You are at an altitude of 250 feet in a hot-air balloon. You turn the burner on high and rise at a rate of 20 feet per minute for 5 minutes. Your altitude h after you have risen for t minutes is given by the function h = 250+ 201. (a) Make a table to show the altitude as a function of the number of minutes you have traveled. (b) Graph your data points-make sure to label the units on your axes. (c) Does it make sense to connect the points on the graph? Explain. 400 Altitude # of minutes ( in feet) 350 300 1 250 1.5 200 150 3 100 4 50 1 2 4 5 6 3. 2. Question Name: Date: Page 5 of 6 7. You are at an altitude of 250 feet in a hot-air balloon. You turn the burner on high and rise at a rate of 20 feet per minute for 5 minutes. Your altitude h after you have risen for t minutes is given by the function h = 250 + 20t. (a) Make a table to show the altitude as a function of the number of minutes you have traveled. (b) Graph your data points-make sure to label the units on your axes. (c) Does it make sense to connect the points on the graph? Explain. 400 Altitude # of minutes ( in feet) 350 300 1 250 1.5 200 150 3 100 4 50 5 1 3 4 5 (d) After 5 minutes, you turn the burner to low. This gives just enough heat to keep the balloon from falling but not enough to make it rise any higher. Plot a point on the graph to show how high the balloon is after 6 minutes. (e) Does it make sense to connect the point plotted in part (d) to the rest of the graph? Explain. (f) What is the domain of the function? (g) What is the range of the function? Transcribed Image Text:Name: Date: Page 5 of 6 7. You are at an altitude of 250 feet in a hot-air balloon. You turn the burner on high and rise at a rate of 20 feet per minute for 5 minutes. Your altitude h after you have risen for t minutes is given by the function h = 250 + 20t. (a) Make a table to show the altitude as a function of the number of minutes you have traveled. (b) Graph your data points-make sure to label the units on your axes. (c) Does it make sense to connect the points on the g
Answers
Yes, when we connect the points, we get straight line.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Given that, you are at an altitude of 250 feet in a hot-air balloon. You turn the burner on high and rise at a rate of 20 feet per minute for 5 minutes.
Your altitude h after you have risen for t minutes is given by the function h = 250+ 20t.
a) Make a table to show the altitude as a function of the number of minutes you have traveled.
t h
0 250
1 270
2 290
3 310
b) Graph the points, (0, 250), (1, 270), (2, 290) and (3, 310).
c) Yes, when we connect the points, we get straight line.
Hence, graph the points, (0, 250), (1, 270), (2, 290) and (3, 310).
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Related Questions
help me with this question please
Answers
Answer:
[tex] \sf \: d) \: 82[/tex]
Step-by-step explanation:
Given information,
→ d = 10
→ u = 7
→ e = 3.2
The expression is,
→ d(e + 5)
Let's evaluate the expression,
→ d(e + 5)
→ 10(3.2 + 5)
→ 10 × 8.2
→ 82
Hence, option (d) is correct.
Answer:
Option D) 82
Step-by-step explanation:
Given ,
d = 10
u = 7
e = 3.2
To Find : [tex]d(e+5)[/tex]
Applying the values in the equations we get
[tex]10(3.2+5)\\[/tex] Applying Distributive property
[tex]32+50 = 82[/tex]
Hence , Option D) is the answer
An architect is designing a circular window to be installed in the
gable of a house. The metal window frame will be 1 foot wide and will be bordered by
the roof above and a wood beam below. The distance from the center of the window to the roof is 3 feet. What will be the circumference of the circular glass pane that will be
needed?
Answers
Answer:
12.57 ft
Step-by-step explanation:
First thing we need to find is the radius of the circular glass pane. We are given the information that the center of the glass plane is directly in the center of the triangle and that the closest distance from the center to the roof is 3 ft, including a metal border with a width of 1 ft.
