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dimulka [17.4K]
3 years ago
9

Simplify the expression please help

Mathematics
1 answer:
Mila [183]3 years ago
3 0
Simplify the following:

((-1^3)/(-3)^(-3))^2

1^3 = 1:
((-1)/(-3)^(-3))^2

(-3)^(-3) = 1/(-1)^3×1/3^3 = (-1)/3^3:
((-1)/((-1)/3^3))^2

3^3 = 3×3^2:
((-1)/(-1/(3×3^2)))^2

3^2 = 9:
((-1)/((-1)/(3×9)))^2

3×9 = 27:
((-1)/((-1)/27))^2

Multiply the numerator of (-1)/((-1)/27) by the reciprocal of the denominator. (-1)/((-1)/27) = (-27)/(-1):
((-27)/(-1))^2

(-27)/(-1) = (-1)/(-1)×27 = 27:
27^2

 | 2 | 7
× | 2 | 7
1 | 8 | 9
5 | 4 | 0
7 | 2 | 9:
Answer:  729 = 1/729 thus c: is your Answer
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A rugby team played six games.
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Step-by-step explanation:

mean score means the sum of all 6 scores divided by the number of games : 6.

sum6/6 = 15

sum6 = 15×6 = 90

(sum6 + x)/7 = 16

sum6 + x = 16×7 = 112

90 + x = 112

x = 22

they scored 22 points in the 7th game.

3 0
2 years ago
I need help please.
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3 years ago
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Victoria and her friends are going to the skateboard shop to pickup some equipment. They buy two new skateboards for $87.98 each
nika2105 [10]

Answer:

$304.63

Step-by-step explanation:

From the information provided, the total cost can be calculated by multiplying the price of each item for the amount purchased and adding up the results:

Total cost=($87.98*2)+($14.57*3)+($21.24*4)

Total cost=$175.96+$43.71+$84.96

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According to this, the answer is that their total cost is $304.63.

3 0
2 years ago
How do I complete this question on arc length?
tresset_1 [31]

Answer:

v ≈ 8.5 km/h

Step-by-step explanation:

Since the diameter of the wheel is 3 m the radius will be r = 1.5 m.

Use the radius of the water wheel to find it's circumference C:

C=2\pi r                                               [set r = 1.5 m]

⇒ C=2\pi (1.5)

⇒ C=3\pi m

One revolution of the water wheel corresponds to 3\pi meters so the angular velocity 15 rmp (revolutions per minute) corresponds to:

15(3\pi ) = 45\pi m/min

Using this result, the speed of the river in kilometers per hour will be:

v=\frac{45\pi m }{1 min} ×  \frac{1 km}{1000 m} × \frac{60 min}{1 h}

⇒ v=8.48230016469  km/h

⇒ v ≈ 8.5 km/h

5 0
2 years ago
Read 2 more answers
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