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4 years ago

Is the difference of two positive rational number always positive? Explain.

Mathematics

2 answers:

ankoles [38]4 years ago

4 0

No, because if you subtract 2.5 from 1.5, you get negative 1.

BigorU [14]4 years ago

4 0

Differnece is subtract

hmm
example
5 and 6
6-5=-1
it is not always positive

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The circumference of a circle is 18 pi feet. What is the area in terms of pi?

Nastasia [14]

Answer:

I am not sure if this is right but the answer is

The area of a circle with circumference 18π is 254.5

3 0

3 years ago

Basil earned 631.40 in 7 years on an investment at a 5.5% simple interest rate. How much was basils investment

8090 [49]

7 * 0.055 = 0.385

631.40 / 0.385 = $1,640

7 0

3 years ago

Write:<br> 3^-4 in standard form

pav-90 [236]

Answer:

$\frac{1}{81}$

Step-by-step explanation:

<u>Key skills: Exponents + Fractions</u>

Use the negative exponent property. If your number is x^-y then it would be the same as 1/x^y

3^-4 is the same as $\frac{1}{3^{4}}$

3^4 is 81, so your answer would be 1/81.

Hope you have a nice day and understood this!

4 0

3 years ago

A Markov chain has 3 possible states: A, B, and C. Every hour, it makes a transition to a different state. From state A, transit

Sedaia [141]

Answer:

A) distribution of x2 = ( 0.4167 0.25 0.3333 )

B) steady state distribution = $\pi a \frac{4}{9} , \pi b \frac{2}{9} , \pi c \frac{3}{9}$

Step-by-step explanation:

Hello attached is the detailed solution for problems A and B

A) distribution states for A ,B, C:

Po = ( 1/3, 1/3, 1/3 ) we have to find the distribution of x2 as attached below

after solving the distribution

x 2 = ( 0.4167, 0.25, 0.3333 )

B ) finding the steady state distribution solving

$\pi p = \pi$

below is the detailed solution and answers

8 0

3 years ago

Margie is standing on a bridge looking at the river below. She throws a rock over the bridge with an initial

Marina CMI [18]

<h2>Explanation:</h2><h2></h2>

Here we know that Margie is standing on a bridge looking at the river. She throws a rock over the bridge with an initial velocity of 60 ft/sec. The height, h, of the rock at the rime t seconds after it was thrown can be modeled by the equation:

$h(t) = -16t^2+60t+72$

To calculate how long will it take for the rock to reach the surface of the water, we need to set $h(t)=0$ . So:

$0 = -16t^2+60t+72 \\ \\ \\ \text{Using quadratic formula}: \\ \\ t=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\ \\ a=-16 \\ \\ b=60 \\ \\ c=72 \\ \\ \\ t=\frac{-60 \pm \sqrt{60^2-4(-16)(72)}}{2(-16)} \\ \\ t=\frac{-60 \pm \sqrt{60^2-4(-16)(72)}}{2(-16)} \\ \\ t=\frac{-60 \pm \sqrt{8208}}{-32} \\ \\ t_{1}=4.70 \\ \\ t_{2}=-0.95$

Given that time can't be negative, we just choose the positive value. Therefore, <em>it will take 4.70 seconds for the rock to reach the surface water.</em>

6 0

3 years ago