You are skateboarding at a pace of 30 meters every 5 seconds. You friend is in-line skating at a pace of 9 meters every 2 seconds. Graph each ratio relationship in the coordinate plane.
Answers
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:
Related Questions
Match the inequality to the graph of the solution C - 6 < 4
Answers
Answer:
A
Step-by-step explanation:
C - 6 < 4
+6 +6
C < 10
Open circle at 10 and shade to the left.
Hi, I was absent yesterday on my math class and I missed the whole lesson of yesterday , teacher gave us homework on delta math and I still quite do not understand how to solve it please help!
Answers
you pay in Albany for a $34 pair of pants? 8) At best buy they have a 42" TV that sells for $1250 and is on sale for 15% and sales tax is 6.5%. What is the final cost? (Hint: Calculate the discount first and then the tax).
Answers
Answer:
$1,131.56
Step-by-step explanation:
$1250 x (1-15%) = $1,062.50 Discounted Price
$1,062.50 x 6.5% = $69.06 Sales Tax
$1,062.50 + $69.06 = $1,131.56
-39=18+4m enter your answer as a mixed number in simplest form in the box m=
Answers
Answer:
Step-by-step explanation:
-39 = 18 + 4m
4m + 18 = -39
Subtract 18 from both sides
4m = -39 - 18
4m = -57
Divide both sides by 4
m = -57/4
[tex]m = -14\dfrac{1}{4}[/tex]
Answer:
-14 1/4
Step-by-step explanation:
I took the test
SOMEONE HELP WITH THIS PLEASE!!
Answers
Answer:
Step-by-step explanation:
you just have to evaluate the expression and then solve it
Solve and graph the solution to the inequality -2(2x-3)<-26
Answers
Answer:
[tex]x > 8[/tex]
Step-by-step explanation:
1. Simplify the expression
Expand the parentheses:
[tex]-2*2x-2*-3<-26[/tex]
Simplify the arithmetic:
[tex]-4x+6<-26[/tex]
2. Group all constants on the right side of the inequality
Subtract 6 from both sides:
[tex]-4x+6-6<-26-6[/tex]
Simplify the arithmetic:
[tex]-4x<-26-6[/tex]
Simplify the arithmetic:
[tex]-4x<-32[/tex]
3. Isolate the x
Divide both sides by-4:
When dividing or multiplying by a negative number, always flip the inequality sign:
[tex]\frac{-4x}{-4} >\frac{-32}{-4}[/tex]
Cancel out the negatives:
[tex]\frac{4x}{4} >\frac{-32}{-4}[/tex]
Simplify the fraction:
[tex]x>\frac{-32}{-4}[/tex]
Cancel out the negatives:
[tex]x>\frac{32}{4}[/tex]
Find the greatest common factor of the numerator and denominator:
[tex]x>\frac{8*4}{1*4}[/tex]
Factor out and cancel the greatest common factor:
[tex]x>8[/tex]
4. Solution on a coordinate plane
Solution:
[tex]x>8[/tex]
Interval notation:
[tex](8, { \infty} )[/tex]
Fill in the missing number. % of 90 = 54
Answers
Answer:
60
Step-by-step explanation:
Trust me homie
guys pls help me!!!!!!
Answers
Answer:
48 degrees
Step-by-step explanation:
Answer: 6.8
Step-by-step explanation:
nnxj
Line m passes through
points X and Y. Line n passes through points x
and Z. If m and n have equal slope, what can
you conclude about points X, Y, and Z? Explain.
Answers
Answer:
X, Y, Z are collinear
Step-by-step explanation:
X,Y,Z lie on the same straight line
The slope of the lines are the same thus line m and n both passes through X, Y, and Z points and thus all three points will be colinear.
What is the slope?A slope is a tangent or angle at a point and a slope is the intensity of inclination of any geometrical lines.
Slope = Tanx where x will be the angle from the positive x-axis at that point.
Given that line m is passing →
Points X and Y
Line n passing →
Points X, Z
The slope of m = slope of n
If the slope same then the line will be parallel and since both lines are passing through the same point X thus they will be a colinear line.
All points that lie on the colinear line are colinear points.
Hence "X, Y, and Z all three points will be colinear".
To learn more about slopes,
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A bag has 4 red balls ,3 green balls and 5 blue balls. What is the probability of getting a red ball randomly
Answers
Reason: add 4,3, and 5 together, you get 12. 4/12 is equivalent to 1/3 and 1/3 as a decimal is .33
1-100%. You'll never know until you try it yourself.
Write your answer as a coordinate (x,y)
Find the midpoint between the given pairs of points.
(10,8) (14,-6)
Answers
Mekddkdjdjdndndm
Answer:
(12,1)
Step-by-step explanation:
(10+14)/2 and (8+-6)/2
= (12,1)
Solve for
x
x
−
1
3
=
6
Give your answer as an improper fraction.
Answers
Answer:
x
=
13
+
6
=
19
Step-by-step explanation:
this is so simple
Step-by-step explanation:
x=19 ayan na yung sagot huh
nye nye nye nye nye nye nye
Answers
Answer:
what question is this lol
Step-by-step explanation:
Guys please help I hate geometry
Answers
Answer:
m∠1 = 75° m∠2 =45° m∠3 = 60°
Step-by-step explanation:
m∠1 = 180 - { (180 - 135) + (180 - 120) }
m∠1 = 180 - { 45 + 60 }
m∠1 = 75°
The angle between 1 and 3, lets call it x, is vertically opposite to ∠2, so we must find it first to be able to get ∠2
Since a ║b
Therefore ∠x and ∠135 are co-interior angles
Therefore ∠x = 180-135
m∠x = 180 - 135
m∠x = 45°
∠2 = ∠x (Vertically opposite angles)
∠2 = 45°
Between ∠2 and ∠3 there is an angle, let's call it z.
∠z = ∠1 (Vertically opposite angles)
∠z = 75°
Since the sum of angles 2, z and 3 = 180° (Straight angle)
Therefore m∠3 = 180 - (∠2 + ∠z)
m∠3 = 180 - (45 + 75)
m∠3 = 60°
Or in a different way
∠2 + ∠z + ∠3 = 180
45 + 75 + ∠3 = 180
120 + ∠3 = 180
∠3 = 180 - 120
∠3 = 60°
Hope it helps
What is 4 plus 3 plus 6 plus 10
Answers
Answer:
23
Step-by-step explanation:
4+3+6+10
4+3 = 7
7 + 6 = 13
13 + 10 = 23
This is super easy, no offense
a circle plane figure bounded by a curved line called the
Answers
Answer:
Circle
Step-by-step explanation:
Does anybody know the answer to this question f(x)=x^3-x^2-10x-8
Answers
Answer:
(X+1) (x - 4) (x+2)
Step-by-step explanation:
All the coefficients are integers so apply the rational zeros theorem.
The coefficient of x^3 is 1.
Divide (x^3-x2-10x-8)(x+1) = x^2-2x-8 with remainder = 0
The remainder is 0. (x+1) is a factor.
(x + 1) ( x^2 - 2x - 8)
x^2 - 2x - 8 (-4 * 2= 8) and -4 + 2 = -2)
= (x -4) (x+2)
plsssssssssssss answer
Answers
Answer:
Step-by-step explanation:
104 x
---- = ---
50 60
Cross multiply 104 by 60. 6240 is your answer.
Your new equation is 6240 = 50x.
Divide both sides by 50. 6240/50 = x
x = 124.8 mph (miles in one hour)
Factor each polynomial x^2-9x+10
Show your work
Answers
Answer:
not factorable
Step-by-step explanation:
[tex]x^{2} - 9x +10\\[/tex]
The easiest way to factor is to find two numbers of the "a" value (the coefficient before [tex]x^{2}[/tex]) and the factors of the c value (10) that ADD up to give you -9, in this case it would be:
1 -10 --> 1(-10) gives you -10
1 -1 --> 1(-1) gives you -1
adding these together -10 + (-1) = -11 which does not equal -9.
You could stop here and conclude that this is not factorable by inspection.
Another method: using the quadratic formula to find its roots.
Roots: [tex](\frac{9-\sqrt{41} }{2}, 0)[/tex] and [tex](\frac{9+\sqrt{41}}{2}, 0)[/tex]
[tex]\sf HELP![/tex]
[tex]\sf 17=2x-9[/tex]
Answers
Answer:
x=13
Step-by-step explanation:
Switch sides:
2x−9=17
Add 9 to both sides:
2x−9+9=17+9
Simplify
2x=26
Divide both sides by 2:
2x/2 =26/2
Simplify to get the result.
x=13
Answer:
x=13
Step-by-step explanation:
[tex]\sf 2x-9=17[/tex]
[tex]\sf 2x-9+9=17+9[/tex]
[tex]\sf 2x=26[/tex]
[tex]\sf \cfrac{2x}{2}=\cfrac{26}{2}[/tex]
[tex]\sf x=13[/tex]
What is -1/2(-4/5) multiplied then in simplest form?
Answers
Multiply the numerators by each other and do the same for the denominators.
That is:
-1(-4)=4
And 2*5=10
Now we have 4/10
Divide the numerator and the denominator by 2 to get 2/5 which is the simplest form.
Hope this helped.
An object is launched at 9.8 meters per second (m/s) from a 308.7-meter tall platform. The function that represents the object's height s at time t seconds after launch is
s(t) = −4.9t2 + 9.8t + 308.7,
where s is in meters. When does the object strike the ground?
Answers
this is the full answer for you're Q
please give me good
The time taken by the object to hit the ground will be 9 seconds.
What is a quadratic equation?A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.
Given that an object is launched at 9.8 meters per second (m/s) from a 308.7-meter tall platform. The function that represents the object's height s at time t seconds after launch is
s(t) = −4.9t²+ 9.8t + 308.7
To find the time taken put the function equal to zero.
−4.9t²+ 9.8t + 308.7 = 0
t² - 2t - 63 = 0
t² - 9t + 7t - 63 = 0
t ( t - 9 ) +7 ( t - 9 ) = 0
( t - 9 ) ( t + 7 ) = 0
t = 9 and -7(ignore)
t = 9 seconds
Therefore, the time taken by the object to hit the ground will be 9 seconds.
To know more about a quadratic equation follow
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QUWX is a field in the shape of a Trapezium whose parallel sides are 121m and 56m and the non parallel sides are 82m and34m. find the cost of ploughing the field at Rs 14.89 per square kilometre.(help with this one)
Answers
Answer:
hence the total cost to plough the trapezium field
is Rs. 893500.50
Step-by-step explanation:
the required answer may be wrong .... but this is the way to do it....
hope this helped you...☺️
comment if any confusion
Today, both the soccer team and the basketball team had games. The soccer team plays every 4 days and the basketball team plays every 5 days.
Answers
Answer:
20
Step-by-step explanation:
Assuming you are referring to the day that both teams would play on the same day, it would be the 20th.
There are two ways you can do it.
1. List out the multiples of each number
2. multiply the two days together
If you want to do it the first way it would look like this...
5 10 15 20
4 8 12 16 20
When you do it like this it shows you that the 20th day is the day they would both play together
If you want to do it the second way it would look like this...
4th day X 5th day = 20th day
Either way you solve the problem you get the same answer, this may not work for every problem like this, but it works for this particular one
Help me with this problem plzzz
Answers
Answer:
definition of perpendicular
Step-by-step explanation:
typically when 2 lines cross they are 90 degrees or other word... perpendicular
If triangle weighs 1 gram how much does a square weigh
Answers
Answer:
the answer should me 1.5 grams
Step-by-step explanation:
In a patriotic bag of red, white and blue M&Ms, it is found that there are 305 M&Ms. There are three times as many red as white. The blue are five more than twice the white. How many blue M&Ms are in the package ?
A. 50
B. 75
C. 35
D. 105
E. 95
Answers
Using a system of equations, it is found that the number of blue M&Ms in the package is of:
D. 105
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.In this problem, the variables are:
Variable x: Number of red M&Ms.Variable y: Number of white M&Ms.Variable z: Number of blue M&Ms.There are 305 M&Ms, hence:
[tex]x + y + z = 305[/tex]
There are three times as many red as white, hence:
[tex]x = 3y[/tex]
[tex]x + y + z = 305[/tex]
[tex]3y + y + z = 305[/tex]
[tex]4y + z = 305[/tex]
The blue are five more than twice the white, hence:
[tex]z = 5 + 2y[/tex]
Then:
[tex]4y + z = 305[/tex]
[tex]4y + 5 + 2y = 305[/tex]
[tex]6y = 300[/tex]
[tex]y = \frac{300}{6}[/tex]
[tex]y = 50[/tex]
[tex]z = 5 + 2y = 5 + 2(50) = 105[/tex]
Hence option D is correct.
To learn more about system of equations, you can take a look at https://brainly.com/question/24823220
The circular top of a clay pot has a diameter of 14 centimeters . What is the circumference of the pot's circular top ? Use 3.14 for π
Answers
Answer:
Circumference formula is πr². while we do not have the radius, you do have the diameter, the diameter is the full length of the circle while the radius is half of the circle. So you take 14/2=7 so the new equation is π7² so you would do 7x7 to get 49, then you would do 49 x 3.14 and you'll have 153.86 Centimeters². You'll need to double check this but I hope this helped.
PLS help I will mark brainiest and say thanks and give five stars.
Answers
Answer:
m<BEC=80º
Step-by-step explanation:
a line is 180º total
180-70-30=80
Answer:
BEC = 80°
Step-by-step explanation:
Supplementary = 180°
70 + 30 = 100
180 - 100 = 80
Hope this helps! Pls give brainliest!
help - *sobs* lol T_T
Answers
A. 112°
21x+5+37x+1=180
58x+6=180
-6
58x=174
÷58
X=3
37(3)+1
111+1
112