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2 years ago

A line contains (34,12) and (32,48) what is the slope of the line in simplified form? HELP ASAPl

Mathematics

1 answer:

Tcecarenko [31]2 years ago

4 0

Answer:

$m=-18$

Step-by-step explanation:

1. The line contains the points (34,12) and (32,48). Then, you need to use the slope formula, which is:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

2. When you substitute values into the formula, you obtain:

$y_{2}=48\\y_{1}=12\\x_{2}=32\\x_{1}=34$

$m=\frac{48-12}{32-34}\\m=\frac{36}{-2}\\m=-18$

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A phase modulator produces a maximum phase shift of 45 degrees. The modulation frequency range is 300 to 4000 Hz. What is the ma

sergejj [24]

Answer:

Maximum frequency deviation is 2616.29509 Hz

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Max frequency deviation=2616.29509 Hz

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2 years ago

The rectangular playground in tim's school is three times as long as it is wide. the area of the playground is 75 square meters.

qwelly [4]

Let x be the width of the playground, then 3x is the length of the
<span>playground

х * 3х = 75
3x</span>² = 75
x² = 25
x = 5 m (width)
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Perimeter = 2(5+15) = 2*20 = 40 meters.

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2 years ago

Paco's cell phone carrier charges him $0.20 for each text message he sends or receives, $0.15 per minute for calls, and a $15 mo

Katarina [22]

Given:

Paco's cell phone carrier charges him $0.20 for each text message he sends or receives, $0.15 per minute for calls, and a $15 monthly service fee. Paco is trying to keep his bill for the month below $30.

To Find:

The number of texts 't' Paco can send/receive in a month.

Answer:

$0\leq t$

best describes the number of texts he can send or receive to keep his bill less than $30 in a month.

Step-by-step explanation:

Paco wants to keep is monthly bill below $30.

We see that he has to pay a foxed monthly service fee of $15. This means he is only left with a limit of $30 - $15 = $15 for his monthly calls and texts.

That is, the amount he has to pay for texting and calling has to be less than $15.

For texts, the cell phone carrier charges $0.20 for sending/receiving texts.

For calls, he is charged $0.15 per minute.

Let the number of text messages Paco can send or receive in a month be denoted by 't'.

Let the number of minutes Paco can call in a month be denoted by 'c'.

Then, the total cost of text messages he can send or receive per month would be 0.20t and the total cost of the minutes he spends on calls would be 0.15c. Together, the sum of these has to be less than $15 if his monthly bill has to be kept less than $30 (accounting for the monthly service fee).

So,

$0.20t+0.15c$

The number of texts he can send will dpend on the number of minutes he spends on his calls. For Paco to spend maximum number of texts, he has to spend 0 minutes on calls.

So, putting c = 0, the aboce equation can be written as

$0.20t+0$

That is, Paco has to send and receive less than 75 texts.

So,

$0\leq t$

best describes the number of texts he can send or receive to keep his bill less than $30 in a month.

3 0

2 years ago

Read 2 more answers

A minister claims that more than 60% of the adult population attends a religious service at least once a month. The null and alt

LuckyWell [14K]

Answer:

d. H0 : pˆ = .6, Ha: pˆ > .6

Step-by-step explanation:

Given that a minister claims that more than 60% of the adult population attends a religious service at least once a month.

Here the subject of interest about a proportion of adult population who attends a religious service at least once a month.

The claim is this proportion is greater than 60% and we want to check whether this claim is true.

Hence hypotheses would be for proportion only and not mean.

Since population proportion is to be checked we use p hat

Correct answer is

d. H0 : pˆ = .6, Ha: pˆ > .6

6 0

2 years ago

Find the height of a door on a scale drawing if the door is 2 meters tall and the scale is 1 centimeter = 4 meters. Round to the

erastovalidia [21]

Since 1cm represents 4 meters then .5cm would represent 2 meters.

4 0

2 years ago