Since the metal frame is the same width all the way around the window, we can safely conclude that the radius of the circular glass pane is 2 ft, as the 3ft measurement included the radius and the metal frame.
Now that we have our radius we can use the formula:
[tex]C=2\pi r[/tex] (Circumference = 2 x pi x radius)
Using 3.14 for pi we get:
[tex]C=2(3.14)(2)[/tex]
[tex]C=4 \pi[/tex] or 12.57 ft (2.d.p)
What if I only know the length of the shorter side consider the triangle equilateral triangle than determine the values of n and m without using a calculator
Answers
Answer: An equilateral triangle is a three-sided polygon with three equal sides and three equal angles of 60 degrees each. If you know the length of one of the sides of an equilateral triangle, you can use the formula for the area of an equilateral triangle to determine the values of n and m. The formula for the area of an equilateral triangle is:
Area = (sqrt(3)/4) * s^2
where s is the length of one of the sides of the triangle.
To determine the values of n and m, you can rearrange the formula to solve for s. For example, if you know that the area of the triangle is n and the value of m is the length of one of the sides of the triangle, you can rearrange the formula to solve for s:
s = sqrt(4n/sqrt(3))
Then, you can use the value of s to determine the value of m.
Step-by-step explanation:
which of the expressions below has a 6 in the tenths place if the difference a) 17.45 - 8,81 b) 12.35 - 1.76 c) 5.78 - 2.16 d) 19.34 - 1.69
Answers
1. choices: m-n m+n. m x n
2. choices: two. one. m. n.
3. choices: one. two. zero
4.choices: one. two. zero.
5. choices: first and last. first. last. middle
Answers
The initial polynomial result will include several terms, but after simplification, there may only be one or two terms left.
Polynomial's will be in which form?Each polynomial must be considered to be in standard form. The initial multiplication will result in a total of m and n terms since each of the m terms of the first polynomial will be multiplied by each of the n terms of the second.
When the sum is simplified, some of those elements may be combined, resulting in a final product with only one or two terms.
1. 2 × b = 2b . . . . . each has 1 term; the result has 1 term.
2. (x -a)(x +a) = x² -ax + ax -a² (2×2=4 terms) = x² -a² . . . . the results has 2 terms.
3. (x -a)(x³ +x) = x⁴ -ax³ + x² -ax . . . the results has 2×2 = 4 terms
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When is it best to solve a system of equations using substitution?
Answers
Answer:
It is best to solve a system of equations using substitution when one of the equations isolates one of the variables, or when the coefficient of one of the variables is 1 or -1.
Step-by-step explanation:
This makes it easier to substitute one variable for the other, allowing you to solve for the remaining variable. It is also a good idea to check the solution back in the original equations just to make sure it is a valid solution
Answer:
Answer Below
Step-by-step explanation:
It is best to use substitution if one of the variables is isolated or has a coefficient of 1 or -1.
Geometry homework :/
Answers
The length of PZ is 7 units.
What is Centroid Property?According to the centroid theorem, the triangle's centroid is located 2/3 of the way between the vertex and the side midpoints.
Given:
As, Centroid is the point where all median of a Triangle intersect.
Here, we have centroid 'P'.
Now, using the property of Centroid that the Centroid of the triangle is at 2/3 of the distance from the vertex to the mid-point of the sides.
So, SP = 1/3 SZ => SZ = 3SP
and, PZ = 2/3 SZ => SZ = 3/2 PZ
Then, 3SP = 3/2 PZ
3(3.5) = 3/2 PZ
10.5 x 2 = 3 PZ
21 = 3PZ
PZ = 7 units
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A house 20 meters long and 15 meters wide is surrounded by a verandah of uniform width of 3 meters. Find the cost of the flooring the verandah at RS 200 per square meter
Answers
Answer:
49200 rs. so the cost of flooring =246*200=49200 rs
Step-by-step explanation:
we measure the area of veranda by taking width in addition of length and breadth- house area
it means
area of veranda =outer rectangle-inner rectangle
⇒area= (20+3+3)*(15+3+3)-20*15
⇒area=26*21-300
⇒area= 546-300
⇒area=246 m²
Hence , the cost of flooring =246*200=49200 rs.
y is equal to 5 less than the product of x and -2. If the output is -27, what is the input?
