Which expression is equivalent to a^-x A. a^1/x B. -a^x C. 1/a^x D. -1/a^x
1 answer:
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Start by stating the given info as mathematical expressions:
1. "<span>The width of a rectangle is 6 cm less than its length."
2. "I</span><span>ts perimeter is 80 cm."
Using the formula for perimeter (
) we can show:
.
We now have 2 equations in 2 unknowns and can solve by substitution:
</span>
The length is 23cm.
Having the length w can then find the width:
The width is 17cm.
And finally the area:
The area is
.
As a check we can use the known perimeter:
Checks true.
1. "<span>The width of a rectangle is 6 cm less than its length."
2. "I</span><span>ts perimeter is 80 cm."
Using the formula for perimeter (
We now have 2 equations in 2 unknowns and can solve by substitution:
</span>
The length is 23cm.
Having the length w can then find the width:
The width is 17cm.
And finally the area:
The area is
As a check we can use the known perimeter:
Answer: probability of getting two 5s =0.04
probability of getting at least one 5 =0.36
probability of getting a total score greater than 5 =0.6
Step-by-step explanation:
Total outcomes on 1 spinner = 5
Then , total outcomes of spinning it 2 times=
Number of outcomes for getting two 5's = 1
Then, the probability of getting two 5s
Number of outcomes for getting at least one 5 [ {(1,5),(2,5),(3,5),(4,5),(5,5), (5,1), (5,2), (5,3), (5,4)} ] =9
Then, the probability of getting at least one 5
Number of outcomes for getting a total score of 5, [ {(1,4),(4,1),(2,3),(3,2)} ] =4
Then, the probability of getting a total score of 5,
Number of outcomes for getting a total score greater than 5 [ {(1,5),(5,1),(2,4),(4,2),(2,5), (5,2), (3,4),(4,3), (3,5), (5,3), (3,3), (4,5), (5,4), (4,4), (5,5)} ] =15
Then, the probability of getting a total score greater than 5,