An air traffic controller is tracking two planes. To start, Plane A is at an altitude of 4057 feet and Plane B is at an altitude of 5000 feet. Plane A is gaining altitude at 60.75 feet per second and Plane B is gaining altitude at 40.25 feet per second.

How many seconds will pass before the planes are at the same altitude?

What will their altitude be when there’re at the same altitude?

Answers

Answer 1

Answer:

46 seconds6851.5 feet

Step-by-step explanation:

The altitude of each plane can be expressed by an equation that adds the initial altitude and the product of time and its rate of climb.

  plane A: y = 4057 +60.75t

  plane B: y = 5000 +40.25t

__

We want to find the time when their altitudes are the same:

  4057 +60.75t = 5000 +40.25t . . . . equate the expressions for y

  20.50t = 943 . . . . . . . . . subtract (40.24t +4057)

  t = 46 . . . . . . . . . . . . divide by the coefficient of t

At t=46, the altitude of the planes will be ...

  y = 5000 +40.25(46) = 5000 +1851.5 = 6851.5

The planes are at the same altitude after 46 seconds.

Both planes will be at an altitude of 6851.5 feet.

An Air Traffic Controller Is Tracking Two Planes. To Start, Plane A Is At An Altitude Of 4057 Feet And

Related Questions

in 1977, Pistol Pete Maravich led the NBA with 2273 points. In 2006, Kobe Bryant led the NBA with 2832 points. However, there were many differences between basketball in 1977 and basketball in 2006, including the number of teams and possibility of a three-point shot. The mean number of points for the top 110 players in 1977 was 1198 points with a standard deviation of 379 points. The mean nimber of yards for the top 150 players in 2006 was 1123 points with a standard deviation of 433 points. Who had the better performance, Maravich or Bryant? Explain your reasoning.

Answers

Using z-scores, it is found that due to the higher z-score, Bryant had the better performance.

Normal Probability Distribution

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.The above bullet point means that higher z-scores mean a better performance.

For Maravich, we have that the parameters are [tex]X = 2273, \mu = 1198, \sigma = 379[/tex], hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{2273 - 1198}{379}[/tex]

Z = 2.84.

For Bryant, we have that the parameters are [tex]X = 2832, \mu = 1123, \sigma = 433[/tex], hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{2832 - 1123}{433}[/tex]

Z = 3.95.

Due to the higher z-score, Bryant had the better performance.

More can be learned about z-scores at https://brainly.com/question/24663213

The segments shown below could form a triangle.
д
C
B
9
11
B
C
O A. True
B. False

Answers

Answer:

hi the answer is true

Step-by-step explanation:

hope it helps

The triangle can be formed using the given line segments. Therefore, the given statement is true.

What is the triangle inequality theorem?

The triangle inequality theorem describes the relationship between the three sides of a triangle. According to this theorem, for any triangle, the sum of lengths of two sides is always greater than the third side.

Given that, line segments AC=9 units, BC=4 units and AB=11 units.

If a, b and c are the lengths of the sides of a triangle then

If a ≤ b ≤ c, then a + b > c.

9+4>11

13>11

Therefore, the given statement is true.

To learn more about the triangle inequality theorem visit:

https://brainly.com/question/1163433.

#SPJ7

Solve the system using the linear combination method:
x + 5y= -3
2x + 7y=3

Answers

Answer:

3x+12y=0

Step-by-step explanation:

x+2x=3x

5y+7y=12y

-3+3=0

Help picture below problem 18

Answers

Answer:

X⁶

Step-by-step explanation:

x⁹/x³

= x⁹-³

= x⁶ is the answer

Answer:

E. [tex]x^{6}[/tex]

Step-by-step explanation:

To divide two fractions we subtract the power of second expression from the first one:

[tex]x^{(9-3)} = x^{6}[/tex]

The hands of a clock suggest an angle whose measure is continually changing. How many degrees does a minute hand move through during 4 ​-minute time​ interval?
In 4 ​-minute time interval a minute hand moves __ degrees.

Answers

Step-by-step explanation:

oh, come one ! you can literally see that one ...

a full rotation on a clock is a full circle and stands therefore for 360°.

for the minute hand these 360° represent 60 minutes.

4 minutes of 60 is a fraction, a ratio, and the same ratio applies then also to 360°.

4/60 = 1/15

360 × 1/15 = 24°

so, 4 minutes represent 24°.

Answer:

Wow no reasonable explanaition for why you don't know this answer but here it is.

