Two years ago, Sally had 5,000 dogs in her dog shelter. Now she has 24,575 dogs. The rate of change is 391.5 % increase
<em><u>Solution:</u></em>
Given that Two years ago, Sally had 5,000 dogs in her dog shelter
Now she has 24,575 dogs
To find: rate of change
A rate of change is a rate that describes how one quantity changes in relation to another quantity
<h3><u>Steps to follow:</u></h3>
- First: work out the difference (increase) between the two numbers you are comparing.
- Increase = New Number - Original Number.
- Then: divide the increase by the original number and multiply the answer by 100.
- % change = Increase ÷ Original Number x 100
Thus the rate of change is 391.5 % increase
Answer:
B)
B)
D)
Step-by-step explanation:
1. 
The GCF of all the term of the above polynomial is 
, hence we take it outside and form a bracket
The polynomial within the bracket can not be factorized further hence this is our final answer. Option (B) is the right answer
2. 
The GCF of all the term of the above polynomial is 
, hence we take it outside and form a bracket
The polynomial within the bracket can not be factorized further hence this is our final answer. Option (B) is the right answer
3. 
The GCF of all the term of the above polynomial is 
, hence we take it outside and form a bracket
The polynomial within the bracket can not be factorized further hence this is our final answer. Option (D) is the right answer
Answer: 2908.92435 inches.
Step-by-step explanation for shape 1: A = 2(wl + hl + hw) = 2 · (30 · 13 + 13 · 13 + 13 · 30) = 1,898 inches.
Step-by-step explanation for shape 2:
Using the formulas:
A=2AB+(a+b+c)h
AB=s(s﹣a)(s﹣b)(s﹣c)
s=a+b+c
2
Solving for A:
A=ah+bh+ch+1
2﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=9·30+13·30+9·30+1
2·﹣94+2·(9·13)2+2·(9·9)2﹣134+2·(13·9)2﹣94≈1010.92435
Step-by-step explanation for total volume: 2908.92435 inches.
Answer: B and C
Step-by-step explanation: For A, vertical angles can be complimentary or supplementary. For D, vertical angles can sometimes be acute but not always.
Answer:
53.2 gallons
Step-by-step explanation:
let 't' = tank
t + t + t/2 = 266
5/2t = 266
multiply each side by 2/5 to get:
t = 106.4
the two larger tanks can each hold 106.4 gallons
the smaller tank can hold 53.2 gallons
