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2 years ago

15

Barry has an ice tray that makes ice cubes shaped like a cone with a diameter of 2 cm and height of 2 cm. To the nearest cubic c

entimeter, what is the volume of an ice cube from Barry's tray?

1 answer:

Lynna [10]2 years ago

8 0

8 because 2^3 or 2 x 2 x 2 = 8

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Find a formula for the described function. An open rectangular box with volume 3 m3 has a square base. Express the surface area

Alex73 [517]

Answer:

$SA(x) = x^2 + \frac{12}{x}$

Step-by-step explanation:

Given

$V = 3m^3$ --- volume

$x \to base\ length$

$y \to height$

Required

The surface area as a function of base length

The volume (V) is calculated as:

$V = Base\ Area * Height$

$V = x*x*y$

$V = x^2*y$

Make y the subject

$y = \frac{V}{x^2}$

Substitute 3 for V

$y = \frac{3}{x^2}$

The surface area of the open box is:

$SA = x^2 + 2xy+2xy$

$SA = x^2 + 4xy$

Substitute: $y = \frac{3}{x^2}$

$SA = x^2 + 4x*\frac{3}{x^2}$

$SA = x^2 + 4*\frac{3}{x}$

$SA = x^2 + \frac{12}{x}$

Hence, the function is:

$SA(x) = x^2 + \frac{12}{x}$

4 0

2 years ago

How far does the tip of the minute hand of a clock move in 1 hour and 27 minutes if the hand is 2 inches long?

Nesterboy [21]

So, a full circle has 360°, thus when the minute hand does one hour, it does a full circle, therefore 360°.

now, how many degrees are there in 1 minute? well, there are 60 minutes in 360°, therefore there are 360/60 degrees in 1 minute, or 6°.

now, we know in 1 hour there are 360°, how many in 27 minutes? well, 27 * 6, or 162°. So after 1hr and 27min, the minute hand has done 360+162 or 522°.

we also know the minute hand is 2 inches long, thus

$\bf \textit{arc's length}\\\\
s=\cfrac{\pi \theta r}{180}\quad 
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad degrees\\
------\\
r=2\\
\theta =522
\end{cases}\implies s=\cfrac{\pi \cdot 522\cdot 2}{180}$

which is roughly 18 inches rounded up.

5 0

2 years ago

What is the measure of the angle

lutik1710 [3]

The angle would be 70 degrees because 180-110=70

6 0

2 years ago

Read 2 more answers

What is the difference between advanced calculus and real analysis?

eduard

<span>The content of any course depends on where you take it--- even two courses with the title "real analysis" at different schools can cover different material (or the same material, but at different levels of depth).

But yeah, generally speaking, "real analysis" and "advanced calculus" are synonyms. Schools never offer courses with *both* names, and whichever one they do offer, it is probably a class that covers the subject matter of calculus, but in a way that emphasizes the logical structure of the material (in particular, precise definitions and proofs) over just doing calculation.

My impression is that "advanced calculus" is an "older" name for this topic, and that "real analysis" is a somewhat "newer" name for the same topic. At least, most textbooks currently written in this area seem to have titles with "real analysis" in them, and titles including the phrase "advanced calculus" are less common. (There are a number of popular books with "advanced calculus" in the title, but all of the ones I've seen or used are reprints/updates of books originally written decades ago.)

There have been similar shifts in other course names. What is mostly called "complex analysis" now in course titles and textbooks, used to be called "function theory" (sometimes "analytic function theory" or "complex function theory"), or "complex variables". You still see some courses and textbooks with "variables" in the title, but like "advanced calculus", it seems to be on the way out, and not on the way in. The trend seems to be toward "complex analysis." hope it helps

</span>

8 0

3 years ago

Graph the function and answer each of the following questions, f(x) = -3x + 5

olga2289 [7]

A. 5
B. -3/1
C. Negative
D. You have to go down 3 over to the right one from where your y-intercept is.

To plot the y intercept plot (0,5)
To plot the next point go down 3 over 1 to the right from the y-ing

3 0

2 years ago