1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
zhannawk [14.2K]
3 years ago
14

It is 76°f at the 6000-foot level of a mountain, and 49°f at the 12,000-foot level of the mountain. write a linear equation to f

ind the temperature tt at an elevation xx on the mountain, where xx is the height in feet. enter answers as decimals rounded to the 4 digits.
Mathematics
1 answer:
valina [46]3 years ago
5 0

Answer:

t(x) = 103 -0.0045x

Step-by-step explanation:

We are given the following in the question:

Let the equation:

t(x) = a + bx

be the linear equation that represent temperature at an elevation x.

Temperature at 6000-foot level = 76 f

76 = a + 6000b

Temperature at 12000-foot level = 49 f

49 = a + 12000b

Solving the two equation, we get,

76-49 = -6000b\\27=-6000b\\\\b = \dfrac{-27}{6000}\\\\b = -0.0045\\76 = a + (-0.0045)6000\\76 = a -27\\a = 76 + 27\\a  =103

Thus, we can write the linear equation as:

t(x) = 103 -0.0045x

You might be interested in
What is the slope of the line that goes through -3,7 & -17,3
Natalka [10]

Point 1: (-3, 7)

Point 2: (-17, 3)

To find the slope, we need to use the slope formula which is as follows: m = (y2 - y1) / (x2 - x1). We will plug in each x and y coordinate from our points above, respectively.

m = (3 - 7) / (-17 - - 3)

m = (-4) / (-14)

m = 2/7

The slope of the line that goes through (-3, 7) and (-17, 3) is 2/7.

Hope this helps!! :)

7 0
3 years ago
'find the equation of the line shown':
insens350 [35]

Answer:

y = x + 6

Step-by-step explanation:

The y-intercept is (0, 6).  This is where the line crosses the y-axis.

The slope is 4/4, or 1:  m = 1

The equation of the line is therefore y = x + 6

4 0
3 years ago
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y = 64x−8x^2,
Mandarinka [93]
We need to get the limits first. When y = 0
0 = 64x - 8x^2
x = 0 and x = 8
The volume is
V = ∫ y dx from 0 to 8
V = ∫ (64x - 8x^2) dx from 0 to 8
V = 32x^2 - 8x^3/3 from 0 to 8
V = 682.67<span />
4 0
3 years ago
True or false? Postulates are statements that are accepted without question or justification
ale4655 [162]
<span>True, as a postulate is the assumption of existence.</span>
6 0
3 years ago
Read 2 more answers
Plz help me get the answer ASAP please I been stuck on these
nika2105 [10]

\frac{1}{2}y\leq -7     Multiply 2/1 or 2 on both sides to get "y" by itself

(2)\frac{1}{2}y\leq -7(2)

y ≤ -14


6 0
3 years ago
Read 2 more answers
Other questions:
  • 1.
    8·1 answer
  • Jill is applying for a car loan. which individual will run her credit report to determine if she's eligible for a car loan?
    5·2 answers
  • Which of the following statements correctly uses the distributive property?
    11·2 answers
  • 3.5<br> Find the length of LW
    6·1 answer
  • -2.2.8.4<br> Find the distance between the two numbers on a number line
    7·1 answer
  • How do I work this out? f(x) =-32x^2+25x+3​
    9·1 answer
  • When you cut a pyramid straight up and down, what shape is your cross section?
    9·2 answers
  • Which is the correct answer?
    12·1 answer
  • How is the answer 100.48 ?? Someone explain I'm confused
    11·1 answer
  • There are 3 students to 1 adult on a field trip. You need to find the number of adults needed for 24 students. What would the se
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!