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svetoff [14.1K]
3 years ago
11

How would you change the graph of y = x² to produce the graph of y = x2 – 5,

Mathematics
1 answer:
KatRina [158]3 years ago
6 0

9514 1404 393

Answer:

  shift it down 5 units

Step-by-step explanation:

Subtracting 5 from every y-value moves the graph down 5 units.

To make the new graph, translate every point down 5 units.

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Assume the exponential growth model ​A(t)equals=Upper A 0 e Superscript ktA0ekt and a world population of 5.95.9 billion in 2006
Whitepunk [10]

Answer:

1.4% is the maximum acceptable annual rate of​ growth such that the population must stay below 24 billion during the next 100​ years.

Step-by-step explanation:

We are given the following in the question:

The exponential growth model ​is given by:

A(t) = A_0e^{kt}

where k is the growth rate, t is time in years and A_0 is constant.

The world population is 5.9 billion in 2006.

Thus, t = 0 for 2006

A_0 = 5.9\text{ billions}

We have to find the maximum acceptable annual rate of​ growth such that the population must stay below 24 billion during the next 100​ years.

Putting these values in the growth model, we have,

24 = 5.9e^{100k}\\\\k = \dfrac{1}{100}\ln \bigg(\dfrac{24}{5.9}\bigg)\\\\k = 0.01403\\k = 0.01403\times 100\% = 1.4\%

1.4% is the maximum acceptable annual rate of​ growth such that the population must stay below 24 billion during the next 100​ years.

8 0
3 years ago
Define the concept of an angle and show how it should be indicated in Math (notation). Mention at least two ways.​
Vedmedyk [2.9K]

An angle is denoted by the angle symbol ∠ and the three letters representing the name of the angle.

An angle is denoted by the angle symbol ∠ which is then being followed by three letters that will represent the points that form an angle.

Lets say for example, the expression ∠ABC will mean that “the angle is formed by the points A, B and C”

where the vertex of the angle is at the point B as it is in the middle.

Angles can also be of different types like:

An Acute Angle which means an angle is less than 90 degrees.

A Right Angle which means an angle which is exactly 90 degrees.

An Obtuse Angle which is an angle more than 90 degrees and less than 180 degrees.

A Straight Angle which is an angle that is exactly 180 degrees.

And a Reflex Angle which is an angle greater than 180 degrees and less than 360 degrees.

Therefore, an angle is denoted by the angle symbol ∠ and the three letters representing the name of the angle.

Learn more about angles here:

brainly.com/question/25716982

#SPJ9

8 0
2 years ago
MATH HELP LEASE WILL GIVE BRAINLIEST!!!
Marysya12 [62]
The answer is (22) hope it helps have a great day
8 0
3 years ago
I NEED HELPPPP PLEASE RN!!
Romashka-Z-Leto [24]

Answer:

is A

Step-by-step explanation

b you n t p

3 0
3 years ago
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A cube has a volume of 800 cubic units. the length of the edge of this cube is between which two numbers?
8090 [49]
I set this up as an inequality, 800 \leq  s^{3}.  If you take the cubed root of 800, you get the lower bound of the side length, which is 9.2.  Then I just worked my way up until I hit the first number that put me over a volume of 800.  That number is 9.29, because 9.28 cubed is 799.1 (not high enough) and 9.29 cubed is 801.8.  Therefore, the bounds of the sides exist within a conjunction: 9.2\ \textless \ s\ \textless \ 9.29.  That's the best I could come up with to help on that one.  Wasn't sure if there was another method you were taught at school. I just used common sense more than any rule.
8 0
3 years ago
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