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2 years ago

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Demola is two years older than Deji and Tobi is half of Demola's age. The sum of their ages is 23. How old is Deji

1 answer:

ella [17]2 years ago

7 0

answer is in the picture

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Can someone help answer and explain to me how to solve this? log (lowercase 6) 1/36

MissTica

Answer: The log simplifies to -2

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Explanation:

We will use the log rule that log(x^y) = y*log(x). Call this log rule 1. This log rule basically allows us to pull the exponent down.

Another log rule that we will use is $\log_x\left(x\right) = 1$ where x is any positive real number but x = 1 is NOT allowed. Call this log rule 2.

Because 36 = 6^2, this means that 1/36 = 6^(-2)

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So,

$\log_6\left(\frac{1}{36}\right)=\log_6\left(\frac{1}{6^2}\right)$

$\log_6\left(\frac{1}{36}\right)=\log_6\left(6^{-2}\right)$

$\log_6\left(\frac{1}{36}\right)=-2*\log_6\left(6\right)$ Use log rule 1 (see above)

$\log_6\left(\frac{1}{36}\right)=-2*1$ Use log rule 2 (see above)

$\log_6\left(\frac{1}{36}\right)=-2$

This means that the given expression simplifies to -2

You can use a calculator to type in "log(1/36)/log(6)" without quotes and you should get -2 as the answer

6 0

3 years ago

Read 2 more answers

The table below shows the amount Amelia earned babysitting. Find the rate of change

IceJOKER [234]

Answer:

1 : 8

Step-by-step explanation:

6 0

2 years ago

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A fulcrum moving a resistance of 200 g has a distance to the fulcrum of 20 cm, the effort mass of 50 g has a distance to the ful

S_A_V [24]

Answer:

The ideal mechanical advantage (IMA) is $4$ .

Step-by-step explanation:

The ideal mechanical advantage is the ratio of length of longer lever $L_e$ to that of shorter lever $L_r$

IMA $\frac{L_e}{L_r}$

Please refer to the image attached.

We could see that the the resistance load moves $10\ cm$ cm towards the fulcrum so the distance of resistance load from fulcrum $= (20-10) =10\ cm$

Now the as the effort force moves $40\ cm$ towards the fulcrum overall distance from the fulcrum to the effort force (load) $=(80-40)=40\ cm$

Plugging the values of the distances in IMA formula we can have.

IMA $=\frac{(80-40)}{(20-10)} =\frac{40}{10} =4$ .

So the IMA of the fulcrum (simple machine) $= 4$

3 0

3 years ago

Rewrite the equation by completing the squares x^2-x-20

yuradex [85]

Answer: x = ¹/₂ ± √⁸¹

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2

Step-by-step explanation:

First write out the equation

x² - x - 20

Now we now write the equation by equating to 0

x² - x - 20 = 0

We now move 20 to the other side of the equation. So

x² - x = 20,

We now add to both side of the equation square of the half the coefficient of the (x) and not (x²) which is (1) . So, the equation now becomes

x² - x + ( ¹/₂ )² = 20 + ( ¹/₂ )²

x² - ( ¹/₂ )² = 20 + ¹/₄

( x - ¹/₂ )² = 20 + ¹/₄, we now resolve the right hand side expression into fraction

( x - ¹/₂ )² = ⁸¹/₄ when the LCM is made 4

Taking the square root of both side to remove the square,we now have

x - ¹/₂ = √⁸¹/₄

x - ¹/₂ = √⁸¹/₂

Therefore,

x = ¹/₂ ± √⁸¹

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2

3 0

3 years ago

What is the area of the trapezoid?<br><br><br> 91 in 2<br> 182 in. 2<br> 140 in 2<br> 120 in. 2

mihalych1998 [28]

Answer: 91

Step-by-step explanation:

the equation to find the area of a trapezoid is as follows:

A = (a+b)/2h

So A = 6+20 which is 26

then you divide 26 by two which gives you 13, then multiply by 7

3 0

2 years ago