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alex41 [277]
3 years ago
6

I need help please????

Mathematics
1 answer:
kenny6666 [7]3 years ago
7 0
A is 0 and b is 0 to
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Find all the square roots of x^2 ≡ 53 (mod 77) by hand. This is my second post. Please explain all the steps how you did this?
sasho [114]

Answer:

Step-by-step explanation:

Given that

x^2 ≡ 53 (mod 77)

Right side has values as

53, 53+77, 53+2(77),+....

We have to find one which is a perfect square.

We have from this series 361 is 19 square

Thus x =19.

Next is x^2=900\\x=30

x^2=2209\\x=47 and so on.

3 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%5Clarge%7B%5Cbold%20%5Cred%7B%20%5Csum%20%5Climits_%7B8%7D%5E%7B4%7D%20%7Bx%7D%5E%7B2%7D%2
kiruha [24]

Answer:

No solution

Step-by-step explanation:

We have

$\sum_{x=8}^{4}x^2 + 9\left(\dfrac{\cos^2(\infty)}{\sin^2(\infty)} \right)$

For the sum it is not correct to assume

$\sum_{x=8}^{4}x^2= 8^2 + 7^2+6^2+5^2+4^2 = 64+49+36+25+16 = 190$

Note that for

$\sum_{x=a}^b f(x)$

it is assumed a\leq x \leq b and in your case \nexists x\in\mathbb{Z}: a\leq x\leq b for a>b

In fact, considering a set S we have

$\sum_{x=a}^b (S \cup \varnothing) = \sum_{x=a}^b S + \sum_{x=a}^b \varnothing $ that satisfy S = S \cup \varnothing

This means that, by definition \sum_{x=a}^b \varnothing = 0

Therefore,

$\sum_{x=8}^{4}x^2 = 0$

because the sum is empty.

For

9\left(\dfrac{\cos^2(\infty)}{\sin^2(\infty)} \right)

we have other problems. Actually, this case is really bad.

Note that \cos^2(\infty) has no value. In fact, if we consider for the case

$\lim_{x \to \infty} \cos^2(x)$, the cosine function oscillates between [-1, 1] , and therefore it is undefined. Thus, we cannot evaluate

9\left(\dfrac{\cos^2(\infty)}{\sin^2(\infty)} \right)

and then

$\sum_{x=8}^{4}x^2 + 9\left(\dfrac{\cos^2(\infty)}{\sin^2(\infty)} \right)$

has no solution

7 0
3 years ago
Determine the graph of the polar equation r = 25/10-25 sin(theta).
ludmilkaskok [199]

Answer:

  graph A

Step-by-step explanation:

A graphing calculator can plot this function for you.

If you divide numerator and denominator by 25, you get ...

  r = 1/(0.4 -sin(θ))

This will have asymptotes at θ = arcsin(0.4). At those values of θ, the value of r will change sign, so the graph cannot be a parabola or ellipse.

The graph of the hyperbola is the appropriate choice.

7 0
3 years ago
About how many miles are in 16,300 ft
Studentka2010 [4]
About 3, because there are 5280 feet in a mile, so 2 miles would be 10560, and 3 would be 15840, and that is the closest you will get, because the 4th miles would be 21120. 
8 0
3 years ago
This scatter plot show the relationship between the temperature and amount of sales at a store. The line of best fit is shown on
Anit [1.1K]

Answer:

a) b ≈ 100

b) m ≈ 30

Step-by-step explanation:

5 0
3 years ago
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