Answer:
7 is the answer.
Pls mark brainliest.
Test 1 2021-22 19 of 9
The graph represents Samantha's walk in front of a motion detector. Identify two points marked on the graph that define the interval
where her average rate of change was 2/3 meters per second.
Motion Detector Walk
Given that the shape of the graph is curved, the rate of change can be
estimated by using the average value between specified points.
The points are;
[tex]\underline{(6, \, 6)}[/tex][tex]\underline {(9, \, 8)}[/tex]Reasons:
The coordinates of the points marked (distances and time) during the walk are;
[tex]\begin{tabular}{|c|c|}Time (seconds), x&Distance from motion detector (meters), y\\0&1\\3&2\\5&4\\6&6\\7&7\\9&8\end{array}\right][/tex]
Required: Identification of two points marked on the graph that define the
interval where Samantha's average rate of change was 2/3 meters per
second.
Solution:
The average rate of change between two points is given by the ratio of
difference in the distance from the motion detector to the difference in
time between the points.
[tex]\displaystyle Average \ rate \ of \ change = \frac{Change \ in \ distance}{Change \ in \ time} = \mathbf{ \frac{\Delta y}{\Delta x}}[/tex]
At the required points, the change in the y-values, will be 2 × a, while the
corresponding change in x-values will be 3 × a, where, a is rational number.
From the above table, at the points where the time is 6 seconds and 9
seconds, we have the following distance time ordered pair;
(6, 6), and (9, 8), from which we have;
[tex]\displaystyle Average \ rate \ of \ change =\frac{\Delta y}{\Delta x} = \mathbf{\frac{8 - 6}{9 - 6}} = \frac{2}{3}[/tex]
Therefore;
The points [tex]\underline{(6, \, 6)}[/tex], and [tex]\underline {(9, \, 8)}[/tex], are two points that represent an interval
where her average rate of change was 2/3 meters per second.
Learn more about average rate of change of a graph here:
https://brainly.com/question/9650454
Select the point - slope form of the line
Select one:
a.
y − y1 = m ( x − x1 )
b.
ax + by + c = 0
c.
x / a + y / b = 1
d.
y = mx + b
Answer:
y − y1 = m ( x − x1 )
Step-by-step explanation:
Point slope form would include a slope 'm' and a point (x1, y1).
The first option is the general formula for point-slope form.
B is standard form for a straight line (it can also be Ax + By = C)
C is intercept form.
D is slope-intercept form.
Hope this helps.
You are 5 years less than your older brother express the age of your elder brother in terms of your age using variable
Answer:
Step-by-step explanation:
If x represents your age then the age of your elder brother
is x + 5 years.
Answer:
Your age = y
So the variable expressing the age of your elder brother would be y + 5 (years).
Hope that helps?
the sum of a number and 6 is greater than 76 write an inequality
Answer:
x+6>76
Step-by-step explanation:
sum is adding
greater than is >
The area of a triangle is 30 square inches.
The base of the triangle is x - 6 inches,
and the height is x + 5 inches.
Find the value of x, and the dimensions of the triangle.
A = 1/2bh
x=
base=
height=
Answer:
x=10
base=4inches
height=15inches
Step-by-step explanation:
A=1/2bh
30=1/2(x-6)(x+5)
60= x²+5x-6x-30
x²-x-90=0
x²-10x+9x-90=0
x(x-10) +9(x-10)=0
(x+9)(x-10)=0
x= -9 or 10
x cannot be negative
Therefore x= 10
base= 10-6
=4inches
height=10+5
=15inches
does anyone know how to do this?? thank you for your help
Answer:
substitute 1 for t
Step-by-step explanation:
What value makes f(x)=11 if f(x)=5(4x-3)-2(x-6)
please answer asap
i needhelp quick will give brainlist
Answer:
B. y=0.07x
Step-by-step explanation:
Hope this helps! Have a good day:)
How i can answer this question?, NO LINKS, if you answer correctly i'll give u brainliest!
