D. A sparrow has made a nest in the fern on the porch.
Answer:
Mean= the average of the number set= 18+18+63+63+84=246/5=49.2
Median- the number in the middle of the set= 63
Mode- the number(s) that repeat=1 8, 63
Range- the amount between the highest and lowest numbers= 84-18=66
Step-by-step explanation:
The area enclosed by the curves y=x³-8x² 18x-5 and y=x + 5 is 71/6 or 11.83 square units.
<h3>What is integration?</h3>
It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.
We have two curves:
y=x³-8x² 18x-5 and
y=x + 5
The intersection point will be:
(1, 6), (2, 7), and (5, 10)
From the graph, we can integrate to evaluate the area enclosed by the curves:
After calculating, we get:
Area = 142/12 = 71/6 or 11.83 square units
Thus, the area enclosed by the curves y=x³-8x² 18x-5 and y=x + 5 is 71/6 or 11.83 square units.
Learn more about integration here:
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Answer:
x= -5
Step-by-step explanation:
f(x) = -5x +10
plug in 35 for f(x)
35= -5x +10
ten move 10 to the other side
25= -5x
then divide by -5
-5 = x
Answer:
b^2 = 5, a^2 = 4 and k= -2.
Step-by-step explanation:
In this case we have the first focus (-2, -2), the center (1, -2) and from the graph we can deduce that the distance between the vertices 2a is 4. So 2a=5 then a=2, thus, a^2 = 4.
The hyperbola is centered at the point (h, k) = (1, -2) thus we can conclude that h=1 and k = -2.
We can deduce from the graph that the distance from the center to each focus is 3, so c=3. (c represents de distance from center to focus).
We know that c^2 = a^2 + b^2
Solving for b^2, we have that:
b^2 = c^2 - a^2 = 3^2 - 2^2 = 5
Then b^2 = 5