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3 years ago

Which equation has a graph that is a parabola with a vertex at (5, 3)?

1 answer:

8 0

Answer: The equation that has a graph which is a parabola with a vertex at (5, 3) would be y = (x – 5)^2 + 3. The general form of a parabola which the vertex is not in the origin is expressed as y = a(x - h)^2 + k where (h,k) represents the vertex.

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Underline the hypothesis once and the conclusion twice.The transform the conditional statement into if-then form.

sleet_krkn [62]

Answer:

1 yard=3 feet

Step-by-step explanation:

so 120 yards =3 [120]=360ft

8 0

3 years ago

Emily has 4 gallons of water. Ryan has 12 quarts of water. How many more cups of water does Emily have than Ryan?

Elden [556K]

Answer:

Step-by-step explanation:

12 quats into cups = 48 cups

4 gallons into cups = 64 cups

64-48= 16 cups more than Ryan

5 0

3 years ago

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What is the answer to this math problem?

Over [174]

The volume of a sphere is 4/3 x π x (diameter / 2)3, where (diameter / 2) is the radius of the sphere (d = 2 x r), so another way to write it is 4/3 x π x radius3. Visual on the figure below:

Making this sphere's volume 904.778684 yd3 and its cubic yards is 1,183.4.

7 0

2 years ago

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Lyme disease is an inflammatory disease that results in a skin rash and flulike symptoms. It is transmitted through the bite of

neonofarm [45]

Answer:

Step-by-step explanation:

Let cases of Lyme disease = x

x = 2, 1, 3, 4, 5, 1, 2, 1, 6, 5, 4, 1

$\sum x = 35$

$\sum x^2 = 139$

y = 0, 1, 2, 1, 3, 5, 2, 3, 3, 3, 1, 0

$\sum y = 24$

$\sum y^2 = 72$

$\sum xy = 55$

$S_{xx} = \sum x^2 - (\sum x)^2/n\\S_{xx} = 139 - 35^2/12\\S_{xx} = 36.92\\S_{yy} = \sum y^2 - (\sum y)^2/n\\S_{yy} = 72 - 24^2/12\\S_{yy} = 24$

$S_{xy} = \sum xy - ( \sum x \sum y)/n\\S_{xy} = 55 - (35*24)/12\\S_{xy} = -15$

b) Linear correlation between Lyme disease and drowning deaths.

$r = \frac{S_{xy}}{\sqrt{S_{xx}S_{yy}} }$

r = -15/ √(24*36.92)

r = -0.504

3 0

3 years ago

Use the elimination method to solve the system of equations. Choose the correct ordered pair.

Aleonysh [2.5K]

4x + 7y = 60
-4x + 7y = -4
------------------add
14y = 56
y = 56/14
y = 4

4x + 7y = 60
4x + 7(4) = 60
4x + 28 = 60
4x = 60 - 28
4x = 32
x = 32/4
x = 8

so ur solution is : (8,4)

6 0

4 years ago

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