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3 years ago

Simplify the expression (128x^5/8x)^1/2

Mathematics

1 answer:

solong [7]3 years ago

5 0

Answer: 4x'6

Step-by-step explanation:

Simplify x5 /8. Than, Equation at the end of step 1 : x5 ——) • x)1) ÷ 4 8

Step 2 : 2.1 16 = 24 (16)1 = (24)1 = 24 2.2 x6 raised to the 1 st power = x( 6 * 1 ) = x6

Step 3 : 24x6 Simplify ———— 4

Dividing exponents : 3.1 24 divided by 22 = 2(4 - 2) = 22

which brings us to our final answer above

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This is just for fun I want to see if I got it right

blondinia [14]

the first one is 9

I don't even understand the question

7 0

3 years ago

Sales tax in Birmingham, AL, is the highest in the nation at 10 percent. Pete paid $9.44 in sales tax for an item in Birmingham,

N76 [4]

The answer is $94.40 because he paid 9.44 in sales tax and you need to multiply that by 10 since sales tax is 10%. So, you will get a result of $94.40. You could also check this by multiplying 94.40 by 0.10 and if you get 9.44 (which you do) then it is correct.

8 0

3 years ago

Read 2 more answers

DochEvi [55]

Answer:

12pi cm

Step-by-step explanation:

The Perimeter of the full shape is the sum of the lengths of the edges of the parts. For convenience in referencing them, we'll call the large curve " $curve_{big}$ " and the three smaller curves " $curve_1$ " " $curve_2$ " " $curve_3$ " in order from left to right.

Thus, the Perimeter of the full shape can be written as an equation:

$P_{overall} = Length(curve_{big})+Length(curve_1)+Length(curve_2)+Length(curve_3)$ Since all of those edge lengths are curves, and the question states that all of the curves are made from parts of circles, then we need to know how to find the length of the edge of a circle.

Parts of a circle

Since values in the diagram are diameters, use the formula for the Perimeter of a circle $P=\pi d$ (where d is the diameter).

Let's call the diameters of each of our curves " $d_{big}$ " " $d_1$ " " $d_2$ " " $d_3$ ", with the subscripts denoting which curve we're referring to.

Note that for each curve, the curve only represents half of a circle. So, to find the length of each curve, we'll need half of the full perimeter of each circle.

So for instance: $Length(curve_{big})=\frac{1}{2} \pi d_{big}$

Substituting back into the main equation above:

$P_{overall} = Length(curve_{big})+Length(curve_1)+Length(curve_2)+Length(curve_3)$ $P_{overall}=\frac{1}{2} \pi d_{big} + \frac{1}{2} \pi d_{1} + \frac{1}{2} \pi d_{2} + \frac{1}{2} \pi d_{3}$

Note that all terms have common factors of "one-half" and "pi" in them. These can be factored out:

$P_{overall}=\frac{1}{2} \pi (d_{big} + d_{1} + d_{2} +d_{3})$

The diameter for the large Curve, is the sum of the three small diameters, so $d_{big}=12cm$ , and $d_{1}=d_{2}=d_{3}=4cm$

Substituting and simplifying (in terms of pi):

$P_{overall}=\frac{1}{2} \pi ( (12cm) + (4cm) + (4cm) + (4cm) )\\P_{overall}=\frac{1}{2} \pi ( 24cm)\\P_{overall}=12 \pi cm$

Additional Understanding

Interesting for this problem, since the diameters of the 3 small curves formed the diameter of the large curve $d_{1} + d_{2} + d_{3} =d_{big}$ , one could make a different substitution into one of our formulas above:

$P_{overall}=\frac{1}{2} \pi (d_{big} + d_{1} + d_{2} +d_{3})$

$P_{overall}=\frac{1}{2} \pi (d_{big} + (d_{big}))$

$P_{overall}=\frac{1}{2} \pi (2d_{big})$

$P_{overall}=\pi d_{big}$

Notice that $\pi d_{big}$ is just the full perimeter of a circle with the big diameter.

So, if one imagined starting with a full circle with the big diameter, even though the bottom half of the circle was turned into a bunch of smaller half circles, since they were in a line along the diameter of the large circle, the full perimeter of the new shape didn't change.

The number of smaller circles doesn't need to be 3 either... as long as it goes the full distance across, right along the diameter.

7 0

2 years ago

The perimeter of a square field is 16.4cm find the side

serg [7]

Answer:

4.1 cm

Step-by-step explanation:

4a = 16.4

a = 4.1 cm

4 0

2 years ago

Read 2 more answers

Which ordered pair is a solution of this equation? -6x + y = 35 Click on the correct answer. (-1,-7 (-6,-1) (-1,-6) (-7,-1)

nikklg [1K]

Answer:

The ordered pair (-6, -1) is the only solution.

Step-by-step explanation:

-6x + y = 35

Let's plug in the points.

(-1, -7) --> -6(-1) - 7 = 6 - 7 = -1 which does not equal 35

(-6, -1) --> -6(-6) -1 = 35

(-1, -6) --> -6(-1) - 6 = 0 which does not equal 35

(-7, -1) --> -6(-7) - 1 = 41 which does not equal 35

8 0

3 years ago