3 years ago

A train is moving at a uniform speed of 75 km/hour. How far will it travel in 20 minutes

Mathematics

1 answer:

nalin [4]3 years ago

4 0

Answer:

I am pretty sure it is 25 hope that helps

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Determine the root of the equation

larisa [96]

Answer:

0.97087

Step-by-step explanation:

Given the function:

$f(x) = e^{2x} - x - 6$

Its first derivative is:

$f'(x) = 2e^{2x} - 1$

Using Newton's method:

$x_{n+1} = x_n - \frac{f(x_n)}{f'(x_n)}$

and starting with the point:

$x_1 = 0.95$

we get:

$f(x_1) = e^{2(0.95)} - 0.95 - 6 = -0.26410$

$f'(x_1) = 2e^{2(0.95)} - 1 = 12.37178$

$x_2 = x_1 - \frac{f(x_1)}{f'(x_1} = 0.95 - \frac{-0.26410}{12.37178} = 0.97134$

$f(x_2) = e^{2(0.97134)}- 0.97134 - 6 = 0.00608$

$f'(x_2) = 2e^{2(0.97134)} - 1 = 12.95485$

$x_3 = 0.97134 - \frac{0.00608}{12.95485} = 0.97087$

$f(x_3) = e^{2(0.97087)} - 0.97087 - 6 = -2.6240413 \cdot 10^{-7}$

6 0

3 years ago

Write an equation of the line with the same slope as the line given by 5x + 2y = 8 and the same y-intercept as the line given by

kaheart [24]

In y = mx + b form, the slope is in the m position and the y intercept is in the b position.

5x + 2y = 8
2y = -5x + 8
y = -5/2x + 8.....slope (m) is -5/2

3x - 7y = 10
-7y = -3x + 10
y = 3/7x - 10/7.....y int (b) = -10/7

so ur equation with slope(m) of - 5/2 and y int (b) of -10/7 is :
y = -5/2x - 10/7 <== slope intercept form

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3 years ago

Three straight lines have exactly two points of intersection complete the sentence below : two of the lines must be .....

olga nikolaevna [1]

Paralell i forgot how to spell it lol

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4 years ago

You are planning a skating party at a rink that charges a basic fee of $6.00 and $6.50 per person for catered parties. You don't

Marysya12 [62]

Answer:

y = 6.50x + 6 or 71 = 6.50x + 6

10 people are the max you can invite

Step-by-step explanation:

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3 years ago

Nicole has $9 to spend on cards. She finds friends with the same amount of money to split the cost of a set. One set costs $27.

azamat

Each friend gets three cards.

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3 years ago