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Harrizon [31]
3 years ago
11

The set of numbers 1, 7, 11 and 3) contains values for m. What value of m makes the inequality 4m+8<36 true?

Mathematics
2 answers:
BaLLatris [955]3 years ago
7 0
3 and 1 would both work because 1 would make the expression equal 12 because 4 times 1 =4 and +8 would make it 12. And then 3 would make it 20 because 4*3+8=20. And 7 would actually work too because 7*4=26     26+8=32

Hope this helps! Good luck!
solmaris [256]3 years ago
3 0
Only 1 and 3 would be true.
If you plug 7 in you get 4(7) + 8 = 36 it is not less than.
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Determine the first four numbers of N if N is<br><img src="https://tex.z-dn.net/?f=N%20%3D%20%20%5Csqrt%7B122436486072...2400%7D
Anestetic [448]

Answer:

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  see below for explanation

Step-by-step explanation:

The first four digits of the root depend on whether the exponent in scientific notation is even or odd.

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N \approx\sqrt{1.2243648607}\approx 1.106\dots

If it is <em>odd</em>, then the mantissa of the root is ...

N \approx\sqrt{12.243648607}\approx 3.499\dots

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3 years ago
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kolbaska11 [484]

Answer:

  x ∈ {-0.465, 1.014}

Step-by-step explanation:

The equation can be cast in the form f(x) = 0, and solved easily using a graphing calculator. That shows x ≈ -0.465 and x ≈ 1.014. The same calculator can iterate the roots to full calculator precision.

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The equation can be made a quadratic by the substitution ...

  z = e^(2x)

Then we have ...

  2\cosh(2x)-\sinh(2x)=4\\\\2\cdot\dfrac{e^{2x}+e^{-2x}}{2}-\dfrac{e^{2x}-e^{-2x}}{2}-4=0\qquad\text{use exponential identities}\\\\2z+2z^{-1}-z+z^{-1}-8=0\qquad\text{multiply by 2, substitute z}\\\\z^2 -8z+3=0\qquad\text{multiply by z}\\\\z=\dfrac{8\pm\sqrt{(-8)^2-4(1)(3)}}{2(1)}=4\pm\sqrt{13}\\\\x=\dfrac{\ln(z)}{2}=\dfrac{\ln(4\pm\sqrt{13})}{2}\approx\{-0465133,1.014439\}

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2 years ago
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geniusboy [140]

Answer:

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6 0
3 years ago
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Gelneren [198K]

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3 years ago
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Identifying Possible Triangles
Masja [62]

Answer:

3rd triangle can be constructed with dimensions 2,6,7.

Step-by-step explanation:

sum of any two sides > third side.

difference of any two sides < third side

1.

8+5=13 not >14 (no triangle.)

2.

7+8=15 not >15 (no triangle)

3.

2+6=8>7

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4.

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