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Tju [1.3M]
3 years ago
13

How can exponential and logarithmic functions be combined?

Mathematics
1 answer:
OLEGan [10]3 years ago
4 0
It really depends on the question and what you want to solve. An exponential function can be written as y = x^2 and if you are solving for y then it will be log(base x) y = 2.

More Examples:
3x = 15
(log both sides with base of 3)
log(3)3x = log(3)15
since log(3)3 = 1 then,
(1)x = log(3)15
x = log 15 / log 3
= 2.465
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Silicone implant augmentation rhinoplasty is used to correct congenital nose deformities. The success of the procedure depends o
erik [133]

Answer:

The 95% confidence interval for the true average strain is between 23.94% and 28.06%.

Step-by-step explanation:

We have the standard deviation of the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 13 - 1 = 12

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 12 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.95}{2} = 0.975. So we have T = 2.18

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 2.18\frac{3.4}{\sqrt{13}} = 2.06

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 26 - 2.06 = 23.94

The upper end of the interval is the sample mean added to M. So it is 26 + 2.06 = 28.06

The 95% confidence interval for the true average strain is between 23.94% and 28.06%.

3 0
3 years ago
Please help ASAP, dhdbhehd
Fynjy0 [20]

Answer:

42°

Step-by-step explanation:

all triangles have 180 degrees, you are given 48. the symbol above 48 tells you it is 90 degrees. ther fore you can use 180- 90 - 48= 42

6 0
3 years ago
- 2x – 5 &lt; 12<br> Yo help
Elina [12.6K]

Answer:

x > -17/2

Step-by-step explanation:

Step 1: Write inequality

-2x - 5 < 12

Step 2: Solve for <em>x</em>

<u>Add 5 to both sides:</u> -2x < 17

<u>Divide both sides by -2:</u> x > -17/2

Here, we can see that any number greater than -17/2 would work, so x could equal 01234718905731857013570 if we wanted it to, as long as it is greater than -8.5.

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3 years ago
The creation of knowledge is a public good. Because knowledge is a public good, profit-seeking firms tend to free-ride on the kn
patriot [66]

Answer:Specific, technological knowledge can be patented. The inventor thus obtains much of the

benefit of his invention. Our government also subsidizes basic research in many different fields.

Step-by-step explanation:Patent law is the branch of intellectual property law which specifically caters to new inventions.

Patents protect valuable scientific inventions but it has evolved in a way that it now also protects business practices , coding algorithm and other crucial inventions.

5 0
3 years ago
If f(x) = x2 – 2x, find:<br> X<br> -<br> f(-3) = [?]
Reptile [31]

Did you mean :

f(x) = x² - 2x, find x = -3

f(-3) = (-3)² - 2(-3)

f(-3) = 9 + 6

f(-3) = 15

6 0
3 years ago
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