Answer:
[tex]h=\frac{h_{m}-h_{t}+44.145}{3}t-4.905t^{2}+h_{t}[/tex]
(if the heights are measured in meters)
Step-by-step explanation:
In order to solve this problem we will need to first draw a diagram of the situation (see attached picture) and then, make use of the following physics equation:
[tex]y_{f}=\frac{1}{2}at^{2}+v_{0}t+y_{0}[/tex]
where:
[tex]y_{f}[/tex]=height of the object at a given time t
a=acceleration due to gravity
t=time
[tex]v_{0}[/tex]=initial velocity of the object
[tex]y_{0}[/tex]=initial height of the object.
we know most of this data, except for the height of theh object at the given time t and the initial velocity of theh object. We can make use of the given time to write the velocity in terms of the height of thte tree and the height of the monolith.
So let's substitute the values we know so far:
[tex]h=\frac{1}{2}(-9.81)t^{2}+v_{0}t+h_{tree}[/tex]
the problem tells us that after 3 seconds, the object reaches the height of the monolith, so let's do the substitution:
[tex]h_{monolith}=\frac{1}{2}(-9.81)(3)^{2}+v_{0}(3)+h_{tree}[/tex]
we can now solve this equation for the initial velocity, so we get:
[tex]h_{monolith}-h_{tree}=-44.145+3v_{0}[/tex]
[tex]h_{monolith}-h_{tree}+44.145=3v_{0}[/tex]
so:
[tex]v_{0}=\frac{h_{monolith}-h_{tree}+44.145}{3}[/tex]
and now we can substitute this back into the original formula to get the equation that represents the height of the coconut above the ground after t seconds:
[tex]h=\frac{h_{m}-h_{t}+44.145}{3}t-4.905t^{2}+h_{t}[/tex]
Skies travel charges two-fifty for a plane ticket and $28 per day for rental car. For the same trip, r&r travels charges 305 for a plane ticket and 23 per day for car rental. What is the minimum number of days in martin's vacation should be or r&r travel to be a better deal for him?
Given :
Skies travel charges two-fifty for a plane ticket and $28 per day for rental car.
For the same trip, r&r travels charges 305 for a plane ticket and 23 per day for car rental.
To Find :
The minimum number of days in martin's vacation should be or r&r travel to be a better deal for him.
Solution :
Let, minimum number of days are x.
So, cost charged by Skies travel is, [tex]c_1 = 25+28x[/tex]
Cost charged by r&r travels is, [tex]c_2 = 305 + 23x[/tex]
r&r should be better deal when :
[tex]c_2 < c_1\\\\305 + 23x <25 + 28x\\\\5x >280\\\\x>56[/tex]
So, for better deal at r&r minimum number of vacation days is 57.
Hence, this is the required solution.
ASAP WILL GIVE BRANLIEST !!!!!!!!!
Answer:
6[tex]\sqrt{5}[/tex]-4[tex]\sqrt{7}[/tex]
Step-by-step explanation:
3[tex]\sqrt{5} -2\sqrt{7} +3\sqrt{5} -\sqrt{28}\\6\sqrt{5}-2\sqrt{7} -2\sqrt{7} \\6\sqrt{5}-4\sqrt{7}\\=2.8334[/tex]
Answer:
The 3rd one!
Step-by-step explanation:
Pls give brainliest i rlly rlly need it—..
What is 2+2? xd noob
Answer:
4
Step-by-step explanation:
You can count on your fingers if you need to or use a calculator.
Answer:
2+2 is 4
Step-by-step explanation:
Hurry please (ignore this part hdhdjsfjenejfixhebrfisj)
Answer:
(-3/8) (-5/7) (-1/4) is the answer
Step-by-step explanation:
please mark me as brainliest please
Select all the points that are on the graph of the line 2+4=20
(10, 0)
(1, 4)
(1, 2)
(0, 5)
(0, 10)
Answer:
A or B, it's either one of the two
What Is The Difference Between 1+1 And 1x1?
Answer:
1+1=2 and 1x1= 1
Step-by-step explanation:
If you add something you take the first number and add it to the second one. If it is multiplication, you take the first number, and multiply by itself, so it would be 1 times itself (1) and it is kind of like 1+0 which equals 1. It doesn't sound like a lot, but when you get into Algebra and Pre-Algebra, etc. it does come along easier.
