A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the maximum height reached by the rocket, to the nearest tenth of a foot.
y=-16x^2+228x+71
Answers
Answer:
883.3
Step-by-step explanation:
thats all.
An equation is formed of two equal expressions. The maximum height reached by a rocket, to the nearest tenth of a foot is 883.3 feet.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
To find the maximum height through which the rocket will reach, we need to differentiate the given function, therefore, we can write,
y=-16x²+228x+71
dy/dx = -16(2x)+228
Substitute the value of dy/dx as 0, to get the value of x,
0 = -32x + 228
228 = 32x
x =7.125
Substitute the value of x in the equation to get the maximum height,
y=-16x²+228x+71
y=-16(7.125²)+228(7.125)+71
y=883.3feet
Hence, the maximum height reached by the rocket, to the nearest tenth of a foot is 883.3 feet.
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Related Questions
In 1-4, write an equation in slope-intercept form to represent each table (just the first 4)
Answers
Answer:
Q1 y = 17/2x - 2
Q2 y = -3x + 14
Q3 y = 1/4x
Q4 y = 1/8x + 10
Step-by-step explanation:
See, the problem here is, you did everything to NOT convert the decimals into fractions. You would´ve had the right answers if you just learned to deal with the fractions. I´ll only going to be explaining 2 questions since there´s four of them.
Question Two
You take two points from the table, then you do y2 - y1 over x2 - x1. -1 - 5 / 6 - 3 = -6/3 and 3 divided by -6 is -3. Which should give you "m" the slope. Which the slope for this question is -3. To find "b" our y-intercept, we will need to plug in the points from one of the two points we took in the chart into the format of y = mx + b. I chose to do, 5 = -3(3) + b. Multiply m times the x, 5 = - 9 + b. So now, we add 9 to itself to cancel itself out and add it to 5. Which gives us, 14 = b. So our equation is, y = -3x + 14
Question 3
This one is relatively easy, since looking at the table we know theres no b or m. Just a constant rate times x. The same thing we did the last question, take two points from the equation. y2 - y1 over x2 - x1. 1 - 0 over 4 - 0. Which gives us 1/4. 1/4 is our constant rate of change. y = 1/4x
The equation in slope intercept form to represent each table is
Q1 y = 17/2x - 2 Q2 y = -3x + 14 Q3 y = 1/4x Q4 y = 1/8x + 10What is slope intercept form ?You ought to be familiar with two-variable linear equations. You should specifically be aware that the graph of these equations is a line. Check out our introduction to two-variable equations if this is new to you.Additionally, you should be knowledgeable with the y-intercept, x-intercept, and slope of linear equations.Y = mx + b, where m denotes the slope and b the y-intercept, is how the equation of the line is expressed in the slope-intercept form. We can see that the y-intercept of the line in our equation, y = 7 x + 4, is 4.Q2 : Then, you apply y2 - y1 over x2 - x1 over the two points you took from the table. In other words, 3 divided by -6 is equal to -3. This ought to give you the slope "m". Which means that this question has a slope of -3. We must enter the points from one of the two points we picked from the chart into the formula y = mx + b in order to determine "b," our y-intercept. I decided to do 5 = -3 (3) + b. 5 = - 9 + b when the x is multiplied by m. Thus, we add 9 to itself in order for it to cancel out and then add it to 5. The result is that 14 = b. Our equation is therefore y = -3x + 14.Q3 : This one is quite simple because it is obvious from the table that there is no b or m. just a fixed rate multiplied by x. Take two points out of the calculation, just like we did with the previous question. Over x2 - x1 is y2 - y1. 1 - 0 over 4 - 0. thereby giving us 1/4. Our constant rate of change is 1/4. y = 1/4xLearn more about Slope intercept form refer :
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a car travels at a speed of 25 miles per hour. the distance it travels in h hours given by the equation d(h)=25h.
estimate how far he will be 2.5 hours into his trip
Answers
Please help me find the area of this!!! 15 points!!
Answers
Answer:
[tex]A\approx1608.7\text{ yards}^2[/tex]
Step-by-step explanation:
We can use the alternate formula for the area of a triangle:
[tex]A=\frac{1}{2}ab\sin(C)[/tex]
Where a and b are the side lengths, and C is the angle between the side lengths.
We know that one side length is 60 and the other is 70.
The angle between them is 50°.
So, substitute 60 for a, 70 for b, and 50° for C. This yields:
[tex]A=\frac{1}{2}(60)(70)\sin(50)[/tex]
Evaluate using a calculator. Make sure you’re in Degrees Mode.
Therefore, the approximate area is:
[tex]A\approx1608.7\text{ yards}^2[/tex]
As a salesperson, during the week, you are paid $50 plus $5 per sale.
This week you want your pay to be more than $100. Write an inequality for
the number of sales you need to make. Use x as your variable. *
Answers
Answer:
50+5x=100
Step-by-step explanation:
50 dollars is what you start with
you earn 5 dollars per sale
x represents the number of sales you need
If you need to know what x is, the answer is 10
Hope this helps!
1) A ratio of 2 to 10 is the same as
*
02/14
2/12
O 1/5
2/5
Answers
Answer:1/5
Step-by-step explanation:
Two and ten divided by two equals 1 and 5 so 1/5
Which equation represents the relationship “4 less than a number is 10?”
Answers
Which 7-3 would be 4
Answer:
x - 4 = 10
x = 14
Step-by-step explanation:
Any variable can be used to represent the number, I choose to use "x" in this case.
x - 4 = 10
Inverse operations;
x - 4 = 10
+4 +4
x = 14
The temperature one cold morning is -5 °C. By noon, the temperature had increased by 3 degrees and at 4 PM the temperature was zero. The increase from noon to 4 PM was
Answers
Answer:
2°C
Step-by-step explanation:
Morning
-5°C
Noon (+3)
-2°C
4pm (+?)
0°C
Equation I used:
(-5) + (3) + x = 0
I'm assuming you're being taught how to work with negative intervals in algebra? Don't worry, that's why you're practising with temperature. Instead of asking online, try using the progress your teacher taught you. If you have notes, look back at them. Practise makes perfect :)
Find the value of in the triangle shown below.
9
7
Answers
Answer:
The math department needs to buy new textbooks and laptops for the computer science classroom. The textbooks cost $116.00 each, and the laptops cost $439.00 each. If the math department has $6,500 to spend and purchases 30 textbooks, how many laptops can they buy
Can someone help me on this pls?
Answers
Answer:
2 2/5
Step-by-step explanation:
Brainlest-Pls help me pls thank you sm In advance
Answers
Answer: 90 divided by 45 equals 2 45+45=90
Step-by-step explanation:
Roll a number cube. If the number cube comes up odd, you win the same number of points as the
number on the cube. If the number comes up even, you lose 4 points.
What is the expected number of points per roll?
-0.25
-0.5
0
Oo oo
0.25
0.5
Answers
Answer:
-0.5
Step-by-step explanation:
what is 3.78 plus 8.94
Answers
Answer:
The answer is 12.72 hope this helps
Step-by-step explanation:
You'll add them it's just like simple addition but you just have to know where the decimal point will be after adding
3.78
+8.94
12.72
When you are adding you start from the back with back I mean the end so when you add 8 plus 4 it's going to be 12 then you write or type the 2 and then carry the 1 and add it to the 7 which is going to be 8 then you add the 8 to the 9 which is going to be 17 that's why we have the 7 there then you carry 1 and add it to the 3 which is going to be 4 and then 4+8 is going to be;12
That's how we got the 12.72
Hope you understand
I WILL MAKE YOU BRAINIELIST.
what is 37829192976277×2283838328282
Answers
Answer:
8.6395761e+25
Step-by-step explanation:
no
Multiply : 1 2/5 x 1/4
Answers
Answer:
0.35
Step-by-step explanation:
Answer:
7/20
Step-by-step explanation:
1 2/5 ×1/4=7/20
Daniel baked 12 pies in 6 days Rates
Answers
what’s the mode,range and shape?
Answers
Answer:
range=4.5-0.5 (highest number less than lowest number)=3.0
what’s this in standard form
Answers
Answer:
0.614
Step-by-step explanation:
What is the sales tax on a $14,500 truck if the tax rate is 9%. What is the total price of the truck
after the sale tax?
Answers
Answer:
15805
Step-by-step explanation:
14,500×9÷100=1,305
14,500+1,305=15,805
What's the answer to this?
Answers
Answer:
steeper
Step-by-step explanation:
D) Vertically compressed
E) Flatter
=====================================================
Explanation:
An example would be if a = 0.5 which leads to the graph being half as tall as it used to be since 1/2 = 0.5; notice how a = 0.5 makes 0 < a < 1 true. Since the graph is squished vertically, the graph is flatter.
We don't have a reflection over the x axis since 'a' is not negative.
----------------
Extra info:
If a > 1 then the graph is stretched vertically to make it taller than it used to be. Eg: a = 5 leads to the graph being 5 times taller than before which also would make it steeper too. The value of d handles the vertical shifting. If d > 0, then we shift up d units. If d < 0, then we shift down |d| units.please help thank you
Answers
Answer:
B
Step-by-step explanation:
A=4 so its wrong cause the original one is 10-12=-2
In which equation does x = 15?
A. 18=-5x-2
B. -9+ 3x = 36
C. 4x + 3 = 15
D. 2x+4 =-36
ОА
OB
D
Answers
What is the equation represented by this line?
ANSWER ASAP GIVING BRAINLEST
Answers
Answer:
the linear equation is y= -4/3x + 2
Answer:
y=-x+2
Step-by-step explanation:
doing my sister's homework plz help
Answers
Answer:
5/14
Step-by-step explanation:
what two numbers multiplied = 6 but added = -5
Answers
Answer:
-2, -3
Step-by-step explanation:
-2*-3=6
-2+-3=-5
-2x-3=6
-2+-3=-5
(-2) and (-3) are your answers
Find the length of the unknown side. Round your answer to the nearest whole number. (4 points)
Image of a right triangle with legs labeled 12 meters and 8 meters. Hypotenuse is
unknown.
13 meters
14 meters
200 meters
208 meters
Answers
Answer:
Your anwser is 14 hopw this helpss
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
the answer is 14 i know this because the person before me said the same thing.
6. You have 220 feet of fencing material to enclose a rectangular area for your pet animals. Let x = the length of the rectangular enclosure. (a) [7 points] Set up the function A(x) that represent the enclosed area. (b) [7 points] What should be the dimensions of the enclosed area? (c) [2 points] What is the maximum area of the enclosed area?
Answers
Answer:
I will start with (c)
(c) What is the maximum area of the enclosed area?
the maximum area of a rectangle is always given by a square figure
since the square has 4 equal sides, each side will be 220 / 4 = 55 ft long
maximum area = 55 x 55 = 3,025 ft²
(b) What should be the dimensions of the enclosed area?
the dimensions would be 55 ft in length by 55 ft in width
(a) Set up the function A(x) that represent the enclosed area.
perimeter of the rectangle = 220
we have 4 equal sides, so
A(x) = x²
solve for x 3(x-8) = -29.7
Answers
Answer:
[tex]x = - 1.9 [/tex]
The answer of this equation is:
1.9
Evaluate f(x) when x=-10
(2x - 4 if -3
f(x) =
\x2 +3 if 10 < x <13
-24
16
No solution
-7
Answers
Answer:
Step-by-step explanation:
-7 is the correct.
Plssss help what is the value of c
Answers
Answer:
5
Step-by-step explanation: The Quadratic Formula uses the "a", "b", and "c" from "ax2 + bx + c", where "a", "b", and "c" are just numbers; they are the "numerical coefficients" of the quadratic equation they've given you to solve.
I beg anybody please
Answers
Answer:
if no one answers pic b cuz i got good luck
Step-by-step explanation: