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EleoNora [17]
3 years ago
5

Alexa uses the binomial theorem to correctly expand (x+2)^4. which is one of the terms in alexa's answer?

Mathematics
2 answers:
sammy [17]3 years ago
8 0
^0 ...............1
^1..............1  1
^2............1  2  1 
^3...........1 3  3  1
^4..........1 4 6  4  1

(x+2)^4 = 1(x)^4(2)^0 + 4(x)^3(2)^1 + 6(x)^2(2)^2 + 4(x)^1(2)^3 + 1(x)^0(2)4
             = x^{4} + 8 x^{3} + 24 x^{2} + 32x + 16
Aloiza [94]3 years ago
6 0
The first term is x^4.
The second term is  8x^3
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The center of a hyperbola is located at the origin. One focus is located at (−50, 0) and its associated directrix is represented
leva [86]

The equation of the hyperbola is : \frac{x^{2}}{48^2}  - \frac{y^{2}}{14^2}  = 1

The center of a hyperbola is located at the origin that means at (0, 0) and one of the focus is at (-50, 0)

As both center and the focus are lying on the x-axis, so the hyperbola is a horizontal hyperbola and the standard equation of horizontal hyperbola when center is at origin: \frac{x^{2}}{a^{2}}  - \frac{y^{2}}{b^{2}}    = 1

The distance from center to focus is 'c' and here focus is at (-50,0)

So, c= 50

Now if the distance from center to the directrix line is 'd', then

d= \frac{a^{2}}{c}

Here the directrix line is given as : x= 2304/50

Thus, \frac{a^{2}}{c}  = \frac{2304}{50}

⇒ \frac{a^{2}}{50}  = \frac{2304}{50}

⇒ a² = 2304

⇒ a = √2304 = 48

For hyperbola, b² = c² - a²

⇒ b² = 50² - 48² (By plugging c=50 and a = 48)

⇒ b² = 2500 - 2304

⇒ b² = 196

⇒ b = √196 = 14

So, the equation of the hyperbola is : \frac{x^{2}}{48^2}  - \frac{y^{2}}{14^2}  = 1

5 0
3 years ago
Read 2 more answers
Surgery Satisfaction Survey
Zinaida [17]

Answer: D) 14.3%

Step-by-step explanation:

Conditional probability formula:

P(B |\text{given that A}) =\dfrac{P(A\ and\ B)}{P(A)}

So, The probability he or she was dissatisfied, given that he or she had hip surgery = \dfrac{\text{Number of persons are dissatisfied and has hip surgery}}{\text{Total persons have hip surgery}}

From the table, the number of persons who are dissatisfied and has hip surgery = 15

Total persons have hip surgery = 105

Required probability = \dfrac{15}{105}\approx0.143

In percent, Required probability = 14.3%

Correct option D) 14.3%

7 0
3 years ago
3.<br> 8.2 m<br> ? m<br> Area = 41 m2
Nezavi [6.7K]

Answer:

<h2>5 m</h2><h2 />

Step-by-step explanation:

area = L x W

41 = L ( 8.2)

L = 41 / 8.2

L = 5 m

8 0
4 years ago
I don't know what -9/32 is
Levart [38]

Answer:

-0.28125

Step-by-step explanation:

8 0
4 years ago
Please help I need to pass this test so I can bring my grades up!
Marianna [84]

Answer:

8. 24

9. 10

2. 72

1. 113

5. 7.96 = <u>8</u>

11. 30.19 = <u>30.2</u>

6. 28.27 = <u>28</u>

That's all I can answer right now, maybe study a bit more and your grades will get better! Good luck!

4 0
3 years ago
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