What’s the volume for this problem?

Since the price has been increasing by $7 per month, the rate at which revenue is changing when the price is $70 is $24500/month

To answer the question, we need to know what revenue is

This is the total price for the total amount of goods sold.

Revenue, R = px where

So, R = px

= p(77000 - 5p²)

= 77000p - 5p³

To find the rate at which the revenue is increasing with respect to price, we differentiate R with respect to p.

So, dR/dp = d(77000p - 5p³)/dp

= 77000dp/dp - 5dp³/dp

= 77000 - 15p²

Substituing p = 70 into dR/dp, we have

dR/dp = 77000 - 15p²

dR/dp = 77000 - 15(70)²

= 77000 - 15(4900)

= 77000 - 73500

= 3500

The rate at which the revenue is changing per month is

dR/dt = dR/dp × dp/dt where dp/dt = rate at which price is changing = $7 per month.

Now, dR/dt = dR/dp × dp/dt

So, dR/dt = 3500 × $ 7/month

dR/dt = $24500/month

So, the rate at which revenue is changing when the price is $70 is $24500/month

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Answer:

The Answer is 8m square

Step-by-step explanation:

2m is the width

4m is the length

Answer:

52m²

Step-by-step explanation:

First since its only showing the front, top, and right side of the shape you count up all of the cubes you see.

Amount of cubes on each side:

Front: 6 cubes

Top: 8 cubes

Side: 12 cubes

6+8+12=26 cubes

But there is 6 sides total on the shape. Because we only did 3 sides, to get the final answer you multiply it by 2.

26×2=52

Final answer: 52m²

Answer:

44°

Step-by-step explanation:

180° - 68° = 112° (Angle 1)

The sum of the angles of a triangle is equal to 180°, so:

180° - 112° - 24° = 44°

[tex]\left( 8^{\frac{2}{3}} \right)^{\frac{1}{2}}\implies \left( (2^3)^{\frac{2}{3}} \right)^{\frac{1}{2}}\implies 2^{3\cdot \frac{2}{3}\cdot \frac{1}{2}}\implies 2^{\frac{1}{1}}\implies 2[/tex]

Answer:

B.

Step-by-step explanation:

1) if s-slope and i-interception of the equation y=sx+i, then

2) the required equation is

[tex]y=\frac{1}{4}x -5.[/tex]

3) correct answer is B.

Answer:

Solution: The radius of the circle is 7 inches and the angle is 60°. So, let us use the area of sector formula. The area of sector = (θ/360°) × π r2 = (60°/360°) × (22/7) × 72 = 77/3 = 25.67 square units.

Step-by-step explanation:

yan po ang sagot.

Answer:

x=8

Step-by-step explanation:

2x-5 = x+3

2x = x+8

x=8

[tex]\huge{\boxed{\mathfrak\pink{\fcolorbox{pink}{pink}{Answer:-}}}}[/tex]

[tex] \underline{ \boxed{ \sf{✰\: Important \: points:- }}}[/tex]

[tex] \underline{ \boxed{ \sf{✰\: Let's\:Solve}}}[/tex]

[tex] \sf \: ↠x + 3 = 2x - 5 \\ \sf \:↠ arranging \: terms \\\sf \: ↠ - 2x - x - = - 5 - 3 \\ \sf \: ↠- x = - 8 \\\sf \: ↠ x = - ( - 8) \\\sf \: ↠ x = 8[/tex]

★ Hence x= 8

Hope it helps!

Answer:21x^2+14x over 2

Step-by-step explanation:

Answer: 0.44 qtr

Step-by-step explanation:

10 centimeters to quarters = 0.44 qtr

80-20=40

1/5 of 40 =8

80-48=32

32 oranges

Answer:

[tex](x + 3)^2 + (y - 5)^2 = 5^2[/tex]

Step-by-step explanation:

Well, the center origin of the circle is given (h,k) =  (-3,5).

Point on the circle is (x,y) = (1,8)

We have to find our radius as they gave us a point. from origin to the edge of the circle.

Using the formula: (x - h)^2 + (y - k)^2 = r^2

Plug in our (h,k) = (-3,5) and (x,y) =  (1,8) to solve for radius.

