Challenge An airplane is preparing to land at an airport. It is 36,000 feet above the ground and is descending at the rate of 3,200 feet per minute. At the same airport, another airplane is taking off and will ascend at the rate of 2,800 feet per minute. When will the two airplanes be at the same altitude and what will that altitude be? Use pencil and paper. Use two other methods to solve the problem. Explain which methods are easier to use and which are more difficult to use for the situation
They will be at the same altitude in _ minutes, when their altitude will be _ feet.
Answers
Answer:
6 seconds., 16800 feet
Step-by-step explanation:
The first plane is going y = -3200x + 36000
The second plane is going y = 2800x
Substitute the second equation for y into the first one:
2800x = -3200x + 36000
6000x = 36000 (Add 3200x to both sides)
x = 6 (Divide each side by 6000)
That means they will be the same altitude at 6 minutes.
To find how high, put your answer into one of the equations.
y = 2800 (6)
y = 16,800 feet
Related Questions
Find the value of x
3x = 9²
Answers
[tex]\huge\boxed{Hi\:there!}[/tex]
[tex]\huge\sf{3x=9^2}[/tex]
[tex]\huge\sf{3x=81}[/tex]
[tex]\huge\sf{Divide\:both\:sides\:by\:3\:to\:isolate\:x:}[/tex]
[tex]\huge\sf{x=27}[/tex]
[tex]\huge\boxed{Hence,\:x=27.}[/tex]
[tex]\huge\sf\underline{Hope\:it\:helps}[/tex]
[tex]\boxed{CheerfulGirlie\:here\:to\:help}[/tex]
Find the value of x
3x = 9²
Answer:-x = 27
Explanation:-=> 3x = 9²
=> 3x = 81 [9² = 9×9 = 81]
=> x = 81/3
=> x = 27
Linda took her son to the batting cages. For the first 5 minutes she paid $10 and for
each additional minute she paid $.50. If Linda, paid $22 for her son to go to the batting
cages, how much time were they there for?
Answers
Answer:
29 minutes
Step-by-step explanation:
Can you calculate problems involving percent? pls help i WILL make as brainlyst pls i dont wanna fail
Answers
Answer:
45 is 150% of 30.
Step-by-step explanation:
To find what percent of 30 is 45 first we must turn it into a fraction and simplify.
fraction form: 45/30
simplified fraction form: 3/2
now to find percent you have to put a number over one hundred.
3/2 = ?/100
Right now our denominator is 2. By what number can we multiply 2 to get to 100? The answer is 50.
Now that we have multiplied the denominator by 50, we also have to multiply the numerator (3) by fifty. 3 x 50 = 150
so now we put the new numerator and denominator together and get 150/100
The answer is 150%
Helppppppppppppppppp
Answers
[tex]\huge \tt༆ Answer ༄[/tex]
The respective terms used for the lines are ~
a.) Line a = Tangent b.) Line b = Radius c.) Line c = Diameter d.) Line d = SecantStep-by-step explanation:
a is tangent
b radius
c diameter
d chord
X - 5V + 17 = 0 2x+ V + 1 = 0
Answers
Answer:
x= -[tex]\frac{10}{3}[/tex], v = [tex]\frac{7}{3}[/tex]
Step-by-step explanation:
x= - 10/3, v = 7/3
jus so u want to copy so u don't have to type ur self
To make a sports drink, Tommy puts 2 liters of water in a pitcher along with 4 ounces of sports drink additive. How much liquid is now in the pitcher, in ounces?
1 liters = 33.81 ounces
Answers
Answer:
71.62
Step-by-step explanation:
2 liters = 2(33.81) ounces or 67.62 oz
4 more ounces were added
new total is 71.62 oz
three teachers have purchased candy for a school carnival. each bag of candy weigh is 1 1/4 pounds
Answers
Answer:
3 * 1.25 = 3.75
Step-by-step explanation:
3.75 also equals 3 3/4
а 5. Protein Bar A has 15 grams of protein in
a 40 gram bar. Protein Bar B has 20 grams of protein in a 60 gram bar. Which bar has more protein per gram?
Answers
if a customer spent $60, how many people did they buy food and beverages for?
Answers
This is a 45-45-90 triangle.
What is the measure of x?
Х
14
Х
x = [?]V
Answers
Answer:
x = 14[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Since the triangle is 45- 45- 90 then it is isosceles with the 2 legs being congruent, both 14
Using Pythagoras' identity in the right triangle
x² = 14² + 14² = 196 + 196 = 392 ( take square root of both sides )
x = [tex]\sqrt{392}[/tex] = [tex]\sqrt{196(2)}[/tex] = [tex]\sqrt{196}[/tex] × [tex]\sqrt{2}[/tex] = 14[tex]\sqrt{2}[/tex]
Select the point - slope form of the line
Select one:
a.
y − y1 = m ( x − x1 )
b.
ax + by + c = 0
c.
x / a + y / b = 1
d.
y = mx + b
Answers
Answer:
y − y1 = m ( x − x1 )
Step-by-step explanation:
Point slope form would include a slope 'm' and a point (x1, y1).
The first option is the general formula for point-slope form.
B is standard form for a straight line (it can also be Ax + By = C)
C is intercept form.
D is slope-intercept form.
Hope this helps.
Determine if 0.929229222922229222229... is rational or irrational and give a
reason for your answer.
Answers
Answer:
It is irrational.
Hope you could get an idea from here.
Doubt clarification - use comment section.
can someone help me for this?
Answers
Answer:
500000N=2m
x. =6m
cross multiply, it'll be
6×50000÷2
=150,000N
does 12 11 and 7 make a right triangle
Answers
Answer: no
Step-by-step explanation: hope it helps
write the equation of a line that passes through the points (-7,-4) and (-5,-6)
Answers
Answer:
y=-x-11
Step-by-step explanation:
23.
Find the next three terms of the arithmetic sequence. 19, 24, 29, 34, ...
Answers
Answer:
39, 44, 48
Step-by-step explanation:
Add 5 to the following terms.
Please mark me as the Brainliest, Thank you!
I’m getting really stuck on these questions, help?
Answers
Answer:
m<-1 and 13/15
Step-by-step explanation:
what is the probability
Answers
Answer:
1/4
Step-by-step explanation:
the probability on getting blue on spinner is 1/2
1/2 x 1/2 =1/4
Find an ordered pair (x, y) that is a solution to the equation 3x-y=4
Answers
Answer:
(0,-4)
Step-by-step explanation:
3(0) - (-4) = 4
0 + 4 = 4
Let f be a differentiable function. If h (x) = (2+ f (sin x))", which of the following gives a correct process for finding h' (x) ?
Answers
Answer:
[tex]\displaystyle h'(x) = \cos (x) f'(\sin x)[2 + f(\sin x)]'''[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationDerivative Property [Addition/Subtraction]: [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]
Derivative Rule [Basic Power Rule]:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Derivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Step-by-step explanation:
Step 1: Define
Identify.
[tex]\displaystyle h(x) = [2 + f(\sin x)]''[/tex]
Step 2: Differentiate
Derivative Rule [Chain Rule]: [tex]\displaystyle h'(x) = [2 + f(\sin x)]''' [2 + f(\sin x)]'[/tex]Rewrite [Derivative Property - Addition/Subtraction]: [tex]\displaystyle h'(x) = [2 + f(\sin x)]''' \bigg[(2)' + [f(\sin x)]' \bigg][/tex]Derivative Rule [Basic Power Rule]: [tex]\displaystyle h'(x) = [2 + f(\sin x)]''' [f(\sin x)]'[/tex]Derivative Rule [Chain Rule]: [tex]\displaystyle h'(x) = [2 + f(\sin x)]''' f'(\sin x)(\sin x)'[/tex]Trigonometric Differentiation: [tex]\displaystyle h'(x) = \cos (x) f'(\sin x)[2 + f(\sin x)]'''[/tex]From here, if you would like, you can take the 3rd derivative of the last piece.
