The rate of change of the radius is 1.32cm²/s
The formula for calculating the volume of a sphere is expressed as:
[tex]v = \frac{4}{3} \pi r^3[/tex]The rate of change of the volume is given as:
[tex]\frac{dv}{dt} = \frac{dv}{dr} \cdot \frac{dr}{dt} \\\frac{dv}{dt} = =4 \pi r^2 \cdot \frac{dr}{dt} \\[/tex]Given the following paramters;
dv/dt = 23cm³/s
Volume = 7cm³
Get the radius of the sphere:
7 = 4/3 πr³\
21 = 4πr³
r³ = 21/4π
r = 1.18 cm
Get the rate of change of the radius to have:
[tex]23 = 4(3.14)(1.18)^2 \frac{dr}{dt} \\23 = 17.48 \frac{dr}{dt} \\\frac{dr}{dt}=1.32cm^2/s[/tex]
Hence the rate of change of the radius is 1.32cm²/s
Learn more on volume of a sphere here: https://brainly.com/question/22807400
What is f(-3) if f(x)= 1/3x
3
1
-1
-3
Answer:
-1
Step-by-step explanation:
1/3(-3) cancels the common factor of 3, which leaves the answer as -1.
Please help I really need help
(40 points)
Match each theorem with its description.
1.
If two angles form a pair of vertical angles, then they are congruent.
2.
The sum of the measures of the interior angles of a triangle is 180°.
3.
If two sides of a triangle are congruent, then the angles opposite those sides are congruent
4.
The midsegment of a triangle is parallel to the third side and its length is one-half the length of the third side.
5.
If two parallel lines are intersected by a transversal, then corresponding angles are congruent.
6.
If two parallel lines are intersected by a transversal, then alternate interior angles are congruent.
7.
If two parallel lines are intersected by a transversal, then the alternate exterior angles are congruent
8.
If two parallel lines are intersected by a transversal, then the same-side interior angles are supplementary.
Match
Triangle Sum Theorem
Alternate Exterior Angles Theorem
Alternate Interior Angles Theorem
Same-Side Interior Angles Theorem
Corresponding Angles Postulate
Isosceles Triangle Theorem
Vertical Angles Theorem
Triangle Midsegment Theorem
Answer: Did you get it or do you still need help (which ones do you need help with)
Step-by-step explanation:
Write a story that could represent this math problem. 70 points
Answer:
2/3+2/3+2/3+2/3+2/3
Step-by-step explanation:
Place the steps to solve 2(x + 3) - 5x > 18 in order.
Answer:
-4
Step-by-step explanation:
That's the answer above
9/5 - (-2 7/10) and write it as a fraction and simplest form
Answer:
probably 4.5 if im not mistaking
Answer:
4 1/2
Step-by-step explanation:
(-2 7/10) = (-2.7)
9/5 = 1.8
1.8 - (-2.7)
= 1.8 + 2.7
= 4.5 or 4 1/2
I need to know this give me answer
Answer:the answer is b 10/21
Step-by-step explanation:
Answer:
B) 10/21
Step-by-step explanation:
Keep, change, flip
keep 2/7, change to multiply, flip to 5/3
2/7 x 5/3 = 10/21
Hope this helps! Pls give brainliest!
Which translation rule describes the translation that is 2 units to the left and 8 units down?
(x, y) + (x + 2, y - 8)
(x,y) → (x - 2, y - 8)
(x,y) → (x - 2, y + 8)
(x,y) → (x + 2, y + 8)
Answer: (x,y) → (x - 2, y - 8)
Step-by-step explanation:
Two units to the left would mean decreasing value on the x-axis, making it -2.
Eight units down would, again, mean decreasing value on the y-axis, making it -8.
Therefore, (x,y) → (x - 2, y - 8) is the correct translation rule.
I hope this helps :)
I get it, Geometry can be pretty difficult sometimes... I'm in it right now lol
If a line has a slope of 2 and contains the point (-2, 1), what is its equation in
point-slope form?
