Answer:
Fifth-grade detective Mickey Rangel feels like a stuck pig at a barbecue when Mrs. Abrego calls him down to her office; what could he be on the hot seat for? When Mrs. A starts talking about the rash of graffiti that has recently tarnished the school, Mickey frantically rushes to protest his innocence. Mrs. A talks him down; she knows he didn’t do it, but maybe he can figure out who did. Mickey dubs this miscreant the Mischievous Marker and finds a major clue in the latest graffiti message: “Our Principle’s no ‘pal’ of nobodies!” Top-notch speller Mickey notices the problems right away. At lunch that day, when Mickey sees his lifelong archnemesis, Bucho, giving Mickey’s twin brother, Ricky, a hard time, he imagines how sweet it would be if he could prove that the troublemaker Bucho was the Magic Marker Mischief Maker. And if not him, then who? Mickey will need to question more persons of interest and nail down the timeline to crack the case. The brief, fast-moving mystery appears first in English, then Spanish, in Villarroel’s translation. Saldaña's prose is peppy, and his mystery, while quickly solved, hammers home a solid grammar lesson as a bonus.
Though he’s no teacher’s pet, Mickey’s smarts make him a welcome protagonist.
Step-by-step explanation:
<em>Here</em> as the <em>Pentagon</em> is <em>regular</em> so it's <em>all sides</em> will be of <em>equal length</em> . And if we assume It's each side be<em> </em><em><u>s</u></em> , then it's perimeter is going to be <em>(s+s+s+s+s) = </em><em><u>5s</u></em>.And as here , each <em>side</em> is increased by <em>8 inches</em> and then it's perimeter is <em>65 inches</em> , so we got that it's side after increament is<em> (s+8) inches</em> and original length is <em>s inches </em>. And if it's each side is <em>(s+8) inches</em> , so it's perimeter will be <em>5(s+8)</em> and as it's equal to <em>65 inches</em> . So , <em><u>5(s+8) = 65</u></em>
As we assumed the original side to be <em><u>s</u></em> .
<em>Hence, the original side's length 5 inches </em>
The key is to find the first term a(1) and the difference d.
in an arithmetic sequence, the nth term is the first term +(n-1)d
the firs three terms: a(1), a(1)+d, a(1)+2d
the next three terms: a(1)+3d, a(1)+4d, a(1)+5d,
a(1) + a(1)+d +a(1)+2d=108
a(1)+3d + a(1)+4d + a(1)+5d=183
subtract the first equation from the second equation: 9d=75, d=75/9=25/3
Plug d=25/3 in the first equation to find a(1): a(1)=83/3
the 11th term is: a(1)+(25/3)(11-1)=83/3 +250/3=111
Please double check my calculation. <span />
Answer:
Step-by-step explanation:
we are given a quadratic function
we want to figure out the minimum value of the function
to do so we need to figure out the minimum value of x in the case we can consider the following formula:
the given function is in the standard form i.e
so we acquire:
thus substitute:
simplify multiplication:
simply division:
plug in the value of minimum x to the given function:
simplify square:
simplify multiplication:
simplify:
hence,
the minimum value of the function is -155
