4^-3 would be 1/64 since you flip the 4 over when you have a negative power and 4^5 would be 1024 (4 x 4 x 4 x 4 x 4) so your final answer would be 16
because you have to divide 1024 by 64
Answer:
a. The fuel efficiency (mpg) of an automobile is a continuous variable
b. The amount of rainfall at a particular location during the next year is a continuous variable
c. The distance that a person throws a baseball is a continuous variable
d. The number of questions asked during a 1-hr lecture is a discrete variable
e. The tension (in pounds per square inch) at which a tennis racket is strung is a continuous variable
f. The amount of water used by a household during a given month is a continuous variable
g. The number of traffic citations issued by the high- way patrol in a particular county on a given day is a discrete variable
Step-by-step explanation:
<em>Continuous </em>variables assign values in a range of infinitely many values, while <em>discrete</em> variables are countable.
<em>Continuous variables</em> in the above can assume real numbers and there are infinitely many real numbers between any two real numbers.
<em>Discrete variables </em>above can be counted in the given time interval.
These rates are not in proportion. Juan walked faster.
Explanation:
First, we want to make these ratios to have the same denominator so we can compare the numerators. To do this, do 3x5 and 8x5 to get 40:15. Then, we do 5x3 and 14x3 to get 42:15. Now we can just compare the numbers 40 and 42, and since 42 < 40, we know Juan walked faster.
L= 3w
Perimeter form = 2(l+w)
2(3w + w) = 112
6w + 2w = 112
8w = 112
w= 14
The greatest possible value for w is 14
Hope this helps!
Answer:
<h3>
</h3>
Step-by-step explanation:
<h3>to understand this</h3><h3>you need to know about:</h3>
- inequality
- solving inequality
- PEMDAS
<h3>given:</h3>
5 ≤ - 3x- 3 ≤ 10
<h3>to solve:</h3>
x
<h3>let's solve:</h3>
few notes about inequality
the direction of the inequality doesn't change if you
- Add (or subtract) a number from both sides
- Multiply (or divide) both sides by a positive number
- Simplify a side
the direction of the inequality does change
if you
- Multiply (or divide) both sides by a negative number
- Swapping left and right hand sides
