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DerKrebs [107]
3 years ago
6

Find the derivative of g(t)=3t^2+2t at t=-1 algebraically

Mathematics
1 answer:
levacccp [35]3 years ago
3 0

Answer:

8.

Step-by-step explanation:

If y = ax^n then the derivative y' = anx^(n-1)

g(t) = 3t^2 + 2t so  the derivative g'(t)

2*3 t^(2-1) + 2t(1-1)

= 6t + 2

At t =1 its value is  6 + 2 = 8.

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Mr. Rogers has $4.62. He has 3 times as many dimes as nickels and 6 more pennies than dimes. How many coins of each kind does he
Marysya12 [62]
Let’s make x = # of nickels. Then 3x = # of dimes and 3x+6 = # of pennies. A nickel is 5 cents, a dime is 10 cents and a penny is 1 cent.

The money she has should be .05(x) + .10(3x) + .01(3x+6) = 4.62 or to make it simpler: 5(x) + 10(3x) + 1(3x+6) = 462.

5x + 30x + 3x + 6 = 462

38x + 6 = 462

38x = 456

x = 12.

So she has 12 nickels (12 * $0.05 = $0.60), 36 dimes (36 * $0.10 = $3.60) and 42 pennies (42 * $0.01 = $0.42). $3.60 + $0.60 + $0.42 = $4.62.
3 0
4 years ago
A regular hexagon has an apothem of 14.7 inches and a perimeter of 101.8 inches. what is the area of the hexagon? square inches
WINSTONCH [101]

Answer:

748.23 in^2.

Step-by-step explanation:

Area = 1/2 * apothem * perimeter

        = 1/2 * 14.7 * 101.8

        =  748.23 in^2.

3 0
2 years ago
Read 2 more answers
Instructions
Anuta_ua [19.1K]

Step-by-step explanation:

Drag the empty jar to the lake to get a water sample  

2. Fill two beakers with 600 ml water from the jar

3. Put the “1” and “2” labels on each beaker  

Take the pH meter to Beaker 1 and record the pH and description in Table A  

Take the pH meter to Beaker 2 and record the pH and description in Table B

 Add 1 unit of each base (soap, alkaline batteries, baking soda) to Beaker 2 and record the pH and description in Table B, and clear

This means that my hypothesis at the beginning was correct, more of m/s means KE will increase proportionally because they are all linear. I found it surprising when the bean bag height went over the water bottle drop mark.  

4.     To conclude, my hypothesis matched my data. The data values went up when more mass or speed was added. This means if I were in a situation where I needed more kinetic energy for something, I would know to increase mass or the speed of the object giving it energy.  

The reason that this hypothesis is correct is when you have more mass, you have more energy. So, when you drop let's say a baseball, it isn’t that heavy so it would only launch the bean bag so far. But a bowling ball is very heavy and has lots of energy when falling because of that, it would make the bean bag go very high.  

To make this experiment better, I would use a smoother material for the lever so energy wouldn’t be lost by friction from wood rubbing together. Also, maybe a scanner or video camera to more accurately record how far the bean bag went. All of these would help the lab get more precise results, maybe they could be used in a future lab.

7 0
3 years ago
Read 2 more answers
8. Which of the following equations represent the problem? a. 63 = h + 2(h) b. 63 = (h+2)h C. 63 = 2h + 2 d. 63 = h? + 2​
Marta_Voda [28]

Answer:

no b 63=(h+2)

Step-by-step explanation:

this is your ans

5 0
3 years ago
Help me please and thank you
svlad2 [7]
The answer is Between B and D. Did you do the math
6 0
3 years ago
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