plss guys help what ?​

Answer:

r = 5.848cm, h = 11.696cm

Step-by-step explanation:

Surface area: [tex]SA=2\pi rh+2\pi r^2[/tex]

Volume: [tex]V=\pi r^2h[/tex]

Therefore, the height of a cylinder given its volume would be [tex]h=\frac{V}{\pi r^2}[/tex], thus:

[tex]SA=2\pi r(\frac{V}{\pi r^2})+2\pi r^2\\\\SA=\frac{2V}{r}+2\pi r^2\\\\SA=\frac{2(400\pi)}{r}+2\pi r^2\\\\SA=\frac{800\pi}{r}+2\pi r^2[/tex]

We now find the derivative of the surface area of the cylinder with respect to its radius and set it equal to 0, solving for the radius:

[tex]\frac{d(SA)}{dr}=-\frac{800\pi}{r^2}+4\pi r[/tex]

[tex]0=-\frac{800}{r^2}+4\pi r[/tex]

[tex]0=800\pi+4\pi r^3[/tex]

[tex]-800\pi=4\pi r^3[/tex]

[tex]-200=r^3[/tex]

[tex]r\approx5.848[/tex]

If [tex]0If [tex]r>5.848[/tex], then the surface area of the cylinder increases

Therefore, the surface area is minimized when the radius is [tex]r=5.848cm[/tex], making the minimum height [tex]h=\frac{V}{\pi r^2}=\frac{400\pi}{\pi(5.848)^2}\approx11.696cm[/tex].

In conclusion, the 2nd option is correct.

Answer:

44.3$

Step-by-step explanation:

187 + 1/10*187= 205.7$

250-205.7= 44.3$ left

Answer:

44.3 dollars

Step-by-step explanation:

sd card=1/10 of camera

           =1/10 of 187=18.70 dollars

total=187+18.70=205.7 dollars

left=250-205.7 =44.3 dollars

Answer:

Step-by-step explanation:  So amount Earned per hour is 9.25

h = time

and 7.5=amount he spent / money made=9.25h-7.5  !

HOPE IT HELPS!!

Answer:

1. x = 10 - y/2 2. x = 2 + 5y/6

Step-by-step explanation:

[tex]\textit{exponential form of a logarithm} \\\\ \log_a(b)=y \qquad \implies \qquad a^y= b \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{array}{llll} A.3\\\\ \log_{\frac{1}{2}}\left( \frac{1}{8} \right)=3\implies \left( \cfrac{1}{2} \right)^3=\cfrac{1}{8}~ \end{array} \hfill \begin{array}{llll} B.4\\\\ 3^{-4}=\cfrac{1}{81}\implies \log_3\left( \frac{1}{81} \right)=-4 \end{array}[/tex]

Answer:

y= 1/2x -7

Step-by-step explanation:

Find the y-intercept. It is where the line crosses "y" which is -7

Next find the rise and the run for "x"

Rise - 1

Run - 2

Then put them in slope intercept form

y=1/2x -7

Answer:

$0.18

Step-by-step explanation:

we need to set up two simultaneous equations

using variables, pencils = p and erasers = e

3 pencils and 2 erasers, the cost is $0.76

3p + 2e = $0.76

2 pencils and 4 erasers, the cost is $1.04.

2p + 4e = $1.04

we now have

3p + 2e = $0.76

2p + 4e = $1.04

to make the number of erasers the same, multiply the first equation by 2 to give 4e

2(3p + 2e = $0.76)

6p + 4e = $1.52

now we have the same number of erasers for both equations

6p + 4e = $1.52

2p + 4e = $1.04

subtract across: 6p - 2p = 4p, 4e - 4e = 0, $1.52 - $1.04 = $0.48

we are left with 4p = $0.48

divide both sides by 4

p = $0.12

1 pencil = $0.12

go back to the start of both equations and use one of them to find 1 eraser. I'll use 3p + 2e = $0.76

input $0.12 in p

3($0.12) + 2e = $0.76

$0.36 + 2e = $0.76

subtract $0.36 on both sides

2e = $0.76 - $0.36

2e = $0.40

divide 2 on both sides

e = $0.20

1 eraser = $0.20

How much more does 1 eraser cost than 1 pencil?

we now know 1 pencil = $0.12 and 1 eraser = $0.20

find the difference between them

$0.20 - $0.12 = $0.18

final answer= $0.18

Answer:

19/50 as a decimal is 0.38.

