Exponential decay is a very common process especially when we are talking about radioactive materials. So, there is already a common formula for this type of behavior which is written below:
A = Pe^-rt
where
A is the amount left after time t
P is the initial amount at t=0
r is the rate
Substituting the values,
A = (780 g)(e^-0.163*16)
A = 57.5 g
Answer:
(-3, 4)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
<u>Algebra I</u>
- Terms/Coefficients
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
y = -x + 1
2x + 3y = 6
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 2x + 3(-x + 1) = 6
- Distribute 3: 2x - 3x + 3 = 6
- Combine like terms: -x + 3 = 6
- Isolate <em>x</em> terms: -x = 3
- Isolate <em>x</em>: x = -3
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define equation: y = -x + 1
- Substitute in <em>x</em>: y = -(-3) + 1
- Simplify: y = 3 + 1
- Add: y = 4
Answer:
C . Sample : 6 boy and 7 girls
Step-by-step explanation:
Data :
Boys = 150
Girls = 175
So ratio between boys and girls
175/150 = 1.67
So when boy is 6
6 ×1.667 = 7
Alright here's the breakdown:
it said every 4 miles <span>Vanessa jogged, Cody jogged 3 miles.
so
</span><span>Vanessa jogged 1 mile
that means
Cody jogged .75 of a mile ( or 75% of 1 )
because
Cody will always jog 75% of how much Vanessa joged
so say that
</span><span>Vanessa jogged 50 miles
all you do is take 75% of how much </span>Vanessa jogged
and that should be how much Cody joged
hopes this helps!
Answer:
In this scenario, we will use the <u>femur or the thigh</u> bone length as the explanatory variable.
Step-by-step explanation:
Dependent variables are those variables that are under study, i.e. they are being observed for any changes when the other variables in the model are changed.
The dependent variables are also known as response variables.
Independent variables are the variables that are being altered to see a proportionate change in the dependent variable. In a regression model there can be one or more than one independent variables.
The independent variables are also known as the explanatory variables.
Scientifically it is believed that the length of arm and legs are related and basically grow at the same time.
So, in this case the explanatory variable can either of the two bone lengths.
Thus, the complete statement is:
"In this scenario, we will use the <u>femur or the thigh</u> bone length as the explanatory variable."