Answer:
1+1=2 and 1x1= 1
Step-by-step explanation:
Can any one help
WILL GIVE 30 POINTS
Answer:I think it’s b too
Step-by-step explanation:
PLEASE HELP ME SOON pleaseeeeeee
How is an inequality different from an equation? Give a real-world scenario in which you would write an inequality rather than an equation.
HELPPPPPPPPPPPPPPPP PLEASEEEEEEEEE
Answer: An equation is a mathematical statement that shows the equal value of two expressions while an inequality is a mathematical statement that shows that an expression is lesser than or more than the other. An equation shows the equality of two variables while an inequality shows the inequality of two variables.
Step-by-step explanation: Hope this helps! :D
one scenario can be that if you have less than or equal amount of money only then you can buy a certain thing......e.g : if price of a game is 40....then i should have money equal to or more than fourty to buy the game......
money>=40
Solve the following equation for y.
23x+7y=-17
Answer:
23x+7y=23x+7y
Step-by-step explanation:
tu ne peut pas Addisioner les terrme avec des variables différents
sports drinks- $1.75
pizza- $2.25
Answer:
7 drinks
Step-by-step explanation:
7x1.75=12.25
4 x 2.25= 9
added - 21.25
help pls! (it's a pic)
Answer: Choice C
x+y = 28
3x+4y = 100
===================================================
Explanation:
x and y are placeholders for nonnegative whole numbers.
Specifically,
x = number of three point questions
y = number of four point questions
Since we have 28 questions total, this must mean x+y = 28. That forms the first equation in our system of equations.
------------
Now let's form the second equation:
x = number of three point questions
3x = points we get from all the three point questions
y = number of four point questions
4y = points we get from all the four point questions
3x+4y = all points possible
3x+4y = 100 is the second equation
------------
So we have this system
[tex]\begin{cases}x+y = 28\\3x+4y = 100\end{cases}[/tex]
which fits the conditions in the instructions.
2x100x3x0 solve lol :)
Answer:
the answer is 0
Step-by-step explanation:
2x100x3x0 equals and levels out to 0 :)
Answer:
0
Step-by-step explanation:
100 x 2 = 200
200 x 3 = 600
600 x 0 = 0
What is the solution for the equation 4x – 10 = 2x?
Answer:
5x
Step-by-step explanation:
subtract 4x fromboth sides
4x-10=2x
-4x -4x
divide both sides by -2
-10=-2x
-10/-2=-2x/-2
5=x
pls help me fast like asap
Answer:
Im pretty sure its D
Step-by-step explanation:
Solve the given system by substitution.
Answer:
(2, 8)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
r = 4s
r = 1/2s + 7
Step 2: Solve for s
Substitution
Substitute in r: 4s = 1/2s + 7Subtract 1/2s on both sides: 7/2s = 7Divide 7/2 on both sides: s = 2Step 3: Solve for r
Define equation: r = 4sSubstitute in s: r = 4(2)Multiply: r = 8Answer:
s = 2
r = 8
Step-by-step explanation:
subsitution is were you plug in a systerm into the other problem
since they give you R = 4s you take 4s and plug it in were r is in the other equation (subsitution)
so now you have 4s = 1/2s+7
now you want to solve for s so your going to subtract 1/2s from both sides to cancle out the 1/2s --> 4s - 1/2s = 7 --> 3 and 1/2s = 7
now divide both sides by 3 1/2 to get s alone s = 7/3 and 1/2
s = 2
now we have s we take that and plug it into r = 4s
subsitute S as 2 --> r = 4(2)
r = 8
2 4/5 ÷ 2 1/5 =
(Please answer as a fraction)
Answer:
1 3/11
Step-by-step explanation:
Question 1 (5 points)
(02.01 LC)
Line segment AB has a length of 5 units. It is translated 3 units to the right on a coordinate plane to obtain line segment A prime B prime. What is the length of A prime B prime? (5 points)
a. 2 units
b. 3 units
c. 4 units
d. 5 units
Answer:
The answer to this question is b. 3 units
Answer:
D. 5 Units
Step-by-step explanation:
A translation is a different way of saying that the shape was moved. So since this is a movement nothing changed about the length of the line segment, meaning the line segment stayed 5 units.
Line t has an equation of y = x + 2. Line u is parallel to line t and passes through
(10, 4). What is the equation of line u?
