A toy rocket was launched from the ground. The function f(x) = -16x2 + 160x shows the height of the rocket f(x), in feet, from the ground at time x seconds.What is the axis of symmetry of the graph of f(x), and what does it represent?
These are the choices:
x = 10; it takes 10 seconds to reach the maximum height and 10 seconds to fall back to the ground
x = 10; it takes 10 seconds to reach the maximum height and 20 seconds to fall back to the ground
x = 5; it takes 5 seconds to reach the maximum height and 10 seconds to fall back to the ground
x = 5; it takes 5 seconds to reach the maximum height and 5 seconds to fall back to the ground
Answers
Answer D
Vertex of y=-16(x-5)²+400 is (5,400)
Related Questions
Which of the following is the equation of a line parallel to the line y=-x+1 passing through the point (4,1)a. x+y=5 b. x-y=-5 c. x+y=-5 d. -x-y=5
The sum of three consecutive numbers is 84. what is the largest of these numbers? 26 27 28 29
Estimate the difference between 412.02 and 513.87 to the nearest whole number
Find the value and expression for 0 Sin(0) = cos(28)
3 1
3 2
4 3
5 4
6 6
7 7
10 8
12 8
14 9
30 15
Which response best describes outliers in these data sets?
A, Reading has a suspected outlier in the 30-hour value.
B. Reading has a suspected outlier in the 30-hour value, and video has a possible outlier in the 15-hour value.
C. Neither data set has suspected outliers.
D. The range of data is too small to identify outliers.
Answers
Video: 1, 2, 3, 4, 6, 7, 8, 8, 9, 15
Reading Video
Minimum 3 1
1st quartile 4 3
Median 6.5 6.5
3rd quartile 12 8
Maximum 30 15
IQR 8 5
Outliers 30 no outliers
A, Reading has a suspected outlier in the 30-hour value.
Answer:
The correct option is: A,B
Step-by-step explanation:
" An outlier is a odd value which on removing from the data leads to the less mean as calculated mean on including that value ".
There are total 10 data points.
- The table for reading is given as:
3 3 4 5 6 7 10 12 14 30
The mean of this data is given by:
Also the mean after omitting the odd value i.e. 30 we get:
Hence, there is a change in its mean;
Hence the outlier for reading is 30.
- The table for Video is given by:
1 2 3 4 6 7 8 8 9 15
The possible maximum value here is 15 so we will check whether it is an outlier or not.
The mean of this data is given by:
Also the mean after omitting the odd value i.e. 15 we get:
Hence, there is a change in its mean hence 15 is an outlier.
Hence option A and B are true.
as 25 cent stamps and the same number of one-cent stamps as
2 cent stamps. How many stamps of each type did Yoko buy?
Answers
Answer:
- 30 of 25 cent, 10 of 14 cent, 60 of 2 cent
Step-by-step explanation:
- Note: it must be typo 10.70, changed to 10.10
Number of 25 cent stamps = x
Number of 14 cent stamps = y
Number of 2 sent stamps = z
- Total = $10.10 = 1010 ¢
- x = 3y
- z = 2x ⇒ z = 6y
Solving equation
- 25x + 14y + 2z = 1010
- 25(3y) + 14y + 12y = 1010
- 75y + 26y = 1010
- 101y = 1010
- y = 1010/101
- y = 10
The finding x and z
- x = 3*10 = 30
- z = 6*10 = 60
punta ka Google then search mo 'yang tanong mo
di'ba Sabi ni'la Alam ni google lahat ka'ya Alam ni google 'yan
Answers
He started with $500. He withdrew (500 - 20) = $480 in 12 weeks.
So he must have come in and picked up 480/12 = $40 each week.
GEOMETRY QUESTIONS, PLEASE HELP!
Answers
Angles 4 and 6 are supplementary, because they are on the same line. Supplementary angles add up to 180 degrees, and a line must be 180 degrees.
15.
Angles 1 and 8 are congruent, because they are alternate exterior angles
16.
m = y2 - y1 / x2 - x1
m = 7 - 2 / 4 - 5
m = 5 / -1
m = -5
17.
m = 3 - 3 / 7 - (-5)
m = 0 / 12
m = 0
18.
m = 1 - (-2) / 5 - (-4)
m = 3 / 9
m = 1/3
19.
A = (0, 3) - B = (3,0)
m = 0 - 3 / 3 - 0
m = -3 / 3
m = -1
C = (0, -2) - D = (4, 2)
m = 2 - (-2) / 4 - 0
m = 4 / 4
m = 1
Perpendicular, because the slopes are opposite reciprocals.
20.
E = (1, 2) - F = (0, 0)
m = 0 - 2 / 0 - 1
m = -2 / -1
m = 2
G = (1, -3) - H = (3, 0)
m = 0 - (-3) / 3 - 1
m = 3 / 2
Neither, because the slopes are different.
21.
I = (0, 1) - J = (2, -4)
m = -4 - 1 / 2 - 0
m = -5/2
K = (-1, -2) - L = (4, 0)
m = 0 - (-2) / 4 - (-1)
m = 2/5
Perpendicular, because the slopes are opposite reciprocals.
22.
M = (-2, 2) - N = (2, 2)
Horizontal line
m = 0
O = (3, 0) - P = (-3, 0)
Horizontal line
m = 0
Parallel, because the slopes are the same.
23.
Angle 2 is congruent to angle 1 because of the alternate exterior angle theorem.
Angle 1 is congruent to angle 3 because of the vertical angle theorem.
Angle 2 is congruent to angle 3 because of substitution.
Line l is parallel to line m because the corresponding angles are congruent.
15. Congruent
16.
17.
18.
19. Perpendicular
20. Neither
21. Perpendicular
22. Parallel
23. Given: Transversal r cuts lines
l and m: <2 = <1
Prove: l || m
Statements | Reasons
1. <2 ≡ <1 | 1. They are congruent.
2. <1 ≡ <3 | 2. They are congruent.
3. <2 ≡ <3 | 3. They are parallel.
4. l || m | 4. They are parallel.
Answers
Rules in adding fraction.
1) Get the Least Common Denominator.
multiple of 4: 4, 8, 12
multiple of 6: 6, 12, 18
multiple of 3: 3, 6, 9, 12 Least Common Denominator is 12.
21/4 * 3/3 = 63/12
55/6 * 2/2 = 110/12
32/3 * 4/4 = 128/12
2) Add the numerators and place the sum above the least common denominator
63/12 + 110/12 + 128/12 = (63+110+128)/12 = 301/12
3) Simplify the fraction
301/12 is an improper fraction. To simplify an improper fraction, a mixed fraction will result.
301/12 = 25 1/12
421/4 + 55/6 + 32/3 = 63/12 + 110/12 + 128/12
= (63 + 110 + 128)/12 = 301/12 = 25 1/12
The correct result is 301/12 or 25 1/12.
Hope that helped =D
Answers
Answer:
V =12.167 cm^3
Step-by-step explanation:
V = s^3 is the volume of a cube where s is the side length
The side length of the cube is 2.3 cm
V = ( 2.3 cm) ^3
V =12.167 cm^3
Hey there!
The FORMULA:
V = s^3
Your EQUATION:
v = 2.3^3
SOLVING for the EQUATION
v = 2.3^3
2.3^3 = v
(2.3 cm)^3
≈ 2.3 cm * 2.3 cm * 2.3 cm
≈ 5.29 cm * 2.3 cm
≈ 12.167 cm^3
v ≈ 12.167 cm^3
Therefore, your answer is: 12.167 cm^3
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)