Answer:
5 cm/min
Step-by-step explanation:
A spherical balloon is being inflated with helium at a rate of 20π cm³/min.
The volume of a sphere is given by :
[tex]V=\dfrac{4}{3}\pi r^3[/tex] ...(1)
Differentiate equation (1) wrt t as follows :
[tex]\dfrac{dV}{dt}=3\times \dfrac{4}{3}\pi r^2\times \dfrac{dr}{dt}\\\\\dfrac{dV}{dt}=4\pi r^2\dfrac{dr}{dt}\ ....(1)[/tex]
Put dV/dt = 20π cm³/min and r = 1 cm, we can fin dr/dt
[tex]\dfrac{dV}{dt}=4\pi r^2\dfrac{dr}{dt}\\\\20\pi =4\pi (1)\times \dfrac{dr}{dt}\\\\\dfrac{dr}{dt}=5\ cm/min[/tex]
So, the radius of changing at the rate of 5 cm/min.
Using implicit differentiation, it is found that the radius is changing at a rate of 5 cm/min.
The volume of a sphere of radius r is given by:
[tex]V = \frac{4\pi r^3}{3}[/tex]
Applying implicit differentiation, the rate of change is of:
[tex]\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}[/tex]
A spherical balloon is being inflated with helium at a rate of 20π cm3/min, hence [tex]\frac{dV}{dt} = 20\pi[/tex]The radius is of 1 cm, hence [tex]r = 1[/tex].Then:
[tex]\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}[/tex]
[tex]20\pi = 4\pi (1)^2\frac{dr}{dt}[/tex]
[tex]\frac{dr}{dt} = \frac{20}{4}[/tex]
[tex]\frac{dr}{dt} = 5[/tex]
The radius is changing at a rate of 5 cm/min.
A similar problem is given at https://brainly.com/question/14004755
An entire pumkin pie (16 Slices ) has 3,840 calories. If the pie is cut into 16 slices how many calories are in each slice?
Answer:
240
Step-by-step explanation:
Answer:
240 calories
Step-by-step explanation:
3,840 divided by 16 is 240 :)
+1112
12
2
−
4
(
6
)
+
1
11
2
.
Answer:
1113210
Step-by-step explanation:
Answer:
I think its 7844
Step-by-step explanation:
bc 4(6) means 4x6
students set up 6 rows of seats for a music concert. they put 6 seats in each row. what is the total number of seats? solve this problem any way you choose
Answer:
36
Step-by-step explanation:
becuase each row has 6 in them and there are 6 rows so 36 is the final answer
Timed!! Answer hurry!
need help plz its math
Answer:
option D 41
Step-by-step explanation:
since ∠N = ∠L
this means that MN = ML (sides opposite to equal angles are equal)
thus
3x + 1 = 5x - 7
1 + 7 = 5x - 3x
8 = 2x
8/2 = x = 4
inserting values
3*4 + 1= 13
4*4-1 =15
5*4-7 = 13
adding all
13 + 13+ 15 = 41
option D 41
3x + 2(4 + 6x) = 113
Explain what you did in each step of your solution.
Answer:
x = 7
Step-by-step explanation:
So first, multiply everything inside the ( ) by 2
So then, the equation will look like this: 3x + 8 + 12x = 113
Then, combine like terms, which leave the equation to look like this:
15x + 8 = 113
Then subtract 8 from both sides, leaving the equation like this : 15x = 105
Last step, divide both sides by 15, which leave you with x = 7
If EG=71 , find the value of x
Answer:
A
Step-by-step explanation:
A = 71 so then EG = 91
10 points pls help me this is urgent if i don’t do this i won’t pass
Answer:
Here's something to help you
Step-by-step explanation:
I'm using the second question as an example.
To find the Unit Rate, you have to divide the amount of money by the amount of whatever the product is
5.99/8= 0.74875
Since the question says to round it to the nearest hundredth, that means the price per unit (unit rate, or the price for one battery here) would be about $0.75. Simple, right?
Solve the equation and enter the value of x below.
