Answer:44°
Step-by-step explanation:
Solution is in the attachment
You are at UPS trying to send a package. Which is a better deal? $11 to deliver a 2 lb package OR $14.75 to deliver a 3 lb packa
2 answers:
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Answer:
Step-by-step explanation:
In the exponential growth/decay function
, in our situation,
y is the number of ants remaining in the colony after the growth or decay,
a is the initial number of ants in the colony, and
b is the growth/decay rate. Rule: if b is greater than 1, the function is growth; if b is greater than 0 but less than 1, the function is decay.
Our equation looks like this (it's given):
a = 50, which is the initial number of ants in the colony.
b = .8 (which actually means that then number of ants is declining by 20% each week). Since .8 is a fraction of 1, this is decay.
So far, we know that 1 and 4 are true. Let's look at 5. We have to do some solving to find out if it's true or not. If the number of ants after x = 2 weeks is 32, then we plug in 2 for x and see if the y we get as the answer is 32:
and
y = 50(.64) so
y = 32
5 is true as well. Let's test 6 by replacing x with 8 and seeing if y = 10:
and
y = 50(.16777216) so
y = 8.388
6 is not true.
1, 4, 5 are true
The length of the connected section of the pipe is 20 meters
To solve this question, we are going to do addition of fractions. But we must first convert the fractions from mixed fraction to an improper fraction.
<h3>Conversion of Fraction</h3>The given length are
- 6 2/3
- 6 (2/3)
- 6 (2/3)
Convert these mixed fractions into improper fractions
Now let's add up 20/3 in 3 places since they are of equal length.
From the calculation above, the length of the connected section of the pipe is 20 meters.
Learn more on fractions here;