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Evgesh-ka [11]
3 years ago
15

How do I solve these problems?

Mathematics
1 answer:
lesya [120]3 years ago
5 0

Domain:\\D:x > 0\\\\\ln x=5.6+\ln(7.5)\ \ \ \ |-\ln(7.5)\\\\\ln x-\ln7.5=5.6\ \ \ |Use\ \log x-\log y=\log\dfrac{x}{y}\\\\\ln\dfrac{x}{7.5}=5.6\ \ \ \ |use\ \log_ab=c\iff a^c=b\\\\\dfrac{x}{7.5}=e^{5.6}\ \ \ \ |\cdot7.5\\\\\boxed{x=7.5e^{5.6}}\in D

\log x=5.6-\log7.5\ \ \ \ |+\log7.5\\\\\log x+\log7.5=5.6\ \ \ \ |use\ \log x+\log y=\log (xy)\\\\\log(7.5x)=5.6\ \ \ \ |use\ \log_ab=c\iff a^c=b\\\\7.5x=10^{5.6}\ \ \ \ |:7.5\\\\\boxed{x=\dfrac{10^{5.6}}{7.5}}\in D

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I need help asap!!!!!!!!! like 10 mins theres a pic
TEA [102]

Answer:

<em>The answer to your question is Domain is 2. Then the range is 4..</em>

Have a wonderful day, and I hopes it helps! I wasn't exactly sure about my answer, but I'm sure that it is right! ^^'

8 0
3 years ago
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A student is given the task of buying 100 ballpoint pens with $100. She must buy at least one $10 pen, at least one $3 pen, and
jarptica [38.1K]

Answer:

The correct answer is 5, $10 pens; 1, $3 pen; 94, 50 cents pens.

Step-by-step explanation:

A student has to buy 100 ball point pens and she has $100 to get the job done.

Price of three different pens are $10, $3 and 50 cents or $0.5.

Let the student buy x number of $10 pens and y number of $3 pens. Number of 50 cents pens bought by the student is 100 - x - y. ( x,y \geq 1)

Total amount spent is 10x + 3y + 0.5(100 - x - y) = 100

⇒ 9.5x + 2.5y + 50 = 100

⇒ 1.9x + 0.5y = 10

⇒ 19x + 5y =100

Value of x (in order to hold the equality where both x and y are positive and greater than 1) is 5 and y is 1.

Total number of 50 cents pen bought is 94.

Thus the student buys 5, $10 pens; 1, $3 pen and 94, 50 cents pens.

4 0
3 years ago
Which of the following is a correct interpretation of the expression -4 + 13? A. the number that is 4 to the left of -13 on the
svetoff [14.1K]

Answer:

The answer is D the number that is 13 to the right of -4 on the number line.

Step-by-step explanation:

4 0
4 years ago
A car travels 45 miles on 1 gallon of gas. the car uses 10 gallons of gas how many miles it does travel.
Sav [38]

Answer:

450 miles

Step-by-step explanation:

5 0
3 years ago
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While in Europe, if you drive 123 km per day, how much money would you spend on gas in one week if gas costs 1.10 euros per lite
Leona [35]
First, you drive 123km per day, and they ask for in a week.
There are 7 days in a week, we have to multiply 123 by 7, which equals 861.
=km per week 861
Now, we need to find out how much cost the gas. Gas cost 1.10 euros per-liter, and this problem wants us to assume that 1euro = 1.26 dollars.
 
So, we divide 1.10 by 1.26 which is 0.87.
=gas cost 0.87 per liter.

Next, this person goes 31.0 mi/gal per stop.
To get the answer we need to divide 861 the full distance in a week and divide it by how many stops nee to be made which is each 31 mi/gal.

So, 861/31 = 27.77 and now we times 0.87 by 27.77 to get gas cost.
=24.16
6 0
4 years ago
Read 2 more answers
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