Answer:
The nth term of the given sequence
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given sequence -5,-4,-1,4,11,20,31
a₀ = -5
a₁ = a₀ +1 = -5 +1 = -4
a₂ = a₁ + 3 = -4+3 = -1
a₃ = a₂ + 5 = -1 +5 = 4
a₄ = a₃ + 7 = 4 + 7 =11
a₅ = a₄ + 9 = 11+9 = 20
a₆ = a₅ + 11 = 20+11 = 31
a₇ = a₆ + 13 = 31 +13 =44
and so on
The nth term of the given sequence
Given:
A circle of radius r inscribed in a square.
To find:
The expression for the area of the shaded region.
Solution:
Area of a circle is:
Where, r is the radius of the circle.
Area of a square is:
Where, a is the side of the square.
A circle of radius r inscribed in a square. So, diameter of the circle is equal to the side of the square.
So, the area of the square is:
Now, the area of the shaded region is the difference between the area of the square and the area of the circle.
Therefore, the correct option is (a).
Answer:
about 4312
Step-by-step explanation:
You want the total cost for n CDs to be 3.50n.
The manufacturer will charge you 9700+1.25n, so you want these to be equal:
3.50n = 9700 +1.25n
2.25n = 9700 . . . . . . . . subtract 1.25n
n = 9700/2.25 ≈ 4311.111...
Producing 4312 CDs will make the cost per CD slightly less than $3.50.
____
Producing 4311 CDs will make the cost per CD be about $3.500058. Producing 4312 CDs will bring it down to $3.499536.
Answer:
Its 405, theres no negatives so the answer wouldn’t be negative, and then just multiply and you get 405! Hope this helped!
Answer:
3.7hours
Step-by-step explanation:
Step one:
A car travels 360 miles in 8 hours
the speed is calculated as
speed= distance/time
speed= 360/8
speed= 45mph
Step two:
How much time will it take traveling 168 miles?
having found the speed, which is the rate at which the car is tavelling
time= distance/speed
time= 168/45
time= 3.7hours