Answers
Answer: 27 over 2,5
Step-by-step explanation:
Which problem situation matches the
equation $95.25 = 15p?
A Cassie is paid $95.25 for 15 hours
of work. Find p, the amount she
was paid per hour.
B Kris is paid $6.35 per hour for
mowing the lawn. Find p, the
amount he is paid for 15 hours of
mowing.
CA iPad was on sale for $95.25. Find
p, the amount Noah needs to buy
the iPad if he already has $15.
D Fifteen friends spend $95.25 each
for tickets to a Cowboy's game.
Find p, the amount they paid total.
Answers
Answer:
Step-by-step explanation:
Which problem situation matches the
equation $95.25 = 15p?
So We Can Just Cross B Cause $6.35 Wasnt Even In The equation
Lets look at A.
So Im pretty sure its A, But Lets look at the rest.
.
D Wouldnt Work Cause It Says The Spend $95.25 EACH
C dont work so its A.
31 is what percent of 37?
Answers
Answer: The total answers count 37 - it's 100%, so we to get a 1% value, divide 37 by 100 to get 0.37. Next- calculate the percentage of 31: divide 31 by 1% value (0.37), and you get 83.78% - it's your percentage grade.
PLSS I NEED THIS! Number 4
Answers
Answer:
(b) y < x-1; y ≤ -2x+2
Step-by-step explanation:
You want to know the inequalities represented on the graph showing a solid line with negative slope and a y-intercept of 2, and a dashed line with positive slope and a y-intercept of -1, where the shading is below both lines.
Line typeIf the line is included in the solution set (≤ or ≥ is used), the boundary line is graphed as a solid line. If the line is not included in the solution set (< or > is used), the boundary line is graphed as a dashed line.
Here, the line with positive slope is dashed, and the line with negative slope is solid.
y = x -1 . . . . is a line with positive slope
y = -2x +2 . . . . a line with negative slope
ShadingThe shading is below the line for y-values less than those on the line:
y < x -1 . . . . shading below a dashed line with positive slope
y ≤ -2x +2 . . . . shading below a solid line with negative slope
These are the inequalities of interest.
Help me solve solution to the system of equations.
Answers
Answer:
[tex](\frac{5}{3} ;\frac{4}{3} ).[/tex]
Step-by-step explanation:
[tex]\left \{ {{x+y=3} \atop {\frac{y+2}{2} =x}} \right. \ = > \ \left \{ {{x+y=3} \atop {y+2=2x}} \right. \ = > \ \left \{ {{x+y=3} \atop {2x-y=2}} \right. \ = > \ \left \{ {{x=\frac{5}{3} } \atop {y=\frac{4}{3} }} \right.[/tex]
Show that 113 +112 = 225, using at least three daily life examples.
Answers
Answer:hope this helps!
1. Step-by-step explanation:
there is a blanket costing 112
and a chair costing 113
after going to the register you find that the total is
225
2. Step-by-step explanation:
there is a printer costing 112
and a laptop costing 113
after going to the register you find that the total is
225
3. Step-by-step explanation:
there is a pillow costing 112
and some makeup costing 113
after going to the register you find that the total is
225
hope this helps i was in a rush so sorry if it was bad
what is the first step to solve the system using substitution?
2y+x=4 3y=2x+6
A. Isolate a variable in one of the equations
B. Set one of the equations equal to zero
Answers
Answer:
A.
Step-by-step explanation:
just put it i swear it will help lollllll
The graph below represents the linear equation y = 1/2x - 3.
A second linear equation is represented by the data in the table.
x | y
-1 | 1
0 | 0
2 | -2
3 | -3
What is the solution to the system of equations?
