Answer:
radius r = 3.414 in
height h = 6.8275 in
Step-by-step explanation:
From the information given:
The volume V of a closed cylindrical container with its surface area can be expressed as follows:
[tex]V = \pi r^2 h[/tex]
[tex]S = 2 \pi rh + 2 \pi r^2[/tex]
Given that Volume V = 250 in²
Then;
[tex]\pi r^2h = 250 \\ \\ h = \dfrac{250}{\pi r^2}[/tex]
We also know that the cylinder contains top and bottom circle and the area is equal to πr²,
Hence, if we incorporate these areas in the total area of the cylinder.
Then;
[tex]S = 2\pi r h + 2 \pi r ^2[/tex]
[tex]S = 2\pi r (\dfrac{250}{\pi r^2}) + 2 \pi r ^2[/tex]
[tex]S = \dfrac{500}{r} + 2 \pi r ^2[/tex]
To find the minimum by determining the radius at which the surface by using the first-order derivative.
[tex]S' = 0[/tex]
[tex]- \dfrac{500}{r^2} + 4 \pi r = 0[/tex]
[tex]r^3 = \dfrac{500 }{4 \pi}[/tex]
[tex]r^3 = 39.789[/tex]
[tex]r =\sqrt[3]{39.789}[/tex]
r = 3.414 in
Using the second-order derivative of S to determine the area is maximum or minimum at the radius, we have:
[tex]S'' = - \dfrac{500(-2)}{r^3}+ 4 \pi[/tex]
[tex]S'' = \dfrac{1000}{r^3}+ 4 \pi[/tex]
Thus, the minimum surface area will be used because the second-derivative shows that the area function is higher than zero.
Thus, from [tex]h = \dfrac{250}{\pi r^2}[/tex]
[tex]h = \dfrac{250}{\pi (3.414) ^2}[/tex]
h = 6.8275 in
What’s the value of this question
I need help ASAP!! If you can't see the screenshot press on the image.
Answer:
Part A: y = 4.5x + 22
Part B: 31 inches
Step-by-step explanation:
Part A:
the y-intercept appear to be at 22
the slope can be found by using the points (0, 22) and (4, 39)
m = 39 - 22
4 - 0
m = 17 / 4 = 4.3 and this is close to 4.5
Part B:
plug in 2 for 'x' in the equation: y = 4.5x + 22
y = 4.5(2) + 22
y = 9 + 22
y = 31
.The point at which the x- and y-axis intersect on the coordinate plane.
Answer:
(0,0)
Step-by-step explanation:
I need help with 2,4 and 6 I attached a image below
Answer:
Step-by-step explanation:
2. 8n= -2
n= -1/4
4. -8s= 32
s= -4
6. 1/7b= -7
b= -49
Jace has to read 40 pages in his novel tonight. He has only read 8 pages so far. What percent of the pages has he read?
Answer:
The answer is 20 because 8 goes into 40 5 times as does 20 to 100.
Step-by-step explanation:
Answer:
20%
Step-by-step explanation:
Prove that A (-2,3), B(8,2), C(4,5) are the vertices of a right triangle
Pls help 10 points!!
9514 1404 393
Answer:
you cannot prove what isn't so
Step-by-step explanation:
The given vertices are not those of a right triangle.
someone pls help me!!!!
Answer:
C.
Step-by-step explanation:
1 X 26 = 26
2 X 26 = 52
3 X 26 = 78
how is tat algebra???
at a summer camp the campers are divided into groups. each group of 16 campers requires 2 cabins. how many cabins are needed for 112 campers? (please show your work)
Answer:
14 cabins
Step-by-step explanation:
16 ÷ 2 = 8 in 1 cabin
112 ÷ 8 = 14 cabins
Please consider marking brainliest :)
Hope this helps
Have a great day!!
- 2(x + 3) = 10
Please help
-2x - 6 = 10
-2x = 16
-x = 8
x = -8
-2/3 divided by 1/3
10 points for the answer PLZ hurry
Answer:
-2
Step-by-step explanation:
bc math
Answer:
-2
Step-by-step explanation:
[tex]=\frac{-2}{3} \times\frac{3}{1}[/tex]
[tex]=\frac{-2 \times3}{3\times1}[/tex]
[tex]=\frac{-6}{3}[/tex]
[tex]=\frac{-6 divided by 3}{3dividedby3}[/tex] or = -6÷3/3÷3
[tex]=-2[/tex]
The Perimeter of a rectangle the garden is 43.8 feet it’s length is 12.4 feet what is it width
Answer: 9.5 feet
Step-by-step explanation: First, add 12.4 + 12.4. This equals 24.8. Next subtract 43.8 - 24.8. This equals 19. Finally, solve 19 divided 2 because it is a rectangle and a rectangle has two sides of the same length/width. 19 divided by 2 is 9.5 feet. I hope this helps!
