Answer:
Finding the product of 9, 10 and 9 ; 810
Step-by-step explanation:
Given that :
Length = 10 feets
Width = 9 feets
Height = 9 feets
The volume of a rectangular prism is obtained by :
Length * width * height
The volume could be obtained by taking the product of 10, 9 and 9
Hence, the volume of the rectangular prism is :
(10 * 9 * 9) feet³ = 810 feet³
Number of 1 feet³ boxes = 810 feet³ / 1 feet³ = 810
Answer:
21x-28
Step-by-step explanation:
Distribute
7(3x-4)
7*3x=21x
7*-4=-28
Answer:
v < 7/12
Step-by-step explanation:
Answer:
i) The maximum height of the ball 'x' = 1.5 seconds
ii) The maximum height = 42
Step-by-step explanation:
<u>Step(i):</u>-
Given h(x) = - 16 x² + 48 x +6 ...(i)
Differentiating equation (i) with respective to 'x'
...(ii)
Equating Zero
- 3 2 x + 4 8 = 0
- 32 x = - 48
x = 1.5
<u><em>step(ii)</em></u>:-
The maximum height of the ball 'x' = 1.5
Again Differentiating equation (ii) with respective to 'x'
The maximum height 'x' = 1.5
h(x) = - 16 x² + 48 x +6
h(1.5) = - 16 (1.5)² +4 8 (1.5) +6
= 42
The maximum height at x = 1.5 is = 42
<u><em>Final answer</em></u>:-
i) The maximum height of the ball 'x' = 1.5 seconds
ii) The maximum height = 42
Answer:
Both Wolverine and James Bond will have paid the same amount after 10 months.
Step-by-step explanation:
Let x denotes the number of months after which both Wolverine and James Bond will have paid the same amount.
As Wolverine makes a $1000 down payment for a motorcycle and then pays $300 per month,
Amount paid by Wolverine in x months is equal to
As James Bond makes a $2500 down payment for a motorcycle and then pays $150 per month,
Amount paid by James Bond in x months is equal to
To find number of months after which both Wolverine and James Bond will have paid the same amount,
solve
So, both Wolverine and James Bond will have paid the same amount after 10 months.