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d1i1m1o1n [39]
3 years ago
5

The graph shows the results of a race between Parin and Andrew. Both boys begin the race at the same time.

Mathematics
2 answers:
dolphi86 [110]3 years ago
5 0

Parin runs a longer race than Andrew   &  Andrew finishes the race 1 s after Parin finishes the race.

ziro4ka [17]3 years ago
3 0

The graph below shows the velocity of two bicyclists A and B in arace from time t=0 to time t=16. The racers start side by side andtravel along the same road. The race begins at time t=0 and at timet=16 one of the racers completes the course.


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Given that vector p=i+2j-2k and q=2i-j+2k, find two vectors m and m satisfying the condition;
Stels [109]

9514 1404 393

Answer:

  • m = j +k
  • n = 2i +k

Step-by-step explanation:

There are <em>an infinite number of possibilities</em>. Any vector whose dot-product with p is zero will be perpendicular to p.

Let m = 0i +1j +ak. Then we require ...

  m·p = 0 = 0×1 +1×2 +a(-2)   ⇒   0 = 2 -2a   ⇒   a = 1

m = 0i +1j +1k

__

Let n = 2i +0j +bk

  n·p = 0 = 2×1 +0×2 +b(-2)   ⇒   2 -2b = 0   ⇒   b = 1

n = 2i +0j +1k

6 0
2 years ago
What is the best approximation for relative maximum of the polynomial function graphed below?
AlexFokin [52]

A. (0.6, -2.8)

Hope this helps! :)

8 0
2 years ago
10 points
Sergeu [11.5K]

Step-by-step explanation:

The mode is 7 because it is 5 times

8 0
3 years ago
12. A drawer contains 2 red socks, 6 white socks,
777dan777 [17]

Answer:

Probability that first sock is blue is 0.33 and Probability that second sock is red is 0.16

Step-by-step explanation:

Number of red socks = 2

Number of white socks = 6

Number of blue socks = 4

Total socks in drawer = 2+6+4 = 12

The formula used to calculate probability is: Probability=\frac{Number \ of \ favourable \ outcomes}{Total \ number \ of  \ outcomes}

We are given you draw out a  sock, return it, and draw out a second sock.

We need to find the probability that the first sock is blue and the  second sock is red?

Using formula:

Probability that first sock is blue = 4/12 = 1/3 = 0.33

Probability that second sock is red = 2/12 = 1/6 = 0.16

So, Probability that first sock is blue is 0.33 and Probability that second sock is red is 0.16

3 0
2 years ago
Kirby is four miles from the train station, from which a train is due to leave in 56 minutes. Kirby is walking along at 3 mph, a
Luda [366]
Let's assume that Kirby walks with a speed 
v_1 = 3 mph
for a time t_1, and that he runs with a speed
v_2 = 12 mph
for a time t_2.

The total time available for Kirby to catch the train is:
t=56 min = 0.93 h
and this must be equal to the sum of the two times t1 and t2:
0.93 = t_1 + t_2 

The distance Kirby should cover is
S=4 m
and this should be equal to the sum of the distances covered by walking and by running:
4 = S_1 + S_2 = v_1 t_1 + v_2 t_2 = 3 t_1 + 12 t_2

So we have a system of 2 equations:
0.93 = t_1 + t_2
4 = 3 t_1 + 12 t_2

If we solve the system, we find:
t_1 = 0.80 h = 48 min
t_2 = 0.13 h = 8 min

So, Kirby needs to run at least for 8 minutes in order to catch the train.
6 0
3 years ago
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