I'll be using the following variables and values
t = duration of time from rest to max speed (before it starts to decelerate). This means the other portion of the trip takes 10-t seconds a1 = 0.6 = acceleration when elevator is speeding up a2 = -0.8 = acceleration when elevator is slowing down VS1 = start velocity #1 = 0 = elevator is at rest VF1 = final velocity #1 = final velocity when acceleration process stops VS2 = start velocity #2 = starting velocity when deceleration kicks in VF2 = final velocity #2 = final velocity when deceleration is done = 0 d1 = distance from rest to max speed (acceleration) d2 = distance from max speed to 0 (deceleration)I will also be using the two kinematics equations
Vf = Vi + at x = Vi*t + 0.5*at^2where Vi and Vf are the initial and final velocities respectively, 'a' is the acceleration, t is time, and x is displacement.
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To start, let's focus on just the accelerating portion of the journey.
The elevator starts at rest, so VS1 = 0. It reaches some current unknown final velocity, but we can calculate that as such
Vf = Vi + at
VF1 = VS1 + a1*t
VF1 = 0 + 0.6*t
VF1 = 0.6t
The elevator reaches a top speed of 0.6t meters per second after traveling and accelerating t seconds.
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Let's see how much the elevator is displaced after those t seconds (again only focus on the journey where the elevator is speeding up for now)
x = Vi*t + 0.5*at^2
d1 = VS1*t + 0.5*a1*t^2
d1 = 0*t + 0.5*0.6*t^2
d1 = 0.3t^2
The elevator travels 0.3t^2 meters when it is speeding up. We'll use this later.
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Now onto the portion where the elevator is slowing down.
The starting speed for this portion is VS2 = VF1 = 0.6t because the transition from the last bit of the accelerating portion to the decelerating portion has no gaps. Let's assume it's a smooth transition without any sudden bumps to make the ride uncomfortable.
Let's find the displacement for this portion.
x = Vi*t + 0.5*at^2
d2 = VS2*(10-t) + 0.5*a2*(10-t)^2 .... note the 10-t terms
d2 = 0.6t*(10-t) + 0.5*(-0.8)(100-20t+t^2)
d2 = 6t-0.6t^2 - 40+8t-0.4t^2
d2 = -t^2 + 14t - 40
This is the distance it travels from its top speed, decelerating all the way down to rest.
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Add the two distances
d = total distance
d = d1+d2
d = ( d1 ) + ( d2 )
d = ( 0.3t^2 ) + ( -t^2 + 14t - 40 )
d = 0.3t^2 - t^2 + 14t - 40
d = -0.7t^2 + 14t - 40
If we knew the value of t (as defined at the very top of this solution), then we could find the total distance traveled.
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Let's find that value of t.
Recall the following three items
Vf = Vi + at VS2 = VF1 = 0.6t VF2 = 0So,
Vf = Vi + at
VF2 = VS2 + a2*(10-t) ..... note the 10-t portion
0 = 0.6t + (-0.8)(10-t)
0 = 0.6t - 8 + 0.8t
0 = 1.4t - 8
8 = 1.4t
1.4t = 8
t = 8/1.4
t = 5.714 approximately
It takes about 5.714 seconds for the elevator to go from rest to its top speed, before the elevator starts the deceleration process.
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We can now find the value of d
d = -0.7t^2 + 14t - 40
d = -0.7(5.714)^2 + 14(5.714) - 40
d = 17.1411428
d = 17.1 is the approximate total distance traveled (in meters)
The amount of paper recycled is directly proportional to the number of trees that recycling saves. If recycling 2,000 pounds of paper saves 17 trees, how many trees are saved when 5,000 pounds of paper are recycled?
Answer:
Set 16/2000 = x/5000 and solve for x. = 40 trees saved.
Step-by-step explanation:
Answer: the answer would be 42.5 but i’m assuming that you would round.
Step-by-step explanation:
2000/ 17 = 5000/ x
cross multiply
85,000 = 2,000x
simplify(divide by 2000)
x= 42.5
pls help me solve this!
Answer:
G. $9,200
Step-by-step explanation:
average depreciation = (amount of depreciation)/(number of years)
The amount of depreciation is the difference between the new cost and the current value.
amount of depreciation = $85,600 - $30,400 = $55,200
number of years = 6
average depreciation = (amount of depreciation)/(number of years)
average depreciation = ($55,200)/(6 years)
average depreciation = $9,200/year
Answer: G. $9,200
what is another word for mean?
Answer: ____Average__
Answer:
Other words for mean are cruel, rude, unkind, nasty, and unpleasant.
MARK ME BRAINLIEST!!!
Simplify 2/4/8 what the awnser
Answer:
2 1/2
Step-by-step explanation:
If x powered by 2= 20 what is the value of x ?
Answer:
x = 10
Step-by-step explanation:
10^2= 20, therefore
X=10Answer:
x = ± 2[tex]\sqrt{5}[/tex]
Step-by-step explanation:
Given
x² = 20 ( take the square root of both sides )
x = ± [tex]\sqrt{20}[/tex] = ± [tex]\sqrt{4(5)}[/tex] = ± [tex]\sqrt{4}[/tex] × [tex]\sqrt{5}[/tex] = ± 2[tex]\sqrt{5}[/tex]
Find the range of the relation below, then determine whether the relation is a function.
Answer:
C
Step-by-step explanation:
It is a function because it passes the vertical line test and Xs do not repeat, then count out the Y-values which are the range.
1
Find the coordinates of the midpoint of the segment with the given
endpoints. C(3, 5) and D(7,5) *
(5,5)
O (10,10)
O (4,5)
O (5,3)
Answer:
Google mid point formula and plug in your variables
Step-by-step explanation:
hope this helps :)
Someone help me please g(0)=4-(x+3)^2
Answer:
here you go! 36
Step-by-step explanation:
Explain why the function is discontinuous at the given number a (select all that apply)
Answer:
b) f(3) is defined, but is not equal to the limit
Step-by-step explanation:
The portion of the function defined by the rational expression is equivalent to x/(x+3), which has a value of 1/2 at x=3. This is the limit of f(x) from the left or right as x approaches 3. However, the function is not defined at that point as 1/2. Rather, it is defined to be f(3)=1.
So, the limits at f(3) exist and are 1/2, but the function is defined as a different value there.
The only applicable statement is the second one.
Can someone please help me? I hope u guys have a great night if you do :))
Answer:
The answer is Option 1
Step-by-step explanation:
[tex]\sqrt{10}[/tex] = approximately 3.16
3.16 is in between 3 and 3.5
6x – 7 = 8x + 23 con los ejercicios
Solve the proportions
1.) 5/8 = x/16
2.) x/45 = -50/3
3.) 4/(x+3) = 12/27
Hey there! I'm happy to help!
NUMBER 1
This is a trick to solve any proportion.
Multiply the diagonal numbers.
5(16)=80
Divide by the number that isn't the one you want to find.
90/8=10
And you are left with the number you haven't touched. We haven't touched x, so x=10.
NUMBER 2
Cross multiply.
45(-50)=-2250
Divide.
-2250/3=-750
So x=-750.
QUESTION 3
4(27)=108
108/12=9
So x+3=9, subtract 3 from both sides x=6.
Have a wonderful day! :D
What is 2(x - 9) = 10?
Answer:
x=14
Step-by-step explanation:
2 times x = 2x and 2 time 9 is 18 so the equation is 2x-18=10. then you add 18 to both sides and get 2x=28 then simplify to x=14
Answer:
x=14
Step-by-step explanation:
2(x-9)=10
Step one - Simplify both sides
(2)(x)+(2)(-9)=10 (distribute)
2x+-18=10
2x-18=10
Step two - Add 18 to both sides
2x-18+18=10+18
2x=28
Step three - Divide both sides by 2
2x÷2 = 28÷2
x= 14
Answer:
x=14
whats a explicit function?
Answer:
I hope the above pic will help you :)
Solve for x: 5x + one third (3x + 6) > 14
Answer:
x > 2
Step-by-step explanation:
5x + 1/3 * (3x + 6) > 14
5x + x + 2 > 14
6x + 2 > 14
6x > 12
x > 2
Answer:
x>2
Step-by-step explanation:
6x+2>14
6x>12
x>2
hope this helped a bit
Write the decimal expansion for 2/9
Answer:
decimal expansion of 2/9 is 0.2222
Answer:
.2222 (repeating)
Step-by-step explanation:
Use grouping symbols to make the following equation true.
5 x 4 = 3²-4=4
Answer:
(5 x 4)= (3^2 - 4)= 4
Step-by-step explanation:
(5 x 4)=20,
(3^2 -4)= (9-4)
(20)=(5)=4
20/5=4
4=4
The value of a stock begins at 0.05 and increases by 0.04 each month . Enter an equation representing the value of the stock v in any month m
Answer:
v=0.04m+0.05
Step-by-step explanation:
i'm not sure if this is right since i haven't done math in forever
An angle measures 155º. What is the measure of its supplement?
Answer:
25
Step-by-step explanation:
180-155
Square root
Determine the square root of 196.
use the calculator and submit your answer below.
Submit
Answer:
14
Step-by-step explanation:
14 x 14 or 14^2
can someone help please
Answer:
45 degrees
Step-by-step explanation:
What is the value of x in the equation 32(4x − 2) − 3x = 5 − (x + 2)? Drag the correct value to make the equation true.
Answer:
aqui esta la respuesta espero que te ayude
Which geometric figures are drawn on the diagram?
Check all that apply
ABC
E
BCE
Done
Which expression is the simplest form of
- (3x^3+x^2) +2 (x^3– 4x^2)?
Answer:
- x³ - 9x²
Step-by-step explanation:
Given
- (3x³ + x² ) + 2(x³ - 4x² ) ← distribute both parenthesis
= - 3x³ - x² + 2x³ - 8x² ← collect like terms
= - x³ - 9x²
The expression in the simplest form is -x³ - 9x².
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given expression is - (3x³ + x² ) + 2(x³ - 4x² ) will be solved as below:-
E = - (3x³ + x² ) + 2(x³ - 4x² )
E = - 3x³ - x² + 2x³ - 8x²
E = - x³ - 9x²
Therefore, the expression in the simplest form is -x³ - 9x².
To know more about an expression follow
https://brainly.com/question/1698314
#SPJ2
0.540 into a fraction
Answer:
27/50
Step 1 Remove the decimal and write the given number divided by 1
Step 2 After decimal how many digits are there write that much 0 after 1
Step 3 Then Simplify or reduce the fraction
Please help.
This is very hard to me.
Answer:
Width is 20 inches.
Length is 44 inches.
Step-by-step explanation:
Recall that the perimeter of a rectangle is given by the formula:
[tex]P=2(l+w)[/tex]
Where l is the length and w is the width.
We know that the length is 4 more than double the width. In other words, we can write an equation for l:
[tex]l=4+2w[/tex]
Let's substitute this into the above equation. So:
[tex]P=2((4+2w)+w)[/tex]
Combine like terms:
[tex]P=2(4+3w)[/tex]
We are given that the perimeter is 128 (inches). So, substitute 128 for P and solve for w:
[tex]128=2(4+3w)[/tex]
Divide both sides by 2. The right side cancels:
[tex]64=4+3w[/tex]
Subtract 4 from both sides:
[tex]3w=60[/tex]
Divide both sides by 3:
[tex]w=20[/tex]
Therefore, our width is 20.
We can use the length formula we acquired previously to acquire length. We have:
[tex]l=4+2w[/tex]
Substitute 20 for w:
[tex]l=4+2(20)[/tex]
Multiply:
[tex]l=4+40[/tex]
Add:
[tex]l=44[/tex]
So, our length is 44.
