Answer:
(3x - 4)(8x - 3)
Step-by-step explanation:
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 24 × 12 and sum = - 41
The required factors are - 32 and - 9
Use these factors to split the x- term
24x² - 32x - 9x + 12 ( factor the first/second and third/fourth terms )
= 8x(3x - 4) - 3(3x - 4) ← factor out (3x - 4) from each term
= (3x - 4)(8x - 3) ← in factored form
For this case we have the following equation:
sin (40o) = b / 20
Clearing b we have:
20 * sin (40o) = b
Therefore, the length of the AC segment is given by:
b = 12.9
Answer:
the length of AC is:
b = 12.9
Answer:
V = 4*8
V= 32
(x+x) * (x+x) = 2x * 2x = 4x^2
Cost of basic car = $8250
Optional cost = $324
Total cost of basic car and optional items for John= (8250 + 324) dollars
= 8574 dollars
Then
Percentage of sales tax = 6%
Amount of sales tax = 8574 * (6/100) dollars
= 514.44 dollars
License and registration fee combined = $50
Then total cost of John in regards to buying the car = 8574 + 514.44 + 50
= 9138.44 dollars
<span>$9,138.44</span> is the correct option in regards to the question given.
Answer:
Number of bacteria after 36 hour (A) = 381 (Approx)
Step-by-step explanation:
Given:
Number of bacteria (p) = 2,000
Total time (n) = 36 hours
Decay rate = 4.5 % = 0.045 per hour
Find:
Number of bacteria after 36 hour (A)
Computation:

Number of bacteria after 36 hour (A) = 2,000[1-0.045]³⁶
Number of bacteria after 36 hour (A) = 2,000[0.955]³⁶
Number of bacteria after 36 hour (A) = 2,000[0.190599333]
Number of bacteria after 36 hour (A) = 381.19866
Number of bacteria after 36 hour (A) = 381 (Approx)