Answer:
Step-by-step explanation:
<u>Function modeling</u>
Real-life situations often require the help of mathematics to model numerically what happens when the variables involved can change. It could even be used to predict some expected outcomes from those models.
The problem states Janice receives $.40 per pound when he recycles less or equal than 99 pounds of aluminum. If x is the number of recycled pounds, then the amount of money he receives is
We also know that if he recycles more than 100 pounds of aluminum, the pay increases to $0.5 per pound. In that case, the amount of money is
This is a case where the function is defined differently depending on the conditions of the input variable x. It's called a piecewise function. The function can be written as
Note the function is not well constructed because there is a gap for x=100 where M is not defined. If we establish that for 100 pounds the payment is $0.5, then the second piece would include x=100
Answer:
98 ft
Step-by-step explanation:
14x7
=98 ft
A percentage is a way to describe a part of a whole. The missing percent on the bar model is equal to 12.5%.
<h3>What are Percentages?</h3>
A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
On the percent bar model, above the missing percentage, the fraction is given as 1/8.
Now, the given fraction 1/8 in the form of percentage can be written as,
1/8
= 1/8 × 100%
= 0.125 × 100%
= 12.5%
Hence, the missing percent on the bar model is equal to 12.5%.
Learn more about Percentages here:
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Answer:
45 120 144 that the ones to pick
Answer:
√2 + x
Step-by-step explanation:
To obtain the hypotenus, h:
Using Pythagoras rule :
h² = opposite² + Adjacent²
Opposite = √2
Adjacent= x
h² = (√2)² + x²
Take the square root of both sides
h = √2 + x
Hence, the hypotenus is √2 + x
