Answer:
[tex]\frac{dr}{dh} =-\frac{r}{2h}[/tex]
Step-by-step explanation:
The volume of a cylinder is given by the formula:
V = πr²h,
Where V is the volume, r is the radius of the cylinder and h is the height of the cylinder.
We are to express the rate of change of the radius of the clay with respect to the height of the clay in terms of height h and radius r.
That means we express dr / dh in terms of height h and radius r. To do this, we have to first differentiate the volume with respect to the height, i.e. find dV / dh:
V = πr²h
[tex]\frac{dV}{dh}= \frac{d}{dh} (\pi r^2h)\\\\\frac{dV}{dh}= \pi r^2 + 2\pi rh \frac{dr}{dh} \\\\The\ volume\ is\ constant\ hence\ \frac{dV}{dh}=0.\ We\ get\ that:\\\\0= \pi r^2 + 2\pi rh \frac{dr}{dh}\\\\- \pi r^2 =2\pi rh \frac{dr}{dh}\\\\ \frac{dr}{dh}=-\frac{\pi r^2}{2\pi rh}\\\\ \frac{dr}{dh}=-\frac{r}{2h}[/tex]:
What is the mean, median, mode, and range of 10,14,15,15,16,22,22,22,24,24,27,31,32,37,40,44.
Answer:
mean 16.75
median 15.5
mode 13
range 16
Answer:
25.5 is the median, 22 is the mode, 24.7 is the mean and 34 is the range
Step-by-step explanation:
mean is the average, you get this by adding up all the numbers and then dividing the total by the amount of numbers there are.
the median is the number with the middle value, in this case there were 2 medians because the was an even number of numbers so you average the medians
mode is the number the occurs the most out of the whole set. For example in this case all the numbers occurred twice except 22 which occured 3 times
Last is the range which takes the highest number and subtracts it by the lowest number. It's just that simple!
Given f(x) = -x – 4, find f(4).
I need help
Answer:
f(4) = -8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = -x - 4
f(4) is x = 4
Step 2: Evaluate
Substitute in x: f(4) = -4 - 4Subtract: f(4) = -8Express as a trinomial.
(3x - 1)(2x - 10)
Answer:
6x^2 - 32x + 10
Step-by-step explanation:
I used the FOIL method of factoring. Hope this helps!
Identify the causes and effects of the Great Depression.
Causes
Effects
| Select 1
[ Select
Select 1
[ Select)
[Select)
[ Select)
Answer:
causes
1.stock market crash of 1929
2.bank failures
3.reduction in purchasing across the board
4. american economic policy with europe
5. drought condition
One advantage to sexual reproduction versus asexual reproduction is that
Answer:
Time Efficient; no need to search for mate, requires less energy
Step-by-step explanation:
Hope This Helped if it did can i plz have brainliest
Answer:
I think it b
Step-by-step explanation:Because D it requires significant energy on the part of the organism to find a mate.C no they do not become extinct.A it takes a long time.
I WILL MAKE BRAINLIST OF CORRECT!
In the diagram, the measures of 21, 24, and 25 are 120°. The measure of 27 is 60°. Are lines cand d parallel?
Answer:
D
Step-by-step explanation:
1 and 5 are almost completely across from each other.
Add.
6.2 + 0.95 = ?
The sum is
.
Subtract.
2.53 – 0.8 = ?
The difference is
.
Answer:
The answer to the first question is 7.15
The answer to the second question is 1.73
Answer:
7.15; 1.73
Step-by-step explanation:
6.2 is the same as 6.20, so:
6.20
+ 0.95
= 7.15
0.8 is the same as 0.80, so:
2.53
- 0.80
= 1.73
Ben jogged 4 1/2 miles in 1 1/4 hours at a constant rate. How far did ben jog in 1 hour?
Answer:
3.6 miles
Step-by-step explanation:
do 4.5/1.25 because that is the unit rate. when you do that you get 3.6 miles in an hour
What is the value of x?
