Which table best classifies the following numbers as rational and irrational?

Help please andthank you

Leya [2.2K]

<h3><u /><u>Answer:</u></h3>

C) 28

The range is the difference between the least and greatest data value

range= 65 - 37 ⇦ subtract the least value from the greatest value,

28 ⇦ will be the range of the data.

<h3>➺➺➺➺➺➺➺➺➺</h3><h3>hope it helps...</h3><h3>have a great day!!</h3><h3 />

3 0

3 years ago

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A ball is thrown into the air from a height of 4 feet at time t = 0. The function that models this situation is h(t) = -16t2 + 6

lisov135 [29]

Answer:

a) 49 ft

b) 66 ft

c) 4 seconds

d) [0, 4] seconds

Step-by-step explanation:

a) Evaluate the function for t=3:

h(3) = -16·3² +63·3 +4 = (-16·3 +63)·3 +4 = 15·3 +4

h(3) = 49

The height of the ball is 49 feet after 3 seconds.

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b) The maximum height of the ball will be found where t=-b/(2a) = -63/-32 = 1.96875.

h(1.96875) = (-16·(63/32) +63)·(63/32) +4 = 63²/64 +4 = 66.015625

The maximum height of the ball is approximately 66 feet.

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c) The ball will hit the ground when its height is zero.

-16t² +63t +4 = 0

Using the quadratic formula, we find the solution to be ...

t = (-63 - √(63² -4(-16)(4)))/(2·(-16)) = (-63 -√4225)/-32 = -128/-32 = 4

The ball will hit the ground after 4 seconds.

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d) The function is only useful for the time period between when the ball is thrown and when it lands, t = 0 to t = 4 seconds.

The domain of t in the interval 0 to 4 seconds makes sense for this function.

6 0

3 years ago

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What percent of 78 = 39?

S_A_V [24]

39/78 = .5 = 50%
...................

3 0

3 years ago

The functions f(x) = (x + 1)2 − 2 and g(x) = −(x − 2)2 + 1 have been rewritten using the completing-the-square method. Apply you

galina1969 [7]

Answer:

f(x)=(x+1)^2-2 is the minimum and g(x)=-(x-2)^2+1 is the maximum

Step-by-step explanation:

Looking at the graph, (you should be able to graph this) the parabola for f(x)=(x+1)^2-2 is pointing downwards and stops at the vertex. This vertex is negative which is the lowest point possible which makes it the minimum. The parabola for -(x-2)^2+1 is pointing upwards and stops at the vertex which is the highest point possible which makes it the maximum.

8 0

3 years ago

The height of one solid limestone square pyramid is 21 m. A similar solid limestone square pyramid has a height of 30 m. The vol

Elina [12.6K]

Answer:

Part a) The scale factor of the smaller pyramid to the larger pyramid in simplest form is $\frac{7}{10}$