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Sveta_85
1 month ago
9

Greg and Marti are racing remote control cars. The race starts at t=0 and the cars distance is measured from the start line. Bot

h cars have a constant rate of change. Information about each of the cars during the race is shown below.

Mathematics
2 answers:
PIT_PIT [12.4K]1 month ago
8 0

Response:

  • Marti is declared the winner

Step-by-step explanation:

Continuation of question:

  • After 10 seconds, the race concluded. The winner is the racer farthest from the starting point. Which car deserves the title of winner? Use mathematical reasoning to support your conclusion.
  • Table is attached

Solution

Greg

  • Travel speed = 13 ft/s
  • Initial position = 30.7 ft from the starting point after 2 seconds
Distance from the starting point after 10 seconds:

30.7 + 13*(10 - 2) = 30.7 + 13*8 = 30.7 + 104 = 134.7 ft
Marti

Travel speed = 16.5 ft/s
  • Starting position = 2 ft from the beginning line
Distance from starting point after 10 seconds:

2 + 10*16.5 = 2 + 165 = 167 ft
  • In comparing the distances from the start line, 134.7 ft against 167 ft, Marti is further from the start line and is thus declared the winner.

AnnZ [12.3K]1 month ago
4 0

Response: Marti

Step-by-step explanation: Marti is the farthest as indicated, since Greg's vehicle covers 13 feet but after a duration of two seconds, he was positioned 30.7 feet from the starting line while Marti started 2 feet ahead; however, her vehicle accelerates more significantly: (16.5 > 13). Thus, calculating: Greg's position = 30.7 + 13 x 10 = 160.7 | Marti's position: 2 + 16.5 x 10 = 167, confirming Marti's victory in the race as she should be honored as the winner.

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I WILL AWARD BRAINLIEST!! PLEASE HELP!!! The figure below shows the movement of a pedestrian from point B to point E. Using the
Inessa [12570]

A) The speed of pedestrian BC is 5 km/h

    The speed of pedestrian CD is 0 km/h

    The speed of pedestrian DE is 5 km/h

B) He reached E since the stop after 6 hours

C) The formula for section BC is d(t) = 40 - 5t

    The formula for section CD is d(t) = 20

    The formula for section DE is d(t) = 50 - 5t

Step-by-step breakdown:

A)

In the time-distance graph, speed represents the change in distance with respect to time

this means speed = Δd/Δt ⇒ (slope of the line)

For line BC:

1. Δd = 40 - 20 = 20 km

2. Δt = 4 - 0 = 4 hours

3. The speed = 20 ÷ 4 = 5 km/h

The speed of pedestrian BC stands at 5 km/h

For line CD:

1. Δd = 20 - 20 = 0 km

2. Δt = 6 - 4 = 2 hours

3. The speed = 0 ÷ 2 = 0 km/h

The speed of pedestrian CD is 0 km/h

For line DE:

1. Δd = 20 - 0 = 20 km

2. Δt = 10 - 6 = 4 hours

3. The speed = 20 ÷ 4 = 5 km/h

The speed for pedestrian DE is 5 km/h

B)

∵ He stopped at t = 4 hours

∵ He reached point E at t = 10 hours

∵ 10 - 4 = 6 hours

He arrived at E since the stop took 6 hours

C)

<pthe line="" equations="" are="" characterized="" by:=""><pthe general="" form="" of="" a="" line="" equation="" is="" f="" mx="" c="" where="" m="" represents=""><pthe slope="" and="" c="" is="" the="" y-intercept="" value="" of="" y="" when="" x="" equals="">

1. f(x) is referenced as d(t)

2. m is the speed

3. x corresponds to t

4. You can calculate c by substituting any coordinates of a point along the line into the formula

<pline bc="">

Line BC has a negative slope because d decreases as t increases

∵ m = -5 and c = 40

Thus, d(t) = 40 - 5t

The equation for section BC is d(t) = 40 - 5t

Line CD

Line CD is a horizontal line (which follows the form of any horizontal line represented as y = c)

Thus, m = 0 and c = 20

Therefore, d(t) = 20

The equation for section CD is d(t) = 20

Line DE

Line DE features a negative slope as d decreases along with an increase in t

∵ m = -5

Thus, d(t) = -5t + c

The value of c can be determined by substituting point D's coordinates into the equation

∵ D's coordinates are (6, 20)

Thus, 20 = -5(6) + c

So, 20 = -30 + c

Adding 30 to both sides yields

∴ c = 50

Thus, d(t) = 50 - 5t

The equation for section DE is d(t) = 50 - 5t

Further Learning:

<padditional information="" regarding="" distance="" speed="" and="" time="" can="" be="" found="" in="">

</padditional></pline></pthe></pthe></pthe>
3 0
3 months ago
Isabella buys a 1.75 litre carton of apple juice. What is the largest number of 200 millilitre glasses that she can have from th
Leona [12618]
Isabella can pour a maximum of 8 full glasses. With 1.75 liters converted to milliliters being 1750, dividing that by 200 gives 8.75 cups.
6 0
3 months ago
Victoria builds a dollhouse in the shape of a right prism, as show below
PIT_PIT [12445]
Your response is correct.
7 0
2 months ago
Jada solved the equation Negative StartFraction 4 over 9 EndFraction = StartFraction x over 108 EndFraction for x using the step
Svet_ta [12734]

Answer:

Jada's mistake was that he multiplied the equation by (-9/4) instead of using 108 to achieve a coefficient of one for x. He ought to have multiplied by 108

Step-by-step explanation:

Jada tackled the equation

-4/9 = x/108

following these steps:

-4/9 = x/108

(-4/9)(-9/4) = (x/108)(-9/4)

x = -1/48

The error was multiplying by (-4/9) when multiplying by 108 was the correct approach.

If he had multiplied by 108, it would result in

(-4/9)(108) = (x/108)(108)

-48 = x

x = -48

Thus, the correct answer should have been

x = -48

rather than

x = -1/48

8 0
2 months ago
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