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Gemiola [76]
2 years ago
12

What is the logarithmic formula 10000= 625/8*2^t ?

Mathematics
1 answer:
Elodia [21]2 years ago
8 0

9514 1404 393

Answer:

     log(128) = t·log(2)

Step-by-step explanation:

You can take logarithms the way the formula is, or you can simplify it first.

<u>As is</u>

  log(10000) = log(625) -log(8) +t·log(2)

__

<u>Simplified</u>

  8·10000/625 = 2^t . . . . . multiply by 8/625

  128 = 2^t

  log(128) = t·log(2)

_____

Solution:

  t = log(128)/log(2) = 7

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ASAP please it’s very important
zaharov [31]

Answer:

x = 30° and 330°

Step-by-step explanation:

Assuming the intervals is {0 , 2π} or {0° , 360°}

tan\ x=\frac{-\sqrt{3} }{3} \\\\x=tan^{-1} (\frac{-\sqrt{3} }{3})\\\\x = -30

So it means it lies in the 2nd and 4th quadrant because tangent is negative in the 2nd and 4th quadrant

so the two solutions are

x = 30° and 330° or

x=\frac{\pi }{6}\ radians\ \ , \ \ \frac{11\pi }{6}\ radians

4 0
3 years ago
To approximate the number of bees in a hive, multiply the number of bees that leave the hive in one minute by 3 and divide by 0.
AlekseyPX

Answer:

There are about 5,357 bees in the hive

Step-by-step explanation:

Let

x ----->  the number of bees that leave the hive in one minute

y -----> the approximate number of bees in a hive

we know that

The formula to calculate the approximate number of bees in a hive is equal to

y=\frac{3x}{0.014}

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substitute

y=\frac{3(25)}{0.014}

y=5,357\ bees

therefore

There are about 5,357 bees in the hive

6 0
3 years ago
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Mrac [35]

Answer:

Step-by-step explanation:

5 0
2 years ago
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The sum of two numbers is ten. the difference between them is 8 . find the two numbers
alexira [117]

x+y=10

x-y=8, x=y+8

y+8+y=10

2y=2

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So, x=10-y=10-1=9.

Numbers Would be 9 and 1.


3 0
3 years ago
Which values of m and b will create a system of equations with no solution? choose 1 options.
hichkok12 [17]

Answer:

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y = -2x + 1

 

Then any equation of the form y = -2x + b, b≠1 will create a system with no solution.  Hence the values of m and b are m = -2, b ≠ 1.

5 0
2 years ago
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