Can someone help me please ?

The volume of the cylinder is the amount of fruit juice it can contain.

The relationship between the volume and the surface area is:

[tex]\mathbf{A = \pi (\sqrt[3]{\frac{V}{2\pi}})^2 + \frac{0.946}{(\sqrt[3]{\frac{V}{2\pi}})}}[/tex]

The given parameter is:

[tex]\mathbf{V = 0.946}[/tex]

The volume of a cylinder is calculated as:

[tex]\mathbf{V = \pi r^2 h}[/tex]

Make h the subject

[tex]\mathbf{h = \frac{V}{ \pi r^2}}[/tex]

The surface area (A) of a cylinder is:

[tex]\mathbf{A = \pi r^2 + \pi rh}[/tex]

Substitute [tex]\mathbf{h = \frac{V}{ \pi r^2}}[/tex]

[tex]\mathbf{A = \pi r^2 + \pi r \times \frac{V}{\pi r^2}}[/tex]

[tex]\mathbf{A = \pi r^2 + \frac{V}{r}}[/tex]

Differentiate

[tex]\mathbf{A' = 2\pi r - Vr^{-2}}[/tex]

Set to 0

[tex]\mathbf{2\pi r - Vr^{-2} = 0}[/tex]

Rewrite as:

[tex]\mathbf{ 2\pi r = Vr^{-2}}[/tex]

Multiply through by r^2

[tex]\mathbf{ 2\pi r^3 = V}[/tex]

Solve for r

[tex]\mathbf{r = \sqrt[3]{\frac{V}{2\pi}}}[/tex]

[tex]\mathbf{A = \pi r^2 + \frac{0.946}{r}}[/tex]

So, we have:

[tex]\mathbf{A = \pi (\sqrt[3]{\frac{V}{2\pi}})^2 + \frac{0.946}{(\sqrt[3]{\frac{V}{2\pi}})}}[/tex]

Hence, the relationship between the volume and the surface area is:

[tex]\mathbf{A = \pi (\sqrt[3]{\frac{V}{2\pi}})^2 + \frac{0.946}{(\sqrt[3]{\frac{V}{2\pi}})}}[/tex]

Read more about surface areas and volumes at:

https://brainly.com/question/3628550

Answer:

-14.4

Step-by-step explanation:

-6x(-0.6)x(-4)= -14.4

[tex] - \frac{6(5 - 2x)}{5x} [/tex]

i hope its help

Answer: 20%

Step-by-step explanation: 600*0.20 = 120

Answer:

y-4=1x-4

Step-by-step explanation:

put in format : y2-y1=m(x2-x1)

y-4 = 1(x-4)

distribute

y-4=1x-4

Answer:

Given equation:

Solving for p:

p - any real number

We can state the initial expression is correct for any value of p.

Answer:

True for all p

Step-by-step explanation:

Given equation:

  [tex]\dfrac{3^{p+1}-3^{p}}{2 \times 3^{p}}=1[/tex]

Multiply both sides by [tex]2 \times 3^p[/tex]:

[tex]\implies 3^{p+1}-3^p=2 \times 3^p[/tex]

Add [tex]3^p[/tex] to both sides:

[tex]\implies 3^{p+1}-3^p+3^p=2 \times 3^p+3^p[/tex]

[tex]\implies 3^{p+1}=3 \times 3^p[/tex]

Rewrite 3 as 3¹:

[tex]\implies 3^{p+1}=3^1 \times 3^p[/tex]

[tex]\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^{b+c}[/tex]

[tex]\implies 3^{p+1}=3^{1+p}[/tex]

[tex]\implies 3^{p+1}=3^{p+1}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^{f(x)}=a^{g(x)} \implies f(x)=g(x):[/tex]

[tex]\implies p+1=p+1[/tex]

Subtract 1 from both sides:

[tex]\implies p+1-1=p+1-1[/tex]

[tex]\implies p=p[/tex]

Therefore as both sides are equal, true for all p.

Answer:

hence the total cost to plough the trapezium field

is Rs. 893500.50

Step-by-step explanation:

the required answer may be wrong .... but this is the way to do it....

hope this helped you...☺️

comment if any confusion

From Newton’s Second Law of Motion, the force needed to accelerate a moving object of mass m at acceleration a is given by ;

F = ma

In this case, m = 5kg, a = 6m/s^2 and we want to find F

F = 5 x 6

F = 30N

Therefore, a force of 30N is needed to accelerate a 5kg object at 6m/s^2.

