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

Answer 1

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:

You Are Skateboarding At A Pace Of 30 Meters Every 5 Seconds. You Friend Is In-line Skating At A Pace

Related Questions

SOMEONE HELP WITH THIS PLEASE!!

Answers

Answer:

Step-by-step explanation:

you just have to evaluate the expression and then solve it

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.

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]

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

https://brainly.com/question/2264627

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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

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

guys pls help me!!!!!!

Answers

Answer:

48 degrees

Step-by-step explanation:

Answer: 6.8

Step-by-step explanation:

nnxj

[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]

-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

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

The answer is e^2x+3 = 2

Fill in the missing number. % of 90 = 54

Answers

Answer:

60

Step-by-step explanation:

Trust me homie

help - *sobs* lol T_T

Answers

I think it’s either 124 or 112

A. 112°

21x+5+37x+1=180

58x+6=180

-6

58x=174

÷58

X=3

37(3)+1

111+1

112

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]    

A bag has  4 red balls ,3 green balls and 5 blue balls. What is the probability of getting a red ball  randomly​

Answers

1/3 of a chance or 33%
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.

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!

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)

nye nye nye nye nye nye nye ​

Answers

Answer:

what question is this lol

Step-by-step explanation:

yes loving it your amazing hope your doing well in school

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)

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

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.

If triangle weighs 1 gram how much does a square weigh

Answers

Answer:

the answer should me 1.5 grams

Step-by-step explanation:

The weigh of a square is not a whole number therefore it’ll be 1.5

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,

https://brainly.com/question/3605446

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a circle plane figure bounded by a curved line called the​

Answers

Answer:

Circle

Step-by-step explanation:

Write your answer as a coordinate (x,y)

Find the midpoint between the given pairs of points.

(10,8) (14,-6)

Answers

5,4 6, -3/3


Mekddkdjdjdndndm

Answer:

(12,1)

Step-by-step explanation:

(10+14)/2 and (8+-6)/2

= (12,1)

What is 4 plus 3 plus 6 plus 10

Answers

23 is the ejejhdbdbndndjdndbdbdbhd

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

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

What is -1/2(-4/5) multiplied then in simplest form?

Answers

-1/2(-4/5)

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.

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

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

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