Hello from MrBillDoesMath!
Answer: 6 * p^(3/2) * q^4
Discussion:
We are evaluating
sqrt { 36 * p^3 q^8 }
where "sqrt" indicates the square root and the ^ (as in q^8) means "raised to the power of:
The square root of the product is the product of the square roots. (Say that 5 time out loud quickly!). So the above equation becomes
sqrt { 36 * p^3 q^8 } =
sqrt( 36) * sqrt( p^3) * sqrt (q^8)
The square root of 36 is 6 as 6* 6 = 36 so the equation equals
6 * p ^ (3/2) * q^ (8/2)
Note that the square root of a number, for example, r, is the same as raising the number to the (1/2) power. That's where the (1/2) terms came from above.
But 8/2 = 4 so the equation simplifies to
6 * p^(3/2) * q^4
Thank you,
MrB
He will receive $30,641.85 = $30,176 + $465.85 (tax excess payment)
Since his filing status is single, he'll be taxed based on the single tax rate schedule. <span>10% for <span>$1 to $9,325. </span></span><span>15% for <span>$9,326 to $37,950.
9,325 x 10% = 932.50
30,176 - 9325 = 20,851 x 15% = 3,127.65
His total tax is 3,127.65 + 932.50 = 4,060.15; Since he paid 4,526 in federal taxes, 4,526 - 4,060.15 = 465.85 will be reimbursed.
Add his taxable income and the reimbursement to get the total amount he will receive for that year.
$30,176 + $465.85 = $30,641.85</span></span>
An architect plans to make a drawing of the room of a house. The segment LM represents the ceiling of the room. He wants to construct a line passing through Q and perpendicular to side LM to represent a wall of the room. He uses a straightedge and compass to complete some steps of the construction, as shown below:
The answer should be isosceles
Answer:
the answer is B
Step-by-step explanation:
Your welcome.
