Michael is riding his tricycle, he has a head start of 5 meters and is pedaling at 2 meters every 3 seconds. What is the equation of the line? What is the independent and dependent variables?

Answers

Answer 1

Answer:

The correct answer is

y = 2 ÷ 3x + 5

where,

x = independent variable

y = dependent variable

Step-by-step explanation:

According to the given scenario, the equation of the line, independent and the dependent variable is as follows:

y = mx + b

Since the head is started with 5 meters and the pedaling at 2 meters for every 3 seconds i.e. 2 ÷ 3

So the equation line is

y = 2 ÷ 3x + 5

where,

x = independent variable

y = dependent variable


Related Questions

a=zm+z solve for m please help!!!!!

Answers

Answer:

(a-z)/z = m

Step-by-step explanation:

a = zm+z

Subtract z from each side

a-z = mz+z-z

a-z = mz

Divide by z

(a-z) /z = mz/z

(a-z)/z = m

A ladder leans against the side of a house. The angle of elevation of the ladder is 70 when the bottom of the ladder is 16ft from the side of the house. Find the length of the ladder. Round your answer to the nearest tenth.

Answers

46.78

Step-by-step explanation:

you divide 16 by the cos of 70 and it turns out to be 46.78

Are the two given triangles similar? Show your work to support your answer.
Helpppp please

Answers

Yes they’re both right angles and to get either triangle you divide or multiply by 1/2 or 2

yooooooooooooooooooooooooooooooooooooooooooooooooooooo

Answers

Answer:

yooooooooooooooooooooooooooooo

Rewrite 7/2+ 14/25 as a single decimal.

Answers

Answer:

4.06

Step-by-step explanation:

7/2+14/25 Change into decimals

3.5+0.56 Add together

=4.06

help please!

Does mapping the triangle DEF onto triangle GHI prove the two triangles are congruent? Explain your reasoning.

Answers

Yes, and there are actually several methods to do so. One method to ensure congruency is to rotate and translate the triangle onto the other, which does not change the shape or size, only where it is. They perfectly match each other when rotated and translated, showing perfect congruency. Another way to ensure congruency is to find angle lengths/slope. Using the slope formula (rise/run), we can find both slopes (whch is the distance in this case) of each side length of both triangles. The angle lengths and slopes are equal to each other.

Mapping the triangle DEF onto triangle GHI gives the coinciding image so the length will be the same and thus it can prove congruency.

What is congruence?

If two figures are exactly the same in sense of their length side all things then they will be congruent.

If it is possible to superimpose one geometric figure on the other so that their entire surface coincides.

As per the given graph,

Triangle GHI and triangle DEF are plotted.

If we map triangle DEF onto GHI since the length is the same and orientation will become the same so both triangles will coincide with each other.

And it is known that if the length of all sides of a triangle is the same then they will be called a congruent triangle.

Hence"Mapping the triangle DEF onto triangle GHI gives the coinciding image so the length will be the same and thus it can prove congruency".

To learn more about congruence,

https://brainly.com/question/12413243

#SPJ5

what is π + e its easy

Answers

Answer:

5.85987448205

Step-by-step explanation:

Answer:

The answer is e+pi

Step-by-step explanation:

find all real values of $t$ that satisfy the equation $t^2 = 324$. the answer is 18.

Answers

Answer:

the real values that satisfy the equation are:

[tex]t=18,\:t=-18[/tex]

Step-by-step explanation:

Given the equation

$t² = 324$

Let us solve the equation

[tex]t^2=324[/tex]

[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]

[tex]t=\sqrt{324},\:t=-\sqrt{324}[/tex]

as

[tex]\sqrt{324}=18[/tex][tex]-\sqrt{324}=-18[/tex]

so

[tex]t=18,\:t=-18[/tex]

Thus, the real values that satisfy the equation are:

[tex]t=18,\:t=-18[/tex]

Ur account got ha ked again...

well...

ill let you see for

13.
What is the circumference of a circle whose area is 16 pi?
A. 64 pi
B. 32 pi
C. 8 pi
D. 4 pi

Answers

I think it would be 4 po

Answer:

What is the circumference of a circle whose area is 16 π ?

A. 64  π  

B. 32 π  

C. 8  π  

D. 4  π

Step-by-step explanation:

its  8 π  cause it said it was correct

The heights of two elevators can be modeled by linear functions. At time t = 0. Elevator A is 16 feet above ground floor.
It descends at a rate of 4 feet per minute. The height of Elevator B is shown in the graph.
Which of the following statements are true? Select all that are true.

Answers

Answer:

Option B: Elevator A descends at a faster rate than elevator B

Option C: Elevator A will reach the ground first

Step-by-step explanation:

Elevator A: -4x+16

Elevator B: -3x +16

Option B: Elevator A descends at a faster rate than elevator B

Option C: Elevator A will reach the ground first

The calculation is as follows:

For Elevator A: -4x+16

And,  

Elevator B: -3x +16

Therefore the above statements are true.

Learn more: https://brainly.com/question/20492533?referrer=searchResults

What is the y-intercept of the equation?

Answers

Answer:

Step-by-step explanation:

The above equation is of the form y=mx+c

c is the y intercept so c=2

The y intercept is 2
Because the actual equation is y=mx+b
B=2

Ursula ordered products for the craft store. She ordered baskets that cost $17 each and flower arrangements that cost $13 each. She spent a total of
$576.
If Ursula ordered 14 baskets, how many flower arrangements did she order?

Answers

Answer:

26 flower arrangements

Step-by-step explanation:

14 times $17 equals $238

$576 - $238 = $338

$338/13 = 26 flower arrangements

20 points !
If a cone has a volume of 47.1 cubic yards and a height of 5 yards, what is the radius of the cone? (Use 3.14 for « )
1.5 yards
1.73 yards
3 yards
4.5 yards

Answers

Answer:

3

Step-by-step explanation:

V=πr2h

3

Solving for r

r=3V

πh=3·47.1

π·5≈2.99924

Answer:

3

Step-by-step explaination

Susie is solving the quadratic​

Answers

Answer:

Option (D)

Step-by-step explanation:

Standard equation of a quadratic function is,

ax² + bx + c

Comparing this function with the given quadratic function,

f(x) = 2x² - 4x - 3

a = 2, b = -4 and c = -3

By using quadratic formula to get the value of x,

x = [tex]\frac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]

  = [tex]\frac{-(-4)\pm \sqrt{(-4)^2-4(2)(-3)} }{2(2)}[/tex]

  = [tex]\frac{4\pm\sqrt{16+24}}{4}[/tex]

  = [tex]\frac{-4\pm \sqrt{40}}{4}[/tex]

  = [tex]\frac{-2\pm \sqrt{10}}{2}[/tex]

Therefore, Susie made a mistake in step IV.

Option (D) is the answer.

M (3, –6) is rotated 90° counterclockwise. (x, y) → (–y, x) 1. Switch the x- and y-coordinates: (6, –3) 2. Multiply the new x-coordinate by –1: (6(–1), –3) 3. Simplify: (–6, –3) Mary Beth used the mapping rule to find the coordinates of a point that had been rotated 90° counterclockwise around the origin. Examine the steps to determine whether she made an error. The student made .

Answers

Answer:

The answer is below

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation is rotation, reflection, translation and dilation.

If a point  (x, y) is rotated 90° counterclockwise, its new coordinate is (–y, x).

Give point M (3, –6) is rotated 90° counterclockwise:

Step 1: Interchange the x- and y-coordinates to get (-6, 3)

Step 2: Multiply the new x-coordinate by –1 to get (-6(–1), 3)

Step 3: Simplify to get (6, 3)

Therefore she made an error in step 1

Answer: An error in step one

Step-by-step explanation:

Identify the range of the function shown in the graph.
A.–6 ≤ x ≤ 6
B.y is all real numbers.
C.0 ≤ y ≤ 8
D.y > 0

Answers

The answer is A

the triangle is highlighted around -6 and 6 on the x axis

I need help asap pleaseeee

Answers

Answer: B,C

Step-by-step explanation:

Elevator A: -4x+16

Elevator B: -3x +16

8 - 5.5 =
10.5 - 8=
13 - 10.5 =
15.5 - 13=

Answers

1. ) 2.5
2.) 2.5
3.) 2.5
4.) 2.5
Lol wow :)

1) 2.5

2) 2.5

3) 2.5

4) 2.5

What is the equation of the line that is parallel to the line x = -2 and passes through the point (-5, 4)?
O x=-5
O X= 4
O y=-5
O y = 4

Answers

Answer:

The equation of the line that is parallel to the line x = -2 and passes through the point (-5, 4) is x=-5

Option A is correct.

Step-by-step explanation:

We need to find equation of the line that is parallel to the line x = -2 and passes through the point (-5, 4)

We need a line parallel to x=-2 or x+2=0 it should be of form x+k=0

We need to find k, by putting value of x=-5 as given in question the point(-5,4)

-5+k=0

k=5

So, the equation of line will be found by putting k=5:

x+k=0

x+5=0

x=-5

So, the equation of the line that is parallel to the line x = -2 and passes through the point (-5, 4) is x=-5

Option A is correct.

Increase £16470.45 by 3.5% by 2DP

Answers

Answer:

17,046.92 i think

Step-by-step explanation:

i neeed thiss pleaseeeeeee!!!!!!

Answers

2 the answer is two I think

A number is decreased by seven. Then, the new number is multiplied by 3 to get an answer of -9.

What is the original number?

-4
-30
4
30

Answers

Answer:

regular 4 is correct

Step-by-step explanation:

Answer:

C. 4

Step-by-step explanation:


In order for Josh to graph the solution to the inequality 4x - 2y > 6, which of the following steps does he need to use? Select all that apply.

Shade above the line.
Solve the inequality as y < 2x-3.
Draw the line y=2x-3 as a solid line.
Draw the line y=2x-3 as a dashed line.
Shade below the line.
Solve the inequality as y> 2x-3.

Answers

Solve the inequality as y < 2x-3.

Draw the line y=2x-3 as a dashed line.

Shade below the line.

Josh needs to follow the steps to draw the required inequality graph.

Solve the inequality y < 2x - 3 by solving for the x and y-interceptDraw the straight line y < 2x - 3 as a dashed line (since we have less than sign )Shade below the line. (Below the line are shaded for inequality sign that is "less than")

Inequality expressions are expressions that are not separated by an equal sign.

Given the inequality expression 4x - 2y > 6,

Dividing through by 2 will give:

4x/2 - 2y/2 > 6/2

2x - y > 3

Make y the subject of the formula

-y > -2x + 3

y < 2x -3

For Josh to plot the inequality graph of y < 2x - 3, he needs to follow the process;

Solve the inequality y < 2x - 3 by solving for the x and y-interceptDraw the straight line y < 2x - 3 as a dashed line (since we have less than sign )Shade below the line. (Below the line are shaded for inequality sign that is "less than")

Learn more here: https://brainly.com/question/6874464

Write an algebraic expression in simplest form that represents the purchase described below.
Use the information provided:

Cat toy $4

Cat food $12

Litter box $16

Ms. James bought x number of litter boxes and 8 bags of cat food for the animal shelter.

Answers

Answer: 16x+96

Step-by-step explanation:

Since x is the number of litter boxes, you multiply it by the cost of the litter box. It would be 16*x, but you can also phrase it as 16x. For the cat food, you need to multiply 12 by 8. This is because it costs $12, and she bought 8 bags of the food. If you do 12*8, you get 96. In the end, you get 16x+96

(repost forgot some) Netflix Recommendations??(WORTH 50 POINTS) Ive seen..
Riverdale
Ozarks
Outerbanks
Vampire Diaries
Legacies
CSI Miami
Chicago P.D.
Zoo
Insatible
Breaking Bad
Schitts Creek
Sex Ed
Grey's Anatomy
All American
Cobra Kai
Criminal Minds
Stranger Things
Selling Sunset

Answers

Answer:

The Office

Step-by-step explanation:

In order to evaluate energy demand for heating services, the number of heating degree days are calculated. The number of heating degree days can be calculated by the formula H = 65 - T, where 65 is degrees Fahrenheit, and T is the average of the high and low temperatures for the day. If the high temperature for a day was 52°F and the low temperature for the same day was 45°F, what is the number of heating degree days?

Answers

Answer:

The number of heating degree days is 16.5.

Step-by-step explanation:

First, we calculate the average of the high ([tex]T_{H}[/tex]) and low temperatures of the day ([tex]T_{L}[/tex]), measured in degrees Fahrenheit. If we know that [tex]T_{H} = 52\,^{\circ}F[/tex] and [tex]T_{L} = 45\,^{\circ}F[/tex], then the average temperature ([tex]T[/tex]), measured in degrees Fahrenheit, is:

[tex]T = \frac{T_{L}+T_{H}}{2}[/tex] (1)

[tex]T = \frac{45\,^{\circ}F+52\,^{\circ}F}{2}[/tex]

[tex]T = 48.5\,^{\circ}F[/tex]

And the number of heating days is:

[tex]H = 65-48.5[/tex]

[tex]H = 16.5[/tex]

The number of heating degree days is 16.5.

The football team has a total of 20 jerseys. There are 2 ​medium-sized jerseys. What percent of the jerseys are​ medium-sized jerseys?

Answers

Answer:

10%

Step-by-step explanation:

The answer is 10% because when you multiply 20 by 10% you get 2 and if you multiply 2 by 10 you get 20.

Answer:

10%, remember to hit that thanks button

Step-by-step explanation:

Makayla's car used 4 gallons to travel 148 miles. How many miles can the car go on one gallon of gas?

Answers

Answer:

34

Step-by-step explanation:

184 divided bye 4

Answer:

37 miles

Step-by-step explanation:

148/4

I need help. If you can, thank you.

Answers

Answer:

Y = 2x + 1

Step-by-step explanation:

Hope this helps. Pls give brainliest.

Y =2x +1 there hope it’s helps

8x=24
Solve the equation for x

Answers

Answer:

x=3

Step-by-step explanation:

Divide both sides by 8.

Answer:

3

Step-by-step explanation:

8x3=24..............

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