And we width is 20.
And we're done!
A salesperson's daily earnings include $115 per day plus commission equal to x percent (in decimal form) of his daily sales. Write an equation that can be used to find the commission percentage (x), if the sales person's daily sales are $1565 and his total earnings for that day are $240.20.
Answer:
$ 115 + x
Step-by-step explanation:
is it helpful please tell me
Camila comprou dois livros para ler nessas férias.
Um deles é de ficção científica e o outro é um romance.
Caso termine os dois livros, ela terá lido 450 páginas nas
férias. Sabe-se que o livro de romance tem 60 páginas
a mais que o livro de ficção científica. Denotando por x
o número de páginas do livro de ficção e por yo número
de páginas do livro de romance, é possível descrever
um sistema linear com duas equações envolvendo xe
y com essas informações.
o gráfico que descreve esse sistema no plano
cartesiano é
Answer:
I will answer in English.
This can be translated to:
"Camila bought two books to read this vacation. One is science fiction and the other is a novel. If she finishes both books, she will have read 450 pages on vacation. The novel is known to have 60 pages more than the science fiction book. Denoting by x the number of pages in the fiction book and by y the number pages of the novel book, it is possible to describe a linear system with two equations involving x and y with this information. "
First, the datat that we have is:
x + y = 450.
x + 60 = y.
Then we can isolate y in both equations, and have two linear equations:
y = 450 - x
y = x + 60.
Now we can graph those lines, and find the image bellow.
The point where the lines intersect is the solution of the system
We also can find the solution of the system as follows:
y = 450 - x = x + 60
then we can solve this for x.
450 - x = x + 60
2x = 450 - 60 = 390
x = 390/2 = 195
and we know that:
y = x + 60 = 195 + 60 = 255
Then: The science fiction book has 195 pages, and the novel has 255 pages.
A solução para os problemas levantados é:
1. O sistema linear com duas equações envolvendo as informações fornecidas é:
x + y = 450x + 60 = y2. O gráfico que descreve este sistema no plano cartesiano pode ser encontrado como uma imagem anexa.
Obtenção e resolução do sistema de equações.
Levando em consideração que as variáveis atribuídas são:
x = Número de páginas do livro de ficção.y = Número de páginas do livro do romance.A primeira frase menciona que se Camila terminar de ler os dois livros, ela terá lido 450 páginas, portanto, sabemos que a soma das páginas dos dois livros dará um total de 450, e na hora de escrever a equação:
1. x + y = 450Por outro lado, o depoimento diz que o livro de romance tem 60 páginas a mais que o livro de ficção, ou seja, o livro de ficção mais 60 páginas seria igual ao livro de romance, portanto, a equação seria:
2. x + 60 = yAgora, você pode resolver o sistema de equações para ver o valor de x, substituindo a segunda equação na primeira:
x + y = 450x + (x + 60) = 450x + x + 60 = 4502x + 60 = 4502x = 450 - 60x = 390/2x = 195Agora está calculado e com a segunda equação:
x + 60 = y195 + 60 = y255 = yy = 255Desta forma, você pode ver que o livro de ficção científica tem 195 páginas, enquanto o romance tem 255 páginas.
Se você quiser revisar outros exercícios semelhantes com sistemas de equações lineares, pode ver o seguinte link: https://brainly.com/question/17174746?referrer=searchResults
Point K is the midpoint of ¹segment JL
JK = 2x+4
JL=12
Step-by-step explanation:
[tex]2(2x + 4) = 12 \\ 4x + 8 = 12 \\ 4x = 4 \\ x = 1[/tex]
Answer:
why does content bot keep deleting my answers bruhh
Step-by-step explanation:
help pls :((((((((((
Answer:
y = 5
Step-by-step explanation:
Answer:
y=5
Step-by-step explanation:
10/5y-13=-3
add thirteen to both sides
10/5y=10
multiply both sides by five
10y=50
divide both sides by 10
y=5
