1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
rusak2 [61]
3 years ago
6

Help me pleaseeeee I will give brainleist

Mathematics
1 answer:
Rasek [7]3 years ago
3 0
-63/5 would be the answer
You might be interested in
Diagram 5 shows a right cylinder with a diameter of 2xcm. Given that the total surface area of the cylinder is 96cm³.Find the ma
Paraphin [41]

Given:

The diameter of the right cylinder is 2x cm.

The total surface area is 96 cm cube.

The radius is calculated as,

\begin{gathered} r=\frac{d}{2} \\ r=\frac{2x}{2} \\ r=x\text{ cm} \end{gathered}

The total surface area is,

\begin{gathered} S=2\pi rh+2\pi(r)^2 \\ 96=2\pi xh+2\pi(x^2) \\ h=\frac{96-2\pi(x^2)}{2\pi x} \end{gathered}

Volume is,

\begin{gathered} V=\pi(r)^2h \\ =\pi(x^2)\frac{96-2\pi(x^2)}{2\pi x} \\ =\frac{x(96-2\pi(x^2)}{2} \end{gathered}

Now, differentiate with respect to x,

\begin{gathered} \frac{dV}{dx}^{}=\frac{d}{dx}(\frac{x(96-2\pi(x^2)}{2}) \\ =\frac{d}{dx}\mleft(x\mleft(-\pi x^2+48\mright)\mright) \\ =\frac{d}{dx}\mleft(x\mright)\mleft(-\pi x^2+48\mright)+\frac{d}{dx}\mleft(-\pi x^2+48\mright)x \\ =1\cdot\mleft(-\pi x^2+48\mright)+\mleft(-2\pi x\mright)x \\ =84-3\pi(x^2)\ldots\ldots\ldots\ldots\text{.}(1) \end{gathered}

Now,

\begin{gathered} \frac{dV}{dx}=0 \\ 84-3\pi(x^2)=0 \\ x^2=\frac{16}{\pi} \\ x=\sqrt[]{\frac{16}{\pi}} \end{gathered}

Now, differentiate (1) with respect to x again,

\begin{gathered} \frac{d^2V}{dx^2}=\frac{d}{dx}(84-3\pi(x^2)) \\ =-6\pi x \\ At\text{ x=}\sqrt[]{\frac{16}{\pi}} \\ \frac{d^2V}{dx^2}=-6\pi\sqrt[]{\frac{16}{\pi}}

Since, the double derivative is negative.

So,\text{ the volume is maximum at }\sqrt[]{\frac{16}{\pi}}

So, the volume becomes,

\begin{gathered} V=\pi(x^2)h \\ V=\pi(\sqrt[]{\frac{16}{\pi}})^2h \\ V=\frac{16h}{\pi} \end{gathered}

Answer: maximum volume of the cylinder is,

6 0
1 year ago
Solve using Elimination method 2x-y=6 and x+y=6 ​
Veseljchak [2.6K]

Step-by-step explanation:

2x-y=6 --------(1)

x+y=6 -------(2)

_____ Adding (1) and (2)

3x = 12

x=4

Substitute x on equation (2)

4+y=6

y=2

8 0
2 years ago
Heather's grandmother is 5 times as old as Heather. If her grandmother is 5 points
Sloan [31]
85 \5 =17 so heather is 17
5 0
3 years ago
You want to save ₹1,17,000 to buy your first self-driving magic carpet. You deposit ₹90,000 in a bank at an interest rate of 6 %
satela [25.4K]

Answer:

4.50 yr

Step-by-step explanation:

I assume that this is compound interest.

The compound interest equation is

A = P(1+ \frac{r }{ n})^{nt}

You don't give the frequency of compounding, so I assume that it is once per year.

Data:

A = ₹117 000

P = ₹90 000

r = 6 % = 0.06

n = 1

Calculations:

117 000 = 90 000(1+ \frac{0.06 }{ 1})^{1 \times t}

117 000 = 90 000(1+ 0.06)^{t}

Divide each side by 90 0000

1.3 = 1.06^{t}

Take the logarithm of each side

log1.3 = tlog1.06

0.1139 = 0.025 31t

Divide each side by 0.025 31

t = 4.50 yr

You can buy your magic carpet in 4.50 yr.

3 0
3 years ago
Read 2 more answers
Describe the PERIMETER of a figure. PLS I NEED HELP WITH THIS QUESTION
Igoryamba

Answer:

ummmm I don't know if this is what you mean but a perimeter is the length and width around the edge of a figure

5 0
3 years ago
Other questions:
  • 4. Find each quotient. a.18/-3 b.-5/-1 c.24/-6 d.-10/-1 e.-25/5 f.8/-2
    15·1 answer
  • A family room has a circular rug with a radius of 7 m .
    10·1 answer
  • Which shape has opposite sides that are both equal in length and parallel and always has four right angles? A. triangle B. recta
    13·1 answer
  • What is a multiplacation problem where the answer is .05 to .75
    6·2 answers
  • Which statements are true regarding the prism? Check
    9·2 answers
  • At camp 32 children are swimming, 25 are fishing and 28 are canoeing. How many children are swimming, fishing or canoeing?
    11·2 answers
  • Can y’all please help. I will send points if you want me to.
    5·1 answer
  • Answer this please! No links please
    5·1 answer
  • Please help (picture is below)
    5·1 answer
  • Write the rate as a fraction in the simplest form $1680 for 8 weeks 236 miles on 12 gallons of gasoline
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!