Answer:
i think its 12.12 kids got moved
Step-by-step explanation:
i just subtracted 33 - 21 = 12...
Answer:
$6
Step-by-step explanation:
This is for one pencil to each student. Since each box is $3, and she has 25 students, you would figure out how many students are left out with one box, and since you only have one left, you only need one more box. That would mean two boxes, so $3x2= $6
Part (i)
I'll use H in place of T to represent the heat of the object. That way there isn't a clash of variables lowercase t vs uppercase T.
The equation we're working with is updated to:
H(t) = 22 + a*2^(bt)
Plugging in t = 0 as the initial time value should lead to the temperature being H = 86 degrees Celsius.
So,
H(t) = 22 + a*2^(bt)
86 = 22 + a*2^(b*0)
86 = 22 + a*2^0
86 = 22 + a*1
86 = 22 + a
a+22 = 86
a = 86-22
a = 64
<h3>Answer: 64</h3>
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Part (ii)
We'll use the value of 'a' we found earlier. Plus we'll use the fact that H = 28 when t = 0.5 (since 30 min = 30/60 = 0.5 hr).
H(t) = 22 + a*2^(bt)
28 = 22 + 64*2^(b*0.5)
28-22 = 64*2^(0.5b)
64*2^(0.5b) = 6
2^6*2^(0.5b) = 6
2^(6+0.5b) = 6
log( 2^(6+0.5b) ) = log(6)
(6+0.5b)*log(2) = log(6)
6+0.5b = log(6)/log(2)
6+0.5b = 2.5849625
0.5b = 2.5849625-6
0.5b = -3.4150375
b = -3.4150375/(0.5)
b = -6.830075
<h3>Answer: Approximately -6.830075</h3>
Answer:
Step-by-step explanation:
10x²+x-2=1/2(5x-2)h
10x²+5x-4x-2=1/2(5x-2)h
5x(2x+1)-2(2x+1)=1/2(5x-2)h
2(2x+1)(5x-2)=(5x-2)h
h=[2(2x+1)(5x-2)]/(5x-2)
h=2(2x+1),5x-2≠0,x≠2/5
