The measured height, in feet, of an airplane at certain times, in minutes, after takeoff can be modeled using the regression equation y = StartFraction 29,864 Over 1 + 9.381 e Superscript negative 0.9948 x Baseline EndFraction. To the nearest hundred feet, what is the predicted height of the airplane after 18 minutes?

Answers

Answer 1

Answer:

29900 ft

Step-by-step explanation:

just plug in 18 for x

Answer 2

A function assigns the values. The predicted height of the airplane after 18 minutes of takeoff is 29,864 ft.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

The measure of the height of an airplane at a certain time is given by the function,

[tex]y = \dfrac{29,864 }{1+9.381 e^{-0.9948x}}[/tex]

where x is the time in minutes and y is the height of the airplane.

Now, the height of the plane after 18 minutes post takeoff can be calculated by substituting the value of time, x as 18 in the function.

[tex]y = \dfrac{29,864 }{1+9.381 e^{-0.9948x}}\\\\y = \dfrac{29,864 }{1+9.381 e^{-0.9948 \times 18}}\\\\y = \dfrac{29,864 }{1+9.381 e^{-7.9064}}[/tex]

[tex]y = \dfrac{29,864 }{1+9.381 e^{-7.9064}}\\\\y = \dfrac{29,864 }{1+(9.381 \times 1.6724 \times 10^8)}\\\\y = \dfrac{29,864 }{1+(1.5689 \times 10^8)}\\\\y = \dfrac{29,864 }{1.000000157}[/tex]

y = 29864 ft

Hence, the predicted height of the airplane after 18 minutes of takeoff is 29,864 ft.

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Related Questions

4x-8 = 12
4x - 8 + 8 = 12 + 8
4x= 20
4/4x=20/4 x=

Answers

Answer:

x=5

i just got it right on my quiz

Answer:

x5

Step-by-step explanation:

HELP ME ASAP!!! I WILL MARK BRAINLIEST!!

Answers

Its the last one Brand A is more expensive and is 2$ and Brand B is $1.5

Answer:

Brand A ($2) is more expensive than Brand B ($1.50)  (see below)

Step-by-step explanation:

First, you will have to find the slopes of both lines. Slope is y/x, which is the cost/meter or cost per meter.

Using the slope formula:

          y2 — y1

m  =   ---------------

           x2 — x1

Plug in any two points from both lines:

          y2 — y1

m  =   ---------------  = graph 1 (0, 0), (1,2)

           x2 — x1

            2 — 0

m  =   ---------------

             1 — 0

                2

m  =   ---------------  = $2/m

                1

_______graph 2_______

          y2 — y1

m  =   ---------------  = graph 2 (0, 0), (4, 6)

           x2 — x1

            6 — 0

m  =   ---------------

            4 — 0

                6                  3

m  =   ---------------  = -----------  = $3/2 m

                4                  2

Because you are unable to have an exact cost per meter of Brand B, you can use a ratio:

$3  =  $x

2m =  1m

Cross multiply:

3 (1) = 2x

3 = 2x

x = (3 ÷ 2)

x = 1.5

So Brand B is $1.50 per meter while Brand A is $2.00 per meter. Brand B is cheaper.

What is the answer tho

Answers

Answer:

to?

Step-by-step explanation:

uh what’s ur question?

dai is comparing how many trading cards he has with friends Maura

Answers

Answer:

ok

Step-by-step explanation:

HELP! Will be giving branliest!!!!!!

Answers

A is the right anwer to your Question because of the Hours and weeks

I’m like pretty sure it’s B. h = w/e because it seems like you’re to find Toms hours worked which can be calculated by the hourly wages over what he earns.

13
In the figure shown below, if line mis parallel to line n, then find the value of x. (This is a 2 part question.)
m
(2x-10)
(65 - x)
Part A
Write the equation to find the value of x. (DO NOT find x, just write the equation.)
(2x - 10) (65 - x)
Part B
What is the value of x?
Y

Answers

Answer:

2x-10 = 65-x

Step-by-step explanation:

just add up both alternate internal angles as they are both equal

so, the equation is: 2x-10 = 65-x

Answer:

The right equation will be 2x - 10 = 65 - x (you were wrong lol)

Step-by-step explanation:

We have: 2x - 10 = 65 - x

=> 2x - 10 + x = 65

=> 3x = 65 + 10 = 75

=> x = 75/3 = 25

P/S: After some little chats with the others, this might be wrong :(

Which of these is the triangle proportionality theorem? First person to answer CORRECTLY gets brainliest

Answers

Answer: A.

Step-by-step explanation: Brainliest plz

Turn - Find the value of e
(4w - 6)
+
Find the value of each variable

Answers

There is 180 degrees in a triangle, so w+w+(4w-6) = 180
6w-6=180
6w=186
w=186/6
w=31

Is ABC= A DEF? If so, name the congruence postulate that applies. ​

Answers

Answer:

Congruent ASA

Step-by-step explanation:

We are given 2 angles and 1 side length. In order, first there is the angle, then side length, then another angle. The ASA postulate says that the triangle will be congruent.

