Answer:
1014.73 in³/s
Step-by-step explanation:
We know the volume of a cylinder, V = πr²h where r = radius of cylinder and h = height of cylinder.
Now, to find the rate of change of volume, we differentiate it with respect to time. So
dV/dt = d(πr²h)/dt
= πhdr²/dr × dr/dt + πr²dh/dh × dh/dt
= 2πrh × dr/dt + πr² × dh/dt
when r = 17 in, dr/dt = rate of change of radius = + 7 in/s, h = 5 in and dh/dt = rate of change of height = - 3in/s (negative since it is decreasing).
So, dV/dt = 2πrh × dr/dt + πr² × dh/dt
= 2π × 17 in × 5 in × (+ 7 in/s) + π(17 in)² × (- 3 in/s)
= 1190π - 867π
= 323π in³/s
= 1014.73 in³/s
Paul cut a rectangular piece of paper. He then cut off a semi-circular piece from each end, as shown below. What is the area of the remaining paper? Use 3.14 for
Step-by-step explanation:
Area of remaining paper
= Area of rectangle - 2 * Area of semicircle
= Area of rectange - Area of circle
= (4in * 8in) - (π * 2in * 2in)
= 32in² - 4πin²
= 19.44in². (A)
Find x given Circle P.
PLEASE HELP !!!
Answer:
360 - 60 = 300
x = 300
Step-by-step explanation:
1.
We want to solve the following system of equations using the substitution method.
Equation 1
y = 4x + 17
Equation 2
y = 2x + 7
First solve for x.
Answer:
2x + 7= 4x + 17
x=−5
I need help on this subject
Answer:
D (3,-4)
Step-by-step explanation:
i graphed it on desmos lol
Please help me find the value of x the answer must be exact
Answer:
[tex]x=11[/tex]
Step-by-step explanation:
This is a 45°-45°-90° triangle. The two legs are the same length, and the hypotenuse is that length times the square root of two:
[tex]leg=x\\hypotenuse=x\sqrt{2}[/tex]
Therefore, the value of x is 11.
You can double-check using the sine ratio:
[tex]sineX=\frac{opposite}{hypotenuse}[/tex]
Insert the values:
[tex]sin45=\frac{x}{11\sqrt{2} }[/tex]
Insert the equation into a calculator:
[tex]x=11[/tex]
:Done
*It's important to know that, when working with trigonometry ratios, the hypotenuse is never considered the adjacent or opposite side, and the 90° angle is never used in the ratios.
Simplify to create an equivalent expression
(4+2k)•6+3k=
Answer:
24+15k=
Step-by-step explanation:
First we multiply the 6 to the numbers in the parentheses, so 4x6=24, and 2x6=12, making the expression look like this: 24+12k+3k=
Then we combine like terms, which would be the number that are attached to 'k'. So that makes the expression look like this: 24+15k=
I'm not sure what else you're suppose to do to create a new expression since there's nothing on the other side of the equal sign, but that's as much as the expression will simplify.
someone pls help me 10 points
I can do your homework for you
Answer:
thanks for the free points
Step-by-step explanation:
Answer:
can u answer these ones
Step-by-step explanation:
UMS Grade 7 Math CUA- Unit 4 / 6 of 10
A garment is on sale for 35% off the regular price. If the regular price is $48.80, then what is the sale price?
O A $16.27
O B. $17.08
OC. $31.72
O D. $32.53
PLEASE HURRY IM DOING THE TESTTT NOWWWW
A: 70x+30=20x+50
B: 70x-30=20x-50
C: 70+30x=20+50x
D: (70+30)x=(20+50)x
it d probably think it's d
PLEASE HELP!!!! will give brainliest!!!!
Answer: A Good luck :)
please help i’ll mark brainliest
A group of friends hires a bus for a day for
$480, agreeing to share the cost equally. At
the last minute, two more people decide to go
on the trip, and as a result each person pays
$8 less.
How many people go on the trip and how much
does each person pay?
