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3 years ago

25. Michael is studying population changes in two

Mathematics

1 answer:

g100num [7]3 years ago

4 0

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.

Average Rate of Change

Bird A:

For the interval [0,18]:

x₁ = 0 f(0) = 8.3

x₂ = 18 f(18) = 9.1

Average = $\frac{f(18) - f(0)}{x_{2} - x_{1} }$

Average = $\frac{9.1 - 8.3}{18 - 0}$

Average = 0.045

Bird B: 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 = $\frac{f(18) - f(0)}{x_{2} - x_{1} }$

Average = $\frac{68.7 - 0}{18 - 0}$

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.

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Ambrose and Kaitlin are volunteering at a food bank. They both start at the same time. Kaitlin takes 13 minutes to pack a box wi

Norma-Jean [14]

Answer:

They will finish packing boxes at the same time after 91 minutes.

Step-by-step explanation:

From the question,

Kaitlin takes 13 minutes to pack a box while Ambrose takes 7 minutes to pack a box. That is,

Kaitlin will finish packing a box after every 13 minutes and Ambrose will finish packing a box after every 7 minutes.

To determine when they will finish packing boxes at the same time, we will list the times they will finish packing boxes

For Kaitlin, she will finish packing box(es) at the following times:

13th minute, 26th minute, 39th minute, 52nd minute, 65th minute, 78th minute, 91st minute, 104th minute etc.

For Ambrose, he will finish packing box(es) at the following times:

7th minute, 14th minute, 21st minute, 28th minute, 35th minute, 42nd minute, 49th minute, 56th minute, 63rd minute, 70th minute, 77th minute, 84th minute, 91st minute, 98th minute, 105th minute etc.

From above, we can observe that, Ambrose and Kaitlin will finish packing boxes at the 91st minute.

Hence, They will finish packing boxes at the same time after 91 minutes.

6 0

3 years ago

Simon says that to find the area of a trapezoid, you can multiply the height by the top base and the height by the bottom base.

melomori [17]

Answer:

Yes, Simon is correct.

Step-by-step explanation:

A trapezoid refers to a quadrilateral that is convex in shape; as such it has no equal sides and no parallel sides.

Let the height of a trapezoid be h.

Let the top base of a trapezoid be b1.

Let the bottom base of a trapezoid be b2.

$Area \; of \; trapezoid = \frac {1}{2} * (Sum \; of \; nonparallel \; sides) * height$

Therefore, $Area \; of \; trapezoid = \frac {1}{2} * (b_{1} + b_{2}) * h$

$Area \; of \; trapezoid = \frac {1}{2} * (b_{1}h + b_{2}h)$

$Area \; of \; trapezoid = \frac {b_{1}h + b_{2}h}{2}$

Hence, to find the area of a trapezoid, you will multiply the height by the top base and the height by the bottom base. Then you add the two products together and divide the sum by 2.

3 0

3 years ago

The measure of A∠ is greater than twice the measure of B∠ . If the angles’ sum is 42 degrees, find the measure of A∠ .

Zarrin [17]

Step-by-step explanation:

I think angle A = 21 degree

because in the question there is angle A Is twice means angle a + angle a= 4G degree

2 angle a=42 degree

42 divides by 2

answer is 21 degree

3 0

2 years ago

I have 10 apples, I give away 2, how many apples do I have left

Volgvan

This would be 10-2 which would equal 8

5 0

4 years ago

Read 2 more answers

Help plz with this problems

prohojiy [21]

To find the perpendicular slope, we simply flip the fraction (aka reciprocal) and flip the sign (go from positive to negative, or vice versa)

So for problem 1a) we flip the fraction to go from 4/3 to 3/4. Then we flip the sign to go from +3/4 to -3/4. The final answer to problem 1a) is -3/4

The answer to problem 1b) is 7/3 following the same basic steps: -3/7 ---> -7/3 ---> 7/3

The answer to problem 1c) is -1/4. You can think of 4 as 4/1 which flips to 1/4 and it becomes -1/4

I'll let you try out the rest 1d and 1e. Tell me what you get so I can check your answers.

3 0

3 years ago