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max2010maxim [7]
2 years ago
15

The total load on a certain service is 525 kVA. One-third of this load is from motors; 3/5 is lighting; and 1/15 is from other l

oads. What is the kVA of each of these breakdowns of loads? Match with the correct answer shown below.
Mathematics
1 answer:
xxMikexx [17]2 years ago
5 0

Answer:

Motors 175 kVA

Lighting 315 kVA

Other loads 35 kVA

Step-by-step explanation:

The total load on a certain service is 525 kVA.

One-third of this load is from motors, then

\dfrac{1}{3}\cdot 525=175\ kVA

is from motors.

\frac{3}{5} is lighting, then

\dfrac{3}{5}\cdot 525=3\cdot 105=315\ kVA

is lighting.

\frac{1}{15} is from other loads, then

\dfrac{1}{15}\cdot 525=35\ kVA

is from other loads.

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vitfil [10]

Answer:

V(t) = 25000 * (0.815)^t

The depreciation from year 3 to year 4 was $2503.71

Step-by-step explanation:

We can model V(t) as an exponencial function:

V(t) = Vo * (1+r)^t

Where Vo is the inicial value of the car, r is the depreciation rate and t is the amount of years.

We have that Vo = 25000, r = -18.5% = -0.185, so:

V(t) = 25000 * (1-0.185)^t

V(t) = 25000 * (0.815)^t

In year 3, we have:

V(3) = 25000 * (0.815)^3 = 13533.58

In year 4, we have:

V(4) = 25000 * (0.815)^4 = 11029.87

The depreciation from year 3 to year 4 was:

V(3) - V(4) = 13533.58 - 11029.87 = $2503.71

7 0
2 years ago
The rabbit population on a small island is observed to be given by the function P(t) = 130t − 0.3t^4 + 1100 where t is the time
Montano1993 [528]
The maximum occurs when the derivative of the function is equal to zero.
P(t)=-0.3t^{4}+130t+1100 \\ P'(t)=-1.2t^{3}+130 \\ 0=-1.2t^{3}+130 \\ 1.2t^{3}=130 \\ t^{3}= \frac{325}{3}  \\ t=4.76702
Then evaluate the function for that time to find the maximum population.
P(t)=-0.3t^{4}+130t \\ P(4.76702)=-0.3*4.76702^{4}+130*4.76702+1100 \\ P(4.76702)=1564.79201
Depending on the teacher, the "correct" answer will either be the exact decimal answer or the greatest integer of that value since you cannot have part of a rabbit.
7 0
2 years ago
by visual inspection, determine the best-fitting regression model for the data plot below. A. No pattern B. Quadratic C.Linear D
liq [111]

Answer:

C) Linear

Step-by-step explanation:

We can see from the plot that the data approach a straight line.

This means we can draw a line of best fit through this data and it should hit several data points; thus the answer is linear.

4 0
2 years ago
Read 2 more answers
Nikita ran a 5-kilometer race in 39 minutes (0.65 of an hour) without training beforehand. In the first part of the race, her av
Sergeeva-Olga [200]
First part of the race

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distance1 = 5 km - x
time 1 = 0.65 h - t

Second part of the race

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distance2 = x
time2 = t

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5 -x = 8.75(0.65) - 8.75t

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5 0
2 years ago
Read 2 more answers
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adell [148]

Answer:

27,720 ways

Step-by-step explanation:

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P = \frac{(N_1+N_2+N_3)!}{N_1!N_2!N_3!}

If there are five linden​ trees, four white birch​ trees, and three bald cypress trees:

P = \frac{(5+4+3)!}{5!4!3!}\\P=27,720\ ways

The landscaper can plant the trees is 27,720 distinct ways.

7 0
2 years ago
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