We want to find and graph the motion equations by finding the ratios.
The graph can be seen at the end of the answer.
We define the rate of change as the rate at which one variable changes with respect to other.
Here, we know that you move 30 meters every 5 seconds, then your rate of change in position is:
r = 30m/5s = 6 m/s
Note that this is a speed.
For your friend, we know that he/she moves 9 meters in 2 seconds, so his/her rate is:
r' = 9m/2s = 4.5 m/s.
Now we need to graph these in a coordinate plane, but these are just numbers, I assume that you want the motion equation graphed.
The motion equations are just given by the rate we just fond times the variable, in this case, the variable is the time in seconds.
Your equation is:
p(t) = (6 m/s)*t
Your friend equation is:
p'(t) = (4.5 m/s)*t
The graphs can be seen below, the green one is the first function, and the blue one is the second.
If you want to learn more, you can read:
do 12,16, and 20 make a right triangle
Answer:
so yes it does :)
Step-by-step explanation:
There is a fourth category of triangles in which one of interior angles is of 90∘ . It is called right triangle. 1) 12,16,20 : 202=162+122 : True, hence right triangle
Identify the type of function represented by f(x)= (4).
A. Quadratic
B. Exponential growth
C. Linear
D. Exponential decay
This is an exponential growth function.
If we look at the number that is raised to the power of x, it is greater than 1. Though there is a fraction within this equation, it is not affected by the exponential.
Hope this helps!! :)
Answer: A
Step-by-step explanation:
Write a recursive formula for the sequence 2,-4,8,- 16,
PLEASE HELP ASAP!!!!!!!!
Answer:
[tex]2 \times { (- 2)}^{n - 1} [/tex]
I need help please can anyone help.
Answer:
What do you need help on there’s nothing??
In ΔBCD, \text{m}\angle B = (5x+14)^{\circ}m∠B=(5x+14)
∘
, \text{m}\angle C = (x+19)^{\circ}m∠C=(x+19)
∘
, and \text{m}\angle D = (2x+19)^{\circ}m∠D=(2x+19)
∘
. What is the value of x?x?
Answer:
x = 16
Step-by-step explanation:
m<B+m<C+m<D = 180°
5x + 14 + x + 19 + 2x + 19 = 180
8x + 52 = 180
8x = 180 - 52
x = 128/8
x = 16
guys pls help me!!!!!!
Answer:
X would also be 59° due to the Corresponding property.
The successor of -18
Answer:
-17
Step-by-step explanation:
−18 + 1 = −17
evaluate 2/6 + 1/3 + 1/2 = ?
Answer:
2/6 + ⅓ + ½
= (2+2+3)/6
= 7 / 6
= 1⅙
Step-by-step explanation:
brainliest plz
Answer:
1 1/6
Step-by-step explanation:
Find the common denominator for 6, 3, 2
6 is divisible evenly by all three of those numbers so 6 is the lowest common denominator.
Convert all the fractions into sixths.
The first fraction is already done.
1/3..... the denominator needs to be multiplied by 2 so you have to multiply the numerator by the same amount.
1/3 x 2/2 = 2/6
1/2.... the denominator needs to be multiplied by 3 so you do the same thing to the numerator.
1/2 x 3/3 = 3/6
Now you have
2/6 + 2/6 + 3/6 = 7/6
Simplify the answer
6/6 = 1 so remove 6/6 from 7/6 and you are left with just 1/6
So your answer will be 1 and 1/6 or 1 1/6
Given g(x)=-x+3g(x)=−x+3, find g(1)
Answer:
g(1) = 2
Step-by-step explanation:
g(x)=−x+3
g(1)=
Let x = 1
g(1) = -1+3 = 2
Write a statement and reason proof.
Answer:
l want to do all your math
Answer:
<XPE = <ENY
Step-by-step explanation:
<1=<2 (GIVEN)
SO <3+<4= <5+<6
<3=<4 (PE Bisects <APN)
<5=<6 (EN bisects <ANP)
so <3=<5
than <XPE=< ENY
Which equation represents a line parallel to 3x − 8y = 12?
The equation that is parallel to 3x − 8y = 12 is y = (3/8)x - 4 so option (A) is correct.
What is a linear function?A straight line on the coordinate plane is represented by a linear function.
A linear function always has the same and constant slope.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
As per the given equation,
3x − 8y = 12
3x - 12 = 8y
y = (3/8)x - 12/8
By comparing y = mx + c
Slope m = 3/8
The parallel lines have the same slope thus y = (3/8)x - 4 will have the same slope of 3/8 so it will be parallel.
