Answer:
The volume of cone changing at rate [tex]\frac{400}{3}\pi in^3/s[/tex]
Step-by-step explanation:
Let r be the radius of cone and h be the height of cone
[tex]\frac{dr}{dt}=2 in/s[/tex]
[tex]\frac{dh}{dt}=-4 in/s[/tex]
We have to find the rate at which the volume of cone changing when r=10 in and h=20 in
Volume of cone
[tex]V=\frac{1}{3}\pi r^2 h[/tex]
Differentiate w.r.t t
[tex]\frac{dV}{dt}=\frac{1}{3}\pi (2rh\frac{dr}{dt}+r^2\frac{dh}{dt})[/tex]
Substitute the values
[tex]\frac{dV}{dt}=\frac{1}{3}\pi(2\times 10\times 20\times 2+(10)^2\times (-4))[/tex]
[tex]\frac{dV}{dt}=\frac{1}{3}\pi(400)=\frac{400}{3}\pi in^3/s[/tex]
Hence, the volume of cone changing at rate [tex]\frac{400}{3}\pi in^3/s[/tex]
please help asap !!
the answer is 5/12....
i think thats correct
In Melanie's Styling Salon, the time to complete a simple haircut is normally distributed with a mean of 25 minutes and a standard deviation of 4 minutes. The slowest quarter of customers will require longer than how many minutes (to the nearest tenth) for a simple haircut?
Answer:
Longer than 27.7 minutes.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 25, \sigma = 4[/tex]
The slowest quarter of customers will require longer than how many minutes (to the nearest tenth) for a simple haircut?
Longer than the 100 - 25 = 75th percentile of times, which is X when Z has a pvalue of 0.75. So X when Z = 0.675. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.675 = \frac{X - 25}{4}[/tex]
[tex]X - 25 = 4*0.675[/tex]
[tex]X = 27.7[/tex]
So
Longer than 27.7 minutes.
what is the square root of 430
Answer:
√430 or 20.74
Step-by-step explanation:
√430
Prime factorize 430
√2 · 5 · 43
There are no pairs to take out of the root, so the most simplified form of √430 is √430.
If you want the decimal form, it is 20.74
Please mark me Brainliest :)
I GIVEE BRAINLILSTTTT6TTTT
Answer:
,mbn ,bmnbb
Step-by-step explanation:
nnbn bn bn
If the Mona Lisa is 2 1/2 feet by 1 3/4 feet and they want to put it on a 11 x 9 notebook what is the scale factor
when the pitcher throws the ball it will travel 10 meters per second how long will it take for the ball to reach the hitter?
part 2
the hitter hits the ball back to the pitcher, the pitcher catches it it takes one second for the ball to reach the pitcher how fast was the ball traveling?
Answer: travel speed is = 10 m/sec
so for 20 meter = 20/10 = 2 sec
Step-by-step explanation:
Jenna is at a fair with four friends. They all want to ride the roller coaster, but only three people can fit in a car. How many different groups of three can the five of them make
Answer:
They can make 10 different groups of three.
Step-by-step explanation:
The order in which the people are in the car is not important, so we use the combinations formula to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
How many different groups of three can the five of them make?
Combinations of 3 from a set of 5. So
[tex]C_{5,3} = \frac{5!}{3!(5-3)!} = 10[/tex]
They can make 10 different groups of three.
B. Mason put sticky notes on some pages of his math book. The page numbers form this sequence: 3, 5, 8, 13, 21, 34, ... Describe the rule for the sequence.
Answer:
It goes up one number counting each time
Step-by-step explanation:
3 4 5 2 one cap
5 8 13 two cap
For what value of a does
9 = (1/27) a+3
Answer: a = 162
Step-by-step explanation:
Answer:
a=162
Step-by-step explanation:
If a pound of barley costs $8, how many ounces can be bought for $2.55?
Answer: I believe the answer would be 5.1 ounces...
Step-by-step explanation:
To get this answer I used a proportion and transformed pounds into ounces. 1lb=16oz
x/16= 2.55/8
Cross multiply....
8x=40.8
And simplify!
x=5.1
So for $8 you can get a pound, for $2.55 you can get 5.1 ounces (or 5 ounces if needed in whole numbers)
Hope this helps! Good luck! (:
One year, the population of a city was 160,000. Several years later it was 140,800. Find the percent decrease.
Answer:
Percent decrease in population = 12%
Step-by-step explanation:
Given that:
Population of city = 160,000
Population of city after several years = 140,800
Difference= 160000 - 140800 = 19200
Percent decrease = [tex]\frac{Difference}{Population} * 100[/tex]
Percent decrease = [tex]\frac{19200}{160000}*100[/tex]
Percent decrease = 0.12 * 100
Percent decrease = 12%
Hence,
Percent decrease in population = 12%
What is the center of the circle with equation x^2 + y^2 - 10x +6y-2= 0
Answer:
C(5, -3)
Step-by-step explanation:
Given the equation of circle;
x² + y² - 10x + 6y - 2 = 0
The general equation for a circle is given by the formula;
x² + y² + 2gx + 2fy + c = 0
Where the center is C(-g, -f)
To find the center, we would compare the two equations;
For the value of g.
