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goldfiish [28.3K]
3 years ago
11

If point G is rotated 90 degrees counter clockwise around the origin, what is the resulting point?

Mathematics
1 answer:
Alex787 [66]3 years ago
5 0

Answer: Point F

Step-by-step explanation:

the formula for rotation of 90 degrees counter-clockwise is (-y, x).

G=(-3,-2)

After 90 degrees counter-clockwise G is =(2,-3) which is equal to point F.

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Ludovica creates flashcards for her vocabulary words. She creates 3 more cards per verb than per noun. Ludovica creates 2 fewer
S_A_V [24]

Answer:

5 per noun, 8 per verb

Step-by-step explanation:

start by defining what each variable is

v = n+3

v = 2n-2

substitute v for one of the equations above

n+3 = 2n-2

subtract n from both sides

3 = n-2

add 2 to each side

5 = n

so there are 5 flashcards per noun

substitute 5 in for n in both equations

v = 5+3

and

v = 2(5)-2

solve both equations

v = 8 and v = 8

so there are 8 flashcards per verb

5 0
4 years ago
Which of the following is equal to the expression below ? (7^-5 ) 3
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6 0
3 years ago
Read 2 more answers
In a die game, you roll a standard 6-sided die twice. If the second number rolled is the same as the first number rolled, you wi
mario62 [17]

Answer:

You can expect to make $250.

Step-by-step explanation:

Possible outcomes:

For the pair of dice:

(1,1), (1,2), (1,3), (1,4), (1,5), (1,6)

(2,1), (2,2), (2,3), (2,4), (2,5), (2,6)

(3,1), (3,2), (3,3), (3,4), (3,5), (3,6)

(4,1), (4,2), (4,3), (4,4), (4,5), (4,6)

(5,1), (5,2), (5,3), (5,4), (5,5), (5,6)

(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)

So 36 total outcomes.

Probability of the second number rolled being the same as the first number rolled:

6 outcomes: (1,1), (2,2), (3,3), (4,4), (5,5), (6,6)

Out of 36, thus:

p = \frac{6}{36} = \frac{1}{6}

Expected value of 1 game:

1/6 probability of earning $25.

5/6 probability of losing $2.

Thus:

E = 25\frac{1}{6} - 2\frac{5}{6} = \frac{25 - 10}{6} = 2.5

100 games:

100*2.5 = 250

You can expect to make $250.

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3 years ago
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Answer:

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