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Usimov [2.4K]
2 years ago
15

What is the slope of the segment shown for a staircase with 10-inch treads and 7.75-inch risers? As you walk up (or down) the st

airs, your vertical distance from the floor is a linear function of your horizontal distance from the point on the floor where you started. Is the function discrete or continuous? Explain.
Mathematics
1 answer:
s2008m [1.1K]2 years ago
8 0

The formula for slope is

Slope = Rise / Run = Risers / Treads

Slope = 7.75 in /10 in = 0.775

The slope Is 0.775.

The vertical distance is not continuous, thus it is discrete. A discrete function only allows certain points in the interval. When you walk up or down the stairs, the vertical distances are not continuous because of the treads. You cannot stay also mid-air, so it should be discrete. An example of a continuous function would be when you walk up or down an inclined plane. 

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Please help me asap! Could you please explain how you got the answer
svetoff [14.1K]

Answer:

B) 23

Step-by-step explanation:

Table:          <u>  Algebra | No algebra | Total</u>

Physics        |      4           Step 1: 8      12

No physics  |Step 2: 15

Total            |      19                              30

We look for the number of people who are in algebra and no physics or physics and no algebra.

1. 12 - 4 = <em>8</em>

2. 19 - 4 = <em>15</em>

3. We find the total of those numbers: <em>15 + 8 =</em> 23

7 0
2 years ago
People at the state fair were surveyed about which type of
Ronch [10]

Answer:

Step-by-step explanation:

You would require the table with the number of males and females who prefer either pink or yellow lemonade at the state fair.

                      Pink Lemonade         Yellow Lemonade       TOTAL

 

Male                    156                                104                          260

 

Female                  72                               48                          120

 

TOTAL                 228                               152                         380

P(pink lemonade | female) = 72 / (48 + 72) = 72 / 120 = 0.6

P(pink lemonade) = (156 + 72) / (156 + 72 + 104 + 48) = 228 / 380 = 0.6

Therefore, The event "prefers pink lemonade" and "female" are independent because P(pink lemonade | female) = P(pink lemonade) = 0.6

6 0
2 years ago
The scatterplot shows the sales, in dollars, of snow cones in relation to the outside temperature, in degrees Celsius. According
maksim [4K]

B) it is 450 dollars

7 0
2 years ago
Read 2 more answers
Show how to make a ten to solve 13-7. Write the number sentence.
VARVARA [1.3K]
-7 + 3 + 10 = -4 + 10 = 10 - 4 = 6. 

To turn 13 into 10, you need to break it up into 10 + 3, which does not change the value of 13. Then, you add 3 to -7, which results in -4. Next, you add -4 to 10 (or rather, subtract 4 from 10), which results in 6. 

5 0
2 years ago
Use the formula t=ln2/k that gives the time for a population, with a growth rate k, to double, to answer the following question.
Arturiano [62]

Answer:

  • k = 0.005
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Step-by-step explanation:

Matching the form

  A = A0·e^(kt)

to the given equation

  A = 8·e^(.005t)

we can identify the value of k as being 0.005.

  k = 0.005

___

The doubling time is given by the formula ...

  t = ln(2)/k = ln(2)/0.005 ≈ 138.63

It will take about 139 years for the population to double.

3 0
2 years ago
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