The required equation represents the descent motion of the airplane is y = 27000 - 1333.333x and 11000 feet.
Given that,
An airplane prepares for landing. When it begins its descent towards the airport, the plane's altitude is 27,000 feet. After descending at a steady rate for 6 minutes, its altitude is 19,000 feet. Write an equation for the altitude of the plane.
The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
The slope of the motion of the airplane,
m = 27000 - 19000 / 6 = 1333.33
The equation of the plane is given as,
y - y₁ = m (x - x₁)
Substitute the value in the above equation,
y - 27000 = -1333.33[x - 0]
y = 27000 - 1333.33x
Now put x = 12 in above equation,
y = 27000 - 1333.33[12]
y = 11000
Thus, the required equation represents the descent motion of the airplane as y = 27000 - 1333.333x and 11000 feet.
Learn more about slopes here:
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BlacIf w = -2 and v = -8, which of the following expressions shows the values correctly substituted in for the variables in the expression w2 - v + 1?
(-2) 2 - (-8) + 1
(-2) 2 - (8) + 1
-2 2 - (-8) + 1
-2 2 - 8 + 1
Answer:
-2² - (-8) + 1
Step-by-step explanation:
The values given are:
w = -2 and v = -8
Expression given:
w² - v + 1
When we substitute, we put a certain value in place of another. In an equation, variables are used as placeholders.
For this problem:
w = -2
v = -8
So;
-2² - (-8) + 1
Answer:
Given that w=-2 and v=-8
The expression is w²-v+1
Now putting the value of w=-2 and v=+8 in the given expression, we get
(-2)²-(-8)+1
Hence, (-2)²-(-8)+1 is the right answer.
what is y=8.5x contasnt of proportionality
Which ordered pair named the location of Melinda's house?
A. (4, -3)
B. (2,3)
C. (-4, -3)
D. (3, 2)
PLEASE HELP
Answer:
B
Step-by-step explanation:
1. Gold is an element. What does an element of gold contain? (S8P1.a) DOK 5 point
1
one kind of compound
O a single type of atom
O a simple mixture of different atoms
O one mixed substance of two different metals
Nine randomly selected customers at a local fast-food restaurant ordered meals having the following calorie counts: 975,520, 1560
.872, 1029,534,362,954, and 1019. Let y denote the calorie content of a meal ordered at this restaurant. Find the following sum.
Answer: 7825 calories
Step-by-step explanation:
Feom the question, we are told that the meals have the following calories content meals having the following calorie counts: 975,520, 1560
.872, 1029,534,362,954, and 1019.
The sum of the calories will be:
= 975 + 520 +1560 + 872 + 1029 + 534 + 362 + 954 + 1019.
= 7825 calories
z=2 = 27
_____ __
4 12
Answer:
hmmmmmm
i believe that the answer is _
because of _
(i helped w/ your other one lol)
Step-by-step explanation:
HELP!! Mr. Posey is buying a baseball bat that normally cost $160. It is now on sale for 24% off. If sales tax is 10%, how much will he pay for the baseball bat?
Answer:
he will pay $133.10
Step-by-step explanation:
Which one is linear
7x (6 x t) and (7 x 6) x t
If your question is which propperty is used in that opperation
Answer: The commutative property of multiplication
Step-by-step explanation: The comutative property of multiplication says that the order in which elements are multiplied the result is the same.
Graph the following
y−2=2/3(x+4)
is one plus one 15 please answer ASAP
Answer: no its 2
Step-by-step explanation:
lol
2.) Which is equivalent to 3 (а- 9)?
За - 9
OOption 2
оза + 9
оза - 27
Answer:
3a-27
Step-by-step explanation:
Distribute the 3
3 x a is 3a
3 x 9 is 27
Solve for x.
And solve for Z
From Tales theorem: [tex]\dfrac{8x-2}{2x+1}=\dfrac{3z+z+22}{3z}[/tex]
Solving for x:[tex]\dfrac{8x-2}{2x+1}=\dfrac{4z+22}{3z}\\\\(8x-2)(3z)=(2x+1)(4z+22)\qquad\qquad\{divide\ both\ sides\ by\ 2\}\\\\(4x-1)(3z)=(2x+1)(2z+11)\\\\12xz-3z=2x(2z+11)+1(2z+11)\\\\12xz-2x(2z+11)=3z+2z+11\\\\x(12z-4z-22)=5z+11\\\\x(8z-22)=5z+11\qquad\qquad\{divide\ both\ sides\ by\ (8z-22)\}\\\\x=\dfrac{5z+11}{8z-22}[/tex]
Solving for z:[tex]\dfrac{8x-2}{2x+1}=\dfrac{4z+22}{3z}\\\\(8x-2)(3z)=(2x+1)(4z+22)\qquad\qquad\{divide\ both\ sides\ by\ 2\}\\\\(4x-1)(3z)=(2x+1)(2z+11)\\\\(12x-3)(z)=(2x+1)(2z)+(2x+1)(1)\\\\(12x-3)(z)-(4x+2)(z)=(2x+1)\\\\\ [(12x-3)-(4x+2)](z)=(2x+1)\\\\(12x-3-4x-2)(z)=(2x+1)\\\\(8x-5)(z)=(2x+1)\qquad\qquad\{divide\ both\ sides\ by\ (8x-5)\}\\\\z=\dfrac{2x+1}{8x-5}[/tex]
Pierre had $42 before he paid his club dues. Evaluate the expression 42 − d for d = 25 to find how much money Pierre had left after he spent $25 on dues
Answer:Pierre has $17 left
Step-by-step explanation:
Amount of money before dues = $42
according to the expression 42-d, d represents dues= $25
Amount left = Amount of money before dues - Amount of dues
= $42- $25
=$17
Pierre has $17 left after he spent $25 on dues.
