Answer:
1.932 days (or approximatelly 1 day, 22 hours and 22 minutes)
Step-by-step explanation:
The inicial concentration is 60,000, and this concentration triples every 4 days, so we can write the equation:
P = Po * r^t
where P is the final concentration after t periods of 4 days, Po is the inicial concentration and r is the ratio that the concentration increases (r = 3)
Then, we have that:
102000 = 60000 * 3^t
3^t = 102/60 = 1.7
log(3^t) = log(1.7)
t*log(3) = log(1.7)
t = log(1.7)/log(3) = 0.483
so the number of days that will take is 4*0.483 = 1.932 days (or approximatelly 1 day, 22 hours and 22 minutes)
Answer: no, you add the exponents.
Step-by-step explanation:
You solve this problem via PEMDAS (Parentheses Exponents Multiplication Division Addition Subtraction.)
To start you simplify everything inside parentheses.
9+3*5+5^2
Then you simplify the exponents.
9+3*5+25
Next, you simplify the multiplication signs.
9+15+25
Then you simplify all the addition signs from left to right.
24+25
49
Divide 4.55 by 0.13 (the cost of each bolt) to find out how many bolts Heidi can buy!
$4.55 ÷ $0.13 = 35
Heidi can buy 35 bolts with $4.55 !1
The two triangles are similar. The proportion of the two sides therefore are the same. So 6:5 is the same as 20:6+x. You can calculate the 6+x side based on this and the last step is to simply subtract 6 from the side.