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
The Bill of Rights was ___.
A) all of these
B) demanded by those considering ratification of the Constitution
C) none of these
D)the first ten amendments to the Constitution
E) added by the first Congress after the ratification of the Constitution
Answer: The answer is D, the first ten amendments to the constitution.
i'm so confused pls somebody help me
Answer:
(6x-8)+(3x)+x=180 - the equation that would be used to find x
Step-by-step explanation:
(6x-8)+(3x)+x=180
I´m not sure what the answer of the equation is but this is the equation. im sorry :(
Answer:
see explanation
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
sum the 3 angles and equate to 180
3x + x + 6x - 8 = 180 , that is
10x - 8 = 180 ( add 8 to both sides )
10x = 188 ( divide both sides by 10 )
x = 18.8
3x = 3 × 18.8 = 56.4
6x - 8 = 6(18.8) - 8 = 112.8 - 8 = 104.8
Then the 3 angle measures are
18.8° , 56.4° , 104.8°
Anthony received $150 for his birthday this year. This was $10 less than half the amount he received last year.
How much money did Anthony receive for his birthday last year?
Answer
320
Step-by-step explanation
150 + 10 = 160
160 * 2 because it said than half the amount he received last year = 320!
I need help with this question
Answer:
The time may be calculated by making the equations equal each other:
2w +7 = .5w + 10
1.5w = 3
weeks = 2
Step-by-step explanation:
If the human heart beats an average of 68 beats in
a minute, how many times will it beat in 84 minutes?
А
5,712
B 5,612
152
5,702
3. Solve for side length BD
A
31
D
13 cm
I
47
C
B
Answer:
A
Step-by-step explanation:
this is beacuse of the ? mark!
Glad this will help
Solve for X
(24x – 19)
(16х + 13)
Step-by-step explanation:
24x - 19 = 16x + 13
24x = 16x + 32
8x = 32
x = 4
What is the range of y=3sin(x)?
Answer:
The range is -3≤y≤3 - 3≤y≤3.
Step-by-step explanation:
I hope this helps! :)
When Johan calculates how much interest he must pay, he calculates as follows: SEK 0.045-620,000 = SEK 6,975/4
a) What is the interest rate? How are you thinking?
b) Why does Johan divide by 4?
Answer:
its b
Step-by-step explanation:
Trevor earns $7.80 an hour take home pay and works 20 hours each week. Trevor wants to buy a new laptop computer to take to college that costs $780. How many weeks will it take for Trevor to achieve his goal? a. 4 weeks b. 5 weeks c. 6 weeks d. 7 weeks
Answer:
5 weeks
Step by step
7.80 x 20 = 156
156 x 5 = 780
Answer: B) 5 weeks
Step-by-step explanation: I know your struggling and that's why you need this answer. your welcome cutie.
Need help ASAP! Directions in picture ;)
Answer:
30
Step-by-step explanation:
130 + 20 = 150
All angles added together in a triangle equal 180 so...
180 - 150 = 30
I hope this helps!
don't ask why im asking for help ;-;
2.744
merry christler
A class is made up 15 girls and 12 boys. If a group is made up 3 girls and 3 boys, then how many groups can be created?
this is a COUNTING PRINCIPLE problem :")
What is the L.C.M of 45 80 and 135
Answer:
LCM = 2160
Step-by-step explanation:
lcm of 45 80 and 125 is 2160 because LCM = 2160
Answer:
the answer is (that I found) is 2160
14b = −56
i need help figuring out what this is i'm doing it but i keep getting it wrong please help
Answer:
-4
Step-by-step explanation:
14b = -56
divide by 14
-56 ÷ 14 = -4
b = -4
I hope this helps!
Answer:
b = -4
Step-by-step explanation:
[tex]14b = -56\\\\rule{150}{0.5}\\\frac{14b=-56}{14}\\\\ \boxed{b = -4}[/tex]
Hope this helps.
PLEASE HELP I THINK THIS IS EASY BUT I DONT WANT TO DO IT
Answer:
14,20
Step-by-step explanation:
What is the answer
80x+56=100
Answer:
Ur answer buddy
The equation80x+56=100First, solve like this80x = 100 - + 56U have to know the formula - + = -+ + = -- - = ++ - = +
So, The answer is 80x = 44Now , we have divide 80/44 = 40/22 = 20/11= 1.8182.Select the correct answer.
A pencil costs $0.25 more than an eraser. If the cost of eight pencils is $6.80, what is the cost of one eraser?
A.
$1.80
B.
$0.85
C.
$0.60
D.
$0.40
E.
$0.30
Answer:
C.$0.60
hope this help!!!!!!!!!!!!!!!!!!!!!!
decide whether the function is a polynomial function if it is write the function in standard form
f(x)=1/2x²-3x^4-7
Answer:
yes, it is a polynomial function because all of the exponents are non-negative; standard form is f(x) = -3x⁴ + 1/2x² - 7
Step-by-step explanation:
standard form is placing all terms in decreasing exponent order
Answer:
it is a polynomial because all of the exponents are non-negative
standard form f(x)=-3x^4+1/2^2-7
Step-by-step explanation:
Hope it helps
Have a nice day : )
A car is traveling at 55km/hr and has a mass of 1200 kg. What is the momentum of the car?
