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svetlana [45]
3 years ago
15

Which of the following is equal to the expression below? (160x243)^1/5

Mathematics
1 answer:
Kipish [7]3 years ago
3 0
160 = 2 x 2 x 2 x 2 x 2 x 5 = 2^5 x 5
243 = 3 x 3 x 3 x 3 x 3 = 3^5
So
(160 * 243)^1/5
= 5th root of (160 * 243)
= 5th root of (2^5 * 5 * 3^5)
= 2 * 3 * (5th root of 5)
= 6 * (5th root of  5)
Answer is D. 6 * (5th root of  5)
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Ms. Blevins wants to survey a random sample of students at her middle school about the amount of homework assigned each night. W
NeTakaya
I think maybe 3) would make the most sense because she wants a random sample of students and the other options are specific on the type of students.
6 0
3 years ago
two ships leave a port at the same time. the first ship sails on a bearing of 55° at 12 knots (natural miles per hour) and the s
Korvikt [17]

Answer:

37.59 nautical miles

Explanation:

Distance = Speed x Time

The speed of the first ship = 12 knots

Thus, the distance covered after 1.5 hours

\begin{gathered} =12\times1.5 \\ =18\text{ miles} \end{gathered}

The speed of the second ship = 22 knots

Thus, the distance covered after 1.5 hours

\begin{gathered} =22\times1.5 \\ =33\text{ miles} \end{gathered}

The diagram representing the ship's path is drawn and attached below:

The angle at port = 90 degrees.

The triangle is a right triangle.

Using Pythagorean Theorem:

\begin{gathered} c^2=a^2+b^2 \\ c^2=18^2+33^2 \\ c^2=324+1089 \\ c^2=1413 \\ c=\sqrt[]{1413} \\ c=37.59\text{ miles} \end{gathered}

The two ships are 37.59 nautical miles apart after 1.5 hours.

8 0
1 year ago
A skydiver is falling 176 feet per second. How many feet per minute is he falling
Vlada [557]
The correct answer here is that if the skydiver is falling 176 feet per second, he is falling 10560 feet per minute. This can be worked out quite easily, by considering that if there are 60 seconds in a minute, we then need to work out the proportion of 176 feet/1 sec = x/60 sec. You then need to multiply 60 by 176 to get 10560, which is your answer.
3 0
3 years ago
What us9/2 written ad mixed numbers
kogti [31]

Answer:

4 and 1/2

Step-by-step explanation:

divde 2 into 9 that will go into 4 times then the left over is 1 then keep your denominator

7 0
3 years ago
PLEASE HELP!!! NEED WITHIN 5 MINUTES!!<br> The picture is down below
kari74 [83]

Answer:

1.

Mean: 65

MAD: 6.4

2.

Mean: 60.5

MAD: 6.4

3. The diference of the means are 4.5

I’m sorry, I do not understand the last one.

Step-by-step explanation:

The mean is the average, add all of the values and divide the result by the number of values. The MAD is the mean absolute deviation. You find it by taking the distance between the values and the mean. You then add them together and divide it by the mean. I really hope this helps you!

7 0
2 years ago
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