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umka21 [38]
3 years ago
5

Determine whether the equation 5(1+2m)=1/2(8+20m) has one solution, no solution, or infinitely many solutions.

Mathematics
2 answers:
abruzzese [7]3 years ago
5 0

Answer:

No solution

Step-by-step explanation:

There are three cases in a one variable equation of degree one,

Equation has one solution : if after solving it we get a solution,

Equation has infinitely many solution :  if after solving the equation we get a true statement,

Equation has no solution : if after solving it we get a false statement.

Given equation,

5(1+2m) = \frac{1}{2}(8 + 20m)

By distributive property,

5 + 10m = 4 + 10m

⇒ 5 = 4 ( FALSE )

Hence, the equation has no solution.

hichkok12 [17]3 years ago
3 0

1. Use the distributive property:

5\cdot (1+2m)=5\cdot 1+5\cdot 2m=5+10m,

\dfrac{1}{2}\cdot (8+20m)=\dfrac{1}{2}\cdot 8+\dfrac{1}{2}\cdot 20m=4+10m.

Then

5+10m=4+10m.

2. Separate terms with m in left side and without m in right side:

10m-10m=4-5,\\ \\0=-1.

This expression is false for all values of x, then the equation doesn't have solutions.

Answer: no solution

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disa [49]
The answer is 7.9306

Using the formula in the attached:
Where: xi = sample value; μ = sample mean; n = sample size

1.) Calculate the mean first:
μ = 12.0 + 18.3 + 29.6 + 14.3 + 27.8 / 5
   = 102 / 5
μ = 20.4

2.) Using the mean, calculate (xi - μ)² for each value:
(12.0 - 20.4)² = 70.56
(18.3 - 20.4)² = 4.41
(29.6 - 20.4)² = 84.64
(14.3 - 20.4)² = 37.21
(27.8 - 20.4)² = 54.76

3.) Sum the squared differences and divide by n - 1.
μ = 70.56 + 4.41 + 84.64 + 37.21 + 54.76
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3 0
3 years ago
PLEASE HELPPPP!!!!!!!!!!!!
sladkih [1.3K]
Given:

Two endpoints of a diameter of a circle:

P (-7, -10)
Q (3, 2)

a) To find the center of the circle, find the midpoint of the two points:

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x= (2 - (-7))/2 = 4.5
y= (3 - (-10))/2 = 6.5

Therefore, the center of the circle is at C(4.5, 6.5)


 b) To find the radius of the circle, we need to find the distance between the two points and divide by 2.

d = √(y2-y1)^2 + (x2 - x1)^2
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3 years ago
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scoray [572]

Answer:

The angle of elevation of the sun is 39⁰

Step-by-step explanation:

Given;

height of the tree, h = 96 ft

length of the shadow, L = 120 ft

                                                   |

                                                   | 96ft

                                                   |

                                                   |

       θ------------------------------------

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Completing this triangle to cut across the top of the tree gives you a right angled triangle with θ as the angle of elevation of the sun.

Apply trig-ratio to determine the angle of elevation of the sun;

tanθ = opposite side / adjacent side

tanθ = 96 / 120

tanθ = 0.8

θ = tan⁻¹(0.8)

θ = 38.7⁰

θ = 39⁰

Therefore, the angle of elevation of the sun is 39⁰

4 0
3 years ago
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3 years ago
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