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SVETLANKA909090 [29]
3 years ago
8

A binomial of the 4th degree with a leading coefficient-2

Mathematics
1 answer:
cricket20 [7]3 years ago
6 0

In Albert's apartment complex, 1/10 of the apartments are one-bedroom apartments and 1/2 are two-bedroom apartments. What fraction of the apartments are either one- or two-bedroom apartments?


You might be interested in
A plane takes off and flies at an angle of 11° with the ground. When it reaches an elevation of 500 ft, what is the distance flo
drek231 [11]

Answer:

It had flown 2620 ft along the diagonal.

Step-by-step explanation:

When the plane is taking off it forms we can form a triangle with it's height, horizontal distance and diagonal distance, which can be seen in the attached drawing. We can use the sine relation on the right triangle to determine "x", as shown below:

sin(11°) = 500/x

x*sin(11) = 500

x = 500/[sin(11)] = 2620 ft

It had flown 2620 ft along the diagonal.

7 0
3 years ago
The rational number -28 is equal to?
yuradex [85]
-28 is equal to positive 28
8 0
3 years ago
The average college lecture hall (auditorium) can seat 60 students with a standard deviation of 21. Assume that a total of 60 le
fiasKO [112]

Answer:

The standard deviation of the sample mean is  \sigma _ {\=  x } = 2.711

Step-by-step explanation:

From the question we are told that

   The mean is  \= x  =  60

    The standard deviation is  \sigma  =  21

     The sample size is n  =  60

Generally the standard deviation of the sample mean is mathematically represented as  

               \sigma _ {\=  x } =  \frac{\sigma  }{\sqrt{n} }

substituting values

               \sigma _ {\=  x } =  \frac{ 21 }{\sqrt{60} }

               \sigma _ {\=  x } = 2.711

4 0
2 years ago
The polynomial equation x5-16x2=4x4-64 has complex roots + or - 2i what are the other roots? use a graphing calculator and a sys
hichkok12 [17]

Kindly proofread the question!!!

The leading term is x^6, not x5.


Answer: The additional roots are -2, +2, each with multiplicity 2.


Step-by-step explanation:

x^6 - 16x^2 = 4x^4 - 64


x^6 - 4x^4 - 16x^2 + 64 = 0

(x+2i)(x-2i) = (x^2+4) is a factor.

(x-2)(x+2)(x-2)(x+2)(x^2+4) = 0

Polynomial long division by x^2+4

x^6 - 4x^4 - 16x^2 + 64 = 0

First term of quotient is x^4

Subtract x^6+4x^4

Remainder is -8x^4 -16x^2+64

Second quotient term is -8x^2

Subtract -8x^4-32x^2

Remainder is 16x^2+64

Third quotient term is 16

Subtract 16x^2+64

Remainder is zero

Quotient is x^4 - 8x^2 + 16

(x^2-4)^2 = x^4 + 2(1)(-4)x^2 + 16

(x-2)(x+2)(x-2)(x+2)(x^2+4) = 0


4 0
3 years ago
Evaluate the expression. r = <5, 9, -4>, v = <3, 3, -8>, w = <9, -6, -1> v ⋅ w (5 points)
oee [108]

Answer:

s

Step-by-step explanation:

7 0
3 years ago
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