Answer:
-7x^2 + 3x + 5
Step-by-step explanation:
-3x^2 + x + 5 - 4x^2 + 2x
Answer:
The group's claim is not supported at 1% significance level.
Step-by-step explanation:
given that a local group claims that the police issue more than 60 speeding tickets a day in thire area
The data they collected for 2 weeks is given below:
70 48 41 68 69 55 70
57 60 83 32 60 72 58

Std error of mean = 

(Right tailed test at 1% significance level)
Mean difference = 0.10
Test statistic t with df 13 = mean difference/std error
= 0.029
p value = 0.4886
Since p >0.01, we accept null hypothesis
The group's claim is not supported at 1% significance level.
Answer:
The equation is
at a rate of -23%.
Step-by-step explanation:
Decay can be represented by the equation
. We can find the rate at which it decays by using t=3 hours and A=3000. This means
in this context.
After substituting, we divided by 6000 to each side to get 0.5 on the left. Now to solve for r, we will take the natural log of both sides and use log rules to isolate r.
We know
so we were able to cancel it out and divide both sides by 3.
We solve with a calculator
We change -0.23 into a percent by multiplying by 100 to get -23% as the rate.
The equation is
Suppose the dimensions of the rectangle is x by y and let the side enclosed by a house be one of the sides measuring x, then the sides that is to be enclosed are two sides measuring y and one side measuring x.
Thus, the length of fencing needed is given by
P = x + 2y
The area of the rectangle is given by xy,
i.e.

Substituting for y into the equation for the length of fencing needed, we have

For the amount of fencing to be minimum, then

Now, recall that

Thus, the length of fencing needed is given by
P = x + 2y = 24 + 2(12) = 24 + 24 = 48.
Therefore, 48 feets of fencing is needed to enclose the garden.
Answer:
327.21 euros.
Step-by-step explanation: