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3 years ago

12

Find the equation of the cosine graphed.

1 answer:

Lunna [17]3 years ago

7 0

Answer:

C) y = -cos(x) +2

Step-by-step explanation:

The centerline is 2, so 2 is added. That leaves out choices A and B.

There is a minimum (not a maximum) at x=0, so the multiplier is negative, eliminating choice D.

The correct equation is that of C: y = -cos(x) +2.

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Geoff has a bag that contains 4 red marbles and 6 blue marbles. He chooses two marbles at random and does not replace them. What

Virty [35]

Answer: $\frac{4}{15}$

<u>Step-by-step explanation:</u>

First pick (blue) and Second pick (red)

$\frac{6}{10}$ x $\frac{4}{9}$

= $\frac{6(4)}{10(9)}$

= $\frac{2(2)}{5(3)}$

= $\frac{4}{15}$

6 0

3 years ago

Read 2 more answers

A farmer has 300 ft of fence to enclose 2 adjacent rectangular pens bordering his barn. Find the maximum area he can close.

Margarita [4]

Answer:

Width of 37.5 feet and length of 50 feet will maximize the area.

Step-by-step explanation:

Let w represent width and l represent length of the pen.

We have been given that a farmer has 300 ft of fence to enclose 2 adjacent rectangular pens bordering his barn. We are asked to find the dimensions that will maximize the area.

We can see from the attachment that the perimeter of the pens would be $4w+3l$ .

We can set our given information in an equation $4w+3l=300$ .

The area of the two pens would be $A=2l\cdot w$ .

From perimeter equation, we will get:

$w=\frac{300-3l}{4}$

Substituting this value in area equation, we will get:

$A=2l\cdot (\frac{300-3l}{4})$

Since we need to maximize area, so we need to find derivative of area function as:

$A=\frac{600l-6l^2}{4}$

Bring out the constant:

$A=\frac{1}{4}*\frac{d}{dl}(600l-6l^2)$

$A=\frac{1}{4}*(600-12l)$

$A=150-3l$

Now, we will set our derivative equal to 0 as:

$150-3l=0$

$150=3l$

$\frac{150}{3}=\frac{3l}{3}$

$50=l$

Now, we will substitute $l=50$ in equation $w=\frac{300-3l}{4}$ to solve for width as:

$w=\frac{300-3(50)}{4}$

$w=\frac{300-150}{4}$

$w=\frac{150}{4}$

$w=37.5$

Therefore, width of 37.5 feet and length of 50 feet will maximize the area.

8 0

3 years ago

A bucket holds 84.5 ounces of water. How much is this in liters?

Nostrana [21]

84.5 ounces = 2.4 litres

5 0

3 years ago

Read 2 more answers

(x-4)*(x-9)=0 what is x

Strike441 [17]

Answer:

x either equals to 4 of 9 so you can write it like x=4, 9

Step-by-step explanation:

Start by simplifying each sides of the equation.

x^2-13x+36=0

Then factor the left side of the equation.

(x-4)(x-9)=0

Set factors equal to 0

x-4=0 or x-9=0

x=4 or x=9

4 0

3 years ago

Read 2 more answers

PLEEEEEEEEEEEEEEEASE HELP ME WITH THIS! IT IS DUE TOMORROW!!!

Elis [28]

yes because m<1+m<4 = 180 degrees

6 0

3 years ago