Step-by-step explanation:
I am only sure about the first one but as for the rest I am not really but I tried...if you need explanations to the first one feel free to ask me
Answer:
<h2>The demand at a price of $1.50 per cone is 44 cones</h2>
Step-by-step explanation:
let us apply the interpolation formula to solve this problem
we have

Now let us set the values to the notation above
x= $1.20
x1= $2.20
x2= $1.50
y = 50 cones
y1= 30 cones
y2= ?

Substituting our given data we have

the demand at a price of $1.50 per cone is 44 cones
Rewrite the parabola in standard form and use this formula to find the vertex (h,k).
= (2,-1)
Answer:
Step-by-step explanation:
Given that latitude and longitude describe locations on the Earth with respect to the equator and prime meridian.
Latitude High Temp
("N)
12 53
16 41
30 67
36 63
32 70
11 58
10 61
33 67
30 72
Slope 0.732
Int -21.56266667
Regression line is y = 0.732x-21.563 where x represents the latitude and y high temperature
Since slope = 0.732, we get temp increases by 0.8 degree for 1 degree increasenorth in latitude
Hence option c is right
The equation is:
[e^x] [e^(2x)] = 4
1) Applying property of multiplication of powers wiith same base =>
e ^ (x + 2x) = 4
=> e ^ (3x) = 4
2) Applying logarigth properties
3x = ln(4)
=> x = ln(4) / 3 ≈ 1.38629 / 3 ≈ 0.4621
Answer: x = ln(4) / 3 ≈ 0.4621