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Komok [63]
1 year ago
13

I need help to solve this

Mathematics
1 answer:
-BARSIC- [3]1 year ago
3 0

Step-by-step explanation:

(6+r)^2 = 81 + r^2

36 + 12r+ r^2 = 81 + r^2

12r = 81-36 = 45

r = 15/4 = 3.75

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Factor completely x^3 + 1/8
maksim [4K]

Answer:

((2 x + 1) (4 x^2 - 2 x + 1))/8

Step-by-step explanation:

Factor the following:

x^3 + 1/8

Put each term in x^3 + 1/8 over the common denominator 8: x^3 + 1/8 = (8 x^3)/8 + 1/8:

(8 x^3)/8 + 1/8

(8 x^3)/8 + 1/8 = (8 x^3 + 1)/8:

(8 x^3 + 1)/8

8 x^3 + 1 = (2 x)^3 + 1^3:

((2 x)^3 + 1^3)/8

Factor the sum of two cubes. (2 x)^3 + 1^3 = (2 x + 1) ((2 x)^2 - 2 x + 1^2):

((2 x + 1) ((2 x)^2 - 2 x + 1^2))/8

1^2 = 1:

((2 x + 1) ((2 x)^2 - 2 x + 1))/8

Multiply each exponent in 2 x by 2:

((2 x + 1) (2^2 x^2 - 2 x + 1))/8

2^2 = 4:

Answer:  ((2 x + 1) (4 x^2 - 2 x + 1))/8

5 0
3 years ago
Read 2 more answers
Round to the nearest tenth 10.357
madam [21]
The answer is 10.4 because 5 is counted as higher so it's 10.4.
5 0
3 years ago
Read 2 more answers
PLZ NEED HELP QUICK PLZ
scZoUnD [109]

Answer:

Slope = 3

Step-by-step explanation:

For a proportional relationship, the slope of the line is simply y/x.

So using any given pair of values from the table, say (1, 3), the slope is:

y/x = 3/1

Slope = 3

3 0
2 years ago
The original price of an audio jukebox was 280 it is on sale for 220 what percent discount does this represent
solong [7]

Answer:

The answer would be 12%

Step-by-step explanation:

250-220=30 and 30 is 12% of 250

4 0
2 years ago
Read 2 more answers
A bacteria culture starts with 100 bacteria and doubles in size every half hour.
taurus [48]

Answer:

y=25600

y=100(2)^{2t}

y=252

Step-by-step explanation:

A bacteria culture starts with 100 bacteria and doubles in size every half hour.

y=100(2)^{2x}

where x represents the number of hours

(a) t= 4 hours

Plug in 4 for t  and find out the number of bacteria y

y=100(2)^{2 \cdot 4}\\y=25600

25600 bacteria

y=100(2)^{2t}

convert 40 seconds into hour

40 divide by 60 =2/3

y=100(2)^{2\frac{2}{3} }\\y=100(2)^{\frac{4}{3} }\\\\y=252

The graph is attached below

4 0
2 years ago
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