Assignment Goal:
Describe the motion of a rocket using a quadratic model.
Instructions:
Respond to each of the questions. Your solutions must document all of your work.
Scenario: A toy rocket is launched straight upward from a pad 10 ft above ground level with an initial velocity of 80 ft/sec.
Use the general formula for the vertical position (height) of an object moving under the influence of gravity s=-1/2 gt^2+ v_0 t+ s_0 where s0 is initial vertical position, v0 is initial velocity, and s is vertical position of the object.
1. Define a model (equation) to express the vertical position (height) of the rocket s (in meters) above ground level t seconds after launch. Let g = 32 ft/sec2.
Answer:
Your question is a little unclear if it wants meters or feet because it has everything listed in nicely feet then you say "(in meters)" at the bottom.
If it wants feet, the answer is
[tex]s=-16t^2+80t+10[/tex]
If it wants meters, the answer is
[tex]s=-4.8768t^2+24.384t+3.048[/tex]
Step-by-step explanation:
To solve, use the quadratic equation.
[tex]y=ax^2+bx+c[/tex]
It wants the x-axis to represent time (t) and the y-axis to represent position (s)
[tex]s=at^2+bt+c[/tex]
It gives us a formula that tells us what a, b, and c equal.
[tex]s=(-1/2)gt^2+v_0t+s_0[/tex] where g is gravity, v_0 is the initial velocity, and s_0 is the initial starting position.
From here, it is just a plug and chug to get the final answer.
[tex]s=(-1/2)(32)t^2+80t+10\\s=-16t^2+80t+10[/tex]
If it wants everything in meters, just convert feet to meters at every step. You can search to find that 1 meter=3.28084 feet.
George read 72% of a book. If he reads 270 pages how many pages are there in the book?
Answer:
375 pages
Step-by-step explanation:
270 = 72%
=> 270/72 = 72/72
=> 3.75 = 1%
=> Number of Book pages = 375
Hoped this helped.
g What are the dimensions that will maximize the area of the window if you have 20 ft total for the perimeter of the window
18)Angel A and angle b are vertical angles so they are congruent angles. If angle A is (4x+5)° and angle B (-2(x-17.5))° Find the measure of angle B
Answer:
Measure of Angle B = 25°
Step-by-step explanation:
Something to keep in mind: Angle A and B are Vertical Angles so they will always be equal
so;
Angle A = Angle B
(4x + 5) = (-2(x - 17.5))
4x + 5 = -2x + 35 (<= Solved by distributive property)
6x + 5 = 35
6x = 30
x = 5
Now we can find the measure of Angle B, by substituting x by 5 in the B equation;
-2 (x - 17.5) = Angle B
-2 (5 - 17.5) = Angle
-2 (-12.5) = Angel B
25 = Angle B
so measure of angle B = 25
Hope this helps!
QUICK! I NEED HELP ASAP
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w−(−1/3)=2.05
Enter your answer as a mixed number in simplest form in the box.
w =
Answer:
w=6
Step-by-step explanation: you should just look it up on line
Answer:
The correct answer is 1 43/60
Step-by-step explanation:
you convert 2.05 to a fraction and get 2 23/60 - (-1/3) = 1 43/60
i also took the test
One x-intercept for a parabola is at the point (-0.4,0). Use the quadratic formula to find the other x-intercept for the parabola defined by this equation: y = 5x2 + 7x + 2 Separate the values with a comma. Round, if necessary, to the nearest hundredth.
Answer:
-1
Step-by-step explanation:
Set y=0.
[tex]5 {x}^{2} + 7x + 2 = 0 \\ x = \frac{ - 7± \sqrt{ {7}^{2} - 4(5)(2)} }{2(5)} \\ x = \frac{ - 7± \sqrt{ 9} }{10} \\ x = \frac{ - 7±3}{10} \\ x = - \frac{2}{5} \: \: \: \: or \: \: \: \: - 1[/tex]
The x-intercepts are - 0.4 and - 1.
The other x-intercept is - 1.
Answer: 1,0
Step-by-step explanation:
Suppose that you take 1000 simple random samples from a population and that, for each sample, you obtain a 95% confidence interval for an unknown parameter. Approximately how many of those confidence intervals will contain the value of the unknown parameter?
Using the interpretation of a confidence interval, it is found that approximately 950 of those confidence intervals will contain the value of the unknown parameter.
A x% confidence interval means that we are x% confident that the population mean is in the interval.
Out of a large number of intervals, approximately x% will contain the value of the unknown parameter.In this problem:
95% confidence interval.1000 samples.0.95 x 1000 = 950
Hence, approximately 950 of those confidence intervals will contain the value of the unknown parameter.
A similar problem is given at https://brainly.com/question/24303674
please help.. no links
Answer:
The first answer
Step-by-step explanation:
what is the value of n in the equation? 2.6 x 10^-2 = (5.2 x 10^7) / (2 x 10^n)
Answer:
-9
Step-by-step explanation:
2.6×10^-2 = (5.2×10^7)/(2×10^n) = (5.2/2)×10^(7-n)
2.6×10^-2 = 2.6×10^(7-n)
The mantissas are equal, so we can equate the exponents:
-2 = 7 -n
n = 7 +2 = 9 . . . . . . add n+2
The value of n in the equation is 9.
-
What are the odds of winning a game, if the probability of winning the game is 4/10
Answer:
40%
Step-by-step explanation:
4/10 = 40/100
40/100 as a percentage is 40%
the domain and range in this graph will be:
a. Domain : all real nums, Range : all real nums
b. Domain : - 4 Range: 2
c. domain: 2 range : 5
Answer:
a.
Step-by-step explanation:
this is a line going from -infinity to +infinity in x and in y direction.
for b or c to be right the function would have to be a single point, as nothing else is valid as value.
Two integers are relatively prime if, and only if, their greatest common divisor is 1. For example, 2 and 3 are relatively prime, 1 and 1 are relatively prime, but 2 and 2 are not. You toss two dice, one blue and one gray. What is the probability that when the dice stop rolling that the pip count on the blue die is relatively prime to the pip count on the gray die and the gray die is showing six pips
Answer:
A woman wants to measure the height of a nearby building. She places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building's shadow is 184 ft, and the pole casts a shadow that is 5.5ft long. How tall is the building? Round your answer to the nearest foot. (The figure is not drawn to scale.)
Step-by-step explanation:
A woman wants to measure the height of a nearby building. She places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building's shadow is 184 ft, and the pole casts a shadow that is 5.5ft long. How tall is the building? Round your answer to the nearest foot. (The figure is not drawn to scale.)A woman wants to measure the height of a nearby building. She places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building's shadow is 184 ft, and the pole casts a shadow that is 5.5ft long. How tall is the building? Round your answer to the nearest foot. (The figure is not drawn to scale.)A woman wants to measure the height of a nearby building. She places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building's shadow is 184 ft, and the pole casts a shadow that is 5.5ft long. How tall is the building? Round your answer to the nearest foot. (The figure is not drawn to scale.)
16.12 divided by 52 QUICK
0.31
Ok Hope it’s correct ;)
For every 0.3048 meters, there is one foot. Determine the number of feet in 7.9248 meters. Use paper to support your answer.
There are ??
feet in 7.9248 meters.
A pair of Beats Wireless Headphones normally cost $299.99. They are on sale for $229.99. Find the percent of markdown.
Answer:
$159.99
Step-by-step explanation:
Simplify the expression: (5.2 + 6.8)x - (25 ÷ 5)x
Answer:
7x
Step-by-step explanation:
(5.2 + 6.8)x - (25 ÷ 5)x
12x-(25divied by 5)x
12x-5x
7x
2.(04.05)
Kelsey painted 1/4
of her bedroom in 3/7
of an hour. At this rate, how long would it take her to paint the entire room?
A.3/28 of a hour
B.28/3 of an hour
C.12/7 of an hour
D.7/17 of an hour
Answer:
1/4 in 3/7th of an hour
1/4 = 3/7
multiply by 4
1 (whole room) = 12/7 (of an hour)
Answer:
12/7 of an hour
Step-by-step explanation:
I couldnt do the asnwer earlier but here it is the person above gave the answer worked out
Help pls
A hot-air balloon is 1550 feet off the ground and its altitude is slowly changing at a constant rate of −7 1/2 feet per second.
How many seconds, s, will it take for the balloon to drop to below 465 feet?
Drag and drop a symbol and value to correctly complete the solution to this inequality.
Answer:
s> 144 2/3
Step-by-step explanation:
I took the test in k12 and i got it right so yea !
Answer: the other person was right
Step-by-step explanation:
The perimeter of a rectangle is 20x -18 feet. If the width of the rectangle is 3x -1 feet, write an expression that can represent the length of the rectangle.
Answer:
l = 7x - 9
Step-by-step explanation:
The length of the rectangle is represented by the expression "7x - 9".
What is the perimeter of the rectangle?The perimeter of a rectangle is defined as the addition of the lengths of the rectangle's four sides.
The perimeter of a rectangle is given by the formula:
Perimeter = 2 (length + width)
Therefore, we can set up the equation:
20x - 18 = 2 (length + (3x - 1))
Expanding the parentheses and combining like terms, we get:
20x - 18 = 2 × length + 6x - 2
Moving all the terms to one side, we get:
14x - 18 = 2 × length
Dividing both sides by 2, we get:
7x - 9 = length
Thus, the rectangle's length is expressed by the expression "7x - 9".
Learn more about the Perimeter of the rectangle here:
brainly.com/question/15287805
#SPJ2
in the Sahara desert one day it was 136°F in the gobi desert a temperature of -50°F was recorded what is the difference between these two temperatures
Answer:
186 °F
Step-by-step explanation:
The difference is found by subtracting the smaller from the larger:
136 -(-50) = 136 +50 = 186
The difference between the two temperatures is 186 °F.
Which of the following is the greatest common factor of 48 and 32?
Answer:
8
Step-by-step explanation:
cus...
Solve
-4(-2)
A. -8
B. -6
C. -2
D. 8
Answer:
D
..............................
(C+X)/X
can be simplified as:
[tex] \frac{(c + x)}{x} \\ \\ \frac{c + x}{x} [/tex]
it's can simplify sorry
solve the inequality x-3 < 3x -7
Answer:
x > 2 or 2 < x
Step-by-step explanation:
x-3 < 3x-7
-3 < 2x-7
4 < 2x
2 < x
x > 2
if 6sinx=3cosx the value of tanx is
Step-by-step explanation:
tanx=sinx/cosx=3/6=1/2
I
Graph the direct variation equation. Y=1/3x
Which graph is correct
Find ML of the trapezoid
Answer:
Formula for Volume of a Trapezoidal Prism. If the prism length is L,trapezoid base width B, trapezoid top width A, and trapezoid height H, then the volume of the prism is given by the four-variable formula: V(L, B, A, H) = LH(A + B)/2. In other words, multiply together the length, height, and average of A and B.Step-by-step explanation:
Please help!!!
A. (-4,2)
B. (-4,-2)
C. (2,-4)
D. (2,4)
Answer:
A
Step-by-step explanation:
Have a nice day
Find the value of x and y.
(In picture)
Answer:
x is 4, and y is 3
Step-by-step explanation:
Please look at picture for question.
Answer:
[tex]\frac{-1}{5}m -\frac{4}{5}[/tex]
Step-by-step explanation:
Combine the like terms (2/5) and (-3/5) m
This will give you -1/5
place the remainder of the equation.
if you like my answer, please mark me brainliest !! thanks !! <3
