<span>(-4x^2)^3
= (-4)^3 x^6
= - 64x^6</span>
Answer:
1) If the order doesn't matter, there are 36 possible outcomes.
2) If the order does matter, there are 181,440 possible outcomes.
Step-by-step explanation:
1) In the case when the order doesn't matter , we have to calculate a combination of 7 screws in 9 holes.
We use the formula for combinations:
being r: the number of screws and n: the number of holes.
2) When the order does matter, the possible outcomes are called permutations. We have permutations of 7 screws in 9 holes.
We use the formula for permutations:
Answer:she will earn $200 in 5 weeks
Step-by-step explanation:
Susan takes care of a child for 2 hours after school each weekday and 6 hours on Saturday. There are 5 school days in a week. Total number of hours that she spends in taking care of the child during the weekdays would be 5×2 = 10 hours.
Total hours for the week would be
10 + 6 = 16 hours
Total amount of hours in 5 weeks would be
5 × 16 = 80
If she earns 2.50 per hour, it means that in 80 hours, she would earn
2.5 × 80 = $200
45 ft^2 is the surface area
Answer:
See Explanation
Step-by-step explanation:
Given two variables (say x and y); the constant of proportionality is the ratio between these to variables.
Illustration; y is directly proportional to x
The above statement can be represented as:
When converted to an equation, you get
k, in the above equation, represents the constant of proportionality
Divide both sides by x to solve for k
Take for instance:
Divide both sides by x
--- 3 is the constant of proportionality