SPF 360

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(C)Copyright 2018, C. Burke.

The design flaw is the bottoms of your feet. You don't want to get burned down to your soles.

Yes, I feel like a heel for telling that joke.




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SPF 60?

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(C)Copyright 2018, C. Burke.

If I had to hypothesize, I'd go with 30*ln(x), where x is the number of coats.

Or just wear coats for the Sun can't get to you. But you might pass out from the heat that way.




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Dec Savage: The Quest of the 8-Sider

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(C)Copyright 2018, C. Burke.

Even as I type "8-sider", I'm thinking "octahedron" not "octagon".

I haven't read Quest for the Spider yet, and I didn't know that it was so early in the series because it wasn't reprinted as a Bantam paperback until #68.




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Summer Limits

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(C)Copyright 2018, C. Burke.

The limit is on the allowed amount of fun.

The bigger joke is that people think Mike is a stand-in for me, but Mike has never raised his voice to express himself.

Once again, this comic is semi-autobiographical. I can invoke Murphy's here because I've been saying that due to all the rain this summer, I haven't had to top off the pool (or water the garden as much), so the water bill should go down. And now there's a week of Sun ahead of us, and I'm topping off the pool. With cold water. That likely won't warm up too quickly.




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Blnx

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(C)Copyright 2018, C. Burke.

Don't try to steal it! It's already taken!

So this happened:

A Twitter colleague, Taylor Grant, @teachbarefoot, announced his new blog

Captain’s ln(x): A Fresh Start
https://teachbarefoot.wordpress.com/2018/08/21/captains-lnx-a-fresh-start/

To which I replied, Now that is a great name for a bln(x)!

Taylor liked my pun better, and re-christened his bln(x) to include the "b".

Obviously, I'm not stealing his idea because a) I suggested the "b", and b) I skipped the parentheses to save space.

Enjoy his blog. My blog will remain the usual comics, test questions and answers, and the occasional mathematical insights, which are hopefully my own and not someone else's restated in (mostly) my own words.




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Algebra 2 Problems of the Day

Daily Algebra 2 questions and answers.

More Algebra 2 problems.

June 2017, Part I

All Questions in Part I are worth 2 credits. No work need be shown. No partial credit.


13. A student studying public policy created a model for the population of Detroit, where the population decreased 25% over a decade. He used the model P = 714(0.75)^d, where P is the population, in thousands, d decades after 2010. Another student, Suzanne, wants to use a model that would predict the population after y years. Suzanne’s model is best represented by
Which explanation is appropriate for Miles and his dad to make?
1) P = 714(0.6500)^y
2) P = 714(0.8500)^y
3) P = 714(0.9716)^y
4) P = 714(0.9750)^y

Answer: 3) P = 714(0.9716)^y
There are 10 years to 1 decade, so d = 10y
So P = 714(0.75)^d = 714(0.75)^10y = 714(0.75¹⁰)^y
And P = 714(0.9716)^y

14. The probability that Gary and Jane have a child with blue eyes is 0.25, and the probability that they have a child with blond hair is 0.5. The probability that they have a child with both blue eyes and blond hair is 0.125. Given this information, the events blue eyes and blond hair are

I: dependent
II: independent
III: mutually exclusive
1) I, only
2) II, only
3) I and III
4) II and III

Answer: (2) II, only
They are independent because P(A and B) = P(A) * P(B). That is 0.125 = 0.5 * 0.25.
This eliminates choices 1 and 3.
The events are not mutually exclusive, because P(A or B) = P(A) + P(B) - P(A and B) = 0.25 + 0.5 - 0.125 = 0.625, but 0.625 =/= 0.5 + 0.25.

15. Based on climate data that have been collected in Bar Harbor, Maine, the average monthly temperature, in degrees F, can be modeled by the equation B(x) = 23.914sin(0.508x - 2.116) + 55.300. The same governmental agency collected average monthly temperature data for Phoenix, Arizona, and found the temperatures could be modeled by the equation P(x) = 20.238sin(0.525x - 2.148) + 86.729.
Which statement can not be concluded based on the average monthly temperature models x months after starting data collection?
1) The average monthly temperature variation is more in Bar Harbor than in Phoenix.
2) The midline average monthly temperature for Bar Harbor is lower than the midline temperature for Phoenix.
3) The maximum average monthly temperature for Bar Harbor is 79° F, to the nearest degree.
4) The minimum average monthly temperature for Phoenix is 20° F, to the nearest degree.

