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PIT_PIT [208]
3 years ago
6

Expand the logarithmic expression

Mathematics
2 answers:
Studentka2010 [4]3 years ago
8 0
The mathematical expression of the given above,
                       logb (13/74)^1/2
Distribute the exponent to both numerator and denominator.
                      logb (13^1/2 / 74^1/2)
To simplify, multiply the exponent to the expression and since it is division it may be expressed as difference of two logarithms.
                  (1/2)(logb 13) - (1/2)(log 74)
Slav-nsk [51]3 years ago
4 0

Answer:

 \frac{1}{2}log13-\frac{1}{2}log74 is the expansion of the given logarithmic function.

Step-by-step explanation:

We have been given an expression:

log_b\sqrt{\frac{13}{74}}

Since, we know \sqrt{x}=x^\frac{1}{2}

The given expression can be rewritten as:

log_b(\frac{13}{74})^\frac{1}{2}

Now, using logarithmic property:

log m^n=nlogm so we get:

\frac{1}{2}log_b\frac{13}{74}

Now, using log\frac{m}{n}=logm-logn

Here, m=13 and n=74

\frac{1}{2}log13-\frac{1}{2}log74 is the expansion of the given logarithmic function.

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Answer to this problem <br> 2³×(15-9)+7
Crazy boy [7]

Answer:

The answer is 55.

Step-by-step explanation:

hope this helps

2³×(15-9)+7

=8(15-9)+7

=120-72+7

=48+7

=55

6 0
3 years ago
Read 2 more answers
In 5 minutes a conveyor belt moves 300 pounds of receyclable aluminum from the delievery truck a smaller belt moves the same qua
ladessa [460]

Answer:

It will take 3.214 minutes.

Step-by-step explanation:

<em>It is given that, the conveyor belt transports 300 cans in 5 mins and the smaller belt transports 300 cans in 9 minutes.</em>

Thus , the speed of conveyor belt is,

= \frac{300}{5} = 60 cans per minute

and of smaller belt is,

=  \frac{300}{9} = \frac{100}{3} cans per minute

Thus, when both are used together,

<em>conveyor belt will transport (60)(t) cans and smaller belt will transport ( \frac{100}{3})(t) cans per minute.</em>

Thus the equation becomes,

300 = (60)(t) + (\frac{100}{3})(t) = (\frac{280}{3})(t)

t = \frac{(300)(3)}{280} = \frac{45}{14} = 3.214 minutes

3 0
3 years ago
What is the factored form of 3x^2 + 23x - 36?
alex41 [277]
The factored form is (3x-4)(x+9)
6 0
3 years ago
What is the solution to −1.2b−5.3≥1.9
wel

Answer:

If you want me to solve for b then

b  ≤  − 6





3 0
3 years ago
Read 2 more answers
Please help me- thank you
Kruka [31]

Answer:

a) The profit will be: Profit=y^2-99500

b) Since the profit is -9500 (negative) so, company will not gain any profit if they produce 300 bicycles.

Step-by-step explanation:

Cost of Bicycles= y^2+10y+100,000

Revenue generated = 2y^2+10y+500

Find a polynomial that represent profits

The formula used for finding profit is:

Profit = Total \ Revenue - Total \ Cost\\Profit=  2y^2+10y+500 - (y^2+10y+100,000)\\Profit=  2y^2+10y+500 - y^2-10y-100,000\\Profit=2y^2-y^2+10y-10y+500-100,000\\Profit=y^2-99500

So, the profit will be: Profit=y^2-99500

If the company can produce bicycles y= 300

The profit will be:

Profit=y^2-99500\\Profit=(300)^2-99500\\Profit=90000-99500\\Profit=-9500

Since the profit is -9500 (negative) so, company will not gain any profit if they produce 300 bicycles.

5 0
3 years ago
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