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3 years ago

A point is chosen at random on AK. What is the probability that the point will be on overline CD ? Don't forget to reduce.

Mathematics

1 answer:

Elena L [17]3 years ago

8 0

Answer:

$P(CD) = \frac{1}{10}$

Step-by-step explanation:

Given

$AK = 10$

See attachment for line AK

Required

Probability of choosing CD

From the attachment:

$CD=D-C$

$CD=3 - 2$

$CD = 1$

So:

$P(CD) = \frac{CD}{AK}$

$P(CD) = \frac{1}{10}$

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What is the solution to the equation<br> 1/2x+3 = 2/3+1?

Alex

Answer:

x = -8/3

Step-by-step explanation:

1/2x+3 = 2/3+1

Combine like terms

1/2x+3 = 2/3 + 3/3

1/2x + 3 = 5/3

Subtract 3 from each side

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Multiply each side by 2

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1 year ago

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3 years ago

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poizon [28]

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2 years ago

Read 2 more answers

Find the slope of the tangent line to the curve f(x)=e^(x) at (0.4,1.49)

almond37 [142]

Answer:

1.49

Step-by-step explanation:

In order to find the slope of the tangent line to a given equation, and in a given point, we need to:

1. Find the first derivative of the given function.

2. Evaluate the first derivative function in the given point.

1. Let's find the first derivative of the given function:

The original function is $f(x)=e^{x}$

But remeber that the derivative of $e^{x}$ is $e^{x}$

so, $f'(x)=e^{x}$

2. Let's evaluate the first derivative function in the given point

The given point is (0.4,1.49) so:

$f'(x)=e^{x}$

$f'(0.4)=e^{0.4}$

$f'(x)=1.49$

Notice that the calculated slope of the tangent line is equal to the y-coordinate of the given point because f'(x)=f(x). In conclusion, the slope of the tangent line is equal to 1.49.

8 0

3 years ago