Step-by-step explanation:
i think 52 people was there cause 8×60=480 and you said that in the last minute two more people decide to go so i added two more and 52 people was the result
5j-5= 5
----
j5 true or false
Convert -2x+6y=-24 to slop intercept form
Answer:
y= 1/3x - 4
Step-by-step explanation:
hope this helps
Each month, Mrs. Donovan sets aside $1,550 for her retirement. Her monthly income, including profits from her bakery, totals $3,875. What percentage of her income goes to retiremen
Answer:
40%
Step-by-step explanation:
1550 / 3875 = 0.4 = 40%
please help me my brain is to small for dis I need da right answer
Answer:
it is in its simpliest form there are no equivalent expressions because all factors are odd numbers
Step-by-step explanation:
pls give me brainliest
The marked price of a watch is Rs.2700. If the percentage of discount given on marked price is twice of the percentage of VAT and the value of the watch after adding VAT is Rs.2376.Find the rate of VAT
Answer:
24%
Step-by-step explanation:
Step one:
given data
The marked price of a watch is Rs.2700
The value of the watch after adding VAT is Rs.2376
let us find the discount
= 2700-2376
=324
then the percentage discount is
=324/2700*100
=0.12*100
=12%
The VAT is twice the discount, the VAT is 12*2= 24%
Mr. Martin and his son, Luke, decide to walk a 12
kilometer trail. Mr. Martin takes a 1-hour head start and
walks at a pace of 3 km/hr. Explain how fast Luke should
walk to reach the end of the trail in 3 hours, the same time
as Mr. Martin.
Answer:
4km/h
Step-by-step explanation:
we have the dad walking 3 km per hour but he had a headstart menaing he has 4 hours to do it, 3 times 4 is 12. now we have the son doing 12 kilometers in 3 hours so we divide 12 by 3 meaning he has to be going at a pace of 4 km per hour.
Answer:
It will take Mr. Martin 4 hours to walk the trail, and Luke should walk faster than Mr. Martin. Using the equation 12 = (3)(x), Luke should walk 4 km/hr to finish the trail in 3 hours.
Step-by-step explanation:
This is the sample on Edge.
Hope this helped!! :)
Brainliest?!?!
Stay safe and have a wonderful day/afternoon/night!!!
1. What is the slope of a line that is perpendicular to the x-axis
Answer:
The slope of a line that is perpendicular to the x-axis is undefined.
Step-by-step explanation:
We know that the x-axis is a horizontal line.
We also know a line that is perpendicular to the x-axis is basically a vertical line.As the slope of a perpendicular line is undefined because no matter what the value of y is, the x-value remains the same.Therefore, the slope of a line that is perpendicular to the x-axis is undefined.
For example, the slope between (1, 2) and (1, 4) is:
Using the slope formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [4 - 2] / [1 - 1]
= 2 / 0
= ∞
What is the area of the figure below?
Answer:
3 x 3 = 9 + 3 x 3 = 9 which would be 18, then add 7 and 3 which would be 10 then multiply it by 5 which would be 50 then divided by 2 and you would get 25 add 25 two times which would be 50 once you do, you add the 18 which would be 68 in square.
Step-by-step explanation:
The sales tax for an item was $36.90 and it cost $410 before tax. Find the sales tax rate. Write your answer as a percentage.
Answer:
36.90/410 = 0.09
0.09 X 100 = 9%
To factor a[tex]x^{2}[/tex]+bx+c, you have to group it as (a[tex]x^{2}[/tex]+ux)+(vx+c) so that uv=ac and u+v=b. Both addition and multiplication are commutative, so how do you determine which value is assigned to u and which to v? Or are they interchangeable?
For example, let's expand out (x+3)*(2x+1). Use of the FOIL rule should get to you 2x^2 + 7x + 3.
Now imaging that you handed 2x^2 + 7x + 3 to a friend to be factored. They do not know the factorization yet.
They would see that a = 2, b = 7, c = 3.
