The Sales in thousands of a new type of product, headphones that block out annoying people, are given by S(t)= 230-60e^-0.1t, where t represents time on months.

A. Find the sales at the time when t=4 months.
B. AFter how many months will sales be equal to $220,000.

Answer:

Step-by-step explanation:

When you distribute a positive sign to a parentheses, you essentially change nothing. So, you can drop all of the parentheses for this entire equation. Now combine like terms.

[tex]-4p^2-3p-17[/tex]

or

[tex]-1(4p^2+3p+17)[/tex]

Answer:

Option D

Step-by-step explanation:

We are given the two points of (5, 11) and (-5, -1).

Use the slope formula.

[tex]m=\frac{rise}{run}=\frac{-1-11}{-5-5} =\frac{-12}{-10} =\boxed{\frac{6}{5}}[/tex]

The correct option should be Option D.

Hope this helps you.

Answer:

3x + 7 + 2x -1

Step-by-step explanation:

(3x+2x)+(7-1)

5x + 6

6 / 5

x=1.2 or 2/10

Answer:

The function that could be the function described is;

[tex]f(x) = -10 \cdot cos \left (\dfrac{2 \cdot \pi }{3} \cdot x \right ) + 10[/tex]

Step-by-step explanation:

The given parameters of the cosine function are;

The period of the cosine function = 3

The maximum value of the cosine function = 20

The minimum value of the cosine function = 0

The general form of the cosine function is presented as follows;

y = A·cos(ω·x - ∅) + k

Where;

[tex]\left | A \right |[/tex] = The amplitude = Constant

The period, T = 2·π/ω

The phase shift, = ∅/ω

k = The vertical translation = Constant

Therefore, by comparison, we have;

T = 3 = 2·π/ω

∴ ω = 2·π/3

The range of value of the cosine of an angle are;

-1 ≤ cos(θ) ≤ 1

Therefore, when A = 10, cos(ω·x - ∅) = 1 (maximum value of cos(θ)) and k = 10, we have;

y = A × cos(ω·x - ∅) + k

y = 10 × 1 + 10 = 20 = The maximum value of the function

Similarly, when A = 10, cos(ω·x - ∅) = -1 (minimum value of cos(θ)) and k = 10, we get;

y = 10 × -1 + 10 = 0 = The minimum value of the function

Given that the function is a reflection of the parent function, we can have;

A = -10, cos(ω·x - ∅) = -1 (minimum value of cos(θ)) and k = 10, to get;

y = -10 × -1 + 10 = 20 = The maximum value of the function

Similarly, for cos(ω·x - ∅) = 1 we get;

y = -10 × 1 + 10 = 0 = The minimum value of the function

Therefore, the likely values of the function are therefore;

A = -10, k = 10

The function is therefore presented as follows;

y = -10 × cos(2·π/3·x) + 10

Answer:

19,110

Step-by-step explanation:

Answer:

26460

Step-by-step explanation:

Totally know that lazy feeling, happy to help =)

Answer:

Step-by-step explanation:

27/8 or 3 3/8 or 3.375

Answer:

27/8 or 3  3/8

Step-by-step explanation:

So you would convert both fractions into improper numbers.

So 2  1/4 would be 9/4

And 1  1/2 would be 3/2

Then you would multiply them both. Your answer would be 27/8

Answer:

3

Step-by-step explanation:

it is the correct answer

Answer:

IDEK

Step-by-step explanation:

I KNOW?

Answer:

y= -x-4

Step-by-step explanation:

x+y=-4

move the x to the other side

y= -x-4

Answer:

125

Step-by-step explanation:

Since its a hexagon the interior angles equal to 720 degrees.

Because (n-2)180 equals the number of sides. So, (6-2)180 = 720.

Now for x,

120 + 130 + 100 + x + 135 + 110 = 720

595 + x = 720

x = 125

Answer:

12/20

Step-by-step explanation:

Cos is adjacent/hypotenuse. 12 is adjacent to angle C and 20 is the hypotenuse. 12/20 is the cosine of C.

Answer:

Step-by-step explanation:

Since this is a test/homework, I'll give you a hint.

For a linear graph, if you took a ruler, and traced the "dots", it should always be in a straight line.

Another way, is finding a pattern. I can't really explain this so much, since it's fairly basic. Just find two dots, and see if they are similar in any way. If they are, good job! Find another. If their isn't, maybe try searching for another.

The third way: You could use the equation mx+b=y, but this is just a bit ridiculous for this problem, since you could just eye it.

Hope this helps!