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3 years ago

Missy’s rotation maps point K(17, –12) to K’(12, 17). Which describes the rotation?

1 answer:

4 0

Point K is in the 4th quadrant, then it goes into the first quadrant. So this means the rotation could be 90 degrees counterclockwise or 270 degrees clockwise.

The answer is 90 degrees counterclockwise or 270 degrees clockwise.

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22. A question bank has questions of Physics and

trasher [3.6K]

Step-by-step explanation:

Let the number of books of Physics be x . Then , No. of chemistry books =3.5x

Now , according to question :

x+3.5x=90

Or , 4.5x=90

Or , x=90/4.5

Or , x=20

Now ,

3.5x= 3.5×20

= 70

Therefore , there were 70 chemistry books and 20 physics books in that question bank.

7 0

3 years ago

Population Growth Using 20th-century U.S. census data,

asambeis [7]

The population of Ohio will be 10 million in the year 1970

The population growth of Ohio is represented by the function:

$P(t)=\frac{12.79}{1+2.402e^{-}0.0309t}$

P is the population in millions

t is the number of years since 1900

To find the year that the population of Ohio will be 10 million, substitute P = 10 into the function P(t) and solve for t

$10=\frac{12.79}{1+2.402e^{-}0.0309t}\\\\10(1+2.402e^{-}0.0309t)=12.79\\\\1+2.402e^{-}0.0309t=\frac{12.79}{10} \\\\1+2.402e^{-}0.0309t=1.279\\\\2.402e^{-}0.0309t=1.279-1\\\\2.402e^{-}0.0309t = 0.279\\\\e^{-}0.0309t =\frac{0.279}{2.402} \\\\e^{-}0.0309t =0.116\\\\-0.0309t=ln0.116\\\\-0.0309t=-2.154\\\\t=\frac{-2.154}{-0.0309} \\\\t=69.7$

t = 70 years (to the nearest whole number)

70 years after 1900 will be 1970

Therefore, the population of Ohio will be 10 million in the year 1970

Learn more here: brainly.com/question/25504185

5 0

3 years ago

How many eight notes is equal to a halfnote

Dominik [7]

Answer: Four eighth notes

Sixteenth Notes

Step-by-step explanation: Two quarter notes equal one half note in duration and four quarter notes equal one whole note. Two eighth notes equal one quater note in duration. Four eighth notes equal one half note in duration and eight eighth notes equal one whole note.

6 0

3 years ago

Read 2 more answers

A roulette wheel has 38 slots total, 36 of which are numbered 1 through 36, and 2 green slots labeled "0" and "00." For any spin

Morgarella [4.7K]

Answer:

Probability (Roulette ball not landing on red) = 10 / 19

Step-by-step explanation:

Given:

Number of total slots = 38

Number of red slots = 18

Number of black slots = 18

Number of green slots = 2

Find:

Probability (Roulette ball not landing on red)

Computation:

Probability (Roulette ball not landing on red) = 1 - Probability (Roulette ball landing on red)

Probability (Roulette ball not landing on red) = 1 - (18 / 38)

Probability (Roulette ball not landing on red) = 20 / 38

Probability (Roulette ball not landing on red) = 10 / 19

7 0

3 years ago

Gradient of a straight line that is perpendicular to y = 4x + 2

lana66690 [7]

If a line's slope is $\frac{a}{b}$ , the slope of the perpendicular line is $-\frac{b}{a}$
in this case, the given line has a slope 4, which is 4/1, so the perpendicular line has a slope/gradient $-\frac{1}{4}$

5 0

4 years ago