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elena-s [515]
3 years ago
15

Please help. Explain please.

Mathematics
2 answers:
Mazyrski [523]3 years ago
5 0
That is asking for the sum of the equation 2n+1

up to 5

2(1) + 1 = 3
2(2) +1 = 5
2(3) +1 = 7
2(4)+1 = 9
2(5)+1 = 11

3+5+7+9+11 = 35

answer is 35
Sunny_sXe [5.5K]3 years ago
4 0
When n = 1, 2(1) + 1 = 3

When n = 2, 2(2) + 1 = 5

When n = 3, 2(3) + 1 = 7

When n = 4, 2(4) + 1 = 9

When n = 5, 2(5) + 1 = 11

Sum = 3 + 5 + 7 + 9 + 11 = 35

----------------------------------------------------
Answer: 35
----------------------------------------------------
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Water is flowing into and out of a small reservoir. The total amount of water can be modeled by R, where R(t)=20-15sint^2/25 cub
cestrela7 [59]

9514 1404 393

Answer:

  a) about -1.03 cubic feet per hour

  b) R'(t) = -6/5t·cos(t^2/25); the rate of flow into the reservoir

  c) 0.859 and 5.972 hours

  d) 9.838 hours

Step-by-step explanation:

The rest of the problem statement is in the first attachment. See the second attachment for the graphing calculator input/output.

a) The average rate of change on the interval [0, 8] is ...

  (R(8) -R(0))/(8 -0) ≈ -1.03004 . . . cubic feet per hour

__

b) The derivative can be found using the chain rule.

  R'(t) = -15(2t/25)cos(t^2/25)

  R'(t) = -6/5t·cos(t^2/25)

The derivative of the volume is the rate of change of volume, that is, the flow rate into the reservoir.

__

c) To find the time values when R' = 'average rate of change', we defined the constant a1 to be that average rate of change. The graphing calculator shows the curve R'(t)-a1, which has zeros at the times of interest. The times for which the instantaneous rate of change equals the average rate of change are t = 0.859 and t = 5.972 hours.

__

d) The time of interest is beyond the domain of the function. We cannot use the given function to determine the time of interest.

However, if we extend the domain to include the time of interest, we find it is t = 9.838 hours.

8 0
2 years ago
Laura used 12 1/2 square feet of cloth to make 3 dresses. How many square feet of cloth are required to make 12 similar dresses?
kumpel [21]

Answer: 50

Step-by-step explanation: 12 1/2 times 4 is 50

6 0
3 years ago
If r(x) = 3x - 1 and s(x) = 2x + 1, which expression is equivalent to (r/s)(6)?
Nana76 [90]

Answer:

Step-by-step explanation:

(r/s)(x) is the quotien of r(x) = 3x - 1 and s(x) = 2x + 1:

  r            3x - 1

(-----)(x) = ----------

  s            2x + 1

8 0
3 years ago
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kolbaska11 [484]
1. shape
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6 0
3 years ago
The management of an electronics firm has determined that the profit the company earns is a function of thenumber of employees i
ruslelena [56]

we have the function

P(x)=\ln\left|4x+1\right|+3x-x^2

For x=2

substitute

\begin{gathered} P(x)=\operatorname{\ln}\lvert4(2)+1\rvert+3(2)-(2)^2 \\ P(x)=\operatorname{\ln}\lvert9\rvert+2 \\ P(x)=4.20\text{ millions of dollars} \end{gathered}

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<h2>the answer is 4.20 million dollars</h2>
6 0
1 year ago
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