The question is incomplete. The complete question is :
The volume of a sphere is increasing at a rate of 7 cm^3/sec. Find the rate of change of its surface area when its volume is 4 pi / 3 cm^3. (Do not round your answer.)
Solution :
Volume of the sphere, [tex]$V=\frac{4}{3} \pi r^3$[/tex]
Given that [tex]$\frac{dV}{dt}= 7 \ cm^3/s $[/tex]
V = [tex]$\frac{4 \pi}{3} = \frac{4 \pi r^3}{3}$[/tex]
∴ r = 1
[tex]$\frac{dV}{dt} =\frac{4}{3} \pi .3.r^2 \ \frac{dr}{dt}$[/tex]
[tex]$7 = \frac{4}{3} ( \pi )(3) (1)^2 \frac{dr}{dt}$[/tex]
[tex]$\frac{dr}{dt}=\frac{7}{4 \pi}$[/tex] cm/s
Surface area, [tex]$A = 4 \pi r^2$[/tex]
[tex]$\frac{dA}{dt} = 8 \pi r \ \frac{dr}{dt}$[/tex]
[tex]$\frac{dA}{dt} = 8 \pi \times \frac{7}{4 \pi} \times 1$[/tex]
[tex]$=14 \ cm^2/s $[/tex]
Model with mathematics. Abbi has decided to
offer a 2-hour computer gaming party for her
students. She can rent the student center for $45
per hour, and she can have the technology team set
up a network for up to 10 computers for a total of
$200 for the evening. Compose function p(x) such
that x is the number of students and p(x) is the
price per student for her to break even on the cost.
Note any appropriate restrictions on the domain x.
Answer:
180,000
Step-by-step explanation:
You got to multiply all the numbers and then divide by 600 and then you het your anwser
Pls help BRAINLYEST FOR BEST ANSWER YAYA
Answer:
A) 21
Step-by-step explanation:
Mean:
(23 + 18 + 24 + 15 + 25)/5
105/5
21
Answer:
21
The mean is 21. Remember to calculate the mean we add up the numbers then divide them by the number of numbers.
which is a correct step when using the median fit method for modeling data?
Use the median value of intercepts found
Calculate slope using the right and middle points
Determine three y intercepts by using each summary point along with the slope.
Determine the median of the x values and the median of the y values.
When using the median fit method to model data, you should Determine three y intercepts by using each summary point along with the slope.
What is the median fit method?This is a model for coming up with trend lines to represent the data given by a data set by dividing the given data into sections where the data points are equal in number.
As there will be three sections, it is important that three y intercepts are determined using summary points and the slope.
Find out more on the median fit method at https://brainly.com/question/23298464.
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Answer: C
Step-by-step explanation:
Don’t know how to solve, help ?
Step-by-step explanation:
180 - 120 = 60
32 + 60 = 92
180 - 92 = 88
i need number 22 PLS AND THANK YOU!
Answer:
For any two given points (x1,y1) and (x2,y2), the slope = (y2-y1)/(x2-x1)
Let's take the points (15,3) and (30, 6):
slope = (y2-y1)/(x2-x1)
= (6-3)/(30-15)
=3/15
=1/5 =0.2
The slope, in general, means the rate of change of y, relative to x. In the context of this question, the slope tells us that the amount of concrete that can be poured (in yards) is a fifth of the time taken (in minutes).
Find the area of the following composite figure
Answer:
1713
Step-by-step explanation:
952+288+472=1713
You are buying a new internet service. The service costs $75 per month. In the equation below, d is the total number of dollars that you pay for your service, and t is the time (in months) that you keep the service.
The relationship between these two variables can be expressed by the following equation:
d=75t
Identify the dependent and independent variables.
Dependent variable Independent variable
The total number of dollars you pay {} {}
The time in months you keep your service {} {}
Answer:
independent Variable
Step-by-step explanation:
Because we already know that x=75, and that a independent variable is An independent variable is a variable that represents a quantity that is being manipulated in an experiment. x is often the variable used to represent the independent variable in an equation.
Convert .45 tons to kilograms to the nearest hundredth
Answer:
40,823.31 kilograms.
