The rate of change of the volume of the cube is 0.4s cm³/s
What is rate of change?Rate of change is the rate at which a quantity increases or decreases with time.
How to find the rate of change of the volume of the cube, in cubic centimeters?Since the side of the cube is increasing at a constant rate of 0.2 centimeters per second. Its volume is given by V = L³ where L = length of side of cube.
Now, to find the rate of change of its volume, we differentiate the equation with respect to time, t.
So, V = L³
Differentiating, we have
dV/dt = dL³/dt
= dL³/dL × dL/dt
= 2L² × dL/dt
Since the rate of increase of the side of the cube is dL/dt = 0.2 cm/s, we have that
dV/dt = 2L² × dL/dt
= 2L² × 0.2 cm/s
= 0.4L² cm³/s
We know that the area of a cube s = L². So, substituting this into the equation, we have
dV/dt = 0.4L² cm³/s
= 0.4s cm³/s
So, the rate of change is 0.4s cm³/s
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Write an equation of the line that passes through the given points.
(-2,8) and (1, -1)
/Answer:
Short Answer Type:
P1 - (-2,8)
P2 - (1,1)
Slope: (1 - 8) / (1 + 2)
=> -7/3
Therefore: 1 = -7/3 + c
=> 10/3 = c
Therefore equation: y = -7x/3 + 10/3
8 squared + B squared = 10 squared
Right triangle Pythagorean theorem
Answer:
6
Step-by-step explanation:
It's 6. The Pythagorean Theorem details how to find the length of a right triangle's hypotenuse.
The equation is a² + b² = c²
C is the length of the hypotenuse. The side lengths you have are a leg as 8 and hypotenuse as 10. By substituting these values into the equation, we get 8² + b² = 10²
Therefore, 64 + b² =100
So b² = 36
By square rooting both sides we finally reach the answer b=6.
Hope I helped!! (p.s. maybe brainliest)
Find the 100th term for the sequence. -9,-4, 1, 6, 11, .......
Answer:
486
Step-by-step explanation:
for the 2nd term, add 5 to -9
for the 3rd, add 5 × 2 to -9
for the 4th, add 5 × 3 to -9
:
for the 100th, add 5 × (100 - 1) to -9
=> 5 × 99 + (-9)
=> 486
3a=a+36 find the value of a
Answer:
a=18
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
Step 1: Write out your equation
3a=a+36
Step 2: Subtract a on both sides
2a=36
Step 3: Divide by 2 on both sides
a=18
Hope I helped
True or false.
A counter-clockwise turn of 270° will land you at the same location as a 90° clockwise turn.
HELPPPP ME NOW PLS LLS
Answer:
Angle one is 107 degrees and angle 2 is 83 degrees
Step-by-step explanation:
I NEED HELP RN PLSSS!!! (check whole picture) i’ll give brainiest if u don’t give a link just pls help immediately!!!)
Answer:
So I would say your answer is..............A
Step-by-step explanation:
For most places, global warming will result in more frequent hot days and fewer cool days, with the greatest warming occurring over land. Longer, more intense heat waves will become more common. Storms, floods, and droughts will generally be more severe as precipitation patterns change
Also, A is correct because lets say you put an ice cube in the sun...okay well if it keeps getting hotter and hotter multiply ice cubes into ice caps. Well same thing will happen. It will melt causeing water from the ice caps. Which will result into more water. Which will cause water to go above sea level!
Hope this helps!!!
Figure AAA maps to figure BBB with a scale factor of 0.750.750, point, 75.
Answer:
7.5
Step-by-step explanation:
x=10*0.75 = 7.5
note that b is smaller than a
This table shows how many male and female students attended two different
movies. What is the probability that a randomly chosen person from this
group is male?
Round your answer to two decimal places.
Action
Drama
Total
Male
105
124
229
Female
99
151
250
Total
204
275
479
Answer:
the correct answer is
229/479 = 0.48
The probability that a randomly chosen person from this group is male is 0.48.
What is the probability that a male is chosen?Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
The probability of choosing a male = number of males / total number of males and females
229/479 = 0.48
To learn more about frequency tables, please check: https://brainly.com/question/26577861
Hmmmmmskksksksksksjsjsjdj
Answer:
Hmmm
Step-by-step explanation:
Please help NO LINKS
LINKS=REPORTED
Answer:
They didn't multiply the whole equation by 2 or -3 and only the first part
Answer:
when the first equation was multiplied by 2, the -22 did not get multiplied by 2
when the second equation was multiplied by -3, the -14 did not get multiplied by -3
the result is that x should be = 2
Step-by-step explanation:
HELP I WILL GIVE BRIANLY
If 1/3 of my money is 80, what is 25% of my money?
