Answer:
He worked a total of 5 hours.
Step-by-step explanation:
The first hour the man makes $35 dollars for the first hour then for the other hours he earns $23 dollars, right? So we start off with 35.
35 = one hour.
35 + 23 = 2 hours . = 58.
35 + 23 + 23 = 3 hours. = 81.
35 + 23 + 23 + 23 = 4 hours. = 104.
35 + 23 + 23 + 23 + 23 = 5 hours. = 127.
We were looking for if the man earned $127 dollars how many hours would be be working.
He'd be working 5 hours.
Hope this helps (:
Hello There!
Slope: 1
Equation: y = x - 2
Let's start by finding the slope. To find the slope of a given equation, subtract the y values over the x values.
y1 - y2 / x1 - x2 ⇒ 3 - 0 / 1 - - 2 ⇒ 3 / 3 ⇒ 1
This means we have a slope value of 1.
Now, to find an equation. We will find the equation in slope intercept form, or y = mx + b. (In this case, m = the slope and b = the y-intercept, and x and y equal your x and y values fro a given point.)
To get the equation, we need to find the value of b, or the y intercept. To do this, we need to plug in the values we know into the equation.
we know m is the slope, and we know the slope is one so we can place that into the equation. We also know the points (0,-2) (3,1). We can place one of them into the equation for the values x and y.
1 = 1(3) + b
Now, simplify.
1 = 1(3) + b
1 = 3 + b
-2 = b
So, our y intercept is -2, we can plug that into the equation, making our final equation y = x - 2. We don't need to put y = 1x for the slope since multiplying something by 1 is doesn't change the number.
I hope this helps! I know my explanation might have been kind of confusing so if you need more help let me know in the comments !
Simplify 14/24 to the simplest form - Fractions Simplifier. Use this fractions simplifier calculator to reduce any fraction to lowest terms. You just need to enter the numerator and denominator values. The answer will be a proper fraction or a mixed number and also the decimal equivalent to the given fraction.
Answer:
a) 1296 bacteria per hour
b) 0 bacteria per hour
c) -1296 bacteria per hour
Step-by-step explanation:
We are given the following information in the question:
The size of the population at time t is given by:

We differentiate the given function.
Thus, the growth rate is given by:

a) Growth rates at t = 0 hours

b) Growth rates at t = 3 hours

c) Growth rates at t = 6 hours
