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
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What is the quotient? StartFraction 3 y 2 Over 3 y EndFraction divided by StartFraction 6 y squared 4 y Over 3 y 2 EndFraction StartFraction 1 Over 2 y EnDfraction StartFraction 3 y 2 Over 6 y squared EndFraction StartFraction 1 Over y EndFraction StartFraction 2 (3 y 2) Over 3 EndFraction.
The quotient of the expression is [tex]\frac{1}{2y}[/tex]
The expression is given as:
[tex]\frac{3y^2}{3y} \div \frac{6y^4}{3y^2}[/tex]
Divide 3y^2 by 3y
[tex]\frac{3y^2}{3y} \div \frac{6y^4}{3y^2} = y \div \frac{6y^4}{3y^2}[/tex]
Rewrite the equation as a product
[tex]\frac{3y^2}{3y} \div \frac{6y^4}{3y^2} = y \times \frac{3y^2}{6y^4}[/tex]
Divide 6 by 3
[tex]\frac{3y^2}{3y} \div \frac{6y^4}{3y^2} = y \times \frac{y^2}{2y^4}[/tex]
Multiply y and y^2
[tex]\frac{3y^2}{3y} \div \frac{6y^4}{3y^2} = \frac{y^3}{2y^4}[/tex]
Divide y^3 by y^4
[tex]\frac{3y^2}{3y} \div \frac{6y^4}{3y^2} = \frac{1}{2y}[/tex]
Hence, the quotient of the expression is [tex]\frac{1}{2y}[/tex]
Read more about quotients at:
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Answer:
its B
Step-by-step explanation:
a number cube is rolled.what is the probability of rolling a number greater than 4
Answer: 2/6
Step-by-step explanation:
There’s only 2 numbers greater than 4 on a die, so two would be the numerator and the denominator would be the number of possibilities you could roll, which is 1-6.
2/6, 1/3, or approx. 33.3%
A number cube will have six sides and two out of six will be greater than four, therefore, there is around a 33.3% chance you will roll a number greater than 4. :)
-3(3 - 10x) please help, distributive property.
Answer:
-9 +30x
Step-by-step explanation:
-3(3) = -9
-3(-10x) = 30x
-9 +30x
Hope that helps
what percent increase is 1/3 to 1/6
Answer:
50% increase
Step-by-step explanation:
half of 6 is 3 thus 50%, and vise versa.
40% of 58 and 34% of 76
pls subscribe to aphmau it'll help her alot
Answer:
See below
Step-by-step explanation:
40% of 58 = 0.40(58) = 23.2
34% of 76 = 0.34(76) = 25.84
Answer:
23.2
25.84
Step-by-step explanation:
To calculate percentage, multiply the number by the percentage's decimal.
for example, 20% of 300
20%-->20/100---->0.20
300×0.20=60
40% of 58--->
40/100--->0.40
58×0.40=23.2
34%--->34/100--->0.34
0.34×76=25.84
The sales tax on a surfboard is $12 what is the percent of sales tax?
Adam eats 2 apples in 5 minutes, at this rate how many apples will Adam eat in a hour?
6
10
24
120
Answer:
24 apples
Step-by-step explanation:
60 divided by 5 is 12 then you multiply 2 which is 24:)
Find the size of unknown angles
Answer:
hope it helps.
plzz give me brainliest
the other two options are…
c. Function A and function B both have two real solutions.
d.The vertex of function A is lower on the graph than the vertex of function B.
GIVING BRAINLIEST IF FAST
Please help in this!
Step-by-step explanation:
Correct option is C)
41−
21+
19−
9
=
41−
21+
19−3
=
41−
21+
16
=
41−
21+4
=
41−
25
=
41−5
=
36
=6
[tex] \sqrt{41 - \sqrt{21 + \sqrt{19 - \sqrt{9} } } } \\ = \sqrt{41 - \sqrt{21 + \sqrt{19 - 3} } } \\ = \sqrt{41 - \sqrt{21 + \sqrt{16} } } \\ = \sqrt{41 - \sqrt{21 + 4 } } \\ = \sqrt{41 - \sqrt{25} } \\ = \sqrt{41 - 5} \\ = \sqrt{36} \\ = 6[/tex]
Answer:
a) 6
Hope you could get an idea from here.
Doubt clarification - use comment section.
please help i will give brainliest
Answer:
because AB//DE
so DÊC=BÂC ( 2 straight lines are parallel and have the same internal angle)
because ACD is the outer angle of the triangle ABC so ACD= ABC+BÂC
because DÊC=BÂC
so ACD= ABC+ DÊC
* 5.) Write the following in standard form.* 5.8709 x 107
58, 709
58,709,000
5,870,900
587,090
Answer:
5.8709 x 10 to the 4th power = 58,709
5.8709 x 10 to the 7th power = 58,709,000
5.8709 x 10 to the 6th power = 5,870,900
5.8709 x 10 to the 5th power = 587,090
Step-by-step explanation:
Hoped that helped:P
This is my last question I need help please
Answer:
.11
Step-by-step explanation:
it is correct
Answer:
A) $.11
Step-by-step explanation:
A dozen = 12
To find unit cost you divide cost of items by # of items
In this case we have 12 eggs that cost 1.35
So unit cost = 1.35 / 12 = .11
What is the value of (225 ÷ 0.25) – 11.875 written to two decimal places.(2d.p.)
