Answer:
1. z^2
2. 14z
Step-by-step explanation:
- We know that (a^m)^n = a^(mn) = (a^n) ^m
We also know that (a^m)(a^n) = a^(m+n)
- 36 can be written as 6^2 and here 36^(500) can be written as (6^2)^500 which also can be written as (6^500)^2 and as already it is mentioned that 6^500 as z we can write the above as <u>z^2</u>
2. 8 x 6^500 = 8z
And we can also write 6^(501) as 6^(500+1) which is equivalent to 6(6^500) which is 6z.
From the above we can make sure that the question is the sum of the above which is 8z + 6z = <u>14z</u><u>.</u>
Given that the ball has a thickness of 1 cm and the radius at the outside is 5 cm, thus the radius from inside is 5 - 1 = 4cm.
The <span>approximate volume of rubber used to make the ball is given by the volume of the ball at the outside surface minus the volume of the ball at the inside surface.
i.e.
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Answer:
x > 133/45
WORKING :
Multiply the number : 4 . 6 = 24
24(9-x) - 6 (4 - 7x) > 5 (1 - 2x) - 8x + 9 (6-x)
expand 24(9 - x) - 6(4 -7x) : 18x + 192
expand 5(1-2x) - 8x + 9(6-x) : - 27x + 59
18x + 192 > -27x + 59
subtract 192 from both sides
18x + 192 - 192 > -27x + 59 - 192
simplify
18x > -27x - 133
add 27x to both sides
18x + 27x > - 27x - 133 + 27x
simplify
45x > - 133
Divide both sides by 45
45x/45 > 133/45
Simplify
x > 133/45
FINALLY ANSWER :
X > 133/45
Answer:
ok this the answer By definition, a rectangle is a parallelogram because its pairs of opposite sides are parallel. A rectangle also has the special characteristic that all of its angles are right angles; all four of its angles are congruent. The other special case of a parallelogram is a special type of rectangle, a square.
Step-by-step explanation: