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horsena [70]
3 years ago
15

(4 points) A bit string is a sequence of 0s and 1s.How many bit strings of length 12 either start with 0000 or end with 1111

Mathematics
1 answer:
marta [7]3 years ago
8 0

Answer:

The answer is "496"

Step-by-step explanation:

It begins at 0000 or finishes at 1111:

= 2^8 + 2^8 - 2^4\\\\= 256 +256 -16\\\\= 512 - 16 \\\\= 496                  

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5x - y = -11 and ? = (-2,1)
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(-1,6) Just plug in a random number into x and solve for y
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A restaurant lost $305 last week from a lack of customers. This week the restaurant gained $53. How much money in total did they
Artyom0805 [142]

Answer:

-252

Step-by-step explanation:

it's just (-305) + 53

8 0
3 years ago
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Aleks04 [339]

5):  Rectangular  Flowerbed  

Total Area:

14m  *     10m

140m^2


Flower Bed Area:

10m  *   6m  

60m^2

Area of Path:

140m^2     -     60m^2

Answer  ======>    80m^2





4):  Area of Parallelogram:   4.5m^2

Area    =    B  *  H  =====>  2.5m *  1.8  ====> 4.5m^2

b  Base of the parallelogram  ====>   2.5m

h    Height  of the parallelogram ======>  1.8m

Answer   ======> Area ======>  4.5m^2



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3 0
4 years ago
A small cube with side length 6y is placed inside a larger cube with side length 4/2. What is the difference in the
Leokris [45]

Answer:

Step-by-step explanation:

Side length of a small cube = 6y

Side length of a larger cube = 4x²

This small cube is placed inside a larger cube. We need to find the difference in the  volume of the cubes.

Volume of small cube, V_1=(6y)^3=216y^3

Volume of lager cube,

V_2=(4x^2)^3\\\\=64x^6

Difference in the volume of the cubes,

\Delta V=V_2-V_1\\\\=64x^6-216y^3

We can simplify the above expression :

\because \ (a^3-b^3)=(a-b)(a^2+ab+b^2)\\\\(4x^2)^3-(6y)^3=(4x^2-6y)((4x^2)^2+4x^2\times 6y +(6y)^2)\\\\=(4x^2-6y)(16x^4+24x^2y+36y^2)

So, the difference in the volumes of the cubes is (4x^2-6y)(16x^4+24x^2y+36y^2).

3 0
3 years ago
the ratio of the heights of two similar triangles is 6:5 if the perimeter of the larger triangle is 49.2 feet. find the perimite
Mademuasel [1]

Answer:

41 feet

Step-by-step explanation:

We apply the theorem below:

If two similar triangles have a scale factor of a : b, then the ratio of their perimeters is a : b.

Let x be the perimeter of the smaller triangle

If the ratio of their heights is 6:5 and the perimeter of the larger triangle is 49.2 feet,

6:5=49.2:x

6/5=49.2/x

Cross multiplying

6x=49.2 X 5

6x=246

x=246/6=41

The perimeter of the smaller triangle is 41 feet

5 0
3 years ago
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