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3 years ago

Express 76.874 inches in miles

Mathematics

2 answers:

Lorico [155]3 years ago

8 0

The answer is 0.001213 mi

tankabanditka [31]3 years ago

8 0

Answer:

0.00121328914

Step-by-step explanation:

the formula is to divide the lenght by 63360

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Silvie states that the sum of a rational number and an irrational number is sometimes rational and sometimes irrational. Which s

RideAnS [48]

Answer:

A) Silvie is incorrect; the sum of a rational number and an irrational number is always irrational

Step-by-step explanation:

The concept of adding rational and irrational numbers states that the result will always be irrational.

Take for instance the addition of 4.5 and 3.142857

4.5 is a rational number because it can easily be expressed in fractions while 3.142857 is irrational because it can't be expressed as a simple fraction.

The addition of these two numbers gives 7.642857

7.642857 is an irrational number.

Similarly, any sum of two numbers (rational and irrational) will always result in irrational number.

Hence, Silvie is incorrect.

4 0

2 years ago

Find the solution of the given initial value problem. ty' + 2y = sin t, y π 2 = 9, t > 0 y(t) =

Helen [10]

For the ODE

$ty'+2y=\sin t$

multiply both sides by t so that the left side can be condensed into the derivative of a product:

$t^2y'+2ty=t\sin t$

$\implies(t^2y)'=t\sin t$

Integrate both sides with respect to t :

$t^2y=\displaystyle\int t\sin t\,\mathrm dt=\sin t-t\cos t+C$

Divide both sides by $t^2$ to solve for y :

$y(t)=\dfrac{\sin t}{t^2}-\dfrac{\cos t}t+\dfrac C{t^2}$

Now use the initial condition to solve for C :

$y\left(\dfrac\pi2\right)=9\implies9=\dfrac{\sin\frac\pi2}{\frac{\pi^2}4}-\dfrac{\cos\frac\pi2}{\frac\pi2}+\dfrac C{\frac{\pi^2}4}$

$\implies9=\dfrac4{\pi^2}(1+C)$

$\implies C=\dfrac{9\pi^2}4-1$

So the particular solution to the IVP is

$y(t)=\dfrac{\sin t}{t^2}-\dfrac{\cos t}t+\dfrac{\frac{9\pi^2}4-1}{t^2}$

$y(t)=\dfrac{4\sin t-4t\cos t+9\pi^2-4}{4t^2}$

6 0

2 years ago

A bag contains 3 red marbles, 6 blue marbles and 2 green marbles. If two marbles are drawn out of the bag, what is the probabili

Pie

Answer: 18%

Step-by-step explanation:

add all of the marbles together, there are 11 total marbles. divide the total marbles with how many green marbles there are in the bag, 2/11, Which will give you 0.1818182. reduce that to the nearest tenth... 0.18. So there is an 18% chance that both marbles drawn will be green.

5 0

3 years ago

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It takes 10 pounds of potatoes to make 15 pounds of mashed potatoes At this rate, how many pounds of mashed potatoes can the mak

pashok25 [27]

Answer:

22.5 pounds of mashed potatoes

Step-by-step explanation:

I start by dividing 15 by 10 to see how many pounds of mashed potatoes come from a single potato and get 1.5. I then multiply 1.5 times 15 (our number of potatoes) which gives me the answer of 22.5.

6 0

3 years ago

How many two-third pound burgers can we make with 18 pounds of hamburger meat?

svetlana [45]

Answer:

27 burgers

Step-by-step explanation:

Take 18 divided by .66, which is the decimal equivalent of 2/3 and round down to the nearest whole number because you cannot make a fraction of a burger.

7 0

3 years ago

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