Please someone help me with this math problem

Kym used the integer tiles to find the sum of (–3) + 6. The line showed that the answer is negative 3. Which of the following do

Yuki888 [10]

Answer:

Kai built the bookshelf shown below. The bookshelf is 48 inches tall with a solid board on the back, and EACH shelf measures 18 inches wide by 24 inches long. If Kai wants to paint all the surfaces, including the undersides of both shelfs and the base, as well as both sides of the bookshelf’s back and sides, how many square FEET will he paint?

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Hi everyone, I'm having trouble with this question and I'm not sure how to do it/where to start. Does anyone have a solution to

Andreyy89

This is quite an interesting problem. I am not sure how high you are in math, but I am going to use calculus I techniques to solve it. First, we need to model an equation. Let P be the total profit and x be every time you increase the cost by $10. If you think about it hard enough you come up with the equation

$P(x)=(200-5x)(250+10x)$

(200-5x) is the amount of plots you will be able to sell, and (250+10x) is the amount you charge for. So, at x =0

$P(0)=(200-5(0))(250+10(0))=(200)(250)=$50,000$

This is the initial condition where if we sell 200 plots at $250/plot.

So, this equation makes sense.

Now, let's maximize using the first derivative of the function.

Let's get it into an easily differentiable form.

$P(x)=(200-5x)(250+10x)=-50x^2+2000x-1250x+50000\\=-50x^2+750x+50000$

From here, differentiate the problem.

$P'(x)=-100x+750$

Now, set it equal to zero and solve for x.

$P'(x)=-100x+750=0\\x=7.5$

This a critical point of the function. Let's plug back into the original equation to see what it gives us.

$P(7.5)=(200-5(7.5))(250+10(7.5))=(162.5)(325)=52,812.50$

You cant sell half a plot, so we need to see what happens if we sell 162 plots and 163 plots, and then compare which one gives us more money.

In order to sell 162 plots

$200-5x=162\\x=7.6$ Plug back into P(x) to see the profit

$P(7.6)=(200-5(7.6))(250+10(7.6))=(162)(326)=52,812$

Now, do the same for 163 plots

$200-5x=163\\x=7.4\\P(7.4)=(200-5(7.4))(250+10(7.4))=(163)(324)=52,812$

As we can see, they are the same. So, you can charge either $324 or $326 in rent. But, if your teacher is not looking for a logical answer and you can somehow sell half a plot, you can charge $325 in rent for the maximum profit.

6 0

3 years ago

What is this Help plz !

Arlecino [84]

24 square units is the answer

7 0

3 years ago

2.48 Nine people are going on a skiing trip in 3 cars that hold 2, 4, and 5 passengers, respectively. In how many ways is it pos

SVETLANKA909090 [29]

<span>Five ways:
1. 1 in the 2-passenger car, 3 in the 4-passenger car, and 5 in the 5-passenger car.

2. 1 in the 2-passenger car, 4 in the 4-passenger car, and 4 in the 5-passenger car.

3. 2 in the 2-passenger car, 2 in the 4-passenger car, and 5 in the 5-passenger car.

4. 2 in the 2-passenger car, 3 in the 4-passenger car, and 4 in the 5-passenger car.

5. 2 in the 2-passenger car, 4 in the 4-passenger car, and 3 in the 5-passenger car. <span>
</span></span>

3 0

3 years ago

The equation h(t)=−16t2+120t+65 gives the height of a firework, in feet, t seconds after it is launched from a platform.

kakasveta [241]

Answer:

The height of the platform is 65 ft

Step-by-step explanation:

Let

t -----> the time in seconds after the launch of the fireworks from a platform

h(t) ----> the height of a firework in feet

we have

$h(t)=-16t^{2}+120t+65$