Given :
A cylindrical tank with radius 3m is being filled with water at a rate 4m³/min.
To Find :
How fast is the height of the water increasing.
Solution :
We know, volume of cylinder is given by :
[tex]V = \pi r^2h[/tex] ....1)
Also, we have given that, [tex]\dfrac{dV}{dt} = 4 \ m^3/min[/tex] .
Differentiating equation 1) w.r.t t we get :
[tex]\dfrac{dV}{dt} =3^2 \pi \dfrac{ dh }{dt}\\\\\dfrac{dh}{dt} = \dfrac{4}{3^2 \times \pi}\\\\\dfrac{dh}{dt} = 0.141 \ m/min[/tex]
Therefore, the height of water is increasing at a rate of 0.141 m/min.
HELP I HAVE 3 MINUTES!!
Answer:
3.92$
Step-by-step explanation:
Answer:
the tax is 3.92
Step-by-step explanation:
the total is: 94.08
Find the value of x. please show step by step process.
Answer:
x=44
Step-by-step explanation:
alright to make this easy we have to find out all of the angles values. If you see those little lines, then they are indicating that the opposite angles are similar. so angles b and d are equal to 34. in order for a triangle to be true all of the angles added up have to equal 180 so to find the last angle we do 180 -34 -34 which equals 112. That is the angle of c on the bottom triangle. The angle next to is is suplementary meaning that those two angles added together will equal 180. If one angle is 112 we just subtract 112 from 180 to get the other angle which is 68. Once again we have the two little lines indicating that the two angles are the same. Again we do 180 - 68 - 68 which is 44. Therefore x =44
Is "The radio's sound died down" a metaphor, personification, onomatopoeia, or oxymoron answer quick
Answer:
I think personification
Step-by-step explanation:
y varies directly as X. If X=2 and y=10. Find Y when X=7
Answer:
y= 35
Step-by-step explanation:
y directly proportional to x
where x= 2, y= 10
y=kx
10= k× 2
k= 10/2
k= 5
to find y when x is 7
y = kx
y = 5× 7
y= 35
In the equation y =1/x find y if x= 2/3 and -3/5
Answer:
1) y = 3/2
2) y = -5/3
Step-by-step explanation:
If x = 2/3, y = 3/2
If x = -3/5, y = -5/3
Need help plssss????
Graph the line with the equation y = 1/6x+3
Step-by-step explanation:
There isnt even a graph shown to graph on lol
Write an equation in slope-intercept form y = mx + b of a line with a slope of 3/4
and a y-intercept of -2. *
Answer:
y=3/4x-2
Step-by-step explanation:
If a city has a population of 500,000 and the population has been rising 3% each year, what will the population be in 13 years?
Answer:
19,500,000 hope it helps.
Step-by-step explanation:
please help this is due soonnnnnnn
Answer:
-[tex] \frac{1}{ \sqrt{3x^{2} } } [/tex]
Hope this helps give brainlist
Plz help me with this!!!
Answer:
Angle Bisector.
Step-by-step explanation:
Okay.
SU is the line across the triangle.
It isn't perpendicular because it will meet the lines eventually.
Median is a number.
I believe It's the Angle Bisector, but i'm going off of a gut feeling.
A persons heart rate is typically between 60 seconds and 100 beats Noah looks at his watch and counts 8 beats and 100 beats
Answer:
Where is the question? im happy to answer.
Step-by-step explanation:
-1.76 x 1/4 x (-3.6)
Answer:
1.584
Step-by-step explanation:
can yall help me with this one WILL GIVE BRAINLIEST
Answer:
c=12
Step-by-step explanation:
Which triangle cannot be used to find the slope of the line?
Answer:
D
Step-by-step explanation:
It doesn't follow the rise over run rule
......... ..........
Answer:
I believe it’s 96
Step-by-step explanation:
Hope I helped a little
Write an equivalent expression to 3x + 6 + 4x + 2 by combining like terms.
Answer:
3x + 6 + 4x + 2 = 7x+8
Step-by-step explanation:
Which function transforms the graph of y = x2
so that it is first shifted down
2 units and is then reflected across the x-axis?
Answer:
-x^2+2
Step-by-step explanation:
Got this on the test
a) Expand and simplify.
9(x - 3) - 2(x-4)
Simplify
(9x-27)-(2x+8)
Answer:
7x−19 . 9(x−3)
Step-by-step explanation:
help!!!!!! i need help on this question can someone tell me what to do?
!!!!!!!!WILL MARK BRAINLIEST!!!!!!!!!!!! A school board is interested in whether high school students would like to shift the school day forward by 30 minutes. They decide to conduct a survey and randomly select students who are involved in extracurricular activities. Which statement is true? A. The survey results are most at risk for nonresponse bias. B. The survey results are most at risk for undercoverage. C. The survey results are most at risk for students not being able to answer honestly. D. The survey results are not at risk for any bias.