If 24 divided by 4 is 6 what is the remainder?

Answers

there are no remainders left it’s 0

The remainder from the given division is 0.

Given that, 24 divided by 4 is 6.

The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.

Here,

4|24|6

  24

______

    0

So, the remainder is 0.

Therefore, the remainder from the given division is 0.

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One of the dog treats in Shelley’s shop is 8 inches long and 3.2 inches wide. She wants to make a miniature version that has proportional dimensions. If the miniature treat will be 3 inches long, how wide should it be?

Answers

Answer:

1.2in

Step-by-step explanation:

Answer:

(1) 1.2 inches

A. Choudhury’s bowling ball factory in Illinois makes bowling balls of adult size and weight only. The standard deviation in the weight of a bowling ball produced at the factory is known to be 0.12 pounds. Each day for 24 days, the average weight, in pounds, of nine of the bowling balls produced that day has been assessed as follows:

Day Average (LB) Day Average (LB)
1 16.3 13 16.3
2 15.9 14 15.9
3 15.8 15 16.3
4 15.5 16 16.2
5 16.3 17 16.1
6 16.2 18 15.9
7 16.0 19 16.2
8 16.1 20 15.9
9 15.9 21 15.9
10 16.2 22 16.0
11 15.9 23 15.5
12 15.9 24 15.8

Required:
a. Establish a control chart for monitoring the average weights of the bowling balls in which the upper and lower control limits are each two standard deviations from the mean. What are the values of the control limits?
b. If three standard deviations ate used in the chart, how do these values change? Why?

Answers

Answer and explanation:

Please find attached answer and explanation

if x=3 and y=2 then find the value of 2x²-xy+y²-4x​

Answers

Answer:

4

Step-by-step explanation:

Put x = 3 and y = 2 to the expression 2x²- xy+y²- 4x​:

2(3)² - (3)(2) + 2² - 4(3)    use PEMDAS

=2(9) - 6 + 4 - 12

= 18 - 6 + 4 - 12

= (18 + 4) - (6 + 12)

= 22 - 18

= 4

The value is directly proportional to the value of x. If y =102 when x = 6, what is the value of y when x= 24

Answers

Answer:

y=408

Step-by-step explanation:

y is directly proportional to x

y=kx (where k is the constant)

102=6k

102÷6=k

17=k

y=17x

find y when x=24

y=17(24)

y=408

Nellie purchased 6.5 pounds of strawberries for $12.87. Calculate the cost of a single pound. (Round to the nearest tenth or cent when necessary)

Answers

Answer:

The answer is $1.98.

Step-by-step explanation:

The butterfly method shows how to do this. It is 12.87 over 6.5 equals x over 1. Cross-multiply to get 6.5x = 12.87. Divide both sides by 6.5 to get x = 1.98.

Which line of poetry is marked correctly with weak and strong beats?

Answers

Answer:

2nd answer

Step-by-step explanation:

It has a lot of strong beats and the rhythm sounds better than A and C.

is 10 15 18 equal to a right triangle

Answers

Answer:

no

Step-by-step explanation:

Right triangles follow the Pythagorean theorem:

[tex]a^2+b^2=c^2\\c=\sqrt{a^2+b^2}\\18=\sqrt{10^2+15^2} \\18=\sqrt{325} \\18 != 18.0277\\[/tex]

Because this statement isn't true, the side lengths are not for a right triangle.

Write a positive or negative integer that represents the situation.

An elevator goes down 8 floors.

Answers

Negative because it is going down

Select all the conditions for which it is possible to construct a triangle.


Group of answer choices


A triangle with angle measures LaTeX: 60^\circ 60 ∘ , LaTeX: 80^\circ 80 ∘ , and LaTeX: 80^\circ 80 ∘


A triangle with side lengths 4 cm, 5 cm, and 6 cm


A triangle with side lengths 4 cm, 5 cm, and 15 cm


A triangle with side lengths 4 cm and 5 cm and a LaTeX: 50^\circ 50 ∘ angle


A triangle with angle measures LaTeX: 30^\circ 30 ∘ and LaTeX: 60^\circ 60 ∘ , and a 3 cm side length

Answers

Answer:

A triangle with side lengths 4 cm, 5 cm, and 6 cm

A triangle with side lengths 4 cm, 5 cm, and 15 cm

A triangle with side lengths 4 cm and 5 cm and a 50∘ angle

A triangle with angle measures  30 ∘ and 60 ∘ , and a 3 cm side length

Step-by-step explanation:

A triangle measuring 60 ∘, 80∘ and 80∘ is more than sum of angles of a triangle (180∘). This cannot be constructed as triangle because it is more than 180∘.

