68,094 in expanded form

Justin Verlander of the Astros threw a pitch 100 miles per hour. How many seconds did it take to get to home plate. The plate is

castortr0y [4]

It will take 0.4 seconds to get to the home plate.

Given:

The speed of the pitch thrown by Justin is 100 miles per hour

The distance of home plate from the pitching rubber is 60.5 feet

To find:

The time taken by a pitch to reach the home plate

Solution:

The distance home plate from the pitching rubber = d = 60.5 feet

$1 mile = 5280 feet\\1 foot=\frac{1}{5280} mile\\60.5 feet=60.5 \times \frac{1}{5280} mile=\frac{60.5}{5280}miles$

The speed of pitch thrown by Justin = s = 100 miles/hr

The time taken by a pitch to reach the home plate = t =?

The speed of the moving object is given by dividing the distance covered from the time taken to cover that distance.

$Speed=\frac{Distance}{Time}\\s=\frac{d}{t}\\100 miles/hr=\frac{\frac{60.5}{5280}miles}{t}\\t=\frac{60.5}{5280}miles\times \frac{1}{100 miles/hr}\\= 0.000114583 hr$

In an hour there are 3600 seconds, then in 0.000114583 hours will be:

$1 hour=3600 seconds\\=0.000114583 \times 3600=0.4124988 s\approx 0.4 s$

It will take 0.4 seconds to get to the home plate.

Learn more about conversions here:

brainly.com/question/24530464

brainly.com/question/17743460

5 0

3 years ago

The table below shows the value of Henry's car at the end for each of the first 3 years after it is purchased. The values form a

SVETLANKA909090 [29]

Using a geometric sequence, it is found that the approximate value of the car at the end of the 10th year will be given by:

A. $6,974.

<h3>What is a geometric sequence?</h3>

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

$a_n = a_1q^{n-1}$

In which $a_1$ is the first term.

In this problem, the first term and the common ratio are given, respectively, by:

$a_1 = 18000, q = \frac{16200}{18000} = 0.9$

Hence the equation is:

$a_n = 18000(0.9)^{n-1}$

At the end of the 10th year, the value will be of:

$a_{10} = 18000(0.9)^{10-1} = 6974$

Hence option A is correct.

More can be learned about geometric sequences at brainly.com/question/11847927

#SPJ1

6 0

2 years ago

What is the difference between the equations of a vertical and a horizontal line?

eimsori [14]

A vertical lune is any line parallel to the vertical direction a horizontal line is any line normal to a vertical line. horizontal lines do not cross each other vertical lines do no cross each other

6 0

3 years ago

Read 2 more answers

Tori examined the pattern of exponents in the table.

Delicious77 [7]

Answer:

The value of b = 1/36

As exponent decreases, each previous value is divided by 6

If the table was extended, the value of 6^-3 would be 1/216

Step-by-step explanation:

Given in the question a table containing power of 6

We will use negative rule of exponent to write the equivalent of negative power of 6

b^{-n}= 1 / b^{n}

we know that

$6^{1} = 6$

so

$6^{-1} = \frac{1}{6^{1} }$

= 1/6

and

$6^{2} = 36\\$

So,

$6^{-2} = \frac{1}{6^{2} }$

= $\frac{1}{36}$

3 0

3 years ago

Helppppp this is timed

telo118 [61]

Answer: In order to convert Celsius to Fahrenheit, you will need to use this formula: F = 9/5C + 32. Therefore, you will need to solve for C or substitute values and solve in that manner. To find Fahrenheit temperature for -20 degrees Celsius, you can just plug it into the formula

Step-by-step explanation:

6 0

3 years ago