For question 3, the answer is f(x)=3x-4.
In question 3, if -7 is f(x), and it is 3x-4, the answer is -1; if -7 is f(x), and the answer is 4x-3, the answer is -1; if -7 is f(x), and it is 1/2x+3, answer is -20; if -7 is f(x), and it is 3x+1/2, the answer is -5/2.
But, if -4 is f(x), and it is 3x-4, the answer is 0; if -4 is f(x), and it is 4x-3, the answer is -1/4.
So f(x)=3x-4 is the answer for question 3.
For question 4, the answer is the last choice.
Like the one above 3x was the rate and -4 is the initial value.
So for this one, 2/3 is the rate and -2 is the initial value.
Answer:
y=4/3
Step-by-step explanation:
Answer:
36 ft
Step-by-step explanation:
So the proportion of the big triangle is 48:4 or 12:1. So if the small triangle’s height is 3 feet, then 3*12 is 36 feet.
Answer:
The 80% confidence interval for the the population mean nitrate concentration is (0.144, 0.186).
Critical value t=1.318
Step-by-step explanation:
We have to calculate a 80% confidence interval for the mean.
The population standard deviation is not known, so we have to estimate it from the sample standard deviation and use a t-students distribution to calculate the critical value.
The sample mean is M=0.165.
The sample size is N=25.
When σ is not known, s divided by the square root of N is used as an estimate of σM:

The degrees of freedom for this sample size are:

The t-value for a 80% confidence interval and 24 degrees of freedom is t=1.318.
The margin of error (MOE) can be calculated as:
Then, the lower and upper bounds of the confidence interval are:

The 80% confidence interval for the population mean nitrate concentration is (0.144, 0.186).
Answer:
+
= 4 + 4 * 3 = 16 = 
Step-by-step explanation:
The Pythagorean Theorem states that the two shorter sides of a right triangle squared and added together will equal the longest side (hypotenuse) of the right triangle squared. The longest side of this right triangle is 4, 4 squared is 16. The two shorter sides of the right triangle are 2 and
, squared individually would be 4 and 12, and added together they also equal 16. These sides are a valid input for the Pythagorean Theorem, so these three sides are the sides of a right triangle. 2 and
being the legs of the right triangle, and 4 being the hypotenuse.