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SIZIF [17.4K]
2 years ago
8

An exponential function with a base of 1/2 has been vertically compressed by a factor of 3/4 and reflected in the x-axis. It's a

symptote is the line y= -4. What is the equation of the function?
Mathematics
1 answer:
joja [24]2 years ago
7 0
We are asked in this problem to determine the expression of an exponential function given the data above. The standard form of an exponential function is expressed as y = a^x + b was a is the base constant and b is another constant. In this case, a is given to be equal to 1/2. since the graph is said to be shrunk down to 3/4 then the initial expression would have to be y = 3/4*(1/2)^x + b. b is determined through the given asymptote in the problem. An asymptote is an axis or the line in which the graph approaches but never touches. b is equal to -4. In this case, the overall expression is y = 3/4 *(1/2)^x - 4.
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What is 576 hundredths in decimal form
fiasKO [112]
5.76 because the hundredths place is two spaces to the right of the decimal point.
6 0
2 years ago
A company claims that its tablet computers have an average recharge time of 3 hours. Using a random sample of 50 company tablet
kondor19780726 [428]

Solution:

The Statement made by company about it's tablet computer,

Average recharge time = 3 Hours

As, to check whether the company claim is illegal or true

A random sample of 50 company tablet computers, and their recharging time is noted.

As, we have taken random sample , so standard deviation will come into consideration whether company claim is true or false.

Mean recharge time of 50 company tablet computers=  2.5 hours

Standard deviation of 50 company tablet computers=  0.3 hours

So, Mean standard deviation =

   2.5 \pm0.3\\\\ 2.5 -0.3 \leq {\text{Mean standard deviation}}\leq 2.5+0.3\\\\ 2.2\leq {\text{Mean standard deviation}}\leq 2.8

So, Claim made by company , that its tablet computers have an average recharge time of 3 hours is  Approximately true.

As , there is fluctuation of (3 hours - 2.2 hours =3-2.12=48 minutes ) and (3 hours -2.8 hours=3-2.48=12 minutes), which is not so much ,so we can believe on this company and buy the product (that is tablet computers) of this company.

7 0
2 years ago
Read 2 more answers
Compare 5.7145... And the square root of 29
svlad2 [7]

To get the square root of 29, we can simply use a calculator.

So the square root of 29 using the calculator is:

sqrt (29) = 5.3852

 

<span> So we can say that 5.7145 is greater than the square root of 29.</span>

<span>The difference is 5.7145 – 5.3852 = 0.3293</span>

4 0
2 years ago
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The image of a triangle after it has been dilated with a center of dilation at the origin has vertices at A prime(12, –6), B pri
nika2105 [10]

Answer:

C is (-18, 24)

Scale factor --> 1 1/3

A is (9, - 4 1/2)  *4 1/2 is also 4.5

<u><em>Brainliest please, I need a few more :D</em></u>

5 0
2 years ago
Read 2 more answers
Pls help i have a test tmrw and i don't understand anything
Alex777 [14]

Answer:

Step-by-step explanation:

Go on super teacher worksheets to get the answer key

3 0
2 years ago
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