Answer:

18/29

Step-by-step explanation:

The probability that a student chosen randomly from the class plays basketball or baseball is 18/29

The given parameters are:

The number of students that play basketball or baseball is:

Basketball or Baseball = Students - Neither

This gives

Basketball or Baseball = 29 - 11

Basketball or Baseball = 18

The probabilty is then calculated as:

P = Basketball or Baseball/Students

This gives

P = 18/29

Hence, the probability that a student chosen randomly from the class plays basketball or baseball is 18/29

Read more about probability at:

https://brainly.com/question/251701

Answer:

I need this in essay form......

Phaeton, who has just discovered that is he is the son of the sun god, pays a visit to his father and makes a special request. In this passage consider how the author uses literary elements such as plot and language to reinforce the theme of the dangers of pride.

Answer:

I believe its A

Step-by-step explanation:

Hope it helps

Answer:

75-82,            in Exercises 75-82, find the average rate of change of the function from x1 to x2. function f(x) = 3x +8 x-values x1=0, x2=3

Right answer but i am not conform

x = - 85

y = 52

Answer:

21.875, round as needed.

Step-by-step explanation:

1.75 * 12.5

21.875

You can also round to:

21.88

21.9

22

Just depends on what your teacher is asking

.............................

Answer:

D. 5

Step-by-step explanation:

Ok, so the number is represented by n.

n-(-5)=10.

Negative Times Negative makes Positive. The equation is now:

n+5=10

Subtract 5 from both sides.

n=5

Answer:

there is one line of symmetry if you look closely at the shape

Answer:

It is isosceles triangle because its base angles are equal .

plz mark me brainest

Answer: A. isosceles

Step-by-step explanation:

an isosceles triangle is a triangle that has two sides of equal length.

You can read about isosceles triangle more : https://en.wikipedia.org/wiki/Isosceles_triangle

please give me a brainliest answer

A= temperature column B= wind speed. Label A= wind speed label B= Temperature

Answer:

[tex]\frac{1}{\sqrt[n]{64}}[/tex]

Step-by-step explanation:

[tex]\frac{1}{\sqrt[1]{64}} =\frac{1}{64}[/tex]

[tex]\frac{1}{\sqrt[2]{64}} =\frac{1}{16}[/tex]

[tex]\frac{1}{\sqrt[3]{64}} =\frac{1}{4}[/tex]

[tex]\frac{1}{\sqrt[4]{64}} =\frac{1}{1}[/tex]

Answer:

whats the question?

Answer:

23

Step-by-step explanation:

4+3+6+10

4+3 = 7

7 + 6 = 13

13 + 10 = 23

This is super easy, no offense

The y-intercept of the line is (0, -5) and plot the coordinate points (0, -5) and (4, -8) on the graph.

The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.

The given equation is y+2= -3/4 (x+4).

Graph the line using the slope and y-intercept, or two points.

Slope: -3/4

y-intercept: (0, -5)

Plot the coordinate points (0, -5) and (4, -8)

Hence, plot the coordinate points (0, -5) and (4, -8) on the graph.

To learn more about the equation of a line visit:

https://brainly.com/question/2564656.

#SPJ7

Step-by-step explanation:

[tex] \frac{y2 - y1}{x2 - x1} [/tex]

Answer:

slope = [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (7, 5) and (x₂, y₂ ) = (3, 2) ← points on graph

m = [tex]\frac{2-5}{3-7}[/tex] = [tex]\frac{-3}{-4}[/tex] = [tex]\frac{3}{4}[/tex]

Answer: it’s a fraction and it’s 2/5

Step-by-step explanation:

Answer:

x = 2, y = 1

Step-by-step explanation:

x + 4y = 6 and y = 3 - x have to be rearranged: x + 4y = 6 and x + y = 3

You subtract the equations to eliminate one of the variables (x) so that the other can be found

Answer:

They both have the same y intercept

Step-by-step explanation:

(1,0)(0,3)

(0,3)(1,-1)

Answer:

y=2/3x-1

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

all 3 corners of any triangle adds to 180

the big triangle gives you 94 and 41 which equals 135. even though there's a line cutting off the last corner it still counts towards the 180 of the big triangle

180 - 135 = 45

now you know 2 corners of the smaller triangle

111+45 = 156

156+x= 180

x= 24

Answer:

7 miles per hour

Step-by-step explanation:

3.5 times 2.

Answer:

find the difference between the two times by subtracting them;

59.48-56.24= 3.24 seconds

Step-by-step explanation:

Answer:

x=22

Step-by-step explanation:

because 3x+24=90

3x=90-24

3x=66

x=22

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