Answer:
<u>Sharmaine had an income of US$ 1,355 that week.</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Hours per week Sharmaine works at an exclusive restaurant = 30
Salary of Sharmaine = US$ 3.50 per hour + tips
Tips of the week = US$ 1,250
2. What was Sharmaine’s total income?
Total income = Tips + Rate per hour
Total income = 1,250 + (3.5 * 30)
Total income = 1,250 + 105
<u>Total income = 1,355</u>
For the simple harmonic motion equation d=9cos((pi/2)t), what is the period?
A cosine function y = a cos bt + d has a period of (in terms of radians) P = 2π/b, where here the "b" value is π/2..thus plug π/2 for b in the period formula and evaluate..
2π/(π/2) <-- flip second fraction and multiply..
= 2π * 2/π <-- the π's cancel out..leaving us with just..
= 4 <-- answer...
<span>Thus, the period is 4.
I hope my answer has come to your help. Thank you for posting your question here in Brainly.</span>
The answer to the product of the functions f(x) = x2 and g(x) = x - 8 is f(x).g(x) = x3 - 8x2.
The given functions are :
f(x) = x2 --- (1)
g(x) = (x - 8) --- (2)
The product of the functions is obtained by multiplying equations (1) and (2)
f(x). g(x) = x2 × (x - 8)
f(x).g(x) = x3 - 8x2
Let us take another example
Let f(x) = x3 - 2x2 + x - 4 and g(x) = 1/2x
The product of the above two functions will be :
f(x).g(x) = (x3 - 2x2 + x - 4) × (1/2x)
= ( x3)(1/2x) -( 2x2)(1/2x) + (x)(1/2x) - (4)(1/2x)
= x2/2 - x + 1/2 - 2/x
= x2/2 - x - 2/x + 1/2
Answer:
The answer is 29/42
Step-by-step explanation:
First, let's calculate how many people predicted they would fail. The question states that 65 people took the exam and 23 predicted they would pass, so we can find the number of people that predicted they would fail by the following calculation:
Let FP be the people who predicted they'd fail
65 = 23 + FP
65 - 23 = FP
42 = FP
Now, let's move on to the next part. The question states that a total of 31 people passed the test, from those 18 being the people who predicted they would pass and the rest are people who had predicted they would fail but ended up passing.
Let's set x as the number of people who predicted they would fail but have passed.
31 = 18 + x
31 - 18 = x
13 = x
Since 13 of the 42 FP have passed, we can calculate how many of them failed. Let y be the number of people that predicted to fail and ended up failing:
13 + y = 42
y = 42 - 13
y = 29
Finally, now we have the fraction of those who predicted that they would fail actually did fail and that's 29/42
Answer:8-oz jar
First, we have to find out what is the unit rate of the 2-oz jar. $1.50÷2 is $.75.
Second, we have to find the unit rate of the 4-oz jar. $2.92÷4=$73.
Third, we have to find the unit rate of the 8-oz jar. $5.68=$.71.
Fourth, we have to find the unit rate of the 16-oz jar. The division for this one may be tricky. From dividing $11.62 by 16, is stopped at the 3rd number I got from dividing. I got $.726. This is not a value of cents and the value can't go in the thousandths place. So, I rounded .726. I got $.73. So $11.62÷16=$.73.
Lastly, you have to compare the amounts.
The lowest amount or better buy, is $.71 or 8-oz jar.