First we define the variable to be used:
x: half-life time period
The equation for this problem can be modeled as:
y = A * (b) ^ x
Where,
A: initial amount
b: decrease rate.
For example:
if there are 100 atoms, after one half-life time period, 50 atoms remain:
y = 100 * (0.50) ^ x
after one half-life time period (x = 1):
y = 100 * (0.50) ^ 1
y = 50
The equation that models the problem is:
y = 16 * (0.50) ^ x
The table is:
1 8
2 4
3 2
4 1
5 0.5
Answer:
y + 4 = -³/₅(x + 5) {the point-slope form of the equation
}
y = -³/₅x - 7 {the slope-intercept form of the equation}
3x + 5y = - 35 {standard form of the equation}
Step-by-step explanation:
The point-slope form of equation is : y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through.
m = -³/₅
(-5, -4) ⇒ x₀ = -5, y₀ = -4
Therefore:
y - (-4) = -³/₅(x - (-5))
y + 4 = -³/₅(x + 5) ← the point-slope form of the equation
y + 4 = -³/₅x - 3 {subtract 4 from both sides}
y = -³/₅x - 7 ← the slope-intercept form of the equation
³/₅x + y = - 7 {multiply both sides by 5}
3x + 5y = - 35 ← standard form of the equation
Answer:
Mr. Shim would record the number +10 or 10 for Ben because of the word "more".
For Gail, Mr. Shin would record the number -8 because of the word, "less''.
Since Nathaniel did not improve or decrease the number of crunches, Mr. Shin would record the number 0.
I hope this helps better
Answer:
4.
a) 
b)
5. Yes
Step-by-step explanation:
The distributive property is:
It can be extended to a lot of terms as well.
We will use this to multiply both of the probelms shown.
4 a)
The answer is
4 b)
The answer is
5. Yes
Answer:
no clue lol.
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