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irakobra [83]
3 years ago
11

Factor completely 2r²-32​

Mathematics
1 answer:
diamong [38]3 years ago
5 0

Answer:

2(r+4)(r-4)

Step-by-step explanation

First, you want to factor out 2 from both terms, which gives you 2(r^2-16). Then you want to recognize that (r^2-16) is factorable into 2 terms. If you multiply (r+4) by (r-4) then you are given (r^2-16) as a result.

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Ginny is studying a population of frogs. She determines that the population is decreasing at an average rate of 3% per year. Whe
svp [43]

Answer:

Step-by-step explanation:

This is exponential, of the form

y=a(b)^x where a is the initial amount and b is the growth/decay rate. If Ginny begins the study with 1200 frogs in the population, our a value is 1200.

If the population is decreasing 3% per year, it is decreasing 100% - 3% = 97% which, as a decimal, is .97. Our exponential function, then, is

y=1200(.97)^x

6 0
3 years ago
There are two sources that serve as the foundation for conducting research on learning. The first source addresses characteristi
Leviafan [203]

Answer:

There are two sources that serve as the foundation for conducting research on learning. The first source addresses characteristics of knowledge itself and the different ways in which we learn things. The second source focuses on what goes on in our minds and how that is theoretically represented.

Step-by-step explanation:

The investigations on the process of how we learn have led to two main sources:

- Acquisition of knowledge which involves assimilation or understanding, storage and retrieval

- The second source belongs to a modern learning cognitive psychology, neuroscience, and cognitive science theories on mental representation, which concerns about the build up of an internal symbol or cognitive representation to hypothetically figure out, external reality.

8 0
3 years ago
I need help please. If you are correct, I will give you Brainliest.
earnstyle [38]

Answer:

(C) 220

Step-by-step explanation:

Let x represent the number of adult tickets sold and y represent the number of student tickets sold. With the information given, we can set up two equations:

x+y=360

5x+3y=1360 (Since for every adult ticket sold, $5 is made and for every student ticket sold, $3 is made)

In the first equation, we can represent x in terms of y:

x=360-y

And then, we can substitute x in the second equation for 360 - y to get:

5(360-y)+3y=1360 which simplifies to:

1800-2y=1360 and therefore, y=220.

Hope this helps :)

5 0
3 years ago
A boulder falls off the top of a cliff during a storm. The cliff is 90 feet high.
andreev551 [17]

Answer:

It will take the boulder approximately 4.28 seconds to hit the road

Step-by-step explanation:

The given height of the cliff from which the boulder falls, h = 90 feet

The equation that can be used to find the time it takes the boulder to fall is h = u·t + (1/2)·g·t²

Where;

h = The height of the cliff = 90 ft.

u = The initial velocity of the boulder = 0 m/s (The boulder is assumed to be at rest when it falls)

g - The acceleration due to gravity ≈ 9.81 m/s²

t = How long it will take for the boulder to hit the road below

Plugging in the values gives;

90 = 0 × t + (1/2)×9.81×t² = 4.905·t²

∴ t = √(90/4.905) ≈ 4.28

The time it takes the boulder to hit the road, t ≈ 4.28 seconds.

7 0
3 years ago
12 Two plumbers received a job. At first, one of the plumbers worked alone for 1 hour, and then they worked together for the nex
Degger [83]
The answer should be 12
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3 years ago
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