<span>answer 1
Nancie is typing is represented by the equation
y = 35x
Therefore, the rate at which Nancie is typing is given by the slope of the straight line that in this case is:
35 words per minute
answer 2
To find the rate at which Suresh is typing we have to find the equation of the line with the data in the table.
For this case, the equation of the line will be given by:
y = 56x
Therefore, the rate at which Suresh is typing is given by the slope of the straight line which in this case is:
56 words per minute
answer 3
Nancie's rate = 35
Suresh's rate = 56
56-35 = 21 words per minute
Nancie's rate is 21words per minute less than Suresh's rate.
</span>
Answer:
true
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
2cos^2(4x) - 1 = cos(8x)
cos(8 *pi/12) = cos(2pi/3) = cos(pi - pi/3) = - cos(pi/3)= 1/2, which is not 0
cos(8x) = 0
==> 8x = 0 or pi
==> x = 0 or pi/8
----------------------------------------
Convert hours to minutes
----------------------------------------
1 hour 55 mins = 60 + 55 = 115 mins
1 hour 50 mins = 60 + 50 = 110 mins
_____________________________________________________
----------------------------------------
Speed = 36/h
----------------------------------------
1 hour = 36 km
----------------------------------------
Rewrite 1 hour as 60 mins
----------------------------------------
60 mins = 36 km
----------------------------------------
Find 1 min
----------------------------------------
1 min = 36 ÷ 60
1 min = 0.6 km
----------------------------------------
Find 115 mins
----------------------------------------
1 min = 0.6 km
115 min = 0.6 x 115
115 min = 69km
_____________________________________________________
----------------------------------------
Speed = 72km/h
----------------------------------------
1 hour = 72 km
----------------------------------------
Write 1 hour as 60 mins
----------------------------------------
60 mins = 72 km
----------------------------------------
Find 1 min
----------------------------------------
1 min = 72 ÷ 60
1 min = 1.2 km
----------------------------------------
Find 110 min
----------------------------------------
1 min = 1.2 km
110 min = 1.2 x 110
110 min = 132 km
_____________________________________________________
----------------------------------------
Total Distance traveled:
----------------------------------------
69km + 132km = 201km
----------------------------------------
Answer: 201 km
----------------------------------------
You have a lot of questions here, I can help you with a few of them.
When you simplify the polynomials, you put together all of the terms that have the same degree. That means the variables have the same exponents. The number of terms are the items separated by plus and minus signs.
Here are the answers for the first three:
1)

2)

3)