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nevsk [136]
3 years ago
6

Debra can run two and a half miles into 1/4 hour how many miles per hour can she run ​

Mathematics
2 answers:
larisa [96]3 years ago
7 0
Debra can run 10 miles per hour
Debora [2.8K]3 years ago
7 0

Answer:

Debra can run 10 miles per hour

Step-by-step explanation:

2.5 times 4 = 10

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QUESTION 1
Kitty [74]

It's difficult to make out what the force and displacement vectors are supposed to be, so I'll generalize.

Let <em>θ</em> be the angle between the force vector <em>F</em> and the displacement vector <em>r</em>. The work <em>W</em> done by <em>F</em> in the direction of <em>r</em> is

<em>W</em> = <em>F</em> • <em>r</em> cos(<em>θ</em>)

The cosine of the angle between the vectors can be obtained from the dot product identity,

<em>a</em> • <em>b</em> = ||<em>a</em>|| ||<em>b</em>|| cos(<em>θ</em>)   ==>   cos(<em>θ</em>) = (<em>a</em> • <em>b</em>) / (||<em>a</em>|| ||<em>b</em>||)

so that

<em>W</em> = (<em>F</em> • <em>r</em>)² / (||<em>F</em>|| ||<em>r</em>||)

For instance, if <em>F</em> = 3<em>i</em> + <em>j</em> + <em>k</em> and <em>r</em> = 7<em>i</em> - 7<em>j</em> - <em>k</em> (which is my closest guess to the given vectors' components), then the work done by <em>F</em> along <em>r</em> is

<em>W</em> = ((3<em>i</em> + <em>j</em> + <em>k</em>) • (7<em>i</em> - 7<em>j</em> - <em>k</em>))² / (√(3² + 1² + 1²) √(7² + (-7)² + (-1)²))

==>   <em>W</em> ≈ 5.12 J

(assuming <em>F</em> and <em>r</em> are measured in Newtons (N) and meters (m), respectively).

3 0
3 years ago
What is the equation of the line in slope-intercept form?
kondor19780726 [428]

Answer:

The answer would be C because b=+16 which means that it intercepts line y at 16, which is shown in the graph.

Step-by-step explanation:

5 0
2 years ago
Robert earned scores of 81, 93, 76, and 78 on four English tests. Determine his score on the
tekilochka [14]

Answer:

97

Step-by-step explanation:

81 + 93 + 76 + 78 + 97 = 425

425/5 = 85

3 0
3 years ago
There are 8 teachers and 40 students going on a field trip. If 20 more students decided to go on the field trip, then how many m
Vladimir79 [104]

Answer:

B. 4 more teachers

Step-by-step explanation:

5 0
3 years ago
15. Fruit the price of pears and apples is $14. The price of 3 pears and 9 apples is $21. Can you determine the unit prices for
Veronika [31]

Answer:

your answer gonna be $ 47 dollars

6 0
2 years ago
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