A cube has an edge of 3 feet. The edge is increasing at the rate of 4 feet per minute. Express the volumeof the cube as a function of m, the number of minutes elapsed.
Hint: Remember that the volume of a cube is the cube (third power) of the length of a side.
Answers
The volume of the cube can be expressed as a function of m, the number of minutes elapsed as V(m) = (3 + 4m)³ feet³.
What do we mean by volume?
The volume of an object is the total space occupied by the object in the three-dimensional space.
How do we solve the given question?
In the question, we are asked to express the volume of a cube as a function of m, the number of minutes elapsed. We are given that the initial length of the edge of the cube was 3 feet, and it increases at a rate of 4 feet per minute.
∴ We can say that the length of the edge after m minutes = 3 + 4m
As 4 feet is the increase per minute and m minutes have elapsed.
We know, that the volume of a cube is the cube of the length of the edge.
∴ The volume = (3 + 4m)³.
Hence, the function of the volume of the cube in m can be written as,
V(m) = (3 + 4m)³ feet³.
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Answer:
so it increases by 4 per minute
the volume of a cube is v=side^3
so the side length be 5+4m where m is the number of minutes
therefor the volume can be expressed as V(m)=(5+4m)³
Step-by-step explanation:
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HELP MEEEEEEEEEEEEEE PLEASE
In a survey of 269 college students, it is found that69 like brussels sprouts,90 like broccoli,59 like cauliflower,28 like both Brussels sprouts and broccoli,20 like both Brussels sprouts and cauliflower,24 like both broccoli and cauliflower, and10 of the students like all three vegetables.a) How many of the 269 college students do not like any of these three vegetables?b) How many like broccoli only?c) How many like broccoli AND cauliflower but not Brussels sprouts?d) How many like neither Brussels sprouts nor cauliflower?
What is the answer too 4(2x+1)
Enter a number.
Answers
Answer:
8.8
Step-by-step explanation:
speed=distance/time
speed- ?
distance- 200m
time- 22.75s
?=200/22.75
?= 8.791...
round it so that it becomes 8.8
Percent Error
Item
Books
Approximate
value
75
Exact value
95
Ratio
Error
-20
Absolute error
20
Percent error
(100)
.
元
(100)
Answers
Percent error = |actual error - expected error/ expected error| * 100%
(|75-95|)/95 = 0.21
0.21 * 100% = 21% error
57/3
105/3
57
105
Answers
To solve for x, we need to get all our constants on one side of the equal sign and all our variables on the other side of the equal sign.
3x - 24 = 81
3x -24 + 24 = 81 +24
3x = 81 + 24
3x = 105
3x/3 = 105 / 3
x = 105 / 3
Answer:
Step-by-step explanation:
To solve for x, we need to get all our constants on one side of the equal sign and all our variables on the other side of the equal sign.
Therefore, the answer is:
Answers
Answer:
t=175÷p
Step-by-step explanation:
t is equal to 175 divided by p
Answers
Answer:
- See attachment for table values
- y₁ = y₂ for x = 6
Step-by-step explanation:
In each case, put the x-value in the formula and do the arithmetic. If you're allowed, you can save some time and effort by realizing that the solution (x) will have to be an even number.
y₁ is an integer value for all integer values of x. y₂ is an integer value for even values of x only. y₁ and y₂ will both be integers (and possibly equal) only when x is even.
For example, for x = 6, we have
... y₁ = 3·6 - 8 = 18 -8 = 10
... y₂ = 0.5·6 +7 = 3 +7 = 10
That is, for x = 6, both columns of the table have the same number (10). That is, y₁ = y₂ for x = 6. The solution to the equation
... y₁ = y₂
is
... x = 6.
Answers
y=3 , rather than the x− x− axis.) Your integrand looks fine and reduces to
(9−18sinx+9sin2x) − (9−18cosx+9cos2x) (9−18sinx+9sin2x) − (9−18cosx+9cos2x)= 18 (cosx−sinx) + 9 (sin2x−cos2x) = 18 (cosx−sinx) − 9 cos2x .= 18 (cosx−sinx) + 9 (sin2x−cos2x) = 18 (cosx−sinx) − 9 cos2x .The evaluation of the volume is then
π [ 18 (sinx+cosx) − 92sin2x ]π/40π [ 18 (sinx+cosx) − 92sin2x ]0π/4= π ( [ 18 ( 2–√2+2–√2) − 92⋅1 ] − [ 18 (0+1) − 92⋅0 ] ) = π ( [ 18 ( 22+22) − 92⋅1 ] − [ 18 (0+1) − 92⋅0 ] ) = π ( 182–√ − 92 − 18 ) = π ( 182–√ − 452 ) or 9π2 ( 42–√ − 5 ) ,