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anzhelika [568]
3 years ago
7

Use the change of base formula to evaluate log3(73).

Mathematics
1 answer:
Marrrta [24]3 years ago
3 0
The change of base formula allows you to write a logarithm in terms of logarithms with another base. It follows this pattern,

log_{a}x =  \frac{ log_{b}x }{log_{b}a }

where a≠1 and b≠1

Assigning the base to be 7,

log_{3}73 = \frac{ log_{7}73 }{log_{7}3 }=3.9


I hope I was able to answer your question. Have a good day.
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sara found a pair of jeans that was originally marked 85.00 but now have a clearance sticker for 54.50 what percent were the jea
Y_Kistochka [10]
U have to subtract from 85.00 from 54.00
5 0
2 years ago
Explain how you can tell if a rational expression is in simplest form. Include an example with your explanation.
yan [13]
The  numerator and denominators will  have no common factors.

For example 4/6 is not in its simplest form  because  both 4 and 6 can be divided by 2.  In simplest form this will be 2/3.
7 0
2 years ago
Here are the heights (in inches) of 12 students in a seminar.
Gala2k [10]

Answer: 75%

Step-by-step explanation:

Height given :

69, 62, 73, 67, 63, 65, 73, 71, 70, 66, 59, 75

The total number of height given = 12

The height less than 73 are 69 , 62, 67 ,63 , 65 , 71 , 70 , 66 , 59

The total number of heights less than 73 = 9

Therefore : the percentage of these students who are shorter than 73 inches = total number of students shorter than 73/ total number of height x 100

= 9/12 x 100

= 75%

5 0
3 years ago
Sandra knows the Pythagorean identity sin 2 ⁡ θ + cos 2 ⁡ θ = 1 . If she is told that 0 ≤ θ ≤ π 2 and cos ⁡ θ = 5 12, what will
slavikrds [6]

Answer:

\text{tan}(\theta)=\frac{\sqrt{119}}{5}

Step-by-step explanation:

We have been given that Sandra knows the Pythagorean identity \text{sin}^2(\theta)+\text{cos}^2(\theta)=1. She is told that 0\leq \theta\leq \frac{\pi}{2} and \text{cos}(\theta)=\frac{5}{12}.

First of all, we will find value of sine theta using the given identity.

\text{sin}^2(\theta)+\text{cos}^2(\theta)=1

\text{sin}^2(\theta)+(\frac{5}{12})^2=1

\text{sin}^2(\theta)+\frac{25}{144}=1

\text{sin}^2(\theta)+\frac{25}{144}-\frac{25}{144}=1-\frac{25}{144}

\text{sin}^2(\theta)=\frac{144-25}{144}

\text{sin}^2(\theta)=\frac{119}{144}

\text{sin}(\theta)=\sqrt{\frac{119}{144}}

\text{sin}(\theta)=\frac{\sqrt{119}}{12}  

\text{tan}(\theta)=\frac{\text{sin}(\theta)}{\text{cos}(\theta)}

\text{tan}(\theta)=\frac{\frac{\sqrt{119}}{12}}{\frac{5}{12}}

\text{tan}(\theta)=\frac{\sqrt{119}*12}{5*12}=\frac{\sqrt{119}}{5}

Therefore, \text{tan}(\theta)=\frac{\sqrt{119}}{5}.

5 0
3 years ago
If you are asked to rotate 270° counterclockwise that's the same as rotating what other angle of rotation and direction?
mr Goodwill [35]

Answer:

90° clockwise

Step-by-step explanation:

90 degrees clockwise

when you rotate counterclockwise 270 degrees, (x,y) maps to (y,-x)

<u>Hope this helps :-)</u>

4 0
3 years ago
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