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Mrac [35]
3 years ago
15

NEED HELP WITH THIS

Mathematics
1 answer:
Pepsi [2]3 years ago
5 0

Answer:

67

Step-by-step explanation:


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The diameter of a circle is 12 centimeters. What is the radius of the circle?
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How would the domain & range of Y= 1/4x-6 be determined HELP ASAPP!!!
liq [111]

Answer:

Domain=\mathbb{R}\to x\in(-\infty,\ \infty)\\\\Range=\mathbb{R}\to x\in(-\infty,\ \infty)

Step-by-step explanation:

y=\dfrac{1}{4}x-6}

It's an equation of a linear function in the slope-intercept form:

y=mx+b

<em>m</em><em> - slope</em>

<em>b</em><em> - y-intercept</em>

The domain of any linear function is the set of all real numbers.

The range of any linear function where m ≠ 0 is the set of all real number.

If m = 0, then the equation of a line is y = b. Then the range is {b}.

We have m = 1/4 ≠ 0. Therefore the range is the set of any real numbers.

5 0
4 years ago
Rewrite each expression using I
san4es73 [151]
Just so you know, it has to be written as a lowercase i to represent an imaginary number.

a) 2i
The square root of 4 is 2, the negative under the square root is what makes it imaginary

b) 2i times the square root of 3

c) 5 + (5i times the square root of 2)

d) 3 - (i times the square root of 2)
7 0
3 years ago
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Please someone help! I've been struggling with this assignment! SHOW ALL WORK.
Nady [450]

Answer:

<u>The series:</u>

  • 10, 16, 22, ...

This is an AP with the first term a₁ = 10 and common difference d = 6

a) <u>Recursive formula:</u>

  • a₁ = 10,
  • aₙ = aₙ₋₁ + 6

b) <u>Explicit formula:</u>

  • aₙ = a₁ + 6(n - 1)  ⇒ aₙ = 10 + 6n - 6  ⇒ aₙ = 6n + 4

c) <u>n = 5 ⇒ a₅ = ?</u>

  • a₅ = 6*5 + 4 = 34

d) <u>S₁₇ = ?</u>

  • Sₙ = n(a₁ + aₙ)/2 = n(2a₁ + (n - 1)d)/2
  • S₁₇ = 17(2*10 + 16*6)/2 = 986
6 0
3 years ago
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