The purpose of inverse trig functions is to identify the ____ that yield the given ____.
A) trigonometry function, value
B) value, angles
C) trigonometry function, angle
D) angle, value
Answer:
A
Step-by-step explanation:
If you could help I would really appreciate it, but if not that’s fine. Thank you.
Answer:
Option C is correct answer.
Step-by-step explanation:
We need to draw the graph of piece wise function
[tex]f(x)\[ \begin{cases} -2-x & if\:x\leq 1 \\ -3+2x & if\: x>1 \end{cases}\][/tex]
So, for drawing the graph, we will find values of f(x) for both the given equations.
First finding f(x) for [tex]-2-x \:\: if\:x\leq1[/tex]
The value of x must be less than or equal 1
x f(x)
1 -3
0 -2
-1 -1
-2 0
-3 1
-4 2
The graph will start from closed circle because x ≤ 1
Now, finding values of f(x) for [tex]-3+2x\: if\:x>1[/tex]
The value of x must be greater than 1
x f(x)
2 1
3 3
4 5
5 7
The graph will start from open circle because x> 1
Now, plotting these numbers we will get graph of Option C.
Option C is correct answer.
What is the circumference of a circle with radius 2.1 cm? Use > (inserts wavey = sign) 3.14.
Step-by-step explanation:
The formula for the circumference of a circle is 2*pi*radius
Circumference = 2(3.14)(2.1)
= 13.188cm
Select the correct answer.
You're given three angle measurements of 30°, 70°, and 80°.
How many triangles can you construct using these measurements?
A. 0
B. 1
C. 2
D. Infinitely many
Answer:
The answer is not 1 or 0
I think its D. infinitely many
Step-by-step explanation:
The perimeter of a parallelogram is 88 cm and one of its adjacent sides is longer
than the other by 10 cm. Find the length of each of its sides.
Answer:
sides are 17 cm and 27 cm
Step-by-step explanation:
let the side be x then the adjacent side is x + 10
The perimeter is then
x + x + x + 10 + x + 10 = 88, that is
4x + 20 = 88 ( subtract 20 from both sides )
4x = 68 ( divide both sides by 4 )
x = 17
and x + 10 = 17 + 10 = 27
The sides of the parallelogram are 17 cm and 27 cm
What is x ?
-2x + 7x - 62 = 83
Answer:
x = 29
Step-by-step explanation:
Which statements are true? Select all that apply.
9514 1404 393
Answer:
A, B, D
Step-by-step explanation:
The figure is symmetrical about the horizontal centerline, so triangles, angles, and segments above that line are congruent with corresponding segments below that line. Choices A, B, D are true statements.
__
There is nothing in the figure to indicate that ΔFGK is isosceles, so statement C cannot be considered to be true.
Suppose a city with a population of 400,000 has been growing at a rate of 3% per year what will the population be in the next 19 years
brainliest if its correct
94. Juan is practicing archery using a simple circular target with a radius of 18 inches. The target's a bullseye has a circumference of 18pi inches. What is the area of the portion of the target that is not part of the bullseye?
Answer: 763.02 in^2
Step-by-step explanation:
For a circle of radius R, we know that:
The area is:
A = pi*R^2
the circumference is:
C = 2*pi*R
where pi = 3.14
We know that the circumference of the bullseye is 18*pi, then the radius of this circle is:
2*pi*R = 18*pi
2*R = 18
R = 18/2 = 9
The radius of the bullseye is 9 inches.
Now, the area of the target that is not part of the bullseye is equal to the difference between the area of a circle of radius 18in (the total target area) and a circle of radius 9in (the bullseye area)
This is:
A = pi*(18in)^2 - pi*(9in)^2 = 3.14*( (18in)^2 - (9in)^2) = 763.02 in^2
what is the value or |-12.7| and |11.1/4| ?
Answer:
12.7, because the absolute value gets rid of the negative integer, and shows it true value which is positive 12.7.
Step-by-step explanation: Have a Happy Thursday :)
PLEASE I WILL MARK BRAINLIEST
JUST TELL ME HOW TO SLOVE IT
Answer:
x=5
Step-by-step explanation:
So first we want to find x by itself, so we can subtract 4 from both sides:
x=5
That is your simple answer!
Step-by-step explanation:
[tex] \huge{ \sf{x + 4 = 9}}[/tex]
~ Move 4 to right hand side and change it's sign :
⟼ [tex] \huge{ \sf{x = 9 - 4}}[/tex]
~ Subtract 4 from 9
⟼ [tex] \huge{ \sf{x = 5}}[/tex]
[tex] \red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \bold{ \text{5}}}}}}}[/tex]
Hope I helped ! ♡
Have a wonderful day / night ツ
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How long does it take for an investment to quadruple in value if it is invested at 11% compounded
continuously? Type the exact answer as your answer (no decimal approximations).
Let's assume we have $100 and an interest rate of 7%. For the $100 to quadruple it means that the future value would be $400. Thus, because we are talking about compounding daily we will set us the equation as follows:
100 * (1+1.07)x = 400
Then we will take 400 and divide it by 100 getting:
1.07X = 4
Now we have encountered a problem where we do not know exponent, so we will use logarithm to calculate such and transform our equation to: Log1.07(4)=X
Using our calculator we will find that it takes about 20.4895 days to quadruple the money invested under 7% interest rate compounded daily.
2nd: Using the same $100 but with the rate of 5.5% compounded continuously we will be using A=PERT formula
where:
P (principal) is equal to hypothetical $100
E (e) is a mathematical constant, which is approximately 2.718
R (rate) is the interest rate, in our case it is 5.5%
T (time) is the time required for money to grow
A (amount) is the final amount desired, which is 4 times larger of $100, thus $400
We have the following:
400 = 100 * e0.055t
400/100 = e0.055t
4 = e0.055t
Then we will apply natural log to both sides of the equations and get the following:
ln(4) = ln(e0.055t)
Since e is the base of ln(x) the equation simplifies to:
ln(4) = 0.055t
Using the calculator to find ln(4) we are getting:
1.38629 = 0.055t
Lastly find t
t = 1.38629/0.055
t = 25.20535202
Plug the answers back to the original equation to verify the answers.
1st part of the question answer: t = 20.4895
2nd part of the question answer: t = 25.20535202
Giving 40 points
Solve each system by substitution
Step-by-step explanation:
[tex] \underline{ \underline{ \text{Given}}} : [/tex]
-4x - y = 19 -------- Equation ( i ) x - 2y = -7 ----------- Equation ( ii )[tex] \underline{ \underline{ \text{To \: find}}} : [/tex]
Value of x & y[tex] \underline {\underline{ \text{ Solution}}} : [/tex]
From equation ( i ) :
-4x - y = 19
-y = 19 + 4x
-y = - ( -19 - 4x )
y = -4x - 19 ------ Equation ( iii )
Substituting the value of y from equation ( iii ) in equation ( ii ) , we get :
[tex] \tt{x - 2y = - 7 }[/tex]
⇾ [tex] \tt{x - 2( - 4x - 19) = - 7}[/tex]
⇾ [tex] \tt{x + 8x + 38 = - 7}[/tex]
⇾ [tex] \tt{9x = - 7 - 38}[/tex]
⇾ [tex] \tt{9x = - 45}[/tex]
⇾ [tex] \tt{x = \frac{ - 45}{9}} [/tex]
⇾ [tex] \boxed{ \tt{x = - 5}}[/tex]
Substituting the value of x in equation ( i ) , we get :
⇾ [tex] \tt{ - 5 - 2y = - 7}[/tex]
⇾ [tex] \tt{ - 2y = - 7 + 5}[/tex]
⇾ [tex] \tt{ - 2y = - 2}[/tex]
⇾ [tex] \tt{y = \frac{ - 2}{ - 2}} [/tex]
⇾ [tex] \boxed{ \tt{y = 1}}[/tex]
The possible solution of the system is ordered pair ( x , y ) = ( -5 , 1 ) .
[tex] \red{ \boxed{ \boxed { \tt{Our \: final \: answer : \boxed{ \tt{( - 5 \:, 1 \: )}}}}}}[/tex]
Hope I helped ! ツ
Have a wonderful day / night ! ♡
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Ryan was paid $75 for
working 6 1 4 hours.
How much money
did he make per hour?
Answer:
46050
Step-by-step explanation:
75x614
Answer:
$8.20
Step-by-step explanation:
614 divided by 75 is 8.18666666667. Rounded to the nearest tenth is 8.2.
PLEASE HELP MEEEE!!!!!!!
Answer:
its a black picture...?
Step-by-step explanation: