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jolli1 [7]
2 years ago
10

M. Section 4.1

Mathematics
1 answer:
vlabodo [156]2 years ago
7 0

According to the given function, it is found that fewer than 38.1% of U.S. voters will use punch cards or lever machines starting from the year of 2004.

<h3>What is the function?</h3>

P(t) = -2.5t + 63.1

  • In which t is the number of years after 1994.

It will be fewer than 38.1% when:

P(t) < 38.1

Hence:

-2.5t + 63.1 < 38.1

-2.5t < -25

2.5t > 25

t > 10

Fewer than 38.1% of U.S. voters will use punch cards or lever machines starting from the year of 2004.

You can learn more about functions at brainly.com/question/25537936

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A competitive diver dives from a 33-foot high diving board. The height of the diver in feet after 't' seconds is given by u(t) =
ludmilkaskok [199]

Answer:

t  = 0.375s

Step-by-step explanation:

Given

h(t) = -16t^2 + 4t + 33 --- driver 1

Rate = 2ft/s -- driver 2

height = 33ft

Required

The time they passed each other

First, we determine the function of driver 2.

We have that:

Rate = 2ft/s and height = 33ft

So, the function is:

h_2(t) = Height - Rate * t

h_2(t) = 33 - 2t

The time they drive pass each other is calculated as:

h(t) = h_2(t)

-16t^2 + 4t + 33= 33 - 2t

Collect like terms

-16t^2 + 4t + 2t= 33 - 33

-16t^2 + 6t= 0

Divide through by 2t

-8t + 3= 0

Solve for -8t

-8t  = -3

Solve for t

t  = \frac{-3}{-8}

t  = 0.375s

7 0
3 years ago
How many ways are there to fill either the pitcher or catcher field position (but not both) from among the 25 players (leaving t
Artemon [7]

Using the permutation formula, it is found that there are 600 ways to fill the pitcher and catcher positions.

The order is important, as one player is the pitcher and the other is the catcher, hence the <em>permutation formula </em>is used to solve this question.

<h3>What is the permutation formula?</h3>

The number of possible permutations of x elements from a set of n elements is given by:

P_{(n,x)} = \frac{n!}{(n-x)!}

2 players are taken from a set of 25, hence the number of ways is given by:

P_{(25,2)} = \frac{25!}{23!} = 600.

More can be learned about the permutation formula at brainly.com/question/25925367

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4 0
2 years ago
Question 6 of 10
Maksim231197 [3]

Answer:

(2.5 , 3.5)

Step-by-step explanation:

We can use the midpoint formula . Here the points are , (2,2) and (3,5) .

• <u>Using</u><u> </u><u>Midpo</u><u>int</u><u> Formula</u><u> </u><u>:</u><u>-</u><u> </u>

⇒ M = { (x1 + x2)/2 , (y1 + y2)/2 }

⇒ M = ( 2+3/2 , 5+2/2 )

⇒ M = ( 5/2 , 7/2 )

⇒ M = ( 2.5 , 3.5 )

<h3><u>Hence </u><u>the</u><u> </u><u>midpoint</u><u> </u><u>is</u><u> </u><u>(</u><u>2</u><u>.</u><u>5</u><u> </u><u>,</u><u> </u><u>3</u><u>.</u><u>5</u><u>)</u></h3>
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3 years ago
Someone help me I need to get this finished by tomorrow ASAP
zysi [14]
X=2 shown in the work below.

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3 years ago
A string of length if meter is cut into 6 equal pieces. What is the
Cerrena [4.2K]

Answer:

1/3

Step-by-step explanation:

2/6=1/3

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