Step-by-step explanation:

Answer:

q = 5/18

Step-by-step explanation:

q + 5/9 = 5/6

Subtract 5/9 from each side

q + 5/9 - 5/9 = 5/6 - 5/9

q = 5/6 - 5/9

Get a common denominator of 18

q = 5/6 *3/3 - 5/9 *2/2

q = 15/18 - 10/18

q = 5/18

Answer:

hope this helps you a lot

have a great day

Answer:

u = [tex]{\boxed{\sf{\: 3 \:}}}[/tex]⁰

Step-by-step explanation:

So, according to the question :

[tex]\begin{gathered} \qquad{\longrightarrow{\sf{Sum \: of \: all \: angles = {180}^{\circ}}}}\\\\ \qquad{\longrightarrow{\sf{{74}^{\circ} + {52}^{\circ} + 18u = {180}^{\circ}}}}\\\\\qquad{\longrightarrow{\sf{{126}^{\circ} + 18u = {180}^{\circ}}}}\\\\\qquad{\longrightarrow{\sf{18u = {180}^{\circ} - {126}^{\circ}}}}\\\\\qquad{\longrightarrow{\sf{18u = {54}^{\circ}}}}\\\\\qquad{\longrightarrow{\sf{u = \dfrac{54}{8}}}}\\\\\qquad{\longrightarrow{\sf{u = {3}^{\circ}}}}\\\\ \qquad\star{\underline{\boxed{\frak{\pink{u = {3}^{\circ}}}}}}\end{gathered}[/tex]

Hence, the value of u is 3⁰.

[tex]\rule{300}{2.5}[/tex]

Answer:

29,540

Step-by-step explanation:

28,000 x 5.5%=1540

28,000+1540=29,540

She will pay 29,540 in state income tax.

Answer:

Mean: 11.6

Median: 14

Mode: 18

Range: 17

Step-by-step explanation:

Mean: add all of the numbers and divide by how many numbers there are

Median: Arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers.

Mode: the number that occurs the most

Range: Subtract the minimum data value from the maximum data value to find the data range. In this case, the datarange is 18−1=17

Answer:

ok I will

Step-by-step explanation:

Step-by-step explanation:

hope it helps I tried to make it clear

Answer:

[tex]m=\frac{2}{3}[/tex]

Step-by-step explanation:

Pick any two points

(6,0) &(3,-2)

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

       [tex]=\frac{(-2)-0}{3-6}[/tex]

       [tex]=\frac{2}{3} or 0.666[/tex]

Answer:

The total of Jenny's 5 tests = 375

If she wants an average of 77 then

her 6 tests must total 6 x 77 = 462

462 - 375 = 87 which is what Jenny

must score on the sixth test for an

average of 77.

Answer:

Equation will be y = 5x + c

Step-by-step explanation:

For point (5, 1)

1 = 5(5) + c

Or, c = - 24

So, y = 5x - 24

Answer:

2x-32

Step-by-step explanation:

You would distribute the 4.

Answer:

90 km per hour

Step-by-step explanation:

divide total distance by number of hours traveled :)

Answer:

49.6

Step-by-step explanation:

Answer:

(11,11)

Step-by-step explanation:

Moving 5 units to the right means add 5 to x

Moving 4 units up means add 4 to y

(6+5, 7+4)

(11,11)

Answer:

2.5

Step-by-step explanation:

37.5 divided by 15 which is 2.5 because you'd do the inverse. you know the method for area is base times height and in this case you know base and total area so you'd divide.

Answer:

rawr

Step-by-step explanation:

Answer:

the second one  

Step-by-step explanation:

Step-by-step explanation:

Convert the given value in cm into feet and inches.

Use the unit rates:

Convert:

or

You can use the fact that the corresponding values from both the columns are taken into ordered pair (x,y) form to plot them on the 2d graphs (for 2 data values' set)

The scatter plot best representing the data in the table is given by

Option D:   Plots ordered pairs 0, 23. 5 and 500, 12 and 1000, 6 and 1500, 4. 2 and 2000, 4 and 2500, 3. 8 and 3000, 3 and 3500, 2. 8 and 4000, 2.

There are two axis in the graph. Horizontal axis and vertical axis. The independent variable is plotted on horizontal axis and dependent variable's values are plotted on vertical axis.

Since the temperature is measured on each value of depth, thus, depth is independent and temperature is depending on the depth.

The data points are ordered as

(independent variables' value, dependent variables' value at that value of independent variable)

Thus, for the given table, we will have:

(0, 23.5), (500, 12), ... points.(it is denoting like what was the value of second variable when first variable was this. Like when depth was 0, temperature was 23.5 degrees Celsius, and so on).

Thus,

The scatter plot best representing the data in the table is given by

Option D:   Plots ordered pairs 0, 23. 5 and 500, 12 and 1000, 6 and 1500, 4. 2 and 2000, 4 and 2500, 3. 8 and 3000, 3 and 3500, 2. 8 and 4000, 2.

Learn more about scatter plot here:

https://brainly.com/question/10578193

Answer:

13

Step-by-step explanation:

the difference is -5

the 49th term is 13