Based on the information given, the survey results are most at risk for undercoverage.
In this case, the right sample of the students to be collected should have been the high school students. Every student ought to have an equal chance of being picked.
Selection of those that are involved in extracurricular activities shows bias. Therefore, this will bring about an undercoverage.
In conclusion, the correct option is B.
Read more on:
https://brainly.com/question/23420972
please help me it not hard
Answer:
Blue
Step-by-step explanation:
I used a graphing calculator called Desmos.
2*10⁴-7³= please help
Answer:
19657
Step-by-step explanation:
By PEMDAS, we know we have to calculate the exponents first, then multiply the 2, and then subtract the 7³
2*10⁴ = 20000
20000 - 7³ = 19657
What is the area of the regular heptagon shown below? (Round your answer
to the nearest whole number.)
231
22.15
A. 3566 sq. units
B. 1528 sq. units
C. 1783 sq. units
D. 3057 sq. units
y’all help please
Answer:
C
Step-by-step explanation:
A heptagon is a polygon with 7 triangles. (a)
Thus, The area (A) will be = 7a
[tex]The \ area \ of \ \ triangle \ = (1/2) \times b \times h[/tex]
where;
b = base
h = height
So;
[tex]7a = \dfrac{1}{2}(bh)[/tex]
where;
b = 22.15 unit and h = 23 unit
∴
[tex]A = \dfrac{7 \times b \times h}{2} \\ \\ A = \dfrac{7 \times 22.15 \times 23}{2} \\ \\ A = 1783.07 \ sq. units \\ \\ A \simeq 1783 \ sq. units \\ \\[/tex]
Answer:
1783
Step-by-step explanation:
simplify the following 7 x 7^4
Answer:
2401
Step-by-step explanation:
7 x 7 to power of 4
7 x 7 x 7 x 7
=2401
Answer:
Step-by-step explanation:
Here you go mate
Step 1
7 x 7^4 Equation
Step 2
7 x 7^4 simplify
7x7x7x7x7
step 3
7x7x7x7x7 multiply
answer
16807
can somebody help me ?
Please help asap!! I will mark you as brainliest :)
Answer:
$12,75
Step-by-step explanation:
9+4+2=15
15/100=0,15
100-15=85
85*0,15=12,75
Answer :
9+4+2+15% tip= $17.25 total
but the tip is $2.25
Step-by-step explanation:
some soiled goods are sold for 2 /5 of their original price. what will be the selling price of a pair of trouser originally Costing#850.00
Answer:
The selling price of the goods is #340.00
Step-by-step explanation:
Given;
original price, P = #850.00
the new cost = 2/ 5 of the original price
The selling price of the goods is calculated as follows;
[tex]= \frac{2}{5} \ \times \#850\\\\ = \# 340[/tex]
Therefore, the selling price of the goods is #340.00
SUPER EASY I JUST DON’T UNDERSTAND HOW TO SHOW MY WORK PLEASE HELP. It is just one problem. PLEASEEE
Complete the problem using the following steps to find the factored form of the polynomial.
1. Find all possible rational roots.
2. Use Descartes' rule of signs to determine the possible number of positive, negative, and
complex roots.
3. Use synthetic division and the quadratic formula to find all roots.
4. Write the polynomial in factored form.
Show ALL work for your steps.
f(x) = x^3 - 4x^2 - 3x + 12
Please help.
There are five sign changes, so there are five or, counting down in pairs, three or one negative solutions. Then my answer is:There are two or zero positive solutions, and five, three, or one negative solutions.In the above example, the maximum number of positive solutions (two) and the maximum number of negative solutions (five) added up to the leading degree (seven). It will always be true that the sum of the possible numbers of positive and negative solutions will be equal to the degree of the polynomial, or two less, or four less, or....This can be helpful for checking your work. For instance, if I had come up with a maximum answer of "two" for the possible positive solutions in the above example but had come up with only, say, "four" for the possible negative solutions, then I would have known that I had made a mistake somewhere, because 2 + 4 does not equal 7, or 5, or 3, or 1
There are four, two, or zero positive roots, and zero negative roots.
Descartes' Rule of Signs can be useful for helping you figure out (if you don't have a graphing calculator that can show you) where to look for the zeroes of a polynomial. For instance, suppose the Rational Roots Test gives you a long list of potential zeroes, you've found one negative zero, and the Rule of Signs says that there is at most one negative root. Then you know that you've found every possible negative root (rational or otherwise), so you should now start looking at potential positive roots.Similarly, if you've found, say, two positive solutions, and the Rule of Signs says that you should have, say, five or three or one positive solutions, then you know that, since you've found two, there is at least one more (to take you up to three), and maybe three more (to take you up to five), so you should keep looking for a positive solution.
 help pleaseeeeee !!!! i’ll give brainliest !