account
1
14
1 point
shboard
The hour hand on a clock makes 1 revolution in 12 hours. What is the angular velocity in radians per minute?
Durses
radians/minute
roups
radians/minute
360
оооо
888
Tradians/minute
30
Vendar
3
E 36
7T
180
radians/minute
box
4
Previous
story
5
6
stery
?
O
US
>
Sign out

Answer:

[tex]\displaystyle \int\limits^8_1 {\frac{3}{x}} \, dx = 9 \ln 2[/tex]

General Formulas and Concepts:

Calculus

Integration

Integration Rule [Fundamental Theorem of Calculus 1]:                                     [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]

Integration Property [Multiplied Constant]:                                                         [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

Area of a Region Formula:                                                                                     [tex]\displaystyle A = \int\limits^b_a {[f(x) - g(x)]} \, dx[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle f(x) = \frac{3}{x} \\\left[ 1 ,\ 8 \right][/tex]

Step 2: Integrate

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

Answer:

make sure to figure out if its asking for total area or perimeter :)

Step-by-step explanation:

Answer:

perimeter is = 22.31 or approx = 22.3 meter ...

plz Mark my answer as brainlist plzzzz

Answer:

11.4- average

12.5 - median

Step-by-step explanation:

AVERAGE:

Add them up and divide by 8

MEDIAN:

1. Arrange the set from least to greatest.

6,7,9,12,13,14,14,16

2. Start from the first and last numbers and cross them out until you are left with the 2 in the middle. If there was an odd set of numbers, you would end up with one number.

7,9,12,13,14,14

9,12,13,14

12,13

3. Add the remaining two numbers and divide by 2.

12+13/2 = 12.5

Answer:

-11

Step-by-step explanation:

y=-5-3(2)

-5-6=-11

Nate's package is 8 kilograms. This is because, if there are 1,000 grams in 1 kilogram, 8,000/ 1,000= 8 Therefore, the mass of his package is 8 kilograms.

Have a Merry Christmas!

I searched up the entire problem. I solved it and got 129.7 seconds but I'm not sure it's right.

Answer:

1.7 mi

Step-by-step explanation:

Answer:

w = -20

Step-by-step explanation:

-[tex]\frac{w}{5}[/tex] + 9 = 13

Shift the (+9) to the other side of the equation. (+9) will turn into (-9).

-[tex]\frac{w}{5}[/tex] = 13 - 9

   = 4

Shift the (÷5) to the other side of the equation. (÷5) will turn into (×5).

-w = 4 × 5

    = 20

Multiply both sides of the equation by (-1) so that -w will turn into w.

w = (-1) × 20

w = -20

Answer:

77

it right on Edg......

Answer:

77

Step-by-step explanation:

got it right on edge

Answer:

y = 290 liters Drink B

Step-by-step explanation:

Drink A contains 20% real fruit juice. x liters

and Drink B contains 5% real fruit juice. y liters

y=x+80

20%x +5%y =56.5

20x+5y==5650

-x + y = 80.00

20x + 5 y = 5650.00 .............2

Eliminate y

multiply (1)by -5

Multiply (2) by 1

5.00 x -5.00 y = -400.00

20.00 x 5.00 y = 5650.00

Add the two equations

25.00 x = 5250.00

/ 25.00

x = 210.00

plug value of x in (1)

-1.00 x + 1.00 y = 80.00

-210.00 + 1.00 y = 80.00

1.00 y = 290.00

y = 290.00

Ans x = 210 liters Drink A

y = 290 liters Drink B

Answer:

36

Step-by-step explanation:

Since the 3 numbers have a ratio of 2:3:7, that means it simplifies to that. So, there must be a common factor, let’s say x, for each of the numbers. Thus, the numbers are 2x, 3x, and 7x. To find the mean, we add up all of the numbers and divide by the number of numbers: (2x + 3x + 7x)/3 = 12x/3 = 4x = 48. Dividing by 4 on both sides gets x = 12. The median of the numbers is the number in the middle which is 3x. Substituting x = 12, we get: 3(12) = 36.

I hope this helps!!! :)

Answer:

0.375

Step-by-step explanation:

Answer:

3/8

Reason:

I just did a question exactly like this, and this was the answer.

[tex]\color{red} {{{\Large {\bf{To\:\:Simplify\::\frac{\sin ^4(x)-\cos ^4(x)}{\sin ^2(x)-\cos ^2(x)}}}}}}[/tex]

[tex]\color{green}{{{\large {\bf{Your\:\:Answer\::\frac{\sin ^4(x)-\cos ^4(x)}{\sin ^2(x)-\cos ^2(x)}=1}}}}}[/tex]

[tex]\color{yellow} {\Huge {\sf{Solution:}}}[/tex]

[tex]\color{blue} {\large {\bf{Factor\:\sin ^4(x)-\cos ^4(x)}}}[/tex]

[tex]\tt \color{blue} {\mathrm{Rewrite\:}\sin ^4(x)-\cos ^4(x)\mathrm{\:as\:}(\sin ^2(x))^2-(\cos ^2(x))^2=(\sin ^2(x))^2-(\cos ^2(x))^2}[/tex]

[tex]\color{fuchsia} {\normalsize {\mathrm{Apply\:exponent\:rule}:\quad \:a^{bc}=(a^b)^c}}[/tex]

[tex]\color{fuchsia} {\normalsize \sin ^4(x)=(\sin ^2(x))^2}[/tex]

[tex]\color{fuchsia} {\normalsize =(\sin ^2(x))^2-\cos ^4(x)}[/tex]=

[tex]\color{fuchsia} {\normalsize \mathrm{Apply\:exponent\:rule}:\quad \:a^{bc}=(a^b)^c}[/tex]

[tex]\color{fuchsia} {\normalsize \cos ^4(x)=(\cos ^2(x))^2}[/tex]

[tex]\color{fuchsia} {\normalsize =(\sin ^2(x))^2-(\cos ^2(x))^2}[/tex]=

[tex]\mathrm{Apply\:Difference\:of\:Two\:Squares\:Formula:\:}[/tex]x^2-y^2=(x+y)(x-y)

[tex](\sin ^2(x))^2-(\cos ^2(x))^2=(\sin ^2(x)+\cos ^2(x))(\sin ^2(x)-\cos ^2(x))[/tex]

=[tex](\sin ^2(x)+\cos ^2(x))(\sin ^2(x)-\cos ^2(x))[/tex]=

[tex]\color{blue} {\large {\bf{Factor\:\sin ^2(x)-\cos ^2(x)}}}[/tex]

[tex]\mathrm{Apply\:Difference\:of\:Two\:Squares\:Formula:\:}[/tex]x^2-y^2=(x+y)(x-y)

[tex]\sin ^2(x)-\cos ^2(x)=(\sin (x)+\cos (x))(\sin (x)-\cos (x))[/tex]

(x)=(sin(x)+cos(x))(sin(x)−cos(x))

=(\sin (x)+\cos (x))(\sin (x)-\cos (x))=(sin(x)+cos(x))(sin(x)−cos(x))

[tex]\large=(\sin ^2(x)+\cos ^2(x))(\sin (x)+\cos (x))(\sin (x)-\cos (x))

(x))(sin(x)+cos(x))(sin(x)−cos(x))

\large =\frac{(\sin ^2(x)+\cos ^2(x))(\sin (x)+\cos (x))(\sin (x)-\cos (x))}{\sin ^2(x)-\cos ^2(x)}[/tex]=

[tex]\mathrm{Apply\:Difference\:of\:Two\:Squares\:Formula:\:}[/tex]x^2-y^2=(x+y)(x-y)

[tex]\sin ^2(x)-\cos ^2(x)=(\sin (x)+\cos (x))(\sin (x)[/tex]

[tex] (x)=(sin(x)+cos(x))(sin(x)−cos(x))

=\frac{(\sin ^2(x)+\cos ^2(x))(\sin (x)+\cos (x))(\sin (x)-\cos (x))}{(\sin (x)+\cos (x))(\sin (x)-\cos (x))}[/tex]=

[tex]\mathrm{Cancel\:}\frac{(\sin ^2(x)+\cos ^2(x))(\sin (x)+\cos (x))(\sin (x)-\cos (x))}{(\sin (x)+\cos (x))(\sin (x)-\cos (x))}:\quad \sin ^2(x)+\cos ^2(x)Cancel

(sin(x)+cos(x))(sin(x)−cos(x))[/tex]

[tex]\mathrm{Cancel\:the\:common\:factor:}\:\sin (x)+\cos(x)Cancelthecommonfactor:sin(x)+cos(x)[/tex]

=[tex]\frac{(\sin ^2(x)+\cos ^2(x))(\sin (x)-\cos (x))}{\sin (x)-\cos (x)}[/tex]=

[tex]\mathrm{Cancel\:the\:common\:factor:}\:\sin (x)-\cos[/tex]

[tex]\mathrm{Use\:the\:following\:identity}:\quad \cos ^2(x)+\sin[/tex]

[tex]\huge \boxed{\color{red} {\ \huge =1}}[/tex]

Answer:

8.49

Step-by-step explanation:

6^2 + 6^2 = 72

√72 = 8.485... = 8.49

Answer:

10y-20

Step-by-step explanation:

sorry if I am incorrect

Answer:

its 547632

Step-by-step explanation:

cuz yeeeeeeeeee

9514 1404 393

Answer:

  (f·g)(x) = x^3 +x^2 -33x +63

Step-by-step explanation:

The product of the two functions can be found using the distributive property.

  [tex]f(x)\cdot g(x)=(x^2+4x-21)\cdot(x-3)\\\\=(x^2+4x-21)(x)+(x^2+4x-21)(-3)\\\\=x^3+4x^2-21x-3x^2-12x+63\\\\\boxed{(f\cdot g)(x)=x^3 +x^2-33x+63}[/tex]

Answer:

D I think

Hope you have an amazing christmas!

Answer:

The amount of acid in the solution will be: 55.4 millimeters

Step-by-step explanation:

The total amount of solution of acid and water = 342 milimeters

The percentage of acid included in the solution = 16.2%

The amount of acid in the solution:

[tex]16.2\%\:\times 342[/tex]

[tex]=\frac{16.2}{100}\times \:342[/tex]

[tex]=\frac{162}{1000}\times \:342[/tex]

[tex]=0.162\times \:342[/tex]

[tex]=55.4[/tex] millimeters

Thus, the amount of acid in the solution will be: 55.4 millimeters

Answer:I think its 68

Step-by-step explanation:

Answer:

The measure of angle N is 68 degrees.

Step-by-step explanation:

Since this shape is a parallelogram, opposite angles will be equivalent. So to start, set (6x - 2) equal to (4x + 36).

— 6x - 2 = 4x + 36

Next, subtarct the 4x from both sides of the equation as well as add 2 to both sides of the equation an simplify.

— 6x - 4x - 2 + 2 = 4x - 4x + 36 + 2

— 2x = 38

Now, divide both sides of the equation by 2 to find the value of x.

— 2x/2 = 38/2

— x = 19

Finally, substitute 19 for every x in the original equation. Simplify.

— 6(19) - 2 = 4(19) + 36

— 114 - 2 = 76 + 36

— 112 = 112

We now know that these two angles are 112 degrees. If a parallelogram's angles must add up to 360 degrees, then subtract 112 twice from 360 to find the combined total angle measure of N and Q. Then divide that number by 2 to find the measure of N.

— 360 - 112 - 112 = 136

— 136/2 = 68

The measure of angle N is 68 degrees.

Answer:

I think the right answer is c 4:12

Answer:

(C) - C for Correct!

Step-by-step explanation:

We can look at ratios as a fraction, so 1:3 = 1/3 and 12:36 = 12/36. We can simplify the second fraction into 12/36 = 1/3 by canceling 12 from the numerator and denomerator. We can do this with all of the answer choices:

(A) Wrong - 2/18 = 1/9

(B) Wrong - 4/9

(C) Correct - 4/12 = 1/3

(D) Wrong - 6/6 = 1

I hope this helps!!! :)

Answer:

A:The equation y=54x describes the relationship

B: y as 216 and x being 4

If a car travels for 0​ hours, it will travel 0 ​mile(s). This means it will pass through the point (0,0)

.Use the slope to move 3 units to the right of the origin and

162 ​unit(s) up to find the point

(3,162) that can be used to graph the relationship. Step-by-step explanation:

Answer:

97

Step-by-step explanation:

Answer:

x^2 + 11x + 24

Step-by-step explanation:

x^2 + 3x + 8x + 24 =

= x^2 + 11x + 24

9514 1404 393

Answer:

  1/72

Step-by-step explanation:

  [tex]\dfrac{1}{9}\times\left(\dfrac{1}{2}\right)^3=\dfrac{1}{9}\times\dfrac{1}{8}=\boxed{\dfrac{1}{72}}[/tex]

Answer:

the answer to this is y=7x-15

Answer:

See below

Step-by-step explanation:

The formula for the perimeter of a rectangle is  2(L+W).

We know the perimeter is 12, so we first need to divide.

12=2(L+W)

6=L+W

It's asking for possible value

so it can be anything

1+5

2+4

3+3

4+2

5+1

it's whatever adds up to 6

I'm actually not 100 percent sure...

The difference between a positive like fraction and a negative like fraction is always positive.

Fraction is a numerical value which is not a whole number. A fraction is made up of two parts which is the numerator (top number) and the denominator (bottom number). Fraction is in the form:

p/q; where p, q ≠ 0. p is known as the numerator and q is known as the denominator.

The difference between a positive like fraction and a negative like fraction is always positive.

Find more on fractions at: https://brainly.com/question/6201432