Its multiple choice:
A 21.8 km/hr
B 66,000 kg km/hr
C 21.8 kg km/hr
D 66,000 km/hr
Thank you for whoever solves this, I will make sure to add brainliest if possible
Help asap!! Full work shown gets brainliest!!
Answer:
2√6
Step-by-step explanation:
1. First, let's solve for the base of the triangle with the help of the Pythagorean Theorem (a^2 + b^2 = c^2).
[tex]5^2 + b^2 = 7^2[/tex] [tex]25 + b^2 = 49[/tex] [tex]b^2=24[/tex] [tex]b = \sqrt{24}[/tex]2. Now, let's find the factors of 24 and see which one is a perfect square:
1, 2, 3, 4, 6, 8, 12, 24As you can see, the factor that's a perfect square is 4, so in order for it to multiply to 24, the other one has to be 6. [tex]\sqrt{24} = \sqrt{4} * \sqrt{6} = 2\sqrt{6}[/tex]Therefore, the answer is 2√6.
Answer:
[tex]b=2\sqrt{6}[/tex]
Step-by-step explanation:
The triangle shown is a right triangle.
Because this triangle is a right triangle, we can use they Pythagorean theorem to find the missing side length.
Pythagorean theorem : [tex]a^2+b^2=c^2[/tex]
where a and b = length of legs and c = hypotenuse ( longest side )
we have the hypotenuse ( 7 ) and a leg (5) and need to find the other leg.
So we know that a = 5 and c = 7 and we need to find b
Using the Pythagorean theorem:
[tex]a^2+b^2=c^2[/tex]
a = 5 and c = 7
[tex](5)^2+b^2=(7)^2[/tex]
simplify exponents 5² = 25 and 7² = 49
[tex]25+b^2=49[/tex]
subtract 25 from both sides
[tex]b^2=24[/tex]
take the square root of both sides
[tex]b=\sqrt{24}[/tex]
simplify radical
[tex]b=2\sqrt{6}[/tex]
And we are done!
The rocket club is 60% boys. The number of boys is 3 less than 2 times the number of girls. Hov
many girls and how many boys are in the club?
Answer:
no of girls - 300
no of boys - 450
no of girls - 6
no of boys - 9
What is algebraic expression?A number, a variable, or a mix of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation. Word illustration: The product of 8 and 3. Word illustration: The product of 8 and 3 is 11
Given
Let boys be x and girls y
x = 2y-3
x - 2y = -3 ------(i)
x = 60/100(x+y)
10x = 6x + 6y
4x = 6y
2x = 3y
2x - 3y =0------(ii)
Subtract (ii) from (i)*2
no of girls - 6
no of boys - 9
to learn more about algebraic expression refer to:
https://brainly.com/question/4344214
#SPJ2
Mark's test scores for this semester were: 83, 80, 91, 74, 66, 95, 87, 72, 95, & 98. What is the mode of his test scores?
nnnnnnnnnnnnnnnkkkkkkkkkkkkkkkkkkkkkkkkkkkkk
help asap please for brainlist !!!!!!!!!
An equation of a line is y = 3x -7. What would the SLOPE of a line parallel to this equation be?
Answer:
3
Step-by-step explanation:
If two lines are parallel then their slope is the same
y=mx+b
m= slope
b= y-intercept
A bus half ticket costs half the full fare, but the reservation charges are the same on a half ticket as on a full ticket. One reserved first class half ticket from the station A to B costs 1000. Also, if two reserved first class full tickets and one reserved first class half ticket from A to B costs 4000, then the difference of the full first class fare from station A to B and the reservation charges for a ticket is
Answer:
A railway half ticket costs half the full fare, but the reservation charges are the same on a half ticket as on a full ticket. One reserved first class ...
Step-by-step explanation:
..right ya ???
Find the missing base.
Write your answer as a whole number.
?^2=36
Answer:
6
Step-by-step explanation:
6^2 = 36
hope this helps! :D
have a miraculous day!! <3
Between 11 P.M. and 8:10 A.M., the water level in a swimming pool decreased by 5/24 in. Assuming that the water decreased at a constant rate, how much did the water drop each hour?
Answer:
1/44 inches per hour
Step-by-step explanation:
there are 9 hours and 10 minutes during which water decreased by 5/24"
9 hrs, 10 min can be converted to 9 1/6 hours (10 min is 1/6 of 60 min)
5/24 ÷ 9 1/6 = 5/24 x 55/6
5/24 x 6/55 = 1/44
Please y'all I need help
Answer:
c
Step-by-step explanation:
I think I c cause one of the coordinates is in -4 and the other one is bw 10 and 8 :)
What is 16 divided by 5%=?
Answer:
320
Step-by-step explanation:
I am assuming we are trying to find 16/5%.
5% is equal to 1/20, so we can make this into :
[tex]\frac{16}{\frac{1}{20} }=16*\frac{20}{1}[/tex]
This is equal to 16 x 20 = 320