The answer is 1/2. The reasoning is 1/2 x 1/2=1/4 1/4 x 1/2=1/8 fractions multiply on numerator and denominator then simplify
Answer:
Step-by-step explanation:
<u>The new dimensions will be:</u>
The area is 540
<u>Using area equation we get:</u>
- (10 + x)(22 + x) = 540
- x² + 32x + 220 = 540
- x² + 32x = 320
- x² + 2x*16 + 256 = 320 + 256
- (x + 16)² = 576
- x + 16 = √576 (Ignoring the negative root as the length is never negative)
- x + 16 = 24
- x = 8
<u>The new dimensions are:</u>
- 10 + 8 = 18 ft and
- 22 + 8 = 30 ft
Answer:
Yes, the relationship can be described by a constant rate of $18.75 per dog
Step-by-step explanation:
see the attached figure to better understand the problem
Let
x ----> the number of dogs
y ---> the amount of money earned
we have the points

step 1
Find the slope with the first and second point


step 2
Find the slope with the first and third point


Compare the slopes
The slopes are the same
That means, that the three points lies on the same line
therefore
Yes, the relationship can be described by a constant rate of $18.75 per dog
Answer:
The number of 32 Gigabit keys that can be fitted on the hard drive is 375.
Step-by-step explanation:
The question is:
If my hard drive has a capacity of 1.5 Terabytes, how many 32 Gigabit keys can fit on that hard drive?
Solution:
1 Terabyte = 8000 Gigabits
Then 1.5 Terabytes in Gigabits is:
1.5 Terabytes = (8000 × 1.5) Gigabits
= 12000 Gigabits
One key is of 32 Gigabits.
Compute the number of 32 Gigabit keys that can be fitted on the hard drive as follows:

Thus, the number of 32 Gigabit keys that can be fitted on the hard drive is 375.
Answer:
option C

Step-by-step explanation:
we have

using a graphing tool
see the attached figure N
The range is the interval--------> (-∞,8]

case A) 
using a graphing tool
The range is the interval--------> [-8,∞)

case B) 
using a graphing tool
The range is the interval--------> [8,∞)

case C) 
using a graphing tool
The range is the interval--------> (-∞,8]

case D) 
using a graphing tool
The range is the interval--------> (-∞,-8]
