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SVETLANKA909090 [29]
3 years ago
8

Which of the following is the radical expression of 4 times d to the three eighths power? (2 points) 4 times the eighth root of

d to the third power 4 times the third root of d to the eighth power eighth root of 4 d to the third power third root of 4 d to the eighth power
Mathematics
2 answers:
stepan [7]3 years ago
4 0

For this case we have the following expression:

4 ^ {\frac {3} {8}}

By definition of properties of powers and roots we have to:

a ^ {\frac {m} {n}} = \sqrt [n] {a ^ m}

Then, we can rewrite the expression as:

\sqrt [8] {4 ^ 3}

Answer:

4 ^ {\frac {3} {8}} = \sqrt [8] {4 ^ 3}

Sladkaya [172]3 years ago
4 0

Answer:

c

Step-by-step explanation:

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A rectangle has vertices a(1,2), B(1,7), c(4,7), d(4,2). what is the perimiter of the rectangle
aliina [53]

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16

Step-by-step explanation:

You see, if you were to plot these points, (1, 2) and (1, 7) would be 5 points away from each other. If you were to plot the points (4, 2) and (4, 7) those points would also be 5 points away from each other. Now, (1, 2) and (4, 2) are 3 points apart as well as (1, 7) and (4, 7). Therefore, 5 + 5 = 10, 3 + 3 = 6, and finally, 10 + 6 = 16!

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A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a single-strand electric f
likoan [24]

Step-by-step explanation:

Let x be the length and y be the width of the rectangular plot.

The plot is bounded on one side by a river and on the other three sides by a single-strand electric fence. It means,

x+2y = 1500

x = 1500 - 2y ....(1)

We know that the area of a rectangular plot is given by :

A = xy ....(2)

Put the value of x from equation (1) in (2)

A=(1500-2y)y\\\\A=1500y-2y^2 .....(3)

For largest area, differentiate above area equation wrt y.

\dfrac{dA}{dy}=\dfrac{d}{dy}(1500y-2y^2)\\\\=1500-4y\\\\\text{Put}\ \dfrac{dA}{dy}=0\\\\1500-4y=0\\\\y=\dfrac{1500}{4}\\\\=375

Put the value of y in equation (1).

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Hence, the largest area is 281250 m² and its dimensions are 750 m and 375 m.

3 0
3 years ago
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