6(4a-3b)
if you draw a factor tree that goes like:
24
1 24
2 12
... ... (and so on, you'll find 6 is the highest)
how I can answer this question, NO LINKS, if you answer correctly I will give u brainliest!
Answer:
It's a direct variation condition,
hence ratio remains constant.
39 - 3
x - 4
x = 4×39/3 = 4×13 = 52 .. (for first blank space)
39 - 3
x - 10
x = 39×10/3 = 13×10 = 130 .. (for second blank space)
Answer:
39 ____ 3
52 ____ 4
130 ____ 10
To get the smaller numbers to a bigger one you'll times them by 13.
Divide 39 by 3 and you'll get 13 then time 4 by 13 to get the missing box answer do the same for number 10.
what is 3.95 rounded to the nearest whole number
Answer:
4
Step-by-step explanation:
Answer:
3.95 ≈ 4
Step-by-step explanation:
A whole number refers to a whole integer, meaning there can be no decimals or fractions. Follow the rule 4 and below to round down, and 5 and above to round up.
Brainliest
Please do one of the above
(I would appreciate if you did more then one)
Answer:
a) 52.5 ft. b)40.1ft c)12.5ft d) 72.6
Step-by-step explanation:
a) The height of the lighthouse is 84ft, and the angle of elevation is 58 degrees.
tan58=84/x
find x by dividing 84 by tan58, and you get 52.5ft.
b) do the same thing, except 131 is in the base of the right triangle shape. That being said, do tan17=x/131.
multiply 131 by tan17, and you get x=40.1 feet.
c) This question wants you to find the length of the slide, (basically the hypotenuse).
given the angle to be 46, do sin46=9/x
since sin is opp/hyp
9/sin46= 12.5ft
d) Find the angle of elevation by using inverse tan given the base to be 5, and the height to be 16ft.
tan^-1=(16/5)=theta
x=72.6 hope this helps!
Answer:
Step-by-step explanation:
The graph shows how the number of hats in your collection increased since you began collecting 6 months ago. How many hats did you collect during the second month? Hat Collection A graph has time (months) on the x-axis, and total number of hats on the y-axis. Lines connect points (0, 0), (1, 3), (2, 5), (3, 8), (4, 9), (5, 10), (6, 12). hats
Answer:
Step-by-step explanation:
Two hats were collected in the second month (5-3) =2.
Could anyone help out? It's 11pm and I have finals tmrw :/
For the given polynomial P(x) and the given c, use the remainder theorem to find P(c). 3 P(x) = 5x? - 2x2 – 3x+ 3; - 4
There i hope it help
Stay safe and study hard
What is the measure of each angle of a regular heptagon? If necessary, round to the
nearest tenth.
Answer:
Umer F. 51.43∘ is the measure of each exterior angle in a regular heptagon.
To round a number to the nearest tenth , look at the next place value to the right (the hundredths). If it's 4 or less, just remove all the digits to the right. If it's 5 or greater, add 1 to the digit in the tenths place, and then remove all the digits to the right.
kam
An object oscillates as it moves along
the x-axis. Its displacement varies with
time according to the equation
x = 3 cos(6pi t + pi/2)
where t is in seconds
What is the frequency of this motion?
The frequency of this motion is 3 Hz
The standard equation of an oscillation is given by:
x = A cos(ωt + Ф)
Where x is displacement, A is amplitude, ω is angular frequency = 2πf and Ф is phase difference.
Given the equation:
x = 3 cos(6πt + π/2)
Hence;
ω = 6π
2πf = 6π
f = 3 Hz
The frequency of this motion is 3 Hz
Find out more about frequency at: https://brainly.com/question/254161
(-14,-3) (6,10) find the slope and explain
please
Answer:
The slope would be 13/20
Step-by-step explanation:
10-(-3) is 13 (numerator) and 6-(-14) is 20 (denominator)
hope this helps!!
PLEASE HELP
5) Which function represents the relationship between x and y?
A) y = x + 2
B) y = 2x
C) y = x + 4
D) y = x-2.
