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exis [7]
3 years ago
8

Pls help i dont understand this question​

Mathematics
1 answer:
nikitadnepr [17]3 years ago
3 0

Answer:

The difference is subtracting 6.5

19.5, 25, 31.5

Step-by-step explanation:

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Find all natural numbers n such that 1+3+5+7+...+(2n-1) sum is divisible by 4
Ierofanga [76]

n ∈ natural even numbers

Step-by-step explanation:

1 + 3 + 5 + 7 + … + (2n-1)

  • a = 1
  • b = 2
  • Uₙ = 2n - 1

sum of the first n terms :

Sₙ = n/2(a + Uₙ)

Sₙ = n/2(1 + 2n - 1)

Sₙ = n/2(2n)

Sₙ = n²

∴ so, the solution of n is all natural even numbers

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3 years ago
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Use the differential equation given by dy/dx=xy/3, y&gt;0<br><br> complete the table of values
melisa1 [442]
The \dfrac{\mathrm dy}{\mathrm dx} row is filled by just plugging in the corresponding values of x and y into the ODE.

For example, when x=-1 and y=1, you have

\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{xy}3\implies\dfrac{\mathrm dy}{\mathrm dx}\bigg|_{x=-1,y=1}=\dfrac{(-1)(1)}3=-\dfrac13

and so on.
6 0
4 years ago
Which of these is an example of numerical data?
liq [111]
<span>number of people that attended the movie theater over the course of a month. hope that helped</span>
7 0
3 years ago
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Can someone help me with this?
Wewaii [24]
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It is called: reflexive property

-----------------------------
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7 0
3 years ago
Which equation represents a parabola that opens upward, has a minimum at x = 3, and has a line of symmetry at x = 3?
densk [106]

Answer:

A.\ y = x^2 - 6x + 13 is the correct answer.

Step-by-step explanation:

We know that vertex equation of a parabola is given as:

y = a(x-h)^2+k

where (h,k) is the vertex of the parabola and

(x,y) are the coordinate of points on parabola.

As per the question statement:

The parabola opens upwards that means coefficient of x^{2} is positive.

Let a = +1

Minimum of parabola is at x = 3.

The vertex is at the minimum point of a parabola that opens upwards.

\therefore h = 3

Putting value of a and h in the equation:

y = 1(x-3)^2+k\\\Rightarrow y = (x-3)^2+k\\\Rightarrow y = x^2-6x+9+k

Formula used: (a-b)^2=a^{2} +b^{2} -2\times a \times b

Comparing the equation formulated above with the options given we can observe that the equation formulated above is most similar to option A.

Comparing y = x^2 - 6x + 13 and y = x^2-6x+9+k

13 = 9+k

k = 4

Please refer to the graph attached.

Hence, correct option is A.\ y = x^2 - 6x + 13

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3 years ago
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