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1 year ago

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Mathematics

1 answer:

sergij07 [2.7K]1 year ago

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Which number line below correctly represents the expression -3 + 4?

Archy [21]

Answer:

1st answer

Step-by-step explanation:

First you subrtract 3 from 0 then add 4 to -3

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3 years ago

Determine the vertical asymptote for the rational function f(x) = x - 4 over 2x + 3.

mr_godi [17]

Vertical asymptotes happen at x=a if the function is undefined at x=a.

This is a rational functions, and rational functions are not defined when the denominator is zero, since you can't divide by zero.

In this case, the denominator is zero if

$2x+3=0 \iff 2x=-3 \iff x=-\drac{3}{2}$

And thus the function has a vertical asymptote at x= -3/2

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2 years ago

Over the course of a multi-stage 4510-km bicycle race, the front wheel of an athlete's bicycle makes 1.70x106 revolutions. How m

iragen [17]

Answer:

The wheel have made $2.10 * 10^{6} m$ revolutions.

Step-by-step explanation:

The total distance traveled during the race is

D = 4510km [(1000m)/(1km)] = $4510 * 10^{3} m$

The radius (r1) of the smaller bicycle wheel is

r1 = $\frac{D}{2*pi*N1} = \frac{4510 * 10^{3} m }{2*pi*(2.18*10^{6}) } =0.329 m$

Than the larger wheel has a radius

r2 = 0.329 m + 0.012 m = 0.341 m

Over the same distance this wheel would make N2 revolutions

N2 = $\frac{D}{2*pi*r2} = \frac{4510 * 10^{3} m }{2*pi*(0.341) } = 2.10 * 10^{6} m$

8 0

3 years ago

What is 18:14 equal to _:56?

Vlada [557]

56÷14 = 4 so 18×4 = 72. The answer is 72:56

6 0

3 years ago

Solve differential equation. Just explain the first 2 steps

lutik1710 [3]

(1) will write us of the following form

$\dfrac{dy}{dx}+y^2\sin x=0\\ \\
$

(2) [do not it need explanation]

$\dfrac{dy}{dx}=-y^2\sin x\\ \\
$

(3) Left place variable "y" and right place, variable "x" like this

$\dfrac{dy}{y^2}=-\sin x\, dx\\ \\$

(4) Integrate both members

$\displaystyle
\int \dfrac{dy}{y^2}=\int-\sin x\, dx\\ \\$

(5) Solve us the integrals

$-\dfrac{1}{y}= \cos x+C$

(6) Isolate variable "y"

$\boxed{y=-\dfrac{1}{\cos x+C}}$

C: any cosntant

4 0

2 years ago