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Aleks [24]
3 years ago
12

Rearrange the equation to isolate A. H=K+log(A/C)

Mathematics
2 answers:
Maslowich3 years ago
4 0
H = K + log ( A/C )
log ( A/C ) = H - K
\frac{A}{C}= 10^{H-K}
A = C*10 ^{H-K}

 

Xelga [282]3 years ago
3 0

Answer:

A=C(10)^{H-K}

Step-by-step explanation:

The given equation is

H=K+\log(\frac{A}{C}

Subtract K to both sides of the equation

H-K=\log(\frac{A}{C}

Now, use the property, x=\log y\Rightarrow y=10^x

10^{H-K}=(\frac{A}{C}

Multiply both sides by C to isolate A

A=C(10)^{H-K}

The value of A is

A=C(10)^{H-K}

You might be interested in
If you flip the coin 96 times,how many heads?
Murljashka [212]

If this is a good coin meaning that the head has as many chances as being flipped as a tail then you can expect 48.

There are only two options per flip and thus both sides have an even chance of getting flipped. So each would have half the number of flips to be flipped.

Hope that helped!

8 0
2 years ago
It takes 4.5 hours for a ship moving downriver to get from port A to port B. The return journey takes 6.3 hours. The river flows
abruzzese [7]
The speed of the river is ...
.. (40 m/min)*(60 min/h)*((1 km)/(1000 m)) = 2.4 km/h

speed = distance/time
Let d represent the distance between the ports. Let s represent the speed of the ship.
Downstream, we have
.. s +2.4 = d/4.5
.. s = d/4.5 -2.4
Upstream, we have
.. s -2.4 = d/6/3
.. s = d/6.3 +2.4

Now, we have the speed of the ship represented two ways. We assume the speed of the ship doesn't vary. so these are equal.
.. (d/6.3) +2.4 = (d/4.5) -2.4
.. 4.8 = d(1/4.5 -1/6.3) = d(4/63) . . . . . rearrange and simplify
.. 75.6 = d . . . . . . . . . . . . . . . . . . . . . . .multiply by 63/4

The distance between the two ports is 75.6 km.
8 0
3 years ago
Triangle A, B, C, is shown. Angle C, A, B is 70 degrees. Angle A, B, C is 70 degrees.
Xelga [282]

Answer:

40°

Step-by-step explanation:

<CAB=70°

<ABC=70°

<ACB+ <CAB+ <ABC=180(sum of angles in a triangle)

<ACB +70+70=180

<ACB+140=180

<ACB=180-140

<ACB=40°

5 0
3 years ago
Find the solution set. 4x^2+x=3
Zina [86]

Answer:

x=\frac{3}{4},\:x=-1

Keys:

For this problem, you need the quadratic formula(listed below).

  • x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}
  • 1^a=1
  • \sqrt[n]{a}^n=a

When you see ± in a quadratic equation, you must know there is going to be at least 2 solutions.

Step-by-step explanation:

solving for x₁ and x₂

4x^2+x=3\\4x^2+x-3=3-3\\4x^2+x-3=0\\x_{1,\:2}=\frac{-1\pm \sqrt{1^2-4\cdot 4\left(-3\right)}}{2\cdot 4}\\

1^2=1\\=\sqrt{1-4\cdot \:4\left(-3\right)}\\=\sqrt{1+4\cdot \:4\cdot \:3}\\=\sqrt{1+48}\\=\sqrt{49}\\=\sqrt{7^2}\\\sqrt{7^2}=7\\=7

x_{1,\:2}=\frac{-1\pm \:7}{2\cdot \:4}\\x_1=\frac{-1+7}{2\cdot \:4},\:x_2=\frac{-1-7}{2\cdot \:4}\\

solve for x₁

\frac{-1+7}{2\cdot \:4}

=\frac{6}{2\cdot \:4}

=\frac{6}{8}

= \frac{6\div2}{8\div2}

=\frac{3}{4}

solve for x₂

\frac{-1-7}{2\cdot \:4}

=\frac{-8}{2\cdot \:4}

=\frac{-8}{8}

=-\frac{8}{8}

=-1

<em>Hope this helps!</em>

3 0
2 years ago
2 answers and I will vote one brainliest! Please help!
kondor19780726 [428]

Answer:

x = 36 degrees

Step-by-step explanation:

Every Triangle adds up to 180 degrees so in order to solve this we must add together the two angle we know which is

97 + 47 = 144

Then we take this number and we subtract is from 180 to find the third angle

180 - 144 = 36

6 0
3 years ago
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