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Burka [1]
3 years ago
14

If f(x)= x^0+x^2/3+x^-2/3. Find f(8(

Mathematics
1 answer:
Serjik [45]3 years ago
3 0
F(8)= 8^0+8^2/3+8^-2/3
     = 1+cube√(8)^2 + cube√(8)^-2
     = (1+4)/4
     =5/4
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5. If W(-10, 4), X(-3,-1), and Y(-5, 11) classify AWXY by its sides. Show all work to justify your
Ierofanga [76]

Answer:

  an isosceles right triangle

Step-by-step explanation:

The square of the length of a side can be found from the distance formula:

  d^2 = (x2-x1)^2 +(y2-y1)^2

The square of the length of WX is ...

  WX^2 = (-3-(-10))^2 +(-1-4)^2 = 49+25 = 74

The square of the length of XY is ...

  XY^2 = (-5-(-3))^2 +(11-(-1))^2 = 4 +144 = 148

The square of the length of YW is ...

  YW^2 = (-10-(-5))^2 +(4 -11)^2 = 25 +49 = 74

The sum of the squares of the short sides is equal to the square of the long side, so this is a right triangle. The squares of the short sides are equal, so this is an isosceles right triangle.

3 0
3 years ago
A circular piece of fabric has a radius of 1.2 ft. The fabric sells for $5.40 per ft². What is the total cost of the circular pi
Kisachek [45]
The answer is $24.41

Step 1. Calculate the area of the <span>circular piece of fabric.
Step 2. Multiply the area of the piece by the price of </span><span>$5.40 per ft² to get the total cost.

Step 1.
The area (A) of the circle with radius r is:
A = </span>π r²
π = 3.14
r = 1.2 ft

A = 3.14 * (1.2 ft)²
A = 3.14 * 1.44 ft²
A = 4.52 ft²

Step 2.
Make a proportion
1 ft² costs $5.40
4.52 ft² cost x

1 ft² : $5.40 = 4.52 ft² : x
x = 4.52 ft² * $5.40 / 1 ft²
x = $24.41
3 0
2 years ago
What is the volume of a picnic cooler that it 2ft wide, 3ft long, and 1 1/2 ft deep? PLZ HELP
olga_2 [115]
To find the volume of the picnic cooler, you multiply the three dimensions together.

(2 ft)(3 ft)(1 1/2 ft)
= (2 ft)(3 ft)(3/2 ft)
= 9 ft^3

The volume of the picnic cooler is 9 ft^3~
6 0
3 years ago
Heather sees that two stores have similar sales. Store A says that 5 balloons will cost her $6.00 and store B says that 13 ballo
MatroZZZ [7]

Answer:

Store A and it would cost $32.40 (answer choice A)

Step-by-step explanation:

Let's start by studying how much she would pay for a single balloon on each store:

In store A: (5 balloons for $6) then per each balloon: $6/5 = $1.2 per balloon.

In store BA: (13 balloons for $16.25) then per each balloon: $16.25/13 = $1.25 per balloon.

This shows us that the better price is in store A if she wants to pay as little as possible. Now, at that price, if she wants to buy 27 balloons, she will be paying (27 times $1.2): 27 * $1.2 = $32.40

5 0
3 years ago
Assume you are rolling two​ dice; the first one is​ red, and the second one is green. Use a systematic listing to determine the
trapecia [35]
Red die:      1,2,3,4
green die:  4,3,2,1

I'm not sure if that's the answer you were looking for, but hopefully that helps.
4 0
3 years ago
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