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IrinaVladis [17]
3 years ago
8

Fill the missing values to make the equations true.

Mathematics
1 answer:
taurus [48]3 years ago
3 0
Logarithm properties:

\displaystyle \log_a b+\log_a c=\log_a (b\cdot c)\\\\\log_ab-\log_a c=\log_a \left( \frac{b}{c} \right)\\\\\log_{a^p}b^q= \frac{q}{p} \log_a b

According to this, we can get:

\displaystyle a)\log_7 3+\log_7 8=\log_7 (3\cdot 8)=\log_724\\\\b) \log_89-\log_85=\log_8  \frac{9}{5}\\\\c)\log_325=2\log_35
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Bob and rob in ratio 3:4 and their age 4 years ago was 5:7 find their ages
Trava [24]

Answer:

Present Day:

Bob:Rob:Difference

 3   :  4  :        1

 6   : 12  :       2

4 years ago:

Bob:Rob:Difference

    5 : 7 : 2

6 0
3 years ago
The sketch shows the distance three runners travel during a race. Describe what occurs at times A,B,C and D. In what order do th
goldfiish [28.3K]

Answer:

Notice that the distance is in the y-axis, and the time in the x-axis.

First, let's see what happens in the four points:

A) You can see that in point A, the steepness of the line increases, this means that the speed of the runner increases in that point.

B) In this point, the runner that increased his/her speed in point A crosses the graph of another runner, this means that they are at the same distance to the end and at the same time.

C) In this point again two runners are at the same distance and the same time, and we also can see that the runer that increased his/her speed at point A, now has reached the end of the race (because his line stops increasing, wich means that he/she already finished the race)

D) The las runner finishes the race at point D.

Then the first runner that finishes the race is the one with the shorter graph (shorter graph means that he ran for less time than the others, wich means that he/she finished first)

The last runner is the one that finished at point D,

The middle one finishes right after the point C.

6 0
3 years ago
48.657 round to the nearest hundredth
KatRina [158]
The answer is 48.66, as the hundreth place is the 5, but you must round it up to a 6 since the 7 is larger than 5
5 0
4 years ago
Read 2 more answers
What is the area in square units of triangle ABC<br> if a = 32, b = 19, and C = 55°?
sergeinik [125]

Answer: 249 m^2

Step-by-step explanation:

7 0
3 years ago
HELPP ASAP I WILL GIVE 14 POINTS
jek_recluse [69]

Given:

A box-and-whisker plot of data set.

To find:

The percentage of the data values that are greater than 80.

Solution:

From the given box-and-whisker plot, it is clear that:

Minimum value = 8

First quartile = 60

Median = 68

Third quartile = 80

Maximum value = 92

We know that the 25% the data value are greater than or equal to third quartile because the third quartile divides the data in 75% to 25% and 80 is the third quartile.

Therefore, about 25% of the data values that are greater than 80.

5 0
3 years ago
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