888.125 is the answer just use your calculator
Answer:
Step-by-step explanation:
888.13
Find the 63rd term of the arithmetic sequence 17, 26, 35
Answer:
a₆₃ = 575
Step-by-step explanation:
The nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 17 and d = a₂ - a₁ = 26 - 17 = 9 , then
a₆₃ = 17 + (62 × 9) = 17 + 558 = 575
Maria earns $12/hour as a store clerk. This week she worked 49 hours. Estimate her
gross wage for her 2 week pay period, assuming she worked 40 hours last week?
Answer:
a= $1,068 without overtime pay
b= $1,122 with overtime pay
Step-by-step explanation:
[tex]a = (12 \times 49) + (12 \times 40) \\ = 1068[/tex]
[tex]b = (9(12 \times 1.5) + (12 \times 40)) + (12 \times 40)\\ = 1122[/tex]
Please someone help meee! It’s advanced algebra
Answer: I think it would be 80 feet I hole I’m correct.
Step-by-step explanation: So to explain 20 + 50 is 80 and that’s how I got the answer I am not 100% sure but I wanted to help you :-)
Help me pleaseeeeeeeeeeeeeee
The formula to find the volume of a cube is:
volume= a^3
OR
volume= a*a*a
(a stands for the side length)
The way you would write it is:
V=2.8^3
Then you solve.
You would get 21.952
But since you need to round to the tenth place it would be:
22
Hope this helps! :)
Write the inequality represented by the graph below. (0,-2) (0,1)
Combine the like terms to create an equivalent expression.
\large{9y+y}9y+y
Answer:
20y
Step-by-step explanation:
Which is an example of nonverbal communication?
O A. Test questions
O B. An outline
O C. Words like please
O D. Body posture
CAN SOMEONE HELP ME PLEASE ASAP!?
Answer:
i think its b
Step-by-step explanation:
Lee's Leather Store marked down leather jackets 10 percent. What is the sale price of a
leather jacket regularly priced at $130?
O $103
O $113
O $123
O $117
Estimation Rita goes to the mall. If x is the number of items she bought, the expression 18.54x+23 gives the amount she spent in dollars at one store. Then she spent 25 dollars at another store. Find the expression which represents the amount Rita spent at the mall. Then estimate how much Rita spent if she bought 2 items.
Answer:
18.54x +48$85Step-by-step explanation:
The total amount Rita spent is ...
(18.54x +23) +(25) = 18.54x +48 . . . total spent
__
When x=2, that is approximately ...
(18.5)(2) + 48 = 37 +48 = (40 -3) +(50 -2) = (40 +50) -(3 +2) = 90 -5 = 85
Rita spent about $85 if she bought 2 items.
_____
Additional comment
Estimation is often done using 1 significant figure. In this case, that would mean rounding the equation to 20x+50, so it would give a value of 90 when x=2.
An additional task when estimating is to estimate the error in the estimate. Here, using 20x+50 has an error of approximately 1.5x+2 (too high), so the error for 2 items will be about (1.5(2)+2) = 5. That is, the estimate of 90 is approximately 5 too high. Even this estimate has a remaining small error of 0.04x (too low).
Anand's garden is 70m long. If it is a square type and he has to fence with barbed wire of 3 rounds. What is the total length of the wire?
please give a valid and step by step explanation and answer this will give u an extra 5 points
Answer:
If her garden is 70m long, and it's a square type, wouldn't that suggest that her garden is 280m long?(70m X 4) And if this is the case, her garden would be 280 X 3=840 since there are 3 rounds?
Step-by-step explanation:
Answer: 840m
Sam paid $50 for her new skateboard. In addition, she paid $3.50 in taxes. What was the tax rate on Sam's purchase?
Answer: $53.50 ?
Step-by-step explanation:
Triangle J K L is shown. Point M is the midpoint of side K L and point J is the midpoint of side J L. The length of K J is 12.8 meters, the lengths of J N and N L are 3.7 meters, and the lengths of K M and M L are 5.9 meters. Which statements about triangle JKL are true? Select two options. M is the midpoint of line segment KJ. N is the midpoint of line segment JL. MN = One-halfKJ MN = 4.4m MN = ML
Answer:
1 and 3
Step-by-step explanation:
Answer:
B) N is the midpoint of line segment JL.
D) MN = 1/2 KJ
Step-by-step explanation:
edgeeee
5x/2 - 3x/4 = 10 1/2
how to solve this?
[tex] \frac{5x}{2} - \frac{3x}{4} = 10 \frac{1}{2} \\ [/tex]
[tex] \frac{5x}{2} - \frac{3x}{4} = \frac{21}{2} \\ [/tex]
Multiply both sides by 4
[tex]4 \times ( \frac{5x}{2} - \frac{3x}{4} ) = 4 \times \frac{21}{2} \\ [/tex]
[tex]10x - 3x = 42[/tex]
[tex]7x = 42[/tex]
Divide both sides by 7
[tex] \frac{7x}{7} = \frac{42}{7} \\ [/tex]
[tex]x = 6[/tex]
What is the mass of a litter of 9 baby opossums?
Answer:
It is approximately 0.13 grams.
Please help meeee! Need the answer for the first box, no phony answers please! Thanks for your help, and happy holidays!
Answer:
y=2(x+5)^2-4.
Step-by-step explanation:
By solving a little bit, we get the vertex to be (-5, -4). Plugging the info given and the vertex into the vertex form, we get y=2(x+5)^2-4. You have a happy holiday season, too!