Answer:
The exponential function best models the data for the given table.
Step-by-step explanation:
Given : The table showing the estimated number of bees, y, in a hive x days after a pesticide is released near the hive.
We have to find which function best models the data for the given table.
Consider the given data in the table.
We first plot the data using Expo- regression calculator (as shown in attachment)
Since, The the estimate number of bees deceases with increasing number of days ,thus the data represents an exponential decay over time.
Thus, The exponential function best models the data for the given table.
And the equation of model is given as 
Where y represents the estimate number of bees
and x represents the number of days.
Answer:
226 cm^2
Step-by-step explanation:
It’s literally a rectangular prism If you put it together. The side with 2 cm and 11 cm , the surface area is 22 and since this is a rectangular prism, that means there is a second of the same kind. Then you get the larges box, since you know that the top side is 11 and the left side is 7, you multiply that * 2 which you then get 154. You add that up with the side that you solved before so 154 + 44 = 198. You then figure out the left side 7 * 2 * 2 (because there are two of them). 28 + 198 = 226 cm^2.
Answer:
135 degrees
Step-by-step explanation:
- Angle CBD is the sum of angle ABC and angle ABD, so we find these first
- An Isosceles triangle has 2 equal sides and 2 equal angles
- Isosceles triangle theorem tells us that the 2 equal angles are respectively opposite the equal sides
- Since triangle ABC has sides AB=AC, then angle ACB = angle ABC
- So knowing that angles of triangle add up to 180, then
- Now we do the next triangle to get ABD
- Since triangle ABD has sides AB=BD, then angle BDA = angle BAD
- So knowing that angles of triangle add up to 180, then
- Now we said, angle CBD is the sum of angle ABC and angle ABD, so
Answer:
<A = 27 degrees
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
Tan A = opp side / adj side
Tan A = 2/4
Tan A = 1/2
Taking the inverse tan of each side
tan^-1 ( tan A) = tan ^-1 (1/2)
A =26.56505118
Rounding to the nearest degree
A = 27
