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user100 [1]
3 years ago
11

62 is 90.5% of what number? _ Round to the nearest tenth.

Mathematics
1 answer:
Nuetrik [128]3 years ago
4 0
About 68.5. Hope this helps :)
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How does adding the log together automatically mean that it is a factorial?
andreyandreev [35.5K]

Answer: The answer is given below.

Step-by-step explanation:  We are given an equality involving logarithm and we are to show the implication of L.H.S. to R.H.S.

We will be using the following two properties of logarithm:

(i)~\log_ba=\dfrac{1}{\log_ab},\\\\\\(ii)~log_ab+\log_ac=\log_a(bc).

The proof is as follows:

L.H.S.\\\\\\=\dfrac{1}{\log_2N}+\dfrac{1}{\log_3N}+\dfrac{1}{\log_4N}+\cdots+\dfrac{1}{\log_{100}N}\\\\\\=\log_N2+\logN3+\log_N4+\cdots+\log_N100\\\\=\log_N\{2.3.4...100\}\\\\=\log_N\{1.2.3.4...100\}\\\\=\log_N{100!}\\\\=\dfrac{1}{\log_{100!}N}\\\\=R.H.S.

Hence proved.

6 0
3 years ago
What is the value of y in the equation 2 + y = −3?<br> -1<br> -5<br> 1<br> 5
Thepotemich [5.8K]
To do this subtract 2 from each side of the equation to get y = -5, so the value of y in this is -5. Hope this helps!
7 0
3 years ago
1. In the figure below ABC∡=153°, ABD∢=(5x+5)°, and DBC∢=(3x+12)°. Find the measure of ABD∢ and DBC∢. Show all work
vodka [1.7K]

By angle addition postulate,

m(∠ABD) + m(∠DBC) = m(∠ABC)

Now substitute the values of each angle,

(5x + 5)° + (3x + 12)° = 153°

Combine like terms of the expression,

(5x + 3x) + (5 + 12) = 153

8x + 17 = 153

8x = 153 - 17

x = \frac{136}{8}

x = 17

Substitute the value of 'x' to get the measure of each angle,

m(∠ABD) = (5x + 5)

                = 5(17) + 5

                = 90°

m(∠DBC) = (3x + 12)

                = 3(17) + 12

                = 63°

Learn more,

brainly.com/question/4838302

8 0
2 years ago
The side lengths of four triangles are listed below.
german

Answer:

C  and D

Step-by-step explanation:

Use Pythagorean theorem to test

a^2 + b^2 = c^2    ?      a   and b  are the shorter two sides   c = longest side

Doing this for each data set shows   C   and D   ARE rt triangles

6 0
2 years ago
What is 'b' in this linear equation? y= 5x - 6​
LUCKY_DIMON [66]

Answer:

B is -6.

Step-by-step explanation:

y=mx+b

6 is negative and is in the place of the y intercept (b)

3 0
2 years ago
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