A hot air balloon can hold 90,000 cubic feet of air. It is being inflated at a rate of 6,000 cubic feet per minute. The total cubic feet of air a(t) is a function of the in minutes t. a. Identify the independent and dependent variables. b. What values of the domain and range make sense for this situation? Explain. c. Write a function to represent the total amount of air. Then determine the total amount of air in 6 minutes.
Answers
Answer 1
Answer:
a. The independent variable is the variable whose variation does not depend on that of another, it is often denoted by x. In our case independent variable is time in minutes The dependent variable is the volume of air in the balloon.
b] The domain of the of this situation is: [0≤t≤15] this is because t will take 15 minutes for the balloon to get filled.
The range of the situation will be: [0≤a(t)≤90000]
c]The function that represents this situation is a linear function given by: y=ax+b where: a=rate/slope b= initial amount of air in the balloon=0 Thus our function will be: a(t)=6000t
d] The total amount of air in the balloon after 6 minutes will be given by: from a(t)=6000t a(6)=6000(6) a(6)=36000 cubic feet
I don't just want the answer, I would like to know how to get the answer.
Answers
Hey!
What this question wants you to do is use PEDMAS, that is the order of operations, to get the answer. P - Parentheses E - Exponents D - Division M - Multipliation A - Addition S - Subtraction
So using PEDMAS, solve this problem by doing the operations first that come first, so you might want to start by solving 16 divided 2. (Division comes before multipliciation)
first 16/2= 8
46-8x4
now multiply 8 and 4
46-32 now subtract
14 is your answer
13 over 15 divided by 7 over 10 in simplest form
Answers
If you would like to write (13/15) / (7/10) in the simplest form, you can calculate this using the following steps:
a certain car can travel 350 miles on a tank of gas which is 18 gallons of gas the vacation they have planned with cover 1785 miles how many gallons of gas will that take
Answers
x=91.8 I think is the answer to your question.
Let h = 3.
What is the value of (27 ÷ h) · 5?
Answers
27 ÷ 3 = 9 9 • 5 = 45
the answer would be 45 because 27/3=9 and 9*5=45
to get into her tree house, annabeth rests a ladder against the tree. the top of the ladder is 13 feet above the ground. the base of the ladder is 3 from the tree. what is the slope of the ladder
Answers
slope = rise/run the ladder "rises" to 13 feet above the ground the ladder "runs" 3 feet from the base of the ladder to the tree so: slope = rise/run = 13/3
13-0 3-0 = 13/3 = 4 1/3 Rise over run you know, y1-y2 over x1-x2
What is the slope of the line that is perpendicular to the line whose equation is 2x + y = 4.-2 -1/2 1/2 2