The table shows the temperature (y) at different altitudes (x).
This is a linear relationship. (Example 2)
2)Find the slope of this relationship
3)Find the y-intercept for this relationship
4)Write an equation in slop intercept form that represents this relationship
5)Use the equation to determine the temperature at an altitude of 5000 feet
Answers
Answer/Step-by-step explanation:
2. Using two pairs of values, (0, 59) and (2,000, 51),
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{51 - 59}{2,000 - 0} = \frac{-8}{2,000} = -\frac{1}{250} [/tex]
3. The y-intercept is the value of y when x = 0. Thus, x = 0, when y = 59. Therefore,
y-intercept (b) = 59
4. To write an equation in slope-intercept form, simply substitute m = -¹/250, and b = 59, in [tex] y = mx + b [/tex]
✅[tex] y = -\frac{1}{250}x + 59 [/tex]
5. Substitute x = 5,000 in [tex] y = -\frac{1}{250}x + 59 [/tex].
[tex] y = -\frac{1}{250}(5,000) + 59 [/tex]
[tex] y = -20 + 59 [/tex]
[tex] y = 39 [/tex]
At an altitude of 5,000 ft, temperature would be 39°F
Related Questions
Mateo has been studying after school while preparing for a test retake. His work paid off ! His score on the retake was a 94. This was quite a difference from the grade on his first attempt which was a 68. What is the approximate percent of change between the two tests?
Answers
Answer:
28%
Step-by-step explanation:
We know that 100 percent is total. Mateo first scored 68/100, then a retake got his score up to 94/100.
First, subtract the two numbers
94 - 68 = 26
Put 26 over 94 to make this 26/94
Divide to get 0.28 (simplified and rounded)
So the increase was 28%
Answer:
increase of 28?
Step-by-step explanation:
Okay so, I believe it is 28, let me explain. First, work out the difference (decrease) between the two numbers you are comparing. Next, divide the decrease by the original number and multiply the answer by 100. If the answer is a negative number, this is a percentage increase.
in which quadrant will the point lie, if the ordinate is 4 and the abcissa is -1
Answers
Answer:
Either the abscissa is positive and the ordinate is negative or the abscissa is positive and the ordinate is negative. So, a point could be either (+,-), which lie in quadrant IV, or it could be of the type (-,+), which lie in quadrant II.
what is the LCM of 20 an 11
Answers
Answer:
220
Step-by-step explanation:
Answer:
The least Common Multiple (LCM) of 11 and 20 is 220.
Step-by-step explanation:
24 point question
Graph f(x) =1/2x+2
Use the line tool and select two points to graph the line.
Please just give the x, y coordinates because I’ve tried to look at other ones and the way it was explained confused me a bit. Thank you
Answers
Answer:
(0,2), (2,3)
Step-by-step explanation:
I know that 0,2 would be a point because it is the constant in the problem, but I am not to sure about 2,3.
Which explanation do you prefer?
Answers
Answer:
hi how are you doing today Jasmine
Which table represents points on the graph of h(x) = RootIndex 3 StartRoot negative x + 2 EndRoot?
A. A 2-row table has 5 columns. The first row is labeled x with entries negative 8, negative 1, 0, 1, 8. The second row is labeled y with entries 4, 3, 2, 1, 0.
B. A 2-row table has 5 columns. The first row is labeled x with entries negative 2, negative 1, 0, 1, 2. The second row is labeled y with entries 10, 3, 2, 1, negative 6.
C.A 2-row table has 5 columns. The first row is labeled x with entries negative 6, 1, 2, 3, 10. The second row is labeled y with entries 2, 1, 0, negative 1, negative 2.
D.A 2-row table has 5 columns. The first row is labeled x with entries negative 4, negative 3, negative 2, negative 1, 0. The second row is labeled y with entries negative 8, negative 1, 0, 1, 8.
Answers
Answer:
Graph C
Step-by-step explanation:
just took the test
The table that represents the given function is Option C.
What is a Function?A function is a law that relates a dependent and an independent variable.
The function is
[tex]\rm \sqrt[3]{ -x +2}[/tex]
The value which corresponds to the function is Table C
x = -6 , y= 2
x = 1 ,y =1
x = 2 , y= 0
x = 3, y = -1
x = 10, y =-2
All the values satisfy the function.
To know more about Function
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find the distance between (-4, -3) and (2,1)
Answers
Answer:
-4,-3 is 4 and 2,1 is 2
Step-by-step explanation:
Erick and Mia live the same distance from the park and decide to meet at the park
one afternoon. The graphs show their distances from home over the same 30-minute
period as they walked to the park. Each section of each graph represents 10 minutes.
Erick
Mia
Distance from Home
Distance from Home
Time
Time
Which of these statements are true?
Answers
Answer:
sorry I don't see any graph
Step-by-step explanation:
anyways
Eric's distance + time Mia's distance + time
Answer:
B, Mia left her house 10 minutes before Erick left his house.
