The expression equivalent to 4^-5 • 3^-5 is 12^-5
<h3>What are equivalent expressions?</h3>
Equivalent expressions are simply known as expressions with the same solution but different arrangement.
Given the index expressions;
4^-5 • 3^-5
Using the exponent rule, the two values are have different bases but the same exponent and thus, we multiply the bases and leave the exponents the same way.
This can be written as;
4(3) ^ -5
expand the bracket
12^-5
Thus, the expression equivalent to 4^-5 • 3^-5 is 12^-5
Learn more about equivalent expressions here:
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Answer:
$60
Step-by-step explanation:
To find how much Zoe paid before the sales tax and tip, we first need to consider the amount she paid in sales tax and tips.
Sales tax + Tips = $18.60
Let x = original price
Sales tax = 11% * original price
Sales tax = 0.11 * x
x= 0.11x
Tips = 20% * original price
Tips = 0.20 * x
x = 0.2x
Now that we have a value for both the sales tax and tips, we can then proceed to find the original price by:
0.11x + 0.2x = 18.60
0.31x = 18.60
Now we need to divide both sides by 0.31 to find x.
x = 60
Zoe's dinner before the sales tax and tips was $60.
9514 1404 393
Answer:
15/17
Step-by-step explanation:
cos(arctan(8/15)) = 15/17
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You could assume the ratio values 8 and 15 represent the opposite and adjacent sides of a right triangle. Then the hypotenuse is ...
h = √(8² +15²) = √289 = 17
The cosine is the ratio of the adjacent side to the hypotenuse, so is ...
cos(x) = 15/17
Answer:
Third option: 80 people.
Step-by-step explanation:
Let be "x" the number of people that were surveyed.
You know that 48 people chose winter as their favorite season and these amount of people are the 60% of those questioned.
Knowing this, you can calculate the number of people that were surveyed with this procedure:
Therefore, 80 people were surveyed. This matches with the third option.
Step-by-step explanation:
gradient(m)=change in y/change in x
=5-1/-9-(-4)
=4/-9+4
=4/-5
equation now
y-y1=m(x-x1)
y-1=4/-5[x-(-4)]
y=4/-5(x+4)+1
y=-4/5x-16/5+1
y=-4/5x-21/5
