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Zepler [3.9K]
3 years ago
10

Find the value of 2^-3*3^-2

Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
6 0

2^{-3}\cdot 3^{-2}

2^-3=\frac{1}{2^3}

3^-2=\frac{1}{3^2}

\frac{1}{2^3}*\frac{1}{3^2}

\frac{1*1}{2^3*3^2}

2^3*3^2=72

=\frac{1}{72}

Hope this helps!

Thanks!

-Charlie


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Answer:

B 10% off sale, with a total price to pay of 756

Step-by-step explanation:

Retail price (Rp) = $800

Taxes (T) = 5%

  • Offer A $75 instant rebate

Total price A (TA) = Rp - 75 + (Rp - 75) 5%

TA = 800 - 75 + (800-75) 5%

TA = 725 + 725 5%

725 5% = 725*5/100 = 36.25

TA= 725+36.25 = $761.25

  • Offer B 10% off sale

Total price B (TB) = RP - RP 10% + (RP - RP 10%) 5%

TB = 800 - 800 10% + (800 - 800 10%) 5%

800 10% = 800*10/100 = 80

TB = 800 - 80 + (800 - 80) 5%

TB = 720 + 720 5%

720 5% = 720*5/100 = 36

TB = 720 + 36 = $756

  • Offer C 5% off sale plus store pays sales tax

store pays sales tax means Walden's family will not need pay for taxes

Total price C (TC) = RP - RP 5%

TC = 800 - 800 5%

800 5% = 800*5/100 = 40

TC = 800 - 40 = $760

  • Offer D a “no tax” sale—the store pays the tax

Means that Walden's family will need pay just the retail price

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There is a set of 12 cards numbered 1 to 12. A card is chosen at random. Event A is choosing a number less
kaheart [24]

The number of permutations of picking 4 pens from the box is 30.

There are six different unique colored pens in a box.

We have to select four pens from the different unique colored pens.

We have to find in how many different orders the four pens can be selected.

<h3>What is a permutation?</h3>

A permutation is the number of different arrangements of a set of items in a particular definite order.

The formula used for permutation of n items for r selection is:

    ^nP_r = \frac{n!}{r!}

Where n! = n(n-1)(n-2)(n-3)..........1 and r! = r(r-1)(r-2)(r-3)........1

We have,

Number of colored pens = 6

n = 6.

Number of pens to be selected = 4

r = 4

Applying the permutation formula.

We get,

= ^6P_4

= 6! / 4!

=(6x5x4x3x2x1 ) / ( 4x3x2x1)

= 6x5

=30

Thus the number of permutations of picking  4 pens from a total of 6 unique colored pens in the box is 30.

Learn more about permutation here:

brainly.com/question/14767366

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How big is a piece of A4 paper?​
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Answer:

210 x 297 mm

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Colton was given a box of assorted chocolates for his birthday. Each night, Colton treated himself to some chocolates. There wer
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wait, im confused lol

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Ostrovityanka [42]

Answer:

11 units

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To calculate CD use the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

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CD = \sqrt{(-4+4)^2+(-5-6)^2}

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     = \sqrt{0+121} = \sqrt{121} = 11

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