Answer:
= 20 ft
Step-by-step explanation:
The perimeter is found by
P = 2(l+w)
= 2(6+4)
=2(10)
= 20 ft
Answer:
7
Step-by-step explanation:
Let 'x' represent the number of tickets that Teresa sold, and x is integer and x>=0 (you can not sell negative number of tickets)
6 + 2x < 22
x < 8
The range of possible number of tickets that Teresa sold is {0, 1, 2, 3, 4, 5, 6, 7}.
Answer:
Step-by-step explanation:
<u>Properties of Logarithms</u>
We'll recall below the basic properties of logarithms:
Logarithm of the base:
Product rule:
Division rule:
Power rule:
Change of base:
Simplifying logarithms often requires the application of one or more of the above properties.
Simplify
Factoring 
.
Applying the power rule:
Since
Applying the power rule:
Applying the logarithm of the base:
Travel direction 3i + 2j, slope = 2/3.
We have slope and a point (-2,1) this gives us a line equation:
LINE BEFORE THE TURN, EQUATION: y = (2/3)x + 1
The point of intersection of the two lines:
1) through (-2,1) with slope 2/3 and;
2) through (-1,6) with slope 3/2.
Answer:
2,674.14 g
Step-by-step explanation:
Recall that the formula for radioactive decay is
N = N₀ e^(-λt)
where,
N is the amount left at time t
N₀ is the initial amount when t=0, (given as 42,784 g)
λ = coefficient of radioactive decay
= 0.693 ÷ Half Life
= 0.693 ÷ 18
= 0.0385
t = time elapsed (given as 72 years)
e = exponential constant ( approx 2.7183)
If we substitute these into our equation:
N = N₀ e^(-λt)
= (42,787) (2.7183)^[(-0.0385)(72)]
= (42,787) (2.7183)^(-2.7726)
= (42,787) (0.0625)
= 2,674.14 g
