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Ronch [10]
2 years ago
9

If 4^3a/8^b=1, what is a/b?A. 1/3B. 1/2C. 3/4D. 4/3

SAT
1 answer:
Veronika [31]2 years ago
7 0

Answer:

B. 1/2

Explanation:

Here, 4^3a/8^b=1

or, 4^3a=8^b

or, (2²)^3a=(2³)^b

Equating powers of like bases,

6a/3b=1

or, a/b=3/6=1/2.

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A tortoise and a hare engage in a race. A tortoise can run with a speed of 0. 15 m/s. A hare can run 25 times as fast as the tor
Nonamiya [84]

Let D be the total length of the race, and T the time it takes for the tortoise to finish it. Then

D = (0.15 m/s) T

Let t be the time after the start of the race when the hare decides to take a nap. In this time, the tortoise travels a distance

(0.15 m/s) t

and the hare travels

25 (0.15 m/s) t = (3.75 m/s) t

For the next 5.0 min = 300 s, the tortoise keeps moving and covers a distance of

(0.15 m/s) (300 s) = 45 m

while the hare covers no distance.

After these 300 seconds, the remaining time for the tortoise to complete the race is (T - t - 300 s). In this same time, the hare loses the race by 35 cm = 0.35 m, so overall it has covered a total distance of

(3.75 m/s) t + 0 (300 s) + (3.75 m/s) (T - t - 300 s) = D - 0.35 m

Solve for T :

(3.75 m/s) t + 0 + (3.75 m/s) T - (3.75 m/s) t - 1125 m = D - 0.35 m

(3.75  m/s) T - 1125 m = D - 0.35 m

(3.75 m/s) T - 1125 m = (0.15 m/s) T - 0.35 m

(3.60 m/s) T = 1124.65 m

T = 312.403 s

(b) So, the race takes about 312 seconds, or 5.21 minutes.

(a) It also follows that the race has a total length of

D = (0.15 m/s) (312.403 s) ≈ 46.9 m

5 0
2 years ago
You are mailing a package that weighs 5 pounds. The post office is charging 0.44$ a ounce and 0.20$ every additional ounce. How
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1 pound= 16 ounces, 5 pounds=80 ounces
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3 years ago
a small train at an amusement park is carrying passengers. half of the passengers are 6 years old, 110 are 7 years old, 15 are 8
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Answer:

The expected age for one of the passengers on the train is 7.

Explanation:

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Which graph shows the solution to the equation log2(3x – 1) = 2?
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Im on quizlet. It’s probably B
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What is the best way to be successful in an examination which will be done before 1 month? ​
steposvetlana [31]

Answer:

According to my experience, revising the chapters before 1 month would really be beneficial. If you have the habit of following time table then you can make one and set the target to finish the syllabus right 3 or 4 days before examination which would make you feel confident. Find your distraction factor and try your best to avoid it. Practicing maths at night and reading the other subjects at morning will be more suitable. You can write the things on your rough copy which would really help you to memorize for language subject. And for maths you may start from the easy questions and you may go to difficult ones. That will help you somehow to develop interest. Dont choose a place like bed to study. Sit in such place where you won't feel sleepy. Dont feel pressurize while reading.

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