Answer:
A) y=x+2
Step-by-step explanation:
We can see that each time x increase by 2, y also increases by 2. The slope of the line formed by this equation is therefore 1. But we start out with y = 2, even when x=0. That's the definition of the y-intercept: the value of y when x is equal to zero.
The slope-intercept form of a straight line equation is y = mx + b, where m is the slope (1, in this case) and b is the y-intercept (0 in this case).
We have y = 1x + 2, or y = x + 2
I’m so confused help please
Answer:
B. 0
Step-by-step explanation:
If you subtract the right side expression and simplify, you get ...
4/5(20x +5) -(16x -2) = 0
16x +4 -16x +2 = 0
6 = 0 . . . . . . . . . . . . false
There is no value of x that will make this true. There are no solutions.
Calculate 3 tonnes 335kg - 905kg and give the answer in tonnes
Answer:
2430kg
Step-by-step explanation:
3 tonnes is 3000kg so 3 tonnes 335kg is 3335kg. Take 3335 - 905 you get 2430
How do I find the percentage of two column data table?
A circumference of the wheel of Victoria is 4.4m. How much distance coill it cover in 500 revolutions?
[tex]\huge \bf༆ Answer ༄[/tex]
Total distance covered is equal to ~
Number of revolutions × circumference [tex] \sf500 \times 4.4[/tex][tex] \sf2200 \: m[/tex]Hence distance covered = 2200 m = 2.2 km
Given m | n, find the value of x and y.
X = 23
Y = 129
Hope this is helpful!
Answer:
i think x = 23, y = 129
Step-by-step explanation:
5x+14+3x-18 = 180
8x-4 = 180
8x = 184
x = 23
3x-18+y = 180
3(23)-18+y = 180
69-18+y = 180
51+y = 180
y = 129
I just need to know how to solve this question.
Answer:
x = 62
Step-by-step explanation:
x and 118 form a linear pair (added up, they both equal 180 degrees)
So, 180-118 = 62 which is the measurement of x
What is the value of x in the equation 8x – 2y = 48, when y = 4?
Answer:
x = 7
Step-by-step explanation:
Substitute y = 4 into the equation and solve for x
8x - 2(4) = 48
8x - 8 = 48 ( add 8 to both sides )
8x = 56 ( divide both sides by 8 )
x = 7
Answer:
x = 7
Step-by-step explanation:
8x - 2y = 48
y = 4
First, let's substitute y for it's actual value as we know it.
8x - 8 = 48
Next, add 8 on both sides. (When doing these sort of questions you must do the inverse.)
8x = 56
Divide both sides by 8 to get x.
x = 7
Hope this helps and I hope you have a good day!:)
help with these pleaseee
Percent Change = (new quantity - old quantity) / old quantity
#2:
(64 - 52) / 52
12 / 52
0.2308
23%
#4:
(12 - 18) / 18
-6 / 18
-0.33
33% decrease
#5:
(10 - 16) / 16
-6 / 16
-0.375
38% decrease
Hope this helps! :)
Write an integer for each situation
1. A deposit of $40
2. A loss of 20 pounds
Find f(2) and f(3).
f(1) = 3
f(n) = 7f(n = 1)
Answer:
do it got a picture
on the edge2020
Step-by-step explanation:
Find the value of x
SC is the median of QRS
How can we use the distributive property to find an expression equivalent to 4(5−3x)? Place the steps in order.
Answer:
1-12-x-+1
Step-by-step explanation:
so you divided 2 by 4 then 1 after that 12 and boom
The equivalent expression for 4(5−3x) is ( 20 - 12x).
What is distribution property?This states that multiplying the sum of two or more addends by a number produces the same result as multiplying each addend separately by the number and then adding the products together.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that the expression is 4(5−3x). The expression by distribution property will be solved as,
E = 4(5−3x)
Multiply by 4 in the whole equation,
E = ( 4 x 5 - 4 x 3x )
E = 20 - 12x
To know more about distribution property follow
https://brainly.com/question/28490348
#SPJ2