Answer:
Is x = - 70
Step-by-step explanation:
If its wrong tell me
(8a+5b−3)+3(b−3) Simplify
Answer: 8a+8b−12
Step-by-step explanation: 8a+5b−3+3(b−3)
=8a+5b+−3+(3)(b)+(3)(−3)
=8a+5b+−3+3b+−9
=(8a)+(5b+3b)+(−3+−9)
=8a+8b+−12
Russell sold 40 shares of a stock. The value of each share has decreased by $1 since he bought the stock. Express the amount Russell gained or lost as an integer.
Answer:
Integer = -40
Step-by-step explanation:
40 x -1
= -40
Therefore, -40 is the integer.
4,320 is divisible by please show your work
Answer:
The numbers that 4320 is divisible by are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 32, 36, 40, 45, 48, 54, 60, 72, 80, 90, 96, 108, 120, 135, 144, 160, 180, 216, 240, 270, 288, 360, 432, 480, 540, 720, 864, 1080, 1440, 2160, and 4320.
Step-by-step explanation:
Because if u multiply 1 and 4320, you get 4320
then if you multiply 2 and 2160, you get 4320
and just keep doing that with all of the other numbers
y = x+2
Given x = 1
y =
Answer:
Y=3
Step-by-step explanation:
12 baseball cards cost $25 = How many dollars per baseball card?
Answer:
2.08333333333
Step-by-step explanation:
Answer: Each card costs $2.08
Step-by-step explanation: This is because you need to divide the cost for 12 cards by 12. 25/12 is 2.08333333... so you can round that to $2.08.
help me answer this please
Answer:
Step-by-step explanation:
1, 3, 4, 5, 2, 6, 7
what is (7g-6)-(-3n-4) help me wit this asap
Answer:
Step-by-step explanation:
7g-6+3n+4= 7g+3n-2
A photographer is 6 feet tall and cast a shadow that is 2 feet long. He is photographing a palm tree with a shadow that is 7 feet long. What is the height of the tree
Answer: The height of the tree is 21 feet.
Step-by-step explanation:
Here we can assume that the angle at which the sun impacts the photographer and the tree to be the same angle.
Then we can think in both cases as triangles rectangles, where the height is a cathetus, and the shadow is the other cathetus.
Then we will have a relationship like:
Tg(angle) = shadow/height
height = shadow/Tg(angle)
Now, because for both triangles we have the same angle, then Tg(angle) will be the same number for both cases, and we can just think of it as constant K
Tg(angle) = K
Then we have the equation:
Height = Shadow/K
We know that the photographer is 6ft tall, and his shadow is 2 ft long, we can replace those two things in the above equation and find the value of k:
6ft = 2ft/K
K = 2ft/6ft = (1/3)
Now we know that the shadow of the tree is 7ft long, then the height will be:
height = 7ft/(1/3) = 7ft*3 = 21ft
The tree is 21 ft tall.
A bake sale committee wants to raise $175 for a donation to a local charity. They set aside $14 of their profit at the end of each day. How many days will it take them to raise enough money for the whole donation?
Answer:
Number of days= 12.5
Step-by-step explanation:
Giving the following information:
A bake sale committee wants to raise $175 for a donation to a local charity. They set aside $14 of their profit at the end of each day.
To calculate the number of days required to raise $175, we need to use the following formula:
Number of days= total amount / profit per day
Number of days= 175/14
Number of days= 12.5
PLEASE HELP...! IM ON A TIME SPEED CORRECT ANSWER GETS 50 BRAINLIEST POINTS PLS ANSWER CORRECT
Answer:
It is 92 because 80+95+85+92=352 and then to find average you divide by how ever many numbers which in this case is four and it gets you 88
Step-by-step explanation:
I hope that this helps you out..
help! please look at the picture, the answer is needed quick the explanation doesn't matter. Thanks!
Step-by-step explanation:
49
only the positive 49
hope this helps bro!!
Eduardo opened a credit card at a department store with an APR of 22.29% compounded semiannually. What is the APY on this credit card? (2 points) a 44.58% b 11.15% c 23.53% d 49.55%
Answer:
The correct option is c. 23.53%.
Step-by-step explanation:
The annual percentage yield (APY) can be calculated using the following formula:
APY = (1 + r / n)^n - 1 .............................. (1)
Where;
APY = Annual percentage yield = ?
r = Annual percentage rate = 22.29%, or 0.2229
n = Number of compounding period per year = Semiannually = 2
Substituting the values into equation (1), we have:
APY = (1 + 0.2229 / 2)^2 - 1
APY = 0.2353211025, or 23.53211025%
Rounding to 2 decimal places, we have:
APY = 23.53%
Therefore, the correct option is c. 23.53%.
answer so I can give you brainliest.
Answer:
no
Step-by-step explanation:
Hugo is considering buying a scratch-off lottery ticket that costs 3 dollars. If the ticket wins, he can redeem the
ticket for 50 dollars. If the ticket loses, the ticket is worthless. According to the lottery's website, 2% of all
tickets are winners.
Find the expected value of buying a scratch-off lottery ticket.
Answer: -2
Step-by-step explanation:
Grayson is playing a game in which the object is to obtain a 0 by adding the points scored during each round.
Round 1 Round 2 Round 3 Round 4 Round 5
4
7
1
-12
Based on the points he scored during the first 4 rounds, what score does Grayson need on the 5th round?
-24
-11
12
Answer:
0. See explanation below.
Step-by-step explanation:
Grayson is playing a game in which the objective is to obtain a zero, by adding together the points scored in each round.
For rounds 1 to 4,
4 + 7 + 1 + -12 = 12 - 12 = 0
The summation of points in the first four rounds already results to a zero.
Let us see if the addition of any of the three options for round 5 will still result in a zero!
0 + -24 = -24
0 + -11 = -11
0 + 12 = 12
So all the options here are wrong. The only option that would have been correct is 0.
Since 4 + 7 + 1 + -12 + 0 = 0
Maybe the complete question has 0 as the fourth option. Use that.
A delivery company has 18 vehicles in its fleet.
It has 8 vans and 10 trucks.
All 18 vehicles are on the road every working day.
The company is reviewing its fuel expenses and therefore
gathers some information about each type of vehicle.
Average distance Average distance
Type of vehicle
travelled ber day (in km) travelled per litre (in km) All the vehicles use the
Van
198
9
same type of fuel at
£1.29 per litre.
Truck
620
6.2
Use this information to work out the total fuel bill for 1 working day.
You must show all your working.
Answer: £1517.04
Step-by-step explanation:
The fuel expenses for the vans will be calculated as:
Vans:
Since the average distance travelled per day is 198km and the average distance travelled per litre is 9km, the van would use:
= 198/9
= 22 litres
Since there are 8 vans, they'll use:
= 22 × 8 = 176 liters
Trucks:
Since the average distance travelled per day is 620km and the average distance travelled per litre is 6.2km, the truck would use:
= 620/6.2
= 100
Since there are 10 trucks, they'll use:
= 100 × 10 = 1000 liters
The amount of liters for both the van and the truck will be:
= 176 liters + 1000 liters
= 1176 liters
The fuel cost will then be:
= 1176 × 1£1.29
= £1517.04
Pls help I need a good grade
Answer:
y=3/2x
Step-by-step explanation:
Slope is 3/2 and starts at the origin.
Is 6z-2z+4 and 4+2z-6z equivalent?
-7k + 3(-2k + 5)
What’s the answer
Answer:
if it's asking to simplify the expression: -13k + 15
Step-by-step explanation:
-7k + 3(-2k + 5)
-7k -6k + 15
-13k + 15
Answer:
−13+15
Step-by-step explanation:
Find the IQR of the data in the box plot below
Answer:
3
Step-by-step explanation:
Select all the equations that have 9 as a solution.
Answer: could I see the equtions pls
Step-by-step explanation:
Answer:
are you going to show the equation?
Step-by-step explanation:
