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3 years ago

What is the solution of the equation e^xe^2x = 4? Round your answer to the nearest hundredth.

1 answer:

8 0

The equation is:

[e^x] [e^(2x)] = 4

1) Applying property of multiplication of powers wiith same base =>

e ^ (x + 2x) = 4

=> e ^ (3x) = 4

2) Applying logarigth properties

3x = ln(4)

=> x = ln(4) / 3 ≈ 1.38629 / 3 ≈ 0.4621

Answer: x = ln(4) / 3 ≈ 0.4621

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Oscar has $30 from his allowance. There is a video game he wants to buy that costs $17.99, a chocolate bar that costs $0.79 and

Airida [17]

Answer:

$Balance = \$2.23$

Step-by-step explanation:

Given

$Allowance = \$30$

$Video\ Game = \$17.99$

$Chocolate\ Bar = \$0.79$

$Remote\ Car = \$8.99$

Required [Missing from the question]

What is his balance after purchasing the items

First, calculate total cost of items

$Total =Video\ Game + Chocolate\ Bar + Remote\ Car$

$Total = \$17.99 + \$0.79 + \$8.99$

$Total = \$27.77$

The balance is then calculated as:

$Balance = Allowance - Total$

$Balance = \$30 - \$27.77$

$Balance = \$2.23$

3 0

3 years ago

Samantha rectangular gift is 10 inches. by 12 inches and is framed with a ribbon. She wants to use the same lengths of ribbon to

vitfil [10]

Answer:

The dimension of the rectangular gift is 10 by 12 inches so let us find the perimeter of this rectangle.

Perimeter of rectangular gift = 2 (L+ W) = 2 (10 +12) = 44 inches

Since we are to use the same length of ribbon to wrap a circular clock so the perimeter or circumference of the clock should be no more than 44 inches.

2πr = 44

r = 44/2π

r = 7.003

Therefore, the maximum radius of the circular clock is 7 inches.

6 0

3 years ago

How do you solve it

True [87]

Answer:

Step-by-step explanation:

400-65=335

7 0