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2 years ago

Topic: Probability Only complete question 9.

Mathematics

1 answer:

d1i1m1o1n [39]2 years ago

4 0

Answer:

see below

Step-by-step explanation:

a. H 1, H2 ,H3 T1 ,T2, H3

b 6 possible outcomes

c 2 outcomes for the coin ( h,T) 3 outcomes for the spinner

2*3 = 6

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2 years ago

Which expression is equivalent to (81x4y16)12 for all positive values of x and y?<br> 40.5x4y16

IrinaVladis [17]

Answer:

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Step-by-step explanation:

Given

$(81x^4y^{16})^{\frac{1}{2}}$

Required

Determine an equivalent expression

Express 81 as $9^2$

$(9^2x^4y^{16})^{\frac{1}{2}}$

Apply law of indices

$9^2^{\frac{1}{2}} * x^4^{\frac{1}{2}} * y^{16}^{\frac{1}{2}}$

$9^{\frac{2*1}{2}} * x^{\frac{4*1}{2}} * y^{\frac{16*1}{2}}$

$9^{\frac{2}{2}} * x^{\frac{4}{2}} * y^{\frac{16}{2}}$

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$9 x^2 y^8$

Hence:

$(81x^4y^{16})^{\frac{1}{2}} = 9 x^2 y^8$

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2 years ago