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
how to find the side of a triangle given one side and one angle calculator
Answers
Answer:
Check below :)
Step-by-step explanation:
If you are asked to find a side of a triangle using a given side and an angle. You should check if it is a right-angled triangle, if it is then you can use the SOH, CAH, TOA which uses the formulae as shown:
sinΘ= [tex]\frac{opposite}{hypotenuse}[/tex]
cosΘ= [tex]\frac{adjacent}{hypotenuse}[/tex]
tanΘ= [tex]\frac{opposite}{adjacent}[/tex]
(Search them online for detailed explanation about trigonometry on right-angled triangles)
If it is not right-angled triangles, you need to double-check if there is another side given or angle given to use the sine rule or cosine rule
Sine rule: 2 angles and opposite side/ 2 sides and opposite angle
Cosine rule: involves 3 sides and one angle
See the picture first, thank you.
QUESTIONS::
1. Does each graph represent a linear function? Why?
2. What is the domain of the first graph? second graph?
3. What is the range of the first graph? second graph?
Answers
Answer:
1. yes, both lines are straight
2. domain: (-∞ ∞)
3. range: (-∞ ∞)
In a litter of 7 kittens, each kitten weighs less than 3.5 ounces. Find and graph all the possible combined weights of the kittens.
Answers
Answer:
Step-by-step explanation:
24.5 just multiply hope that helpss
Combine the like terms to create an equivalent expression:
-k+3k
Answers
Answer:2k
Step-by-step explanation:
-k+3k
-1k+3k
(-1+3)k
2k
Answer:
2k
Step-by-step explanation:
-k is the same as -1k so you can just solve it like that. Also, when adding terms with variables you just add the number in front (if they have the same variable). So -1k + 3k = 2k. Pretty much the same as -1 + 3, you just add a variable..
1. The teacher assigns homework after 7/10
of the lessons
A) unlikely
B) likely
C) certain
D) equally likely
Answers
Answer:
B) Likely
Step-by-step explanation:
Unlikely = < 50%
Likely = > 50%
Certain = 100%
Equally likely = 50%
find an ordered pair that represents the vector from (-3.7, 2) to (-4, -5)
Answers
The area of a rhombus is 40 sq cm and one of its diagonals is 8 cm long. Find the length of the other diagonal.
Answers
Answer: The length of the other diagonal is 10 cm...
So the diagonal formula is - 1/2* (d1*d2) d1 is the first diagonal and d2 is the second diagonal.
So,
1/2 * (8*d2) = 40
8d2= 40*2
d2= 80/8
d2= 10
how do i solve this
Answers
Answer:
m <E = 134
Step-by-step explanation:
Triangle DEF looks like an isosceles triangle to the base angles are the same measure.
6x+11 = 10x+3
Subtract 11 from both sides
6x = 10x-8
Subtract 10x from both sides
-4x = -8
Divide -4 from both sides
x = 2
Substitute 2 into both equations to make sure it works
6 (2) + 11
12+11
23
10 (2) +3
20+3
23
Both angles equal 23 degrees.
Now subtract both angles from the total angle measure of 180.
180-23-23=134
PLEASE PLEASE HELP IM TIMED!! Just look at the picture
Answers
You can just round up 6.75 -> 7 and 1.67->2
Simplify using combining like terms: 3a + 6 + 2a - 8
Answers
Answer:
a = 2
Step-by-step explanation:
Simplifying
3a + 6 = 2a + 8
Reorder the terms:
6 + 3a = 2a + 8
Reorder the terms:
6 + 3a = 8 + 2a
Solving
6 + 3a = 8 + 2a
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '-2a' to each side of the equation.
6 + 3a + -2a = 8 + 2a + -2a
Combine like terms: 3a + -2a = 1a
6 + 1a = 8 + 2a + -2a
Combine like terms: 2a + -2a = 0
6 + 1a = 8 + 0
6 + 1a = 8
Add '-6' to each side of the equation.
6 + -6 + 1a = 8 + -6
Combine like terms: 6 + -6 = 0
0 + 1a = 8 + -6
1a = 8 + -6
Combine like terms: 8 + -6 = 2
1a = 2
Divide each side by '1'.
a = 2