Answer:
= 10
Step-by-step explanation:
The n th term of a geometric sequence is
= a
where a is the first term and r the common ratio
Here a = 10 and r = 30 ÷ 10 = 3, thus
= 10
Answer: 120[4(x^6 + x^3 + x^4 + x) +7(x^7 + x^4 + x^5 + x^2)]
Step-by-step explanation:
=24x(x^2 + 1)4(x^3 + 1)5 + 42x^2(x^2 + 1)5(x^3 + 1)4
Remove the brackets first
=[(24x^3 +24x)(4x^3 + 4)]5 + [(42x^4 +42x^2)(5x^3 + 5)4]
=[(96x^6 + 96x^3 +96x^4 + 96x)5] + [(210x^7 + 210x^4 + 210x^5 + 210x^2)4]
=(480x^6 + 480x^3 + 480x^4 + 480x) + (840x^7 + 840x^4 + 840x^5 + 840x^2)
Then the common:
=[480(x^6 + x^3 + x^4 + x) + 840(x^7 + x^4 + x^5 + x^2)]
=120[4(x^6 + x^3 + x^4 + x) +7(x^7 + x^4 + x^5 + x^2)]
Answer:
142.2 meters.
Step-by-step explanation:
We have been given that a box measures 70 cm X 36 cm X 12 cm is to be covered by a canvas.
Let us find total surface area of box using surface area formula of cuboid.
, where,
= Length of cuboid,
= Breadth of cuboid,
= Width of cuboid.
Therefore, the total surface area of box will be 7584 square cm.
To find the length of canvas that will cover 150 boxes, we will divide total surface area of 150 such boxes by width of canvass as total surface area of canvas will also be the same.
Let us convert the length of canvas into meters by dividing 14220 by 100 as 1 meter equals to 100 cm.
Therefore, 142.2 meters of canvas of width 80 cm required to cover 150 such boxes.
Answer:
Probability of both even is 12×12=14. Given they are both even there are 3 possible even numbers: 2,4,6.
Step-by-step explanation:
Answer:
The median and IQR
Step-by-step explanation: