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3 years ago

47 x 10^6 x 78 x 10^-3 in scientific notation

Mathematics

1 answer:

irinina [24]3 years ago

8 0

4.2 x 10^<span>-3 is the answer</span>

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Find the solution of the given initial value problem. ty' + 6y = t2 − t + 1, y(1) = 1 6 , t > 0

gtnhenbr [62]

Answer:

Step-by-step explanation:

Given is a differential equation as

$ty' + 6y = t^2 - t + 1, y(1) = 1 6 , t > 0$

Divide this by t to get in linear form

$y'+6y/t = t-1+1/t$

This is of the form

y' +p(t) y = Q(t)

where p(t) = 1/t $e^(\int 1/tdt) = t$

So solution would be

$yt = \int t^2-t+1 dt\\= t^3/3-t^2/2+t+C$

siubstitute y(1) = 16

$16 = 16^3/3-128+1+C\\C = -1206$

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3 years ago

Suppose you pay $1.00 to roll a fair die with the understanding you will get $3.00 back rolling a 4 or a 2, and nothing otherwis

nikdorinn [45]

There are 2 chances out of 6 to win $3

Every 6 rolls you are expected to win $6

Every 3 rolls you are expected to win $3.

On average, even though it's impossible, every roll you would make $1.

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2 years ago

Determine the value of x for the following isosceles triangle.

andrew11 [14]

Given :

▪︎This triangle is an isosceles triangle.

▪︎Measure of one of its legs = 6 inches

▪︎Measure of its equivalent leg $= \tt \frac{x}{9}$ inches

▪︎Measure of its base $= \tt \frac{5}{2}$ inches

Which means :

$=\tt 6 = \frac{x}{9}$

$=\tt \frac{6}{1} = \frac{x}{9}$

$=\tt 6 \times 9 = x \times 1$

$\hookrightarrow\color{plum}\tt 54 = x$

Let us check whether or not we have found out the correct value of x by placing 54 in the place of x :

$=\tt 6 = \frac{54}{9}$

$= \tt6 = 6$

Since the Left Hand Side of the equation is equivalent to the Right Hand Side of the equation, we can conclude that we have found out the correct value of x.

▪︎Therefore, the value of <u>x = 54</u>

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2 years ago

If two points are given, then exactly one line can be drawn third of these two points. Which geometry term does the statement re

Mazyrski [523]

What does this even mean...did

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3 years ago

3995.996 to the nearest hundreth

alexdok [17]

Your answer goes to 3995.100

3 0

3 years ago

Read 2 more answers