Answer:
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Step-by-step explanation:
Answer:
Step-by-step explanation:
3x2−2x−5=0
Let us factorize using the split the middle term method.
On inspection we observe that middle term can be split in two parts whose product is equal to the product of first and third term.
Two terms are −5xand3x
The equation becomes
3x2+3x−5x−5=0, pairing the two and taking out common factors
⇒(3x2+3x)−(5x+5)=0,
don't forget to change the sign of −5 once placed inside the parenthesis.
⇒3x(x+1)−5(x+1)=0
⇒(x+1)(3x−5)=0
Either (x+1)=0 or (3x−5)=0
We obtain x=−1,53
or x=−1,123
The first thing we will do is assume that the prism is square based.
We have then that the edges of the base are:
P = 4L
P = 4 (8)
P = 32 cm
The edges of the top of the prism are:
P = 4L
P = 4 (8)
P = 32 cm
The edges of the prism height are:
P = 4h
P = 4 (11)
P = 44 cm
The total sum will be:
Pt = 32 + 32 + 44
Pt = 108 cm
Answer:
the sum of all edges is:
Pt = 108 cm
6.665 grams of the 13 grams remain after 8 hours.
<h3>How much of a 13 gram sample of iron-52 would remain after 8 hours?</h3>
The decay equation for the 13 grams of iron-52 is:

Where N is the amount of iron-52, and t is the time in years.
Where we used the fact that the half-life is exactly 8.3 hours.
Now, the amount that is left is given by N(8h), so we just need to replace the variable t by by 8 hours, so we get:

So 6.665 grams of the 13 grams remain after 8 hours.
If you want to learn more about half-life:
brainly.com/question/11152793
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I. -7/10
K. 675/1000 or 27/40
M. -26/100
O. 5 55/100 the 5 by itself is a whole number
J 84/100 or 21/25
L -252/1000
N 2 78/100
p 11 688/100