If that is a negative three then the slope is .5 But if the three is not a negative then the answer is -0.1
(4). If we break down this piecewise function, we have 3 main expressions to deal with, 'h(x) = 5 if {x ≥ 4}' (represented by the green graph) 'h(x) = x if {0 ≤ x ≤ 4}' (represented by the blue graph) and 'h(x) = 1 / 2x + 2 if {x < 0}' (represented by the red graph).
Take a look at the attachment below for your graph of these 3 functions / expressions.
(5). For this part we want to determine the average rate of change of the function f(x) = 4x² - 5x - 8 over the interval [- 2,3]. Remember that to calculate average rate of change between the 2 points we use the following formula...
f(b) - f(a) / b - a,
f(3) = 4(3)² - 5(3) - 8 = 4(9) - 15 - 8 = 36 - 15 - 8 = 13,
f(- 2) = 4(- 2)² - 5(- 2) - 8 = 4(4) + 10 - 8 = 16 + 10 - 8 = 18
13 - 18 / 3 - (- 2) = - 5 / 5 = - 1
Therefore the average rate of change of the function f(x) = 4x² - 5x - 8 over the interval [- 2,3] will be - 1.
Assume that adult have IQ scores<span> that are </span>normally distributed<span> with a </span>mean<span> of </span>100<span> ... of </span>15<span>, Find the probability that a randomly selected adult </span>has<span> an </span>IQ<span> that is less ... </span>mean<span> of </span>100<span> and a </span>standard deviation<span>of </span>15<span>. Find the </span>IQ score<span> separating the top ... The Beanstalk Club, a social organization for tall </span>people,has<span> a requirement ...</span>
Answer:
Factored Equation:
A = 4,000,000(1 + r)
If r = 0.14%, the number of bacteria after one hour is calculated by:
4,000,000(1 + 0.14/60)
= 4,000,000(1.002333)
= 4,009,332
After one hour, the petri dish will have produced 4,009,332 bacteria at a growth rate of 0.14%.
Side note: I don't even know if this is right. I just went with what I have.
It's about 94.3m
You have to find the length of the diagonal, subtract the diameter of the circle, then add half of the circumference