The rate of the current is 2.03 mph if the small motorboat travels 8mph in still water. It takes 3 hours longer to travel 44 miles going upstream than it does going downstream.
<h3>What is a quadratic equation?</h3>
Any equation of the form 
Where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
Let's suppose the rate of the current = r
The time it takes to go downstream + 4 hours = time to go upstream
As we know the:
Now,
After solving:
After cross multiplication
44(8+r) - 44(8-r) = 3(8+r)(8-r)
88r = 3(64 - r²)
3r² + 88r - 192 = 0
After solving the above quadratic equation, we get:
r = 2.03 or
r=−31.37 (reject as it is negative)
So, the r =2.03 mph
Thus, the rate of the current is 2.03 mph if the small motorboat travels 8mph in still water. It takes 3 hours longer to travel 44 miles going upstream than it does going downstream.
Learn more about quadratic equations here:
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Answer:
77.08
Step-by-step explanation: basic math
Answer: B (I think). Explanation: Turn the mixed fractions into improper fractions. Get a common denominator by multiplying the denominator and the numerator by the same number (common denominator is 8), then add the three improper fractions together. Eden grew 35/8 inches and Eva grew 33/8 inches. When we turn them into mixed fractions we will get, (Eden: 4 3/8) and (Eva: 4 1/8). After that, we subtract them both and get 2/8. We know that 1/4 is 2/8 since if we multiply 1/4 by 2 (by the denominator and numerator), we will get 2/8. (Sorry if you still don’t understand).
Since the angle they have to equal is 97 the answer is 12
Answer:
f(x) = 17x +17
136 in
Step-by-step explanation:
Changing the number of boxes by 1 changes the stack height by 17 inches, so the arithmetic sequence can be written as
... f(x) = x₁ +d(x -1)
The first term is shown to be 34, so the function is
... f(x) = 34 +17(x -1)
This can be simplified to ...
... f(x) = 17x +17
_____
From 1 box to 4 boxes (addition of 3 boxes), the height changed from 34 in to 85 in (addition of 51 in).
Adding 3 more boxes to make 7 boxes in the stack should add 51 more inches:
... 85 in + 51 in = 136 in
___
The problem statement tells you to use the above function to solve the problem, so ... (put 7 where x is, then do the arithmetic)
... f(7) = 17·7 +17 = 119 +17 = 136 . . . inches
