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Zigmanuir [339]
4 years ago
14

Rewrite as a quotient of two base- 5 logarithms. Write your answer in simplest form. log 9 =

Mathematics
1 answer:
const2013 [10]4 years ago
6 0
\log(9)=\log_{10}(9)=\dfrac{\log_{5}(9)}{\log_{5}(10)}

In my opinion, that is the simplest form. However, your teacher may want you to remove powers and factors of 5. In that case, the result is ...

=\dfrac{\log_{5}(3^{2})}{\log_{5}(5\cdot 2)}=\dfrac{2\log_{5}(3)}{1+\log_{5}(2)}
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a circle with radious of 1cm sits inside a 11cm times 12 cm rectangle what is the area of the shaded region
Nitella [24]

Answer: 128.86cm²

Step-by-step explanation:

The circle is inscribed in the rectangle. To find the shaded portion, subtract he area of the circle from the are of the rectangle.

Area of the rectangle                                  =  11 x 12

                                                                     =  132cm²

Area of the circle with radius of 1cm          =  πr²

                                                                     = 3.142 x 1²

                                                                     = 3.142cm²

Therefore , area of the shaded  region      = 132cm²  -  3.142cm²

                                                                    = 128.86cm²

7 0
3 years ago
Read 2 more answers
A simple random sample of 100 batteries is selected from a process that produces batteries with a mean lifetime of 32 hours and
Brrunno [24]

Answer:

.b. It is one‐half as large as when n = 100.

Step-by-step explanation:

Given that a  simple random sample of 100 batteries is selected from a process that produces batteries with a mean lifetime of 32 hours and a standard deviation of 3 hours.

i.e. s = 0.3

we obtain se of sample by dividing std devitation by the square root of sample size

i.e. s= \frac{3}{\sqrt{n} }

when n =100 this = 0.3 and

when n =400 this equals 0.15

We find that when sample size is four times as large as original, std deviation becomes 1/2 of the original

Correction option is

.b. It is one‐half as large as when n = 100.

7 0
4 years ago
Is 12.54 greater than 12.539?
Damm [24]

Answer:

yes

Step-by-step explanation:

12.54

>

12.53

reason why is because of the 4>5

8 0
3 years ago
Read 2 more answers
If 42 students were born in a state other than Texas, how many students does Mrs. Vy have in all her classes
Tanya [424]

Answer:

58

Step-by-step explanation:

7 0
3 years ago
In a dilation with a scale factor of 3/4,the image is __________ the preimage
3241004551 [841]
I would say smaller than because you would be dilating the image by a number less than 1, which is making the image smaller.
3 0
3 years ago
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