360*

Step-by-step explanation:

How do you solve this

Answers

Aaron and Beth combined ran 40% of the total distance.
A + B = 12 miles
Beth and Candace combined ran 34% of the total distance.
B + C = 10.2 miles
Candace and John combined ran 40% of the total distance.
C + J = 12 miles
John and Pat combined ran 41% of the total distance.
J + P = 12.3 miles
A + B + C + J + P = 30
A + (10.2-C) + C + J + (12.3-J) = 30
A + 10.2 + 12.3 = 30
A = 7.5 miles
B = 12 - 7.5 = 4.5 miles
C = 10.2 - 4.5 = 5.7 miles
J = 12 - 5.7 ] = 6.3 miles
P = 12.3 - 6.3 = 6 miles

I need help with this please

Answers

Answer:

4 and 7

2 and 5

Step-by-step explanation:

4 and 7 are co interior angles

2 and 5 are co interior angles

sum of co interior angles are 180° hence they are Supplementary

MAX POINTS PLEASE HELP Will make Brainliest

What is the period and frequency of the function graphed and how would the equation be written??

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

The required equation is :

[tex]\qquad \sf  \dashrightarrow \:y =a \cos(bx) + k[/tex]

Now, let's find the required values :

period (p) = 6

[distance between any successive Crest or trough]

a = - 4 (flipped)

b = 2π/p = 2π/6 = π/3

k = -2

Distance of starting position from origin = k

Now, plug in the values ~

[tex]\qquad \sf  \dashrightarrow \: - 4 \cos( \frac{\pi}{3} x) - 2[/tex]

There is not crest given so use distance between troughs

Period (T):-

Distance between two troughs|3-(-3)|6

Frequency:-

[tex]\\ \rm\dashrightarrow \dfrac{1}{T}[/tex]

[tex]\\ \rm\dashrightarrow \dfrac{1}{6}[/tex]

[tex]\\ \rm\dashrightarrow 0.17Hz[/tex]

A rectangle has a length of 15 cm and a width of 11 cm. What is its perimeter?
54 cm
52 cm
165 cm
26 cm

Answers

Answer:

52 cm

Step-by-step explanation:

perimeter = 2(length) + 2(width) for a rectangle.

2(15)+2(11)=52 cm

Answer:

52

Step-by-step explanation:

i got 100% on the quiz i got all the answers

Find the value of x

A. 4
B. 10
C. 17
D. 25

Answers

Answer:

X can be any of those numbers depending on which equation it is in

Step-by-step explanation:

convert the following units to the units in bracket 12m (to cm)

Answers

We are converting 12 meters into centimeters.

A meter is a larger unit of messurment then centimeter. In fact, a meter is made up of many centimeters

How many centimeters are in a meter?

We can look at the word composition of the word centimeter to figure this out:

centimeter

centi = 100

There are 100 centimeters in 1 meter.

In this problem, we have 12 meters. That is twelve 100 cm or:

12 × 100 = 1,200

12 meters is the same as 1,200 centimeters

1 meter = 100 centimeter

So ,

12 m = 12 × 100 = 1,200 centimeter

Write an equation in slope-intercept form of the line shown.
An equation is

Answers

Answer:

y = -x - 4

Step-by-step explanation:

Betty has some bottles.
4
7
of the bottles are big and
4
5
of the remaining bottles are small. The rest of the bottles are tiny.
What fraction of the bottles are tiny?

Answers

I hope it is useful for you:)

help me help me help me ​

Answers

Answer:

For the third one,

3, 8, 15, 24, 35, 48, 63

For the fourth one,

4, 6, 10, 18, 30, 46, 66

Step-by-step explanation:

a farmer has 47 eggs.He packs 6 eggs in each box. How many egg boxes does he need to packall the eggs?​

Answers

We need to divide up 47 eggs into boxes of 6. Therefore, we are doing a division problem.

6 x 7 = 42

42 is as close as we can get to 47 without going over. So, at this point, we need 7 boxes.

BUT - There are 5 eggs left without a box. We cannot have part of a box either. Therefore, we need to add in another box.

7 + 1 = 8

He needs 8 boxes to pack all the eggs.

Hope this helps!

Answ

Step-by-step explanation:

17 boxes 47 divided by six so it is 17 boxes hope it helps:)

Moderne Furniture Company had sales of $2,000,000 during its first year of operation. If the sales increased by $200,000/year thereafter, find Moderne's sales in the fifth year and its total sales over the first 5 years of operation.

