A boy is launching a toy rocket he got for his birthday from the top of an 80 ft building. The function representing
the height is f(0) = -16x? +64x + 80 where x represents time in seconds.
How many seconds did it take the rocket to reach it's maximum height?
A
144 sec
B)
2 sec
Eliminate
1.5 sec
D)
128 sec
Answers
Answer:
2 seconds, assuming the "?" in the equation is supposed to be ^2 (the exponent of 2): f(h) = -16x^2 +64x + 80
Step-by-step explanation:
You can either graph the functuion or take the first derivative to find the maximum height. The first derivative will give us the slope for a values of x. The slope at the top height of the rocket is zero, since it has stopped and is starting it's way back down.
First Derivative:
f(x) = -16x^2 +64x + 80
f'(x) = -32x + 64
Set this equal to zero and solve for x
0 = -32x + 64
x = 2 seconds.
Use 2 seconds in the original equation to find the height at 2 seconds.
f(2) = -16x^2 +64x + 80
f(2) = -16(2)^2 +64*(2) + 80
f(2) = 144 feet
Graph:
A graph is attached. You can locate the maximum at (2,144)
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Step-by-step explanation:
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How to convert minutes and seconds into grades.
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Answer:
Step-by-step explanation:
To convert time to time, kernel time with 24 (number of time in a day).
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12 min is .2 hours
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Answers
Answer:
y=5x+200
Step-by-step explanation:
x=number of handbags
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Answers
Answer:
slope = 3/2
Step-by-step explanation:
Step 1: Select two points from the graph.
(3,0) and (1,-3) are two points on the graph.Step 2: Apply the formula to find slope- [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].
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Your visually impaired friend asked you to enlarge your notes from class so he can study. You took notes on 8.5-inch by 11-inch paper. The enlarged copy has a smaller side with a length of 10 inches. What is the scale factor of this dilation?
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Answers
Answer:FINDING A SCALE FACTOR Your visually impaired friend asked you to enlarge your notes from class so be can study. You took notes on 8.5-inch by 11-inch.
Step-by-step explanation:thank you
The scale factor is 20/17.
According to the question, you took notes on a paper with dimensions 8.5 inches × 11 inches.
the breadth of the paper is 8.5 inches
the length of the paper is 11 inches
Now, to make an enlarged copy, you used a paper that has its smaller side dimension of 10 inches.
Which means the breadth of the new paper is 10 inches.
So, if we calculate the ratio of the breadths we get the scale factor.
k = 10 / 8.5
k = 20/17 is the scale factor of dilation.
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Answer:
D) the bridge is about 381.16 ft. above the river, and the length of the bridge above the arch is 1,792.58 ft
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Answers
Step-by-step explanation:
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Answer:
20,000
Step-by-step explanation:
Answer:
%7 1400
100 x
7x=140000
x=20000$
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Answer:
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Step-by-step explanation:
total medicine = 9/50 liter
evenly divided into 12
so 1 prescription = 9/50 / 12
= 9/50*12
=3/50*4
=3/200
Having trouble using logarithmic differentiation!
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Answer:
Having trouble using logarithmic differentiation!
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Answer:The last option is correct.
Step-by-step explanation:
On the accompanying grid, draw and label quadrilateral ABCD with points A(1,2), B(6,1), C(7,6), and D(3,7). On the same set of axes, plot and label quadrilateral A′B′C ′D′, the reflection of quadrilateral ABCD in the y-axis. Determine the area, in square units, of quadrilateral A′B′C′D′.
Answers
Answer: Refer to figure 1 for the diagram needed.
A ' = (-1, 2)
B ' = (-6, 1)
C ' = (-7, 6)
D ' = (-3, 7)
Area = 24 square units
============================================================
Explanation:
Start by drawing an xy axis. Plot the given points A,B,C,D on this grid.
To reflect any given point over the y axis, we apply this rule
[tex](x,y) \to (-x,y)[/tex]
which means we change the sign of the x coordinate, but keep the y coordinate the same. For example, a point like A(1,2) moves to A ' (-1,2). The other points are handled in a similar fashion.
After all of the points have been reflected, you'll get what is shown in figure 1.
------------------
To find the area of quadrilateral ABCD, we can form a bounding box as small as possible around the quadrilateral. Refer to figure 2.
The area of rectangle FEHG is 6*6 = 36 square units
Then we subtract off the areas of these four outer triangles
Triangle AED = 5*2/2 = 5Triangle AFB = 1*5/2 = 2.5Triangle BCG = 1*5/2 = 2.5Triangle CDH = 1*4/2 = 2Meaning we'll end up with 36-5-2.5-2.5-2 = 24 as the area of quadrilateral ABCD. Because a reflection is a mirror copy, quadrilateral A'B'C'D' will have the same area as ABCD.
Richard sold cupcakes and cookies yesterday. Each cupcake sold for $1.75 and each cookie sold for $0.75. At the end of the day, Richard had sold $49.25 worth of cookies and cupcakes. If he sold 35 cupcakes and cookies combined, how many cupcakes were sold and how many cookies were sold?
Answers
Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answer:
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Answers
Answer:
x = -6
Step-by-step explanation:
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Follow Me:-
[tex]3x + 4 + 2x + 2 = - 24 \\ \\ = > 5x + 6 = - 24 \\ \\ = > 5x = - 24 - 6 \\ \\ = > 5x = - 30 \\ \\ = > x = \cancel \frac{ - 30}{5} \\ \\ = > x = - 6[/tex]
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Answer:
[tex]x=2[/tex]
Step-by-step explanation:
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First off we can distribute the 2.5 and the 4
Now our equation is [tex]15x-10=10+6+2x[/tex]
subtract [tex]2x[/tex] from both sides
[tex]13x-10=16[/tex]
add [tex]10[/tex] to both sides
[tex]13x=26[/tex]
Divide both sides by [tex]13[/tex]
[tex]x=2[/tex]
(ASAP) I HAVE C- IN MATH RIGHT NOW AND I NEED TO GET UP MY GRADE PLSSS HELP
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Answer:
Step-by-step explanation:
The product of a number, n, and 0.4 is 8:
(n)(0.4) = 8
n = (8/0.4)
n = 20
Nick sketches the graph of y = 0.5' for x 20 y 0.5 of Make one criticism of his sketch.
Answers
Answer:
the graph would just be a straight line going up at points (0, 0.5)
Step-by-step explanation:
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Answer:
Below!
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And
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Answers
Answer:
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Answers
Answer:
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Answers
Answer:
The student is correct.
Step-by-step explanation:
Given that 5x² = 20:
It is true that the value of x = 2 because 2² = 4, and when you multiply 4 with 5, you'll get a product of 20:
5x² = 20
5(2)² = 20
5(4) = 20
20 = 20
Therefore, the student is correct that x = 2.
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Answers
Answer:
y= 132, x= 32.6
Step-by-step explanation:
Let me know if this is right!
Hope it helps
Y= 132, X=32.6
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Answers
Answer:
The answer is 39.3
Step-by-step explanation:
81.6 - 3 = 78.6
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Answers
~combination
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[tex] \large \sf = C(9,3) = \frac{9!}{(9-3)!.3!} [/tex]
[tex] \large \sf = \frac{9!}{6!.3!} [/tex]
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[tex] \large \sf = \frac{362880}{720.6} [/tex]
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~ nice to help you ^^
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Answers
Answer:
m=14+10.50h
Step-by-step explanation:
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he's going to get 14 dollars, plus 10.50 times however many hours he works.
What is the length of segment AB?
A-5
B-6
C-8
D-10