Answer:
First rational exponent means that ;Rational exponents (also called fractional exponents) are expressions with exponents that are rational numbers (as opposed to integers ). While all the standard rules of exponents apply,
Step-by-step explanation:
We take here the root of 4 which means that it gives us the exactly same the answer is 2 which we again square on two it exactly gives us the answer 4 so the bas eis given as, = √4
= ±2
as squaring on it; = 2²
= 4
→ the base in 2² where 2 is the base and 2 of the power is called index.
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Answer:
Option A is correct
3.33 ft wide should the metal piece be.
Step-by-step explanation:
Area of rectangle(A) is given by:
.....[1]
l is the length and w is the width of the rectangle respectively.
As per the statement:
One more rectangular-shaped piece of metal siding needs to be cut to cover the exterior of a pole barn. The area of the piece is 30 ft²
⇒A = 30 ft²
It is also given that the length is 1 less than 3 times the width
⇒
ft
Substitute the given values in [1] we have;

Using distributive property: 
then;

We can write this as:

Factorize this equation:
Split the middle term we have;

⇒
⇒
By zero product property we have;
and w+3 = 0
Since, w cannot be negative;
so,
ft
Therefore, to the nearest hundredth of a foot, 3.33 ft wide should the metal piece be.
He should take $20 an hour because he will get $50 more than the 15% on all his sales
Answer: Required system
x+y= 30
0.25x+0.05y=5.10
Jude has 18 quarters and 12 nickels.
Step-by-step explanation:
Let x= Number of quarters
y= Number of nickels
As per given,
x+y= 30 (i)
0.25x+0.05y=5.10 (ii) [1 quarter = $0.25 , 1 nickel = $0.05]
Multiply 0.25 on both sides of equation (i)
0.25x+0.25y= 7.5 (iii)
Eliminate (ii) from (iii) , we get
0.20y=2.4
⇒ y = 12 [divide both sides by 0.20]
Put value of y in (i\), we get
x+12=30
⇒ x= 30-12= 18
Hence, Jude has 18 quarters and 12 nickels.
Answer:
i dont know for sure but I think it would be 0.07