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True [87]
3 years ago
12

The side length of a cube is (x^2-1/2). Determine the volume of the cube.

Mathematics
2 answers:
pishuonlain [190]3 years ago
5 0

\\ \sf\longmapsto volume=side^3

\\ \sf\longmapsto volume=(x^2-1/2)^3

\\ \sf\longmapsto volume=(x^2)^3-3x^4(1/2)+3x^2(1/2)^2-(1/2)^3

\\ \sf\longmapsto Volume=x^6-3x^4/2+3x^2/4-1/8

stellarik [79]3 years ago
3 0

Answer:

Step-by-step explanation:

x^6 − (3x^4)/2 + (3x^2)/4 − 1/8

The volume of a cube is Length^3.

If a length is (x^2-1/2, then cube root it

It will then be (x^2-1/2) x (x^2-1/2) x (x^2-1/2).

FOIL each term and evaluvate

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8 divide by 1 1/4 KCF
Diano4ka-milaya [45]

Answer:

32/5

Step-by-step explanation:

K=Keep the first Fraction (You can rewrite 8 as 8/1 for when you multiply across.)

C=Change the Division Sign to a Multiplication Sign

F=Flip the Second Fraction

First, rewrite 1 1/4 as 5/4 (A mixed number can be changed to a fraction by multiplying the outside whole number by the denominator or bottom number of the fraction, then add the new rewritten whole number and the original fractional piece. In this case you would multiply the outside 1 by the bottom 4 and add it to the original 1/4. 4/4+1/4=5/4)

Second, Flip 5/4 to 4/5 and change your equation so it now reads: 8/1 x 4/5

Third, use simple fraction multiplication and multiply across to get 8/1 x 4/5=32/5

6 0
3 years ago
Jeremy's grandfather is four times as old as he is if you add their ages together you will get 80 how old is Jeremy
ruslelena [56]
16.
4x + x = 80
5x=80
x=16
8 0
3 years ago
Read 2 more answers
Malachai is doing a 20 miles bike ride. He has cycled 11 miles so far. What percentage of the the total distance has he cycled
Anestetic [448]
11 miles / 20 miles =.55
.55 x 100 = 55%
11/20 is the proportion and you multiply by 100 to gey a percent
another way to solve is
11/20 x 5/5 = 55/100 = 55%
you multiply by 5/5 because it is equal to one and it makes the denominator equal to 100 it also follows the rule that whatever you do to the top you must do with the bottom
5 0
3 years ago
Is anyone willing to help me with this? I tried adding this and still no answer. Please help..
GaryK [48]

Answer:   C. (-4, -2)

<u>Step-by-step explanation:</u>

First, eliminate one of the variables and solve for the remaining variable:

2x - 5y = 2      →    3(2x - 5y = 2)      →     6x - 15y = 6

3x + 2y = -16   →  -2(3x + 2y = -16)    →  <u> -6x - 4y = 32</u>

                                                                     -19y = 38

                                                                         y = -2


Next, replace "y" with -2 into either of the original equations to solve for x:

2x - 5y = 2

2x - 5(-2) = 2

2x + 10 = 2

2x         = -8

 x          = -4

                                       x = -4,  y = -2

<u>Check:</u>

Plug in the x- and y-values into the other original equation:

3x + 2y = -16

3(-4) + 2(-2) = -16

-12  +  -4     = -16

      -16         = -16   \checkmark

3 0
3 years ago
How long will it take a $800 investment to be worth $900 if it is continuously compounded at 11% per year?
Kruka [31]
The formula is
A=p e^rt
A future value 900
P present value 800
E constant
R interest rate 0.11
T time?

We need to solve for t
T=[log (A/p)÷log (e)]÷r
T=(log(900÷800)÷log(e))÷0.11
T=1.07 years round your answer to get 1 year
3 0
3 years ago
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