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Jlenok [28]
3 years ago
6

Describe the location of the given points in relation to the origin

Mathematics
1 answer:
miv72 [106K]3 years ago
7 0

Answer:

  1. (2,-1,-3)\ \ \rightarrow \ \ \text{(2 forward, 1 left, 3 down)}
  2. (-4,-3,2)\ \ \rightarrow \ \ \text{(4 back, 3 left, 2 up)}

Step-by-step explanation:

The given two points are,

  1. (2,-1,-3)
  2. (-4,-3,2)

Relation of the point to the origin means how much far and in which direction the point is located from the origin (0, 0, 0)

From the attachment it is evident the the point (2,-1,-3) is located 2 forward, 1 left, 3 down from the origin. And point (-4,-3,2) is located 4 back, 3 left, 2 up.

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What is the 101st term in the sequence 997, 989, 981, ...?
melamori03 [73]

Answer: first option.

Step-by-step explanation:

Find the common difference d of the arithmetic sequence:

d=a_n-a_{(n-1)}\\d=989-997\\d=-8

Then the formula for the 101st term is the shown below:

a_n=a_1+(n-1)d

Where:

a_1=997\\d=-8\\n=101

Substitute values into the formula. Therefore, you obtain:

a_n=997+(101-1)(-8)=197

4 0
3 years ago
Read 2 more answers
Order these numbers from least to greatest
pantera1 [17]

Answer:

8 5/6 -> 8.839 -> 177/20 -> 8.99

Step-by-step explanation:

8 5/6 = 8.333

8.839

177/20 = 8.85

8.99

8 0
2 years ago
A wooden plaque is in the shape of an ellipse with height 26 centimeters and width 16 centimeters. Find an equation for the elli
Hoochie [10]

Answer:

14.19

Step-by-step explanation:

8 0
3 years ago
5. What is the simplest way to write
inysia [295]

Answer:

2m+3r-2x-2y

Step-by-step explanation:

2m+3r=2m+3r

-2×x=-2x

-2×y=-2y

answer=2m+3r-2x-2y

6 0
3 years ago
Taka conducts an experiment where he rolls a number cube, with sides labeled from 1 to 6, and then flips a coin. This table show
sweet [91]
The experimental probability is 1/6, and the theoretical probability is 1/4. The theoretical probability is greater than the experimental probability in this trial.-------------------Explanation:
Theoretical probability is the mathematically calculated probability of the circumstances occurring. 
There is a 1/2 chance of rolling an even number, and a 1/2 chance of flipping a coin on heads.
Since the question asks for the possibility of both happening, multiply those together to find the probability:


The theoretical probability of rolling an even number and then flipping a head is 1/4.
Now we'll focus on Taka's trials.
Experimental probability is the probability that is taken from results of a trial.
Take the results, and see if they match the criteria of rolling an even number and flipping heads.
The results that are bolded fit the criteria:1 H, 4 T, 1 H, 5 T, 2 H, 3 T, 6 T, 2 H, 3 T, 5 T, 3 H, 4 T
Taka managed to roll and flip the coin to fit the criteria 2 times out of 12. Converted into a fraction, it is 2/12. Simplified, the experimental probability is 1/6
7 0
3 years ago
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