Answer: 4) The minimum average monthly temperature for Phoenix is 20° F, to the nearest degree.
If you graph both of these functions you will find the following information:
For Bar Harbor: the minimum value is 31.39, the midline 55.3, the maximum is 79.21 and the range is 47.83.
For Phoenix, min is 66.49, mid is 86.73, max is 106.97 and range is 40.48.
Choices 1, 2, and 3 can be seen in the data. Choice 4 is incorrect, the minimum average monthly temperature for Phoenix is approximately 66° F, to the nearest degree.



Comments and questions welcome.

More Algebra 2 problems.

Palindrome Week

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(C)Copyright 2018, C. Burke.

Dammit, I'm mad.

I guess that was, you know, "palindrome weak".




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Dec Savage: The Plane of Terror

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(C)Copyright 2018, C. Burke.

Are the odds stacked against Dec?

I'm still decided on the format. I'll probably use the pulp order (or publication order) but parody the Bantam covers.

I fiddled with the logo, and I made the image taller so I could include a "cover blurb", which makes up for the lack of dialogue. Also, the blurb means people who see the image away from the blog or the comic page will see that text and not miss the joke. Without context, it's just an odd image.




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Pleased as Punch

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(C)Copyright 2018, C. Burke.

Historically, the expression is *pleased as Punch & Judy*.

And Ken is the puppet master.

I had more exposition, but it was just a recap of last week's comic and blog notes. Who needs that, right? what we really need is a wacky Wikipedia link!




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(x, why?) School Life #6: The Next Level

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(C)Copyright 2018, C. Burke.

When you beat bosses together, it's getting serious.

My intent had been to have more updates this week, but this one took a lot longer than anticipated, even in black and white.




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(x, why?) School Life #5: At The Beach

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(C)Copyright 2018, C. Burke.

Well, someone's got to get these two together, right?

Debated whether or not to do "School Life" in the summer, and then whether or not this strip would fall into that category. (For one thing, it's in color, not black and white.) That's what I get for starting so many sub-series within the main series. Why am I even numbering these things?

How should things work out for Vanessa and Sven? Or Missy and Vaughn? Or the green-haired kid whom I don't think I created a name for...




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Dec Savage: The Shape of Bronze

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(C)Copyright 2018, C. Burke.

''Doc? Are we going to Widow's Peak?'' ''No!''

Something old becomes something new. I had a bit of debate with myself about how to do this. Just the covers? Do I need dialogue? If so, where to add it? Maybe underneath, or just the "alt" text. I don't know.

If it's just the covers, with no dialogue, then I spent too much time -- including a Twitter poll -- deciding on the supporting characters. We'll see as time moves on.

Also, if anyone knows how to *easily* remove the shadows from WordArt, or knows a similar program to produce the titles, that would be great.

By the way, the alternate title was going to be Dec Visage, to remove it further from the original, but I thought that that might be too far. "Visage", of course, is a word refering to a face, which 3-D objects, like prisms and pyramids, have.




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Logical Progression

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(C)Copyright 2018, C. Burke.

ObMath: The mean age of the guys should equal the mean age of the girls. And other mean stuff going on.

The dialogue for this comic was originally wordier, trying to get it where it needed to go (and even included, sort of, a reference to the above fact, giving their relative ages). Judy and Chuck have been together almost as long as Ken and Michele (possibly longer, but I'm only going by first mentions).

Stranger fact: even though Chuck has been mentioned a few times, I don't think he's appeared since comic #321 on the Fourth of July in 2009. NINE YEARS! He was supposed to be shown at the wedding, but I simplified that strip as much as I could, so none of the +1's were shown.




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(x, why?) Mini: Viscous

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(C)Copyright 2018, C. Burke.

Stand back. You don't to get into the thick of it!




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(x, why?) Mini: Changin' Sines

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(C)Copyright 2018, C. Burke.

Don't stand in the amplitude. Don't block the wave.

Yeah, that's about all I had. That's why this became a "mini". For what it's worth, this looks like the 100th Mini I've done.
I say "looks like" because my count has been off once before due to mislabeling a file. But this is the 100th entry that has the Mini tag.




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The Casebook of Sherlock Pi: The Adventures of the Cardboard Box

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(C)Copyright 2018, C. Burke.

Doctor Woo Hoo and his Companion. Or Doctor Cutey and her Companion.




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Angles in the Night

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(C)Copyright 2018, C. Burke.

They were complementary, and it turned out so right.




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