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kupik [55]
3 years ago
15

F(x)=16^X 1. F(x)=4 x/4 2.f(x)=2^4x 3. F(x)=2 x/4 4. F(x)=4^4x

Mathematics
1 answer:
kicyunya [14]3 years ago
4 0

Answer:

2.f(x)=2^4x

Step-by-step explanation:

16^x

We can rewrite 16 as 2^4

2^4^x

We know that a^b^c is equal to a^ (b*c)

so 2^(4*x)

2^(4x)

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Identify is this is percent increase or percent decrease, then calculate percentage
vlabodo [156]

<em>Last year the chess club had 30 members. This year the club has 24 members. </em>

Last year, the chess club had 30 members. This year, the club has 24 members. Since this year had less than last year ( 30 > 24), the percent will be decreasing.

To find the percent decrease, you have to use the following formula.

\frac{Difference}{Original} \times 100

Difference refers to the difference between the two numbers, 24 and 30. The difference between 24 and 30 is 6. Original refers to the original number, which is last year's amount of members in the chess group. Therefore, original = 30.

Substitute the numbers into the formula.

\frac{Difference}{Original} =\frac{6}{30} =0.2

To convert the decimal to a fraction, multiply the decimal by 100.

0.2 \times 100 = 20 \%

The answer is the number of chess members decreased by 20%.

____

Since I started off by identifying whether it was decreasing or increasing, I did the work a bit differently. When finding the difference, you would usually subtract 30 from 24, which results in -6. Above I used 6, but if you used -6, you would end up with a result of -20%, which means it decreased by 20%. They bot end up with the same result, but you don't always have to first identify whether it's decreasing or increasing.

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3 0
3 years ago
Find the distance between the pair of points. give an exact answer, and, where appropiate, and apporximation to two decimal plac
atroni [7]
  • Distance Formula: \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}
  • Product rule of radicals: √ab = √a x √b

Using our two points, we can solve for the distance as such:

\sqrt{(4-(-6))^2+(3-(-1))^2}\\ \sqrt{(10)^2+(4)^2}\\ \sqrt{100+16}\\ \sqrt{116}

Now our exact answer may be √116, however using the product rule of radicals we can further simplify the radical as such:

√116 = √4 x √29 = 2√29.

  • Exact Answer: <u>√116 or 2√29</u>
  • Approximate Answer: <u>10.77</u>
8 0
3 years ago
Need help with this question. I tried simplifying the radical, but apparently it’s not the answer
sesenic [268]

Answer:

-1/5+(√3)/20i   or   -0.2+0.05√3i

Step-by-step explanation:

  \dfrac{-8+\sqrt{-12}}{40}=-\dfrac{8}{40}+\dfrac{2\sqrt{3}i}{40}=\boxed{-\dfrac{1}{5}+\dfrac{1}{20}\sqrt{3}\,i=-0.2+0.05\sqrt{3}\,i}

_____

<em>Comment on answer form</em>

Satisfying the input format requirements of a computer is always problematic. One never knows if fractions or decimals are preferred, whether radicals must be simplified, and so on. If no clues are offered by general instructions, other questions, or previous experience, then it might be useful to consult your instructor.

4 0
3 years ago
What is the area of a trapezoid if the base is 5, 17, 5 and height is 4
Snowcat [4.5K]

Answer:

Step-by-step explanation:

Trapezoid

Solve for area

A=44

a Base  

5

b Base  

17

h Height  

4

7 0
3 years ago
What 36.6 divided by 12
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The answer is to this problem 3.025
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4 years ago
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