A jet, cruising at 26,400 feet, begins its descent into JFK Airport, when it is 96 miles away. Another jet, cruising at 31,680 feet, is 120 miles from JFK when it begins its descent. Which of these two paths of descent is steeper? Is a linear model reasonable to use in this situation? Explain.
9514 1404 393
Answer:
first jet is steeper; not unreasonable
Step-by-step explanation:
The slopes in feet per mile for the two jets are ...
(26,400 ft)/(96 mi) = 275 ft/mi
(31,680 ft)/(120 mi) = 264 ft/mi
The descent of the first jet is steeper.
__
The path a jet will follow depends on a number of factors, including weather and other air traffic. It is not unreasonable for a jet to follow a linear glide path to an airport from these altitudes and distances. JFK is sufficiently busy that air traffic control may dictate other-than-linear descent paths.
Final approach is typically done on a 3° glide slope, about 277 ft descent per mile.
_____
Additional comment
Studies have been done to test the feasibility of linear descent paths into some of the busiest airports in the world. The conclusion is that fuel burn could be improved and air traffic management made simpler by such flight paths. However, current jet autopilots are not equipped for direct input of such flight routes. Pilot workload would be slightly increased until software could be updated. There appears to be no current plan to change the way terminal area control is done.
Solve these simultaneous equations:
2x + 4y = 38
7x - 4y =7
Answer:
Step-by-step explanation:
Answer:
x=5, y=7
Step-by-step explanation:
2x+4y= 38
+7x-4y= 7
9x= 45
9x/9= 45/9
x=5
2x+4y=38
2(5)+4y= 38
10+4y= 38
-10 -10
4y= 28
4y/4= 28/4
y=7
PLZ HELP IF ITS CORRECT I WILL MARK U BRAINLIEST
Answer:
The answer is 45
Step-by-step explanation:
First, you find what is half of 30 by dividing 30 by 2
30/2 = 15
Then you add 15 to 30 since you have to increase it by 1/2
30 + 15 = 45
I hope this helped and have a great day!
Please please please help *URGENT*
Answer:
1 = Communative property of addition
2 = distribution property
3 = Associative property of multiplacation
4 = Communative property of multiplacation
5 = Associative property of addition
Hope this helps! :) Please Ignore my bad spelling
Also, if you think this explanation is good, please mark it brainliest! It would help a lot! Thanks!
1.6 × 10^6 ÷ 4.8 × 10^5. Give your answer as a mixed number
Answer:
(10^11)/3
10^6 x 10^5 = 10^11
8/5 x 5/24 = 1/3
so multiply 10^11 and 1/3 together
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
C
Step-by-step explanation:
250 represent the amount of money that they started off with
1.05 represent how much the money in the account is increasing by
and x represent the amount of months that have passed
Simplify the polynomials. : 27. 97 + 47+ n
Answer:
74.97+n
Step-by-step explanation:
We need to simplify the given polynomial i.e.
27.97 + 47+ n
Here, n is a constant number
Firstly we add 27.97 and 47 such that,
27.97 + 47+ n = 74.97+n
Hence, the simplified form is 74.97+n.
24m-²n x 1/4mn
please need help
Answer:√ 25
log
13 ( 28 )
√ 75
Step-by-step explanation:
HELPPPPPPP ASAP BRAINLIEST FOR CORRECT ANSWER
Answer:
12
Step-by-step explanation:
12*6.5=78
44-12=32
32*4=128
128+78=206
.necesito resolver estas operaciones con factorial ayuda por favor
- A= (4ǃ+2ǃ+3ǃ)/(3ǃ+2ǃ)
2. (6ǃ-4ǃ)/2ǃ
2ǃx3ǃx4ǃ/(5ǃ+4ǃ)
R = 10ǃx8ǃ/(6ǃ+5ǃ)
((x+5)ǃ(x+3)ǃ)/((x+4)ǃ+(x+3)ǃ)=6ǃ
Answer:
A. 4
B. 348
C. 2
D. 174182400
E. x = 2
Step-by-step explanation:
Given - A= (4ǃ+2ǃ+3ǃ)/(3ǃ+2ǃ)
B = (6ǃ-4ǃ)/2ǃ
C = 2ǃx3ǃx4ǃ/(5ǃ+4ǃ)
D = 10ǃx8ǃ/(6ǃ+5ǃ)
E - ((x+5)ǃ(x+3)ǃ)/((x+4)ǃ+(x+3)ǃ)=6ǃ
Proof -
A.
(4! + 2! + 3! )/ (3! + 2!) = [4×3×2! + 2! + 3×2!] / [3×2! + 2!]
= 2! [ 4×3 + 1 + 3] / 2! [3 + 1]
= [12 + 1 + 3] / [4]
= [16] / [4] = 4
⇒(4! + 2! + 3! )/ (3! + 2!) = 4
B.
(6ǃ-4ǃ)/2ǃ = [6×5×4! - 4!] / 2!
= 4! [6×5 - 1] / 2!
= 4×3×2! [ 30 - 1] / 2!
= 12 [29] = 348
⇒(6ǃ-4ǃ)/2ǃ = 348
C.
2ǃx3ǃx4ǃ/(5ǃ+4ǃ) = 2!×3!×4! / [ 5×4! + 4!]
= 2!×3!×4! / 4! [ 5 + 1]
= (2×1) × (3×2×1) / 6
= 12 / 6 = 2
⇒2ǃx3ǃx4ǃ/(5ǃ+4ǃ) = 2
D.
10ǃx8ǃ/(6ǃ+5ǃ) = 10!×8! / [ 6×5! + 5!]
= (10×9×8×7×6×5×4×3×2×1) ×(8×7×6×5!) / 5! [6 + 1]
= (10×9×8×7×6×5×4×3×2×1) ×(8×7×6) / [7]
= (10×9×8×7×6×5×4×3×2×1) ×(8×6)
= 174182400
⇒10ǃx8ǃ/(6ǃ+5ǃ) = 174182400
E.
((x+5)ǃ(x+3)ǃ)/((x+4)ǃ+(x+3)ǃ)=6ǃ
[(x+5)(x+4)(x+3)! (x+3)!] / [ (x+4)(x+3)! + (x+3)! ] = 6!
[(x+5)(x+4)(x+3)! (x+3)!] / (x+3)! [ (x+4)+ 1] = 6!
[(x+5)(x+4)(x+3)! / ( [ x+ 5 ] = 6!
(x+4)(x+3)! = 6!
(x+4)! = 6!
x+ 4 = 6
x = 6 - 4
x = 2
Note :
x! = x(x-1)(x-2).......(4)(3)(2)(1)
PLZZZ HELP 25 POINTS HERE PLZZZ HELP
Answer:
Step-by-step explanation:
The first one is a wide U above the X axis.
The second one is an upside down U below the X axis.
The third one is a narrow U above the X axis.
The center of the U should always be the origin.
Answer:
Step-by-step explanation:
Joe drinks 10 liters of water every week. There are approximately 19 liters in 5 gallons. How many gallons of water would Joe drink in 3 weeks? (round to nearest whole number for answer, there are 2 steps to this problem first set up proportion)
Answer:
8gallons
Step-by-step explanation:
If Joe drinks 10 liters of water every week, then;
10liters = 1 week
After 3weeks;
x litres =3 weeks
Divide both expressions
10/x = 1/3
x = 3*10
x = 30litres
This means he consumes 30litres in 3 weeks
If there are approximately 19 liters in 5 gallons, the;
19litres = 5gallons
To determine the number of gallons consumed in 3 weeks;
30litres = y
Divide both expressions
19/30 = 5/y
Cross multiply
19 * y = 30*5
19y = 150
y = 150/19
y = 7.89
y ≈ 8 (to nearest whole number)
Hence Joe drinks 8gallons of water in 3weeks
A rectangular prism has a length of 12 centimeters, a width of 6 centimeters, and a height of 9 centimeters. A cross section is formed by the prism and a plane that intersects the prism as shown. Find the area of the cross section.
Greg sells cars. He makes a base salary of
$350, plus $734 per car he sells. Write a
function that models this situation. (y = mx +
b)
Answer: y = 734x + 350
Step-by-step explanation:
y = mx + b
let x be the number of cars he sells, then:
y = 734x + 350
What’s smaller... 1.6 or 1.12 ?
Answer:
1.12
Step-by-step explanation:
1.6 1.12
Someone please help me!!!!!
I need help please, I will give brainliest to the first person that answers
Answer:
it is C
Step-by-step explanation:
20 Points for 4 questions. BRAINLIEST also
Answer:
Image #1: -8 and 8
Image #2: -17 and -1
Image #3: 8 and 4
Image #4: -10±5√2
In a random sample, 3 of 400 computer chips are defective. Based on
the sample, how many chips out of 100,000 would you expect to be
defective?
Answer:
750 of 100,000 chips would be expected to be defective.
