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ArbitrLikvidat [17]
3 years ago
14

Simplify the radicals: do 10- 18, no need to show work if you usually do, thank you!!

Mathematics
1 answer:
Ainat [17]3 years ago
3 0

Answer:

10. 7

11. 4

12. 8

13. 7

14. 2

15. 3

16. 11

17. 9

18. 8

Step-by-step explanation:

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Please help me :)) algebra 2! what are the real roots?
irina1246 [14]

Answer:

A

Step-by-step explanation:

So we have the equation:

3(x-4)^\frac{4}{3}+16=64

First, let's subtract 16 from both sides:

3(x-4)^\frac{4}{3}=48

Now, let's divide both sides by 3:

(x-4)^\frac{4}{3}=16

Remember that with fractional exponents, we can move the denominator into the root position. Therefore:

(\sqrt[3]{x-4})^4=16

Let's take the fourth root of both sides. Since we're taking an even root, make sure to have the plus-minus symbol!

\sqrt[3]{x-4} =\pm 2

Cube both sides. Since we're cubing, the plus-minus stays.

x-4=\pm 8

Add 4 to both sides.

x=\pm 8+4

Calculator:

x=8+4\text{ or } x=-8+4\\x=12\text{ or } x=-4

So, our answer is A.

And we're done!

7 0
4 years ago
Julia spends $5.75 on gas for her lawn mower. She earns $18.00 mowing her neighbor's yard. What is Julia's profit?
Alex787 [66]
Hello!

Subtract the cost of the gas from Julie's total earnings find what Julie's profit was.

18 - 5.75 = 12.25

A N S W E R:

Julie's profit is $12.25.
7 0
3 years ago
The frequency of A5 is 880 Hz. What is the frequency of A7, which is two octaves above A5?
denis-greek [22]
The frequency of A7, which is two octaves above A5, is 3520 (880 x 2 x 2) Hz. The octave term is used in the musical composition to relate the same notes in the higher or lower scale of notes. The note in the one octave higher scale have a doubled frequency than in the neutral scale and The note in the one octave lower scale have a half frequency than in the neutral scale.
3 0
3 years ago
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Create a factor tree for 21
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21  /  \ 
<span>     3   7                 lol more or less</span>
5 0
4 years ago
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ABCD is a trapezoid.<br> What is the area of trapezoid?
lana [24]
Let h represent the height of the trapezoid, the perpendicular distance between AB and DC. Then the area of the trapezoid is
  Area = (1/2)(AB + DC)·h
We are given a relationship between AB and DC, so we can write
  Area = (1/2)(AB + AB/4)·h = (5/8)AB·h

The given dimensions let us determine the area of ∆BCE to be
  Area ∆BCE = (1/2)(5 cm)(12 cm) = 30 cm²

The total area of the trapezoid is also the sum of the areas ...
  Area = Area ∆BCE + Area ∆ABE + Area ∆DCE
Since AE = 1/3(AD), the perpendicular distance from E to AB will be h/3. The areas of the two smaller triangles can be computed as
  Area ∆ABE = (1/2)(AB)·h/3 = (1/6)AB·h
  Area ∆DCE = (1/2)(DC)·(2/3)h = (1/2)(AB/4)·(2/3)h = (1/12)AB·h

Putting all of the above into the equation for the total area of the trapezoid, we have
  Area = (5/8)AB·h = 30 cm² + (1/6)AB·h + (1/12)AB·h
  (5/8 -1/6 -1/12)AB·h = 30 cm²
  AB·h = (30 cm²)/(3/8) = 80 cm²

Then the area of the trapezoid is
  Area = (5/8)AB·h = (5/8)·80 cm² = 50 cm²
6 0
3 years ago
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