O A. y-1 = 2(x-2)
O B. y-1 = 2(x+ 2)
O C. y-2 = -2(x-1)
O D. y + 2 = -2(x - 1)
SUBMIT
Answer: The point-slope form is: y - 1 = 2(x + 2). Therefore, the answer is B.
Which investment strategy would work best if you wanted to grow your investment slowly without losing much money?
A. Low risk, high return
B. Low risk, low return
C. High risk, low return
D. High risk, high return
The best answer to your question is gonna be low risk low return.
Find the greatest common factor of the
following monomials:
18xy^ 30xy3
NO LINKS
Answer:
Step-by-step explanation:
6xy^3
Hello! Can ya'll help? If u do you'll get the crown and be put first place on the nice list
Write a word problem that can be represented by the expression 4 3/8 divided by 8
Answer:
Word Problem: The length of a shoelace is 4 and 3/8 meters. How many shoelaces can be made from an 8-meter lace?
Step-by-step explanation:
Factorise 9a³ - 27a² - 100a + 300, if it is given that (3a + 10) is a factor of it.
Answer:
(3a + 10)(3a - 10(a - 3).
Step-by-step explanation:
Do a long division:
3a + 10 ) 9a^3 - 27a^2 - 100a + 300 ( 3a^2 - 19a + 30 <----- Quotient
9a^3 + 30a^2
-57a^2 - 100a
-57a^2 - 190a
90a + 300
90a + 300
..................
Factorise the Quotient:
3a^2 - 19a + 30
= 3a^2 - 9a - 10a + 30
= 3a(a - 3) - 10(a - 3)
= (3a - 10)(a - 3)
Find the area of a garden with a length of 3 1/2 yards and a width of 2 2/3 yards
Answer:
2.33 yards
Step-by-step explanation:
3 1/2-3.5
2/3-0.66
0.66 x 3.5 = n
In the first year of production
a play sells 1572 tickets, in its
second year it sells 1753
tickets, in its third year it sells
152 less than in its second
year. How many tickets are
sold in 3 years?
Please add the working out too
HELPP ME PLEASE I FORGOT HOW TO DO THIS !
Answer:
10.5 in
Step-by-step explanation:
2 triangles put together is a rectangle so you have to multiply the area by 2
31.5×2= 63
divide by 6, your width
10.5 in
What is 7x + 15 = 9x + 15 - 2x + 1 and how many solutions are there
Answer:
no solutions
Step-by-step explanation:
7x + 15 = 9x + 15 - 2x + 1
Combine like terms
7x+15 = 7x+16
Subtract 7x from each side
7x+15-7x = 7x+16-7x
15 =16
This is not a true statement so there are no solutions
An advantage of using graphics is the ability to
A) avoid data.
B) limit communication of information.
C) present information in a brief format.
D) There are no advantages to graphics.
Answer:
C
Step-by-step explanation:
Answer: C
Step-by-step explanation:
An advantage of using graphics is to present information briefly.
What is 9x8x7x4 ANswer in 1 second.(IKNOW THE ANSWER)
Answer:
2016
Step-by-step explanation:
find the missing value y=-2+4
Answer:
y = 2
Step-by-step explanation:
My question that I need help on
Answer:
Step-by-step explanation:
Solve this system. Write your answer as an ordered pair. -5x + y = -3 3x - 8y = 24
Hello there, this is how we will solve your problem.\
here is the equation you gave us.
[tex]{\huge{\boxed{\mathbb{EQUATION}}}[/tex]
[tex]\begin{bmatrix}-5x+y=-3\\ 3x-8y=24\end{bmatrix}[/tex]
we can isolate [tex]x[/tex] and say [tex]x=\frac{-3-y}{5}[/tex]
Now here is our equation, [tex]\begin{bmatrix}3\left(-\frac{-3-y}{5}\right)-8y=24\end{bmatrix}[/tex] After we simplify it we get [tex]\begin{bmatrix}\frac{9-37y}{5}=24\end{bmatrix}[/tex], solve this and we get that [tex]y=-3[/tex], Before we said [tex]x[/tex] equals [tex]-\frac{-3-y}{5}[/tex], So now we can plug in our value that [tex]y[/tex] equaled, and now we have [tex]\frac{-3-(-3)}{5}[/tex]. Two negatives equal a positive and we get that [tex]x=0[/tex].
_________________
[tex]y=-3[/tex] [tex]x=0[/tex]SOMEBODY HELP ME
NO LNKS PLZ
Answer: 63
Step-by-step explanation:
[tex]a_4=-1+8^8\\a_4=63[/tex]
What is 2+2+?+10+?-2+9=?
[tex]2+2+x+10+x-2+9=x\\2+2+x+10+x-2+9 -x=0\\(2+2+10-2+9)+(x+x-x)=0\\21+x=0\\x=-21[/tex]
ANSWER: ? = -21
P/s: ? = x < let ? is x >
ok done. Thank to me :>
Answer:
The answer can be 25 or higher.
Step-by-step explanation:
This is because I added: 10+9=19+2+2+2=25. Then we have 2 ? marks. There are + signs next to them so the answer is 25 or higher.
Find the first three term if the general nth term is T = 2-n
Tn = 2n - 6
to find first term ,n= 1
substitute n for 1 in the equation
T1 = 2(1) - 6
T1 = 2 - 6 =-4
to find second term , n =2
substitute n for 2 in the equation
T2 = 2(2) - 6
T2 = 4 - 6 = -2
to find third term, n = 3
substitute n for 3 in the equation
T3 = 2(3) - 6
T3 = 6–6 = 0
FIRST TERM = -4
SECOND TERM = -2
THIRD TERM = 0
Determine what type of model best fits the given situation: A 4% raise in salary each year. A. none of these B. exponential C. linear D. quadratic
Answer: C. linear
Step-by-step explanation:
Since the raise is going to be a constant amount, a 4% raise, the model will be linear.
Correct me if I am incorrect.
HELP!!!
n – 3 = ‐1
Please do not just type in the answer please explain how you got your answer! Whoever explains (CORRECTLY) first gets brainliest!
Answer:
n = 2
Step 1: Add 3 to both sides to isolate x.
n – 3 = ‐1
Step 2: Solve
=> n = -1 + 3
Final Answer: Answer to the question.
=> n = 2
Therefore, n = 2 is our answer.
Hoped this helped.
Richard's living room is 8 yards wide and 8 yards long. He wants to install pink carpet that costs $1.00 per square yard. How much will it cost to buy enough carpet for the living room?
Answer:
$64.00
Step-by-step explanation:
8x8=64 (64 yards)
64x1=64
It would cost 64 dollars to buy enough carpet for the living room.
Please answer number 1 and 2.
I have to do 2 pages of homework I need this done I have school tomorrow..
Have no idea how to do this. Please help I beg you.
1, a.) The two specific conjectures are in the first image.
1, b.) The two general conjectures are in the second image.
2, a.) Two specific conjectures for this pattern are:
The common difference between two consecutive terms is 3.And the given difference is A.P.2, b.) From our observation two general conjecture is that the given sequence is an arithmetic sequence and the common difference is 3.
For finding its nth term we can use the formula: a(n) = a + (n-1) x d.
2, c.) A formula for the given pattern is 5 + (n-1)3, where n is the number of the term.
Explain how to calculate and find 32% percent of 150.
Correct answer gets brainiest
Answer:
48
Step-by-step explanation:
You can easily find the percent of a number by multiplying the percent in decimal format (0.32) by the number you want to find the percent of.
150 * 0.32 = 48
Step-by-step explanation:
when finding the percentage of a number, multiply the number by the percentage's decimal form.
here's an example: 20% of 300
20% is 20/100 which is 0.20
now we just multiply
0.20×300=60
now for 32% of 150
32%--->32/100---->0.32
0.32×150=48
there you go! hope that helped
what’s 75 percent of 120
Answer:
90
Step-by-step explanation:
q