-4x-13 = 51
X=
Answer here
Answer:
x = -16
Step-by-step explanation:
-4x - 13 = 51
-4x = 51 + 13
-4x = 64
x = -16
-3/4x+9 xccccccccccccccccccccccccccccccccccccccccc
Potato salad cost $1.29 per pound at the deli Counter about how much do you think 4.5 pounds of potato salad will cost
Answer:$5.80
Step-by-step explanation:
if you multiply 1.29 by 4.5 then you get 5.80500 which assuming you're talking about money rounds to $5.80
How to you Simplify x+4-5x-2?
Answer:
Combine the like terms
-4x+2
Thats it
Slope, m = 3, y-intercept, b = 5
Answer:
I can't help if I don't have enough to answer sorry
Step-by-step explanation:
Is there another way to extend the plane of complex numbers other than by the Riemann sphere?
No answer needed! Just take the points.
Step-by-step explanation:
Put the question again I don't see it
URGENT!! Please help
Answer:
The measure of the largest angle is 72º.
Step-by-step explanation:
We will first solve for x. We know that the sum of the interior angles of a triangle is 180º, so 15x + 21x + 24x is equal to 180º. This means that 60x = 180º, so x = 3º. The largest angle is 24x, which is 72º.
Two cups of flour make 23 batch of bread. How many cups of flour make 1 batch?
Help me with this please
Answer:
It would be -13
Step-by-step explanation:
Answer:
-13
Step-by-step explanation:
You need to separate the 8 from each side of the equation. Picture it like this:
-104= 8 (multiplied by) x
To separate 8 from the variable, you need to divide that side by 8. Similarly, you need to do the same thing to the other side.
-104/8=8x/8
-13=x
A club has 11 members.
a) How many different 3-member committees could the club form?
b) In how many ways can a club president, treasurer, and secretary be chosen?
c) By what factor do the answers in parts b) and c) differ? How do you account for this difference?
Answer:
good
Step-by-step explanation:
calculate it on alculator
help!! 8th grade math problem
Answer:
Javier. (5.6 × x) + y = 26.96
Ellema. (13.2 × x) + y = 48.62
x = cost of gas
y = cost of car wash
V
P
A
4 Here is an explanation that the angle sum of triangle ABC is 180°.
The reasons for each line are missing.
Give the reasons.
1. Angle A of the triangle = angle PCA
2. Angle B of the triangle = angle QCB
3. Angle PCA + angle C of the triangle + angle QCB = 180°
Hence angle A + angle B+ angle C = 180°
С
B
5 Show that the interior angles of this shape add up to 360°.
Answer:
Step-by-step explanation:
360
a bakery sold 208 chocolate cupcakes in a day,which was 25%of the total number of cupcakes sold that day. How many cupcakes did the bakery sell that day
Answer:
832
Step-by-step explanation:
multiply the 25% by 4
Answer:
Coryxkenshin
Step-by-step explanation:
No I never lied hahahah
Answer:
liar
Step-by-step explanation:
Which size bottle of ketchup is the best deal with the lowest unit price?
Prices for Different Sizes of Bottles of Ketchup
Size Bottle
Price
10 oz.
$2.50
14 oz.
$2.80
16 oz.
$4.00
18 oz.
$5.40
Answer:
14oz for $2.80
Step-by-step explanation:
Well to determine the unit prices you must divide the price by whatever the weight is. As so:
10oz: 2.5/10=0.25
14oz: 2.8/14=0.20
16oz: 4/16=0.25
18oz: 5.4/18=0.30
So your answer is 14oz for $2.80
Answer: I’m pretty sure ur answer would be 14 oz. :)
Step-by-step explanation: good luck !<3
A survey asked 200 students to name their favorite fruit. The table shows the results of the survey. How many more students chose peaches compared to oranges as their favorite fruit? Explain your thinking.
Answer:
Without seeing the table I can't answer the question
Step-by-step explanation:
But if you take the number of Peaches and subtrqact the number of oranges will have your answer.
Cindy bought 3 burgers and 2 soft drinks for $10.50. At the same restaurant, Sean bought 4 burgers and 3 soft drinks for 14.50. How much does 1 burger cost
Answer:
To much to count
Step-by-step explanation:
Mrs. Anders gave her class 15 minutes to read. Courtney read 8 ½ pages in that time. At what rate, in pages per hour, would Courtney read?
Answer:
34
Step-by-step explanation:
15 mins is 1/4 od an hour so mulitply 8 1/2 (8.5) x 4
Answer:
First we figure out how many words in total she has to read.
This would be the (number of pages) times (number of words per page).
820 * 350 = 287000
so she has to read 287000 words
we divide this by 110 to get how long it would take for her to finish (in minutes)
287000 / 110 = 2609.09090909....
then since there are 60 minutes in an hour, we divide that number by 60
2609.09090909... / 60 = 43.48484848...
Therefore it would take her about 43.5 hours to complete her assignment.
Step-by-step explanation:
help me with this its super hard
Answer:
240
Step-by-step explanation:
Because you have to do length times with times height
12 times 10 times 2= 240
For which pair of functions is (g circle f) (a) = StartAbsoluteValue a EndAbsoluteValue minus 2?
f(a) = a2 – 4 and g (a) = StartRoot a EndRoot
f (a) = one-half a minus 1 and g(a) = 2a – 2
f(a) = 5 + a2 and g (a) = StartRoot a minus 5 EndRoot minus 2
f(a) = 3 – 3a and g(a) = 4a – 5
Please explain in detail I am very confused about the whole thing thx for ur help in advance :)
Given:
[tex](g\circ f)(a)=|a|-2[/tex]
To find:
The functions f(x) and g(x).
Solution:
We know that,
[tex](g\circ f)(a)=g[f(a)][/tex]
If [tex]f(a)=a^2-4[/tex] and [tex]g(a)=\sqrt{a}[/tex], then
[tex](g\circ f)(a)=g[a^2-4][/tex]
[tex](g\circ f)(a)=\sqrt{a^2-4}\neq |a|-2[/tex]
Option A is incorrect.
If [tex]f(a)=\dfrac{1}{2}a-1[/tex] and [tex]g(a)=2a-2[/tex], then
[tex](g\circ f)(a)=g[\dfrac{1}{2}a-1][/tex]
[tex](g\circ f)(a)=2(\dfrac{1}{2}a-1)-2[/tex]
[tex](g\circ f)(a)=a-2-2[/tex]
[tex](g\circ f)(a)=a-4\neq |a|-2[/tex]
Option B is incorrect.
If [tex]f(a)=5+a^2[/tex] and [tex]g(a)=\sqrt{a-5}-2[/tex], then
[tex](g\circ f)(a)=g[5+a^2][/tex]
[tex](g\circ f)(a)=\sqrt{5+a^2-5}-2[/tex]
[tex](g\circ f)(a)=\sqrt{a^2}-2[/tex]
[tex](g\circ f)(a)=|a|-2[/tex]
Option C is correct.
If [tex]f(a)=3-3a[/tex] and [tex]g(a)=4a-5[/tex], then
[tex](g\circ f)(a)=g[3-3a][/tex]
[tex](g\circ f)(a)=4(3-3a)-5[/tex]
[tex](g\circ f)(a)=12-12a-5[/tex]
[tex](g\circ f)(a)=7-12x\neq |a|-2[/tex]
Option D is incorrect.
Therefore, the correct option is C.
To calculate your Medicare tax deductions, multiply your gross pay by 1.45%. If your gross pay was $350.00, what would be the amount deducted for Medicare? ASAP!!!
The Correct Answer: $5.07
What is the decimal value of 5/6
Answer:
0.83
Step-by-step explanation:
The 3 keeps going on and on and on :)
Hey there!
• In order to CONVERT a FRACTION to a DECIMAL, all you have to do is DIVIDE the NUMERATOR (TOP number) from the DENOMINATOR (BOTTOM number)
• “What is the decimal value of 5/6?”
5 / 6 = 5 ÷ 6 → 0.83
Answer: 0.83 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
