<span>2 x + 3 y = 6?
</span>x -intercept; y = 0 then <span>2 x + 3 (0) = 6; x = 3
</span>y -intercept; x = 0 then 2 (0)+ 3y = 6; y = 2
answer <span>1 ) x -intercept: (3, 0); y -intercept: (0, 2)</span>
Answer:
12565.11 teeth approximately cut cross the cutting surface per seconds.
Step-by-step explanation:
Since the diameter is 10inches, the circumference of the arm saw is 10π (circumference is πd where d is diameter).
The number of teeth on the cutting blade can be gotten by multiplying the diameter by 12 since we have 12 teeth per inch on the arm saw
Number of teeth on saw = 12 x 10π = 120π.
To get the number of teeth that cross the cutting surface in 2000rpm we multiple it by the total number of teeth in just one rpm.
So we have 2000 x 120π. But since we are asked to find it in revolution per seconds then 2000r/m = 2000r/60s ≈ 33.33
Therefore, we have
33.33 x 120π ≈ 12565.11 teeth
76 x 120 = 9120
9120 / 3 = 3040
The car will travel 3040 yards in 120 seconds
Answer:
Tomorrow = 25 students
In 2 days = 44 students
In 40 days = 40 students
Step-by-step explanation:
Let A = watch more than an hour
B = watch less than an hour
First of all we need to make a transition matrix
Also we are given,
X = [100, 100]
A B
Therefore,
= [25, 175]
Thus, 25 students will watch television for an hour or more tomorrow.
Now for 2 days,
= [43.75, 156.25]
Hence, 44 students will watch television for an hour or more in 2 days.
Now in 40 days,
But instead of multiplying the above matrix 40 times, we can we can find the long term division method.
Let
x = long term distribution of students watching television >1 hour
y = long term distribution of students watching television <1 hour
Therefore,
⇒ 0.25 y = x
And we know that x + y = 200
∴ 0.25 y + y = 200
∴ y = 160
And x = 40 ( ∵ x + y = 200)
Thus 40 students will watch televisions in the 40 days for an hour or more.