A) (-2, -4)
B) (1, -1)
C) (2, -2)
D) (4, -4)
Answers
Answer:
(2,-2)
Step-by-step explanation:
The answer is the intercept point of both lines, so we need to find the point when both the line touches, with out graphing we can see by the table that point (2, -2) intercepts with the line on the graph.
hope this helps :)
Answer:
C) (2, -2)--------------------------
From the table we see each y-coordinate is the negative of the corresponding x-coordinate. It gives us the second line:
y = - xThe first line is given y = 1/2x - 3, equate both to get:
- x = 1/2x - 3-2x = x - 6x + 2x = 63x = 6x = 2Then the value of y:
y = - x = - 2The solution is (2, - 2).
For the function graphed below, what is the output when x=-2?
Answers
Step-by-step explanation:
that is a college level question ? and you don't know the answer ?
that is basic, basic, basic ...
you go on the x-axis to -2.
from there you go either up or down and look at what y-value are you crossing the functional curve.
it is -1.
so, the "output" for x = -2 is y = -1. or simply -1.
Whose inverses are also functions
Answers
Functions whose inverses are also functions.
What is inverse function?Inverse function is represented by [tex]f^{-1}[/tex] with regards to the original function and the domain of the original function becomes the range of inverse function and the range of the given function becomes the domain of the inverse function. The graph of the inverse function is obtained by swapping (x, y) with (y, x) with reference to the line y = x.
If a horizontal line intersects the original function in a single region, the function is a one-to-one function and inverse is also a function.
Every function has an inverse, but not every inverse will be a function. The inverse may fail the vertical line test. If the original function is a one-to-one function, then its inverse will be a function. A one-to-one function not only passes the vertical line test, it also passes a horizontal line test.
Therefore, functions whose inverses are also functions.
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Tony purchased a total of 18 bikes and magazines.Each book costs $12.How many books and magazines did he buy for $240
(You must define you variables and show your equations)
Answers
Tony purchased 12 books and 6 magazines for a total of $240.
What is equation?An equation is a mathematical statement that expresses two or more mathematical expressions as equal. It typically consists of an equals sign (=), two or more variables, and a number or operation that links them. Equations are often used to solve problems, model real-world situations, and to make predictions.
He bought 12 books for $12 each, and 6 magazines for $12 each. Thus, the total cost of 18 books and magazines was $240.
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Please help will mark Brainly
Answers
Answer:
which of the following is not a true statement 4/6 equals 8/12 2/3 equals 10/15 2/10 equals 3/15 3/4 equal 6/9
Step-by-step explanation:
PLEASE HELP ASAP DUE TODAY NOW!!!!!!!!!!!
Answers
Answer:
0.910
Step-by-step explanation:
since it'snot perfect it can't be one and since it a positive slope it is 0.9102.
It snowed 3 inches each day for a week. By
the next Monday, 6 inches had melted away.
How many inches of snow were still on the
ground?
Answers
Answer:
3 × 7 = 21
21 - 6 = 15
15 is the answer
Check Understanding th
Math
Board
1 There are 46 swimmers and 7 lanes. The same number of
swimmers will go in each lane. Any remaining swimmers will
practice diving. How many swimmers will each lane have?
• Write a division equation to model the problem.
• Use the space at the right to show how you can use
repeated subtraction to solve.
Each lane will have ______
Module 6 Lesson 5
swimmers.
Answers
Answer: To model the problem with a division equation, we can write 46 ÷ 7 = x, where x represents the number of swimmers that each lane will have.
To solve the equation using repeated subtraction, we can subtract 7 from 46 several times until we reach a number that is less than 7. The number of times we subtract 7 will give us the number of swimmers each lane will have. Here's one way to do it:
46 - 7 = 39
39 - 7 = 32
32 - 7 = 25
25 - 7 = 18
18 - 7 = 11
11 - 7 = 4
As you can see, we are able to subtract 7 from 46 a total of 6 times before we get a number less than 7. This means that each lane will have 6 swimmers, and the remaining 4 swimmers will practice diving. So each lane will have 6 swimmers.
