Answer:
slope 8= -1/5
slope 9= -1
Step-by-step explanation:
So this is essentially a proportion problem. They want you to be able to recognize a relationship between the two. The easiest way to go about this is to draw a picture (I have included one). What you want to do is notice that you are given both shadow lengths. This is essentially going to be your first step to creating the proportion.
Understanding that we know the shadow lengths, we can turn these into a fraction such as so:
4ft/20ft.
Now that we know that, we need to look at are unknown. Our unknown is the height of the utility pole. We can solve this by substituting for X since we know the utility worker is 5.5 ft tall.
Your fraction for that would look like:
5.5ft/X
Make sure to always make your top to top match, such as since I put the utility worker's shadow on top, I need to put his height on top.
Now we can solve.
4ft/20ft =5.5ft/X
We need to cross multiply to get an equation we can work with. If we cross multiply, Your equation will look like:
4x = 110ft
This is a simple one step equation. Divide both sides by 4 to get your answer.
x= 27.5ft.
This means your Utility pole's height is 27.5ft.
Answer:
her brother is 9
Step-by-step explanation:
21-3=18 18 divided by 2 = 9
The formula for percentage is:
is/of = %/100
In the given problem,
is = ?
of = 25
% = 80
We get,
?/25 = 80/100
"is" is unknown so let "is" be "x"
x/25 = 80/100
We have to cross multiply. Meaning, we will multiply the numerator of one fraction by the denominator of the other fraction. Therefore,
100x = (80)(25)
100x = 2000
x = 20
The answer is 20. The basketball player is expected to make 20 free throw shots out of 25 in the entire game.
Answer:
The prediction for the number of transistor per IC in 1992 is of 4,194,304,000
Step-by-step explanation:
Moore's law:
Moore's law states that the number of transistors per IC doubles every year.
Format of the function:
Following Moore's law, t years after our initial estimative, the number of transistors per IC will be given by:

In which N(0) is the initial estimate.
The number of transistors per IC in 1972 seems to be about 4,000 (a rough estimate by eye).
This means that 
So

What would you predict the number of transistors per IC to be 20 years later, in 1992?
This is N(20). So

The prediction for the number of transistor per IC in 1992 is of 4,194,304,000