Answer:
y=x-6
Step-by-step explanation:
I need help asap pleaseeee
Answer: B,C
Step-by-step explanation:
Elevator A: -4x+16
Elevator B: -3x +16
Three pounds of oranges cost $4.50 complete the table
Which equation is true when the value of x is 3.5 help
Answer:2x-8=1
Step-by-step explanation:
Answer:The answer is 2-8=1
Step-by-step explanation:
At the mall, Claire buys a hat that is 60% off and socks that are reduced to $5.49. She spends a total of $9.49. Let x represent the cost of the hat.
Answer:
Just getting the points so I can post that image for you
A company has recently been hiring new employees. Today the company has 33% more employees than it did a year ago. If there are currently
53,200 employees, how many employees did the company have a year ago?
Answer:
Sorry , I might be wrong : 35664
Step-by-step explanation:
So, first, we can find 33% of 53,200
That is 17,556
Then, we can subtract 17556 from 53,200
We get 35664
The usual price of a sweatshirt is $18, what is its sale price?
The sale price of every item in a store is 85% of its usual price.
help please!!!!!!!!!!!!!!
Find the slope of the line that passes through (4,2) and (9,1)?
Answer: m= -1/5
Step-by-step explanation:
Find the Slope (4, 2) and (9, 1)
Slope is equal to the change in y over the change in x, or rise over run.
change in y
m = _________
change in x
The change in x is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise). y₂ − y₁
m = _____
x₂ − x₁
Substitute in the values of x and y into the equation to find the slope.
1 − (2)
m = _____
9 − (4)
Simplify the numerator.
−1
m = _____
9 − (4)
Simplify the denominator.
−1
m = _____
5
Move the negative in front of the fraction.
−1
m = _____
− 5
Answer:
The slope of the line is [tex]\displaystyle -\frac{1}{5}[/tex].
Step-by-step explanation:
We are given two coordinate points:
[tex](4, 2)[/tex][tex](9, 1)[/tex]We are asked to find the slope of the line.
We can use the rise-over-run formula to solve for the slope of the line.
[tex]\displaystyle \text{slope} = \frac{\text{rise}}{\text{run}}\\\\\text{slope} = \frac{y_2-y_1}{x_2-x_1}[/tex]
However, we firstly need to name our coordinate points.
In math, we can label our coordinates using the following label system:
[tex](x_1, y_1), (x_2, y_2)[/tex]
Therefore, we can also label our coordinates as such:
[tex]x_1 = 4[/tex][tex]y_1 = 2[/tex][tex]x_2 = 9[/tex][tex]y_2 = 1[/tex]Now, we can supply these values into the formula and solve for our slope, or a better known variable, m.
[tex]\displaystyle m = \frac{1 - 2}{9 - 4}\\\\m = \frac{-1}{5}\\\\m = -\frac{1}{5}[/tex]
Therefore, our slope is [tex]\displaystyle -\frac{1}{5}[/tex].
The solution of a system of equations with no solution describes what kind of lines?
options:
parallel
coincidental
perpendicular
intersecting
Answer:
parallel
Step-by-step explanation:
The answer is parallel because Since parallel lines never cross, then there can be no intersection; that is, for a system of equations that graphs as parallel lines
least common multiple of 12 and 3
Answer:
Answer is 12
12x1=12
3x4=12
Step-by-step explanation:
Its the least number.
Answer:
It is exactly 12
Step-by-step explanation:
I hope this helped you
Can i get branliest and heart please
Thanks!
Select all of the expressions that are equivalent to 8/5.
A. 5 x 1/8
B. 8 x 1/5
C. 2 x 4/5
D. 4 x 2/5
C. 2 x 6/5
Answer:
B, C, and D
Step-by-step explanation:
A) 5 x 1/8 is 5/1 times 1/8 which is 5/8 (Incorrect)
B) 8 x 1/5 is 8/1 times 1/5 (multiply straight across and you get 8/5 (Correct)
C) 2 x 4/5 (again, it's 2/1 just multiply straight across and you are basically only multiplying the two numerators each time. Because 1 times 5 will always be 5) (Correct)
D) Correct because 4 times 2 is 8 which is over 5, hence, 8/5 (Correct)
E) 2 times 6 is 12 over 5 which is 12/5, not 8/5. (Incorrect)
Give me brainliest if I helped you
Write the next three terms of the arithmetic sequence.
4, 12, 20, 28, ...
The next three terms are __, __, and __
Answer:
36, 44, 52
Step-by-step explanation:
Just add 8 to 28 = 36
Add 8 to 36 = 44
Add 8 to 44 = 52
Answer:
36, 44, 52
Step-by-step explanation:
give me that brailyest