For altitudes up to 36,000 feet, the relationship between ground temperature and atmospheric

temperature can be described by the formula t = -0.0035a +g, in which t is the atmospheric

temperature in degrees Fahrenheit,a is the altitude, in feet, at which the atmospheric temperature is

measured and g is the ground temperature in degrees Fahrenheit. Solve the equation for a. If the

atmospheric temperature is -30.5 °F and the ground temperature is 50 °F, what is the altitude?

The equation for a is a =

If the atmospheric temperature is -305 °F and the ground temperature is 50 °F, then

feet

a =

Answers

Answer 1

Answer:

The equation for a is [tex]a=-\frac{2000}{7}*(t-g)[/tex]

The altitute is 101,428.57 feet

Step-by-step explanation:

You know that the relationship between ground temperature and atmospheric  temperature can be described by the formula

t = -0.0035a +g

where:

t is the atmospheric  temperature in degrees Fahrenheita is the altitude, in feet, at which the atmospheric temperature is  measured g is the ground temperature in degrees Fahrenheit.

Solving the equation for a:

-0.0035a +g=t

-0.0035a= t - g

[tex]a=\frac{t-g}{-0.0035}[/tex]

[tex]a=-\frac{2000}{7}*(t-g)[/tex]

The equation for a is [tex]a=-\frac{2000}{7}*(t-g)[/tex]

If the atmospheric temperature is -305 °F and the ground temperature is 50 °F, then t= -305 °F and g= 50 °F

Replacing in the equation for a you get:

[tex]a=-\frac{2000}{7}*(-305-50)[/tex]

[tex]a=-\frac{2000}{7}*(-355)[/tex]

a= 101,428.57

The altitute is 101,428.57 feet


Related Questions

HURRY AND AWNSER SISSYS

Answers

Answer:

Neither

Step-by-step explanation:

I also think it is neither

Will give brainliest!
a
(1, 3) and (2, 7)
b
(3, 8) and (5, 12)
c
(1, 3) and (6, 13)
d
(5, 12) and (6, 13)

Answers

Answer:

B

Step-by-step explanation:

I think its B because the line would be closest to the rest of the dots in the graph. I hope its right!

Use a number line to show the sum of 6+(-7) ?

Answers

Answer:

-1

Step-by-step explanation:

When you make the number line, go to the middle then move left once. Then mark that  " -1 " and you put the dot over that.

It's hard to explain how to write number lines.

Anyways, the problem equals -1 because 6-7 is negative 1. The + is there to confuse you.

Mark brainliest if possible please :)

The perimeter of a playing field for a certain sport is 214 ft. The field is a rectangle, and the length is 41 ft longer than the width. Find the dimensions

The width of the playing field is

(Type an integer or a decimal)

Answers

Step-by-step explanation:

Perimeter of a rectangle = 2(L+W)

L is the length of the rectangle:

W is the width of the rectangle.

Given

Perimeter = 214feet

If the length is 41 ft longer than the width, then L = 41+W

Substitute L = 41+W into the formula:

P = 2(L+W)

214 = 2(41+W+W)

214 = 2(41+2W)

214 = 82+4W

4W = 214-82

4W = 132

W = 132/4

W = 33 feet

Since L = 41+W

L = 41+33

L = 74 feet

Hence the dimension of the field is 74ft by 33ft

The width of the playing field is 33feet

7th grade math help me plzzzz

Answers

Answer:

a) -16

b)7

c) -4

d) 9

Step-by-step explanation:

by solving

Please help please ​

Answers

Answer:

1.) supplementary  m<1+m<2=180 and m<2+m<3=180

2.) congruent, supplementary

Step-by-step explanation:

the answers are in this order above

9.831 rounded to the nearest tenth

Answers

Answer:

9.8

Can i get brainliest please?

Answer:

9.8

Step-by-step explanation:

Hoped that helped :)

Choose the true statement.

