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k0ka [10]
3 years ago
10

Pls help. Question above

Mathematics
2 answers:
noname [10]3 years ago
8 0

Answer:

m =  \frac{5}{2}

Step-by-step explanation:

Here are the laws which would be used in this question:

<u>Indices:</u>

• \sqrt{a}  =   {a}^{ \frac{1}{2} }

• \frac{1}{a}  =  {a}^{ - 1}

<u>Logarithm</u>

• log_{a}( {x}^{n} )  = n log_{a}(x)

log_{m}( \sqrt{2} )  +  log_{m}(8)  +  log_{m}( \frac{1}{2} )

=  log_{m}( {2}^{ \frac{1}{2} } )  +  log_{m}( {2}^{3} )  +  log_{m}( {2}^{ - 1} )

=  \frac{1}{2}  log_{m}(2)  + 3 log_{m}(2)   -  log_{m}(2)

=  \frac{5}{2}  log_{m}(2)

GrogVix [38]3 years ago
6 0
What is this type of math called please and what year/grade if you don’t mind me asking so I can be prepared
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Zolol [24]
A.  The ratio of lynx to mountain lions to wolverines is 2:3:1.

Thus, there are 2 lynx in the ratio.  If there were 6 lynx, we would have to multiply all of the numbers in the ratio by 3 (because 6/2 = 3) to keep the ratio in the same proportion.  

Therefore, because there is 1 wolverine in the ratio, and 1 * 3 = 3, if there were 6 lynx, there would be 3 wolverines.

b. We can use the same ideas that we had in part a to help us in part b.
There are 3 mountain lions in the ratio, but there are 15 mountain lions in the problem.  Thus, the multiplier is 5, because 15/3=5.

Therefore, because there are 2 lynx in the ratio, and 2*5 = 10, if there were 15 mountain lions, there would be 10 lynx.

c.  There is one wolverine in the ratio, but there are 10 wolverines in the problem.  Thus, the multiplier is 10, because 10/1 = 10

Therefore, because there are 3 mountain lions in the ratio, and 3 * 10 = 30, if there were 10 wolverines in the park, then there would be 30 mountain lions.

d.  The total number of lynx, mountain lions, and wolverines is 30.
To find out how many of each animal there should be, we must make an equation using the ratio and the variable x. 

2x + 3x + 1x = 30

This equation means that the total number of animals together is 30, which is true.  Now let's simplify by combining like terms.

6x = 30

Finally, we can simplify by dividing both sides by the coefficient of x, or 6.

x = 5

Thus, going back to our original equation, we know that the amount of lynx is 2x, mountain lions is 3x, and wolverines is 1x.

Lynx = 2x = 2(5) = 10 lynx
Mountain Lion = 3x = 3(5) = 15 mountain lions
Wolverines = 1x = 1(5) = 5 wolverines

Hope this helps! :)

7 0
3 years ago
Which of the following represents the set of integers greater than or equal to -5?
Ann [662]
<span>B. {-5,-4,-3…. }
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3 years ago
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Which of the following correctly rearranged the equation to represent solution for x in terms of y and a
Maksim231197 [3]

x=\frac{y-5}{a}

6 0
2 years ago
The area of the triangle below is 10.6 square centimeters. What is the length of the
CaHeK987 [17]

Answer:

6 cm

Step-by-step explanation:

The area of a triangle is \frac{bh}{2} = A, where b = base, h = height, and A = area. In this case, we're given the height as 4 cm and the area as 6 cm^2.

Let's plug in these values.

  • \frac{4b}{2} = 6

Now, let's solve this algebraically.

Step 1: Multiply both sides by 2.

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Step 2: Divide both sides by 4.

  • \frac{4b}{4} = \frac{12}{4}
  • b = 3

Step 3: Check if solution is correct.

  • \frac{3*4}{2} = 6
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  • 6 = 6

Therefore, the base is 6 cm. (but don't put the cm in the box because it's already there)

Have a lovely rest of your day/night, and good luck with your assignments! ♡

3 0
2 years ago
Olympia ate lunch at a restaurant. The amount of her check was $6. 89. She left $8. 00 on the table, which included the amount s
Evgesh-ka [11]

Answer:

a.6.89 + t = 8.00

Step-by-step explanation: i took the quiz

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