D, Erick and Mia arrived at the park at the same time.
E, Erick walked the same distance as Mia during the last 10 minutes
Step-by-step explanation:
this is destiny h, and we went over this in class. get off of brainly!
Helpppp plzzz plzzz help
Answers
Answer:
This is so easy but I need a little bit of time to solve it
Step-by-step explanation:
Answer:
y=3/4x-5
Step-by-step explanation:
1) Which is greater? a) 0.31 or 0.103 b) 0.98 or 1 c) 0.07 or 0.070 2)Which is smaller? a)1.405 or 1.45 b)0.8 0r 0.008 c) 29.678 or 92.678 3) Arrange in ascending order a) 7.043 , 7.403 , 7.304 b) 47 .63 , 47.636 , 47.736 4)Arrange in descending order a) 0.587 , 1.587 , 0.1587 b) 789.560 , 786 . 065 , 798 .65 5) Arun had Rs 965.27 in the bank .He withdrew Rs 209.98 .How much money is left in the bank ? 6) Sachin's weight was 52.8 kg before he became ill .In the first week , he lost 2.9 kg but in the second week ,he gained 0.72kg .What was his total weight at the end of the second week ? 7) The height of Akash is 1.26m and that of Arjun is 1.3 m , who is taller and by how much ?
Answers
Answer:
Step-by-step explanation:
1)
Which is greater between:
a) 0.31 or 0.103
0.31 is greater than 0.103 because it is close to 1
b) 1.405 or 1.45
1.45 is greater than 1.405
2)
Which is smaller between
a) 1.405 or 1.45
1.405 is smaller than 1.45
b) 0.8 0r 0.008
0.008 is smaller than 0.8
c) 29.678 or 92.678
29.678 is smaller than 92.678
3) Arrange in ascending order
a) 7.043 , 7.403 , 7.304 b) 47 .63 , 47.636 , 47.736
Ascending order means a sequence from the lowest value to the highest value.
SO, in ascending order, the arrangement is:
a) 7.043 , 7.304 , 7.403
b) 47.63 , 47.636 , 47.736
4) Arrange in descending order
a) 0.587 , 1.587 , 0.1587 b) 789.560 , 786 . 065 , 798 .65
Descending order means a sequence from the highest value to the lowest value.
SO, in descending order, the arrangement is:
a) 1.587 , 0.587 , 0.1587
b) 798.65 , 789.580 , 786.065
5) Arun had Rs 965.27 in the bank. He withdrew Rs 209.98. What amount of money is left in the bank?
Given that:
Arun's capital = Rs 965.27 in bank
and he made a withdrawal of Rs 209.98.
The amount left in bank = Rs 965.27 - Rs 209.98
The amount left in bank = Rs 755.29
6) Sachin's weight was 52.8 kg before he became ill. In the first week, he lost 2.9 kg but in the second week, he gained 0.72kg. What was his total weight at the end of the second week?
Initial weight = 52.8 kg
After he became ill:
During the first week, he lost 2.9 kg
He gained 0.72 kg in the second week.
His total weight after the second week = (52.8 - 2.9 + 0.72) kg
His total weight after the second week = 50.62 kg
7) The height of Akash is 1.26m and that of Arjun is 1.3m , who is taller and by how much?
Given that:
The height of Akash = 1.26 m; &
The height of Arjun = 1.3 m.
The Arjun is taller than Akash and he is taller by :
1.3 m - 1.26 m = 0.04 m
Arjun is taller than Akash and he is taller by 0.04 m
Translate the following word sentence into a numerical expression: When you square five times a number, you get three more than the number. Let x be the number. **PLEASE HELP I REALLY DON'T GET THIS AND I ALREADY ASKED MY TEACHER**
Answers
Answer:
[tex]5x^{2}[/tex]×3x
Ling toured New York City with her family. They started their tour at 2:35 P.M. At the Empire State Building, where they spent 1 hour and 50 minutes. They spent 2 hours and 25 minutes in Central Park and 1 hour and 20 minutes in Times Square before dinner. What time was it when Ling and her family went to dinner?
Answers
Answer:
7.50 pm
Step-by-step explanation:
Ling toured New York City with her family. They started their tour at 2:35 P.M. At the Empire State Building, where they spent 1 hour and 50 minutes. They spent 2 hours and 25 minutes in Central Park and 1 hour and 20 minutes in Times Square before dinner. What time was it when Ling and her family went to dinner?
We add the total number of hours together
1 hour 50 minutes + 2 hours 25 minutes + 1 hour 20 minutes
= 4 hours 95 minutes
= 5 hours 15 minutes
5 hours 15 minutes + 2.35 pm
= 7: 50 pm
Tim used the expression n3 to determine the volume of a cube where n represents a side length of the cube. Using this expression, what is the volume, in cubic inches, of a cube with a side length of 3.5 inches?
Answers
Answer: V≈42.88in³
Step-by-step explanation: i might be wrong but let me know
can someone show me how I do this please will give brainliest.
