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3 years ago

How does the value of log 100 compare with the value of log 20?

Mathematics

2 answers:

Volgvan3 years ago

5 0

Answer:

Option 3

Step-by-step explanation:

Dvinal [7]3 years ago

3 0

Answer:

option A

Step-by-step explanation:

log_2(100)

we can simplify it

we can use base change formula

log_2 (100)=\frac{ln\left(100\right)}{ln\left(2\right)}

log_2 (100)=6.643856

Second value is :

log_6(20)

we can simplify it

we can use base change formula

log_6(20)=\frac{ln\left(20\right)}{ln\left(6\right)}

log_6(20)=1.67195

so, we know that

6.6438 is almost 4 times of 1.67195

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A car was moving 15 meters in 20 seconds how fast was it moving

Umnica [9.8K]

Answer:

The car was moving 0.75 meters per second.

Step-by-step explanation:

The answer is 0.75 because 15 divided by 20 is 0.75

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3 years ago

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Find the oth term of the geometric sequence 7, 14, 28, ...

yaroslaw [1]

Answer:

The nth term of the geometric sequence 7, 14, 28, ... is:

$a_n=7\cdot \:2^{n-1}$

Step-by-step explanation:

Given the geometric sequence

7, 14, 28, ...

We know that a geometric sequence has a constant ratio 'r' and is defined by

$a_n=a_1\cdot r^{n-1}$

where a₁ is the first term and r is the common ratio

Computing the ratios of all the adjacent terms

$\frac{14}{7}=2,\:\quad \frac{28}{14}=2$

The ratio of all the adjacent terms is the same and equal to

$r=2$

now substituting r = 2 and a₁ = 7 in the nth term

$a_n=a_1\cdot r^{n-1}$

$a_n=7\cdot \:2^{n-1}$

Therefore, the nth term of the geometric sequence 7, 14, 28, ... is:

$a_n=7\cdot \:2^{n-1}$

6 0

3 years ago

Fill in the blanks to show the steps in solving the inequality -2x + 12<-4

professor190 [17]

-2x + 12 < - 4......subtract 12 from both sides
-2x + 12 - 12 < -4 - 12....simplify
-2x < -16...divide both sides by -2, changing the inequality sign
(-2/-2)x > -16/-2....simplify
x > 8

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3 years ago

Which value must be added to the expression x^2+12x to make it a perfect square trinomial a:6 b:36 c:72 d:144

Ksivusya [100]

The answer would be 36. Why?

Because in the equation we would need to do (x + 6)(x + 6) to get a perfect square trinomial.

And 6 * 6 is 36.

So the whole equation would be: x^2 + 12 + 36.

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slamgirl [31]

Answer:

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Step-by-step explanation:

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3 years ago

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