Answer:
Step-by-step explanation:
You want to set up a system. We are given some points fo we can set up inputs and outputs. F(0) = 5, given by point (0,5). and F(3)=135, given by point (3,135). The exponential function general equation is F(x)= a(b)^x. plug in out functions into the general equation to get a(b)^0=5 and a(b)^3=135. Then you simplify and solve for a. In the equation a*b^0=5, anything to the power of 0 is 1. so a*1=5. Therefore a=5. we plug in the a to the second equation to find b. 5*b^3=135. b^3=27. b=3 from simplifying. Therefore, the equation should be 5(3)^x. THATS IT!
Answer:
1608.5 cm³
Step-by-step explanation:
Use the cylinder volume formula, V = 
r²h
If the diameter is 16 cm, then the radius is 8 cm.
Plug in the radius and height into the formula, and solve:
V = r²h
V = (8)²(8)
V = (64)(8)
V = 1608.5
So, to the nearest tenth, the volume of the cylinder is 1608.5 cm³
Answer: - 42.95 feet
Explanation:
Let each ascent be x. Thus,
2 equal ascents = 2x
From the information given,
initial position = - 64.5 feet
Final position after 2 ascents = - 21.4 feet
This means that
- 64.5 + 2x = - 21.4
2x = - 21.4 + 64.5
2x = 43.1
x = 43.1/2
x = 21.55
Thus, Max's elevation after the first ascent is
- 64.5 + 21.55
= - 42.95 feet
Step-by-step explanation: (I'm not gonna' do it <em>all</em> for you tho)
to convert from <u>percent to fraction</u>:
70% = 
to convert from <u>fraction to percent</u>:
= 55%
to convert from <u>fraction to decimal</u>:
to convert from <u>decimal to fraction</u>:
to convert from <u>percent to decimal</u>:
0.2% = 
to convert from <u>decimal to percent</u>:
% = 40%
With that, you can solve the rest on your own
Answer:
9r
Step-by-step explanation:
combine like terms in PEMDAS order. Add 4, 9, and 7, then, subtract 11.