So the equation 46 ÷ 7 = 6, and also by repeated subtraction method it shows the same result of 6 swimmers each lane.
Step-by-step explanation:
• Jason runs 8 miles in an hour and bikes 12 miles in an hour.
. This week, he runs a total of 3 hours and bikes a total of 6 hours.
Answers
He also bikes a total of 126 = <<126=72>>72 miles this week.
In total, Jason runs and bikes a total of 24+72 = <<24+72=96>>96 miles this week.
Please help will mark Brainly
Answers
Answer: 12
Step-by-step explanation: There are about 12 grams of carbohydrates in a 8 fluid ounce (240 mL) glass of whole milk. The amount of carbohydrates in milk can vary slightly depending on the type of milk you are drinking. For example, skim milk has slightly fewer carbohydrates (about 11 grams per 8 fluid ounces) than whole milk because the fat has been removed. On the other hand, milk that is high in fat, such as heavy cream, has even more carbohydrates (about 4 grams per fluid ounce).
Write 49D2
in the base-ten system.
Answers
Each position in base 10 is worth ten times the place to its right, and there are ten numbers (0–9). 49D2 in the base-ten system is equal to 204064.
What does base-10 value 2 have?When you come to "two," you discover that there isn't a single digit in base-two math that stands for "two." Instead, you enter a "1" for "1 two" and a "0" for "0 ones" in the twos and units columns, respectively.
[tex]49D2 in the base-ten system is 4916^3 + 1316^2 + 216^1 \\\\= (494096) + (13256) + (216) \\\\= 200704 + 3328 + 32\\ \\= 204064[/tex]
Binary has a basis of 2 or 10.A binary counting system simply employs the numerals 0 and 1 in each place. Base 2 is another name for binary. In binary, a second place is required to represent a number greater than 1.
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round 20/3 to the nearest hundredth of a foot
Answers
The fraction 20/3 rounded to the nearest hundredth is 6.67.
What is rounding off of numbers?We round off numbers to make them easier to remember and it also keeps their value approximately to the place it has been rounded off.
To round off any number to any place we'll look for the digit next to that place and if it is equal to or greater than 5 we'll add one to the previous digit and make all the digits after it zeroes and if the digit is less than 5 we do not add one to the preceding digit and simply make all the digit after it to zeroes.
Given, A fraction 20/3, First we'll convert this fraction into a decimal.
So, 20/3 is equal to 6.666666....
Therefore, 20/3 to the nearest hundredth of a foot is equal to 6.67.
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The manager of a theatre recorded the number of people that brought tickets for each movie. What is the probability that next person in line will purchase a ticket to see movie #2
Answers
how many movies were there?
y=(x+3)(x-2)(x-r) with a y int. of 24. solve for r?
Answers
Answer:
Step-by-step explanation:
To solve for r, you need to first find the values of x that make y equal to 24. These values of x are called the roots of the polynomial equation y = (x+3)(x-2)(x-r).
To find the roots of the equation, you can use the quadratic formula:
x = (-b +/- sqrt(b^2 - 4ac)) / (2a)
where a, b, and c are the coefficients of the quadratic equation y = ax^2 + bx + c.
In this case, the coefficients are:
a = 1
b = -3
c = -24
Substituting these values into the quadratic formula, we get:
x = (3 +/- sqrt(9 - 96)) / 2
= (3 +/- sqrt(-87)) / 2
Since sqrt(-87) is not a real number, there are no real roots for this equation. Therefore, the value of r cannot be determined.
To order tickets online to a hockey game
Answers
Answer:
I'm not quite sure what the question is here but in order to buy tickets to a hockey game, you can type the hockey team or game into the web browser and select their website then select the time and dates you'd like to see the game
Hope this helps!