope u pass good luck! :)