It took Sam 324 minutes to cook an 18 pound turkey. How many minutes per pound did it take to cook the turkey?
Answer:
18 minutes per lb
Step-by-step explanation:
324 divided by 18 = 18
Is (2, 2) a solution of y < 4x – 6?
Choose 1 answer:
А
Yes
(В
No
Answer:
No.
Step-by-step explanation:
I hope I helped. <3
help plz answer the question plzzz
PLEASE HELP ITS DUE TODAY
Answer:
Its either answer B. or D. Sorry if I'm wrong and I hope this sorta helps.
the summer sports training camp has a maximum capacity of 250 student (s). if 85 have pre registered, then how many students can still participate?
Answer: x [tex]\leq[/tex] 165
Step-by-step explanation:
What is the value of x?
110
11
22
19
30.4
Answer:
30.4
Step-by-step explanation:
Step-by-step explanation:
38/15.2=2.5
55/2.5=x
x=22
Two triangles are similar. The smaller triangle has side lengths 10, 20, and 15 units. The larger triangle's longest side is 52 units. What is the perimeter of the larger triangle? first o answer get brainliest
Answer:
117
Step-by-step explanation:
So basically, how I figured it out is 20-15 is 1/4 of 20. So I had to find the 1/4 of 52 which is 13. But 15 is 3/4 of 20 so then you multiply 13 times 3 which is 39.
10 is half of 20. So you find half of 52. Which is 26.
52+39+26 is your equation.
Which adds up to 117. So 117 is your answer
I used 20 because in the smaller triangle 20 was the largest side like 52 in the biggest triangle.
Brainliest would be appreciated
First answer
Have a great day!
what is the slope between the points ( 3,5) and (-2,-4) ?
Answer:
slope = 9/5
Step-by-step explanation:
as the formula of slope is
slope.= y2-y1/x2-x1
as we know that in the question x1 = 3 , y1 = 5 and x2 = -2 , y2 = -4
put these values in the formula of slope then we get the slope which is equal to (9/5)
Please solve and show your work
k/3 + 4=10
Answer:
k=18
Step-by-step explanation:
k/3+4=10
subtract 4 from both sides.
k/3+(4-4)=10-4
k/3=6
multiply 3 on both sides.
k/(3/3)=6*3
k=18
Check using substitution method.
(18)/3+4=10
Use order of operations to solve. (PEMDAS)
6+4=10
10=10
Hope this helps. Have a nice day you amazing bean child.
Will give brainliest
Answer:b
Step-by-step explanation:
Answer:
b -2/3
Step-by-step explanation:
rise/run
you find two points that intersect a line then do rise over run the slope is negative
If ON = 9x - 8, LM = 8x + 4, NM = x - 8, and OL = 3y - 5, find the values of x and y for which LMNO must be a parallelogram.
Answer:
x is 12 and y is 3
Step-by-step explanation:
Given a parallelogram LMNO,
LM = ON and OL = NM
Given;
ON = 9x - 8
LM = 8x + 4
NM = x - 8, and
OL = 3y - 5
Substitute into the expression
LM = ON
8x + 4 = 9x - 8
8x - 9x = -8 - 4
-x = -12
x = 12
Also OL = NM
3y - 5 = x - 8
3y - 5 = 12-8
3y - 5 = 4
3y = 4+5
3y = 9
y = 9/3
y = 3
Hence the value of x is 12 and y is 3
⚠️Answer needed quickly⚠️
*Brainliest to right answer*
Answer:
The rate of change is 7
Step-by-step explanation:
multiply x by 7 to get the y value
Help please I’ll give you love :)
Cell Phone Company A has a cell phone plan with 4 phones for $65. The additional cost for data is 20 for 2GB, $30 for 4GB, and $40 for 6GB. Cell Phone Company B charges $60 for 4 cell phones and $10 for every GB up to 4GB, and then $20 for each GB thereafter. The Johnsons use 100 minutes a month with an unlimited talk and text plan. The Smiths use 250 texts with an unlimited talk and text plan. If the Smiths need 4 phones and want 4 GB, what is the better price from the cell phone company to contract with?
is 6 2/7 greater than or least than 9.3
Answer:
less than
Step-by-step explanation:
help dont get this !!!
Rose Milan agrees to make equal payments at the beginning of each year for 15 years to discharge a debt of 240,000, due now. If money is worth 12% compounded annually, find the annual
y=−12x+ GRAPH PLEASE HELP OR BRIANLIEST GET RIGHT
Answer:
(0,0) (1,-12)
:)
HELP WITH NUMBER ONE PLEASE!! (FACTORING)
Show me how you did it please!!!