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2 years ago

Find the slope between (7,-4)and (2,-4)

1 answer:

Pie2 years ago

3 0

$(\stackrel{x_1}{7}~,~\stackrel{y_1}{-4})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{-4}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-4}-\stackrel{y1}{(-4)}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{7}}}\implies \cfrac{-4+4}{5}\implies \cfrac{0}{5}\implies 0$

yes, is a vertical line, and all vertical lines have that slope.

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A solution is heated from 0°C to 100°C. Between 0°C and 50°C, the rate of temperature increase is 1.5°C/min. Between 50°C and 10

muminat

Answer:

0.6 °C/min

Step-by-step explanation:

The relationship between rates and movement is ...

time = distance/speed

Here, the "distance" is measured in °C, and the "speed" is the rate of change of temperature.

For the first half of the heating, the time required is ...

(50°C -0°C)/(1.5 °C/min) = 50/(3/2) min = 100/3 min

For the second half of the heating, the time required is ...

(100°C -50°C)/(4/10 °C/min) = 50/(4/10) = 125 min

Then the total time is ...

((100/3) +125) min = (475/3) min

And the average rate of temperature increase is ...

total temperature change / total time

= (100°C -0°C)/(475/3 min) = 300/475 °C/min = 12/19 °C/min ≈ 0.6 °C/min

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2 years ago

What is the amount of down payment on the house that cost $65,250?

Zarrin [17]

Depends on how much percent you have to put down for the house. Like if it’s 10% then just subtract 10% from the cost of the house.

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2 years ago

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The annual 2-mile fun-run is a traditional fund-raising event to support local arts and sciences activities. It is known that th

victus00 [196]

Answer: 0.0228

Step-by-step explanation:

Given : The mean and the standard deviation of finish times (in minutes) for this event are respectively as :-

$\mu=30\\\\\sigma=5.5$

If the distribution of finish times is approximately bell-shaped and symmetric, then it must be normally distributed.

Let X be the random variable that represents the finish times for this event.

z score : $z=\dfrac{x-\mu}{\sigma}$

$z=\dfrac{19-30}{5.5}=-2$

Now, the probability of runners who finish in under 19 minutes by using standard normal distribution table :-

$P(X$

Hence, the approximate proportion of runners who finish in under 19 minutes = 0.0228

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2 years ago

PLS HELP. Find the first four terms of the recursive sequence defined by the following formula:

Gnoma [55]

Answer:

see explanation

Step-by-step explanation:

Given the recursive formula $a_{n}$ = $\frac{a_{n-1} }{4}$ and

$a_{4}$ = 2 $\frac{1}{4}$ = $\frac{9}{4}$ , then

$\frac{a_{3} }{4}$ = $\frac{9}{4}$ ( multiply both sides by 4 )

a₃ = 4 × $\frac{9}{4}$ = 9

$\frac{a_{2} }{4}$ = 9 ( multiply both sides by 4 )

a₂ = 36

$\frac{a_{1} }{4}$ = 36 ( multiply both sides by 4 )

a₁ = 144

The first 4 terms are

144, 36, 9, 2 $\frac{1}{4}$

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3 years ago

For a quantity that changes frequently from month to month, the best kind of graph is a pie chart.

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For a quantity that changes frequently from month to month, the best kind of graph is a pie chart.a true

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