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3 years ago

If a pint of cough syrup contains 473 ml of medication, how many full 13 ml doses are in the bottle?

Mathematics

1 answer:

eduard3 years ago

8 0

Answer:

Step-by-step explanation:

473/13

= 36 .38

round to the lower whole number

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Identify each function that has a remainder of -3 when divided x+6

Sergeu [11.5K]

Answer:

Step-by-step explanation:

According to remainder theorem, you can know the remainder of these polynomials if you plug in x = -6 into them.

So we will plug in -6 into x of all the polynomials ( A through D) and see which one equals -3.

For A:

$x^5 + 2x^2 - 30x + 30\\=(-6)^5 + 2(-6)^2 - 30(-6) + 30\\=-7494$

For B:

$x^4 + 4x^3 - 21x^2 - 53x + 12\\=(-6)^4 + 4(-6)^3 - 21(-6)^2 - 53(-6) + 12\\=6$

For C:

$x^3 - 10x^2 - 7\\=(-6)^3 - 10(-6)^2 - 7\\=-583$

For D:

$x^4 + 6x^3 - 10x - 63\\=(-6)^4 + 6(-6)^3 - 10(-6) - 63\\=-3$

The only function that has a remainder of -3 when divided by x + 6 is the fourth one, answer choice D.

5 0

3 years ago

The energy saved by recycling one glass bottle is enough to power a washing machine for 10 minuets. How many recycled glass bott

Mrac [35]

There are 60 minutes in one hour.
Divide 60 minutes by 10 minutes.

You get 6. That means you would need 6 recycled bottles to power a washing machine for one hour (that will be awesome if that were the case).

Have an awesome day! :)

4 0

3 years ago

Read 2 more answers

To rent a building for a school dance, Ava paid $120 plus $2.50 for each student who

Shtirlitz [24]

(325-120)/2.5=2050/25=82
=>82 students attended the dance

3 0

3 years ago

What are the vertical and horizontal asymptotes for the function f(x)= 3x2/x2-4

Alecsey [184]

Answer: f(x) will have vertical asymptotes at x=-2 and x=2 and horizontal asymptote at y=3.

Step-by-step explanation:

Given function: $f(x)=\dfrac{3x^2}{x^2-4}$

The vertical asymptote occurs for those values of x which make function indeterminate or denominator 0.

i.e. $x^2-4=0\Rightarrow\ x^2=4\Rightarrow\ x=\pm2$

Hence, f(x) will have vertical asymptotes at x=-2 and x=2.

To find the horizontal asymptote , we can see that the degree of numerator and denominator is same i.e. 2.

So, the graph will horizontal asymptote at $y=\dfrac{\text{Coefficient of }x^2\text{ in numerator}}{\text{Coefficient of }x^2\text{ in denominator}}$

i.e. $y=\dfrac{3}{1}=3$

Hence, f(x) will have horizontal asymptote at y=3.

3 0

3 years ago

Which graph represents the solution set for the system x + y> 5 and -3x + 2y< -2.

Leviafan [203]

Is there any picture we can work with?

6 0

3 years ago