Answer:
x²+(1/x²) = 47
Step-by-step explanation:
by identity : (a+b)² = a²+b²+2ab
(x+1/x)²= x²+(1/x)²+2(x)(1/x)
(x+1/x)²= x²+(1/x²)+2....(1)
since : (x²+1)/x = 7
(x²/x) +(1/x) = 7
x + (1/x )= 7
put the value for : x +(1/x) in (1) :
49 = x²+(1/x²)+2
x²+(1/x²) = 47
Answer:
reflection over y axis
Step-by-step explanation:
it flips over the y axis like a mirror
1) The perimeter is the sum of the lengths of the straight edge (the diameter of the semicircle) and the length of the arc of the semicircle.
The circumference of a 4 ft circle is
π*diameter = π*4 ft ≈ 12.566 ft
The semicircle will have a length that is half that, 6.283 ft. When this length is added to the diameter, the perimeter is found to be
Perimeter = 4 ft + 6.283 ft ≈ 10.3 ft.
2) The area of a circle is given by the formula
A = (π/4)d²
For a diameter of 15 inches, the area is
A = (π/4)(15 in)² = 56.25π in²
A ≈ 176.7146 in²
The area of the circle is about 176.71 in².
Answer:
300 students are enrolled.
Step-by-step explanation:
As the university accepts 60% of the students who apply.
As 2000 students apply, it means that:
2000 × 60% ⇒ 2000 × 0.6 = 1200 students are accepted
Out of these 1200, 25% enrolled
1200 × 25% ⇒ 1200 × 0.25 = 300 students are enrolled
Therefore, 300 students are enrolled.
Answer:
0.8 cm
Step-by-step explanation:
The formula for MAD is attached in the picture.
x_i are the values (data)
x bar is the mean
n is the number of numbers (data)
For figuring out MAD, basically, <em>we subtract the mean from each of the values respectively and take the absolute value and SUM for all of the numbers in the data set. Then we divide by n, the number of numbers.</em>
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Let's do this:
MAD = 
MAD is 0.8
