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galben [10]
3 years ago
15

Solve the following equations for y. 9. 2y + 3= 2x

Mathematics
1 answer:
Dahasolnce [82]3 years ago
4 0

Answer:

y = x − 3 /2

Step-by-step explanation:

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You want to order some T-shirts that cost $14 each. Shipping is $7 per order. If you
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Read 2 more answers
Find the area of a regular hexagon if given a side length of 1.9 to the square root of 3.
dalvyx [7]

Answer:

28.137 sq. units.

Step-by-step explanation:

Area of a regular hexagon is

A=\dfrac{3\sqrt{3}}{2}a^2

where, a is the side length.

It is given that the side length of the regular hexagon is 1.9\sqrt{3}.

Substitute a=1.9\sqrt{3} in the above formula.

A=\dfrac{3\sqrt{3}}{2}(1.9\sqrt{3})^2

A=(1.5\sqrt{3})(10.83)

A=16.245\sqrt{3}

A=28.137

Therefore, the area of regular hexagon is 28.137 sq. units.

6 0
3 years ago
Hello, help me please))
Fed [463]

Answer:

  • 6
  • 9
  • 1/8
  • -10/11

Step-by-step explanation:

You can rewrite the given log expressions to express them in terms of ln(a), ln(b), and ln(c). Then substituting the given values will produce the value of the expression.

Or, you can define the variables 'a', 'b', and 'c' and let your calculator compute these directly.

__

<h3>1.</h3>

  \ln\left(\dfrac{a^4}{b^4c^{-2}}\right)=4\ln(a)-(4\ln(b)-2\ln(c))=4\cdot2-4\cdot3+2\cdot5=\boxed{6}

<h3>2.</h3>

  \ln\left(\sqrt{b^{-2}c^4a^2}\right)=\dfrac{1}{2}\left(-2\ln(b)+4\ln(c)+2\ln(a)\right)=\ln(a)-\ln(b)+2\ln(c)\\\\=2-3+2\cdot5=\boxed{9}

<h3>3.</h3>

  \dfrac{\ln(a^1b^2)}{\ln(bc)^2}=\dfrac{\ln(a)+2\ln(b)}{(\ln(b)+\ln(c))^2}=\dfrac{2+2\cdot3}{(3+5)^2}=\dfrac{8}{64}=\boxed{\dfrac{1}{8}}

<h3>4.</h3>

  \ln(c^{-2})\left(\ln\dfrac{a}{b^{-3}}\right)^{-1}=\dfrac{-2\ln(c)}{\ln(a)-(-3)\ln(b)}=\dfrac{-2(5)}{2+3\cdot3}=\boxed{-\dfrac{10}{11}}

_____

The applicable rules of logarithms are ...

  • ln(ab) = ln(a) +ln(b)
  • ln(a/b) = ln(a) -ln(b)
  • ln(a^b) = b·ln(a)
  • ln(a) = b  ⇔  a = e^b

Of course, a square root is the same as a 1/2 power.

7 0
2 years ago
A box contains 8 chocolate, 4 powdered sugar, 6 cinnamon, and 6 red velvet munchkins. If you grab a munchkin, eat it, and then g
Svetllana [295]

Answer:

ok so there is 24 munchkins in the box and the probability of picking a chocolates is 1/3 and the probability of picking a red velvet is 1/4 so the if we multiply these together the probability of picking a chocolates then a red velvet is 1/12 or 8.3 percent

4 0
3 years ago
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