Step-by-step explanation:
(3/400) and (?/100,000)
100,000 ÷ 400 = 250.
Multiply 250 by 3 to find the number of defective chips.
250 x 3 = 750.
Leo estimates that a package weighs 27 pounds. The postal clerk weighs it and finds it weighs 20 pounds. What is the percent error in Leo's estimate?
Answer: 35%
Step-by-step explanation:
Given
Weight measured by Leo [tex]W_1=27\ pounds[/tex]
Weight measured by the clerk [tex]W_2=20\ pounds[/tex]
Percentage error is
[tex]\Rightarrow \%\ \text{error}=\dfrac{\text{False value}-\text{Correct value}}{\text{Correct value}}\times 100[/tex]
Putting values
[tex]\Rightarrow \%\ \text{error}=\dfrac{27-20}{20}\times 100=35\%[/tex]
A circle with radius of \greenD{1\,\text{cm}}1cmstart color #1fab54, 1, start text, c, m, end text, end color #1fab54 sits inside a \blueD{3\,\text{cm} \times 3\,\text{cm}}3cm×3cmstart color #11accd, 3, start text, c, m, end text, times, 3, start text, c, m, end text, end color #11accd rectangle. What is the area of the shaded region?
Answer:
5.86cm²
Step-by-step explanation:
Area of the shaded region = Area of the rectangle - Area of the circle
Area of rectangle = Length * Width
Area of rectangle = 3cm * 3cm
Area of rectangle = 9cm²
Area of the circle = πr²
Given radius r = 1cm
Area of the circle = 3.14(1)²
Area of the circle = 3.14cm²
Area of the shaded region = 9 - 3.14
Area of the shaded region = 5.86cm²
Answer:
5.86cm²
Step-by-step explanation:
Area of the shaded region = Area of the rectangle - Area of the circle
Area of rectangle = Length * Width
Area of rectangle = 3cm * 3cm
Area of rectangle = 9cm²
Area of the circle = πr²
Given radius r = 1cm
Area of the circle = 3.14(1)²
Area of the circle = 3.14cm²
Area of the shaded region = 9 - 3.14
Area of the shaded region = 5.86cm²
The inequality -2(x + 10) > 75 says the same thing
as - 2x - 20 > 75. I can multiply by -2 on the left
side without reversing the inequality symbol
True
False
Answer: False. When multiplying or dividing by an negative inequality you flip the sign.
Step-by-step explanation:
13.8ft
15.6ft
23.4ft
46.8ft
Answer:
it is 15.6ft because you need to add 7.8+7.8= 15.6ft
What is the principal square root of /25?
5
25
50
125
Answer:
5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
Carlos has read 45% of his book. If his book has 480 pages, how many pages has he read?
I cant seem to figure this out. Help
Answer:
108 cm^2
Step-by-step explanation:
This solid is a triangular prism.
The total surface area is made up of the area of 5 faces.
The front and rear faces are called the bases and are two congruent triangles.
The other three faces are three rectangles and form the lateral area.
SA = area of bases + lateral area
The area of the bases is 2 times the area of a triangle.
The lateral area is the sum of the area of the three lateral faces, 3 rectangles, and is also the product of the perimeter of the base and the height of the prism.
SA = 2 * bh/2 + PH
where
b = base of triangular base,
h = height if triangular base,
P = perimeter of the base, and
H = height of the prism
SA = 2 * (3 cm)(4 cm)/2 + (3 cm + 4 cm + 5 cm) * (8 cm)
SA = 12 cm^2 + 96 cm^2
SA = 108 cm^2
Draw the polygon with the given in a coordinate plane (0,4) ( 10,8) ( 7,4) ( 10,2 ) ( 5,0)
Answer:
Step-by-step explanation:
Answ
Naäamlaa. in faDlik. shukran. äafwan. aläafw. arjuu almaädhirasabaaH alkhayr.
I’m giving 30 points please help
Answer:
Triangle A
Step-by-step explanation:
Because in the picture it shows the grid and if you look closely you can see the points on the x and y axis, (3,2) (4,7) and (5,6) are the three points formed to make triangle A.
please help me i need it
Answer:
n umber 3 is b and 4 is d
Step-by-step explanation:
Find the surface area of the prism
slated surface
17 × 20 = 340
2 triangle sides
2 × 8 × 15 ÷ 2 = 120
backside
8 × 20 = 160
bottom
15 × 20 = 300
sum all of it
340 + 120 + 160 + 300 = 920
can I get brainliest