What is the rate of change of the volume of the cylinder at that instance (in cubic kilometers per second)?
Answers
Answer:
hello your question is incomplete attached below is the complete question
answer : -2400 π
Step-by-step explanation:
dr/dt = -12 km/s
h = 2.5 km
r = 40 km at some instant
hence the rate of change of Volume of cylinder at that instance
= dv / dt = [tex]d(\pi r^h ) / dt[/tex]
= [tex]\pi h\frac{d(r^2)}{dt}[/tex] = [tex]-\pi h *2r *dr/dt[/tex]
hence ; dv / dt = -2400 π
Related Questions
z/2 = 6 Solve the equation.
Answers
Answer:
12
Step-by-step explanation:
Answer:
z=12
Step-by-step explanation:
Multiply both sides by 2
Shawn earns $10 per hour for the first 32 hours he works in a week. For any additional
hours after that, he earns $15 per hour for that week. Which solution best represents the
number of hours beyond the first 40 hours, h, Shawn worked this week if he earned more
than $395?
HELP ITS DO TODAYYY
Answers
Answer:
im sorry im not sure but i think 9
Step-by-step explanation:
Which expression has a value of 1 when x = 2.
A .2x + 3
B.2x - 3
C.3x +2
D.3x - 2
Answers
Answer:
B.
Step-by-step explanation:
hope it helps
Which proportion models the following problem:
If you can get 3 oz of candy for $1.65, how much would it cost for 5 oz of candy?
3
1.65
=
5
x
1.65
3
=
x
5
5
1.65
=
x
3
1.65
5
=
3
x
x
3
=
1.65
5
3
x
=
5
1.65
1.65
3
=
5
x
3
1.65
=
x
5
Answers
Answer:
$1.65
3
=
5
x
3
$1.65
Step-by-step explanation:
you already have how much it would be if you brought 3oz . Now , all you have to do was put 5oz in that quotient.
Acircular ring has across -section as shown .If the outer radias 20 mm and the inner radius 16 mm .Calculate the cross - section area of the ring .
Answers
Answer:
452.45mmm^2
Step-by-step explanation:
Step one:
Given data
outer radius R= 20mm
inner radius r= 16mm
let us find the area of the outer circle
Area= πR^2
Area= 3.142*20^2
Area= 3.142*400
Area= 1256.8 mm^2
let us find the area of the inner circle
Area= πr^2
Area= 3.142*16^2
Area= 3.142*256
Area= 804.35 mm^2
Hence the area of the section is
Area of outer- Area of inner
=1256.8-804.35
=452.45mmm^2
0.5(-10 + k) I did help asp
Answers
use distributive property
0.5 x -10 = -5
0.5 x k = 0.5k
0.5(-10 + k) = 0.5k -5
Please help with this, just simplify and answer then please
Answers
Answer:
Step-by-step explanation:
[tex]a^{m}*a^{n}=a^{m+n}\\\\[/tex]
[tex]a) 3x^{2}y^{4}*2x^{6}y=3*2*x^{2+6}*y^{4+1}\\\\=6x^{8}y^{5}[/tex]
[tex]b) xz^{3} * 4x^{4}z^{5}=4*x^{1+4}*z^{3+5}\\\\= 4x^{5}z^{8}[/tex]
c)
[tex]4a^{3}b^{2}* 3a^{6}b^{5}=4*3*a^{3+6}*b^{2+5}\\\\=12a^{9}b^{7}[/tex]
[tex]d) 6s^{5}t*s^{4}t^{2}=6*s^{5+4}*t^{1+2}\\\\=6s^{9}t^{3}\\[/tex]
Answer:
A: 6x^8y^5
B: 4x^4z^8
C:12a^9b^7
D:6s^9t^3
Step-by-step explanation:
When you multpily exponents with the same base you just add them
You still multiply the real numbers like you normally would though
so we have
3x²y^4*2x^6y
To do this you multiply 3*2=6
add the exponents on x^2 and x^6=x^8
and add the exponents on y (which is equal to y^1) and y^4=y^5
put these together and get 6x^8y^5
B: I won't explain it twice because it's the same process
I get 4x^5z^8
C: 12a^9b^7
D: 6s^9t^3
I NEED HELP!!!!!
Answer choices
The probability that the next marble Licia chooses will be black is 5/8
The next marble Lucia chooses will be black
The probability that the next marble Lucia chooses will be white is 1/3
The next marble Lucia chooses will be white
Answers
Answer:
The probability that the next marble Licia chooses will be black is 5/8
Step-by-step explanation:
answer choice A
Sally and her friends share 3 chocolate bars. They each get 0.75 of a chocolate bar. How many friends did Sally share her chocolate bar with?
Answers
3 bars / 0.75 = 4 pieces.
Sally got 1 piece so she had 4-1 = 3 friends.
Help explain plz would help
Answers
Step-by-step explanation:
[tex] \frac{3( {s}^{2} )^{4} \times {s}^{ - 5} } {27 {s}^{3} } [/tex]
[tex] \frac{3 {s}^{8} \times {s}^{ - 5} }{27 {s}^{3} } [/tex]
[tex] \frac{3 {s}^{3} }{27 {s}^{3} } [/tex]
[tex] \frac{1}{9} [/tex]
Suppose that LMN is isosceles with base LN suppose that M
Answers
Given:
In an isosceles triangle LMN, LM=MN.
[tex]m\angle M=(3x+17)^\circ,m\angle L=(2x+36)^\circ[/tex]
To find:
The measure of the angles L, M and N.
Solution:
In triangle LMN,
[tex]LM=MN[/tex] (Given)
[tex]m\angle N=m\angle L=(2x+36)^\circ[/tex] (Base angles of an isosceles triangle are equal)
Now,
[tex]m\angle L+m\angle M+m\angle N=180^\circ[/tex]
[tex](2x+36)^\circ+(3x+17)^\circ+(2x+36)^\circ=180^\circ[/tex]
[tex](7x+89)^\circ=180^\circ[/tex]
[tex](7x+89)=180[/tex]
On further simplification, we get
[tex]7x=180-89[/tex]
[tex]7x=91[/tex]
[tex]x=\dfrac{91}{7}[/tex]
[tex]x=13[/tex]
The value of x is 13. Using this value, we get
[tex]m\angle L=(2(13)+36)^\circ[/tex]
[tex]m\angle L=(26+36)^\circ[/tex]
[tex]m\angle L=62^\circ[/tex]
Similarly,
[tex]m\angle M=(3(13)+17)^\circ[/tex]
[tex]m\angle M=(39+17)^\circ[/tex]
[tex]m\angle M=56^\circ[/tex]
And,
[tex]m\angle N=m\angle L[/tex]
[tex]m\angle N=62^\circ[/tex]
Therefore, the measure of angles are [tex]m\angle L=62^\circ,m\angle M=56^\circ,m\angle N=62^\circ[/tex].
You have to find the common difference, the term named in the problem, and the explicit formula.
Answers
Question 1
Given the sequence
31, 61, 91, 121,...
An arithmetic sequence has a constant difference 'd' and is defined by
[tex]a_n=a_1+\left(n-1\right)d[/tex]
computing the differences of all the adjacent terms
61 - 31 = 30, 91 - 61 = 30, 121 - 91 = 30
The difference between all the adjacent terms is the same and equal to
d = 30
As the first term of the sequence is:
a₁ = 31
now substituting a₁ = 31 and d = 30 in the nth term of the sequence
[tex]a_n=a_1+\left(n-1\right)d[/tex]
[tex]a_n=30\left(n-1\right)+31[/tex]
[tex]a_n=30n+1[/tex]
Now, putting n = 36 to determine the 36th term
[tex]a_n=30n+1[/tex]
[tex]a_{36}=30\left(36\right)+1[/tex]
[tex]a_{36}=1080+1[/tex]
[tex]a_{36}=1081[/tex]
Thus, the 36th term is:
[tex]a_{36}=1081[/tex]
Question 2
Given the sequence
-34, -44, -54, -64, ...
