If you sleep 30% of the day, how many hours do you sleep?

Answer:

[tex]\frac{5\sqrt{3} }{6}[/tex]

Step-by-step explanation:

Given :

base length = 2

side lengths = x

dx/dt = 5 unit/min

Determine d∅ / dt  at x = 2

d∅ / dt  at x = 2  = [tex]\frac{5\sqrt{3} }{6}[/tex]

attached below is a detailed solution

Answer:

e3x

Step-by-step explanation:

Answer: the first one

Step-by-step explanation:

Answer:

[tex]\int\limits {e^{2s} cos\frac{s}{4} ds[/tex]    =[tex]\frac{4 e^{2s} }{65 } ({8 cos (\frac{1}{4} ) s + sin \frac{1}{4} s} ))[/tex]

Step-by-step explanation:

Step(i):-

Given that  [tex]f(s) = e^{2s} cos\frac{s}{4}[/tex]

Now integrating

            [tex]\int\limits {f(s)} \, ds = \int\limits {e^{2s} cos\frac{s}{4} ds[/tex]

By using integration formula

   [tex]\int\limits { e^{ax} cos b x dx = \frac{e^{ax} }{a^{2}+b^{2} } ( a cos b x + b sin b x )[/tex]

Step(ii):-

 [tex]\int\limits {e^{2s} cos\frac{s}{4} ds[/tex]    =   [tex]\frac{e^{2s} }{(2)^{2}+(\frac{1}{4}) ^{2} } ( 2 cos (\frac{1}{4} ) s + \frac{1}{4} sin \frac{1}{4} s ))[/tex]  

                    = [tex]\frac{e^{2s} }{(4+\frac{1}{16})} ( 2 cos (\frac{1}{4} ) s + \frac{1}{4} sin \frac{1}{4} s ))[/tex]

                   = [tex]\frac{e^{2s} }{(\frac{65}{16} } ( \frac{8 cos (\frac{1}{4} ) s + sin \frac{1}{4} s}{4} ))[/tex]

                 = [tex]16 X\frac{e^{2s} }{65 } ( \frac{8 cos (\frac{1}{4} ) s + sin \frac{1}{4} s}{4} ))[/tex]

                 =[tex]\frac{4 e^{2s} }{65 } ({8 cos (\frac{1}{4} ) s + sin \frac{1}{4} s} ))[/tex]

Final answer:-

[tex]\int\limits {e^{2s} cos\frac{s}{4} ds[/tex]    =[tex]\frac{4 e^{2s} }{65 } ({8 cos (\frac{1}{4} ) s + sin \frac{1}{4} s} ))[/tex]

Answer:

Step-by-step explanation:

Find the diagram of the square attached

Perimeter of a square = 4L

L is the side length of the square

Given

Assume the side length is 8units

L = 8units

Perimeter of the square = 4(8)

Perimeter of the square = 32units

Hence the perimeter of the square is 32units

Answer: D, 92.

Step-by-step explanation: I've done the lesson

Answer:

I think its A

Step-by-step explanation:

because A shows decreasing and half which is 2.

Answer:

$62.50

Step-by-step explanation:

The amount of private mortgage insurance required in this case per annum is 0.75% of the entire loan which is $100,000.

Annual insurance=0.75%*loan amount

Annual insurance=0.75%*$100,000

Annual insurance=$750

Since the annual cost of mortgage insurance per year is established, monthly cost would be annual cost divided by 12 months is which is number of months in a year that payments are to be made

monthly payment=$750/12

monthly payment=$62.50

Answer:

A

Step-by-step explanation:

Answer:

Can you please write a question

Step-by-step explanation:

Answer:

can you write a question and also can i pls get a brainliest it'll make my day a whole lot better bc i have had a terrible day today :/ have a blessed day :)

Step-by-step explanation:

Answer:

x+4x=5x

5x+x=6x

6x+8x=14x.

Answer:

Use the BODMAS method and at the end work the fraction left by adding it to 15

My answer was 15.274

Answer:

You can use the division sign.

Step-by-step explanation:

48÷{2×[(6×5)-(9×3)]} =

48÷{2×[(30)-(27)]} =

48÷{2×[3]} =

48÷{6} =

8

1 ÷ 4 = 0.25

1 ÷ 2/8 = 4

1/2 ÷ 4 = 1/8

1/2 ÷ 2/8 = 2

Answer:

A) 1000/1 = x/2500 is the answer

Answer:

Percentage = 13%

Step-by-step explanation:

Given the following data;

Total population = 173,000

Number of students = 23,000

To find the percentage;

[tex] Percentage = \frac {Number \; of \; students}{Total \; population} * 100 [/tex]

[tex] Percentage = \frac {23,000}{173,000} * 100 [/tex]

[tex] Percentage = \frac {23}{173} * 100 [/tex]

[tex] Percentage = 0.1330 * 100 [/tex]

Percentage = 13.3 ≈ 13%

Therefore, the percentage of Aiken County residents that are enrolled in Aiken County schools is 13%.

Answer:

If you're trying to figure out what x would be, I'm pretty sure the answer is 6 because it's equal with the other side labeled 6 and there are 2 45° angles

Step-by-step explanation:

Sorry if this isn't the answer you're looking for :/

Answer: 13500 cubic centimeters

Step-by-step explanation: lwh/3=volume

Answer:

-21.43%

Step-by-step explanation:

intial valu: 84

final value: 66

so this means it will eaqual-21.43% :) just remeber that the difference if 84 and 66 is -18 :) hope this helps!!!!!!!

Answer:

yes

Step-by-step explanation:

negative numbers work backwards, in this case 8 is smaller then 5 as its farther in the numberline (if you were to draw one)

Answer:

Yes

Step-by-step explanation:

-5 is greater than -8 because -5 is closer to zero. You need to add 5 to get to 0 with -5, but 8 to get to 0 with -8.

Answer: 1.977

Step-by-step explanation:

Answer:

1.977

Step-by-step explanation:

Answer:

About 159 weigh more than 165 g and about 159 g weigh less Than 135 g

Step-by-step explanation:

Given that :

Mean, μ = 150

Standard deviation, σ = 15

Using the Zscore formula :

Zscore = (x - μ) / σ

For x > 165

P(x > 165)

Z = (165 - 150) / 15

Z = 15 /15 = 1

P(Z > 1) = 0.15866 (Z probability calculator)

1000 * 0.15866 = 158.66 = 159

For x < 135

P(x < 135)

Z = (135 - 150) / 15

Z = - 15 /15 = - 1

P(Z > - 1) = 0.15866 (Z probability calculator)

1000 * 0.15866 = 158.66 = 159

Answer:

160 and 160

Step-by-step explanation:

each section is 16% of the whole.

Answer:The answer is B

Step-by-step explanation:

because i did the same test and got 100 A+

Step-by-step explanation:

a³+a²b+ab²+a³b+a²b²-a²b-ab²-b³-a²b²+ab³ = 2/3 ... plus 3Y is equal to 11 find the point where it presented by the equation cuts Y and X axis.

1 answer

Answer:

Expression

Step-by-step explanation:

Answer: Expression

Got this right!!!

Hope this helps!!!

Answer:

220

Step-by-step explanation:

Easy!

Multiply 55 by 4!

2

55

x  4

--------

 220

five times 4 is 20, so put 0 then regroup the 2. Then, 5 times 4 again, but add two!

Answer:

Step-by-step explanation:

Y axis of y

Answer is 11.9ft.

Law of cosines:

In trigonometry, the Cosine Rule says that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.

[tex]c^{2} = a^{2} + b^{2} - 2ab cos(C)[/tex]

Since we have two side lengths and an angle, we can use the Law of Cosines to find the length of the final side.

In this case we can write the law of cosines as,

[tex]f^{2} = d^{2} + e^{2} - 2(de)cos(F)[/tex]

f2 = 5.22 + 6.82 - 2(5.2)(6.8)cos(166)

f2 = 27.04 + 46.24 - 66.56 cos (166)

f2 = 73.28 - 66.56 cos 166

f = √(73.28 - 66.56 cos 166) ≈ 11.9 ft.

f ≈ 11.9 ft.

Learn more about law of cosines here:

https://brainly.com/question/24077856?referrer=searchResults

#SPJ2

Answer:

132

Step-by-step explanation:

S.A.S.→Law of Cosines

From reference sheet

[tex]a^2=b^2+c^2-2bc[/tex] cos A

plug in values

[tex]f^2=36^2+97^2-2(36)(97)cos 166[/tex]

square and find cosine

[tex]f^2=1296+9409-2(36)(97)(-09.70296)[/tex]

Multiply

[tex]f^2=1296+9409+6776.54535[/tex]

Add

[tex]f^2=17481.54535[/tex]

Square root and round

[tex]f=\sqrt{17481.54535}[/tex]≈132.218≈132