Suppose an object is launched from ground level directly upward at 57.4 f/s Write a function to represent the object’s height over time.
Answer: p(t) = (-16 ft/s^2)*t^2 + (57.4 ft/s)*t
Step-by-step explanation:
We can suppose that the only force acting on the object is the gravitational force, then the acceleration of the object will be equal to the gravitational acceleration.
Then we can write:
a(t) = -32 ft/s^2
Where the negative sign is because this acceleration is downwards.
Now, to get the vertical velocity of the object, we need to integrate over time to get:
v(t) = (-32 ft/s^2)*t + v0
where t represents time in seconds and v0 is the constant of integration, and in this case, is the initial vertical velocity.
In this case, the initial velocity is 57.4 ft/s upwards, then the velocity equation is:
v(t) = (-32 ft/s^2)*t + 57.4 ft/s
To get the position equation we need to integrate over time again, to get:
p(t) = (1/2)*(-32 ft/s^2)*t^2 + (57.4 ft/s)*t + p0
Where p0 is the initial height of the object, as it was launched from the ground, then the initial position is p0 = 0ft.
then the position equation (that is the function that represents the height of the object as a function over time) is:
p(t) = (1/2)*(-32 ft/s^2)*t^2 + (57.4 ft/s)*t
p(t) = (-16 ft/s^2)*t^2 + (57.4 ft/s)*t
The speed of sound in dry air at 68 degrees F is 343.2 meters per second. Which of the expressions below could be used to compute the number of kilometers that a sound wave travels in 10 minutes (in dry air at 68 degrees F)?
Answer:
babe hehheheheh i think we well be this cute
Step-by-step explanation: hahahaha we r this cute
Answer:
...........
Step-by-step explanation:
Help. me math 20 points
Answer:
1st angle will 60degree =90-60,. 1nd angle =60 degree.vertically opposite angle,
ABC is translated left 3 units to form the image ∆A′B′C′.
What are the coordinates of the vertices of ∆A′B′C′ ?
Enter your answer by filling in the boxes.
Answer:
The coordinates of triangle A'B'C' are A'(-5,-1) B'(-1,-1) C'(-1,2)
Step-by-step explanation:
Translations
Given a point A(x,y), translating A by h units to the left will map it to A'(x-h,y).
The triangle ABC has coordinates: A(-2,-1) B(2,-1) C(2,2). Then translating the triangle left by h=3 units, the points are:
A'(-2-3,-1) B'(2-3,-1) C'(2-3,2)
A'(-5,-1) B'(-1,-1) C'(-1,2)
The coordinates of triangle A'B'C' are A'(-5,-1) B'(-1,-1) C'(-1,2)
Find a value of M that will give you a system of equations with exactly one solution.
Y=6x+1
Y=mx+1
Given:
System of equations is
[tex]y=6x+1[/tex]
[tex]y=mx+1[/tex]
To find:
A value of M that will give you a system of equations with exactly one solution.
Solution:
A system of equation has exactly one solution if the graph of the equation is neither parallel nor coincident.
Slope of parallel lines are same. But in the given equations if slopes are same then both the system of equations have two same equations which represent coincident lines.
For one solution, [tex]m\neq 6[/tex].
So, the value of m can be any real number except 6 because for m=6.
Thus, [tex]m=R-{6}[/tex].
1 is a real number which is not equal to 6.
Therefore, one possible value of m is 1.
Help me please todays the last day for missing work and I have to get those done
Answer:
1. 2x+7
2. -3x+2
3.-3x-4
4. x-1
5. -14x+1
Step-by-step explanation:
I hope this helps!
Answer:
1. 2x+7
2. -3x+2
3. -3x-4
4. x-1
Step-by-step explanation:
4-13. Below are some methods that students from another class used to find the number of tiles in problem 4-12. Which ones are like the ones that students in your class came up with? Which ones are new or different? For each new method, describe how the student might have been seeing the picture frame to come up with that method. Then add any new strategies to your resource page. Jonas' Method: 4·10−4 Curran's Method: 10+9+9+8 Tina's Method: 10+10+8+8 Ramond's Method: 10·10−8·8 Alyssa's Method: 9·4 TJ's Method: 4·8+4
Answer:
Wakaranai
Step-by-step explanation:
Round the number above to the place where the 3 is located. 5,684.937
Answer:
5684.940
there is your answer
What is the answer to this equation? 3y-6/9=4-2y/-3? Pls help I need it for tomorrow I’ll give brainiest!
Answer:
11y+10/3 if you're looking to simplify. hope this helps!!
Answer:
y=2
Step-by-step explanation:
multiply each side by 27 to get rid of the denominator
3(3y-6)= -9(4-2y) is what is left
solve
9y-18=-36+18y
9y=18
y=2
You can also plug in 2 to the equation to check.
Help me pleaseeeeeee I put an atachment
which ordered pair could be removed from the graph to create a set of ordered pairs that represents a function?
A. (-4,2)
B. (-4,1)
C. (1,3)
D. (2,-3)
Answer:
If you remove either A or B you will have a function :)
Step-by-step explanation:
Mark me brainliest please i would really appreciate it :)
1. Mr. Sanchez has a bag of marbles. The bag contains 4 red marbles, 3 green marbles, and 3 blue marbles. Mr. Sanchez will be randomly selecting one from his bag. What is the probability in decimal form that the marble selected will be red
Answer:
0.4 aka 4/10 or 2/5
Step-by-step explanation:
total is 10 and there is 4 red marbles
The population of Laredo, Texas, was about 215,500 in 2007. It was about 123,000 in 1990. If we assume that the population growth is constant, write a linear equation with an integer slope to represent p, Laredo’s population t years after 1990.
The equation of population of Laredo, Texas is :
- [tex]p=\frac{92500}{17}t+123000[/tex]
"Population Growth"Given:
t = the number of years after 1990.So, for 1990, t = 0. So the coordinate is (0, 123000).For 2007, t = 17. So the coordinate is (17, 215500).Using point slope formula:
point slope= [tex]\frac{p-123000}{t-0point slope=\frac{215500-123000}{17-0}\\\frac{p-123000}{t}point slope=\frac{92500}{17}\\p-123000point slope=\frac{92500}{17}t\\ppoint slope=\frac{92500}{17}t+123000[/tex]Learn more about "population growth":
https://brainly.com/question/12228859?referrer=searchResults
The data set shows the ages of guests on a recent tour of a museum: 34, 18, 29, 60, 44, 51, 65, 68.
A. What is the five-number summary of the data? Show your work.
B. How could the museum curator use this information to improve sales at the gift shop?
I already did part A I just need help on part B
The five-number summary is
Min: 18 Max: 68 Median: 47.5
Q1: 31.5 Q3:62.5
Answer:
Step-by-step explanation:
Given the data:
34, 18, 29, 60, 44, 51, 65, 68.
Ordered data :
18, 29, 34, 44, 51, 60, 65, 68
The five number summary :
Sample size = 8
Minimum = 18
Lower quartile (Q1) = 1/4 (n+1) = 9/4 = 2.25
(2nd + 3rd term) / 2
= (29 + 34) / 2 = 31.5
Using calculator :
Median (Q2) = 47.5
Upper quartile (Q3) = 62.5
Maximum = 68
2.) With the information above, the museum curator could use this to guide their stock preference by stocking up gifts suitable for adults and youths, stockingbup with children's gift may be a bad options as visitors are atleast 18 years of age.
In the figure, j∥k and m∠2 = 117°.
What is the m∠3?
Answer:
sorry if i'm late but the answer is 63
Step-by-step explanation:
i know because i took the test
Pls help due ASAP
Show workings
Answer:
YW = 6
Step-by-step explanation:
a^2 + b^2 = c^2
x^2 + 8^2 = 10^2
x^2 + 64 = 100
x^2 + 64 - 64 = 100 - 64
x^2 = 36
√x^2 = √36
x = 6
Line YW is equal 6 feet
Step-by-step explanation:
I used the pythagorean theorem
1. 8 squared plus b squared equals 10 squared
2. 64 plus b squared equals 100
3. 100 - 64 equals 36
4. B squared equals 36
5. square root both sides
6. b equals 6 feet
14.4 A Book and a Cake A book costs $45. Sales tax on the book is 7%. Write two different expressions that represent the final cost of the book in dollars. Pne of the expressions should use only a single multiplication and no other operations.
A cake that costs $32 is on sale for 15% off and there are no taxes. Explain why the expression (0.85).32 represents the final price of the cake in dollars
(0.85). 32 represents the final price of the cake in dollars because...
Answer: 1. $45*1.07 | $45(1.07) 2. (0.85)*32 represent the final price of the cake in dollars because (0.85) is the 15% off in decimals.
Step-by-step explanation:
1 if you multiply 45 by 1.07 it will be 48.15 and that's the final cost of the book, same with $45(1.07) is just another way to represent the multiplication.
2 As I said the 0.85 represent the 15% off, and when you multiply it will be less.
Camels are know to lose about 25% of their body weight during times when food and water are scarce. if a camel weighed 1,588 pounds and then lost 25% of its weight, which of these is closest to the amount of weight that the camel lost?
The water slides have 1 temporary employee and 24 permanent employees. What percentage
of the employees at the water slides are temporary
Answer:
4%
Step-by-step explanation:
1/25 = 0.04 = 4%
Answer:
chu papi munanyo
Step-by-step explanation:
Find the 77th term for each sequence(use the equation: an=a1+(n-1)d)
A)5,10,15,20,25...
B)17,14,11,8,5
Step-by-step explanation:
[tex]an = a1 + (n - 1)d \\ d = a2 - a1 \\ a1 = 5 \\ a2 = 10 \\ d = 5 \\ an = 5 + (n - 1)5 \\ an = 5n \\ a77 = 5 \times 77 = 385[/tex]
For B
[tex]a1 = 17 \\ a2 = 14 \\ d = 14 - 17 = - 3 \\ an = 17 + (n - 1) \times - 3 \\ an = 17 - 3n + 3 \\ an = 20 - 3n \\ a77 = 20 - 3 \times 77 \\ a77 = - 211[/tex]
Can anyone help me with this question please .
Answer: y=-(5/4)x+5
Step-by-step explanation:
The parent function of a linear line is y=mx+b where m is the slope and b is the y intercept so:
Y=-(5/4)x+5
-8 = n/7 can someone solve this w work pleath
Answer: n = -56
Step-by-step explanation:
first, we multiply both sides by 7, un order to get the variable by itself. this is the important step.
-56 = n
then, we just simply swap the sides in order to get the variable on the left. (not necessary, just looks like a proper equation that way.)
n = -56
work:
-8 = n/7
x7 x7
-56 = n
n = -56
just question # 2 I'll give you 15 points and brainly
i really need help , can anybody please help me???
Answer:no, there are always other ways. LIke this y> x.
Step-by-step explanation:
I use schoology too
3(-4x - 8) = (Use distributive property to rewrite each expression)
Help me. I'll mark brainiest
How many solutions does 2x = 2x -9 have?
Answer:
no solutions. a number cannot equal itself -9
A pair of shoes at the store cost $55 on the rack. If the store has a
7.2% sales tax, what would the final price of the shoes be?
Answer:
47.8
Step-by-step explanation:
Franco is solving a system of linear equations algebraically. He find that there
are an infinite number of solutions. Which is a possible step in his solution?
Answer:
B. 5=5
Step-by-step explanation:
C. Ms. James buys her sugar in 5-pound bags. She wants to buy enough sugar to make 12 batches of cookies for the school bake sale. How many bags of each type of sugar, brown and white, should she buy? Show your work. (1 pound = 16 ounces)