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La relación entre la temperatura del aire T (en º F) y la altitud h (en metros sobre el nivel del mar) es lineal para los primeros 20.000m. Si la temperatura a nivel del mar es de 60º F y por cada 5.000 m de altitud que se sube, la temperatura del aire baja 18º F. La temperatura del aire a una altitud de 15000 m es
Answer:
La temperatura del aire a una altitud de 15000 metros sobre el nivel del mar es -66 ºF.
Step-by-step explanation:
Dada la relación de linealidad, construimos una función lineal de la temperatura del aire en función de la altitud con respecto al nivel del mar, la cual es:
[tex]T(h) = T_{L} + \frac{T_{H}-T_{L}}{h_{H}-h_{L}} \cdot h[/tex], [tex]0\,m \leq h \leq 20000\,m[/tex] (Eq. 1)
Donde:
[tex]T_{L}[/tex] - Temperatura del aire a nivel del mar, medida en grados Fahrenheit.
[tex]T_{H}[/tex] - Temperatura del aire a determinada altitud, medida en grados Fahrenheit.
[tex]h_{L}[/tex] - Altura del nivel del mar, medida en metros.
[tex]h_{H}[/tex] - Altura determinada, medida en metros.
[tex]h[/tex] - Altitud con respecto al nivel del mar, medida en metros.
[tex]T(h)[/tex] - Temperatura del aire a una altitud con respecto al nivel del mar, medida en grados Fahrenheit.
Si sabemos que [tex]T_{L} = 60\,^{\circ}F[/tex], [tex]T_{H} = 18\,^{\circ}F[/tex], [tex]h_{L} = 0\,m[/tex], [tex]h_{H} = 5000\,m[/tex] y [tex]h = 15000\,m[/tex], la temperatura del aire a esa altitud es:
[tex]T(15000\,m) = 60\,^{\circ}F + \frac{18\,^{\circ}F-60\,^{\circ}F}{5000\,m-0\,m} \times 15000\,m[/tex]
[tex]T(15000\,m) = -66\,^{\circ}F[/tex]
La temperatura del aire a una altitud de 15000 metros sobre el nivel del mar es -66 ºF.
Which of the following is a solution of the equation 9 - 2x = -1?
1) -4
2) 5
3) 4
4) -5
Answer:
Answer should be 5
Step-by-step explanation:
Rachel, John, and Manuel have a total of $73 in their wallets. John has 3 times what Manuel has. Rachel has $7 less than Manuel. How much does each have?
ATQ
[tex]\\ \sf\longrightarrow x+3x+x-7=73[/tex]
[tex]\\ \sf\longrightarrow 5x-7=73[/tex]
[tex]\\ \sf\longrightarrow 5x=80[/tex]
[tex]\\ \sf\longrightarrow x=16[/tex]
Manuel=16$Rachel=9$John=48$Sanjay has 35 pens and Mohan has 40 pens. These two, along with four other friends, collect their pens together. If Sanjay takes back his pens, the average number of pens with the rest of them is 20. What will be the average number of pens with the rest of them, if Mohan also takes back his pens?
"First, you have 35 total pens in the box. 15 are green. to find how many red pens you need to find the difference between 35 and 15 to get how many red pens there are. (35-15= 20) Therefore, there are 20 red pens. The ratio needs to be green pens to red pens. So, there is 15 green and 20 red ( 15/20 or 15:20) Simplify that by 5 and you get 3/4 or 3:4. "
if 4 friends eat 4 cakes in 4 days then how many cakes will 10 friends eat in 10 days
Answer:
If four friends can eat four cakes in four days, then four friends will eat an average of one cake per day, so each friend will be able to eat 1/4 of a cake per day.
So 10 friends will eat 10/4 of cake per day, or two and a half cakes per day, so they will eat 2,5 * 10 = 25 (twenty-five) cakes per 10 days, assuming they will eat at the same rate
Step-by-step explanation:
Branily?
Give the coordinates of each vertex (D, E, F) and explain how you found the coordinates using transformation rules.
Step-by-step explanation:
We have that the vertices of triangle ABC are:
A(4, 2)
B(7, 9)
C(7, 2)
First, we are reflecting over the y axis, which makes (x,y) map onto (-x, y). This gives us:
A'(-4, 2)
B'(-7, 9)
C'(-7, 2)
Then, we translate 5 units down, meaning we subtract 5 from each of the y coordinates. This gives us a final answer of:
D(-4, -3)
E(-7, 4)
F(-7, -3)
 11 more than twice a number
use the variable N to represent that
Answer:
2n + 11
Step-by-step explanation:
You have twice an unknown number n, and you're going to want to have 11 more than that. So you will have 2 x n + 11 or 2n + 11.
Find the area; reduce to lowest terms: Length: 3 2/3 feet; Width: 1/4 feet
Answer:
11/12 square feet
Step-by-step explanation:
The area is the product of length and width. Multiplication of mixed numbers is often easily done by converting to improper fractions.
A = LW
A = (3 2/3 ft)(1/4 ft)
A = (11/3)(1/4) ft² = 11/12 ft²
The area is 11/12 square feet.
3x−y=22y=x−14
Enter your answer in the box.
y =
Answer:
y= 2.1
Step-by-step explanation:
I use a Graphing Calculator called Desmos. I suggest you try it.
Find A Cost of 5 jeans
a.) $230
b.)223
c.)200
d.)250
Answer:
46,44.6,40,50
Step-by-step explanation:
230/5=46
223/5=44.6
200/5=40
250/5=50
how to solve and answer
Answer:
if they tell you to find for example (x,y) it simply means that the straight line ------- is X while the |||||| is y so an example would be -5,-3 X come first so...
Step-by-step explanation:
the answer is (-5,-3)
I don't know what the answer is, please help me. ty!!!
She can grow 4 plants because 10/2.5 is equal to 4. So, the answer is 4 plants. Hope this helped.
Clare’s aunt used a credit card to pay $42 for an outfit. Six weeks later, the credit card company charged her 2% interest.
a. How much is the 2% interest?
b. How much will Clare’s aunt have to pay in total?
Answer:
0.84$ and 42.82$
Step-by-step explanation:
2% is equivalent to 2/100
So, 42$ x [tex]\frac{2}{100}[/tex] = 84/100 = 0.84$ (the 2% interest)
And the total the aunt has to pay equals to = 42$ + 0.84$ =42.84$
this is the graph of y = -x²- 4x - 7 what is the range of this function
Answer:
the range for this function would be (−∞,−3],{y|y≤−3}
Jennifer wants to find the area of a parallelogram.
She decomposes the parallelogram and rearranges
the parts to form a rectangle of equal area, as shown below.
Which equation can be used to find
the area of the parallelogram? show work and evidence pls and ty
6(3.6) = 21.6 cm2
2(3.6) + 2(6) = 19.2 cm2
6(3 + .63) = 39.6 cm2
6(3) = 18 cm2
6(3) = 18 cm²
Step-by-step explanation:
area of parallelogram : base * height
Here:
base: 6 cmheight: 3 cmarea of parallelogram:
6 * 3
18 cm²
Help Anyone???
A box is shaped like a rectangular prism. The box is 3 ft long, 2 ft tall, and 4 ft wide.
What is the surface area of the box?
Answer:
The total surface area would be 52 square feet
Step-by-step explanation:
2 ( 3*2+ 2*4+3*4)
Answer:
Step-by-step explanation:
Laurie saw some stray cats in her backyard. She put out some water and a bowl with 3 cups of food. The cats drank all the water and ate half of the food. How many ounces of food did the cats eat?
Answer:
12
Step-by-step explanation:
1 cup = 8 ounces.
In total, there are 3 cups of food.
So, we do 3 × 8 which would equal 24.
24 ÷ 2 = 12.
12 is half of all the food Laurie gave to the stray cats
Therefore, 12 is the correct answer.
-kiniwih426
Jayreece ran 2 miles in
about 23 minutes. If he
continues at this pace,
how long will it take him
to run a half marathon
(13 miles)?
Answer:
149.5 minutes
Step-by-step explanation:
first you'll wanna take 23 divided by 2 which will be 11.5
next you multiply 11.5 by 13
OK I NEED HELP LIKE BADLY so, Jackie ordered a set of wood and metal clothes pins. Of the 276 pins, 172 were wood. What percentage of the clothes pins were wood? Round to the nearest hundredth
The perimeter is 60 cm long how long is one side of the square
Answer:
15cm
Step-by-step explanation:
All you need to do for this is divide the perimeter (60) by the number of sides on a square (4). 60÷4=15
Answer:
[tex]15[/tex]
Step-by-step explanation:
Square perimeter is
[tex]P=4s[/tex]
Solving for [tex]s[/tex] we get
[tex]s=\frac{P}{4}[/tex]
So we have
[tex]s=\frac{60}{4}[/tex]
[tex]s=15[/tex].
(Whoever answers correctly will get titled brainiest, preferably with an explanation behind in the next 24 hours)
Answer:
C=2
X=6
W=18
It is done by using power law and negative index law .
HOPE IT HELPS YOU :)
Answer:
c = 2
w = 18
x = 9
Step-by-step explanation:
When you have a power raised to a power, you multiply the exponents. If there are more than one term that are multiplied together, that exponent needs to go to both of the terms.
Also, if you have a negative exponent, you can change the sign of it by pushing that term across the fraction bar. see image.
How many ways can the letters A, C, H, S be arranged into 3-letter strings if letters cannot be repeated?
if m∠TUV=(9x+11)°, m∠TUW=(7x-9)°, and m∠WUV=(5x-11)°, find the value of x.
Answer: X = 9
Step-by-step explanation:
We know that a triangle has 3 angles that add up to 180 degrees.
9x+ 11 + 7x - 9 + 5x - 11 = 180
21x - 9 = 180
21x = 189
x = 9
The local grocer unpacked 34 pounds of apples and pears. The apples came in 7-1b
bags and the pears came in 2-lb bags. In all, he unpacked 7 bags of fruit. How many
bags of apples and pears did he unpack?
3 apple and 4 pear
2 apple and 5 pear
5 apple and 2 pear
4 apple and 3 pear
Answer:
last one
Step-by-step explanation:
i did 7x4 for the apples, then added 2x3 for the pears and got 34 in total.
You spend 5/2 hours practicing the piano each day for 3 days. Your friend spends hours practicing the piano each day for 4/3 days. Who spends more time practicing the piano?
Answer:
pp
Step-by-step explanation:
Answer:
you spend more time
Step-by-step explanation:
4/3 is 1 1/3 or 1.33 repeated
5/2 is 2 1/2 or 2.5
Which of the x values are solutions to the inequality 4(2-x)>-2x-3(4x+1)? Check all that apply.
X=-1.1
X=-2.2
X=0
X=-10
X=10
Answer:
[tex]x =0[/tex] and [tex]x=10[/tex]
Step-by-step explanation:
Answer:
I'm terrible at explaining so here's a screenshot
- Ripper
Step-by-step explanation:
Price is $20.00 Sales Tax is 4% What is the total cost?
Answer:
0.8
Step-by-step explanation:
first i did 4% of 20 and got 0.8
Answer .60
Step-by-step explanation:
The mean number of boxes of cookies sold by
each girl scout in Emma's troop was 28 with a
standard deviation of 8. If Emma's z-score
was -1. 5, how many boxes of cookies did she
sell?
Answer:
149
Step-by-step explanation:
wow
An article is marked to sell at Rs.1300;if 10% discount is allowed,find the discount amount and selling price.
Answer:
discount amount=Rs. 130
selling price=Rs. 1170
Step-by-step explanation:
discount amount=10%of Rs.1300
=10/100*1300
=1300/10
=Rs. 130
selling price=MRP-discount amount
=1300-130
=Rs. 1170
Abdeza bought four Indian tacos. Her sister bought five more. How many people could they feed with everyone got 12 of an Indian taco?
Answer: None you have 9 tacos or 0.7 you could say
Step-by-step explanation: