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kifflom [539]
3 years ago
9

given the vector v has an initial point (-2,-6) and a terminal point of (1,2) write vector v as a linear combination of the stan

dard unit vector i and j.
Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
7 0

Answer:

v=3i+8j

Step-by-step explanation:

The given the vector v has an initial point (-2,-6) and a terminal point of (1,2).

To find the components of vector v, we subtract the terminal points from the initial point to obtain.

v=<1,2>-<-2,-6>

v=<1--2,2--6>

v=<1+2,2+6>

v=<3,8>

As a linear combination of the standard unit vectors.

v=3i+8j

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The newly elected president needs to decide the remaining 7 spots available in the cabinet he/she is appointing. If there are 13
Alexxx [7]

Answer: 8648640 ways

Step-by-step explanation:

Number of positions = 7

Number of eligible candidates = 13

This can be done by solving the question using the combination Formula for selection in which we use the combination formula to choose 7 candidates amomg the possible 13.

The combination Formula is denoted as:

nCr = n! / (n-r)! * r!

Where n = total number of possible options.

r = number of options to be selected.

Hence, selecting 7 candidates from 13 becomes:

13C7 = 13! / (13-7)! * 7!

13C7 = 1716.

Considering the order they can come in, they can come in 7! Orders. We multiply this order by the earlier answer we calculated. This give: 1716 * 7! = 8648640

8 0
3 years ago
Choose the best decimal equivalent to represent 5/11
kolezko [41]

Answer:

To convert this fraction to a decimal, just divide the numerator (5) by the denominator (8): 5 ÷ 8 = 0.625. So,

5/8 = 0.625

Rounded values:

5/8 = 1 rounded to the nearest integer5/8 = 0.6 rounded to 1 decimal place5/8 = 0.63 rounded to 2 decimal places

Click to let others know, how helpful is it

Read more on Brainly.com - brainly.com/question/8678447#readmore

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
The equation below shows the total volume (V), in cubic units, of 2 identical boxes with each side equal to s units:
trasher [3.6K]
Start with the equation,

V = 2s^3

Now substitute s with 3.5 units and evaluate the expression.

V = 2 * (3.5 units)^3

V = 2 * 42.875 units^3

V = 85.75 units^3

Answer: The volume is 85.75 cubic units
3 0
3 years ago
Shelly ran 2 1/4 miles Lynne ran 3 1/8 Miles WhobRan Farther and by how much
ValentinkaMS [17]
Lynne ran farther and by 7/8 miles 

You can tell Lynne ran further because she ran 3 whole miles while shelly only ran 2 whole miles. Now you have to subtract to see how much Lynne had ran more.

You found a common denominator between 8 and 4. 4 can turn into 8. so you multiply 4x2 and 1x2 to get a mixed number of 2 2/8

Now you have to turn 3 1/8 because you cannot subtract 2/8 from 1/8. You can turn the fraction into 2 9/8 because there are 8 pieces in a whole.

2 9/8 - 2 2/8 = 0 7/8

Hope this helps! :)
6 0
3 years ago
If G(s) is the inverse of S(g) , and G(2) =16 then s(16) = 2 true or false?
lina2011 [118]
If f(x) is the inverse of g(x) then if f(a)=b then g(b)=a

so if G(s) is the inverse of S(g) then if G(2)=16 then S(16)=2, true

yes, it's true

A is answer
6 0
3 years ago
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