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timama [110]
3 years ago
15

P=2^(43112609)-1 Suppose you have traveled to a faraway place where the base of the number system is 37 . (The inhabitants of th

at country are fond of prime numbers.) So it has 37 symbols in place of our 10 digits, but otherwise it works just like the decimal system. Expressed in that system P,has(.........) digits.?
Mathematics
1 answer:
AfilCa [17]3 years ago
6 0

Answer:

  8,275,842 digits

Step-by-step explanation:

One more than the floor of the logarithm to the base 37 gives the number of digits. The change of base formula can be used.

  \log_{37}{(2^{43112609}-1)}\approx\dfrac{43112609\log{2}}{\log{37}}\approx 8275841.2

Expressed in the base-37 number system, P has 8275842 digits.

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3 years ago
Leon earns $14 an hour how much does he earn in 4 weeks If he works 12 hours each week
Rudiy27

Answer:

14$ times 12 hours =

168$

168$ times 4 weeks =  672$

Step-by-step explanation:

4 0
3 years ago
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Data from the Centers for Medicare and Medicaid Services indicates that the annual per capita out-of-pocket expenses for health
Talja [164]

Answer:

During the year 2021.

Step-by-step explanation:

As we have a function that defines the annual per capita out-of-pocket expenses for health care, we can work with it.

Knowing that, <u>we clear x</u> (<em>this is the number of years past the year 2000, so it will contain our desired information</em>).

y=39.6x+543\Leftrightarrow x=\frac{y-543}{39.6}

Now, as we want to know when are the per capita out-of-pocket expenses for health care predicted to be $1400, and <em>this total is our variable y</em>, then

x=\frac{1400-543}{39.6}\approx 21.6

Finally, we know that <u>x is the number of years past the year 2000</u>, so the answer is that during the year 2021, <em>the per capita out-of-pocket expenses for health care are predicted to be $1400</em>.

3 0
4 years ago
Identify the sine function with the given attributes.
Thepotemich [5.8K]

Answer:

<em>Last option </em>

f(t)=sin(\pi(t -3)) + 4

Step-by-step explanation:

The general sine function has the following form  

y = Asin(bt-\phi) + k

Where A is the amplitude: half the vertical distance between the highest peak and the lowest peak of the wave.  

\frac{2\pi}{b} is the period: time it takes the wave to complete a cycle.

k is the vertical displacement.

\phi phase shift

We know that:

amplitude: 1; period: 2; phase shift: 3; vertical shift: 4

Thus:

A =1

\frac{2\pi}{b}=2

b=\pi

\phi=3

k=4

Then the function is:

f(t)=sin(\pi(t -3)) + 4

The answer is last option

4 0
3 years ago
Express these system specifications using the propositions p “The user enters
Alex73 [517]

Answer:

a) r ⋀~p

b)(r⋀p)⟶q

c) ~r ⟶ ~q

d) (~p ⋀r) ⟶q

Step-by-step explanation:

To solve this question we will make use of logic symbols in truth table.

We are told that;

p means "The user enters

a valid password,”

q means “Access is granted,”

r means “The user has paid the

subscription fee”

A) The user has paid the subscription fee, but does not enter a valid

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Fist part of the statement is correct and so it will be "r". Second part of the statement is a negation and will be denoted by ~p. Since both statements are joined together in conjunction, we will use the conjuction symbol in between them which is "⋀" Thus, we have; r ⋀~p

B) Still using logic symbols, we have;

(r⋀p)⟶q

⟶ means q is true when r and p are true.

C) correct symbol is ~r ⟶ ~q

Since both statements are negation of the question. And also, if ~r is true then ~q is also true.

D) Similar to answer A to C above, applying similar conditions, we have (~p ⋀r) ⟶q

8 0
3 years ago
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