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stich3 [128]
3 years ago
8

Write down the value of √196​

Mathematics
2 answers:
miskamm [114]3 years ago
5 0
Answer - 14
196 divide 14 = 14
Colt1911 [192]3 years ago
3 0

Answer:

14

Step-by-step explanation:

14² is 196

so

√196 is 14

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Charles owed $390 to his friend. On the first day Charles paid his friend $12. Each following week the amount Charles paid his f
tensa zangetsu [6.8K]
Hello! Ok, so this is the formula x10 + 12 = 390 =
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4 years ago
Determine for which values of m the function variant Φ(x) = x^m is a solution to the given equation. a. 3x^2 (d^2y/dx^2) + 11x(d
miv72 [106K]

Answer:

a)  m = -9 or m = 1

b) m =  1 + √6 or m = 1 -√6

Step-by-step explanation:

for

Φ(x) = x^m

then

dΦ/dx (x) = m*x^(m-1)

d²Φ/dx² (x) = m*(m-1)*x^(m-2)

then

for a

3x^2 (d^2y/dx^2) + 11x(dy/dx) - 3y = 0

3x^2*m*(m-1)*x^(m-2) + 11*x* m*x^(m-1) - 3*x^m = 0

3*m*(m-1)*x^m + 11*m*x^m- 3*x^m = 0

dividing by x^m

3*m*(m-1) + 11*m - 3 =0

3*m² + 8 m - 3 =0

m= [-8 ± √(64 + 4*3*3)]/2 = (-8±10)/2  

m₁ = -9 , m₂= 1

then Φ(x) = x^m is a solution for the equation a , when m = -9 or m = 1

for b)

x^2 (d^2y/dx^2) - x(dy/dx) - 5y = 0

x^2*m*(m-1)*x^(m-2) -  x* m*x^(m-1) - 5*x^m = 0

m*(m-1)*x^m -m *x^m- 5*x^m = 0

dividing by x^m

m*(m-1) -m - 5 =0

m² - 2 m - 5 =0

m= [2 ± √(4 + 4*1*5)]/2 = (2±√24)/2 = 1 ±√6

m₁ =  1 + √6 , m₂ =  1 - √6

then Φ(x) = x^m is a solution for the equation b , when m =  1 + √6 or m = 1 - √6

7 0
3 years ago
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Molly is buying a house for $202,000. she is financing $185,500 and obtained a 30 year fixed rate mortgage with a 5.125% interes
IRINA_888 [86]

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Help plz!!! I need to hurry
horrorfan [7]

Answer: 1.875 or

Step-by-step explanation:

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