It will take 12 seconds, 1/2+1/2=1
So if you count by 2: 2,4,6,8,10,12
You can see that it would take 12 seconds
Hope this was helpful :)
Answer:
StartFraction 1 Over 15 EndFraction left-parenthesis 10 h plus 60 right-parenthesis equals StartFraction 1 Over 10 Endfraction left-parenthesis 10 h right-parenthesis
Step-by-step explanation:
The desired equation equates 1/15 of the amount Lindsay earned with 1/10 the amount without the bonus:
StartFraction 1 Over 15 EndFraction left-parenthesis 10 h plus 60 right-parenthesis equals StartFraction 1 Over 10 Endfraction left-parenthesis 10 h right-parenthesis
_____
<em>Comment on the form of the answer</em>
If you don't like answers in this form, please do not post questions in this form. Ordinary math symbols are much appreciated.
<span>y(t) = a exp(3t) + b exp(4t)
conditions, y(0) = 3
y'(0) = 3
y(0) = a exp(3 x 0) + b exp(4 x 0)
= a exp(0) + b exp(0)
= (a x 1) + (b x 1)
= a + b
y'(0) = 0
so the linear equation is, a + b = 3</span>
Answer: 0.965
Step-by-step explanation:
Given : Water use in the summer is normally distributed with


Let X be the random variable that represents the quantity of water required on a particular day.
Z-score : 

Now, the probability that a day requires more water than is stored in city reservoirs is given by:-

We can see that on comparing the above value to the given P(X > 350)= 1 - P(Z < b) , we get the value of b is 0.965.
The given data is
x f(x)
---- --------
12 0
20 800
30 1800
where
x = number of clients per month
f(x) = monthly revenue
A graph of the data is shown below.
Let the equation of the line be
y = mx + c
The x-intercept is 12, therefore
12m + c = 0 (1)
The line passes through (30, 1800) and (12,0). Therefore the slope is
m = 1800/(30-12) = 100 (2)
From (1), obtain
c = -12m = -12*100 = -1200
Therefore
y = 100x - 1200
Answer: D. f(x) = 100x - 1200