Answer:
-1
Step-by-step explanation:
We see the given expression is equal to sin(pi/12 - 7pi/12), which is equal to sin(-pi/2), or just -1.
Answer:
Tiffany purchase the better buy.
Step-by-step explanation:
given data
Tiffany paid = $38
snowflake obsidian = 9 pounds
Tony paid = $19
same type of stone = 3 pounds
solution
Tiffany shopped well in this scenario. Mainly because Tiffany paid less per pound than Tony. This can be calculated by dividing the total amount paid by the amount received by each
so for Tiffany
= $38 ÷ 9
= $4.22 per pound
and for Tony
=$19 ÷ 3
= $6.33 per pound
so that here Tiffany paid $4.22 per pound and Tony paid $6.33 per pound
so here whole $2.11 more than Tiffany
so that with this Tiffany purchase the better buy.
The formula for the volume of a pyramid is,
V=1/3Bh
Since the base of the pyramid is a square, the base area is 11^2
which equals 121 sq. units
So, substitute 121
for B
and 6 for h, in the formula.
V=1/3(121)(6) = 242 cu. units
Or alternatively 1/3(11^2)(6) = 242 cu. units
Answer:
The exponential growth model for the population of the Tallahassee metropolitan area is
.
Step-by-step explanation:
The exponential formula is

Where b is initial population, r is growth rate, (1+r) is growth factor and t is time (in years) after the initial year.
The population of the Tallahassee metropolitan area was 382,627 at the end of 2017. The growth rate is 2.78%.
Here the initial year is 2017 and rate is 0.0278


Graph of the equation is shown below. The x-axis represents the number of years after 2017 and y-axis represents the total population.
Difference between 2025 and 2017 is 8 years. Put t=8



Therefore the projected population in 2025 is 476479.