Answer
11.5 ft
Step-by-step explanation:
Perimeter of rectangle:2(l+w)
l :1/4 ft w:11/2 ft
2(1/4+11/2)=11.5
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Answer:
x ∈ (-∞, 9) U (-1, ∞)
Step-by-step explanation:
Get the absolute value by itself. Do that by multiplying by 4.
|3x +15| > 12
This resolves to two cases:
<u>3x +15 > 12</u>
x +5 > 4 . . . . divide by 3
x > -1 . . . . . . .subtract 5
<u>-(3x +15) > 12</u>
x +5 < -4 . . . . divide by -3
x < -9 . . . . . . . subtract 5
Then the solution in interval notation is ...
x ∈ (-∞, 9) U (-1, ∞)
Answer:
Option 3
The rate of change is -5%
Step-by-step explanation:
Given : An exponential function for compounding interest, 
To find : What is the rate of change?
Solution :
The general form of an exponential function is:

Where, a is the initial amount,
(1+r) is the rate of change,
r is the growth or decay factor
We have given, 
Rate of change is



Convert to percent,

Therefore, Option 3 is correct.
a. She used 1/10 of the spinach for a salad.b. She used 1/2 pound of spinach for the salad.
We can solve each part of this problem by using a "fraction strip". The strip helps show a breakdown of what portion of spinach was used for each the party, family, and salad. See the attached image for a step by step example of how to multiply the fractions to find the correct portions.
The value of x from the given equation is 5/3
<h3>How to determine the value</h3>
Since the three points are collinear to U, they are on a straight line which equals 0
Then we have,
UM + UD = MD
5x+30 + 10x+20 = 3x+80
Collect like terms
5x + 10x + 50 = 3x + 80
15x - 3x = 80 - 50
12x = 30
x = 30/12 = 15/6 = 5/3
Thus, the value of x from the given equation is 5/3
Learn more about collinear points here:
brainly.com/question/18559402
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