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3 years ago

Is a mixed number a ration number? Explain.

2 answers:

8 0

Any number that can be rewritten as a simple fraction is a rational number. This means that natural numbers, whole numbers and integers, like 5, are all part of the set of rational numbers as well because they can be written as fractions, as are mixed numbers like 1

Delicious77 [7]3 years ago

5 0

Yes, mixed numbers are rational numbers.

All rational numbers can be written as a ratio of two integers (a fraction). when divided out, they may be non-terminating (go on forever), but if they do, they will always be repeating.
For example:
1/2 divides out to 0.5 exactly.
1/3 divides out to 0.33333.....

Both numbers are rational.

You might be interested in

Write the ratio of the first measurement to the second measurement. Compare in millimeters.

liraira [26]

Yo sup??

First measurement=44 mm

Second measurement=7.6 cm

=7.6*10 mm

=76 mm

Ratio=76:44

=19:11

Hope this helps

3 0

3 years ago

Follow the process of completing the square to solve x^2 - 10x + 8 = 0. What is the value of the constant that will be isolated

My name is Ann [436]

To solve using completing square method we proceed as follows:
x^2-10x+8=0
x^2-10x=-8
but
c=(b/2)^2
c=(10/2)^2=25
thus we can add this in our expression to get
x^2-10x+25=8+25
factorizing the LHS we get:
(x-5)(x-5)=33
(x-5)^2=33
getting the square roots of both sides we have:
x-5=+/-√33
x=5+/-√33

7 0

3 years ago

Read 2 more answers

Y=4 horizontal yes or no

Serga [27]

Answer:

yes

Step-by-step explanation:

The equation of a horizontal line parallel to the x-axis is

y = c

where c is the value of the y- coordinates the line passes through

y = 4 is a horizontal line passing through all points with a y- coordinate of 4

4 0

3 years ago

A walking path across a park is represented by the equation y=-3x - 3.A

kifflom [539]

Answer:

y -6 = 1/3(x +3) or y = 1/3x +7

Step-by-step explanation:

The slope of the line describing the given path is the x-coefficient, -3. The slope of the perpendicular line will be the negative reciprocal of that:

m = -1/(-3) = 1/3

The point-slope form of the equation for a line can be used to write the equation for the new path:

y -k = m(x -h) . . . . . line with slope m through point (h, k)

For m=1/3 and (h, k) = (-3, 6), the new path can be represented by ...

y -6 = 1/3(x +3) . . . . point-slope form

y = (1/3)x +7 . . . . . . slope-intercept form

5 0

2 years ago

HI PLEASE HELP ME WITH MY CALCULUS 1 HW? I AM REALLY STUCK. I need help with parts d,e,g.

asambeis [7]

(d) The particle moves in the positive direction when its velocity has a positive sign. You know the particle is at rest when $t=0$ and $t=3$ , and because the velocity function is continuous, you need only check the sign of $v(t)$ for values on the intervals (0, 3) and (3, 6).

We have, for instance $v(1)\approx-0.91$ and $v(4)\approx0.91>0$ , which means the particle is moving the positive direction for $3$ , or the interval (3, 6).

(e) The total distance traveled is obtained by integrating the absolute value of the velocity function over the given interval:

$\displaystyle\int_0^6|v(t)|\,\mathrm dt=\int_0^3-v(t)\,\mathrm dt+\int_3^6v(t)\,\mathrm dt$

which follows from the definition of absolute value. In particular, if $x$ is negative, then $|x|=-x$ .

The total distance traveled is then 4 ft.

(g) Acceleration is the rate of change of velocity, so $a(t)$ is the derivative of $v(t)$ :

$a(t)=v'(t)=-\dfrac{\pi^2}9\cos\left(\dfrac{\pi t}3\right)$

Compute the acceleration at $t=4$ seconds:

$a(t)=\dfrac{\pi^2}{18}\dfrac{\rm ft}{\mathrm s^2}$

(In case you need to know, for part (i), the particle is speeding up when the acceleration is positive. So this is done the same way as part (d).)

6 0

3 years ago