An arithmetic sequence has a constant difference 'd' and is defined by
[tex]a_n=a_1+\left(n-1\right)d[/tex]
computing the differences of all the adjacent terms
[tex]-44-\left(-34\right)=-10,\:\quad \:-54-\left(-44\right)=-10,\:\quad \:-64-\left(-54\right)=-10[/tex]
The difference between all the adjacent terms is the same and equal to
[tex]d=-10[/tex]
As the first term of the sequence is:
a₁ = -34
now substituting a₁ = -34 and d = -10 in the nth term of the sequence
[tex]a_n=a_1+\left(n-1\right)d[/tex]
[tex]a_n=-10\left(n-1\right)-34[/tex]
[tex]a_n=-10n-24[/tex]
Now, putting n = 26 to determine the 36th term
[tex]a_n=-10n-24[/tex]
[tex]a_{26}=-10\left(26\right)-24[/tex]
[tex]a_{26}=-260-24[/tex]
[tex]a_{26}=-284[/tex]
Thus, the 26th term is:
[tex]a_{26}=-284[/tex]
Find the slope of the line give these two points: (0,5) and (-7, -8) *
Answers
Answer:
m=13/7
Step-by-step explanation:
the equation for slope (m) is (y2-y1)/(x2-x1)
the given points are (0,5) and (-7,-8)
we can label them:
x1=0
y1=5
x2=-7
y2=-8
now substitute into the equation
m=(-8-5)/(-7-0)
m=-13/-7
m=13/7
the slope is 13/7
hope this helps!
The expression 5(7+2)=5(7)+5(2) is an example of
Answers
Answer:45
Step-by-step explanation:5(7)+5(2)=35+10=45.This is an example of expansion or distributive expression
Answer: 45 = 45
god bless have a nice day love u
Step-by-step explanation:
5(7+2)= 45
5(7)+5(2)= 45
so its 45
but i put 45 = 45 same thing i think
Given the graph below, which of the following best explains the range of the equation?
Question 2 options:
y 0, because the function comes close to zero but never touches it and goes infinitely in the positive direction.
y=0, because the function touches zero and goes infinitely in the positive direction.
Answers
Answer:
y 0, because the function comes close to zero but never touches it and goes infinitely in the positive direction.
A pet store decides on no longer selling Smelly Cat litter that costs s dollars per bag. In order to quickly sell the rest of its supply, it marks down the bags by 59%.
Answers
Answer:
Expanded Expression: 1s- 0.59s
Simplified Expression : 0.41 s
Discounted Price= $ 2.46
Step-by-step explanation:
Directions: Write two markup or markdown expressions for each problem below. Then substitute the given value for the variable and evaluate the expression.
The Discounted Price is found out after deducting the discount from the original price.
Let 100 be the sale price then the discount is 59 and the discounted price would be 100- 59= $41
Sale Price = $ s
Discount = 59% of $ s
Discounted Price = s- (100-59)/100*( $s) = 1s- 0.59s = 0.41 s
Expanded Expression Simplified Expression
1s- 0.59s 0.41 s
Find the sale price of the Smelly Cat litter, when the regular price was $6 per bag.
Sale Price = $ 6
Discount = 59% of $ 6
Discount= (59/100) $6= $ 3.54
Discounted Price= Sale Price - Discount= $6 - $ 3.54= $ 2.46
Jojo spends t minutes practicing the guitar. He spends 20 minutes less than twice that amount of time doing homework. Which expression shows the number of minutes Dion spends doing homework?
Answers
Answer: 2t - 20
Step-by-step explanation:
Jojo spends t minutes doing homework.
He then spends 20 minutes less than twice that amount of time doing homework.
For homework therefore, let us breakdown the time spent:
Spends twice the amount of time = 2tSpends 20 minutes less than twice = 2t - 20When doing homework, Jojo therefore spends:
= 2t - 20
Find the coordinates of the midpoint of a line segment with the given endpoints (14,-8), (12,-1)
Answers
Answer:
The coordinates of the midpoint of a line segment with the given endpoints (14,-8), (12,-1) are [tex]\mathbf{(13,\frac{-9}{2})}[/tex]
Step-by-step explanation:
We need to find the coordinates of the midpoint of a line segment with the given endpoints (14,-8), (12,-1)
The midpoint of line segment can be found using formula:
[tex]Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
We have [tex]x_1=14, y_1=-8, x_2=12, y_2=-1[/tex]
Putting values and finding midpoint
[tex]Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\\Midpoint=(\frac{14+12}{2},\frac{-8-1}{2})\\Midpoint=(\frac{26}{2},\frac{-9}{2})\\Midpoint=(13,\frac{-9}{2})[/tex]
So, the coordinates of the midpoint of a line segment with the given endpoints (14,-8), (12,-1) are [tex]\mathbf{(13,\frac{-9}{2})}[/tex]
Please help me with this homework please from 1 to 4 and the check
Answers
Answer:
1. x=1
2. y=5
3. m=-6
4. z=3
Step-by-step explanation:
Answer:
I don't know because i am doing math along the way to solve answer.