Hence "The equation that is parallel to 3x − 8y = 12 is y = (3/8)x - 4".
For more about the linear function,
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The complete question is below,
Which equation represents a line parallel to 3x-8y=12
A. y=3/8x-4
B. y=-3/8x-4
C. y=8/3x-4
D. y=-8/3x-4
solve for x
a) 30
b)45
c) 60
d) 90
express ratio as a fraction in simplest form
a. 10 yards to 10 feet
hint *there are 3 feet in every 1 yard
Answer:
[tex]\frac{3}{1}[/tex]
Step-by-step explanation:
The dimensions must be the same
10 yards = 10 × 3 feet = 30 feet
ratio = [tex]\frac{30}{10}[/tex] = [tex]\frac{3}{1}[/tex]
A boat traveled at a constant speed for six hours, covering a total distance of 58.5 km. To the nearest 10th of a kilometer per hour, how fast was it going?
The polynomial x2+ 3x - 1 is a factor of x3 + 2x2 - 5x-6 true or false
Answer:
it's false
Step-by-step explanation:
I hope it helps
A paint store sells exterior
paint for $35.75 a gallon and paint rollers for $6.00 each. Write an equation in
standard form for the number of gallons x of paint and rollers y that a customer could buy with $190.
Please help me!I will give you 44 points
Answer:
a) 5/4
b) y = 5/4x + 27
Step-by-step explanation:
To find the gradient of a line, simply change the equation into slope intercept form (y = mx + b), where b is the y-intercept and m is the slope.
4y - 5x = 2
4y = 5x + 2
y = 5/4x + 1/2
m(gradient) = 5/4
For lines to be parallel, simply keep the gradient the same. Any line with a gradient, or slope, of 5/4 will be parallel. As such, simply keep the first two terms identical, and change the y-intercept into any number.
Hope it helps :)
A truck can cover 126km in 12 hours.Find the distance
covered by the truck in 8 hours.
Answer:
[tex] |v| = \frac{d}{t} \\ |v| = \frac{126km}{12hr} = 10.5km. {hr}^{ - 1} \\ d = |v| \times t\\ d = 10.5km. {hr}^{ - 1} \times 8hr \\ \boxed{d = 84km}[/tex]
pls help me i don’t get this at all
Step-by-step explanation:
oh, come on ! you don't understand what ordered pairs or point coordinates stands for ?
it is simple, the first number is the x value, and the second number is the y value.
so, all we need to do here is to take every pair, put their values in the places of x and y in the inequality, and see if it is true with these specific values or not.
if yes, then that pair is a solution.
(6, -33)
-33 >= -8×6 +7
-33 >= -48 + 7
-33 >= -41 true, -33 is indeed bigger than -41
in the same way as -1 is bigger than -2.
(-1, 12)
12 >= -8×-1 + 7
12 >= 8 + 7
12 >= 15 false
(8, -65)
-65 >= -8×8 + 7
-65 >= -64 + 7
-65 >= -57 false
(2, -1)
-1 >= -8×2 + 7
-1 >= -16 + 7
-1 >= -9 true, -1 is bigger than -9
(-6, 47)
47 >= -8×-6 + 7
47 >= 48 + 7
47 >= 55 false
61,483
Х
13
Show your work
Answer:61,493
Step-by-step explanation:
I just used a calculator
PLS HURRY 30 POINTS!!!
You dont have to fill out every number, just give as many as you can list.
Answer:
1. X is the midpoint of AG; given
2. X is the midpoint of NR; given
3. AX and XG are congruent; statement 1
4. NX and XR are congruent; statement 2
5. angle AXN and angle RXG are congruent; vertical angles are congruent
6. Triangle ANX and triangle GRX are congruent; make the correspondence A <-> G, X <-> X, N <-> R, and Side-Angle-Side Congruence Theorem.
Step-by-step explanation
Statements Reason
1. angle1 is about angle2 Vertical Angles
2. X is the midpoint of lineAG Given
3. lineAX is about lineGX Definition of midpoint
4. X is the midpoint of line NR Given
5. lineNX is about lineRX Definition of midpoint
6. planeANX is about planeGRX SAS
Solve the following equation for v in terms of all other variables involved.
2(v-h)/k=r
Answer:
[tex]v = \frac{rk}{2} + h[/tex]
Step-by-step explanation:
Given the equation, [tex]r = \frac{2(v - h)}{k}[/tex], in order to solve for v:
Start by multiplying both sides by k:
[tex](k)r = \frac{2(v - h)}{k} (k)[/tex]
rk = 2(v - h)
Divide both sides by 2:
[tex]\frac{rk}{2} = \frac{2(v-h)}{2}[/tex]
[tex]\frac{rk}{2} = v - h[/tex]
Add h to both sides to isolate v :
[tex]\frac{rk}{2} + h = v - h + h[/tex]
[tex]\frac{rk}{2} + h = v[/tex]
a tire on a toy car has a diameter of 8 cm. if the toy car travels 12560 cm, approximately how many times does the Tire rotate
Needing help thanks!
erica recorded the number of sales she made during each of the first 4 months when she began her new career erica plottedthe data on a coordinate grid and she noted that the data correlate to an exponential equation as shown (image attached)
What is the domain of the function shown in the graph?
The domain of the function from the graph.
{10, 20, 40, 80}.
Option B is the correct answer.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
The coordinates from the graph:
(1, 10), (2, 20), (3, 40), (4, 80)
The domain of the function from the graph.
= 10, 20, 40, 80
Thus,
From the graph, the domain of the function
{10, 20, 40, 80}.
Learn more about functions here:
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Worth 100 Points!
Help, this is after an test. And I still don't understand it. Could someone please help me understand this question related to inverse functions? Thanks!
You were close, and have the right idea, but I think you did it a bit backwards! You want to "flip" it over the y=x line (picture attached below)
To solve for the inverse, you will find the equation of the original, switch the x and y, then solve for y.
We can (mostly, I think?) tell the equation for f(x) is as follows, so we switch the y and x for the steps following to solve for y:
[f(x)] y = -2x + 2
[switch] x = -2y + 2
[subtract 2 from both sides / flip equation] -2y = x - 2
[divide both sides by -2] y = -2x -4
So our equation for g(x) will be about y = 2x -4
(inverse so the negative is weird)
Photos:
- first is y=x
- second is the general idea of the inverse for what g(x) should look like
- third is kinda what the graph will look like (digitally)
I know this isn't a *perfect* answer, but I hope it explains it some and helps. Good luck! :D
equivalent equation to 3/50-x/50=7/50
Answer:
x=-4
Step-by-step explanation:
Multiply both sides by 50 and you get
3-x =7,
so x= -4
I need help y’all pls I will give brainliest
Answer: (-2,-2)
Step-by-step explanation:
Start at finding the y-intercept(-3) then do rise over run with -2x
Rise over run is count up/down then left/right
My friend needs help!
[tex] \frac{840}{1200} = 0.7 = \frac{7}{10} [/tex]
So, option (c) will be correct
Cheerio :)
Fatima conducted an experiment where she asked people to estimate the temperature of glasses of water. She recorded how far the estimates were from the actual temperatures, using positive values for guesses that were too high and negative values for guesses that were too low. Her results are in the table below.
Estimate -−minus actual temperature (\degree\text{C})(°C)left parenthesis, degree, start text, C, end text, right parenthesis
Person A Person B Person C
-3−3minus, 3 444 888
-1−1minus, 1 -4−4minus, 4 -2−2minus, 2
000 222 555
222 -3−3minus, 3 111
What is the mean value in Fatima's results?
The mean value is the sum of the temperature values divided by the total frequency. Hence, the mean value in Fatima's temperature result is -0.75°C
Given the data :
Person 1 :
-3, - 1, 0, 2, Sum = (-3 + (-1) + 0 + 2) = - 2Person 2 :
4, -4, 2, - 3 Sum = (4 + (-4) + 2 + (-3)) = - 1Person 3 :
8, - 2, 5, 1Sum = (8 + (-2) + 5 + 1) = 12Mean value = (Total sum ÷ Frequency)
Mean value = [(-2 + (-1) + 12) ÷ 12]
Mean value = - 9 ÷ 12 = - 0.75
Therefore, the mean value of the result is 0.75°C
Learn more : https://brainly.com/question/25242892
It took a car 2 days to travel 2274 miles. What was this car's average speed, in miles per hour? (round to the nearest mile per hour)
Answer:
47 mph
Step-by-step explanation:
1 day = 24 hours, so 2 days = 48 hours.
2274/48 (2274 miles per 48 hours, simplify!) This equals 47.375. Round it down to 47 mph.
This is assuming the car took no breaks.
Hope this helps!