In the given question, there are several important information's that needs to be noticed. based on these information's the correct answer to the question can be easily deduced. It is already known that the contestants rest for the same amount of time every hour. In 6 hours they rest for 27 minutes. The 6 hours has to be converted to minutes first.
Then 6 hours = (6 * 60) minutes
= 360 minutes
So we have to first determine the amount of rest each contestants take in 1 hour.
Then
In 360 minutes the couple rests for a total time = 27 minutes
In 60 minutes the couple will rest for = (27/360) * 60
= 4.5 minutes
So the couple rests for 4.5 minutes in 1 hour
Then
In 8 hours the couple will rest for = (8 * 4.5) minutes
= 36 minutes.
The couple will rest for 36 minutes in 8 hours.
Answer:
p = - 5
Step-by-step explanation:
The vertex of the function is (0.5, 30.25 )
Since the roots are (6, 0) and (p, 0) then the axis of symmetry is vertical
with equation x = 0.5
The axis of symmetry passes through the midpoint of the roots, thus
= 0.5 ( multiply both sides by 2 )
6 + p = 1 ( subtract 6 from both sides )
p = - 5
Answer:
Step-by-step explanation:
<u> m∠SQT is substituted by 180° at step 5</u>
- 4 m∠SQV + m∠VQT = m∠SQT Angle Addition Postulate
- 5 m∠SQV + m∠VQT = 180° Substitution Property of Equality
- 6 m∠VQT + m∠ZRS = 180° Same-Side Interior Angles Theorem
Answer:
204
Step-by-step explanation:
Following the order of operations, what is within the parenthesis is solved first.
<em>65 x 3 = 195</em>
Then, you add 9 to 195.
<em>195 + 9 = 204</em>
<em>204</em> is the final answer.
Have a nice day! ^-^
4y⁴ - 8y³ - (5y³ + 6y + 3y⁴)
= 4y⁴ - 8y³ - 5y³ - 6y - 3y⁴
= (4y⁴ - 3y⁴) + (- 8y³ - 5y³) - 6y
= y⁴ - 13y³ - 6y
Answer: y⁴ - 13y³ - 6y
