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Julli [10]
3 years ago
13

Find the multiplicative order of 5 and 7 in z16

Mathematics
1 answer:
marusya05 [52]3 years ago
3 0
5\equiv5\mod{16}
5^2=25\equiv9\mod{16}
5^3\equiv5\cdot9\equiv45\equiv48-3\equiv-3\equiv13\mod{16}
5^4\equiv9^2\equiv81\equiv1\mod{16}
5^5\equiv5\cdot1\equiv5\mod{16}

7\equiv7\mod{16}
7^2\equiv49\equiv48+1\equiv1\mod{16}
7^3\equiv7\cdot1\equiv7\mod{16}
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See the attachments below!!!
zavuch27 [327]

Answer:

1) x=0.465

2) option A.

Step-by-step explanation:

1) The given equation is:

{3}^{x + 2}  = 15We rewrite this as logarithm to get:

x + 2 =  log_{3}(15)

The change of base formula is:

log_{b}(y)  =  \frac{ log(y) }{ log(b) }

We apply the change of base formula on the RHS to get:

x + 2 =  \frac{ log(15) }{ log(3) }

x + 2 =  \frac{1.176}{0.477}

x + 2 = 2.465

Group similar terms:

x = 2.465 - 2.000 = 0.465

2)

From the graph, the logarithmic function approaches negative infinity as x approaches -6.

Therefore the vertical asymptote is x=-6

The graph touches the x-axis at x=-5, therefore the x-intercept is x=-5.

The correct answer is A.

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3 years ago
What is 9yd = _____ in
NemiM [27]

9 yards is 324 inches

3 0
2 years ago
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Math/Physics Problem <br> (I'd be glad if you solved one of them).
Whitepunk [10]

Answer:

19.2

76.8

Step-by-step explanation:

density × volume = mass

mass = 62.4 × (pi × (40/2)² × h)

mass = 78,374.4h

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WD = 768,069.12h²

At h = 5

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= 19,201,728 ft-lb

= 19.2 million ft-lb

At h = 10

WD = 76,806,9.12 × 10²

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4 0
3 years ago
two companies offer different charges for text messaging company 1 charges 0.04 cents per text message while company two charges
Elena-2011 [213]
Company one cause the equation for it is y=0.04x. If you do y=0.04(500) u get 20$ as the total.
7 0
2 years ago
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Use the information to solve the triangle. Round your answers to two decimal places. Hint: draw a sketch first to determine if y
Anestetic [448]

Answer:

A = 43°

b = 25.8 (3 sig. fig.)

c = 14.5 (3 sig. fig.)

Step-by-step explanation:

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Using sin law,

b/sin104 = 18.1/sin43

b = 25.8 (3 sig. fig.)

c/sin33 = 18.1/sin43

c = 14.5 (3 sig. fig.)

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3 years ago
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