Step-by-step explanation:
5. What is the volume of the triangular
prism?
a) 480 cm3
b) 192 cm3
c) 240 cm
d) 384 cm3
Answer:
B
Step-by-step explanation:
The volume of a prism is the area of the cross section x length
The area of the cross section:
Area of a triangle = [tex]\frac{base * height}{2}[/tex] so [tex]\frac{6*4}{2} = 12[/tex]
12 x 16 = 192 so B
Answer:
Step-by-step explanation:
After painting 3/8 of a fence he finds that he has painted 15 feet
Answer: I'm assuming you want to know how much surface area his fence is, so 40
Step-by-step explanation: First we can divide 15 by 3 to get 5, and then multiply 5 by 8. This gives us 40, which is our answer.
Hope this helps :)
Answer:
ok whats the question tho is it the total length of the fence if it is its 40 pretty sure
Step-by-step explanation:
3/8 of the fence lets say x, equals 15 feet
divide 15 by 3/8 to find x which is 40
whats the answer to 10/y = 2/9
Answer:
y=45
Step-by-step explanation:
Answer:
=45
Step-by-step explanation:
combine like terms !-3r - 5 + 2r - 3r - 2s
HELP ASAP
What inequality is represented by this graph? 1 7 9 OXSA Xc6
Answer:
OMG OMG OMG OMGOOOOOOOOOOO THANKS FOR 50 POINTS
A set of data is Normally distributed with a mean of 25 and a standard deviation of 5. What percent of values are between the z-values –0.4 and 0.6? Round to the nearest whole percent.
Use the z-table to answer the question.
9%
19%
38%
49%
Answer:
38%
Step-by-step explanation:
Answer:
38% is correct
ED2021
LOOK AT THE PHOTO PLEASEEE
Answer:
90
Step-by-step explanation:
Remeber there are 180 degress in a right triangle.
Answer:
y = 90°
Step-by-step explanation:
Y is 90 degrees. The base of the triangle seems to be bisected by a perpendicular bisector. The resulting angles are 90 degrees on both sides. And seeing as 90 is y, x is 20.
To be more precise. We know this is an isosceles triangle, due to the fact that the angle right of 110 must be 70 degrees (they are supplementary angles.) The entire triangle must add up to 180 by the triangle angles sum theorem, and two 70 degree angles add up to 140, meaning the last angle is 40 degrees. That final angle is bisected, meaning each part is 40/2, that's 20.
Have a nice day, fam. Spread The Love.
I need these answers
Answer:
Volume of triangular prism = 126 cm³
Step-by-step explanation:
Given:
Base of side triangle = 6.3 cm
Height of triangular prism = 4 cm
Length of side = 10 cm
Find:
Volume of triangular prism
Computation:
Volume of triangular prism = Area of triangular cross section x Length of side
Volume of triangular prism = (1/2)(b)(h) x Length of side
Volume of triangular prism = (1/2)(6.3)(4) x 10
Volume of triangular prism = (6.3)(2) x 10
Volume of triangular prism = 12.6 x 10
Volume of triangular prism = 126 cm³
(-6) (-7)= equals what?
Answer: 42
Step-by-step explanation:
A negative number times a negative number will have a positive product.
(-6)(-7)=42
Hope this helps
Classify the following triangle. Check all that apply. 60° 8.4 4.2 30" 7.3 A. Acute B. Equilateral C. Obtuse D. Scalene E. Isosceles O F. Right
The given triangle is a right triangle and a scalene triangle.
What is a scalene triangle?A scalene triangle is a triangle with three different side lengths and three different angle measurements. The total of all internal angles, however, is always equal to 180 degrees. As a result, it satisfies the triangle's condition of angle sum.
It does not have equal sides. No equivalent angles exist. It lacks a symmetry line. No point symmetry exists. This triangle can have acute, obtuse, or right angles inside of it.
In the given triangle we see that one angle measure is 90 degrees thus, the triangle is a right triangle.
Also, all the sides of the triangle have different lengths. thus the triangle is also a scalene triangle.
Learn more about scalene triangle here:
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Sharon needs 3 pounds of turkey for every 2 people that are attending her dinner party.
How many people can she feed with 30 pounds of turkey?
Answer:
yeah 10 people
divide the 30 lbs with 3 (because she can feed 2 people with 3 lbs) and yeah
2. The area A of a circle is increasing at a constant rate of 2.5cm s . If the area of the circle is given
by A = πr2, what is the rate of change of the radius when the radius is 15cm?
Answer:
235.65 cm^2s-1
Step-by-step explanation:
We have that;
Rate of change of area (dA/dt) = (dA/dr) (dr/dt) By chain rule
Note that dr/dt = rate of change of radius
But
A = πr^2
dA/dr = 2πr
dr/dt = 2.5cm s-1 (given)
So;
dA/dt = 2πr * 2.5cm s-1
r = 15cm (given)
dA/dt = 2 * 3.142 * 15cm * 2.5cm s-1
dA/dt = 235.65 cm^2s-1
Find the area between y=-x and y=x at [0,3]
Answer:
don't listen to the other person
Step-by-step explanation:
help me for 20 points
Answer:
Im not so sure about the answers that i picked if you want to use them use them
Step-by-step explanation:
y=13-2x^2
y=x+7
2=y + x^5
How many years will it take for your salary to be $105,000 per year?
Answer:
simple answer in edmentum
Step-by-step explanation:
What is the common ratio of the geometric sequence below 18,-6,2,-2/3
Answer:
-1/3 is common ratio
Step-by-step explanation:
PLESE HELP WILL MARK BRIANLIEST
Answer:
1. a=-9 b=13 c=-1
2. a=1 b=1 c=-11
(d) State any two(2) properties of a semiconductor material.
Answer:
Semiconductors are somewhere in-between conductors and insulators. This means that they are specific when it comes to conducting electricity meaning that their conduction of electricity varies based on their condition at the time.
For instance, they can conduct electricity when heated.
Properties:
1. Perfect insulator at Absolute Zero.
As mentioned above, semi conductors are better at conducting electricity when they are heated. At Absolute zero - the lowest temperature possible - therefore, these materials would conduct absolutely no electricity thereby making them perfect insulators.
2. More resistance than Conductors but less than Insulators
As mentioned above, they have properties in-between those of insulators and conductors. One of those is their resistance. They can resist more than conductors but less than insulators.
Tara has two bags of marbles. Bag 1 contains 6 red marbles, 5 blue marbles, and 4 green marbles. Bag 2 contains 3 red marbles, 2 blue marbles, and 4 green marbles. Tara will randomly select 1 marble from each bag. What is the probability that Tara will select a red marble from each bag?
Answer: 26 - 6
Step-by-step explanation: i think sorry if rong
Which fraction is greater?
2/3 or 3/8
Answer:
you have to find common denominators first.
Step-by-step explanation:
24 is their common
8x2=16/24
3x3=9/24
your first fraction is larger!
please consider marking me as brainliest! Have an amazing day lovely!
answer:
2/3
explanation:
convert to a decimal then compare the two and the one with the biggest number is greater
Suppose Tabitha finds an annuity that pays 7.0% annual interest, compounded semiannually. She decides to invest $650
semiannually in this annuity for 5 years. How much interest does she earn during the 5 years?
Round your answer to the nearest cent.
Do NOT round until you have calculated the final answer.
Answer:
Rounded to the nearest cent, over 5 years she will earn $ 916.89.
Step-by-step explanation:
Since Tabitha found an annuity that pays 7.0% annual interest, compounded semiannually, and she decided to invest $ 650 semiannually in this annuity for 5 years, to determine how much interest she will earn during the 5 years the following calculation must be performed:
650 x (1 + 0.07 / 2) ^ 5x2 = X
650 x (1 + 0.035) ^ 10 = X
650 x 1,035 ^ 10 = X
916,889 = X
Thus, rounded to the nearest cent, over 5 years she will earn $ 916.89.
Answer: 1125.41
Step-by-step explanation:
First, let’s find out how much is in the account after 5 years. We will use the savings annuity formula
A(t)=d((1+r/n)n⋅t−1)r/n
to find the value of A(5). We know that r=0.07, d=$650, n=2 compounding periods per year and, t=5 years. Substitute these values into the formula.
A(5)=$650 ((1+0.07/2)5⋅2−1)/(0.07/2)
Simplifying gives
A(5)=$650 ((1.035)10−1)/(0.035),
thus
A(5)=$7,625.41.
The sum of all deposits D5 is given by 5⋅2⋅$650=$6,500. Now, substitute these numbers into
A(5)=D5+I5
and solve for I5. This gives
$7,625.41=$6,500+I5,
yielding the total interest paid as $1,125.41. Enter 1125.41 as the answer.
10 × (1-6) ÷ 5
= ?
The answer is not (-10)
Answer:
It is negative ten-
Step-by-step explanation: