. Emma wanted to make an origami fish for each of her 22 classmates. She takes 30 minutes to make one fish. How long will Emma take to make all the fish? A 320 minutes B 11 hours © 600 minutes D 660 hours​

The value x is equal to [tex]\pi[/tex] for which f(g(x))=g(f(x))

Given :

f(x)=3+cos(x)

g(x)=2x

To find : the value of x over the given interval [tex]0\leq x\leq 2\pi[/tex]

Apply composition of functions. Replace g(x) inside f(x) to find f(g(x))

[tex]f(g(x))=f(2x)=3+cos(2x)\\g(f(x))=g(3+cosx)=2(3+cosx)\\[/tex]

Now we set f(g(x))=g(f(x)) and solve for x

[tex]3+cos(2x)=2(3+cosx)\\3+cos(2x)=6+2cos(x)\\\cos \left(2x\right)-2\cos \left(x\right)-3=0\\\\we \; know:\ cos(2x)=2cos^2(x)-1\\-4-2\cos \left(x\right)+2\cos ^2\left(x\right)=0\\2cos^2(x)-2cos(x)-4=0\\\\divide \; by \; 2 \; and \; Factor \; left \; hand \; side\\\\cos^2(x)-cos(x)-2=0\\\\(cosx-2)(cosx+1)=0\\\cos \left(x\right)=2,\:\cos \left(x\right)=-1[/tex]

cos(x)=2 cannot be solved , so no solution

[tex]cos(x)=-1\\cos is -1 at x=180 degree\\So , x=\pi[/tex]

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Answer:

[tex]( {6}^{3} ) {}^{ - 3} \\ = \frac{1}{( {6}^{3}) {}^{3} } \\ \\ = \frac{1}{ {6}^{9} } \\ \\ = {6}^{ - 9} [/tex]

Answer:

6^-9

Step-by-step explanation:

the answer is proved above

Answer:

0

Step-by-step explanation:

3x0+2x0-4x0+5x0

0

The equation to find the nth term is:

an = a+(n-1)d

Where a is the first term in the sequence, which is 1 and d is the difference, which in this sequence the next term is found by adding 2 to the previous term, so d = 2 and n is the term you want to find.

The equation is:

an = 1 + (n-1)2

a24 = 1 + (24-1)2 = 1 + 23(2) = 1+46 = 47

Answer:

the user on top is correct

Step-by-step explanation:

Answer:

289

Step-by-step explanation:

f(x) = x^2+1

Let x= 4

f(4) = 4^2+1 = 16+1 = 17

f(4) ^2 =17^2 =289

Answer:

y intercept : if jada doesn't sell anything, she loses $250

Pos/neg interval: jada needs to sell more than 35 kilos in order to make a profit

Increase/decrease interval: the more paprika she sells, the more profit she makes

Step-by-step explanation:

y intercept is when she sells 0 kilos and is at -250 on the y axis

pos/neg interval is whether or not she is above or below 0 on the x axis (she has to be above it in order to make a profit)

The more the line is increasing, the larger profit she makes

i can ask my friend if he can help u he knows a lot about this stuff

Answer:

8

Step-by-step explanation:

You multiply the candies sold, by 8 to get the money raised.

10 times 8 is 80.

20 times 8 is 160

30 times 8 is 240

And so on.

I hope this helps!

pls ❤ and give brainliest pls

Divide money raised by candles sold:

80/10 = 8

160/20 = 8

Etc.

Each candle cost $8

You would multiply the number of candles sold by $8 to find the amount of money raised.

Answer:

D. 12.5

Step-by-step explanation:

Volume of a cylinder is V=pi r^2 h

*assuming that they already divided by pi since it isnt in their volume*

We can substitute our values...

5000 = 20^2 h

5000 = 400 h

12.5 = h

Given :-

A square vegetable garden has side lengths of 12 feet.

You plant flowers in the center portion of the garden,a square that has side lengths of 4 feet.

You divide the remaining space into 4 equal sections and plant tomatoes, onions, zucchini, and peppers.

To Find :-

What is the area of the onion section ?

Solution :-

Given that,

→ side of square vegetable garden is = 12 feet .

So ,

→ Area of square vegetable garden = (side)² = (12)² = 144 feet².

Now, given that, inside this area, there is a square of side 4 feet reserved for flowers .

So,

→ The area of the flower section = (side)² = (4)² = 16 feet².

Therefore,

→ The rest of the garden that is intended for vegetables is = The total garden area - The flower section area = 144 - 16 = 128 feet².

Now, this remaining area is to be divided in four equal sections .

So,

→ The area of the onion section = (1/4) of remaining area = (1/4) * 128 = 32 feet². (Ans.)

Hence, The area of the onion section is 32 feet².

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I originally got this answer from  RvChaudharY50, so go support them too!

https://brainly.in/question/25103306?tbs_match=2

Answer:

Step-by-step explanation:

Answer:

Solution: The general form of the line on a graph is y = mx+c,

where y is the coordinate of the point along the y-axis,

x is the coordinate of the point along the x-axis,

m is the slope of the line or arc tan of the angle the line makes with the x-axis, and

c is the intercept the line makes on the y-axis.

Suppose we want a line having a slope of 45º with the x-axis and passes through point P (4,6), the equation of the line is

y = mx + c

6 = tan 45 * 4 + c, or

6 = 4 + c, or

c = 6–4 = 2.

Answer:

50

Step-by-step explanation:

Diagonal of square = 10

Use special triangles to find the area because a square's diagonal divides the 90 degree angles into 45 degrees

45-45-90 triangle

x   : x   : x√2

1   : 1      : 10

10=x√2

10/√2=x, rationalize denominator and you get 5√2 as the square's side length

Area is s^2, s being the length of a side

(5√2)^2=25*2=50

Answer:

Step-by-step explanation:

-8 <= x <= -1

Answer:

14234

Step-by-step explanation:

123124

Answer:   -12 - 3 = -15

Explanation:

We start at -12 which goes in the first box.

Moving to the left 3 units means we subtract off 3, so that's why 3 goes in the second box.

The arrow is pointing at -15 as the final destination, which goes in the final third box.

Answer: B (F-D+2=T)

Step-by-step explanation:

We know that daisies has 2 more than the tulips. (D+2 = T)

The answer is B

Flowers - Daises + 2 = T

Since daises has 2 more flowers than tulips, thats why theres a (+2)

54 is the answer of -4(-5)-(2(-17))

Answer:

1 . 54

Step-by-step explanation:

Answer:

There are no mistakes.

Step-by-step explanation:

5x-6 = 9

Add 6 to each side

5x-6+6 = 9+6

5x = 15

Divide each side by 5

5x/5 = 15/5

x = 3

Answer:

irrational because it's recurring

Answer:

irrational numbers

Step-by-step explanation:

because it's recurring

Answer:

Step-by-step explanation:

x  = -3-2 =5

y = 7 - 6 = 1

because in this translation (x,y) = (x-2,y-6)

(-5,1)