A.
It is going up as you go right so it is positive and they are pretty much clumped up in a line.
Answer:
33+12t−21t^2
Step-by-step explanation:
(2t-7)²-(5t-4)²
Use binomial theorem (a−b)^2 = a^2−2ab+b^2 to expand (2t-7)².
4t^2−28t+49−(5t-4)²
Use binomial theorem (a−b)^2 = a^2−2ab+b^2 to expand (5t-4)².
4t^2−28t+49−(25t^2−40t+16)
To find the opposite of 25t^2
−40t+16, find the opposite of each term.
4t^2−28t+49−25t^2−40t+16
Combine 4t^2 and −25t^2 to get −21t^2.
−21t^2−28t+49+40t−16
Combine −28t and 40t to get 12t.
−21t^2+12t+49−16
Subtract 16 from 49 to get 33.
−21t^2+12t+33
Swap terms to the left side.
33+12t−21t^2
I hope this helped!
Answer:
12.52 in.
Step-by-step explanation:
Area of square(A)=157in^2
length of square (l)=?
we know,
A=l^2
or,sqrt 157=l
12.52 in=l
Answer:
Approximately 3 grams left.
Step-by-step explanation:
We will utilize the standard form of an exponential function, given by:
In the case of half-life, our rate <em>r</em> will be 1/2. This is because 1/2 or 50% will be left after <em>t </em>half-lives.
Our initial amount <em>a </em>is 185 grams.
So, by substitution, we have:
Where <em>f(t)</em> denotes the amount of grams left after <em>t</em> half-lives.
We want to find the amount left after 6 half-lives. Therefore, <em>t </em>= 6. Then using our function, we acquire:
Evaluate:
So, after six half-lives, there will be approximately 3 grams left.
Alright, so the first step we are gonna do to solve this problem is subtract since Mason ate 5 ounces of the peanuts and so, we need to subtract 5 out of 29.8.
29.8 - 5 = 24.8
So, now there is 24.8 ounces.
Now we move onto the next step which is division. As you can see in the question it says "Then he divides the rest of the peanuts equally among 4 friends."
24. 8 ÷ 4 = 6.2
Since the answer is supposed to be a decimal..that's your answer!
So overall, each of Mason's friends get 6.2 ounces of peanuts.
Hope this helps!
If you are needing any more help, comment below this comment for any contact of mine. I'll be glad to help!
- Kana
