Answer:
438.501cm^3
Step-by-step explanation:
Given data
Height of can= 12cm
Radius= 3.5cm
The capacity of the can is expressed as
V= πr^2h
V= 3.14*3.5^2* 12
V= 3.14*12.25*12
V= 461.58cm^3
Hence the capacity is 461.58cm^3
We are also given that the juice amount to 95% of the capacity of the can
95/100*461.58= x
0.95*461.58=x
x=438.501cm^3
This means that the volume of the juice is 438.501cm^3
Answer:
- 3, 16, - 22, 54
Step-by-step explanation:
Using the recursive formula with a₁ = - 3, then
a₂ = - 2a₁ + 10 = - 2(- 3) + 10 = 6 + 10 = 16
a₃ = - 2a₂ + 10 = - 2(16) + 10 = - 32 + 10 = - 22
a₄ = - 2a₃ + 10 = - 2(- 22) + 10 = 44 + 10 = 54
Thus
the first 4 terms of the sequence are
- 3, 16, - 22, 54
D
An acute angle is less than 90 degrees
:
f into the graph of g. f(x) = x4 and g(x) = -(-x)4 ... y = f(-x) is a y-axis reflection (here the negative sign is "inside" the function) ... on the same axis sketch the graphs of y=x2-3, and the graph of y=2x ... find the equation of the horizontal line passing through the points (-2,3).
Answer:
36 years old (jim)
Step-by-step explanation:
looks like a good ol' word problem!
first, if you don't know what to do, always assign variables
Jim's age: x+9
June's age: x
Alex's age: x-8
we know the sum of their ages which is 82
so, x+9+x+x-8=82
simplify
3x+1=82
3x=81
x=27, but we're not done yet
Now we know x
jim: 36
june: 27
Alex: 21
so the oldest is jim at 36