The friend needs to find two numbers u,v such that they multiply to a*c = 2*3 = 6 and add to b = 7
Through trial and error (I recommend making a table of values), your friend would get
u*v = 1*6 = 6u+v = 1+6 = 7But as you mentioned, your friend could easily swap the order of addition and multiplication to say
u*v = 6*1 = 6u+v = 6+1 = 7----------------------
If we go with the first option, then the factor by grouping looks like this
2x^2 + 7x + 3
2x^2 + 1x + 6x + 3 ... break up 7x into 1x+6x
(2x^2+1x) + (6x+3) .... group up the terms into pairs
x(2x+1) + 3(2x+1) .... factor each grouping
(x+3)(2x+1) ..... factor out the overall GCF
---------------------
Or we could have the factor by grouping looks like this
2x^2 + 7x + 3
2x^2 + 6x + 1x + 3 ... break up 7x as 6x+1x
(2x^2+6x) + (1x+3)
2x(x+3) + 1(x+3)
(2x+1)(x+3)
(x+3)(2x+1)
We end up with the same factorization.
Pls help and show workings pls
It due ASAP
please
Answer:
C. ASA
Step-by-step explanation:
2 sides & 2 angles are equal as given.
Other 2 angles are equal on basis of vertical angles
Please help, thank you! What is the difference between the probabilities of 4/4 and 100%?
(no choices)
Answer:
There is no difference
Step-by-step explanation:
because they are both equal to a 100% chance of that makes sense
hope that helps:)
Tyesha has x feet of wood for a project. She has lengths of wood that are 7 1/2 feet, 5.25 feet, and 6 3/4 feet long. What is the total length of wood she has for this project?
What is the distance between the points? Round to the nearest tenth if necessary
Answer:
5
Step-by-step explanation:
Pythagorean Theorem States: [tex]x^{2} +b^{2} = c^{2}[/tex]
[tex]3^{2} + 4^{2} = c^{2}[/tex]
9+16=25
[tex]\sqrt{25}[/tex]=5
Jose has 3/5 kilograms of peppermints and 2/3 kilograms of of candy canes how much candy dose he have
Suppose that 8 machines can complete a certain task in 9 days. if there are 18 machines, how many days would it take for them to finish the same task?
Answer:
It would require 4 days.
If there are 18 machines. Then the number of days would it take for them to finish the same task will be 4 days.
What is Algebra?Algebra is the study of graphic formulas, while logic is the interpretation among those signs.
Time is inversely proportional to the number of the machines.
T ∝ 1/M
If the proportionality is removed, then a constant k is introduced.
Suppose that 8 machines can complete a certain task in 9 days.
Then the amount of the total work that is k will be
k = 8 x 9
k = 72
If there are 18 machines.
Then the number of days would it take for them to finish the same task will be
T = 72 / 18
T = 4 days
The number of days would it take for them to finish the same task will be 4 days.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
15 pointsss
The wholesale price of a dress at Macy's is $250 before they markup the product by 3/4. Sally, a customer, purchases the dress using a coupon giving her 1/5 off of the dress. How much does she pay after markup and discount is applied?
A. $200
B. $87.50
C. $250
D. $350
What is the length of segment TR with T(-4,5) and R(2, -1)
Answer:
The length of segment TR with T(-4,5) and R(2, -1) is 8.49
Step-by-step explanation:
We need to find the length of segment TR with T(-4,5) and R(2, -1)
The length of segment can be found using distance formula.
The distance formula is: [tex]Distance = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Putting values and finding length
We have: [tex]x_1=-4, y_1=5, x_2=2, y_2=-1[/tex]
[tex]Distance = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Distance = \sqrt{(2-(-4))^2+(-1-5)^2}\\Distance = \sqrt{(2+4)^2+(-1-5)^2}\\Distance = \sqrt{(6)^2+(-6)^2}\\Distance = \sqrt{36+36}\\Distance = \sqrt{72}\\Distance=8.49[/tex]
We found Distance = 8.49
So, The length of segment TR with T(-4,5) and R(2, -1) is 8.49.