What is the product of 2.5 × 10−15 and 3.9 × 1026? 6.4 × 101 9.75 × 1011 6.4 × 1041 9.75 × 1041

Mathematics

2 answers:

Brilliant_brown [7]3 years ago

7 0

Answer:

9.75 × 1041

Step-by-step explanation:

Doss [256]3 years ago

5 0

$(2.5*10^{-15})(3.9*10^{26})$ . We begin by multiplying the "regular" numbers first. 2.5 × 3.9 = 9.75. That's good; it's already in the proper format for scientific notation. Now we multiply the bases of 10 with their exponents. Since the bases are both 10, they are like. When we multiply like bases, we add their exponents. $10^{-15+26}=10^{11}$ . Our answer then is $9.75*10^{11}$ . There you go!

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A lock has a three number code made up of 17 numbers if none of the numbers are allowed to repeat how many different ways can yo

Marrrta [24]

Answer:

680

Step-by-step explanation:

Use the binomial coefficient where you choose $k=3$ numbers out of $n=17$ possible numbers and find the total amount of combinations since order does not matter:

$\displaystyle \binom{n}{k}=\frac{n!}{k!(n-k)!}\\ \\\binom{17}{3}=\frac{17!}{3!(17-3)!}\\\\\binom{17}{3}=\frac{17!}{3!(14)!}\\\\\binom{17}{3}=\frac{17*16*15}{3*2*1}\\\\\binom{17}{3}=680$