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2 years ago

2 log7 x=log7 27+log7 3

1 answer:

7 0

$Domain:x > 0\\\\2\log_7x=\log_727+\log_73\\\\\text{use}\ \log x^n=n\log x\ \text{and}\ \log x+\log y=\log(xy)\\\\\log_7x^2=\log_7(27\cdot3)\iff x^2=81\to x=\sqrt{81}\to\boxed{x=9}$

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gregori [183]

Answer:

Step-by-step explanation:

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2 years ago

Soda is sold in packs of 6, 12 and 24 cans. What is the minimum number of packs needed to buy

AnnZ [28]

Answer:

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2 years ago

Read 2 more answers

What is the surface area of the figure?

Oliga [24]

Answer:

The total surface area = 582 ft²

Step-by-step explanation:

To find the surface area of it count the number of faces at first

The figure has 8 faces each 2 are equal

1- Two faces with dimensions 4 ft and 15 ft ( base and shaded face)

2- Two faces with dimensions 9 ft and 4 ft

3- Two faces with dimensions 4 ft and 6 ft

4- Two faces with dimensions 15 ft , 9 ft and 6 ft

Area of (1-) = 2(4 × 15) = 120 ft²

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Area of (3-) = 2(4 × 6) = 48 ft²

Area of (4-) = 2[(9 × 9) + (6 × 15)] = 2[81 + 90] = 2 × 171 = 342 ft²

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3 years ago

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2 years ago

Marshall drove to work in rush hour traffic, going just 27 miles in 1 hour and 20 minutes. Later that day, he left work early to

iragen [17]

Answer:

The average speed of Marshall is 29.7 mph

Step-by-step explanation:

Given;

distance traveled to work, d₁ = 27 miles

distance traveled back home, d₂ = 27 miles

initial time taken, t₁ = 1 hour and 20 minutes

final time taken, t₂ = 29 minutes

Total distance traveled, d = d₁ + d₂ = 27 miles + 27 miles = 54 miles

Total time taken for the journey, t = t₁ + t₂ = 1 hour + ( 20 mins + 29 mins)

t = 1 hour + 49 mins = 1 hour + 0.817 hour = 1.817 hour

The average speed is given by;

v = total distance / total time

v = 54 miles / 1.817 hour

v = 29.7 mph

Therefore, the average speed of Marshall is 29.7 mph

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3 years ago