Answers
Answer:
400
Step-by-step explanation:
4*10^6=4,000,000 and 1*10^4=10,000
4,000,000/10,000 is 400
4x+(7-3)5=10 please help with this one
Answers
Answer:
x=-2.5
Step-by-step explanation:
4x+(7-3)5=10
4x+(4)5=10
4x+20=10
subtract 20 from each side
4x=-10
divide each side by 4
x=-2.5
Answer:
X=-2.5
Step-by-step explanation:
What is the number −37,860,000 written in scientific notation?
Select one:
A. -3786 x 104
B. -0.3786 x 108
C. -37.86 x 106
D. -3.786 x 107
Answers
Answer:
The answer is D - 3.786x10^7
Which value is a perfect square? 12 24 49 63
Answers
Answer: 49 is a perfect square.
Step-by-step explanation: We say that 49 is a perfect square because it is the product of an integer multiplied by itself, 7×7. If we had a square with an area of 50, this wouldn't be a perfect square because no integer, multiplied by itself, will give a product of 50.
Use ELIMINATION:
2x - 6y = -54
X + 6y = 63
Answers
HELP 66 hundreds÷10 Choose 1 answer: (Choice A) A 66 \text { thousands}66 thousands66, start text, space, t, h, o, u, s, a, n, d, s, end text (Choice B) B 66 \text { ones}66 ones66, start text, space, o, n, e, s, end text (Choice C) C 66 \text { tens}66 tens
Answers
Answer:
66 tens
Step-by-step explanation:
Required
Solve 66 hundreds / 10
First, we need to express 66 hundreds as a number.
1 hundred = 100
66 hundreds = 66 * 1 hundred
So:
66 hundreds = 66 * 100
66 hundreds = 6600
66 hundreds / 10 would then be calculated as:
66 hundreds / 10 = 6600/10
66 hundreds / 10 = 660
660 can be represented as:
66 hundreds / 10 = 66 * 10
or
66 hundreds / 10 = 66 tens
Hence, option C answers the question
what is the value of f
Answers
Answer:
f = 22
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
140° is an exterior angle of the triangle, thus
4f + 1 + 51 = 140, that is
4f + 52 = 140 ( subtract 52 from both sides )
4f = 88 ( divide both sides by 4 )
f = 22
simplify [tex]\sqrt[4]{2} +\sqrt[7]{2}-\sqrt[3]{2}[/tex]
A. 2 square root of 8
B. 8 square root of 2
C. 8 square root of 6
D. 6 square root of 8
Answers
Answer:
Letter C.
Step-by-step explanation:
..................................
plz help! giving out brainliest!
3/8:(4c+3)=2:2 2/19 find c
Answers
Answer: The value of c would be either the decimal 0.25 or the fraction 1/4.
Plz give Brainliest!
answering this so the other person can get brainliest :)
you did a / not . btw
answer thanks you.
Answers
Answer: 2
Step-by-step explanation:
Rise/Run is the simple version of slope. Count how many squares up it is from the side, which is 2 over 1.
Rewrite the following equation in slope-intercept form.
20x + 15y = 12
Answers
Answer:
y=-4/3x+4/5
———————-
Giving brainliest!! Pls heeelllpppp
Answers
Answer:
I got f^-1(x)= 5x-3
You switch x and y (because f(x) is basically y) so then it's a two-step equation.
Answer: A
Step-by-step explanation:
1 A camera is capable of snapping 3/4 of a picture per second. How many pictures can be snapped within a 36-second period?
Answers
Answer:
27
Step-by-step explanation:
36*(3/4)
I just put that in a calculator so
[56-4²(2)] ÷ (-3)
show work plz
Answers
Answer:
Answer is - 8
Omg too tough question..
Solve the equation: 25^2n+1=625
Answers
Answer:
The value of n is 1/2.
Step-by-step explanation:
[tex] {25}^{2n + 1} = 625[/tex]
[tex] log_{25}(625) = 2n + 1[/tex]
[tex]2 = 2n + 1[/tex]
[tex]2n = 1[/tex]
[tex]n = \frac{1}{2} [/tex]
The solution for the given equation is n=624/625.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation is 25²n+1=625.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
Here, 625n+1=625
625n=624
n=624/625
Therefore, the solution for the given equation is n=624/625.
To learn more about an equation visit:
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-7=2+ w
Help please
Answers
Answer:
w= -9 :)
Step-by-step explanation:
can you show your work for this 4m-5(3m+10)=126
Answers
Answer:
m=−16
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
4m−5(3m+10)=126
4m+(−5)(3m)+(−5)(10)=126(Distribute)
4m+−15m+−50=126
(4m+−15m)+(−50)=126(Combine Like Terms)
−11m+−50=126
−11m−50=126
Step 2: Add 50 to both sides.
−11m−50+50=126+50
−11m=176
Step 3: Divide both sides by -11.
−11m /−11 = 176 /−11
m=−16