Answer:
See image
Step-by-step explanation:
This is to help you practice exponent rules. The rules are short cuts, which are good bc they're faster but bad bc they take away the meaning of the work. If you're trying to remember a rule, think through the meaning. See image.
So, "multiply exponents" and "product of powers" are basic two equivalent phrases! I think the answers on the image should work, but jic if not switch those two.
The Add exponents rule and Subtract are 100% correct.
We know one side of the smaller rectangle, 6ft. Therefore the longer side is 78/6 ft = 13ft.
The ratio of small to large side is 6:10, so the larger rectangles other length is (13 / 6) * 10 ft = 21.666... ft.
Thus the area of the larger rectangle is 21.666... * 10 = 216.666... ft^2, and hence to the nearest whole number it is 217 ft^2
Let x = length of the park
Let y = width of the park
Because the area is 392392 ft², therefore
xy = 392392 (1)
Because three sides of fencing measure 5656 ft, therefore
2x + y = 5656 (2)
That is
y = 5656 - 2x (3)
Substitute (3) into (1).
x(5656 - 2x) = 392392
5656x - 2x² = 392392
2x² -5656x + 392392 = 0
x² - 2828x + 196196 = 0
Solve with the quadratic formula.
x = (1/2)*[2828 +/- √(2828² - 4*196196)]
= 2756.83 or 71.17
Answer:
The possible dimensions are 2756.8 ft and 71.2 ft (nearest tenth)
The function p(t) for the number of visitors over 1-year is an exponential function
- The increasing interval is: [33,52]
- The decreasing interval is: [0, 33]
- There is no critical point
<h3>The increasing and the decreasing interval</h3>
The function is given as:
p(t) = 119 + (t-83)e^0.02t
Start by plotting the graph of the function p(t).
From the graph (see attachment), we have the parameters to be:
- Increasing: [33,52]
- Decreasing: [0, 33]
- Critical point = None
Hence, the function has no critical point
Read mroe about critical points at:
brainly.com/question/7805334
The domain of a relation is all the x - values the relation can take, so:
domain = {-8, -6, 5}
The range, in addition, is all the y - values the relation can take, so:
range = {-3, -1, 0, 5}