Answers

2.8 million in the fifth year. 12 million total


Find the equation of the line that contains the point (4, - 2) and is perpendicular to the line y = - 2x + 5. ​

Answers

Answer:

y=1/2x

Solution:The slopes of perpendicular lines are opposite reciprocals of each other.The simplest way to determine a number's reciprocal is to flip it over, like so:[tex]-2 ~ - > -\displaystyle\frac{1}{2}[/tex]Now, change the sign:[tex]\displaystyle\frac{1}{2}[/tex]So we have the slope of the line that's perpendicular to the given line.Now, let's find the line's equation.First, let's write it in Point-Slope Form:y-y1=m(x-x1)y-(-2)=1/2(x-4) y+2=1/2x-2 (Point slope)Now, convert to slope-intercept:y=1/2x+2-2y=1/2x

Hope it helps.

Do comment if you have any query.

Answer:

y=1/2x

Step-by-step explanation:

Bethany is making a rectangular fenced-in area for her rabbit in her yard. The area measures 4 3/4 feet wide by 2 yards long. What is the total length of fencing, in feet, that Bethany will need?​

Answers

10 3/4 she will for fencing

A triangle is graphed on the coordinate grid below.
What are the coordinates of the image of this triangle after a dilation, with a center of dilation at the origin and a scale factor of 2.
Explanation please!! Thank you

Answers

Answer:

The answer is D

Still stuck? Get 1-on-1 help from an expert tutor now.

Step-by-step explanation:

PLEASE HELP PLEASE HELP PLEASE

Answers

Answer:

False

Please make this brianliest so others can learn from this answer

Happy to help :)

Step-by-step explanation:

Can someone help me?

Answers

Answer:

(i) [tex]y = 2x(x-5)[/tex]

(ii)  zeros:  x = 0 and x = 5

axis of symmetry:  x = 2.5

(iii)  vertex:  (2.5, -12.5)

(iv) see attached

Step-by-step explanation:

Part (i)

Factor:  [tex]y=2x^2-10x[/tex]

Factor out the common term [tex]2x[/tex]:

[tex]\implies y=2x(x-5)[/tex]

Part (ii)

Zeros occur when [tex]y=0[/tex]

[tex]\implies 2x(x-5)=0[/tex]

Therefore:

[tex]\implies 2x=0 \implies x=0[/tex]

[tex]\implies (x-5)=0 \implies x=5[/tex]

So the zeros are x = 0 and x = 5

The axis of symmetry of a parabola is x = a where a is the midpoint of the zeros.

[tex]\textsf{midpoint of zeros}=\dfrac{0+5}{2}=2.5[/tex]

Therefore, the axis of symmetry is [tex]x=2.5[/tex]

Part (iii)

The axis of symmetry is the x-coordinate of the vertex. To find the y-coordinate of the vertex, substitute this into the given equation.

[tex]\implies 2(2.5)^2-10(2.5)=-12.5[/tex]

So the vertex is (2.5, -12.5)

Part (iv)

Plot the zeros and the vertex.

As the leading coefficient is positive, the parabola will open upwards, so the vertex is the minimum point.

Draw the axis of symmetry, then sketch the parabola, ensuring each side of the axis of symmetry is symmetrical.

*see attached*

1. Mark practices the piano for 2/3 of an hour, 6 times a week. How many hours does
he practice each week?

Answers

Answer:

4 hours

Step-by-step explanation:

2/3*6/1= 12/3

12/3 simplified is 4

Answer: 4 hours each week

Explanation: 2/3 of an hour = 40 minutes
40 times 6 = 240 minutes
240 (minutes) / 6 (hours) = 4 hours practiced each week

Hope this helps :)

Which shows how to determine the volume of the pyramid?
10 cm
8 cm
12 cm
V-3(1268)(10)
OV-2(12)(10)
8
V-=(12(B)(10)

Answers

Answer:

V = 1/3(12×8×10)

Step-by-step explanation:

V= 1/3×base area×height

V = 960/3

V = 320cm^3

The volume of the pyramid is,

⇒ V = 320 cm³

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Height of pyramid = 10 cm

Length of pyramid = 12 cm

Width of pyramid = 8 cm

Hence, We get;

The volume of the pyramid is,

V= 1/3 × base area × height

V = 1/3 (12×8×10)

V = 960/3

V = 320 cm³

Thus, The volume of the pyramid is,

⇒ V = 320 cm³

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ7

Find the surface area of the pyramid.

Answers

Answer:

i think the answer is 87.

Step-by-step explanation:

i think its 87.

