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fgiga [73]
3 years ago
14

1/2 s + 3/4 s + 1/4 s + 4

Mathematics
2 answers:
Natalka [10]3 years ago
5 0

Answer:

3/2 + 4

Step-by-step explanation:

1/2+3/4+1/4= 3/2s

3/2s+4

Doss [256]3 years ago
4 0

1/2 s + 3/4 s + 1/4 s + 4

((2+3+1)/4)s +4

6/4 s + 4

3/2 s + 4

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HELLOOOO HELP PLEASE
MA_775_DIABLO [31]

Answer:

2*log(x)+log(y)

Step-by-step explanation:

So, there are two logarithmic identities you're going to need to know.

<em>Logarithm of a power</em>:

   log_ba^c=c*log_ba

   So to provide a quick proof and intuition as to why this works, let's consider the following logarithm: log_ba=x\implies b^x=a

   Now if we raise both sides to the power of c, we get the following equation: (b^x)^c=a^c

   Using the exponential identity: (x^a)^c=x^{a*c}

    We get the equation: b^{xc}=a^c

    If we convert this back into logarithmic form we get: log_ba^c=x*c

    Since x was the basic logarithm we started with, we substitute it back in, to get the equation: log_ba^c=c*log_ba

Now the second logarithmic property you need to know is

<em>The Logarithm of a Product</em>:

    log_b{ac}=log_ba+log_bc

    Now for a quick proof, let's just say: x=log_ba\text{ and }y=log_bc

    Now rewriting them both in exponential form, we get the equations:

    b^x=a\\b^y=c

    We can multiply a * c, and since b^x = a, and b^y = c, we can substitute that in for a * c, to get the following equation:

    b^x*b^y=a*c

   Using the exponential identity: x^{a}*x^b=x^{a+b}, we can rewrite the equation as:

 

   b^{x+y}=ac

   taking the logarithm of both sides, we get:

   log_bac=x+y

   Since x and y are just the logarithms we started with, we can substitute them back in to get: log_bac=log_ba+log_bc

Now let's use these identities to rewrite the equation you gave

log(x^2y)

As you can see, this is a log of products, so we can separate it into two logarithms (with the same base)

log(x^2)+log(y)

Now using the logarithm of a power to rewrite the log(x^2) we get:

2*log(x)+log(y)

3 0
2 years ago
Two x subtracted by eight<br> 2x + 8
tatiyna

Answer:

(2x-8)(2x+8)

4x squared -64 is the answer

how you get it is by multiplying 2x times 2x to get 4x squared and -8 times 8 =    -64

hope this helps

if this is algebra 1 then this is right

5 0
3 years ago
Jay went to an amusement park. the park charges an entrance fee of $10.50 and $4.50 for every ride. jay spent $46.50 on entrance
Illusion [34]

The function that can be used to find the number of rides Jay went on is, <u>f(x) = 4.5x + 10 = 46.5</u>. Hence, the <u>first option</u> is the right choice.

Also, on solving the function we get that, Jay went on <u>8 rides</u>.

We assume the number of rides Jay spent to be x.

The cost of each ride is given to be $4.50.

Thus, the total amount Jay spent on rides = $4.50x.

The entrance fee to the park is given to be $10.50.

Thus, the total expenditure of Jay can be shown as $(4.5x + 10.5).

But, in the question we are given that Jay spend $46.50 altogether.

Thus, the function to find the number of rides Jay went on can be shown as:

f(x) = 4.5x + 10 = 46.5.

Hence, the first option is the right choice.

To find the number of rides he went, we can solve this function as:

4.5x + 10 = 46.5,

or, 4.5x = 46.5 - 10.5 = 36,

or, x = 36/4.5 = 8.

Thus, Jay went on 8 rides.

Learn more about functions at

brainly.com/question/6073787

#SPJ4

6 0
2 years ago
The 67 is between which of the following integers?
Vlad1618 [11]

Answer:

8 and 9

Step-by-step explanation:

8² = 64, and 9² = 81. Equivalently, √64 = 8 and √81 = 9. Since 67 is between 64 and 81, √67 must be between 8 and 9.

4 0
3 years ago
#3 is the tough one for me I get it but I don't can you help me and tell me how you got that answer as soon as possible.
Bas_tet [7]
1) 2 minutes  = 2 x 60 = 120 seconds
2) 1500 meters per second x 120 seconds = 180 000 meters = 180 km

7 0
3 years ago
Read 2 more answers
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