What is the quotient of the following rational expression?
X^3 + 3x^2 - 4x + 5
——————————
X^2 - 2


A) x + 3 + -2x + 11
————-
x^2 - 2

B) x + 5 + 6x + 5
————
x^2 - 2

C) x + 3 + -6x - 1
————
x^2 - 2

D) x + 3 + 11
————
x^2 - 2

Answer:

[tex]10\sqrt{5} [/tex]

Step-by-step explanation:

Tan(30) = 1/2

Longer leg = 20

Hypotenuse = 10*sqrt(5)

Answer:

9(5x^3-1)

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Answer:

B: 113 inches2

Step-by-step explanation:

16inch diameter=201

20inch diameter=314

314-201=113

The value [tex]8\times 10^{-3}[/tex] is about 2000 times greatest as [tex]4\times 10^{-6}[/tex]

Exponents, also known as powers, are values that show how many times to multiply a base number by itself.

Here we have the values  [tex]8\times 10^{-3}[/tex] and [tex]4\times 10^{-6}[/tex]

Now to compare the value we will write [tex]4\times 10^{-6}[/tex] as [tex]0.004\times 10^{-3}[/tex]. We will divide the value  [tex]8\times 10^{-3}[/tex] by the value [tex]4\times 10^{-6}[/tex]  So it will give us 2000.That means that the value [tex]8\times 10^{-3}[/tex] is 2000 times them the value [tex]4\times 10^{-6}[/tex]

[tex]\dfrac{8\times 10^{-3}}{0.004\times 10^{-3}}=2000[/tex]

So value [tex]8\times 10^{-3}[/tex] is about 2000 times greatest as [tex]4\times 10^{-6}[/tex]

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Answer:

$1261.21

Step-by-step explanation:

Answer: x ≥ [tex]\frac{-2}{5}[/tex]

Step-by-step explanation:

I cannot see what the student did wrong in your question, so I solved for x in the equation...

[tex]5x + 2[/tex] ≥ [tex]x + \frac{2}{5}[/tex]

1. subtract x from both sides

4x + 2 ≥ [tex]\frac{2}{5}[/tex]

2. subtract 2 from both sides to isolate 4x

4x ≥ [tex]\frac{-8}{5}[/tex]

3. divide both sides by 4

x ≥ [tex]\frac{-2}{5}[/tex]

Answer:

Rounded it is 66.7%

Step-by-step explanation:

24-8=16

Then find the percentage of 16 out of 24.

Answer:

33.33333%

Step-by-step explanation:

24 divided by 8=3

Answer:

What? I think you forgot to attach the picture.

Answer:

4

Step-by-step explanation:

to find the mean you add up all  of the numbers and then divide by the numbr of numbers there are. So to add them all up that will be 3+5+0+4+7+5+5+3=32

so then you divide 32 by 8 which equals 4.

So therefore your answer is 4.

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Answer:

87 days

Step-by-step explanation:

First if she already made 304 cranes and she makes 8 a day. Simply divide 304 by 8. You would then get 38. Next divide 1,000 by 8. You would get 125. You would subtract the total from how many days you need; 125, to how many days you already spent; 38. 125 - 38 = 87. 87 days are needed to make paper cranes.

Answer:

D. word count has no apparent relationship to the score of the essay

Step-by-step explanation:

ya its D ANYWAYSSSSSS

Answer:

answer is X= 175

Step-by-step explanation:

all you had to do is to get rid off both 5 on left which would leave you with x and on right side the answer to 35×5 is 175

[tex]\textbf{a)}\\\\(2b^4)^3 \\\\=2^3 \cdot (b^4)^3\\\\=8b^{4 \times 3}\\\\=8b^{12}\\\\\textbf{b)}\\\\\left( \dfrac{3}{x^2 y} \right)^2\\\\\\=\dfrac{3^2}{(x^2 y)^2}\\\\\\=\dfrac{9}{x^4 y^2}\\\\\textbf{c)}\\\\(5a^4b)^2\\\\=5^2\cdot a^{4 \times 2} \cdot b^2\\\\=25a^8b^2\\\\\textbf{d)}\\\\\left( \dfrac{m^3 }{2n^2} \right)^4\\\\\\=\dfrac{(m^3)^4}{(2n^2)^4}\\\\\\=\dfrac{m^{3 \times 4}}{2^4 \cdot n^{2 \times 4}}\\\\\\=\dfrac{m^{12}}{16n^8}[/tex]

Answer:

Cylinder: [tex]V_c = 80 \pi \approx 251.33[/tex]

Rectangular prism: [tex]V_r = 384[/tex]

Total: [tex]V = 80\pi + 384 \approx 635.33[/tex]

Step-by-step explanation:

The volume of the cylinder:

[tex]V_c = \pi r^2 h\\V_c =\pi4^2 \times 5\\V_c = 80\pi\\V_c \approx 251.33[/tex]

The volume of the rectangular prism:

[tex]V_r = lwh\\V_r = 12 \times 8 \times 4\\V_r = 384[/tex]

The total volume:

[tex]V = V_c + V_r\\V = 80\pi + 384\\V \approx 635.33[/tex]

Answer:

176

Step-by-step explanation:

you multiply the numbers 4 4 and 11 to get 176

Answer:

Equation: 7x + 8x = 180

x = 12

∠CBA = 84

∠CFH = 96

Step-by-step explanation:

We can see that ∠CBA = ∠CFE and ∠CBD = ∠CFH.

We know that the sums of two angles on a straight line are going to be equal to 180.

∠CBA = 7x

∠CFH = 8x

To find the value of x, we must do the following:

7x + 8x = 180

15x = 180

15x/15 = 180/15

x = 12

Now we just substitute to find the angle measures:

∠CBA = 7 · 12 = 84

∠ CFH = 8 · 12 = 96

Answer:

Sorry, I don't have an answer but is this how hard math gets. My dad is an engineer and he says math is easy but....

Answer:108

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Step-by-step explanation:8 pieces of glass uses 1 sqft. glass window. 864 sqin. required = = 108 pieces. Number of pieces required for 864 sq.inches = 108 pieces.

Answer:

Step-by-step explanation:

Find x

(180 - 36) : 2 =

72°

so angle 2x is 144°

sum of all interior angles = 720°

Find y

720 - 144 - 111 - 105 - 165 - 101 =

94°

Answer

[tex]y=4* 8 -12\\[/tex]

Step-by-step explanation:

4 x 8 = 32

y=32-12

y=20

Answer:

the area of the triangle is 41

the perimiter of the triangle is 33.25

Step-by-step explanation:

The estimated distance she walks every shift will be 18000 feet.

From the information given, it was stated that the

runways at an airport are arranged to intersect and are boarded by fencing a security guard.

The estimated distance she walks every shift from the complete information will be:

= 2(4000 + 5000)

= 2 × 9000

= 18000 feet.

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Answer:

the answer is 23,320 ft

Step-by-step explanation:

I hope it helps you

The two possible answers for the third side of the right triangle are 6 and 24.

The Triangle Inequality theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.

So, a difference of two sides <x< sum of two sides, will give you the possible length of a triangle.

Sarah said, "There is only one possible third side for a right triangle with two sides measuring 9 units and 15 units.'

The two possible answers for the third side of the right triangle are;

[tex]\rm 15-9 < x < 15+9\\\\6 < x < 24[/tex]

The possible length of the third side of a triangle.

For checking the possible length:

15 + 9 > 7 (a+b>c)

9 + 7 > 15 (b+c>a)

7+ 15 >9(a+c>b)

Which satisfy the triangle inequality theorem.

Hence, the two possible answers for the third side of the right triangle are 6 and 24.

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There are four ways to fold the square into half and the number of ways to fold the letter G is 0

A square has 4 lines of symmetry.

Each line of symmetry divides the square into half

This means that the square can be folded in any of its line of symmetry to get one half

Hence, there are four ways to fold the square into half

The letter G has no line of symmetry.

This means that the letter cannot be folded so that the halves fit perfectly

Hence, the number of ways to fold the letter G is 0

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