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3 years ago

If you multiply -2/3 by 1/5 is it a rational number?

Mathematics

1 answer:

Marizza181 [45]3 years ago

8 0

Yes because Rational Numbers include decimals, fractions, and integers.

You might be interested in

Write an expression to show how many minutes are equal to x hours

yawa3891 [41]

I would do
60x
60 minutes in an hour
X is the number of hours
It should work

5 0

3 years ago

Use variation of parameters to find a general solution to the differential equation given that the functions y1 and y2 are linea

Aleks [24]

Recall that variation of parameters is used to solve second-order ODEs of the form

y''(t) + p(t) y'(t) + q(t) y(t) = f(t)

so the first thing you need to do is divide both sides of your equation by t :

y'' + (2t - 1)/t y' - 2/t y = 7t

You're looking for a solution of the form

$y=y_1u_1+y_2u_2$

where

$u_1(t)=\displaystyle-\int\frac{y_2(t)f(t)}{W(y_1,y_2)}\,\mathrm dt$

$u_2(t)=\displaystyle\int\frac{y_1(t)f(t)}{W(y_1,y_2)}\,\mathrm dt$

and W denotes the Wronskian determinant.

Compute the Wronskian:

$W(y_1,y_2) = W\left(2t-1,e^{-2t}\right) = \begin{vmatrix}2t-1&e^{-2t}\\2&-2e^{-2t}\end{vmatrix} = -4te^{-2t}$

Then

$u_1=\displaystyle-\int\frac{7te^{-2t}}{-4te^{-2t}}\,\mathrm dt=\frac74\int\mathrm dt = \frac74t$

$u_2=\displaystyle\int\frac{7t(2t-1)}{-4te^{-2t}}\,\mathrm dt=-\frac74\int(2t-1)e^{2t}\,\mathrm dt=-\frac74(t-1)e^{2t}$

The general solution to the ODE is

$y = C_1(2t-1) + C_2e^{-2t} + \dfrac74t(2t-1) - \dfrac74(t-1)e^{2t}e^{-2t}$

which simplifies somewhat to

$\boxed{y = C_1(2t-1) + C_2e^{-2t} + \dfrac74(2t^2-2t+1)}$

4 0

3 years ago

A truck is carrying a cars weighing an average of 4500 pounds each what is the total weight in tons of cars on the truck

Yuliya22 [10]

Answer:

2.25 tons

Step-by-step explanation:

It is a conversion problem. The connection between ton and pound is in the following order:

1 pound = 0.0005 tons

By multiplying each side by 4500 we can easily find the answer of this problem:

4500 pounds = 2.25 tons

4 0

4 years ago

Check the picture of the necessary information

denis-greek [22]

The probability would be out of 100,
in this case if it refers to the data from 2009 it would be 39:61

4 0

2 years ago

At what time since leaving their flowers do Bee 1 and Bee 2 have the same distance remaining?

GrogVix [38]

By reading the given graph with the two linear functions, we want to see at which time do the two bees have the same distance remaining. We will see that the correct option is B, 6 minutes.

So, in the graph, we have distance remaining on the vertical axis and time on the horizontal axis.

We also have two lines, each one describing the distance of each bee as a function of time.

We want to see at which time do the two bees have the same distance remaining, thus, we need to see when the lines intersect (this means that for the same time, the two bees have the same distance remaining).

In the graph, we can see that the intersection happens at the time of 6 minutes, thus the correct option is B; 6 minutes.

If you want to learn more about linear function's graphs, you can read:

brainly.com/question/4025726

6 0

3 years ago