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WARRIOR [948]
3 years ago
12

Mary places a miniature car onto a track with launchers. The speed of the car is recorded every foot. Some of the data is shown

on the table. Mary graphs the data on the coordinate grid below. At what distance do you think the car will stop? Explain and write the ordered pairs.
Distance Speed
0 0
1 4
2 8
3 6
4 3

Mathematics
1 answer:
Arada [10]3 years ago
8 0

Answer:

  5 or less

Step-by-step explanation:

The speed increased linearly with distance, but is not decreasing linearly with distance. This suggests the track has an unknown shape, so prediction of car behavior is a guess, at best.

If the car continues to decrease its speed at 3 units per unit distance, then the final 3 units of speed will decrease to 0 in one additional unit of distance. That is, the car will stop at a distance of 5 units.

___

Since the car has be decreasing its speed at an increasing rate with respect to distance, very possibly the car will stop before it reaches distance unit 5.

Since we don't know the track shape, it seems possible the car may not stop until some large unknown number of distance units, say 10 or 1000.

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HELP PLEASE???!!!!!!!
Fiesta28 [93]

Answer:

<h2>A. (-4, -15)</h2>

Step-by-step explanation:

\left\{\begin{array}{ccc}y=\dfrac{3}{4}x-12&(1)\\y=-4x-31&(2)\end{array}\right\\\\\text{Substitute (1) to (2):}\\\\\dfrac{3}{4}x-12=-4x-31\qquad\text{multiply both sides by 4}\\\\3x-48=-16x-124\qquad\text{add 48 to both sides}\\\\3x=-16x-76\qquad\text{add}\ 16x\ \text{to both sides}\\\\19x=-76\qquad\text{divide both sides by 19}\\\\x=-4\\\\\text{Put it to (2):}\\\\y=-4(-4)-31\\y=16-31\\y=-15

7 0
3 years ago
5.A. Jonah filled a box and said its volume was 25 balls. Shandra filled the same box and said its volumen was 36 cubes. Explain
melamori03 [73]

Answer:

  the balls are larger, or don't pack as tightly

Step-by-step explanation:

The volume by either measure will depend on a couple of factors:

  • the volume of the unit used (ball or cube)
  • the way the units can be packed

In a rectangular space, such as a box, it may be easier to pack cubes than balls. So, more cubes of the same volume would fit simply because they can be packed closer together.

We aren't told the volume of either the cube or the ball, and we're not told the extent to which the packing is optimized.

Fewer balls may fit because their packing is not as well optimized as that of the cubes, or because each has a larger volume than the cube being used.

4 0
2 years ago
Shawn filled a bucket with 5 1/4 gallons of water. A few minutes later, he realized only 1 1/3 gallons of water remained. How mu
Morgarella [4.7K]
Answer: 3 11/12
Explanation: convert the fractions 1/4 and 1/3 to fractions with a denominator of 12. Your fractions become 3/12 and 4/12. Subtract 4/12 from 5 3/12 and get 4 11/12. Subtract one and get 3 11/12.
7 0
3 years ago
At the moment a hot cake is put in a cooler, the difference between the cake's and the cooler's temperature is 50° Celsius. This
dybincka [34]

Answer:

D(t)=50(0.8)^t

Step-by-step explanation:

We are given that

Initially the difference between the cake's and the cooler's temperature ,a=50 degree Celsius

r=\frac{1}{5}/min

We have to find the function that gives the temperature difference in degrees Celsius D(t).

We know that

D(t)=a(1-r)^t

Substitute the values

D(t)=50(1-\frac{1}{5})^t=50(1-0.2)^t

D(t)=50(0.8)^t

This is required function that gives the temperature difference in degrees Celsius.

6 0
3 years ago
Read 2 more answers
Simplify the expression. Explain each step.<br><br> 3.2+(x+5.1)
Andrew [12]
Ok so I’m not sure but here’s what I would do to solve it
There is only one x so
X+
5.1+3.2=8.3
So
X+8.3 is the answer
Hope that helps xx
5 0
3 years ago
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