Answer:
A. 
B. 42.2 million
Step-by-step explanation:
Part A:
Given:
Newspapers circulated in year 2004, 
Newspapers circulated in year 2014, 
Let the time 
start at the year 2004. So, 
For the year 2014, 
Therefore, linear relationship between newspapers circulated and time passed since 2004 is given as:
Therefore, the equation describing the relationship is:
Part B:
For the year 2018, 
Plug in 14 for in the above equation and solve for 
. This gives,
Therefore, in the year 2018, the newspaper circulation will be 42.2 million.
Answer:
Step-by-step explanation:
For this equation: a=3, b=4, c=2
3x2+4x+2=0
Step 1: Use quadratic formula with a=3, b=4, c=2.
x= −b±√b2−4ac / 2a
x= −(4)±√(4)2−4(3)(2) / 2(3)
x= −4±√−8 / 6
Answer:
No real solutions.
Answer:
Step-by-step explanation:
Just integrate r(t) with respect to t
Integrate r(t) dt = 400t -(4t^2)/2 + C
= 400t -4t^2 + C
where C is a constant
then replace the above answer with 30 and 0, then do subtraction for both answers
hence the amount of water flows during first 30 mins is
= {400*30 - 4*(30)^2 + C} - {400*0 - 4*(0)^2 + C}
= 12000 - 3600
= 8400 liters
Let the short side be x.
2x+(x+12)+(3x-9)=117
6x-3=117
6x=120
x=120/6=20
Each of the short sides is 20, the third side is 32, and the last side is 51. Hope this helped!
<h2><u>Question</u> :</h2>
If a⁵ = 3⁵, simplify (2a)⁷ ?
- 3⁷
- 3⁸
- 6⁶
- 6⁷
<h2><u>Answer</u> :</h2>
- D option 6⁷ is the right answer.
<h2><u>Explanation</u> :</h2>
<h3>Given :</h3>
<h3>To Find :</h3>
<h3>Solution :</h3>
As, we have a⁵ = 3⁵
We know that if powers are equal then the base are also equal. In a⁵ = 3⁵, powers are equal on both sides so base will also be equal.
∴ a = 3
Now, we have to find (2a)⁷, so by substituting a = 3, we have :
⟹ (2a)⁷ = (2 × 3)⁷
⟹ (2a)⁷ = (6)⁷
⟹ (2a)⁷ = 6⁷
Therefore, correct answer is 6⁷.
Hence, correct option is D.