(x - h)^2 + (y - k)^2 = r^2

(1 - (-3))^2 + (8 - (5))^2 = r^2

(4)^2 + (3)^2 = r^2

16 + 9 = r^2

r^2 = 25

r = 5

Answer:

2 1/2

Step-by-step explanation:

To solve this, we subtract 1 7/8 from 4 3/8 because Kyle "gives" away his candy. The answer to this is 2 1/2.

Answer:

2.5 OR 3 1/2

Step-by-step explanation:

Well we can just do

4 and 3.8 minus 1 and 7/8

like how you would do on real problems

Do the same thing to fractions instead

Hope this helps! Im a real math expert

Tell me if anymore questions!

Answer:

$356.44

Step-by-step explanation:

Answer:

1:5

Step-by-step explanation:

2:10 = 1:5
Hope it helped !

Answer: Heyaa! ~

Your Answer is... (x−7)² ,  Which is B.

Step-by-step explanation:

Factor using the perfect square rule!

Explanation:

A whole number that is the square of an integer. Example:

16 is a perfect square because 4⋅ 4 = 16.

Hopefully this helps you! ^^

Answer:

x^2 - 7x - 7x + 49

x(x - 7) - 7(x - 7)

(x - 7) (x - 7)

(x - 7)^2

The sum of the external side of a figure is its perimeter.  the perimeter of the larger flag is 48

Shapes are known to be similar if the ratioof their similar sides is equal to a constant.

From the given diagram, find the scale factor of the large triangle

k = 12/4

k = 3

Determine the perimeter of the large flag

Perimeter = 3 * perimeter of small flag

Perimeter of large flag = 3 * 16 = 48

Hence the perimeter of the larger flag is 48

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Step-by-step explanation:

I guess we only need to read the details of the already shown line (and don't need to calculate it from the scratch).

usually I am looking for points with integer coordinates to elaborate the equation.

I see here

(0, 2)

(3, 4)

(6, 6)

(9, 8)

the line equation is

y = ax + b

a being the slope, which is "y coordinate change / x coordinate change" when going from one point to another.

and b being the y-intercept (the y value when x = 0).

we know b already from the first point (0, 2) : b = 2.

so, for the slope we use e.g. the first 2 points

(0, 2) and (3, 4)

x changes by +3 (from 0 to 3).

y changes by +2 (from 2 to 4).

so, the slope is +2/+3 = 2/3

and the line equation is

y = 2/3 x + 2

or

y = 2x/3 + 2

Answer:

V = 4 2/3 units ^3

Step-by-step explanation:

We are given the area of the back rectangle

V = BH where B is the area of the base

V = 3 1/3 * 1 2/5

Rewriting the mixed numbers as improper fractions

V = 10/3 * 7/5

V = 70/15

Simplifying

V = 14/3

Changing back to a mixed number

V = 4 2/3 units ^3

Answer:

300 ft for 4 seconds and 10 feet for 10 seconds

Step-by-step explanation:

Answer: A????????????

Step-by-step explanation:

you need to show the following

The best representation of the preferences of all the students at her school will be 80 students.

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

The good maximum sample size is usually around 10% of the population, as long as this does not exceed 1000.

The sample size will be calculated as:-

=   10 % of 800

=  800 x  0.1 = 80 students

Therefore the best representation of the preferences of all the students at her school will be 80 students.

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Answer:

The answer is A

Step-by-step explanation:

its a multiple answer choice. so A , D

Answer:

Those are the same measurment!

Step-by-step explanation:

Conversion:

Conversion is 1cm=10mm

Answer:

[tex]A=225\pi[/tex]

Explanation:

Calculate the area of circle:

Answer: [tex]A=225\pi[/tex]

Step-by-step explanation:

Rectangle area= 40×30= 1200cm²

Triangle area= 20×20= 400cm²

Total are of composite figure= 1200+400=1600cm²

Answer:

Below in bold.

Step-by-step explanation:

Total of 10 marbles in the bag.

a) Fraction that are green = 3/10.

b) Fraction that are purple = 7/10

= 100 * 7/10

= 90*7

=  70%