6. following activities: has 9 hours of free time on Sunday, find how much time he spends on the The circle graph shows the percentage of Nathan's free time on Sunday. If Nathan 1. Percent spent on Reading: Free Time % 2. Time spent on Reading: Drawing Reading 25% 3. Time spent on Drawing: 4. Time spent Exercising: Watching Television 25% Exercising 30% 5. Time spent watching TV:​

Answers

Answer: add them

Step-by-step explanation: your welcome to get a tutor

3125 - [72 - 4(11 - 4)]} =

Answers

Answer:

25

Because its right

also I just took a test that has this problem.

find the value of x?​

Answers

Answer:

x = 63  units

Step-by-step explanation:

130 tan 39   = entire  L side

130 tan 39  -  130 tan 18 = x = 63

what is the slope of the line that passes through the points (-1,1) and (1,-15)​

Answers

Answer:

[tex]\boxed{\text{The slope is -8.}}[/tex]

Step-by-step explanation:

To find the slope of the line, you have to use a slope formula.

Slope formula:

[tex]\Longrightarrow:\sf{\dfrac{y_2-y_1}{x_2-x_1} }[/tex]

⇒ y2=(-15)

⇒ y1=1

⇒ x2=1

⇒ x1=(-1)

Rewrite the whole problem down.

[tex]\Longrightarrow: \sf{\dfrac{-15-1}{1-\left(-1\right)}=\dfrac{-16}{2}=\boxed{\sf{-8}}[/tex]

So, the slope is -8, which is our answer.

I hope this helps you! Let me know if my answer is wrong or not.

Which of the following numbers is the smallest?
1/3
3/10
2/5
3/8

Answers

Answer:

3/10

Step-by-step explanation:

Taking the decimal values (upto the thousandths place)

1/3 = 0.333/10 = 0.32/5 = 0.43/8 = 0.375

Clearly,

0.3 < 0.33 < 0.375 < 0.40.3 is the smallest3/10 is the smallest

3/10 is the smallest number among the given options.

Given that are numbers we need to check which is the smallest from this,

To determine which of the given numbers is the smallest, we can compare them by finding a common denominator and then comparing the numerators.

The common denominator for 1/3, 3/10, 2/5, and 3/8 is 120 (the least common multiple of 3, 10, 5, and 8).

Now, let's convert each fraction to have a denominator of 120:

1/3 = 40/120

3/10 = 36/120

2/5 = 48/120

3/8 = 45/120

Comparing the numerators, we can see that 36/120 (3/10) is the smallest.

Therefore, 3/10 is the smallest number among the given options.

Learn more about Comparing numbers click;

https://brainly.com/question/13505153

#SPJ2

Prove. An odd number cubed is an
odd number.


Answers

any odd number multiplied by any other odd number is still odd, so cubing or squaring an odd number will keep it odd.

Answer:

If you're looking for the equation, it's:

[tex](2n+1)^3=8n^3+12n^2+6n+1=2(4n^3+6n^2+3n)+2=[/tex] an odd

I know because I got it right on acellus.

Other Questions
What attributes do squares andtrapezoids always have incommon? y = 3x + 1 -x + 2y = -3 solve system of equation by elimination points :) have a good day PLSSSSSSS HELP 100 POINTS [HMTL]Find the measure of side XY.A:15.0B:8.0C:18.0D:12.5 What do most birds do in the wintertime? Anyone know this????? among florida regulations regarding obstructions to navigation, it is illegal to attach your vessel to which of the following? what does rows represent on the periodic table The office building shown has shaded windows for the rooms in whichthe lights are turned off.What portion of the rooms have their lights turned off?A) 2/3B) 3/4C) 15%D) 60% Is it fair to compete with a former employer? Yes or no and tell me why 8) Mercy marks up all goods she sells by 30%. What is the marked up price that she will sell ahat in her store, that cost her $42?A. $12.60 B. $45.60C. $54.60D. $62.40 Find X.Hint: T is an inscribed angle that creates arc WS. Arc WS can be found by adding arcs WR and RS together.See picture for full problem. Please and thank you so much! find in grammes 1/5 of 2 kg + 60 g What number is not part of the solution set to the inequality below?x - 2 > or equal to 12 A 10 B 14 C 16 D 18 200g of fertiliser is required for a plot of landthat has an area of 8 m?. Find(i) the amount of fertiliser needed for a plot ofland that has an area of 14 m,(ii) the area of land that can be fertilised by450 g of fertiliser An ethical behavior with respect to public representations is what? What do you need to do before drafting an informational report?A Identify your final ideas about the topic.B Nothing just gets started writing.C Learn about a topic and think about how you might organize information.D Create a detailed, exact outline of how your report will go.HELPPPPPP According to a weather report, there is a 11% chance it will rain tomorrow. What is the probability that it will not rain tomorrow? why is it important to get close to the free throw line as possible esta enfermo y no me (blank) bien