Step-by-step explanation:
4x+8=2x+10
4x-2x+8=10
2x=10-8
2x=2
x=1 ANSWER FOR 1
2.)
Same thing as 1.
9y-3=6y+12
3y=15
Divide both by 3 and you get
y=5 Answer For 2
________________________
3.)
8m+4=4m-20
4m=-24
m=-6 Answer For 3
_________________________
4.)
11z-14=5z+4
6z=18
z=3 Answer for 4
Which is better deal and why:)? Help ASAP
Answers
Answer:
The second one is the better deal
Step-by-step explanation:
The first one each pencil is 25 cents
The second one each pencil is 20 cents!
hope this helps!
Answer:
The 20-pack because four 5-packs of pencils would be 5 dollars and the same amount of pencils for the 20-pack is only 4 dollars. So the 20-pack is the better deal.
Step-by-step explanation:
Simplify: (x + 7)(x-4)
A. 2r +3
B. 12-28
C. x2-3x - 28
D. x2 + 3x - 28
Answers
Answer:
(x + 7)(x - 4) = x2 - 4x + 7x - 28 = x2 + 3x - 28
After distributing, which equation is equivalent to -4(3x + 2) = 10a.-12x -8 = 10b.-12x + 8 = 10c.-12x -6 = 10d.-12x + 6 = 1
Answers
Answer:
Option A: -12x-8=10 is the correct answer.
Step-by-step explanation:
Given equation is:
-4 (3x+2) = 10
We will distribute the equation by multiplying the terms inside the brackets with -4.
Therefore,
-4*3x + 2*-4 = 10
-12x +(-8) = 10
-12x - 8 = 10
The equation -4 (3x+2) = 10 will become -12x-8=10 after distributing.
Hence,
Option A: -12x-8=10 is the correct answer.
Matt is playing a game. He gains 7 points, loses 10 points, and then loses 8 points. What is his final score? *
Answers
Answer:
-11
Step-by-step explanation:
7-10-8 = -11
Answer:
-11
Step-by-step explanation:
7 - 10 = - 3
-3 + 8 = -11
hope this helps
There are 4 quarters in 1 dollar. The total number of dollars is a function of the number of quarters. Does this situation represent a linear or nonlinear function?
Answers
WILL GIVE BRAINLIEST
Answers
Answer:
c
Step-by-step explanation:
what is the distance between (-6,-2) and (4,-5)
Answers
Answer:
7x4
Step-by-step explanation: =43
Watch help video
Claire was given a gift card for a coffee shop. Each morning, Claire uses the card to
buy one cup of coffee. The amount money remaining on the card after buying x cups
of coffee is given by the equation A= 45 – 3x. What is the x-intercept of the
equation and what is its interpretation in the context of the problem?
The x-intercept of the function is
which represents
Answers
Answer:
15 cups of coffee
which represents the total number of cups of coffee purchased from the card
Step-by-step explanation:
A = 45 - 3x
45 - 3x = A
45 - 3x = 0
( I kinda got lost here, but if it is a real problem for you like it was for me, I used Cymath, it was really helpful. )
I hope this helps.
An airplane flies at an altitude of 14,690 feet while a submarine is submerged at a depth of 521 feet below the surface of the ocean. What is the difference between these two elevations?
Answers
Answer:
15,211 feet
Step-by-step explanation:
According to the question, given data are as follows:
Airplane altitude = 14,690 feet above
Submarine depth = 521 feet below
So, let the difference between these two elevation be d,
So, we can calculate difference by using following formula:
Difference = Airplane altitude + Submarine depth
By putting the value, we get
Difference = 14,690 + 521
= 15,211 feet
James wants to buy a new cell phone package. There are three packages available, each offering a different deal.
Package 1 $200 for 5 months
Package 2 $128 for 4 months
Package 3 $120 for 4 months
Which package offers the best deal?
A.
Package 1
B.
Both Package 1 and Package 2
C.
Package 3
D.
Package 2
Answers
Answer:
it's answer is package 1 $ 200 for 5 months
hope it helps you
Answer:
I think no A
if wrong correct me plsssssss
I will always help you understanding your assingments
enjoy your day
#Captainpower:)
Determine the solution for the equation.
45 - k = 27, k = 15, 16, 17
Answers
Answer:
15
Step-by-step explanation:
45 - 27 = 15 B)
