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maria [59]
3 years ago
13

1. Write each pair of parametric equations in rectangular form. x = t +2 y = 5t + 7

Mathematics
2 answers:
Reika [66]3 years ago
5 0
T = -2 + x
T = -7/5 + 1/5 y
hjlf3 years ago
3 0

Step-by-step explanation:

t=x-2

y=5t+7

y=5(x-2)+7

y=5x-10+7

y=5x-3 is the required equation

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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
2 years ago
A collection of nickels and dimes is worth $6.10. There are 67 coins in all. How many nickels are there?
Afina-wow [57]
Joe is going to have 18 nickels!
7 0
3 years ago
Read 2 more answers
A hotel has 30 floors with 40 rooms per floor. The rooms on one side of the hotel face the water, while rooms on the other side
Ket [755]

A) Choosing a <em>stratified random sample</em> might be preferable to an <em>SRS </em>because;

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<em><u>with water view and those with golf view.</u></em>

B) The reason why a cluster sample would be a simpler option is because;

<u><em>It will divide the population into multiple clusters that makes it easier to </em></u>

<u><em>work with unlike the SRS that generalizes. The clusters would be each of </em></u>

<u><em>the 30 floors.</em></u>

We are told that the manager wanted to select 120 rooms and carry out a survey on each registered guest by asking how satisfied they were with the hotel. He decided to use a sampling method called SRS which means Simple Random Sampling.

Simple random sampling is defined as a sampling method where individuals or objects are selected randomly from a population thereby given each person or object an equal chance of selection.

A) Stratified Random sampling is a method of sampling that divides the population into smaller groups known as objects/stata. In this case Stratified random sampling would be preferred to SRS because the hotel rooms are divided into two types namely those that can view the water and those that can view the golf course and as such the Stratified random sampling would divide the population but the SRS would not do so.

B) Cluster sampling is when the population is divided into multiple groups known for assessment. The reason why it would be a simpler option is because there are 30 floors and they can be classified as clusters and surveyed per floor.

Read more at; brainly.com/question/15932504

7 0
3 years ago
Simplify:<br> 2x²(4x³-3x²+6x)
eimsori [14]
Answer
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4 0
3 years ago
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Which expression represents the calculation “add 5 and 6, then multiply by 3"?
Anarel [89]
(5 + 6)3   would represent  what you want.
5 0
3 years ago
Read 2 more answers
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