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svp [43]
3 years ago
5

How can a number line be used to explain why 11.6>11.3

Mathematics
1 answer:
____ [38]3 years ago
4 0
Draw a number line and make it from 11 to 12. for each tick add it by .1
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Differentiating a Logarithmic Function in Exercise, find the derivative of the function. See Examples 1, 2, 3, and 4.
wlad13 [49]

Answer:

\frac{dy}{dx}=\frac{x(1-2lnx)}{x^{4}}

Step-by-step explanation:

To solve the question we refresh our knowledge of the quotient rule.

For a function f(x) express as a ratio of another functions u(x) and v(x) i.e

f(x)=\frac{u(x)}{v(x)}\\, the derivative is express as

\frac{df(x)}{dx}=\frac{v(x)\frac{du(x)}{dx}-u(x)\frac{dv(x)}{dx}}{v(x)^{2} }

from y=lnx/x^{2}

we assign u(x)=lnx and v(x)=x^2

and the derivatives

\frac{du(x)}{dx}=\frac{1}{x}\\\frac{dv(x)}{dx}=2x\\.

Note the expression used in determining the derivative of the logarithm function.it was obtain from the general expression of logarithm derivative i.e y=lnx\\\frac{dy}{dx}=\frac{1}{x}

If we substitute values into the quotient expression we arrive at

\frac{dy}{dx}=\frac{(x^{2}*\frac{1}{x})-(2x*lnx)}{x^{4}}\\\frac{dy}{dx}=\frac{x-2xlnx}{x^{4}}\\\frac{dy}{dx}=\frac{x(1-2lnx)}{x^{4}}

8 0
3 years ago
What is the point-slope form of a line with slope 3 that contains the point (2,1)?
Serjik [45]

Answer:

A) y-1=3(x-2)

Step-by-step explanation:

Point-slope formula.

y-y_1=m(x-x_1)

Given.

Slope (m) = 3

Points (x, y) = (2, 1)

8 0
3 years ago
Write three factors if algebraic term 5k
ExtremeBDS [4]
5, k, 5k................
5 0
3 years ago
Read 2 more answers
Answer quick for brainliest!
Gnom [1K]

A

Step-by-step explanation:

8 0
3 years ago
The average systolic blood pressure was found to be 140 mm for people who have high responsibility jobs, specifically investment
9966 [12]

Answer:

Option B)

H_{0}: \mu = 140\text{ mm}\\H_A: \mu < 140\text{ mm}

Step-by-step explanation:

We are given the following in the question:

Hypothesis:

The doctors and u=instructor claims that practicing yoga reduces blood pressure and hence is beneficial to people.

Population mean, μ =  140 mm

Sample mean, \bar{x} =  139 mm

Sample size, n = 51

Sample standard deviation, s = 5 mm

Thus, we can design the null hypothesis and alternate hypothesis as

H_{0}: \mu = 140\text{ mm}\\H_A: \mu < 140\text{ mm}

The null hypothesis states that the population have a blood pressure of 140 mm. The alternate hypothesis states that yoga reduces the blood pressure and the sample has a blood pressure less than 140 mm.

Thus, the correct answer is

Option B)

H_{0}: \mu = 140\text{ mm}\\H_A: \mu < 140\text{ mm}

3 0
3 years ago
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