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3 years ago

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Mathematics

1 answer:

Korolek [52]3 years ago

8 0

Answer:

Step-by-step explanation:

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A black car and a green car are traveling at the same speed. The black car drives 3 hours. The green car drives 3.5 hours and go

Burka [1]

Answer:

x=25 1/3.5-3

Step by Step Explanation:

1/2=25 miles

6 0

3 years ago

Mhanifa please help! This is already late and I need it done ASAP!

Debora [2.8K]

Answer:

Given all right triangles

<u>Use Pythagorean to find the missing side:</u>

a² + b² = c², where c- hypotenuse

=1=

x² = 6² + 3² = 45
x = √45
x = 6.7

=2=

x² = 12² + 5² = 169
x = √169
x = 13

=3=

x² = 2² + 5² = 29
x = √29
x = 5.4

5 0

3 years ago

Analyzing a Graph In Exercise, analyze and sketch the graph of the function. Lable any relative extrema, points of inflection, a

Sladkaya [172]

Answer:

$y=(\ln{x})^2$

point of extremity: (1,0)

vertical asymptote: along the y-axis (x = 0)

point of inflection: (e,1)

Solution:

Although all these points can be directly observed from the graph below, but these are the analytical solutions if you're curious!

1) Extreme point can be found by differentiating 'y' once and equating to zero. solving for x:

$\dfrac{dy}{dx}=\dfrac{dy}{dx}((\ln{x})^2)$

$\dfrac{dy}{dx}=2\ln{x}\left(\dfrac{1}{x}\right)$

substitute dy/dx = 0, and solve for x

$0=2\ln{x}\left(\dfrac{1}{x}\right)$

$0=2\ln{x}$

$x=e^0$

$x=1$

use this value of x back in y, to find the y-coordinate of the extreme point

$y=(\ln{1})^2$

$y=0$

The extreme point = (1,0)

2) Differentiate y twice to find the inflection point.

$\dfrac{dy}{dx}=2\ln{x}\left(\dfrac{1}{x}\right)$

$\dfrac{d^2y}{dx^2}=2\ln{x}\left(-\dfrac{1}{x^2}\right)+\left(\dfrac{1}{x}\right)\left(\dfrac{2}{x}\right)$

$\dfrac{d^2y}{dx^2}=\dfrac{2}{x^2}\left(-\ln{x}+1}\right)$

substitute d2y/dx2 = 0, and solve for x

$0=\dfrac{2}{x^2}\left(-\ln{x}+1}\right)$

$0=-\ln{x}+1$

$\ln{x}=1$

$x = e$

use this value of x back in y, to find the y-coordinate of the inflection point

$y=(\ln{e})^2$

$y=1$

The extreme point = (e,1)

6 0

3 years ago

Is this correct? Just say yes/ no and gain 13 points

sleet_krkn [62]

Answer:

No, it is 11 $\frac{1}{3}$ or 11 1/3

Step-by-step explanation:

3 0

3 years ago

2. Why is 1 8 cup equal to 1 fluid ounce?

elena-s [515]

1/8 of a cup to 1 fluid ounce let’s just say because of measurement

5 0

3 years ago