What is the rate of change of the volume of a ball with respect to the radius when the radius is?

Answers

Answer 1

V=4/3*pi*r^3
dV/dr=4/3*pi*d(r^3)/dr =4/3*pi*(3*r^2)=4*pi*r^2

Related Questions

Factor polynomial 2x^2-11x+15

Answers

Use the slip and slide method:

2x^2-11x+15
x^2-11x+30
(x-6)(x-5)

(x-6/2)(x-5/2)
(x-3)(2x-5)

Final answer: (2x-5)(x-3)

━━━━━━━☆☆━━━━━━━

▹ Answer

(2x - 5) * (x - 3)

▹ Step-by-Step Explanation

2x² - 11x + 15

Rewrite:

2x² - 5x - 6x + 15

Factor:

x(2x - 5) - 6x + 15

x(2x - 5) - 3(2x - 5)

Factor:

(2x - 5) * (x - 3)

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

If tap and bre are supplementary and bre is its own complement, find the measure of tap. explain how you arrived at your answer

Answers

Supplementary angles are those whose sum is equal to 180° while those that are complementary are those whose sum is equal to 90°. Since, we are given that bre is the complement of itself, its measure can be calculated through the equation,
m∠bre + m∠bre = 90°
m∠bre = 45°

Then, for the relationship of bre and tap, we have the equation,
m∠bre + m∠tap = 180°
45° + m∠tap = 180°
m∠tap = 135°

The measure of tap is equal to 135°.

a model rocket is 3 inches long. the real rocket is 120 feet long. what is the unit rate that describes the relationship of the real rocket to the model rocket? a.360 ft/in. b.360 in./ft c.40 in./ft d.40 ft/in.

Answers

The answer is B. 360

six times the reciprocal of a number equals 2 times the reciprocal of 6. find the number.

Answers

6(x/1) = 2(1/6)

6x/1 = 1/3

6x/1 * 1/6 = 1/3 * 1/6

x = 1/18

the reciprocal of 18 is 1/18

so the number is actually 18

the development of cars has pros and cons. the car has allowed for better transportation but it is also responsible for a great deal of pollution. which activity can help reduce through pollution through the use of new technology?

A)increasing taxes on cars that pollute the most

B)making an app that allows people to share rides

C)persuading people to use existing public transportation

D)building cars that can better withstand collisions

Answers

The answer is B I think. sorry keyboard malfunction

Which expression means 7 more than a number?

A.

d × 7

B.

d + 7

C.

d ÷ 7

D.

d – 7

Answers

seven more than a number would be B. d + 7

whenever you hear a seven (or any other number) MORE THAN, think of adding that number!

Hope this helps :)

Sam's bedroom has a perimeter of 46 feet. If the length of the bedroom is 11 feet, what is the width of the bedroom?

Answers

[46 - (11 x 2) ] / 2
=24/2
= 12

How many 3 digit positive integers are odd and do not contain the digit 5?

Answers

Hello,
Assume n=a*100+b*10+c un integer positive odd with no 5.

a∈{1,2,3,4,6,7,8,9} ,#8
b∈{0,1,2,3,4,6,7,8,9},#9
c∈{1,3,7,9},#4
Number of integers searched: 8*9*4=288

A rectangleâs length is 7 inches greater than its width. if the perimeter of the rectangle is 110 inches, find its length and width.

Answers

the length would be 16, the width would be 9

@spongebobdid91

True?

Answers

That is true because <3 and <5 are remote interior to 1

True.

Based on the exterior angle theorem, where the outside angle is the sum of the two remote interior angles

hope this helps

If 40% of a given number is 8, then what is 15% of the given number?

Answers

40% of a given number is 8...
0.40x = 8
x = 8 / 0.40
x = 20....so 20 is the given number

what is 15% of 20...
0.15(20) = 3 <==== ur answer

Assume that the set s has 8 elements. how many subsets of s have at most 2 elements?

Answers

C(n,k) = n! / k! (n - k)! = number of k-combinations from a set of n elements.

The subsets of S that have 0, 1 or 2 elements include C(11,0) empty set, (C11,1) 1-element sets and (C11,2) 2-element sets.

C(11,0) = 11! / 0! 11! = 11! / 1×11! = 1
C(11,1) = 11! / 1! 10! = 10!×11 / 1×10! = 11
C(11,2) = 11! / 2! 9! = 9!×10×11 / 2×9! = 10×11/2 = 55

The total number of subsets of S that have at most 2 elements is
1 + 11 + 55 = 67

Math quest after a winter storm, the depth of the snow on cherry street was 10 \text{ cm}10 cm10, space, c, m. but then, the snow started melting at a rate of \dfrac{1}{3} \text{ cm}31 cmstart fraction, 1, divided by, 3, end fraction, space, c, m per hour.what was the depth of the snow on cherry street after 333 hours?

Answers

We are given that the initial depth of snow is 10 cm while the rate of melting is 1/3 cm per hour. So the melted ice after 3 hours is:

melted = (1/3 cm/hr) * 3 hours = 1 cm

Hence the depth left is:

depth = 10 cm – 1 cm = 9 cm

Answer:

9 cm

Answer:

9 cm.

Step-by-step explanation:

Let x be the number of hours.

We have been given that after a winter storm, the depth of the snow on cherry street was 10 cm. Then, the snow started melting at a rate of [tex]\frac{1}{3}[/tex], so the snow melted in x hours will be [tex]\frac{1}{3}x[/tex].

Since initially there was 10 cm of snow, so the depth of snow after x hours will be:

[tex]10-\frac{1}{3}x[/tex]

To find the depth of snow after 3 hours we will substitute [tex]x=3[/tex] in our expression.

[tex]10-\frac{1}{3}\times 3[/tex]

[tex]10-1[/tex]

[tex]9[/tex]

Therefore, the depth of the snow on cherry street after 3 hours will be 9 cm.

How can you use distance and slope formulas to classify quadrilaterals?

Answers

If the four pairs of intersecting lines have opposite reciprocal slopes, they have 90 degree angles. If the distance of all the sides are the same, it’s a square.

Sse the distance formula to find the length of the sides... opposite sides equal it could be a rectangle or parallelogram all sides equal, square or rhombus adjacent equal, kite and then the slope is used to check angles if the product of the 2 lines in -1 the lines are perpendicular (right angle) the the slopes of 2 lines are the same the sides are parallel. hope it helps.

Solve 10x-3=6x+85 give a reason to justify each statement

Answers

10x-3=6x+85
4x = 88
x = 22

10x-3 = 6x+85

add 3 to each side

10x=6x+88

subtract 66x from each side

4x = 88

divide 88 by 4 to get x

x - 88/4 = 22

x = 22

A radio station plays 3 1/2 minutes of commercials every 1/4 hour. At this rate, how many minutes of commercials does this radio station play in one hour?

Answers

14 minutes in one housr

A cab charges 1.45 for the flat fee and 0.55 for each mile. Write and solve an inequality to determine how many miles Ariel can travel if she has 35 dollars to spend

Answers

m = mile

.55m + 1.45 [less than or equal to] 35

subtract 1.45

.55m = 33.55

divide by .55

m = 61 miles or less

y>ax+b

b: A cab charges 1.45 for the flat fee
a: and 0.55 for each mile
x: miles she can travel
y: total money she has (35$)

so: 35>0.55 x + 1.45

solve for x:

0.55 x < 35 - 1.45

x< 61

Two angles are supplementary. one angle measures 12 degrees less than 5 times the other. find the measure of each angle

Answers

supplementary angles, when added, = 180 degrees

a + b = 180
a = 5b - 12

5b - 12 + b = 180
6b - 12 = 180
6b = 180 + 12
6b = 192
b = 192/6
b = 32 <=== one angle is 32 degrees

a = 5b - 12
a = 5(32) - 12
a = 160 - 12
a = 148 <=== the other angle is 148

Final answer:

The measures of the two supplementary angles are 32 degrees and 148 degrees, respectively.

Explanation:

The question is about finding the measures of two supplementary angles given the relationship between them. Supplementary angles are two angles whose measures add up to 180 degrees. If we let x be the measure of the first angle, then the measure of the second angle is 5x - 12 degrees, according to the problem statement.

Since the angles are supplementary, we can set up the following equation: x + (5x - 12) = 180. This simplifies to 6x - 12 = 180. Solving for x gives us x = 32, so the first angle measures 32 degrees.

Substitute x = 32 into the equation for the second angle gives us: 5x - 12 = 5(32) - 12 = 148 degrees. Therefore, the two angles measure 32 degrees and 148 degrees, respectively.

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Find the equation in standard form of the line with slope − 4 7 -47 that passes through the point ( 2 , 5 ) (2,5)

Answers

The standard form of the equation for a straight line is
y = mx + b
where m = the slope
b = y-intercept

The slope is -47, therefore
y = -47x + b

The line passes through (2,5), therefore
-47*2 + b = 5
-94 + b = 5
Add 94 to each side.
b = 5 + 94 = 99

The equation is y = -47x + 99

Answer: y = -47x + 99

At the beginning of the year Jason had $80 in his savings account. Each month he added $15 to his account. Write in expression for the amount of money and Jason saving account each month. Then use the expression to find the amount of money in his account at the end of the year

Answers

so what you do is theres 12 months so multiple that by 15 and get 180 then what you do is what time 80 equals 180 and thats your answer

HIJK is a rectangle. Find the value of x and the length of each diagonal. HJ=x and IK= 2x-7

Answers

HJ and IK are diagonals.
By definition of rectangle, the diagonals are congruent or equal.
HJ=IK
x=2x-7
-x+x=2x-x-7
0=x-7
0+7=x-7+7
7=x and 2x-7=2 (7)-7=14-7=7
Diagonals are equal and are equal to 7

The value of x will be equal to 7 for the two diagonals HJ and IK.

What is geometry?

Geometry is one of the oldest branches of mathematics, along with arithmetic. It is concerned with spatial properties such as figure distance, shape, size, and relative position. A geometer is a mathematician who works in the field of geometry.

Given that the length of each diagonal is HJ=x and IK= 2x-7

HJ and IK are diagonals.

By definition of the rectangle, the diagonals are congruent or equal.

HJ=IK

x=2x-7

-x+x=2x-x-7

0=x-7

0+7=x-7+7

7=x and 2x-7=2 (7)-7=14-7=7

For the two diagonals, the value of x is 7.

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tenesa bought a 50 pound bag of flour for her bakery. she used 13.65 pounds of flour. how many pounds of flour are left in the bag?

Answers

answer: 36.35

work:
50 - 13.65 = 36.35

50 - 13.65 = 36.35

36 1/3 pounds of flour are left.

Plz answer ASAPPP tyyy

Answers

To find the distance, subtract:

890 - 870
20

Hope this helped!

Given the system of equations, what is the solution?
x + 2y = 7
x - 2y = -1

(A.) {(-8, -12)}
(B.) {(3, 2)}
(C.) {(-4, 6)}

Answers

We can do the elimination method to find the solution for this problem. The elimination method involves adding the two equations together to get rid of a like term.

x + 2y = 7
+ x - 2y = -1
—————————
2x = 6

Now that we eliminated 2y because they cancel out, we are left with 2x = 6. Divide both sides by 2 in order to get x.

The answer is: x = 3.

Now that we know the numerical value of x, all we have to do is plug x into either system of equation in order to find the numerical value of y.

x + 2y = 7

3 + 2y = 7

2y = 4

y = 2

The solution to the problem is (3, 2).

Final answer:

The solution to the system of equations x + 2y = 7 and x - 2y = -1 is found by eliminating y, yielding x=3 and y=2, which is option B, (3, 2).

Explanation:

The solution to the system of equations x + 2y = 7 and x - 2y = -1 can be found by adding or subtracting the two equations to eliminate one of the variables. By adding the two equations, we eliminate y and get 2x = 6, which results in x = 3. Substituting x = 3 back into either of the original equations yields y = 2. Therefore, the solution to the system is (3, 2), which corresponds to option B.

Multiply. (−4−7i)(3−5i)

Answers

Answer: -47-i
Explanation: Use FOIL
-4*3-4(-5i)-7i*3-7i(-5i)
Simplify and combine like terms
=-47-i

We cannot multiply this, we need to have the amount i equals. Tho, we can simplify this problem.
Simplifying the problem would equal -47 - i

I hope this helps! :>

A parabola has vertex (2, 3) and contains the point (0, 0). find an equation that represents this parabola.

Answers

First write it in vertex form :-

y= a(x - 2)^2 + 3 where a is some constant.

We can find the value of a by substituting the point (0.0) into the equation:-

0 = a((-2)^2 + 3

4a = -3

a = -3/4

so our equation becomes y = (-3/4)(x - 2)^2 + 3

The required equation is y = (-3/4)(x - 2)² + 3 that represents given parabola.

What is Parabola?

A parabola is a U-shaped curve this is drawn for a quadratic function,

f(x) = ax² + b x + c.

The parabola equation into the vertex form:

(y-k) = a(x-h)²

Where (h,k) are the x and y-coordinates of the vertex.

The parabola has vertex (2, 3) which is given in the question

Here h = 2,and k = 3

Substitute the values of h = 2 and k = 3 in the above equation

y - 3 = a(x - 2)²

y = a(x - 2)² + 3

If the parabola contains the point (0, 0)

Substitute the point (0, 0) in the above equation

0 = a((-2)² + 3

4a = -3

a = -3/4

Thus, the equation becomes y = (-3/4)(x - 2)² + 3

Hence, the required equation is y = (-3/4)(x - 2)² + 3 that represents given parabola.

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Morgan needs gas for her jeep, which gets 26 miles per gallon for gas mileage. When she stops at the gas station, she already has 10 gallons of gas in her tank. She buys more gas for $1.60 per gallon. If Morgan spends $21 on gas, what is the total distance she could travel? Round, if necessary, to the nearest tenth.

Answers

she can travel 598 miles

Answer:

The answer 601.3 miles.

Step-by-step explanation:

Let f ( x ) = 2 x − 1 , g ( x ) = 3 x , and h ( x ) = x ^2 + 1 , what is g (h ( 24 ) ) ?

Answers

h(24)= (24)^2+1
576+1= 577

g(577)= 577x3= 1731

A dime has the same value as 10 pennies.Marley bought 290 pennies to the bank.How many dimes did Marley get

Answers

Marley got 29 dimes. 29x10=290

Pauley graphs the change in temperature of a glass of hot tea over time. He sees that the function appears to decrease quickly at first, then decrease more slowly as time passes. Which best describes this function? It is linear because the graph decreases over time. It is linear because there is both an independent and a dependent variable. It is nonlinear because linear functions are increasing functions. It is nonlinear because linear functions increase or decrease at the same rate.

Answers

Answer:

It is nonlinear because linear functions increase or decrease at the same rate.

Step-by-step explanation:

A linear function is a function with a constant rate of change. This means it increases or decreases at the same rate.

Since this function decreases quickly and then more slowly, it does not have a constant rate of change; it is not linear.

Answer:

Step-by-step explanation:

edge 23

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