Answers

The first one is the correct one

Answer:

-8 < 8

Step-by-step explanation:

-8 is less than 0 so it is definitely less than 8

Hope this helped :)

Tree heights: Cherry trees in a certain orchard have heights that are normally distributed with mean μ = 112 inches and standard deviation σ = 10 inches. Use the TI-84 PLUS calculator to answer the following. Round the answers to at least two decimals. (a) Find the 22nd percentile of the tree heights. (b) Find the 80th percentile of the tree heights. (c) Find the first quartile of the tree heights. (d) An agricultural scientist wants to study the tallest 1% of the trees to determine whether they have a certain gene that allows them to grow taller. To do this, she needs to study all the trees above a certain height. What height is this? Part: 0 / 40 of 4 Parts Complete Part 1 of 4 Find the 22nd percentile of the tree heights. The 22nd percentile of tree heights is inches.

Answers

Answer:

Explained below.

Step-by-step explanation:

Let X represents the tree heights.

It is provided that X follows a normal distribution with mean μ = 112 inches and standard deviation σ = 10 inches.

(a)

Compute the 22nd percentile of the tree heights as follows:

[tex]P(X<x)=0.22\\\\P(Z<z)=0.22[/tex]

The z-score for the corresponding probability is, z = -0.77.

Compute the value of x as follows:

[tex]z=\frac{x-\mu}{\sigma}\\\\-0.77=\frac{x-112}{10}\\\\x=112-(0.77\times 10)\\\\x=104.3[/tex]

Thus, the 22nd percentile of the tree heights is 104.3 inches.

(b)

Compute the 80th percentile of the tree heights as follows:

[tex]P(X<x)=0.80\\\\P(Z<z)=0.80[/tex]

The z-score for the corresponding probability is, z = 0.84.

Compute the value of x as follows:

[tex]z=\frac{x-\mu}{\sigma}\\\\0.84=\frac{x-112}{10}\\\\x=112+(0.84\times 10)\\\\x=120.4[/tex]

Thus, the 80th percentile of the tree heights is 120.4 inches.

(c)

Compute the first quartile of the tree heights as follows:

[tex]P(X<x)=0.25\\\\P(Z<z)=0.25[/tex]

The z-score for the corresponding probability is, z = -0.67.

Compute the value of x as follows:

[tex]z=\frac{x-\mu}{\sigma}\\\\-0.67=\frac{x-112}{10}\\\\x=112-(0.67\times 10)\\\\x=113.3[/tex]

Thus, the first quartile of the tree heights is 113.3 inches.

(d)

The tallest 1% of the trees, i.e. P (X > x) = 0.01.

That is, P (X < x) = 0.99.

⇒ P (Z < z) = 0.99

The corresponding z-value is, z = 2.33.

Compute the value of x as follows:

[tex]z=\frac{x-\mu}{\sigma}\\\\0.99=\frac{x-112}{10}\\\\x=112+(0.99\times 10)\\\\x=121.9[/tex]

Thus, the tallest 1% of the trees are more than 121.9 inches tall.

All I need is the slope and the equation also the y-intercept to help please!

Answers

Answer:

1) Slope; -10

Y-intercept; (0,60)

Equation; y=−10x+60

2) Slope;-1/2

Y-intercept; (0,0)

Equation; y=−1/2x

Step-by-step explanation:

Use the slope formula and slope-intercept form y=mx+b to find the equation.

Answer:

1.)

slope: -10

y-intercept: 60

equation: [tex]y=-10x+60[/tex]

2.)

slope: [tex]-\frac{1}{2}[/tex]

y-intercept: 0 (the line passes through the origin)

equation: [tex]y=-\frac{1}{2} x[/tex]

Explanation:

To find your slope you can use the equation [tex]\frac{y_{2}-y_1 }{x_2-x_1}[/tex], plugging in the designated numbers from two ordered pairs you select from the chart.

Your y-intercept is the value found at y whenever x is equal to 0.

For your equation, you simply place your slope in front of x and add on your y-intercept.

What are the solutions of this quadratic equation?
x + 10 = 0

Answers

i think that the answer is d

Simplify (4.5)(5)(−2).

Group of answer choices

45

4.5

−4.5

−45

Answers

Answer: -45

Steps: 4.5 × 5 × -2 = -45

Plz mark brainliest:)

What is the value of m ?

Answers

Answer:

20

Step-by-step explanation:

its 20 but i.need to explain so 180-110-40=20

help and ill give u brainly And points ASAp

Answers

i’ll help you, but the image isn’t popping up

Mrs. Olen wants to join a gym. Francis Lewis Gym charges a new member fee of $150 plus $10 each month. Clintonville Gym charges a new member fee of $50 plus $35 each month.

Answers

Answer:Step-by-step explanation:

a. Let x = number of months

Amount charged by Francis Lewis Gym = 150 + 10x

Amount charged by Clintonville Gym = 50 + 35x

Set each expression equal to the other to generate an equation to use in finding the number of months for which the cost of membership will be the same at both months

150 + 10x = 50 + 35x

Collect like terms

150 - 50 = -10x + 35x

100 = 25x

Divide both sides by 25

100/25 = x

4 = x

Answer: 4 months

b. Substitute x = 2 into each if the expression of the amount charged by each gym. The one that gives the lowest amount should be the one Mrs. Open should should join.

Amount charged by Francis Lewis Gym = 150 + 10x

= 150 + 10(2)

= 150 + 20

= $170

Amount charged by Clintonville Gym = 50 + 35x

= 50 + 35(2)

= 50 + 70

= $120

She should join the Clintonville Gym if she plans to join a gym for 2 months.

Answer: Clintonville Gym

On the graph paper, plot a point A (-2,-2).Reflect the point A in x-axis and y-axis. Let these points be B and C. Find the measure of angle BAC​

Answers

9514 1404 393

Answer:

  90°

Step-by-step explanation:

The lines of reflection make right angles with each other, so the angle made with the reflected points will be a right angle.

  m∠BAC = 90°

There are three consecutive even integers. Three times the smallest is twice the largest. What are the integers?

Answers

Answer:

8, 10, 12 are the integers

Step-by-step explanation:

Guess and check

78 feet wide and 27 feet long what is the perimeter?

Answers

Answer:

105

Step-by-step explanation:

When finding the perimeter add them together

There are four different sets of objects shown in the answer choices. Select all of the sets of objects that could be modeled by perpendicular lines. Two roads that meet at an intersection. The top of a desk and the floor. A tree and its shadow on the ground. Two stars seen in the sky.

Answers

Answer:

Step-by-step explanation:

Select all of the object sets that could be modelled by perpendicular lines.

A perpendicular line is one that divides a 180 degrees line (or a straight line) into two; creating 90 degrees on one hand and 90 degrees on the other.

OPTIONS:

(A) APPLICABLE

Two roads that meet at an intersection can be modelled by perpendicular lines. Use the definition above as a yardstick.

(B) APPLICABLE

The top of the desk to the floor will represent the dividing line while the floor itself will be the 180° line.

(C) NOT APPLICABLE

A tree and its shadow on the ground will only form a right-angled triangle

(D) NOT APPLICABLE

Two stars seen in the sky cannot be modelled by perpendicular lines. They can only be modelled by a straight line; a line which extends from the first star to the other.  

Some one please help it’s subtracting fractions

Answers

Convert any mixed numbers to fractions.

Then you get your initial equation

Applying the fractions formula for subtraction

Simplifying 72/16, the answer is

4 1/2

Find the slope of the line through the points (3,2) and (4,5).

Answers

Answer:

[tex]m=3[/tex]

Step-by-step explanation:

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Simply plug in the 2 coordinates into the slope formula to find slope m:

[tex]m=\frac{5-2}{4-3}[/tex]

[tex]m=\frac{3}{1}[/tex]

[tex]m=3[/tex]

PLEASE HELPPPPPPP



multiply

Answers

Answer:

-156.9*0.01= -1.569

-62(-0.4)= 20.8

Answer:

1. -156.9 x 0.01 = -1.569

2. -62(-0.4) = 24.8

Step-by-step explanation:

Do you guys know the answer?

Answers

EFGH is twice the size of ABCD

A biker cycles 9 miles in 2/3 of an hour.
The distance here varies directly with time. What is the constant of variation? (It is the hikers’ rate .)

Answers

Answer:

this is for you RSM people.

1 hour=13.5

2 hours=27

3 hours=40.5

3.5 hours=47.25

Step-by-step explanation:

The constant variation of the biker is the speed of the biker, Hence, the constant variation is 13.5 mph

Giveb the Parameters :

Distance biked = 9 miles Time taken = 2/3 hours

Recall :

Speed = distance / time

Speed = 9 ÷ 2/3

Speed = 9 × 3/2

Speed = 27/2 = 13.5 miles per hour.

Therefore, the constant variation is 13.5 mph.

Learn more : https://brainly.com/question/18796573

Tom buys some polos for $18 each.He has a coupon for $25 off the total price.If he pays $47, how many shirts,p,did he buy?

Answers

Answer:

he should have bought 4-5 unless he under paid but i'd say he bought 4 polo shirts

Step-by-step explanation:

Find the exponential function evaluate of
Y=2.5x

Answers

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

Slope: 2.52.5

y-intercept: (0,0)

x y

0 0

1 2.5

231km 118m - 485km 829m in the smallest unit

Answers

Answer:

Uhhhhhh

Step-by-step explanation:

ABUNDA LA CACA BDHDHENSNGAGVD

Answer:

hard

Step-by-step explanation:

4.20. According to a report released by the National Center for Health Statistics, 51% of U.S. households has only cell phones (no land line). According to the FCC, nearly 70% of the U.S. households have high-speed Internet. Suppose of the U.S. households having only cell phones, 80% have high-speed Internet. A U.S household is randomly selected. a. What is the probability that the household has only cell phones and has high-speed Internet

Answers

Answer:

The probability that the household has only cell phones and has high-speed Internet is 0.408

Step-by-step explanation:

Let A be the event that represents U.S. households has only cell phones

Let B be the event that represents U.S. households have high-speed Internet.

We are given that 51% of U.S. households has only cell phones

P(A)=0.51

We are given that 70% of the U.S. households have high-speed Internet.

P(B)=0.7

We are given that U.S. households having only cell phones, 80% have high-speed Internet. A U.S household is randomly selected.

P(B|A)=0.8

[tex]\frac{P(A\capB)}{P(A)}=0.8\\P(A\capB)=0.8 \times P(A)\\P(A\capB)=0.8 \times 0.51\\P(A\capB)=0.408[/tex]

Hence the probability that the household has only cell phones and has high-speed Internet is 0.408

PLEASE HELP!?!?!

a. c + 7 less than or equal to 3


b. c – 3 > 1


c. c – 7 < 3


Matching


Match the inequality to the graph of its solution.

Answers

It’s b hope that helped have a great night

The mean hourly wage for employees in goods-producing industries is currently $24.57 (Bureau of Labor Statistics website, April, 12, 2012). Suppose we take a sample of employees from the manufacturing industry to see if the mean hourly wage differs from the reported mean of $24.57 for the goods-producing industries. a. State the null hypotheses we should use to test whether the population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the goods-producing industries. 1. 2. 3. Choose correct answer from above choice 1 State the alternative hypotheses we should use to test whether the population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the goods-producing industries. 1. 2. 3. Choose correct answer from above choice 1 b. Suppose a sample of 30 employees from the manufacturing industry showed a sample mean of $23.89 per hour. Assume a population standard deviation of $2.40 per hour and compute the p-value. Round your answer to four decimal places. .9588 c. With

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Population Mean wage (m) = $24.57

a. State the null hypotheses we should use to test whether the population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the goods-producing industries.

The Null hypothesis : μ = 24.57

1 State the alternative hypotheses we should use to test whether the population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the goods-producing industries.

Alternative hypothesis : μ ≠ 24.57

1 b. Suppose a sample of 30 employees from the manufacturing industry showed a sample mean of $23.89 per hour. Assume a population standard deviation of $2.40 per hour and compute the p-value.

Sample size (n) = 30

Sample mean (Sm) = 23.89

Population standard deviation (σ) = 2.40

Obtaining Z:

Z = (Sm - m) / σ/√n

Z = (23.89 - 24.57) / 2.40/√30

Z = - 0.68 / 0.4381780

Z = - 1.5518805

Using the online p value calculator from Zscore

P value = 0.121142

= 0.1211

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