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Cloud [144]
3 years ago
7

I need help.Thanks!​

Mathematics
1 answer:
IgorLugansk [536]3 years ago
3 0

Answer:

35×14-16

Step-by-step explanation:

times means × and minus means -

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Calvin encoded a secret phrase using matrix multiplication. Using A = 1, B = 2, C = 3, and so on, he multiplied the clear text c
Vlad1618 [11]
Our matrix C is the encoder.  Let X be our secret message and let B be our encoded message.  Therefore the relationship between the 3 can be represented as:

CX = B

So we want to solve for X (our secret message). So using matrix algebra:

X = C^-1*B
where C^-1 is the inverse of C.

C^-1 = | 3 -2 |
           |4 -3 |

So we take C^-1 and multiply it by matrix B to get X.  Matrix B is already given to us.  So just multiply those two.  I used a calculator to get:

X = | 20 8 5 3 15 12 15 |
      | 18 9 19 2 12 21 5 |

And since A = 1, B = 2, C = 3, etc....

We decode our message and it says:

X = | T H E C O L O |
      | R I S B L U E |

So the answer is: The color is blue (D)
8 0
3 years ago
Area of circle with diameter of 1 m?
Elena-2011 [213]

Answer:

A = 0.785m²

B = 31400cm²

C = 7850cm²

D = 785,000mm²

Step-by-step explanation:

To solve this question, we'll have to find the area of a circle which is

Area of a circle = πr²

1. The diameter of the circle = 1m

Area of a circle = πr²

r = radius of the circle

π = 3.14

Radius = diameter / 2

Radius = 1 / 2 = 0.5m

Area = 3.14 × (0.5)²

Area = 3.14 × 0.25

Area = 0.785m²

2. Radius = 100cm

Area of a circle = πr²

Area = 3.14 × (100)²

Area = 3.14 × 10000

Area = 31400cm²

3. Diameter = 100cm

Area = πr²

Radius = diameter / 2

Radius = 100 / 2

Radius = 50cm

Area = πr²

Area = 3.14 × (50)²

Area = 3.14 × 2500

Area = 7850cm²

4. Radius = 500mm

Area = πr²

Area = 3.14 × (500)²

Area = 3.14 × 250,000

Area = 785,000mm²

7 0
3 years ago
Read 2 more answers
What is the word pharse for y/5
Vitek1552 [10]
I'm pretty sure it's y divided by 5 because the fraction bar means divided by
3 0
3 years ago
Your teacher tells you that a line goes through the points (-6, 1/2) and (-4, 3.)
rosijanka [135]

Answer:

Step-by-step explanation:

I'm pretty sure that the equation for slope is y2 -y1

                                                                        -----------

                                                                          x2 - x1

Substitute in the info, and simplify to find the slope.

7 0
3 years ago
An energy-efficient lightbulb, taking in 27.0 W of power, can produce the same level of brightness as a conventional lightbulb o
Pavlova-9 [17]

Answer:

$148.4

Step-by-step explanation:

Given:

Power consumed by the energy-efficient lightbulb = 27.0 W = 27.0 × 10⁻³ kW

Power consumed by the conventional lightbulb = 100 W = 100 × 10⁻³ kW

Lifetime of the energy-efficient lightbulb = 10,000 h

Lifetime of the conventional lightbulb = 750 h

Cost of the energy-efficient lightbulb = $4.60 per bulb

Cost of the conventional lightbulb = $0.50 per bulb

Energy cost = $0.20 per kilowatt-hour

Now,

The total cost of  energy-efficient lightbulb for 10,000 hours

= cost of bulb + energy cost

= $4.60 + ( 27.0 × 10⁻³ kW × $0.20 kW/h × 10,000 h)

= $4.60 + $54

= $58.60

Now,

For the life of 10,000 hours number of conventional bulbs required

= \frac{\textup{Total lifetime required}}{\textup{Lifetime per bulb}}

= \frac{\textup{10,000}}{\textup{750}}

= 13.33 ≈ 14 bulbs

Thus,

The total cost of  conventional bulb for 10,000 hours

= cost of bulb + energy cost

= ( $0.50 × 14 ) + ( 100 × 10⁻³ kW × $0.20 kW/h × 10,000 h)

= $7 + $200

= $207

Therefore,

The total savings = $207 - $58.60 = $148.4

3 0
3 years ago
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