Answer: (a) (i)50.42 m/s (ii) 51.35 m/s (iii) 52.094 m/s (iv) 52.2614 m/s (v) 52.27814 m/s
(b) 54.14 m/s
Step-by-step explanation:
The average speed over the given time interval [a,b]: = [tex]\frac{y(b)-y(a)}{b-a}[/tex]
Given: If an arrow is shot upward on Mars with a speed of 56 m/s, its height in meters t seconds later is given by [tex]y = 56t − 1.86t^2.[/tex]
(a)
(i) average speed = [tex]\frac{y(2)-y(1)}{2-1}[/tex]
[tex]=\frac{56(2)-1.86(2)^2-(56(1)-1.86(1)^2)}{1}[/tex]
[tex]=50.42[/tex] m/s
(ii) average speed = [tex]\frac{y(1.5)-y(1)}{1.5-1}[/tex]
[tex]=\frac{56(1.5)-1.86(1.5)^2-(56(1)-1.86(1)^2)}{0.5}[/tex]
[tex]=51.35[/tex]m/s
(iii) average speed = [tex]\frac{y(1.1)-y(1)}{1.1-1}[/tex]
[tex]=\frac{56(1.1)-1.86(1.1)^2-(56(1)-1.86(1)^2)}{0.1}[/tex]
[tex]=52.094[/tex]m/s
(iv) average speed = [tex]\frac{y(1.01)-y(1)}{1.01-01}[/tex]
[tex]=\frac{56(1.01)-1.86(1.01)^2-(56(1)-1.86(1)^2)}{0.01}[/tex]
[tex]=52.2614 [/tex]m/s
(v) average speed = [tex]\frac{y(1.001)-y(1)}{1.001-01}[/tex]
[tex]=\frac{56(1.001)-1.86(1.001)^2-(56(1)-1.86(1)^2)}{0.001}[/tex]
[tex]=52.27814 [/tex]m/s
(b) [tex]y(1)=56(1)-1.86(1)^2[/tex]
[tex]=56-1.86[/tex]
[tex]= 54.14[/tex] m/s
Write the coordinates of the vertices after a reflection across the line y = 4
A(-9,1) -> A’( )
B(-4,1) -> B’( )
C(0,4) -> C’( )
D(-5,4) -> D’ ( )
II. The Añejo Rum 45 played 5 games. Find the total of poin
basketteall game and for each player,
Loyzaga J
WAME GAME 1 GAME 2
Jaworski 18
2B
12 15
Isaac 16
12
Gonzalgo 21 15
Distrito 26 24
Mamaril 19 22
GAME 3
12
16
18
24
20.
12
GAME H GAME 5
24
18
16
20
19 15
26 23
21
15 16
21
Answer:
Step-by-step explanation:
alright l like this answer too
please help me with this question:(
There are 20 students in the class. I counted 8 girls. What percent are boys?
Answer:
60%
Step-by-step explanation:
20-8=12
12÷20=0.6
0.6×100=60%
A finite sequence of numbers is called AWESOME if each subsequent member of the sequence, except the first one, is larger than the previous one and if the
product of all the members of that sequence is a perfect square. For example, sequence 2, 6, 27 is an AWESOME sequence. Determine the natural numbers x and y such that the sequence 28, x, y, 65 is an AWESOME sequence.
Answer:
The answer is "28, 35, 52, 65"
Step-by-step explanation:
Calculating the x,y:
[tex]\to x< y<65\\\\\to 65 \times 28 xy=13 \times 5xy \times 7 \times 2^2\\\\x=13 \\\\y=5 \times 7= 35\\\\[/tex]
When
or
[tex]x=35\\\\y= 13 \times 2^2=13 \times 4 =52[/tex]
So, the final answer is "28, 35, 52, 65".
what is and application that process data into meaningful information is
Answer:
Data processing is a process of converting raw facts or data into a meaningful information. Data can be done manually using a pen and paper, mechanically using simple devices eg. typewritter or electronically using modern dat processing toolseg computers.
Step-by-step explanation:
HELP NEEDED PLEASE!! WILL GIVE BRAINIEST
Find the mean absolute deviation of the following numbers:
12, 15, 17, 18, 15, 20, 22
Answer:
12 20 22
Step-by-step explanation:
Find the radius of the curcle
Answer:
radius=diameter/2
=9/2
=4.5 in.
diameter=radius*2
=3m*2
=6m
Step-by-step explanation:
Step-by-step explanation:
1) r=d/2
r=9in/2
r=4.5in
2) d= r×2
d=3m×2
d=6m
Two sixth-grade classes, A and B, voted on whether
to give the answers to their math problems in poetry.
The "yes" choice was more popular in both classes.
class A - 24 yes , 16 no
class B 18 yes , 9 no
i know the percent of class a but not b
class A - 60/100
class B - ???????
What is the volume of this composite solid?
4 m
2 m
7 m
2 m
2 m
O A. 58 cubic meters
O B. 64 cubic meters
O C. 78 cubic meters
O D. 62 cubic meters
Answer:
64
Step-by-step explanation:
A P E X
PLEASE HELP BRO IM FAILING MATH
Answer:
Step-by-step explanation:
we have several angles that have the same vertex and so they are congruent
1) e = 35 degrees because the opp angle has this measure
2) d = 109 degrees for the reason above
3) for find f we have to notice that the sum of the three angles (if you look at the vertical line you can notice that it is a straight line, so describes two angles whose measures are 180 degrees)
f = 180 - (35 + 109)
f = 180 - 144 = 36 degrees
A box holds 30 tins How many boxes can be filled
with 810 tins
Help me please I will give brainleist
Answer:
? = 7x
Step-by-step explanation:
Lets simplify the equation first;
5x - 20 + ? = -20 + 12x
=> So now, we have to make the equation on the left equation congruent to the right equation:
It we already have -20 common on both sides, but we need to find out, what added by 5x gives us 12x,
=> So we can let the number we have to find out be y, and say:
5x + y = 12x
=> y = 12x - 5x
=> y = 7x
Therefore, ? = 7x
Hope this helps!
A y= 2x - 10
B y= 1/2 x + 10
C y= 1/2x -10
D y= 2x + 10
9514 1404 393
Answer:
D. y= 2x + 10
Step-by-step explanation:
Try x=3 in the equations and see which one works.
A: 2·3 -10 = -6 ≠ 16
B: 1/2(3) +10 = 11.5 ≠ 16
C: 1/2(3) -10 = -8.5 ≠ 16
D: 2(3) +10 = 16 . . . . . . this equation works
Next Activity
Desiree M&Clay
Consumer Mathematics A: Calorie Proportions - Assess It
Contents
1 Course Ove
> Course Res
> Shopping
Nutrition
All changes saved
3. If 10 hot wings have 700 calories and Ben ate 25 hot wings at dinner, how many
calories did he eat?
> Lesso
NEED HELP A family traveling home after a reunion Records the time in hours and the distance they are from home in miles based on the scatter plot the family is miles from home after the first 3.5 hours
Answer:
200 miles
Step-by-step explanation:
Yesterday, Fairlane got 1 1/2 inches of rain. It got 3/4 of that rain before 3:00 P.M. How much rain did Fairlane get before 3:00 P.M.
Answer:
3/4
Step-by-step explanation:
1 1/2
3/2 make this 6/4 so you can have a common denominator
3/4
Then you subtract and boom 3/4 it also says in the problem lol
6(3b-5) b=5
is the value 60
Answer:
Yes
Step-by-step explanation:
6((3×5)-5)
6(15-5)
6(10)
60
Hope this helps!! :)
Jill is swimming laps in a pool. The table shows how the total distance she swims depends on the number of laps she does.
Number of Laps - Total Distance (Meters)
5 250
10 500
15 ?
20 1,000
25 1,250
A. 50
B. 75
C. 550
D. 750
Answer:
the expression b/c=b/c is an example of a/an
2 - (4 - 3) and (2 – 4) - 3 what property is it?
Answer:
1 and -2
Step-by-step explanation:
Answer:
Associative property
Step-by-step explanation:
When three or more numbers are multiplied, the answer is the same regardless of the way in which the numbers are grouped.
Rationalize the denominator and simplify
Review the graph of a piecewise function. On a coordinate plane, a line starts at open circle (0, negative 1) and goes to open circle (negative 2, negative 3). It then curves up through (negative 5, 2). A curve starts at closed circle (0, 3) and curves down and approaches x = 1 into quadrant 4. Another curve starts at closed circle (2, 3) and curves down and approaches x = 1 in quadrant 4. A horizontal line goes from closed circle (2, 3) to (5, 3). Which list represents all values of x for which the function has a discontinuity? 1 0 and 1 –2 and 1 –2, 0, and 1
Answer:
A
Step-by-step explanation:
It is
Answer:
a
Step-by-step explanation:
Please help me this is for a test. Thank you so much whoever answers this.
Answer: Pretty sure the answer is 3.
Step-by-step explanation:
[tex]\frac{2(4+7)-7}{5}[/tex]
[tex]\frac{2(11)-7}{5}[/tex]
[tex]\frac{22-7}{5}[/tex]
[tex]\frac{15}{5}[/tex]
Find the third side in simplest radical form:
33
56
Answer:
65
Step-by-step explanation:
33^2 + 56^2=c^2
4225 = c^2
square root both
65 = c
The boat top speed was 2 miles per hour less then 3/5 the cars top speed. The boats top speed was 73 miles per hour.what was the top speed of the car ?
Answer:
Word Problem. Hmm
The Interpretation of the first expression
Let boat top speed be x and car's top speed be y
x= 3y/5 – 2
From the question
x= 73miles per hr
73= 3y/5 - 2
3y/5 = 73+2
3y/5=75
y= 75x5/(3)
y=125miles per hr.
This is the car's top speed. Thanks
What is the answer to this problem?
Answer:
5 2/3
Step-by-step explanation:
just trust me
Answer:
option b 5.6 is the correct answer
Maria and Lamar are playing a game. Maria noticed that the digits of her
score could be reversed to form Lamar's score. Maria's score is 18 more
than Lamar's score. Maria's score is a multiple of 5. What is Maria's score?
Answer:
20
Step-by-step explanation:
because 20 reversed is 02 and plus 18 is 20 and 20 is a multiple of 5
Answer:
The answer is 20!
Step-by-step explanation:
Had to do this on a sheet of paper.
Hope I helped you even though this is really old. I just need to answer 5 questions for points
PLS HELP ME GIVING OUT BRAINLIEST ANSWER!!
Answer:
4r^2
Step-by-step explanation:
The area of a square is the square of the side length. Since a circle with radius r is inscribed inside the square, the side length of the square is 2r. Therefore, the area of the square is (2r)^2, which is 4r^2.
Note that the area of the circle is [tex]\pi r^2[/tex].
What is the difference
Answer:
4
Step-by-step explanation:
Ben has 21 votes and Scott has 17
21 - 17 = 4
Write a thesis statement for your argument aginst online learning
Answer:
Step-by-step explanation:
Online Learning is bad because it can cause social Isolation, it requires strong self-motivation and time management skills , Lack of communication skill development in online students and cheating prevention during online assessments is very complicated.