Answer:
B: The y-intercept is (0,2).
Step-by-step explanation:
See attached graph.
Answer: She need 159.50 more dollars to get to her goal
Step-by-step explanation:
500 − 340.5 =159.50
I’m pretty sure it’s the number of wrenches in the toolbox because that gonna affect the amount of space he has left
Answer:
See below
Step-by-step explanation:
We shall prove that for all 
. This tells us that 3 divides 4^n+5 with a remainder of zero.
If we let 
, then we have 
, and evidently, 
.
Assume that 
is divisible by 
for 
. Then, by this assumption, 
.
Now, let 
. Then:
Since 
, we may conclude, by the axiom of induction, that the property holds for all 
.
Answer:
0.2 centimeters
Step-by-step explanation:
Strategy 1:
Make the equation: 5=a•s, where s is the scale factor and "a" is the number of centimeters which 5 meters
First, we need to find the scale factor. 50 meters would be s times greater than 2 centimeters. Find s by first converting meters into centimeters
50m=5000cm. 5000cm=2cm*s, so s = 2500
5m=a*2500, a=0.002 meters, and 0.002 meters is equal to 0.2 centimeters.
Strategy 2:
the ratio of the scale drawing to real life will always stay the same, so
2 cm / 50 meters = x / 5 meters, and cross multiply to get
x cm* 50 m = 2 cm * 5 m, so
x cm * 10 = 2 cm
x cm = 2/10 cm
x cm = 0.2 cm
Strategy 3:
Notice that 5 meters is 10 times smaller than 50 meters, so on the scale drawing, we are looking for a number 10 times smaller than 2 centimeters, so 2/10=0.2 cm
