1. 50 + 20x = 240
2. 85% so more than 75%
3. 25.9% so about 26%
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Answer:
3
Step-by-step explanation:
There are 15 shells all together
there is 5 friends
15 divided by 5 is 3
Therefore the answer is three
Answer:
$4.64
Step-by-step explanation:
1 cup = 16 tablespoons
cup = 8 tablespoons
Each lemon yields about 2 tablespoons of juice. You need 8 tablespoons for one lemon pie, so you need 
lemons for one pie and 
lemons for two pies.
The store is selling lemons at $0.58 each, hence, 8 lemons will cost
Answer:
a. y= e raise to power y
c. y = e^ky
Step-by-step explanation:
The first derivative is obtained by making the exponent the coefficient and decreasing the exponent by 1 . In simple form the first derivative of
x³ would be 2x³-² or 2x².
But when we take the first derivative of y= e raise to power y
we get y= e raise to power y. This is because the derivative of e raise to power is equal to e raise to power y.
On simplification
y= e^y
Applying ln to both sides
lny= ln (e^y)
lny= 1
Now we can apply chain rule to solve ln of y
lny = 1
1/y y~= 1
y`= y
therefore
derivative of e^y = e^y
The chain rule states that when we have a function having one variable and one exponent then we first take the derivative w.r.t to the exponent and then with respect to the function.
Similarly when we take the first derivative of y= e raise to power ky
we get y=k multiplied with e raise to power ky. This is because the derivative of e raise to a constant and power is equal to constant multiplied with e raise to power y.
On simplification
y= k e^ky
Applying ln to both sides
lny=k ln (e^y)
lny=ln k
Now we can apply chain rule to solve ln of y ( ln of constant would give a constant)
lny = ln k
1/y y~= k
y`=k y
therefore
derivative of e^ky = ke^ky
Answer:
Below in bold.
Step-by-step explanation:
Arrange the data in ascending order:
1. 1 1 2 3 4 7 9
Median = middle number = 3.
Q1 = 1
Q3 = 7.
2. 26 31 34 38 42 66 74 78
Median = mean of 2 middle numbers = 40.
Q1 = 31.
Q3 = 74.
3. 36 45 49 52 53 64 81 87 93
Median = middle number = 53.
Q1 = 47.
Q3 = 84.
