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zmey [24]
2 years ago
9

Find f '(x) for f of x equals the square root of the quantity sine of 8 times x.

Mathematics
1 answer:
11Alexandr11 [23.1K]2 years ago
8 0
f(x)=\sqrt{\sin{8x}}\\f'(x)=\frac{8\cos{8x}}{2\sqrt{\sin{8x}}}
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How can you write the equation for a linear function if you know only two ordered pairs for the function?
Vinvika [58]
1. m
2. One set of ordered pairs
3. b

To show why this is, I’m going to explain how to write the equation for a linear function with two random sets of ordered pairs - (1,0) and (5, 8).

First, find the slope. The formula for slope is m = (y2 - y1)/(x2-x1) where m is the slope and (x1, y1) and (x2, y2) are two sets of points.

This is why #1 is m. M is the letter used when finding slope.

To find m, I plug in the two sets of ordered pairs.

m = (8-0)/(5-1)
m = 8/4
m = 2

An equation for a line (linear function) is written in something called slope-intercept form. It looks like y = mx + b. m is the slope and b is the y-intercept (number y equals when x = 0). If m = 3 and b = 1, the equation would be y = 3x + 1.

Here, you have just solved for m and know it equals 2. Plug that value in for m.

y = 2x + b

To solve for b, plug one ordered pair in for x and y. I will use (1,0)

0 = 2(1) + b
0 = 2 + b
-2 = b

Now that you know b = -2, plug that in for b.
y = 2x - 2. Now you have the equation fo the line.
4 0
3 years ago
What is solution to this equation 4x=124
kkurt [141]

4x= 124

divide both sides by 4 to get x by itself

4x/4= 124/4

Cross out 4 and 4, divide by 4 and then becomes 1*1*x= x

124/4

12/4= 3

4/4= 1

Answer: x= 31

7 0
2 years ago
78/25 as a terminating decimal
Kazeer [188]
To write \frac{78}{25} as a terminating decimal we will turn this fraction to a decimal. To do this we will divide the numerator by the deliminator and the result will be the decimal.Then we will check if it is a terminating decimal or repeating decimal. Lets do it:-

\frac{78}{25}
78 ÷ 25 = 3.12

3.12 is a terminating decimal. 

So, \frac{78}{25} as a terminating decimal is 3.12.

Hope I helped ya!! 
8 0
2 years ago
Read 2 more answers
PLEASE help
astraxan [27]

Answer:

The percentage of people should be seen by the doctor between 13 and

17 minutes is 68% ⇒ 2nd term

Step-by-step explanation:

* Lets explain how to solve the problem

- Wait times at a doctor's office are typically 15 minutes, with a standard

 deviation of 2 minutes

- We want to find the  percentage of people should be seen by the

 doctor between 13 and 17 minutes

* To find the percentage we will find z-score

∵ The rule the z-score is z = (x - μ)/σ , where

# x is the score

# μ is the mean

# σ is the standard deviation

∵ The mean is 15 minutes and standard deviation is 2 minutes

∴ μ = 15 , σ = 2

∵ The people should be seen by the doctor between 13 and

   17 minutes

∵ x = 13 and 17

∴ z = \frac{13-15}{2}=\frac{-2}{2}=-1

∴ z = \frac{17-15}{2}=\frac{2}{2}=1

- Lets use the standard normal distribution table

∵ P(z > -1) = 0.15866

∵ P(z < 1) = 0.84134

∴ P(-1 < z < 1) = 0.84134 - 0.15866 = 0.68268 ≅ 0.68

∵ P(13 < x < 17) = P(-1 < z < 1)

∴ P(13 < x < 17) = 0.68 × 100% = 68%

* The percentage of people should be seen by the doctor between

  13 and 17 minutes is 68%

6 0
2 years ago
30 POINTS!!
Anuta_ua [19.1K]
Answer is D


Step by step explanation
7 0
3 years ago
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