Solve equation e^{2x} + 2e^{x} −3 = 0

Answers

Answer 1

Answer: $e^(2x)+2e^x-3=0\n\n\underbrace{\left(e^x\right)^2+2e^x\cdot1+1^2}_((*))-1^2-3=0\n\n(e^x+1)^2-1-3=0\n\n(e^x+1)^2-4=0\n\n(e^x+1)^2=4\iff e^x+1=\sqrt4\to e^x+1=2\n\ne^x=2-1\n\ne^x=1\n\ne^x=e^0\iff x=0$

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You have been contracted to replace a countertop in a kitchen. You will get paid $1,000 to do the job. You can complete the job in three days working 8 hours a day. You will need to pay the cost of the materials, which is $525, with the $1,000 that you receive to do the job. How much will you be paid per hour for your time?

Answers

Answer:

$19.79 cents (rounded to the nearest cent)

Step-by-step explanation:

first subtract the amount needed for materials from your total pay

(1000 - 525 = 475)

take 475 and divide that among the hours you work.

475 / 24 = 19.7916666

round that number to the closest money value

19.79

Which is the correct graph of the equation y=-1/3x+5

Answers

Answer:

x=15 i think but im pretty sure

Step-by-step explanation:

The following table shows the number of medals won in the 2008 Olympics for swimming by the top five countries.Country
Number of Medals
USA
31
Australia
20
Great Britain
6
China
6
France
6
How many degrees will the Australia section be in a circle graph of this data?
52
20°
29°
104

Answers

Answer:

I believe it is 104 degrees.

Step by Step: First, You add all the medals for all the countries, giving you 69. Then, you make Australia's medals a fraction of 69, so 20/69. After this, since a circle has 360 degrees, you make x/360 and cross multiply. This takes you to 69x=7200. Now divide 7200 by 69, which gets you 104.347, or 104 degrees.

Answer:

104 deg

Step-by-step explanation:

Total number of medals: 31 + 20 + 6 +6 + 6 = 69

Number of Australian medals: 20

Fraction of total medals won by Australia: 20/69

A circle has a total of 360 deg.

Since Australia has 20/69 of the medals, it will have 20/69 of 360 degrees in the circle graph.

20/69 * 360 = 104.3

Answer: 104 deg

Which measurement is most accurate to describe the amount of water a teaspoon could hold?5 mL
3 L
25 mL
0.3 L

Answers

5 mL. 1 (US)teaspoon = 4.92892 mL

Answer:

5ml

hope that helps

Step-by-step explanation:

What decimal is equal to 7/10
0.6 0.15 0.2 0.7 0.4 ?

Answers

Your answer is 0.7
0.7 is 7/10 in decimal form.

0.7 as 10 is 10/10 (1) so 7/10 is 0.7 in decimal form

Need done quickly..Lines l and m are parallel lines cut by transversal n. Angle R is measured by (3x +12)° and angle S is measured by (5x +8)°.
What is the measure of angle s?