Answer:
29
Step-by-step explanation:
Given the expression 
where x is the unknown base:
Hence the missing base is 29
We can see that the y-intercept (the value of y when x=0) is -1 by looking at the table.
Now we just need the slope, or "m" of the linear equation.
m=(y2-y1)/(x2-x1) in this case:
m=(-2--1)/(1-0)
m=-1/1
m=-1
Now that we know m and b of y=mx+b we can say the line is:
y=-x-1
So this is a linear equation, y=-x-1
To determine the amount of milk that David should be adding, we need to generate and expression that would relate the number of strawberries and the number of cups. From the problem statement, it is said that the number of strawberries is directly proportional to the number of cups of milk. We write it as:
X α Y where X represents the number of strawberries and Y represents the number of cups of milk
To get rid of the proportionality sign, we introduce a proportionality constant k. We calculate this by using the initial conditions given.
X = kY
at X = 14 strawberries Y = <span>2 1/2 cups of milk = 5/2 cups
14 = k(5/2)
k = 28/5
At X = 203
X = kY
203 = 28/5 (Y)
Y = 145/4 or 36 1/4 cups of milk needed</span>
Answer:
Greater than 3
Step-by-step explanation:
Logarithms explain the relationship between exponents.
Think of them as such, except they got their bases and exponents switched.
In this logarithm:
basically says 2 to the power of <em>what</em> gets you to 10.
Now let's experiment: 2^2=4, 2^3=8. 2^4=16.
Wait, we already crossed 10. Now we know that log2(10) must be in between 3 and 4. We don't need to find the exact value, because thats not what the question asked.
It's between 3 and 4, so it has to be greater than 3 but less than 4. Thee is your answer!
Have a nice day! :)
