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kaheart [24]
3 years ago
7

The question is attached in the picture below. (University level)

Mathematics
1 answer:
Luba_88 [7]3 years ago
4 0

Answer:

nope

Step-by-step explanation:

Apply dot product which must = 0 for orthogonality.

In this case,

-(3)(2) + (-2)(-2) + (-3)(1) + (1)(4) = -1.

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Answer:

Yo im taking the same thing tell me what answer you get because i eed it to.

Step-by-step explanation:

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3 years ago
A small metal bar, whose initial temperature was 10° C, is dropped into a large container of boiling water. How long will it tak
IgorC [24]

Answer

According to newton law of cooling

\dfrac{d T}{dt} = k (T - T_a)

and

T = Ce^{kt} + T_a

now At Ta = 100

T₀ = 10 °C

T₁ = 12° C

T(0) = Ce^{0} + T_a

10 = C + 100

C = -90

now,

12 = -90e^k + 100

e^k = \dfrac{88}{90}

k = ln{\dfrac{88}{90}}

at time equal to t

T(t) = 70

T(t) = -90 (\dfrac{88}{90})^t + 100

70 = -90(\dfrac{88}{90})^t + 100

(\dfrac{88}{90})^t = \dfrac{1}{3}

t\times ln(\dfrac{88}{90}) = ln(\dfrac{1}{3})

t = 48.88 s

hence, after 48.88 s the temperature of the body will be 70°C

b) time taken to reach 98°C

T(t) = -90 (\dfrac{88}{90})^t + 100

98 = -90(\dfrac{88}{90})^t + 100

(\dfrac{88}{90})^t = \dfrac{1}{45}

t\times ln(\dfrac{88}{90}) = ln(\dfrac{1}{45})

t = 390 s

hence, after 390 s the temperature of the body will be 98°C

5 0
3 years ago
14,000 acres of a 40,000 acre forest burned in a forest fire. what percentage of the forest was damaged?
Oksanka [162]
% damaged =   (14 000/40000) * 100%
 
                    =  14/40 * 100%
                    
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7 0
3 years ago
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Find the side length of the rectangle when area equals 3 Sq ft and other side is one seventh ft
storchak [24]
3 x 1/7 = <span>0.42857142857

Reducing it, </span><span>0.43 feet.</span>
6 0
3 years ago
Please can some one solve this for me thankyou :-)<br><br> its sudoku
Paraphin [41]

 

In the .docx file is a SUDOKU that needs to be resolved.

See the solution in the attached image.

   

8 0
2 years ago
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