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ivanzaharov [21]
2 years ago
7

Identify square root of 3 as either rational or irrational, and approximate to the tenths place.

Mathematics
1 answer:
ASHA 777 [7]2 years ago
5 0

Answer:

Irrational

\sqrt{3} = approx. 1.7

Step-by-step explanation:

The square root of 3 is irrational, because 3 is not a perfect square.

For example, 4 is a perfect square, so the square root (2) will be rational.

The square root of 3 is 1.73205080757,

and we can round this to 1.7 for the tenths place

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Ja'Von kicks a soccer ball into the air. The function f(x) = –16(x – 2)2 + 64 represents the height of the ball, in feet, as a f
Dima020 [189]

Answer:

The maximum height the ball reaches is 64 feet

Step-by-step explanation:

The given function is f(x) = -16·(x - 2)² + 64

From the equation, the path described by the ball is an inverted n-shaped parabola

The maximum height is therefore, the tip of the parabola

At the maximum height, the slope = 0 because the tip is momentarily flat

Since the slope (y₂ - y₁)/(x₂ - x₁)  = The derivative Δy/Δx, we find the derivative of the function and equate it to zero to find the coordinates at the  maximum height

Δy/Δx = dy/dx = d(-16·(x - 2)² + 64)/dx = -32·(x - 2) = -32·x + 64

To check if it is a maximum, we have;

d²y/dx² = d(-32·x + 64)/dx = -32 which is negative, indicating that the slope is reducing and we at the maximum point of the slope

Therefore for the maximum height Δy/Δx = dy/dx = -32·x + 64 = 0

64 = 32·x

x = 64/32 = 2 seconds

We now have the x-value at the slope, the f(x) value, is therefore;

f(2) = -16·(2 - 2)² + 64 = 64 feet

Therefore, the maximum height the ball reaches is 64 feet.

3 0
3 years ago
Each of the 10 students in the baking club made 2 chocolate cakes for a fundraiser they all used the same recipe, using C cups o
IrinaK [193]

Answer:

C / 20

Step-by-step explanation:

Number of students in the baking club = 10

Each student made 2 chocolate cakes

Total cakes = number of students × number of cakes per student

= 10 × 2

= 20

Total cups of flour used by 10 students = C cups

Amount of flour for one cake = Total cups of flour / Total cakes

= C / 20

The expression that represents the amount of flour for one cake = C / 20

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3 years ago
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myrzilka [38]

Answer:

Proved

Step-by-step explanation:

To prove that every point in the open interval (0,1) is an interior point of S

This we can prove by contradiction method.

Let, if possible c be a point in the interval which is not an interior point.

Then c has a neighbourhood which contains atleast one point not in (0,1)

Let d be the point which is in neighbourhood of c but not in S(0,1)

Then the points between c and d would be either in (0,1) or not in (0,1)

If out of all points say d1,d2..... we find that dn is a point which is in (0,1) and dn+1 is not in (0,1) however large n is.

Then we find that dn is a boundary point of S

But since S is an open interval there is no boundary point hence we get a contradiction. Our assumption was wrong.

Every point of S=(0, 1) is an interior point of S.

3 0
2 years ago
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Natalka [10]

Answer:

2

Step-by-step explanation:

The outlier here is greatly above all of the others, the mean is the sum of all of the numbers/the amount of numbers. So, if we exclude the outlier, the sum of all of the numbers would decrease

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3 years ago
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Answer:

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Step-by-step explanation:

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