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3 years ago

What is 9lbs 6 oz converted to ounces

Mathematics

1 answer:

Tju [1.3M]3 years ago

5 0

Hey there~☺

$Answer:\boxed{150\text{ ounces}}$

$Explanation:$

9 Ibs(pounds) + 6 oz(ounces) ⇒ ounces

First, let's find out how many 1 pound is equal to in ounces.

$1\text{ pound}\rightarrow16\text{ ounces}$

Since 1 pound is equal to 16 ounces, multiply the 9 pounds by 16.

$9*16=144$

Now, add the remaining 6 ounces to 144 ounces, which is also 9 pounds.

$144+6=150$

The answer is 150 ounces.

Hope this helps!☺

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If A = -3 + 5i, B = 4 - 2i, and C = 1 +6i, where i is the imaginary unit, then A - BC equals

Maslowich

Answer:

3) -19 - 17i is our answer

Step-by-step explanation:

to solve A - BC we plug in the values given

A= -3 + 5i

B = 4 - 2i

C = 1 + 6i

-3 + 51i - (4 - 2i)(1 + 6i) is our expression. we can FOIL (4 - 2i)(1 + 6i) this expression out. FOIL stands for:

First

Outside

Inside

Last

i will highlight the terms i am using in the current step in bold and put the result next of those two terms next to the expression

F: (4 - 2i)(1 + 6i) = 4

O: (4 - 2i)(1 + 6i) = 24i

I: (4 - 2i)(1 + 6i) = -2i

L: (4 - 2i)(1 + 6i) = 12 < --- the reason why its 12 and not -12i or 12i is because i = √-1 and i² = -1

when we multiply -2i * 6i, we would have gotten a -12i², and i² = -1, so we are multiplying -12 by -1, which gives us 12 as the result

combining all these terms together and we have:

4 + 24i - 2i + 12

in the expression this is:

-3 + 5i - (4 + 24i - 2i + 12) < we need to distribute the negative sign into (4 + 24i - 2i + 12) and we now get:

-3 + 5i -4 - 24i + 2i - 12 < combine like terms (ex: i terms together)

-3 - 4 - 12 = -19

5i - 24i + 2i = -17i

the result of the expression is:

-19 - 17i

we cannot simplify this any further so this is our answer. the answer choice that matches this is 3, so 3) -19 - 17i is our answer

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Find the general solution to the differential equation modeling how a person learns:

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Here we want to solve differential equations, we will see that the general solution is:

$y = A*e^{-t} + 100$

We want to solve the differential equation:

$\frac{dy}{dt} = 100 - y$

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We can write it generally as:

$y = A*e^{-t} + B\\\\\frac{dy}{dt} = -A*e^{-t}$

Then if we set B = 100 we get:

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So we just found the general form of the function.

Now we have two cases:

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In this case, the function is:

$y = -65*e^{-t} + 100$

B) y(0) = 125

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In this case, the function is:

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Now we want to see which one of the two can represent how a person learns. Just look at the graph below:

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Notice that for small values of t, the blue function is really large, thus it can't really model how a person learns (is larger for smaller values of t than for larger values).

So y(0) = 35 represents better how a person can learn (but not exactly, because you can see that it eventually becomes almost constant, which is something that really does not happen) so the correct option is D: none of the above.

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