Item 6
Question 1
You notice a hot air balloon descending. The elevation h (in feet) of the balloon is modeled by the function h(x)=-11x+330, where x is the time (in seconds) since you first noticed the hot air balloon.
Graph the function and specify its domain and range. Then interpret the slope and intercepts of the graph.
Answers
Answer:
Domain
[tex]x\in [0\,s,30\,s][/tex]
Range
[tex]h \in [0\,ft,330\,ft][/tex]
The h-Intercept represents the initial height of the balloon. The balloon has an initial height of 330 feet.
The x-Intercept represents the time when the balloon reaches the ground. The balloon takes 30 seconds to descend and reach the ground.
The slope represents the ratio of the change in the elevation of the balloon to the change in time. A slope of -11 means that balloon descends 11 feet per second.
Step-by-step explanation:
Both the time (domain), measured in seconds, and the height (range), measured in feet, are positive variables. The hot air balloon start at a height above and descends to the ground. Which means that domain and range of the function are, respectively:
Now we find the upper bound of the height of the hot air balloon. If we know that [tex]t = 0\,s[/tex], then the upper bound is:
[tex]h(0) = -11\cdot (0)+330[/tex]
[tex]h(0) = 330\,ft[/tex]
Range
[tex]h \in [0\,ft,330\,ft][/tex]
Now we find the upper bound of time. If we know that [tex]h = 0\,ft[/tex]. then the upper bound is:
[tex]-11\cdot x +330 = 0[/tex]
[tex]11\cdot x = 330[/tex]
[tex]x = 30\,s[/tex]
Domain
[tex]x\in [0\,s,30\,s][/tex]
The h-Intercept represents the initial height of the balloon. The balloon has an initial height of 330 feet.
The x-Intercept represents the time when the balloon reaches the ground. The balloon takes 30 seconds to descend and reach the ground.
The slope represents the ratio of the change in the elevation of the balloon to the change in time. A slope of -11 means that balloon descends 11 feet per second.
Related Questions
Find the value of 3^-3x10^-3
Answers
Answer:
1/27000
Step-by-step explanation:
Use your calculator
Explanation:
If 3^-1 = 1/3
Then 3^-3 = 1/3^3 = 1/27
And 10^-3 = 1/10^3 = 1/1000
3^-3 x 10^-3
= 1/27 x 1/1000
= 1/27000
6a-2a=2a(3-1) - what property is this
Answers
Answer:
Distributive and associative.
Step-by-step explanation:
The equation involves distributing, and rearranging the order, so the properties are distributive and associative.
Hope this helps, and have a great day!! C:
could someone help? picture Is included. "Even More Situations, Diagrams, and Equations"
Answers
Answer:
story 1- B and story 2-Ax and y is the amount of flyers she gave to each volunteer. 3x+12=90 3y+36=90x= 26 y=183x+12=90
3x+12-12=90-12
3x=78
3x/3=78/3
x=26
3y+36=90
3y+36-36=90-36
3y=54
3y/3=54/3
y=18
I hope this is good enough:
A map has a scale of 2 inches : 25 miles. Gabriel uses the map to find the
distance from the zoo to his house. The distance on the map is 5 inches. If
Gabriel bikes at a rate of 12.5 miles per hour, how long will it take him to get to
the zoo?
Answers
2 hours. It's extremely simple this is elementary grade, he needs to travel 25 miles and he's going 12.5 miles an hour, 12.5 x 2 = 25 So in 2 hours he reaches his destination.
The time it will take will be 5 hours.
What is ratio?"The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity. Ratios can be classified into two types. One is part to part ratio and the other is part to whole ratio. The part-to-part ratio denotes how two distinct entities or groups are related. For example, the ratio of boys to girls in a class is 12: 15, whereas, the part-to-whole ratio denotes the relationship between a specific group to a whole. For example, out of every 10 people, 5 of them like to read books. Therefore, the part to the whole ratio is 5: 10, which means every 5 people from 10 people like to read books."
The speed of the bike = 12.5 miles/hour
So, the distance will be = [tex]25/2 * 5 = 125/2[/tex]
Time taken = [tex]125/2 * 1/12.5[/tex]
= 5 hours
Hence, the time taken to get to the zoo = 5 hours
To know more about ratio here
https://brainly.com/question/13419413
#SPJ3
Pls do this 10 points will mark brainliest pls I need help this is multiplying positive and negative integers
Answers
Explanation
All you have to do is multiply a crossed and if there is only one negative then it will be a negative and if there are two negative than it will be a positive after you get the imporoper fraction divided the top and bottom and you will get 2 remandier 11 then you just put it like this -2 11/35
How long will it take a car to go 100 miles
traveling at a speed of 25 miles per hour
Answers
PLZZZZZ HELP ME WHOEVER ANSWERS FIRST CORRECTLY I WILL MAKE BRAINLIESTTTT
Answers
Answer:
1) 16
2) 35
3) 60 degrees
4) 72 degrees
5) (x+7)= 55 y= 70
Step-by-step explanation:
1) Special Triangle - All angles are 60 degrees, so that means all sides are the same length
2) You know that those two angles at the end are the same, so that means each of those side lengths are mirrored.
3) Special Triangle - Each side is the same, so all angles would be 60 degrees
4) You know that those two sides are the same, so their angles would be mirrored
5) You know that those two sides are the same, so their angles would be mirrored, to get 55 on both bottom sides. 55+55= 110 so, you'd need 70 degrees left to make it a triangle as all triangles are fully 180 degrees.
MY
LAST
QUESTION (NEED HELP ASAP) PLEASE!!!!
Answers
Answer:
The answer is A
Step-by-step explanation:
Of the students in Jill's grade, 41 students have a pet and the other 7 students do not. What is the ratio of the number of students who do not have a pet to the total number of students?
Answers
Answer:
The answer is 7 : 48.
Step-by-step explanation:
First, you can to calculate how many students are there in Jill's grade by adding the number of students who have pet with the students without pets :
total = 41 + 7 = 48
Next, you have to find the ratio of students without pets to total students :
7 : 48
Answer:
SoluTion :-Total student = Student who have pet + Student who don't have pet
Total Student = 41 + 7
Total Student = 48
Ratio
[tex] \tt \:7 \ratio \: 48[/tex]
3) Game stop is having a Black Friday sale. Every item in the store is
advertised as 2/5 off the original price. Cristiano decides to use a coupon
that will take an additional 1/10 off the sale price. If a game is originally
$65. how much does Cristiano pay for the game?
Answers
Answer:
$32.50
Step-by-step explanation:
2/5 = 40%
1/10 = 10%
65/2 = 32.5
Help I’m giving all my points for this question and brain will be given
Answers
Answer:
55,000
Step-by-step explanation:
Look at 40 on the x-axis and the y-axis. The line is inbetween 50 and 60 so the best answer would be 55,000
5х2 +х — 4
Factor completely
Answers
Answer:
(5x-4)(x+1)
Step-by-step explanation:
66.4 mg = blank g
Plz helpppppp !!!!!
Answers
Answer:
0.0664
Step-by-step explanation:
divide the mass value by 1000
It’s not A 0.17 !!!!!
Answers
Answer:
0.25
Step-by-step explanation:
Two rectangles with perimeters that are proportional if the area is proportional
Answers
Answer: I'm so sorry, but I'm not sure what you are asking.
I just read your comment, thank you for clarifying, I just was expecting a question, so I didn't really get it. Yeah you are right.
Answer:
Yep
Step-by-step explanation:
Just do that and this then u got it u got to figure out life lol
Solve the system:
x + 6y = 17
X - 3y = 8
Answers
Answer: y=1, x=11
Step-by-step explanation: make x in one side in an equation and substitute it in the other and get the value of y then substitute y in one of the equations and get the value of x
x= 8+3y
8+3y+6y=17
9y=9
y=1
X=11
*20 POINTS*
A coffee table is shaped like a square and has an area of 22 square feet. Find the length of the side of the table to the nearest tenth of a foot.
Answers
Answer:
4.69 feet
Step-by-step explanation:
If the table is a square, all the sides are equal and the area is the length of one side squared. A=l^2
The length must then be the square root of the area. The square root of 22 square feet is 4.6904 feet. Rounded to the nearest tenth, that is 4.69 feet.
Please help! i’ve been stuck on this for over 10 minutes.
Answers
(-2,0) and (3,4)
Slope: (y2-y1)/(x2-x1)
(4-0)/(3+2)
Slope is 4/5
what type of angles are these TWO angles?
answer choices:
adjacent angles
. linear pair
. vertical angles
.complementary angles
Answers
Answer:
linear pair.
Step-by-step explanation:
i know this because the angles are slightly. tilted unlike complementary and vertical angles.
hope this helps.
combine like terms: 80 + 50m + 65 + 40m
Answers
Answer:
90m+145
Step-by-step explanation:
80 + 50m + 65 + 40m
90m+145
Add or subtract Write in simplest form.
-11/15 - 1/15
Answers
Answer:
- 4/5
Step-by-step explanation:
Step 1:
- 11/15 - 1/15 Equation
Step 2:
- 12/15 Add the negative numbers
Step 3:
- 4/5 Convert
Answer:
- 4/5
Subtracting from a negative number is the same thing as adding them together.
Hope This Helps :)
Brainliest DONT ANSWER IF YOU NDONT KNOW IT
Answers
Answer:
B
Step-by-step explanation:
THATSS ALL I NOW IT SOO GOOD
In George’s classroom, there are 6 girls for every 2 boys. What is the ratio of boys to the total number of students?
Answers
Answer:
6;2
Step-by-step explanation:
Answer:
1:3
Step-by-step explanation:
What is the domain of the following function
Answers
Answer:
3,5,-3,9
Step-by-step explanation:
Domain is x(left circle) while range is right circle(y), meaning the answer is 3, 5, -3, 9.
In a TV contest show, Abraham has 1600 points. To determine his final score in the game, Thomas
will spin the spinner shown below, and multiply his current number of points by the fraction the
spinner landson.
10
3
10
10
10
3
Which statement correctly describes the effect of multiplying his current score by the fractions shown on
the spinner?
Answers
Answer: It makes it smaller, but I don’t know what the fractions are
Step-by-step explanation:
Have a happy thanksgiving!
Answer:
Step-by-step explanation:
What are the fractions on the spinner? What are the statements?
I need help I don't understand it
Answers
It would be linear if it was 0 instead of -1.5
HELP!!
Graph the following direct proportions: y=-2.5x
If possible please explain how to do this so I won’t have to ask future questions :)
Answers
so start from the origin and go down 2.5 and over to the right 1 and keep repeating that pattern
then to make the left end of the line, go 2.5 up and 1 left
this will result in a line going downwards at a slope of 2.5 (aka making a y = -2.5x line)
OMG My teacher posted this stupid assignment and I CANT find WALDO!!! HELP!!!
(also she is my math teacher for those wondering why this was posted in math)
Answers
Answer:
hes at the top left corner with the bootsss
Step-by-step explanation:
Need help with this problem:
There are two dog runs at the pet store. The first one is 11 3/8 feet long and the second one is 13 2/3 feet long. The owner of the store wants to increase the length of the first one by 4 1/2 feet. She wants to increase the length of the second one by 2 5/12 feet.
1. After the lengths of the dog runs are increased what is the length of the longer dog run?
2. How much longer is the longer dog run than the shorter dog run after the lengths are increased?
Answers
Answer:
1246
Step-by-step explanation:
jk get that work
What is angle MNT? Help
Answers
Answer: acute
Step-by-step explanation: it is less than 90 degrees so it is less the right angle
120 degrees.
Angle MNT is equal to its opposite angle, (I cant tell you the angle as one of the points is not showing, it uses T and Q)
Remember, all triangles have angles that when added together, equal 180 degrees.
So, add 35 and 25, which is 60.
Now subtract 60 from 180, 120.
Have a great day!