Step-by-step explanation:
t = 9x, and dx = 1/9 dt.
∫ sin(9x) dx
= ∫ sin(t) (1/9 dt)
= 1/9 ∫ sin(t) dt
= -1/9 cos(t)
= -1/9 cos(9x)
Answer:
1/6
Step-by-step explanation:
1/2 (The probability that its tails) x 1/3(The probability that it lands on a green side)
A commission is a percentage of total sales,
multiply the rate of commission by the total sales
Since there isn't a line under the < sign, this means that we used a dotted or dashed line. The dotted or dashed line indicates that we do NOT include the boundary as part of the solution set.
Since y is isolated and we have a less than sign, this means we shade below the dashed/dotted boundary line. Specifically, the boundary line is the graph of y = 2x+1. This boundary line goes through (0,1) and (1,3). Again, points on this boundary line are NOT part of the solution set.
So in summary we have:
A dashed or dotted boundary line
The shaded region is below the dashed/dotted boundary line.
Answer:
$18.36
Step-by-step explanation:
In this question, we have to find the cost of the cake for the customer who orders a month early.
We know that the original price of the cake is $30.
We also know that there was a 28% discount and a 15% discount added to the purchase.
Remember, You don't add discount percentages together, you discount the prices separately.
Solve:
First, apply the 28% discount.
30 · 0.28 = 8.40
30 - 8.40 = 21.60
Now apply the 15% discount to the new price.
21.60 · 0.15 = 3.24
21.60 - 3.24 = $18.36
They needed to pay $18.36 for the cake.