Answer: q³⁰
Explanation:
First just solve the first part using the exponent rules
p²q⁵ becomes 1/p-⁸q-²⁰ then we flip the fraction so the exponents become positive. Now we have p⁸q²⁰.
Before multiplying the other equation, we must simplify. p-⁴q⁵ becomes 1/p⁴q-⁵ and since it's the exponents being raised to a power we simply multiply the inner exponents times the outer exponent which yields 1/p⁸q-¹⁰. We must make q-¹⁰ positive so we will then bring it to the numerator of the fraction which gives us: q¹⁰/p⁸.
Multiply q¹⁰/p⁸ * p⁸q²⁰/1 = p⁸q³⁰/p⁸ divide the p exponents by each other which yields 0 since when u divide exponents you just subtract them so 8 - 8 = 0. Your answer is now q³⁰/1 or just q³⁰
Answer:
The distance from the top of her head to the floor is 6 feet 2 inches.
Step-by-step explanation:
In his case Juana's height is given to us with two kinds of units, feet and inches, in order to make our solution easyer we will transform her height to only inches. In 1 feet we have 12 inches, so we need to take the part of her height that is given in feet and multiply it by 12. We have:
height = 4*12 + 8 = 56 inches
Since she is in a platform that is 18 inches tall the distance from the top of her head to the floor is her height plus the height of the platform. We have:
distance = height + platform = 56 + 18 = 74 inches
We can now transform back to a mixed unit, we do that by dividing the distance by 12 that will be the "feet" part and the res of the division will be the "inches" part. We have:
distance = 74/12 = 6 feet 2 inches
The distance from the top of her head to the floor is 6 feet 2 inches.
Answer:
Option B.
Step-by-step explanation:
It is given that a graph titled Courses Completed versus Remaining Credits Needed to Graduate has courses completed on the x-axis and Credits need to graduate on the y-axis.
Points plotted are (4, 110), (8, 76), (16, 63), (20, 53), (24, 33).
Since, x-axis represents the courses completed, therefore the input, or independent variable is courses completed.
Since, y-axis represents the Credits need to graduate, therefore the output, or dependent variable is Credits need to graduate.
Therefore, the correct option is B.
Answer:
so what i would like to do is what is 12 divid by 3 and when u get ur answer that it what the y is