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2 years ago

Consider this function for cell duplication where the cells duplicate every minute.

Mathematics

1 answer:

astraxan [27]2 years ago

3 0

Answer:

A) The 75 is the initial number of cells, and the 2 indicates that the number of cells doubles every minute

Step-by-step explanation:

When x=0 (no minutes have elapsed), the value of the function is ...

f(0) = 75(2^0) = 75(1) = 75 . . . . the initial number of cells

As x increases by 1 (minute), the number of cells is multiplied by 2, so the 2 is the multiplier each minute. It indicates the number doubles. ("double" = "multiply by 2")

x is not defined, but for the function to make any sense, it must represent elapsed minutes.

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Pleasantburg has a population growth model of P(t)=at2+bt+P0 where P0 is the initial population. Suppose that the future populat

yulyashka [42]

Answer:

The population will reach 34,200 in February of 2146.

Step-by-step explanation:

Population in t years after 2012 is given by:

$P(t) = 0.8t^{2} + 6t + 19000$

In what month and year will the population reach 34,200?

We have to find t for which P(t) = 34200. So

$P(t) = 0.8t^{2} + 6t + 19000$

$0.8t^{2} + 6t + 19000 = 34200$

$0.8t^{2} + 6t - 15200 = 0$

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

In this question:

$0.8t^{2} + 6t - 15200 = 0$

So $a = 0.8, b = 6, c = -15200$

Then

$\bigtriangleup = 6^{2} - 4*0.8*(-15100) = 48356$

$t_{1} = \frac{-6 + \sqrt{48356}}{2*0.8} = 134.14$

$t_{2} = \frac{-6 - \sqrt{48356}}{2*0.8} = -141.64$

We only take the positive value.

134 years after 2012.

.14 of an year is 0.14*365 = 51.1. The 51st day of a year happens in February.

So the population will reach 34,200 in February of 2146.

6 0

2 years ago

Someone do this and show the work !!! Please help :)

Romashka [77]

Answer:

Step-by-step explanation:

54 has 4 ones

and 5 tens

37 has 7 ones

and 3 tens

subtracting ones

7 ones are taken from 54

so along with the existing 4, 1 ten is decreased and another 3 ones are decreased resulting in 7 ones now

now 54 has 5-1= 4 tens

subtracting tens we get 4-3=1

Therefore 1 ten and 7 ones

⇒ 17

8 0

3 years ago

What is the solution to the system of equations? HELP

notsponge [240]

I will solve your system by substitution.x=−2;y=23x+3Step: Solvex=−2for x:Step: Substitute−2forxiny=23x+3:y=23x+3y=23(−2)+3y=53(Simplify both sides of the equation)

Answer:x=−2 and y=5/3

so the answer is B (the second choice)
(Hope it helped ^_^)

4 0

3 years ago

Read 2 more answers

You drop a pencil out of window that is 20ft above the ground. Use the formula V^2=64s, where V is speed and s is the distance f

gizmo_the_mogwai [7]

First you substitute in the values so you have
V^2=(64)20
then you just simplify it
V^2=1280
V=the square root of 1280
V= about 35.7770876
or
V=the square root of 256 times the square root of 5
V=16 times the square root of 5

also V would typically be called velocity. it's very similar to speed but it is just easier to remember because it starts with a V

8 0

2 years ago

Write a recursive formula for the sequence 1, 5, 9, 13

11Alexandr11 [23.1K]

Answer:

$\bold{a(n) \ = \ a(n \ + \ 1) \ + \ 4}$