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3 years ago

Write an equation that can be used to find the atmospheric temperature T, at an altitude A.

Mathematics

1 answer:

ANEK [815]3 years ago

5 0

Answer:

T = 88 -(7/2000)A

Step-by-step explanation:

The table values have a constant difference of +2000 ft and -7 degrees, so the slope of the linear equation is -7/2000 degrees per ft. The temperature is 88 at an altitude of 0, so we can write the requested equation in slope-intercept form as ...

T = 88 -(7/2000)A

_____

The slope-intercept form of the equation for a line is ...

y = mx + b

where m is the slope and b is the y-intercept. In this equation, y is the dependent variable and x is the independent variable. For our temperature equation, the dependent variable is T, and the independent variable is A.

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The average of the first 3 weights was 14 pounds. The average of the next 7 was 4 pounds. What was the overall average of the we

miskamm [114]

Answer:

$Average = 10$

Step-by-step explanation:

Given

$First\ Three = 14$ --- Average

$Next\ Seven= 4$ --- Average

Required

Determine the overall average

Represent the sum of the first three with x.

So:

$\frac{x}{3} = 14$

Solve for x

$x = 14 * 3$

$x = 42$

Represent the sum of the next seven with y.

So:

$\frac{y}{7} = 4$

Solve for y

$y = 4 * 7$

$y = 28$

The overall average is calculated as thus:

$Average = \frac{x + y}{7}$

$Average = \frac{42 + 28}{7}$

$Average = \frac{70}{7}$

$Average = 10$

7 0

3 years ago

A ratio of two numbers is equal to 3:8. If the smaller number is 12,find the greater number.

iragen [17]

The other no. is:

32

As you can see that in the ratio given, 3 is the smaller no. and 12 too.

So when we divide 12 by 3, we get 4 

Then to find the other no. we need to multiply 4 with 8 (which is the other no. in the ratio given)

Therefore, we get the other no. as 32

And also when you divide 12 by 32,

You get the answer as 3 by 8 (which is the given ratio)

Hope you found this helpful!

THANK YOU!!

∝ Sidhdi

6 0

3 years ago

Guided Practice Use double number lines to find the whole. (Exam 40 is 20% of what number?

Elena-2011 [213]

20% of 40 is 8 :) hope that helps

4 0

3 years ago

A rectangular window has a length of 12 ft an width of x ft. Whitch expression represents the area of the window

yawa3891 [41]

Answer: 12x

Step-by-step explanation: I just did the test right now got 100% good luck on ya'll test. plz give me a rating

8 0

3 years ago

Read 2 more answers

BRAINLIEST ASAP! PLEASE HELP ME :)

aleksandrvk [35]

Answer:

Two

Step-by-step explanation:

The table is saying that, if Sandra swam enough races, she should expect to get 20 firsts, 12 seconds, 6 thirds, and two no placements.

Her expected value of points will be the average (mean) of all the points awarded for each race.

The average is the total number of points divided by the number of races.

$\begin{array}{cccl}\textbf{Points} & & \textbf{Total}\\\textbf{Awarded} & \textbf{Frequency} & \textbf{Points}\\3 & 20 & 60\\2 & 12 & 24\\1 & 6 & 6\\0 & 2 & 0\\\textbf{TOTAL} & \mathbf{40} & \mathbf{90}\\\end{array}$

The simulation says that, if she swam 40 races, she should expect to earn a total of 90 points.

$\text{Average} = \dfrac{\text{Total points}}{\text{Number of races }} = \dfrac{\text{90}}{\text{40}} =\textbf{2.25 points/race}$

She can't win a fraction of a point, so she can expect to win two points in her first race.

5 0

4 years ago