-16t squared + 16t + 480 t=time after jumping in seconds h=height in feet How many seconds did did it take her to hit the water

Answer:

The answer to your question is r = 10

Step-by-step explanation:

Data

            (x² + 10x   )  +  (y² - 8y   ) = 59

Process

1.- Complete the perfect square trinomials

             (x² + 10x + (5)²) + (y² - 8y + (4)²) = 59 + (5)² + (4)²

2.- Simplify

             (x² + 10x + 25) + (y² - 8y + 16) = 59 + 25 + 16

3.- Factor

             (x + 5)² + (y - 4)² = 100

or             (x + 5)² + (y - 4)² = 10²

4.- Compare the result with the standard form

                 (x - h)² + (y - k)² = r²

then r² = 10²

and  r = 10

The number of bacterial population after 5 hours is; 816

• The formula for the exponential growth of the population is;

N(t) = N_o(1 + r)^(t)

Where;

N(t) is number of bacteria after t hours

N_o is number of bacteria initially

r is growth rate

t is time

• We are given;

N_o = 480

r = 11.2% = 0.112

t = 5

• Thus;

N(5) = 480(1 + 0.112)^(5)

N(5) = 816.14

• Approximating to a whole number gives; N(5) = 816 bacteria

Read more about exponential growth at; brainly.com/question/15316908

Final answer:

The bacterial population after 5 hours with an exponential growth rate of 11.2% per hour and an initial population of 480 bacteria would be approximately 947.1 bacteria.

Explanation:

To calculate the bacterial population after 5 hours with an exponential growth rate of 11.2% per hour and an initial population of 480 bacteria, we can use the formula

P = P0 * (1 + r)^t.

P is the final population, P0 is the initial population, r is the growth rate expressed as a decimal, and t is the time in hours.

Using the given values, the formula becomes: P = 480 * (1 + 0.112)^5.

Solving this equation, the bacterial population after 5 hours would be approximately 947.1 bacteria.

Learn more about bacterial population growth here:

brainly.com/question/14992076

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answer:  

1)y-8=-2/3(x+6) 3)y+8=3/2(x-6)

Answer:

0.4%.

Step-by-step explanation:

If the gears on the machine are not linked to each other, the probability that both replacement gears will fail is 0.4%.