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Gennadij [26K]
2 years ago
9

(Ignore the big blue 3)

Mathematics
1 answer:
Tpy6a [65]2 years ago
4 0

answer

volume of cube=edge³

125,000=edge³

cube root of 125,000 is the side of the cube.

side=50inches

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|Area of a square field is 617796cm² . Find length of its each side.
mariarad [96]

Answer:

length of its each side is 786 cm

Step-by-step explanation:

l² = 617796cm²

l = √617796

l = 786cm

7 0
2 years ago
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Hey how do you get from standard form to vertex form?
vlabodo [156]

Explanation:

Conversion of a quadratic equation from standard form to vertex form is done by completing the square method.

Assume the quadratic equation to be \mathbf{ax^{2}+bx+c=0} where x is the variable.

Completing the square method is as follows:

  1. send the constant term to other side of equal                 \mathbf{ax^{2}+bx=-c}
  2. divide the whole equation be coefficient of \mathbf{x^{2}}, this will give     \mathbf{x^{2}+\frac{b}{a}x=- \frac{c}{a}}
  3. add \mathbf{(\frac{b}{2a})^{2}} to both side of equality                                   \mathbf{x^{2}+2\times\frac{b}{2a}x+\frac{b}{2a}^{2}=-\frac{c}{a}+\frac{b}{2a}^{2}}
  4. Make one fraction on the right side and compress the expression on the left side                                                                          \mathbf{(x+\frac{b}{2a})^{2}=\frac{b^{2}-4ac}{4a^{2}}}
  5. rearrange the terms will give the vertex form of standard quadratic equation                                                                 \mathbf{a(x+\frac{b}{2a})^{2}-\frac{b^{2}-4ac}{4a}=0}

Follow the above procedure will give the vertex form.

(NOTE : you must know that \mathbf{(x+a)^{2}=x^{2}+2ax+a^{2}}. Use this equation in transforming the equation from step 3 to step 4)

8 0
3 years ago
Find the limit of the sequence of partial sums whose general term is <img src="https://tex.z-dn.net/?f=a_n%3D%5Cfrac%7B100%5En%7
nasty-shy [4]

Answer:

0

Step-by-step explanation:

If ∑aₙ converges, then lim(n→∞)aₙ = 0.

Using ratio test, we can determine if the series converges:

If lim(n→∞) |aₙ₊₁ / aₙ| < 1, then ∑aₙ converges.

If lim(n→∞) |aₙ₊₁ / aₙ| > 1, then ∑aₙ diverges.

lim(n→∞) |(100ⁿ⁺¹ / (n+1)!) / (100ⁿ / n!)|

lim(n→∞) |(100ⁿ⁺¹ / (n+1)!) × (n! / 100ⁿ)|

lim(n→∞) |(100 / (n+1)|

0 < 1

The series converges.  Therefore, lim(n→∞)aₙ = 0.

7 0
2 years ago
Rewrite the fraction in the sentence below as a percentage.
harkovskaia [24]

Answer:

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5 0
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kodGreya [7K]

10r² + 3 = 813

10r² = 813 - 3

10r² = 810

r² = 810 ÷ 10

r² = 81

r = √81

r = <u>9</u>

So, the value of <em>r </em>is 9

<em>Hope </em><em>it </em><em>helpful </em><em>and </em><em>useful </em><em>:</em><em>)</em>

7 0
3 years ago
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