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vladimir1956 [14]
3 years ago
8

Drag the tiles to the correct boxes to complete the pairs.

Mathematics
2 answers:
Len [333]3 years ago
5 0

<u>Answer:</u>

1. (-2^2)^{-6} ÷ (2^{-5})^{-4} \implies 2^{-32}

2. 2^4 . (2^2)^{-2} \implies 1

3. (-2^{-4}).(2^2)^0 \implies -2^8

4. (2^2).(2^3)^{-3} \implies 2^{-5}

<u>Step-by-step explanation:</u>

1. (-2^2)^{-6} ÷ (2^{-5})^{-4} :

= \frac{ ( - 2 ^ 2 ) ^ { - 6 } } { ( 2 ^ { - 5 } ) ^ { - 4 } } = \frac{2^{-12}}{2^{20}} = 2^{-12-20}=2^{-32}

2. 2 ^ 4 . ( 2 ^ 2 ) ^ { - 2 } :

= 2^4 \times \frac{1}{2^4} = 1

3. (-2^{-4}).(2^2)^0 :

= (-2^4)^2 \times 1 = -2^8

4. (2^2).(2^3)^{-3} :

= 2^4 \times \frac{1}{2^9} =\frac{1}{2^5} =2^{-5}

Vinil7 [7]3 years ago
5 0

Answer:

buttcheeck

Step-by-step explanation:

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I'd really appreciate it if anyone could help! :)
PSYCHO15rus [73]

C (third graph, the parabola); To find if it is a function or not draw a vertical line on the graph. If the vertical line could never intercept the figure more than once anywhere on the graph then it is a function.

3 0
3 years ago
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There is a boardwalk game at Point Pleasant where you are blindfolded to throw darts at a board full of balloons. Each time a da
arlik [135]

The given number of balloons, green = 10, purple = 4, red = 5, tie-dye = 2, black = 3, gives;

a. 5/138

b. 25/276

c. 5/1012

d. 35/46

<h3>How can the different probabilities be calculated mathematically?</h3>

Given parameters;

Number of balls;

Green = 10

Purple = 4

Red = 5

Tie-dye = 2

Black = 3

Mode of selection = Without replacement

Number of balloons = 10+4+5+2+3 = 24

a. Probability of popping a red balloon = 5/24

Probability of popping a second red balloon = 4/23

Therefore;

Probability of popping two reds consecutively = 5/24 × 4/23 = 5/138

b. Probability of popping a red balloon = 5/24

Probability of popping a green balloon next = 10/23

Therefore;

Probability of popping a red and then a green balloon = 5/24 × 10/23 = 25/276

c. Probability that the first balloon that pops is a red = 5/24

Next balloon is a black = 3/23

Third balloon is red = 4/22

The probability, <em>P</em>, is therefore;

  • P = 5/24 × 3/23 × 4/22 = 5/1012

d. The probability that the first balloon is a tie-dye = 2/24 = 1/12

Therefore;

Probability that the first balloon is not a tie-dye = 1 - 1/12 = 11/12

Probability that the second balloon is not a tie-dye = 21/23

Similarly;

Probability that the third balloon is not a tie-dye = 20/22 = 10/11

Which gives;

The probability, <em>P</em>, of popping anything but a tie-dye on three consecutive throws is therefore;

  • P = 11/12 × 21/23 × 10/11 = 35/46

Learn more about probability theory in mathematics?

brainly.com/question/13604758

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7 0
1 year ago
SOMEBODY HELP ME OUT !!
Naddika [18.5K]

Answer:

D

Step-by-step explanation:

Under a clockwise rotation about the origin of 90°

a point (x, y ) → (y, - x ) , thus

X(- 1, - 3 ) → X'(- 3, 1 )

Y(0, 0 ) → Y'(0, 0 )

Z(1, - 3 ) → Z'(- 3, - 1 )

6 0
3 years ago
How do I solve this?
Serhud [2]

Answer:

44.94

Step-by-step explanation:

Use trigonometric ratios to find the unknown side.

Since you are given the adjacent side and the opposite side is in question, use the tangent ratio.

tan(x) = opposite/adjacent

Replace the variables with given values.

tan(59) = x/27

Isolate the variable.

27tan(59) = x

Use a calculator to evaluate the answer.

x = 27tan(59) ≈ 44.94

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8 0
3 years ago
What percent of 200 miles is 150 miles
Bumek [7]

           150 / 200  =  0.75

                   0.75  =  75%

150 of anything is  75%  of  200  of the same thing.
3 0
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