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Anarel [89]
2 years ago
6

Convert log_8 1=0 into an exponential equation o 1^0=8 O 0^8=1 o '8^0=1 o '8^=8

Mathematics
1 answer:
Ilia_Sergeevich [38]2 years ago
6 0

Given:

The logarithmic equation is:

\log_81=0

To find:

The exponential equation for the given logarithmic equation.

Solution:

We have,

\log_81=0

It can be rewritten as:

8^{\log_81}=8^{0}

Using a^{\log_ax}=x, we get

1=8^0

8^0=1

Therefore, the correct option is C.

You might be interested in
8. A box is filled with candies in different colors. We have 40 white candies, 24 green ones, 12
Darya [45]

Answer:

P(Green\ or\ Red) = 0.30

Step-by-step explanation:

Given

White = 40

Green = 24

Red = 12

Yellow = 24

Blue = 20

Required

P(Green\ or\ Red)

The total numbe of candy is:

Total = 40 + 24 + 12 + 24 + 20

Total = 120

This probability is calculated as:

P(Green\ or\ Red) = P(Green) + P(Red)

For each, we have:

P(Green\ or\ Red) = \frac{Green}{Total} + \frac{Red}{Total}

Take LCM

P(Green\ or\ Red) = \frac{Green+Red}{Total}

P(Green\ or\ Red) = \frac{24+12}{120}

P(Green\ or\ Red) = \frac{36}{120}

P(Green\ or\ Red) = 0.30

8 0
3 years ago
I put a ladder 1.5m away from a tree. the ladder is inclined at 70 degrees about the horizontal. What is the height of the tree?
lyudmila [28]

Answer:

4.121216129m

Step-by-step explanation:

use sohcahtoa

tan(70) x 1.5m = 4.121216129m

8 0
3 years ago
Advertising expenses are a significant component of the cost of goods sold. Listed below is a frequency distribution showing the
Alexxandr [17]

Answer:

Step-by-step explanation:

The table can be computed as:

Advertising Expenses ($ million)     Number of companies

25 up to 35                                                    4

35 up to 45                                                    19

45 up to 55                                                    27

55 up to 65                                                    16

65 up to 75                                                     9

TOTAL                                                            75

Let's find the probabilities first:

P(25 - 35) = P \Big(\dfrac{25-50.93}{10.80}

For 35 up to 45

P(35 - 45) = P \Big(\dfrac{35-50.93}{10.80}

For 45 up to 55

P(45 - 55) = P \Big(\dfrac{45-50.93}{10.80}

For 55 up to 65

P(55 - 65) = P \Big(\dfrac{55-50.93}{10.80}

For 65 up to 75

P(65 - 75) = P \Big(\dfrac{65-50.93}{10.80}

Chi-Square Table can be computed as follows:

Expense   No of   Probabilities(P)  Expe                (O-E)^2   \dfrac{(O-E)^2}{E}

             compa                                 cted E (n*p)

             nies (O)  

25-35           4      0.0612    75*0.0612 = 4.59        0.3481       0.0758

35-45           19     0.2218   75*0.2218 = 16.635     5.5932       0.3362

45-55           27     0.3568   75*0.3568 = 26.76     0.0576      0.021

55-65           16      0.2552   75*0.2552 = 19.14      9.8596      0.5151

65-75           9      0.0839     75*0.0839 = 6.2925   7.331         1.1650

                                                                                           \sum \dfrac{(O-E)^2}{E}= 2.0492                                                                                                      

Using the Chi-square formula:

X^2 = \dfrac{(O-E)^2}{E} \\ \\ Chi-square  \ X^2 = 2.0942

Null hypothesis:

H_o: \text{The population of advertising expenses follows a normal distribution}

Alternative hypothesis:  

H_a: \text{The population of advertising expenses does not follows a normal distribution}

Assume that:

\alpha = 0.02

degree of freedom:

= n-1

= 5 -1

= 4

Critical value from X^2 = 11.667

Decision rule: To reject H_o  \  if \  X^2  test statistics is greater than X^2 tabulated.

Conclusion: Since X^2 = 2.0942 is less than critical value 11.667. Then we fail to reject H_o

6 0
3 years ago
Solve the system of equations.<br> 8.2 + 5y = 24<br> y = -42<br> C =<br> y =
Paul [167]

Answer:

8.2 + 5y = 24 is y = 3.16

y = -42 = 0

c=1

y=1

Step-by-step explanation:

i think these confirm to graphs if i'm wrong just tell me and i'll edit my question.

7 0
3 years ago
ALGEBRA<br> EQUATION<br> PLEASE HELP ASAP<br><br> -3=12y-5(2y-7)
Dovator [93]

Simplify:

−3=12y−5(2y−7)

−3=12y+(−5)(2y)+(−5)(−7)(Distribute)

−3=12y+−10y+35

−3=(12y+−10y)+(35)(Combine Like Terms)

−3=2y+35

Flip the equation.

2y+35=−3

Subtract 35 from both sides.

2y+35−35=−3−35

2y=−38

Divide both sides by 2.

2y/2=−38/2

y=−19


3 0
3 years ago
Read 2 more answers
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