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FinnZ [79.3K]
3 years ago
7

A 25-N net force is applied to a rolling cart and produces an acceleration of 5 m/s2.What is the cart's mass

Mathematics
1 answer:
VARVARA [1.3K]3 years ago
8 0
Remember that Force= mass*acceleration.
Plug in the known values

25 = m* 5

Divide both sides by 5
5= m

Final answer: The mass is 5 kg
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Questions in Image below. Please explain how you got your answers in depth please.
irakobra [83]

Step 1

Revenue (sometimes referred to as sales revenue) is the amount of gross income produced through sales of products or services. This, in the context of the question, means that the revenue generated from the sales of tickets is given by the function below. We are now required to find the price that tickets will be sold at in a day based on the function that will make the revenue to be equal to $0.

The revenue is given by the function;

\begin{gathered} f(p)=150p-5p^2 \\ f(p)\text{ is the revenue and should be equal to 0 according to the question.} \\ p=\text{ The price of tickets for the day for the revenue to be 0} \end{gathered}

To solve this problem or to find this price at which tickets will be solved to give us zero revenue, we must equate the given function for the revenue to 0 and find the value of p, the price of the tickets that make the function to be equal to 0.

For the theatre to make $0 in revenue, this means f(p)=0.

Therefore, we will equate f(p) to 0

Step 2

Equate f(p) to 0

\begin{gathered} 0=150p-5p^2 \\ p(150-5p)=0----(\text{factorize)} \\ p=0 \\ 0r \\ 150-5p=0 \\ 150=5p \\ \frac{5p}{5}=\frac{150}{5} \\ p=30 \\ p=0\text{ or 30} \end{gathered}

Therefore the revenue to be zero, the price of the ticket will be $0 or $30 but the question asked us how high the ticket price will be to get a revenue of 0. Both 0 and 30 gave us revenue of 0 but $30 is higher therefore, the answer will be $30.

Check;

\begin{gathered} 150p-p^2=0 \\ \text{If the price of tickets=0} \\ 150(0)-5(0^2)=0 \\ \text{If p=30} \\ 150(30)-5(30^2)=4500-4500=0 \end{gathered}

Both give us 0 revenue but $30 is higher and the right answer.

Step 3

The equation you can write for revenue of $700 is;

\begin{gathered} 700=150p-5p^2 \\ 5p^2-150p+700=0_{} \end{gathered}

6 0
1 year ago
The distance between P and T on the coordinate grid is ___ units. (Input whole numbers only.) Image of a coordinate grid with po
Vlada [557]
That would be 25 units. You can draw it out and you would get 25 units, or you could see the difference in -10 and 15, their distance would be 25 units.

That made no sense.
3 0
3 years ago
Read 2 more answers
If any one does not need p ebt can they give it to me i need it please answer only who wants to give
GREYUIT [131]

Answer:

hi so its actually illegal i think to do that but you can buy one online!

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
SOMEONE PLS HELP ME PLEASE I BEG U AND SHOW WHY PLS I BEG
Illusion [34]

Answer:

The answer is less than one

Step-by-step explanation:

Because 1/2= less than 3

1 1/2= 3 and is less than 9

2 1/2= 5 not 15

8 0
2 years ago
Read 2 more answers
Determine the value of x. <br><br> 1) 14.75<br> 2)15.25<br> 3)11.92<br> 4)18.56
Leto [7]
Opposite angles are supplementary, the sum is 180 degrees.
6x+10+81.5=180
Combine like terms:
6x+91.5=180
Subtract 91.5 to both sides:
6x=88.5
Divide 6 to both sides:
x=14.75
The answer is 1) 14.75
Hope this helped!
3 0
2 years ago
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