We want to calculate the following
Using the properties of exponents, we have that
So we have
So, if factor 10^-4 on the right side, we have
Note that
Then,
So we have that
Answer:
The relationship of the number of months and the total amount paid is proportional for both Hanks and Lynn.
Step-by-step explanation:
Let us divide the equation into 2 parts.
Hanks
Hank paid $2000 up front when he bought the car and he pays $200 every month. Therefore, the total amount paid (y) and the number of month (x)can be expressed as follows.
Let
x = number of month
y = total amount paid
y = 2000 + 200x
The relationship between amount paid and the number of months is proportional
Lynn
She did not paid anything upfront but she paid $275 every month. Therefore,
x = number of month
y = total amount paid
y = 275x
This relationship between amount paid and number of month is directly proportional
Answer: Choice B
12.5 < x < 18.9
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Explanation:
We have a triangle with these side lengths:
- a = 10
- b = 16
- c = x = unknown
Let's assume that b = 16 is the largest side of this triangle.
By the converse of the pythagorean theorem, we need 
to be true in order for an acute triangle to happen.
So,
Now let's consider the possibility that the missing side x is actually the longest side.
Using the same theorem as before, we would say,
We found that x > 12.5 and x < 18.9
This is the same as saying 12.5 < x and x < 18.9
Put together, they form the approximate answer of 12.5 < x < 18.9
Answer:
La circunferencia es una línea curva, y su longitud depende del radio o del diámetro. La relación matemática entre el radio (o diámetro) y la circunferencia se da por la siguiente fórmula: C = 2πr = πD. Donde C es la circunferencia y π=3.14.
Step-by-step explanation:
Answer:
6/36 as simplified as 1/6
Step-by-step explanation:
