A. T= d/r
A good way to remember this is by making a pyramid with 3 parts and putting distance at the top and rate and time in the other two parts. This way you can visibly see the equation and use it if you need to find one for rate.
B. It's reasonable to write distance as a positive number because distance is always positive. You are not able to have a negative distance. Imagine someone standing on a side walk. Even if they are not moving, their distance is 0 which is positive. If they move backwards or forwards, their distance is still positive because it is more than that 0 and they are gaining something.
C. Just plug in the numbers into the formula.
T= d/r
T= 32.12 m /<span>8.8 m/min
T= 3.65 min
</span>
Answer:
Length of fencing: 4, 6, 7, 9, 10
Cost: 36, 54, 63, 81, 90
Answer:
The correct expression is n + 8
The value of the expression = 5.3 + 8
The answer is 13.3
Step-by-step explanation:
The expression for eight increased by a number
Assume that the number is n
Increased eight by n means add n to eight
The correct expression is n + 8
When n = 5.3
Substitute 5.3 for the variable n
The value of the expression = 5.3 + 8
Simplify by adding 5.3 and 8
5.3 + 8 = 13.3
The answer is 13.3
Answer:
a) 10,500 big cats
b) 13,401 big cats
c) 33 years
Step-by-step explanation:
Hi, to answer this question we have to apply an exponential growth function:
A = P (1 + r) t
Where:
p = original population
r = growing rate (decimal form; 5/100= 0.05)
t= years
A = population after t years
Replacing with the values given:
a) At 2005, 1 year passed since 2004 (t=1)
A = 10,000 (1+ 0.05)^1
A = 10,500 big cats
b)
At 2010, 6 years passed since 2004 (2010-2004= 6)
A = 10,000 (1+ 0.05)^6
A = 13,401 big cats
c)
50,000 < 10,000 (1+ 0.05)^t
Solving for t:
50,000/10,000 < 1.05^t
5 < 1.05^t
log 5 < log 1.05^t
log 5 < t ( log 1.05)
log 5 / log 1.05 < t
32.9 years < t
33 years = t
Feel free to ask for more if needed or if you did not understand something.
Answer:
Step-by-step explanation:
