Suppose there is a 1.7f drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature on the ground is 49.9f what will be the temperature when the plane reaches am altitude of 4,000ft?? The temperature will be_____F (type an integer or a decimal)

Answers

Answer 1

Answer:

[tex]43.1 ^{\circ}F[/tex]

Step-by-step explanation:

Give that for every 1000 feet increase in the height there is a drop of [tex]1.7 ^{\circ}F[/tex] in temperature.

So, the rate of temperature drop with respect to height, R = 1.7/1000 [tex]^{\circ}F/\text{ft}[/tex].

If the change in height is [tex]\Deltah[/tex][tex]\Delta h[/tex] feet, the temperature drop,

[tex]\Delta T= \Delta h R \;^{\circ}F\cdots(i)[/tex]

The temperature on the ground is 49.9 [tex]^{\circ}F[/tex].

At the ground, the height is 0, so the change in height, \Delta h when the plane reaches an altitude of 4,000 feet, is

\Delta h =4000-0=4000 feet

Now, from equation (i), the temperature drop

[tex]\Delta T= 4000 \times \frac {1.7}{1000}=6.8\;^{\circ}F.[/tex]

Hence, the temperature at an altitude of 4000 feet [tex]= 49.9-6.8=43.1 \;^{\circ}F[/tex].


Related Questions

2.08539251 rational or not ?

Answers

Answer:

Yes it is rational.

Step-by-step explanation:

Answer:

Rational I think

Step-by-step explanation:

Rational means it can be expressed as a fraction

Solve the Equation. You must show all your work. (3 pts. - 1 point for correct
answer. 2 points for correct work shown.
(You must show work for every step when you add subtract/multiply divide both
sides by a value).

Answers

4m+5-5=3m-5/2-5 subtract 5 from both sides
4m=3m-5/2-5
(2)4m=2(3m-5/2-5) get rid of the fraction
8m=2•3m-5/2-10 cancel out the denominator
8m=3m-5-10 combine like terms
8m=3m-15
8m-3m=3m-3m-15 subtract 3m from both sides
5m=-15
5m/5=-15/5 divide 5 from both sides and get your answer
m=-3

does anybody know how to solve this equation 5+3∣10−4x∣=20

Answers

x = 5/4   or   x = 15/4

Step-by-step explanation:

pls help ASAP i got only 5 minuts left

Answers

d if i’m not mistaken

8 times a number squared

Answers

Answer:

8 * x^2

Step-by-step explanation:

Answer:

yes yes yes 0982111111

HELP FAST !!! plzzzzz

Answers

Answer:

Flip the triangle around at the point Z

Step-by-step explanation:

The reason you need to flip the triangle at point Z is because, when reflecting, you need to reflect it over the line given. since the reflective line is x = 1, you reflect it off the line x of 1 or point (1,0). Also, when reflecting, the line of reflection will actually be perpendicular with the point given because, when reflecting, x = 1 means that all of the x coordinates on the line will equal 1. For example, your line would have to pass through the points (1,-4), (1,-2), (1,0), (1,2), so on so forth so in this statement, all of your points will be reflected over that line and since z is on that line, the triangle is just fliped at point z.

If the measure of the third angle of the triangle is 45 ​° more than three time the measure of either of the other two​ angles, find the measure of each angle of the triangle.​ (Recall that the sum of the measures of the angles of a triangle is​ 180°.)

Answers

Answer:

The first and second angles are 27° and the third angle is 126°.

Step-by-step explanation:

We have that the third angle (β) is 45° more than three times the measure of either of the other two​ angles (θ):

[tex] \beta = 45 + 3\theta [/tex]     (1)

Also, the sum of the measures of the 3 angles is 180°:

[tex] \beta + \theta + \theta = 180 ^{\circ} [/tex]   (2)

By entering equation (1) into equation (2) we have:

[tex] 45 + 3\theta + \theta + \theta = 180 [/tex]  

[tex] 5\theta = 180 - 45 [/tex]

[tex] \theta = 27 [/tex]

Hence, the third angle is:

[tex] \beta = 45 + 3\theta = 45 + 3*27 = 126 [/tex]                                  

Therefore, the first and second angles are 27° and the third angle is 126°.

I hope it helps you!

PLZ HELP EASY QUESTION
Are days and months capitalized in Spanish?
Yes
No

Answers

no, they are treated as regular nouns
Hey :)

No, they aren’t capitalised

Hope this helps :)

Simplify the expression.
74÷(32)

A. −218
B. 218
C. 76
D. −76

Answers

Answer:

Simplify the expression.

Exact Form:

37

16

Decimal Form:

2.3125

Mixed Number Form:

2

5

16

Which is the better buy, 6 bagels for $3.29 or 8 bagels for $4.15? Justify your answer.

Answers

Answer:

The better deal is  8 bagels for $4.15

Step-by-step explanation:

6 bagels for $3.29

3.29/ 6 = $.54833333 per bagel

8 bagels for $4.15

4.15/ 8 =$.51875 per bagel

The better deal is  8 bagels for $4.15

Answer:

buy 8 bagles

Step-by-step explanation:

because you can get more for less like if their were selling toy cars 4 for 2 and at the truth store it was 10 for 1 wich would you rather choose

Which fraction is greater than the fraction represented by the model? A circle divided into 8 equal parts. 3 parts are shaded. One-fourth StartFraction 7 over 16 EndFraction One-eighth StartFraction 3 Over 16 EndFraction

Answers

Answer:

7/16

Step-by-step explanation:

Just took the test! :)

Answer:lol i agree

Step-by-step explanation:

Describe the transformation
A) translation 2 units down
B) reflection across y=-1
C) reflection across the x-axis
D) across the y-axis

Answers

Answer:

C.

Step-by-step explanation:

SOMEONE HELP ME WITH THIS PLSSS ITS REALLY IMPORTANT IDK WHAT TO DO ​

Answers

A) 13
B) 23
C) -5
D) 5
E) 16
F) 7
G)8
H)4

In Diagram 1, the value of x is what?

Answers

Answer:

x = 18.75

Step-by-step explanation:

The angles are alternate interior angles and alternate interior angles are equal when the lines are parallel

3x-10 = 65-x

Add x to each side

3x-10+x = 65-x+x

4x-10 = 65

Add 10 to each side

4x-10+10 = 65+10

4x = 75

Divide each side by 4

4x/4 = 75/4

x = 18.75

i need help with this question. please help me.

Answers

Answer:

it cost $9.2972048

Step-by-step explanation:

Answer:

Coach brought 2 orders of fries to the table, and all three orders of fries cost him $6.


f(n)=2n+1
g(n)=3n
Find f(n)+g(n)

Answers

Answer:

[tex]\longrightarrow 5n+1\longleftarrow[/tex]

Step-by-step explanation:

[tex]f(n)=2n+1\\\\g(n)=3n\\\\f(n)+g(n)=?\\\\\longrightarrow (2n+1)\longleftarrow\\\\+\longrightarrow (3n)\longleftarrow\\\\f(n)+g(n)=2n+1+3n\\\\=(2n+3n)+1\\\\=(2+3)n+1\\\\=5n+1\longleftarrow \\\\\dagger[/tex]

Answer:

[tex]\boxed {\tt f(n)+g(n)=5n+1}[/tex]

Step-by-step explanation:

We want to find f(n) + g(n) . Basically, we have to find the sum of f(n) and g(n).

[tex]f(n)+g(n)[/tex]

We know that:

[tex]f(n)=2n+1\\g(n)=3n[/tex]

Therefore, we can substitute 2n+1 in for f(n) and 3n in for g(n)

[tex](2n+1)+(3n)[/tex]

Combine like terms. The terms 3n and 2n both have a "n" so they can be combined.

[tex](2n+3n)+(1)[/tex]

[tex](5n)+1[/tex]

[tex]5n+1[/tex]

f(n)+g(n) is equal to 5n+1

A freight train is traveling at an average rate of 45 miles per hour. Which equation represents the situation?the miles traveled.
m = 45h
h = 45m
m

Answers

Answer:

m=45

Step-by-step explanation:

I hour travels 45 minutes

Answer:

m=45h

Step-by-step explanation:

your welcome

Convert the number to scientific notations 89,970,303,001=

Answers

[tex]8.9970303001 \times 10^{10} [/tex]


[tex]m6 + 64n6[/tex]

Answers

the answer is 6(m+64n)

Ricardo works in the marketing department of a game design company. His boss has offered to bonus the entire department of their average monthly game sales for March through July have been 4,567,5430,3998,5,220,and 4,906 respectively. How many games must they sell in august to earn the bonus.

Answers

Answer:

Approximately 4824 games

Step-by-step explanation:

Given that the sales made are 4,567 ,5430, 3998, 5,220,and 4,906

the average is (4567+5430+3998+5220+4906)/5

=24121/5

=4824.2

in the month of august let the sales be x

average= (4567+5430+3998+5220+4906+x)/6

the average for march to july is 4824.2

4824.2= (4567+5430+3998+5220+4906+x)/6

24121+x=4824.2*6

24121+x=28945.2

x=28945.2-24121

x=4824.2

approximately 4824 games

Help needed ASAP will give brainliest AND 5 STARS RATE not a real test

Answers

2 - 300 calories

3 - 1260 calories

6 - 20g

7 - 70mg

Kathy ran the 400-meter dash in 60.48 seconds. She ran the 200 meter dash in 28.9 seconds.If she divided her 400-meter dash time in 8 equal time segments, how long would it take cathy to run one of these segments Please HELPPP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

Kathy would take 7.56 seconds to run each of the 8-time segments of the 400-meter dash.

Step-by-step explanation:

Kathy ran the 400-meter dash in 60.48 seconds, so if she now divided that time into 8 equal time segments we have:

[tex] t = 60.48 s [/tex]

By dividing the above equation into 8:

[tex] t = \frac{60.48 s}{8} = 7.56 s [/tex]

Hence, she would take 7.56 seconds to run each of the 8-time segments of the 400-meter dash.

I hope it helps you!


7+ (-5)+(-2)=0
7+ (5)+(2)=0
7+(-4)+(-3)=0
7+(-6)+(-1)=0

Answers

Answer:

1. true

2. false

3. true

4. true

x2 + 45x = -200 Using the quadratic formual and the discirimnat

Answers

Answer:

Positive discriminant = 2 real solution

x= -5,-40

Step-by-step explanation:

The discriminant is used to see how many solutions an equation has. If it is negative, the equation has no real solutions, if =0 the equation has 1, and if it is positive, the equation has two real solutions.

The discriminant is the part of the quadratic formula inside the square root:

[tex]b^{2}-4ac[/tex]

Every quadratic formula has the structure:

[tex]ax^{2} +bx+c=0[/tex]

So first, in order to meet this structure we need to add 200 to both sides so the equation is equal to 0. This gives us:

[tex]x^{2} +45x+200=0[/tex]

Our a=1, b=45 and c=200

Now we can substitute these values into the discriminant:

[tex](45)^{2} -4(1)(200)[/tex]

Solve:

[tex]2025-800=1225[/tex]

The discriminant is a positive number which means this equation will have 2 real solution. Now we just need to plug in our values into the quadratic formula to solve this equation. Quadratic formula:

[tex]x=\frac{-+/-\sqrt{b^{2}-4ac} }{2a} \\x=\frac{-45+/-\sqrt{1225} }{2}[/tex]

(Same discriminant value)

[tex]x=\frac{-45+/-35}{2}[/tex]

Now to find the two solutions, we use both signs in the equation. Solution 1:

[tex]x=\frac{-45+35}{2}[/tex]

[tex]x=\frac{-10}{2}=-5[/tex]

Our first solution is -5, now for the second:

[tex]x=\frac{-45-35}{2}\\\\ x=\frac{-80}{2}=-40[/tex]

The two solution to this equation are -5 and -40.

Hope this helped!

Gail Martinez is employed at My Best Books. She has family medical coverage through the group medical plan that My Best Books provides for its employees. The annual cost of Martinez's family membership is $3,900. The company pays 50% of the cost. How much does she pay annually for medical insurance? *

Answers

Answer:

$1850

Step-by-step explanation:

The annual cost of Martinez's family membership for medical insurance is $3,900.

The company pays 50% of the cost.

So, the cost paid by the company= 50% of $3,900.

[tex]=\frac {50}{100}\times 3900=\$1850[/tex]

The remaining cost for the family medical insurance must be paid by Gail Martinez.

So, the annual payment by her =$3900-$1850=$1850

Hence, she pays $1850  annually for medical insurance.

a plus zero equals a is an example of which addition property ​

Answers

Answer

:Identity Property of Addition

Step-by-step explanation:

Which inequality is true? A number line going from negative 3 to positive 3 in increments of 1. StartFraction 5 Over 6 EndFraction less-than negative one-third 2 and one-third greater-than 2 and one-sixth 2 less-than negative 2 and one-half 1 and one-fourth greater-than 1 and one-third

Answers

The inequality is true.

Inequality is one that leads to unequal or biased outcomes and is an unjust distribution of resources and opportunities. It leads to an increased resolution of the opportunities and resources. Has a socio and political-economic structure.

Thus the answer is 3 to +3 in increments of 1 5/6 to -1/3 21/3 >21/6.

The inequality makes the comparisons between no. or the expressions in the terms of greater or less depending on how numbers are arranged on the number line.A number line that is going from the negative 3 to positive 3 and is in increasing order. The second one shows the positive value of 5/6 towards decreasing and a negative value of the -1/3 hence is also correct The third one depicts the 2 and one-third greater than 2 and one half.Hence the option 1, 2, and 3 are true.

Learn more about the inequality is true.

brainly.com/question/19366916.

Answer:

i have a feeling it is b

Step-by-step explanation:

please help will mark as Brainliest ​

Answers

Answer: Choice D

f(n) = 4*(3)^(n-1)

f(5) = 324

=======================================================

Explanation:

Look at the y coordinates: {4, 12, 36, 108}

This is a geometric sequence with starting term a = 4 and common ratio r = 3. You start with 4 and multiply by 3 to generate each term

4*3 = 12

12*3 = 36

36*3 = 108

The nth term of the geometric sequence is

f(n) = a*(r)^(n-1)

f(n) = 4*(3)^(n-1)

Now plug in n = 5

f(n) = 4*(3)^(n-1)

f(5) = 4*(3)^(5-1)

f(5) = 4*(3)^(4)

f(5) = 4*81

f(5) = 324

Or you could multiply the last term in {3,12,36,108} by the common ratio 3 to get 108*3 = 324 as the fifth term.

HELP ME PLZ ILL GIVE YOU EXTRA POINTS IF U GET IT RIGHT

Answers

Step-by-step explanation:

I used my calculator, so they should be correct.

You need at least 30 cubic feet of sand to fill a sand box. Each box contains 2.5 cubic feet of sand. Write and solve an inequality that represents the number of bags “b” that you need to buy

Answers

Answer:

2.56 = 30

b = 12

(Sorry if I’m wrong! I speeded on it.)

Step-by-step explanation:

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