Answer:
<u>2,365,200,000 times</u>
Step-by-step explanation:
<u>Given</u> :
- Average heartbeat rate = 60 times/minute
- Avg. human lifespan = 75 years
<u>To Find</u> :
- Number of heartbeats in lifetime of 75 years
<u>Solving</u> :
- Let the number we require be n
- n = average heartbeat rate x 60 x 24 x 365 x 75
- n = 60 x 60 x 24 x 365 x 75
- n = 3600 x 24 x 365 x 75
- n = 86400 x 365 x 75
- n = 31536000 x 75
- n = <u>2,365,200,000 times</u>
Population of the state of New York is 19.65 million.
Million is equal to 1*10^6
So 19.65*10^6
Population of New York city is 8,406,000.
It is equal to 8.406*10^6
Therefore people in New York state did not in New York city is,
19.65*10^6 - 8.406*10^6
11.244*10^6
1.1244*10^7
Answer:
raise a product to a power.
you first simplify the parenthesis in the numerator by raising 2 by the power of three and multiplying the exponents.
i suck at explaining, but after the first step the expression looks like:

Step-by-step explanation:
Answer:
y=2x+3
Step-by-step explanation:
first use the y2-y1/x2-x1 then use y=mx+b after
plug in 3 for y2 and 5 for y1
then plug in 0 for x2 and 1 for x1
=
and 2 is ur slope
___________________
now use y=mx+b
i usually use the first point but u can u anyone u want
plug in 1 for x
plug in 5 for y
and plug in 2 for m
5=2(1)+b
5=2+b
subtract 2 on both sides
5-2=3
3=b and b is ur y-intercept
y=2x+3
hope this helps
Answer:

Step-by-step explanation:
So, the function, P(t), represents the number of cells after t hours.
This means that the derivative, P'(t), represents the instantaneous rate of change (in cells per hour) at a certain point t.
C)
So, we are given that the quadratic curve of the trend is the function:

To find the <em>instanteous</em> rate of growth at t=5 hours, we must first differentiate the function. So, differentiate with respect to t:
![\frac{d}{dt}[P(t)]=\frac{d}{dt}[6.10t^2-9.28t+16.43]](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdt%7D%5BP%28t%29%5D%3D%5Cfrac%7Bd%7D%7Bdt%7D%5B6.10t%5E2-9.28t%2B16.43%5D)
Expand:
![P'(t)=\frac{d}{dt}[6.10t^2]+\frac{d}{dt}[-9.28t]+\frac{d}{dt}[16.43]](https://tex.z-dn.net/?f=P%27%28t%29%3D%5Cfrac%7Bd%7D%7Bdt%7D%5B6.10t%5E2%5D%2B%5Cfrac%7Bd%7D%7Bdt%7D%5B-9.28t%5D%2B%5Cfrac%7Bd%7D%7Bdt%7D%5B16.43%5D)
Move the constant to the front using the constant multiple rule. The derivative of a constant is 0. So:
![P'(t)=6.10\frac{d}{dt}[t^2]-9.28\frac{d}{dt}[t]](https://tex.z-dn.net/?f=P%27%28t%29%3D6.10%5Cfrac%7Bd%7D%7Bdt%7D%5Bt%5E2%5D-9.28%5Cfrac%7Bd%7D%7Bdt%7D%5Bt%5D)
Differentiate. Use the power rule:

Simplify:

So, to find the instantaneous rate of growth at t=5, substitute 5 into our differentiated function:

Multiply:

Subtract:

This tells us that at <em>exactly</em> t=5, the rate of growth is 51.72 cells per hour.
And we're done!