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Dovator [93]
3 years ago
8

Rewrite the expression as an equivalent ratio of logs using the indicated base.log17(52.875) to base 10.

Mathematics
1 answer:
s2008m [1.1K]3 years ago
7 0

Answer:

log_{17}52.875 = log_{10}52.875 : log_{10}17}

Step-by-step explanation:

Given

log_{17}(52.875)

Required

Convert to base 10

To do this, we make use of the following logarithm laws;

log_ba = \frac{log_{10}a}{log_{10}b}

In the given parameters;

a = 52.875

b = 17

Substitute these values in log_ba = \frac{log_{10}a}{log_{10}b}

log_{17}52.875 = \frac{log_{10}52.875}{log_{10}17}

Represent as a ratio

log_{17}52.875 = log_{10}52.875 : log_{10}17}

Hence;

log_{17}(52.875) is represented as log_{17}52.875 = log_{10}52.875 : log_{10}17}

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LiRa [457]

Answer:

5 &x = 14

Step-by-step explanation:

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2 years ago
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What are some real-life situations in which you can use circumference and<br> area of a circle?
shusha [124]

Answer:

You can be remodeling a pool or maybe a kitchen (like for a island or something)

Step-by-step explanation:

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---- PLEASE HELP &lt;3 .. with steps :( &lt;3
Zielflug [23.3K]

1) 6, 18, 54

2) 5/3, 14/9, 41/27

3) 1.5, 2.5, 2.5

Step-by-step explanation:

1)

The function that we have in this problem is

g(x)=3x

We want to find the first 3 iterations.

The initial value is:

x = 2

To find the value of the 1st iteration, we just substitute this value into the expression of the function, and we get:

g_1(x)=3x=3\cdot 2 = 6

The to find the value of the 2nd iteration, we just substitute this value into the expression of the function, and we get:

g_2(x)=3\cdot g_1(x)=3\cdot 6 = 18

Finally, the 3rd iteraction is given by:

g_3(x)=3g_2(x)=3\cdot 18=54

2)

Here in this problem the function that we have to use is

g(x)=\frac{1}{3}x+1

The initial value is

x=2

So the first iteration is given by

g_1(x)=\frac{1}{3}\cdot 2 + 1 = \frac{5}{3}

To find the 2nd iteration, we substitute this value into g(x) again:

g_2(x)=\frac{1}{3}g_1+1=\frac{1}{3}\cdot \frac{5}{3}+1=\frac{5}{9}+1=\frac{14}{9}

Finally, to find the 3rd iteration, we substitute this value into g(x) again:

g_3(x)=\frac{1}{3}\cdot \frac{14}{9}+1=\frac{14}{27}+1=\frac{41}{27}

3)

The function in this problem is

g(x)=-|x-2|+3

The initial value is

x = 0.5

So, the first iteration is:

g_1(x)=-1|0.5-2|+3=-1|-1.5|+3=-1\cdot 1.5 +3=-1.5+3=1.5

The second iteration is given by

g_2(x)=-|g_1-2|+3=-|1.5-2|+3=--0.5+3=2.5

Finally, the 3rd iteration is

g_3(x)=-|g_2-2|+3=-|2.5-2|+3=-0.5+3=2.5

5 0
3 years ago
What is up guys!
melisa1 [442]

Answer:

  • Yes, No, Yes

Step-by-step explanation:

<u>Use the Pythagorean theorem:</u>

  • a² + b² = c²

<u>Verify this for each line:</u>

1.

  • 28² + 45² = 53²
  • 2809 = 2809
  • Yes

2.

  • 33² + 56² = 64²
  • 4225 ≠ 4096
  • No

3.

  • 36² + 77² = 85²
  • 7225 = 7225
  • Yes
5 0
2 years ago
What value of x will make the given triangles congruent?
Molodets [167]
Because you're trying to make them congruent, equal the two expressions to each other. 

So, for #10 you would equal them so it would look like this. 
2x+2=5x-19

Then you would just go ahead and simplify

2x+2=5x-19
-2x     -2x
---------------
2= 3x -19
+19    +19
---------------
21=3x
---  ----
3     3

x=7

This means that x should be 7. You can check this just by plugging it in

2x+2
2(7)+2 = 16

5x-19
5(7)-19= 16

Same with #11.

x+8=3x-14
-x     -x
--------------
8=2x-14
+14   +14
--------------
22=2x
---  ----
2     2

x=11

Check. 

x+8
11+8= 19

3x-14
3(11) - 14 = 19
6 0
3 years ago
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