A triangle can be constructed, If the sum of any two sides is greater than third side,

Thus, a triangle with side lengths 4 cm, 5 cm, and 6 cm can be constructed because;

4 cm + 5cm > 6 cm

A triangle with side lengths 4 cm, 5 cm, and 15 cm can be constructed as well, because;

5 cm + 15 cm > 4 cm

A triangle with side lengths 4 cm and 5 cm and a 50 ∘ angle can be constructed ( two sides and an angle between them)

A triangle with angle measures  30 ∘ and 60 ∘ , and a 3 cm side length can be constructed ( two angles and a side between them)

If your gross annual income is $80,400 and your employer will match 50% of your retirement
contributions to your 401k up to your maximum contributions of 6% of your salary, what is
the maximum dollar amount that together you and your employer will contribute annually?

Answers

Answer:

Well, due to the 6% add on, you could go up to 85,400 within the first year, however I am not quite sure for the 401k. Have a good day!

Step-by-step explanation:

A TV show has 26 episodes. Due to the lack of time, you can onlywatch 5 of them. However, in order to get a gist of what the showis about, you do not want to watch any two consecutive episodes.How many selections of 5 episodes are there with no two consecutiveepisodes chosen? Assuming that the order of selection is irrelevant.(Hint:this is a Stars and Bars problem)

Answers

Answer:

Step-by-step explanation:

Recall that: The number of combination to select any k consecutive element from n consecutive term is given by the equation [tex]^{n-k+1}C_k[/tex]

[tex]= \begin {pmatrix} ^{n-k+1}_{k} \end {pmatrix}[/tex]

where:

n = 26

k = 5

[tex]^{n-k+1}C_k= \begin {pmatrix} ^{26-5+1}_{5} \end {pmatrix}[/tex]

[tex]^{n-k+1}C_k= \begin {pmatrix} ^{22}_{5} \end {pmatrix}[/tex]

[tex]^{n-k+1}C_k= \dfrac{22!}{5!(22-5)!}[/tex]

[tex]^{n-k+1}C_k= \dfrac{22!}{5!(17)!}[/tex]

[tex]\mathbf{^{n-k+1}C_k=26334}[/tex]

Therefore, there are 26334 selection of 5 episodes with no two consecutive episodes chosen

if loga81=4, find value of a?​

Answers

Answer:

[tex]\huge\boxed{a=4}[/tex]

Step-by-step explanation:

[tex]\log_xy=z\iff x^z=y\\\\\text{for}\ x\neq1\ \wedge\ x>0\ \wedge\ y>0\\==================\\\\\log_a81=4\iff a^4=81\\\\a^4=\underbrace{3\cdot3\cdot3\cdot3}_{=81}\\\\a^4=3^4\Rightarrow a=3[/tex]

find the value of x
The answer is 150.
I need to show my work.

THANKSSSS

Answers

Answer:

x = 150

Step-by-step explanation:

We know a circle is 360°, so the angles must add up to 60°.

Step 1: Set up equation

x - 120 + x - 120 = 60

Step 2: Solve for x

Combine like terms: 2x - 240 = 60Add 240 on both sides: 2x = 300Divide both sides by 2: x = 150

Step 3: Check

Plug in x to verify it is correct.

150 - 120 = 30°

150 - 120 = 30°

30° + 30° = 60°

60° + 300° = 360°

(4.3 x 10^-3)(2 x 10^-2) in standard form

Answers

Answer:

8.6•10^-5 or 0.000086

v (t) = 32,000 (0.84)
Find the initial value of the car and the value after 11 years.
Round your answers to the nearest dollar as necessary

Answers

Answer:

c

Step-by-step explanation:

c because

Kelsey has $550 is her bank account and withdraws $25 per week from her bank account. Kris has $10 in his bank account and each week he deposits $15 of his allowance and $20 earned from dog walking into his bank account. After how many weeks do they have the same amount of money?

Answers

Answer:

13 weeks they both have $ 225

Step-by-step explanation:

3cm
3cm
8cm
13cm
in the diagram above, the curved part is a Semi-
Circle. Find the area of the shaded portion
and correct your answer to 3 significant
figure. ​

Answers

Answer:

can u attach the diagram

Step-by-step explanation:

Vickie bought 54 tickets for a ride at an amusement park.each ride cost 3 tickets and Vickie has been on x rides so far.which expression to the number of tickets that Vickie has left?

Answers

Answer: 18

Steps: 54/3=18

1 8

3/54

-3

24

-24

0

- 8 3/4 devided by 2 1/6​

Answers

Answer:

-105/26 or -4 1/26−4.03846153846 …

Step-by-step explanation:

Depending on what answer

you need, the decimal is −4.03846153846,

the improper fraction is -105/26 and the mixed number is -4 1/26

Hope this helps! <3

If cost of 3 kg of sugar is Rs 240. What is rate of cost of sugar​

Answers

Rs80 for each 1kg sugar
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