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Dmitriy789 [7]
3 years ago
5

PLS HELP EMERGENCY!!!

Mathematics
1 answer:
stepan [7]3 years ago
3 0

Answer:

P(t) = 29816591(1.025)^{t-5}

Step-by-step explanation:

Equation:

The equation for the population of California, in t years after 1990, is given by:

P(t) = 29816591(1.025)^t

In which 29816591 is the initial population, that is, the population in 1990.

From 1995:

First, we have to find the population in 1995(5 years after 1990), which is P(5), which we will consider as the initial value in the equation.

So

P(5) = 29816591(1.025)^5 = 33734736

So

Since t is still given in years after 1990, we have to subtract t by 1995 - 1990 = 5 in the exponent. So

P(t) = 29816591(1.025)^{t-5}

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A cyclist is travelling at an average speed of 15km/HR. How long will it take to travel a distance of 52 1/2km
vitfil [10]

Answer:

3.5hour

Step-by-step explanation:

Average speed = Distance/Time

Given

Distance = 52 1/2 km

Speed = 15km/hr

Required

Time

Substitute the given values in the formula

Time = (52 1/2)/15

Time= 105/2 * 1/15

Time = 105/30

Time  = 3.5hour

hence it will take 3.5hr to travel a distance of 52 1/2km

8 0
3 years ago
A plumbers plastic pipe is 4 m long, has an inside diameter of 4.0 cm and an outside diameter of 5.0cm. What is the volume of th
SCORPION-xisa [38]

Answer: V=0.0028278\ m^3

Step-by-step explanation:

Given

Length of the pipe l=4\ m

Inside diameter of the pipe d_i=4\ cm

Outside diameter of the pipe d_o=5\ cm

Volume of the pipe

\Rightarrow V=\dfrac{\pi }{4}[d_o^2-d_i^2]\\\\\text{Insert the values}\\\\\Rightarrow V=\dfrac{\pi}{4}[5^2-4^2]\times 10^{-4}\times 4\\\\\Rightarrow V=28.278\times 10^{-4}\ m^3\\\\\Rightarrow V=0.0028278\ m^3

5 0
3 years ago
Need help can someone plz help me solved this problem ASAP! Need help I will mark you as brainiest
MrRissso [65]

Answer:  2, 6

<u>Step-by-step explanation:</u>

Triangle Inequality Theorem states that the sum of two sides must be GREATER than the third side.

RS + ST > RT    and     RS + RT > ST     and     ST + RT > RS

2x + 4x > 12                  2x + 12 > 4x                  4x + 12  > 2x

       6x > 12                          12 > 2x                          12  > -2x

         x > 2                            6 > x                             -6 < x

         2 < x                             x < 6                             invalid

Answer:  2 < x < 6      

Graph:     O----------------------O

                2                          6

<em> Note: -6 is invalid because you cannot have a negative length. </em>                     

5 0
4 years ago
All the equations that graph with the same y-intercept
ivolga24 [154]

Answer:

all that got a "-8" part

Step-by-step explanation:

for x=0 they are all at 0,-8

the y-intercept is at x=0 and can easily be calculated by replacing x with said 0, only the term "-8" remains

6 0
3 years ago
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nlexa [21]
(X,Y) 0=X and 0=Y if you plug in 0 for X and 0 for Y in Y=8X it will be 0=8(0). 8 times 0 is 0 which is the equation
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