Answer: -1.5
Step-by-step explanation:
Answer:
36 ft
Step-by-step explanation:
<u>Given </u><u>:</u><u> </u>
We need to convert it into feets. We know that ,
1 yard = 3 feet
12 yards = 12 * 3 ft
12 yards = 36 ft .
<u>Hence </u><u>the</u><u> </u><u>required</u><u> answer</u><u> is</u><u> </u><u>36</u><u> </u><u>feets </u><u>.</u>
Answer:
1/2652
Step-by-step explanation:
52 cards one jack spades 1/52
now 51 cards left one jack diamonds 1/51
1/52 * 1/51 = 1 / 2652
Answer: Average rates of change for Bird A is 0.045 and for Bird B is 3.816.
Step-by-step explanation: Through its graph, a function can be analyzed and be identified its attributes. Average Rate of Change is the ratio of change in the function values to the change of x-value, i.e., it is the slope of the function in a specific interval of x. With the Average it is possible to compare two function.
<u>Average Rate of Change</u>
<em><u>Bird A</u></em>:
For the interval [0,18]:
x₁ = 0 f(0) = 8.3
x₂ = 18 f(18) = 9.1
Average =
Average = 
Average = 0.045
<em><u>Bird B</u></em>: y = 3.6(1.06)x
For the interval [0,18]:
x₁ = 0 y = 3.6(1.06)0 = 0
x₂ = 18 y = 3.6(1.06)18 = 68.7
Average =
Average = 
Average = 3.816
The Average Rate for Change for Bird A is 0.045 and for Bird B is 3.816. This means that the population of Bird B increase in rate faster than the population of Bird A.
For direct variation y varies directly with x, then we use equation y = kx
Where k is the constant of proportionality
Given: Y equals 2 when X equals 3
We plug in 3 for x and 2 for y and solve for k
y = kx
2 = k(3)
Divide both sides by 3

Now we plug in 2/3 for k

Given x=-0.5 and find out y

y=-0.33
the value of y is -0.33 when x=-0.5