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AveGali [126]
3 years ago
11

Can someone help plz ... mark brainliest ❤️

Mathematics
1 answer:
alex41 [277]3 years ago
8 0

Answer:

Top:(4r⁹+3r³-5)

Bottom: r⁵

Step-by-step explanation:

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A city currently has 31,000 residents and is adding new residents steadily at the rate of 1200 per year. If the proportion of re
dlinn [17]

Answer:

Population of the city after 7 years from now, P(7) = 6370

Given:

Initial Population, P_{i} = 31000

rate, r(t) = 1200 /yr

S(t) = [/tex]\frac{1}{1 + t}[/tex]

Step-by-step explanation:

Let the initial population be  P_{i} = 31000

The population after T years is given by the equation:

P(T) = P_{i}S(T) + \int_{0}^{T}S(T - t)r(t) dt          (1)

Thus, the population after 7 years from now is given by using eqn (1):

P(7) = \frac{3100}{1 + 7} + 1200\int_{0}^{7}\frac{1}{8 - t} dt

P(7) = 3875 - 1200ln(8 - t)|_{0}^{7}

P(7) = 3875 - 1200ln(8 - t)|_{0}^{7}

P(7) = 3875 - 1200(ln(1) - ln(8))

P(7) = 3875 + 2495 = 6370

6 0
3 years ago
If u had 693 cats and 593 died
Katen [24]

Answer:

you would have 100 cats left

4 0
3 years ago
Which expression is equivalent to
Liula [17]

Answer:

The second one from the top

Step-by-step explanation:

x^(5/3) y^1/3)

5 0
3 years ago
Read 2 more answers
Soybeans have a conversion factor of 36.744 (bu/t). How much do 45 bushels weigh?
Dahasolnce [82]

Answer:

1.22

Step-by-step explanation:

Soybeans have a conversion of 36.744

Therefore the amount in which 45 bushels weigh can be calculated as follows

= 45/36.744

= 1.22

Hence 45 bushels weigh 1.22

6 0
3 years ago
A guy wire for a suspension bridge runs from the ground diagonally to the top of the closest pylon to make a triangle. We can us
PolarNik [594]

Answer:

The guy wire lenght is 500 ft.

Step-by-step explanation:

The Pythagorean Theorem says the sum of the squares two adyacent sides is equal to the square of the opposite side.

Applied in this example, we can rephrase it as:

The sum of the square of the pylon height with the square of the distance from the guy wire tip to the pylon is Equal to the  square of the Guy wire lenght.

So:

PylonHeight^{2}  + floordistance^{2} = GuyWireLength^{2} \\160.000 + 90.000 = GuyWireLength^{2} \\\\\sqrt{160.000 + 90.000} =GuyWireLength\\GuyWireLength= 500 ft

4 0
4 years ago
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