recall, for the scientific notation, it has to be using some power of 10, and the exponent of the base 10, is how many slots you're away from the <u>decimal point</u>. 0.007 uses 10⁻³ because 7.0 or 7. when we make it 0.007, we have to move the decimal point from in front of the 7 3 slots over to the left. Likewise, the 7000 is using 10³, because we moved the dot from 7. to 7000. , namely 3 slots to the right.
the missing value is there in the middle, notice is "7".
well, we can say that 7 is using 10⁰, however most of the time the 10⁰ is omitted and we settle for 7 alone, however scientific notation wise, that'd be it.
If we are solving for x then it would be -1 :)
Average rate of change refers to the slope of a function/equation.
To solve this, plug in for both x values and calculate the average, or mean.
x = 1
f(1) = 5(2)^1
= 5(2)
= 10
x = 5
f(5) = 5(2)^5
= 5(32)
= 160
Now, you calculate the average:
10 + 160 = 170
Divide by 2 and you get 85.
Answer:
10 friends
Step-by-step explanation:
we know that
The formula of the sum is equal to
![sum=\frac{n}{2}[2a1+(n-1)d]](https://tex.z-dn.net/?f=sum%3D%5Cfrac%7Bn%7D%7B2%7D%5B2a1%2B%28n-1%29d%5D)
where
a1 is the first term
n is the number of terms (number of friends)
d is the common difference in the arithmetic sequence
In this problem we have
----> the common difference
substitute in the formula and solve for n
![275=\frac{n}{2}[2(5)+(n-1)(5)]](https://tex.z-dn.net/?f=275%3D%5Cfrac%7Bn%7D%7B2%7D%5B2%285%29%2B%28n-1%29%285%29%5D)
![550=n[10+5n-5]\\ \\550=10n+5n^{2} -5n\\ \\5n^{2}+5n-550=0](https://tex.z-dn.net/?f=550%3Dn%5B10%2B5n-5%5D%5C%5C%20%5C%5C550%3D10n%2B5n%5E%7B2%7D%20-5n%5C%5C%20%5C%5C5n%5E%7B2%7D%2B5n-550%3D0)
Solve the quadratic equation by graphing
The solution is n=10
see the attached figure
therefore
She had 10 friends who got stickers
