Given the equation 4(3b + 2)² = 64,
dividing both sides of the equation by 4, we have
(3b + 2)² = 16 and getting the square root of both sides,
(3b + 2) = 4 and (3b + 2) = -4
We can solve for b for each equation and have
3b = 2 | 3b = -6
b = 2/3 | b = -2
Therefore, the values of b are 2/3 and -2 and from the choices, the answer is <span>A: b = 2/3 and b = -2.</span>
The angle whose sine is 0.39581 is 23.32 degrees. This is calculated by obtaining the arcsine of the value given above. The sine function is one of the basic functions in trigonometry together with cosine, tangent, cosecant,secant and cotangent.
The summation indicates the sum from n = 1 to n = 3 of the expression 2(n+5).
2 (n+5) = 2n + 10
2n + 10 denotes an Arithmetic Series, with a common difference of two and first term as 12.
For n =1, it equals 12
For n = 2, it equals 14
For n = 3, it equals 16
So the sum from n=1 to n=3 will be 12 + 14 + 16 = 42
Sum of an Arithmetic Series can also be written as:

Using the value of a₁ and d, we can simplify the expression as:

This expression is equivalent to the given expression and will yield the same result.
For n=3, we get the sum as:
S₃ = 3(11+3) = 42
Answer:
It will take 12 weeks to pay for the DVD players.
Step-by-step explanation:
Given in the question that,
total cost of DVD bought by Adela = $210
Step 1
Adela makes a down payment of $30
$210 - $30 = $180
Remaining cost = $180
Step 2
Adela pays $15 each week
$15 = 1 week
$180 = ?
$1 = 1 week/15
$180 = 180/15 week
= 12 weeks
Answer:
12 feet
Step-by-step explanation: