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Reptile [31]
3 years ago
9

What is the derivative of this function?

Mathematics
1 answer:
Alex17521 [72]3 years ago
6 0
\bf y=\sqrt{x}-\left( \frac{1}{2} \right)^x\implies y=x^{\frac{1}{2}}-\left( \frac{1}{2} \right)^x\implies \cfrac{dy}{dx}=\frac{1}{2}x^{\frac{1}{2}-1}-\left( \frac{1}{2} \right)^xln\left( \frac{1}{2} \right)
\\\\\\
\cfrac{dy}{dx}=\frac{1}{2}x^{-\frac{1}{2}}-\left( \frac{1}{2} \right)^xln\left( \frac{1}{2} \right)\implies 
\cfrac{dy}{dx}=\cfrac{1}{2\sqrt{x}}-\left( \frac{1}{2} \right)^xln\left( \frac{1}{2} \right)
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In which number does the digit 4 have a value that is \dfrac{1}{10} 10 1 ​ start fraction, 1, divided by, 10, end fraction times
MrRissso [65]

Answer:

The digit 4 should be in the thousand position in the number sought;

Examples  

9.30<u>4</u>,

9.00<u>4</u>

Step-by-step explanation:

Here, we are required to consider decimal places of numbers

The digit 4 in the number 3.8463 is in the hundredth position

That is 0.04

We are asked to look for the number with a digit 4 that has the same value as \frac{1}{10} \times the digit 4 in 3.8463

That is

\frac{1}{10}  \times 0.04 = 0.004

Therefore, the digit 4 in the number sought should be in the thousandth position, that is 0.004

Example includes 9.304 or 9.004.

4 0
3 years ago
Help me please I will give brainliest
ExtremeBDS [4]
The correct answer would be B because it is is written in correct simplified format
8 0
3 years ago
Which of the statements are true about the function f given by f(x) = 100-e? Select all that apply.
tatiyna

From the above function, it is clear that the value of f is never 0. Hence the statement that is true is (Option E), See explanation of same below.

<h3>What is the explanation for the above function?</h3>

Note that the function is related to Euler's number which is depicted as:
e ≈ 2.7182. The function is given as:

f(x) = 100 * e^{-x}

Assuming x = -2, we'd have:

100 * 2.7182^{-2}

= 271.82^{-2}

= 0.00001353354

Hence, even when x tends < 0 the function f(x) thus, is never 0. See the attached graph for confirmation.

Learn more about functions at:

brainly.com/question/25638609

#SPJ1

6 0
2 years ago
What is the area of a right triangle with a hypotenuse of 12 and 1 leg is 10??
Agata [3.3K]
Hey there! :)

Area of triangles → (base × height) ÷ 2

The base and height are the 2 legs. You have to find the length of the other leg to find the area, using the Pythagorean Theorem.

a² + b² = c² → c² - a² = b²

c = 12
12² = 12 × 12 = 144

a = 10
10² = 10 × 10 = 100

144 - 100 = 44

√44 = 6.6
_____________________________________________________________

Area of triangles → (base × height) ÷ 2

Base: 10
Height: 6.6

6.6 × 10 = 66

66 ÷ 2 = 33

The area is 33 

Hope this helps :)


5 0
3 years ago
Match the equation with its corresponding solution for x. 4x + 7 = 35
lyudmila [28]
Are you wanting to solve for x? If so:
4x + 7 = 35
We want to isolate the variable, so subtract 7 from both sides.  You will get:
4x = 28
Now, divide each side by 4 to get X by alone. This will give you:
x = 7
I hope this helped.
8 0
3 years ago
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