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9966 [12]
3 years ago
11

What applies the power of a product rule to simplify (5t)^3

Mathematics
1 answer:
Bogdan [553]3 years ago
7 0
You need to put in this power every factor of a product.
(5t)³=5³*t³=125t³
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What is the distance between the two endpoints in the graph below? if necessary,round your answer to two decimal places
enyata [817]
The distance between the two endpoints is :

14.212 or about 14.21 ( rounded to the nearest hundredth)
5 0
3 years ago
Read 2 more answers
Widget Wonders produces widgets. They
navik [9.2K]
Find the total cost of producing 5 widgets. Widget Wonders produces widgets. They have found that the cost, c(x), of making x widgets is a quadratic function in terms of x. The company also discovered that it costs $15.50 to produce 3 widgets, $23.50 to produce 7 widgets, and $56 to produce 12 widgets.
OK...so we have
a(7)^2 + b(7) + c = 23.50 → 49a + 7b + c = 23.50 (1)
a(3)^2 + b(3) + c = 15.50 → 9a + 3b + c = 15.50 subtracting the second equation from the first, we have
40a + 4b = 8 → 10a + b = 2 (2)
Also
a(12)^2 + b(12) + c = 56 → 144a + 12b + c = 56 and subtracting (1) from this gives us
95a + 5b = 32.50
And using(2) we have
95a + 5b = 32.50 (3)
10a + b = 2.00 multiplying the second equation by -5 and adding this to (3) ,we have
45a = 22.50 divide both sides by 45 and a = 1/2 and using (2) to find b, we have
10(1/2) + b = 2
5 + b = 2 b = -3
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9(1/2) + 3(-3) + c = 15.50
9/2 - 9 + c = 15.50
-4.5 + c = 15.50
c = 20
So our function is
c(x) = (1/2)x^2 - (3)x + 20
And the cost to produce 5 widgets is = $17.50
7 0
3 years ago
you take out a mortgage for 350,000$ at 4% compounded monthly your payment is 1671$ write a recursive formula
Ymorist [56]

Answer:

Not sure if this is right but it might be something like

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3500,000-4%y/1671m

Step-by-step explanation:

The numbers we know are 350,000 4% and 1671 per month

350,000 is the full mortgage

4% is the APR or annual percentage rate like interest

and we know the monthly for the mortgage is 1671 per month

4 0
3 years ago
Which of the following ratlos is not equivalent to 6:10?
Len [333]

Answer:

24/45 or 9/15

Step-by-step explanation:

none of these is equivalent to 6:10

7 0
3 years ago
Determine which problem matches the given inequality.
sergey [27]

Answer:

There are less than 5 1/2 cups of sugar.

Step-by-step explanation:

E D G E N U I T Y

Have a good day! (◕ヮ◕ヽ)

8 0
3 years ago
Read 2 more answers
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