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UkoKoshka [18]
2 years ago
5

Please help me solve this

Mathematics
1 answer:
Snowcat [4.5K]2 years ago
5 0

Answer:

its 12

Step-by-step explanation:

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A square with side x is changing with time where x(t)=3t+1. What is rate of change of the area of the square when t=2 seconds.
GuDViN [60]

Answer:

Rate of change of the area of the square is 42 units at t = 2.

Step-by-step explanation:

We note that the area of the square is given by: A(x) = x^2 but we aim to find \frac{dA}{dt}. But we can use the chain rule to pull out that dA/dt. Doing so gives us:

\frac{dA}{dt} = \frac{dA}{dx} \times \frac{dx}{dt}.

Now, \frac{dA}{dx} = 2x (by the power rule and \frac{dx}{dt} = 3.

But since we have "x" and not "t", we want to find what x is when t = 2. Substituting t = 2 gives us x(2) = 3(2) + 1 = 7.

So, finally, we see that:

\frac{dA}{dt} = 2(7) \times 3 = 14 \times 3 = 42.

7 0
3 years ago
Read 45 pages of her book in 2 hours .at that rate how many would she read in 12 hours?
8_murik_8 [283]
2 hours = 45 pages

1 hour = 45 ÷ 2 = 22.5 pages

12 hours = 22.5 x 12 = 270 pages

Answer; 270 pages
5 0
3 years ago
One bag of apples costs $4. Five bags of apples costs $15. Which has the better unit<br> price?
Ivenika [448]
The first one is $4 per bag, as given

For the he second one, you divide $15 by 4, you got $3,75 per bag

Therefore, the second one has the better unit price
3 0
2 years ago
Read 2 more answers
X greater than or equal to 4
Andrei [34K]

Answer:

x \geqslant 4

The expression above means x can be any number starting from 4 and above .

3 0
3 years ago
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Eight students share 12 oatmeal muffins equally and 6 students share 15 Apple muffins equally. Carmine is in both groups of stud
enyata [817]
I think what you have to do here is first find out how many each student of each group gets. So, let's start off with how many oatmeal muffins each of the 8 students get. To do this, divide the 12 oatmeal muffins by 8, which gets you 1.5 oatmeal muffins per student.

Then, find out how many Apple muffins each of the 6 students get. To do this, divide the 15 Apple muffins by the 6 students, which leaves us with 2.5 Apple muffins per student.

Since Carmine is in both groups, she receives an equal share of both types of muffins. You add the 1.5 oatmeal muffin and 2.5 Apple muffins to see that Carmine gets 4 muffins in total. I hope this helped :)
5 0
3 years ago
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