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Mashutka [201]
2 years ago
9

Help please!!!! Will mark b for right answer

Mathematics
2 answers:
Anastaziya [24]2 years ago
8 0
(2x+1) = 71
-1 -1
2x = 70
Divide 2 by each side
x = 35°
Ronch [10]2 years ago
5 0

Answer:

35

Step-by-step explanation:

2x+1=71

71-1=70

70÷2=35

therefore x must be 35

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Find the smallest positive $n$ such that \begin{align*} n &\equiv 3 \pmod{4}, \\ n &\equiv 2 \pmod{5}, \\ n &\equiv
Alex777 [14]

4, 5, and 7 are mutually coprime, so you can use the Chinese remainder theorem right away.

We construct a number x such that taking it mod 4, 5, and 7 leaves the desired remainders:

x=3\cdot5\cdot7+4\cdot2\cdot7+4\cdot5\cdot6

  • Taken mod 4, the last two terms vanish and we have

x\equiv3\cdot5\cdot7\equiv105\equiv1\pmod4

so we multiply the first term by 3.

  • Taken mod 5, the first and last terms vanish and we have

x\equiv4\cdot2\cdot7\equiv51\equiv1\pmod5

so we multiply the second term by 2.

  • Taken mod 7, the first two terms vanish and we have

x\equiv4\cdot5\cdot6\equiv120\equiv1\pmod7

so we multiply the last term by 7.

Now,

x=3^2\cdot5\cdot7+4\cdot2^2\cdot7+4\cdot5\cdot6^2=1147

By the CRT, the system of congruences has a general solution

n\equiv1147\pmod{4\cdot5\cdot7}\implies\boxed{n\equiv27\pmod{140}}

or all integers 27+140k, k\in\mathbb Z, the least (and positive) of which is 27.

3 0
3 years ago
1 n +5 - 1<br> n2 + n n2 +n<br> n-6<br> n +1
chubhunter [2.5K]
1). 1n+5-1
N=26
2). n2+n n2+n
n3+n2+n
6 0
3 years ago
Help me please guys.
Alex_Xolod [135]
15.04 degrees or answer A is correct.


The Law of Sines is the relationship between the sides and angles of non-right (oblique) triangles . Simply, it states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all sides and angles in a given triangle. The formula for it is A=b•sin a/sin b.


You can transform the law of sines formulas to solve some problems of triangulation (solving a triangle). You can use them to find:

The remaining sides of a triangle, knowing two angles and one side.
The third side of a triangle, knowing two sides and one of the non-enclosed angles. In some cases (ambiguous cases) there may be two solutions to the same triangle. If the following conditions are fulfilled, your triangle may be an ambiguous case:
You only know the angle α and sides a and c;
Angle α is acute (α < 90°);
a is shorter than c (a < c);
a is longer than the altitude h from angle β, where h = c * sin(α) (a > c * sin(α)).

I hate useless complicated math lol ;)
5 0
3 years ago
Landon is a maintenance worker at an amusement park. He stands atop a raised platform of the park's most popular
Helga [31]

Answer:

the equation fits the situation, but the table doesn’t.

Step-by-step explanation:

For both functions, the lead roller coaster car starts at an initial height of 32 feet. This is the point (0,32), directly above Landon.

The car races past Landon’s field of vision (y = 0) after it moves a horizontal distance of 4 feet and then 8 feet with respect to the starting point. So, the correct function will have x-intercepts of 4 and 8.

Begin by checking the equation. Rewrite the equation in factored form:

f(x) = x^{3} − 11x^{2} + 20x + 32

= (x + 1)(x^{2} − 12x + 32)

= (x + 1)(x − 4)(x − 8)

The equation has x-intercepts of 4 and 8.

But the table only has one x-intercept, located at (4,0). The point (8,160) is well out of Landon’s line of sight.

So, the equation fits the situation, but the table doesn’t.

3 0
2 years ago
Read 2 more answers
Mr. Jones’s class collected tissue boxes. The class brought in a total of 30 boxes. If the tissue box dimensions are listed belo
Gelneren [198K]

Answer:

What are the dimensions?

Step-by-step explanation:

8 0
2 years ago
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