2gx = -10x
2g = -10
g = -10/2
g = -5
To find the value of f.
2fy = 6y
2f = 6
f = 6/2
f = 3
Therefore, the center C(-g, -f) = (-(-5), -(3))
C(-g, -f) = C(5, -3).
An elevator can carry up to 2500 pounds. Suppose the weight is 150 pounds. At most how many average-sized adults can safely ride the elevator at the same time? Write an inequality and solve. Let p represent the number of people who can safely ride the elevator.
Answer:
How much do the adukts weigh?
Step-by-step explanation:
Are 3(h+4) and 3h + 12 equivalent? Explain using the table from Question 4.
Picture of question 4
A researcher is testing a new painkiller that claims to relieve pain in less than 15 minutes, on average.a.State the hypotheses associated with the researcher's test. (2 points)
Answer:
I have a feeling it won't be exactly 15 minutes but it'll be around that time, if it's true.
Step-by-step explanation:
Which equation can be used to solve the problem?
10 is 50 percent of what number?
Answer:
x*50%=10
Step-by-step explanation:
x*50%=10
/50% /50%
x=20
10 is 50 percent of what number? StartFraction 10 divided by 1 Over 50 divided by 1 EndFraction = StartFraction 10 Over 50 EndFraction StartFraction 100 times 2 Over 50 times 2 EndFraction = StartFraction 200 Over 100 EndFraction
Simplify 8(x-3)-4(2x-7)
Answer:
Your solution is 4.
Step-by-step explanation:
Part A
The length (l) of a rectangular box is 5 centimeters more than twice its width (w).
Write an equation to represent the length of the rectangular box.
Part B
Find the length of the box if its perimeter is 100 centimeters.
Answer:
length of rectangular box = 2[w] + 5
length of rectangular box = 35 cm
Step-by-step explanation:
Given:
length (l)
width (w)
Perimeter = 100 centimetre
Computation:
Part A;
length of rectangular box = 2[width] + 5
length of rectangular box = 2[w] + 5
Part B;
Perimeter = 2[l+w]
100 = 2[2w + 5 + w]
100 = 6w + 10
w = 15 cm
length of rectangular box = 2[w] + 5
length of rectangular box = 2[15] + 5
length of rectangular box = 35 cm
Select all the expression that have a value greater than 1,653
Step-by-step explanation:
* 1,653 x 4 = 6612
* 1,653 x 13 = 21489
* 1,653 x 1 1/2 = 2479.5
I hope it helps.
Grace scored n points in her first basketball game of the season. She scored 8 more points in her second game than in her first, 3 fewer points in her third game than in her second, and 11 more points in her fourth game than in her third, scoring a total of 25 points in her fourth game. How many points did Grace score in her first game?
Answer:
Grace scored 9 points in her first game.
Step-by-step explanation:
In her first game, she scored n points.
She scored 8 more points in her second game than in her first
So n + 8.
3 fewer points in her third game than in her second
So n + 8 -3 = n + 5
11 more points in her fourth game than in her third
n + 5 + 11 = n + 16
A total of 25 points in her fourth game.
This means that:
n + 16 = 25
n = 9
So
Grace scored 9 points in her first game.
PLEASE HELP ME PLEASE
I will give brainiest to whoever answers correctly !!
Please do not steal my points I'm tired of it put a legit answer or leave!! I will give brainiest to whoever answers correctly!!
Answer:
Your image wont load IM SO SORRY:(
Step-by-step explanation:
The following triangles are similar. Find x
Answer:
15
Step-by-step explanation:
if 3x3 is 9 and 4x3 is 12 then 5x3 is 15
Heeelllllpppp due Monday I give I suck at math??
Answer:
13.125
Step-by-step explanation:
Since the triangles are congruent, you would get the equation 4z-7=11z-112.
Then, you would subtract 4z from each side, leaving behing -7=8z-112. Then, you would add 112 to each side, getting 105=8z. Divide both sides by 8, and your answer is z=13.125
Please help me I will offer 20 points
Answer:
9.3 x 8.5 = 79.05
7.6 x 2.4 = 18.24
an easier way to multiply decimals is to take away decimals and add later
example: 9.3x8.5 > 93x85 = 7905 since there are two places behind the decimal add that many to the solution 7905 > 79.05
WILL give brainleist to the right answer
can someone please help
Simplify -6(a +8) can someone help me with that with the steps included
Answer:
−6(a+8)
=(−6)(a+8)
=(−6)(a)+(−6)(8)
=−6a−48
Step-by-step explanation:
multiply -6 x a to get -6a and multiply -6 x 8 to get -48 so -6a-48
Solve the system by graphing. Tell whether the system has one solution, infinitely many solutions, or no solution.
y-x=4
2y=2x + 8
infinitely many solutuinsAnswer:
Step-by-step explanation:
(a) Which of the following surveys probably would best represent the entire
population of seniors?
50 student council members are randomly selected; 44 plan to go to a 4-year
college.
O 50 seniors are randomly selected; 34 plan to go to a 4-year college.
50 honor roll students are randomly selected from the senior class; 42 plan to
go to a 4-year college.
Answer:
c
Step-by-step explanation:
i took the quiz
