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choli [55]
3 years ago
11

Identify the pattern and find the next number in the pattern. 0.9, 3.6, 14.4, 57.6

Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
4 0
For any given pattern pattern there is a law connecting the numbers in the pattern such that using the law or the formula one can predict the next number in the pattern. In this case, between two consecutive numbers there is a scale factor of 4 such that to get the next number you multiply the previous by 4.
Therefore, the next number in this pattern will be 57.6 ×4 = 230.4 
=230.4.
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Find the dimensions of the rectangular box with largest volume if the total surface area is given as 4 cm2. (Let x, y, and z be
Scorpion4ik [409]

Answer:

The dimensions of the rectangular box, x = y = z = 0.817 cm

Step-by-step explanation:

Given;

total surface area of the rectangular box or cuboid = 4 cm²

A rectangular box with largest volume  is a cube.

The total surface area of a cube = 6 times  square of one edge length.

Let the edge length = given dimensions,  x, y, z

x = y = z

6x² = 4

x² = 4/6

x =\sqrt{\frac{4}{6} }\\\\ x = \frac{2}{\sqrt{6} } \ cm \ = 0.817 \ cm

Therefore, the dimensions of the rectangular box, x = y = z = 0.817 cm

7 0
3 years ago
Karrem says that the ratio 4:1 is eqivilent to the ratio of 12:9 because 4+8=12 and 1+8 =9 is karreem correct
Mariana [72]

Answer:

No, Kareem is incorrect.

Step-by-step explanation:

Kareem says that the ratio of \frac{4}{1}=\frac{12}{9} because 4 + 8 = 12 and 1 + 8 = 9

But the correct way to rewrite the ratio 4 : 1 is,

\frac{4}{1}=\frac{4\times 3}{1\times 3}

Which becomes as,

\frac{4}{1}=\frac{12}{3}

Therefore, Kareem is not correct.

Correct ratio equivalent to 4 : 1 is 12 : 3.

8 0
3 years ago
Find the value of c that makes each trinomial a perfect square. Then write the trinomial as a perfect square.
musickatia [10]

Answer:

d. c = 100; (x – 10)²

Step-by-step explanation:

Note that (x+a)²=x²+2ax+a².

In our case, 2a=-20, so 'a' must be -10.

Since c=a², and a=-10, c=(-10²)=100.

Since a=-10, the perfect square is (x – 10)²

3 0
3 years ago
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5 0
3 years ago
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which equation is in slope intercept form and represents a line with slope 3 through the point (9,-4)?
faust18 [17]

Answer:

y = 3x - 23

Step-by-step explanation:

y + 4 = 3(x - 9)

y + 4 = 3x - 27

y = 3x - 23

4 0
3 years ago
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