M to the power 4 squared minus 23
Area of triangle:
1/2 • b • h = 1/2 • 12 • 6 = 36
Area of square:
l • w = 12 • 12 = 144
144 ÷ 36 = 4 squares
Answer:
Can be either 6 adult tickets and 9 children tickets or 9 adult tickets and 5 children tickets
Answer:
81 pencils
Step-by-step explanation:
1. Set up variables
Pencils = p
notebooks= n
2. Set up a system of equations
p+n= 135 (The amount of supplies bought)
1.75n +0.35p = 122.85 (Equation for the cost)
3. Solve the system of equations (I'll use substitution)
a)p= 135-n (I just rearranged it)
1.75n + 0.35p= 122.85
b) Substitute the first equation into the second)
1.75n + 0.35(135-n) = 122.85
c) Solve!
1.75n + 47.25 - 0.35n = 122.85
1.4n = 75.6
n= 54
Serena bought 54 notebooks!
4. Substitute the number of notebooks into the first equation
p +n = 135
p + 54= 135
p = 81
Serena bought 81 pencils!!!
I hope this helps!!!!
Answer:
81 times the original size
Step-by-step explanation:
AA0ktA=3A0=?=?=25hours=A0ekt
Substitute the values in the formula.
3A0=A0ek⋅25
Solve for k. Divide each side by A0.
3A0A0=e25k
Take the natural log of each side.
ln3=lne25k
Use the power property.
ln3=25klne
Simplify.
ln3=25k
Divide each side by 25.
ln325=k
Approximate the answer.
k≈0.044
We use this rate of growth to predict the number of bacteria there will be in 100 hours.
AA0ktA=3A0=?=ln325=100hours=A0ekt
Substitute in the values.
A=A0eln325⋅100
Evaluate.
A=81A0
At this rate of growth, we can expect the population to be 81 times as large as the original population.
