Since g(6)=6, and both functions are continuous, we have:
if a function is continuous at a point c, then
,
that is, in a c ∈ a continuous interval, f(c) and the limit of f as x approaches c are the same.
Thus, since
, f(6) = 5
Answer: 5
Answer:
864 cubic meters
Step-by-step explanation:
Rectangular prism = 5x9x12=540
Triangular prism = 1/2(9)(6)(12)=324
540+324=864 cubic meters
So first find the circumfernece of the earth which is 24,901 times 5280
use a calculator
24,901 times 5280=131,477,280ft
1 ft=12 inches so 131,477,280 times 12=157,727,360 in
so 157,727,360 divide by the legnth of the case=1,577,727,360/15.1=104,485,255.62914 cases to go around the earth once so
million=1000 thousand
billion=1000 million
billion=1,000,000,000
2.6 billion=2,600,000,000
so 2,600,000,000/104,458,255.62914=24.88 or rounded up <u>they would go around the earth close to </u><u>25</u><u> times</u>
AREA OF THE BASES
base=legnth times width so 15.1 times 8.3 =125.33 in^2
multiply 125.33 in^2 by 2,600,000,000 and get 325,858,000,000 in^2 or 3.25858 times 10^11=area of the bases
PERIMETER OF THE BASES
perimeter of the bases 2Legnth+2Width times 2.6 billion
2(15.1)+2(8.3)=46.8
46.8 times 2.6 billion=121,680,000,000 inches or 1.2168 times 10^11= perimeter of all the bases
VOLUME
24 1/2 liter bottles means 24 times 1/2=12 liters in each pack
2.6 billion times 12=<u>31,200,000,000</u> liters or 3.12 times 10^10
To solve this problem, start by finding how many cans will be collected in 5 months. To do this, take the amount of cans collected each month and multiply it by the number of months. Set these values up in an equation.
This leaves you with:
3.75(5) = x
Multiply the values to get 18.75 pounds of cans.
So this fills the first blank.
For the second blank, you must subtract the number collected from the number that was the goal for the class.
This results in the expression:
20.5 - 18.75
Subtract the values to fill the second blank with 1.75 pounds.
Since they didn’t meet their goal, the last blank would be “less.”
I hope this helps! :)