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erica [24]
3 years ago
11

Broccoli costs $ 1.50 per pound at a grocery store. How much money does 64 ounces of broccoli cost, before tax?

Mathematics
2 answers:
Gnesinka [82]3 years ago
4 0
6 dollars!
Divide 64/16 because 16 ounces is a pound ,and you get 4. Afterwards multiply 4 times 1.50 and you get 6
You final answer
Ber [7]3 years ago
3 0
Note that 1lb=16oz and set up multiplication/division to cancel out units that you do not need for the final answer.  (Units cancel just like numbers, this is fundamental to dimensional analysis)

64oz($1.50/16oz)=$6.00
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Tems11 [23]

Given, the equation that represents the height of an object:

y(t)=100t-16t^2

First, we will find the velocity of the object which is the first derivative of the height using the method of the limits

\frac{dy}{dt}=\lim_{h\to a}\frac{y(3+h)-y(3)}{(3+h)-(3)}

We will find the value of the function y(t) when t = 3, and when t = 3+h

\begin{gathered} y(3+h)=100(3+h)-16(3+h)^2 \\ y(3+h)=300+300h-16(9+6h+h^2) \\ y(3+h)=300+300h-144-96h-16h^2 \\ y(3+h)=156+4h-16h^2 \\ y(3)=100(3)-16(3)^2=156 \end{gathered}

Substitute y(3+h) and y(3) into the expression of the limit

\begin{gathered} \frac{dy}{dt}|_{t=3}=\lim_{h\to a}\frac{156+4h-16h^2-156}{3+h-3}=\lim_{h\to a}\frac{4h-16h^2}{h} \\  \\ \frac{dy}{dt}|_{t=3}=\lim_{h\to a}(4-16h) \end{gathered}

Where a = 0

d) compute the instantaneous velocity at t = 3

\frac{dy}{dt}|_{t=3}=100-16*2*3=4

So, the answer will be:

\begin{gathered} \frac{dy}{dt}|_{t=3}=\lim_{h\to a}(4-16h) \\ a=0 \\  \\ \frac{dy}{dt}|_{t=3}=4\text{  ft/sec} \end{gathered}

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