Answer:
Heidi (260 cookies)
Step-by-step explanation:
Megan's equation is given as y=8x, where x is the number of bags, and y the number of cookies:
#First calculate Heidi's total number of bags, cookies and cookies:

#Given that both Heidi and Megan make the same number of bags of cookies, Megan's cookies totals to:

Hence, Megan makes 416 cookies.
#From our calculations:

Hence, Heidi makes the least number of cookies(260 cookies) compared to Megan's 416 cookies.
The airplane reaches its maximum height of 81 feet in 12 seconds.
<h3>Behavior of curves</h3>
If y =
, it means that the second derivate is 2 which is positive, then there is a minimum turning point.
If y = -
, it means that the second derivative will be -2 which is negative, then there is a maximum turning point.
Analysis:
h(t) = -
+ 81
By expanding,
h(t) = -(
- 24t + 144) +81
h(t) = -
+ 24t - 144 + 81
h(t) = -
+ 24t - 63
at turning point d/dt(h(t)) = 0
d/dt (h(t)) = -2t +24
-2t +24 = 0
if we differentiate again, second derivative is -2 which is negative, so it is a maximum point.
2t = 24
t = 12 seconds
h(t) at t = 12
h(t) =
+ 24(12) - 63 = 81 feet
In conclusion, the maximum height of the airplane after 12 seconds is 81 feet.
Learn more about minimum and maximum points: brainly.com/question/14993153
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Answer:
23) option c
JL ≈ 9.3
25) option c
y ≈ 9.6
Step-by-step explanation:
<h3>25)</h3>
Given in the question that,
cos(21°) = 9 / y
y = 9/cos(21°)
y = 9.64
y ≈ 9.6(nearest tenth)
<h3>23)</h3>
Given in the question that the hypotenuse of right angle triangle = 12
To find,
height of the right angle triangle
angle k = 39°
so by using trigonometry identity
cos(39) = opp/hypo
cos(39) = JL / KL
JL = cos(39)(12)
JL = 9.32
JL ≈ 9.3
<h3 />
A=17 b = 12
a x b
17 x 12
=204