Answer:
60 = 25% of ur money
Step-by-step explanation:
80×3=100%of ur money (240)
to get 25% we need to divide 240 by 4 bcs 4= 25%
Please help me name the parts of the circle
Answer:
radius is gf diametor is ce chord is Ab and secant is ge tangent is dc
To amend a country's constitution, 5 6 of the 52 states in that country must approve the amendment. If 44 states approve an amendment, will the constitution be amended
Answer: Yes. It will be amended
Step-by-step explanation:
Since 5/6 of the 52 states in a country must approve the amendment before the country's constitution is amended, then the number of states that must approve it will be:
= 5/6 × 52
= 43.33
= 43 approximately
Since 44 states approve an amendment, the constitution be amended since it's more than 5/6 of the 52 states.
The mulraneys hired a contractor to build an addition to their home. The contractor proposed a rectangular room with a perimeter of 50 feet. The mulraneys asked the contractor to change the perimeter to 60 feet by increasing both he length and the width by the same distance. By how many feet did the mulranys ask the contractor to increase the length of the room?
Distribute and combine like terms: −4(7r + 7)
Answer:
r=1
Step-by-step explanation:
-4(7r+7)
-28r-28
r=1
Given h(x)=4x-4h(x)=4x−4, find h(-3)h(−3).
Answer:1
Step-by-step explanation:
4x-4x+4=4h(x)
4=4h(x)
h(x)=1
h(-3)h(-3)=(1)(1)=1
HI can you guys please help with these
AnswerЯ могу помочь вам, но я не знаю, как мне так жаль, но вы можете найти ответ, если вы умны и в каком вы классе буквально вы, люди, такие тупыеЯ могу помочь вам, но я не знаю, как мне так жаль, но вы можете найти ответ, если вы умны и в каком вы классе буквально вы, люди, такие тупыеЯ могу помочь вам, но я не знаю, как мне так жаль, но вы можете найти ответ, если вы умны и в каком вы классе буквально вы, люди, такие тупые
Step-by-step explanation:
Find the area of the figure. Round your answer to the nearest tenth.
Answer:
18.0
Step-by-step explanation:
When Bruce won a contest, he got a bronze medal with a radius
of 5 centimeters. What is the medal's diameter?
Answer:
10 centimeters
Step-by-step explanation:
diameter = 2r
r = radius
diameter = 2(5cm)
diameter = 10 cm
HELPPPPP PLSSSSSSSSSS PLSSSSSSSS DRFTGYHUYGTFRDCGV PLSSSSSSSSSSSSSSSSSSSSSSSSSSSS PLSSSSSSSSSSSSSSSSSSSSSS FRTGYHUJTRCVBJHGB ASAPP PLSSSSSSSSS NNOWWW FGHUJIKHTFVBNGB.
Answer:
B, C, and D
Step-by-step explanation:
They are both true the ones I said.
The cost of boring a tube well 600 meter deep is as follows 25 paisa for the first metre and an additional 4paisa for every subsequent meter find the cost of boring a 500th meter long
help me find the perimeter please:)
Answer:
79.2 cm
Step-by-step explanation:
Add up all the lengths of all of the sides of the figure:
16.2 + 7.5 + 7.5 + 18 + 18 + 12 = 79.2
Answer:
79.2 m
Step-by-step explanation:
Well since all the units are the same and you have already labeled the missing/ congruent sides. Just add up all the sides and you’d end up with 79.2
I don’t have any of the stuff pls help
Answer:
so 6/10 prefered ebooks pretty much and 1/10 didn't have a preference the other 3/10 liked traditional books you should be able to do the rest after that
Can someone help asap
40 points for this answer thank you
helppppppppppppppppppppp plzzzzzzzzzzz answer
Answer:
Maria randomly selects a number from the list of numbers below.
56, 90, 88, 76, 12
What is the probability that she selects an even number?
Step-by-step explanation:
so fd jwshydd +3 b4--
Answer:
3/2
Step-by-step explanation:
4x+17=23
-17 on both sides
4x=6
divided by 4
x=3/2
HELP!!! Use the properties of exponents to simplify the expression:
(6,3); (1,4)
Slope
Giving brainless answer
Answer:
-1/5. When you do y^2 - y^1/ x^2 - x^1 = It will lead to -1/5
Step-by-step explanation:
HELP FOR 7 AND 8 Pleaseeeee