Express the following in exponential notation:
(-13) X (-13).
35 times
Answers
Answer:
Step-by-step explanation:
Given
Required
Express as an exponential notation
Apply the following law of indices
This gives:
The second complete is incomplete; However, I'll assume it is: 35 times 35
Using the same law applied in (1) above:
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A gumball machine has 300 red gumballs. If the red gumballs are 75% of the total number of gumballs, how many gumballs are in the gumball machine? 225 275375400 BRAINLIST,EXTRA POINTS, 5 STARS, AND HEART
Please help the first people were wrong!!!
Answers
Answer:
19.06
Step-by-step explanation:
Take her wage and multiply by the percent increase
18*.06 =1.08
Add this to her original wage
18+1.06
19.06 is the new wage
Answers
To find the average of something you add up all of the data points (in this case it would be how many pounds offish were eaten per day but this is already done for us) then you would divide by the number of points you have (the number of days which is 31). So all you have to do is 2604/31. This equals 84 pounds of fish per day on average.
the dolphin ate
2604 lbs of fish in 31 days
this can also be written as
2604/31
we want the denominator to be 1, since the denominator represents days
to do this, we can divide 31 by 31. but we must do the same to the numerator
2604 ÷ 31 = 84
so our new fraction is
84/1
so per day, the dolphin ate 84 pounds of fish
Answers
Answers
Answer: x = 21
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Explanation:
The exponent rules are
- a^b * a^c = a^(b+c) .... lets call this rule 1
- (a^b)/(a^c) = a^(b-c) .... lets call this rule 2
- (a^b)^c = a^(b*c) ......... lets call this rule 3
The expression on the right hand side simplifies to c^(-1). We add the exponents to get this. So we're using rule 1 mentioned above.
We'll keep this in mind for later.
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On the left hand side (c^5)^4 becomes c^(20) because we multiply the exponents (rule 3)
Then (c^20)/(c^x) becomes c^(20-x). We subtract exponents here (rule 2).
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After using those exponent rules, the original equation turns into
c^(20-x) = c^(-1)
The bases are both c, so the exponents must be equal
20-x = -1
-x = -1-20
-x = -21
x = 21
Answers
Answer:
Step-by-step explanation:
(0 - 12)/(-2 - 2)= -12/-4= 3
y - 0 = 3(x + 2)
y = 3x + 6
Answers
Answer: 20 hours
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Explanation:
We have two workers, more or less. Worker A gets the job done in 5 hours. Worker B comes along to help. If A and B work together, they get the job done in 4 hours. This assumes neither worker hinders the other.
Worker A's rate is 1/5 of a job per hour. In other words, after 1 hour, 1/5 of the job is done.
The combined rate is 1/4 for similar reasoning
Worker B's rate is 1/x where x represents how long it takes worker B to get the job done on its own.
The equation to solve is
1/5 + 1/x = 1/4
Note how 1/5 and 1/x represents the sum of the individual rates to get the combined rate 1/4
To solve this equation, it helps to clear out the fractions. Multiply every term by the LCD 20x
20x(1/5 + 1/x) = 20x(1/4)
20x(1/5) + 20x(1/x) = 20x(1/4)
4x + 20 = 5x
From here you can probably see solving this is relatively easy
4x+20 = 5x
20 = 5x-4x
20 = x
x = 20
Therefore, it will take 20 hours for worker B to get the job done on its own.
Going back to the processing context, it takes 20 hours for the new processor to download the movie. This is where the new processor is working alone without help from the original processor.
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Side note: downloading a movie really depends on internet speed rather than processor speed.