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2 years ago

A (1,7) B(8,-5) distance formula

Mathematics

1 answer:

Over [174]2 years ago

4 0

Answer:

The distance betweem the two points is about 14

Step-by-step explanation:

The distance formula is $d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$

According to the problem: $x_{2}=8$ , $x_{1} =1$ , $y_{2} =-5$ , and $y_{1} =7$

Substitute these numbers into the problem to get $d=\sqrt{(8-1)^{2}+(-5-7)^{2}}$

$(8-1)^2=(7)^2=49$

$(-5-7)^2=(-12)^2=144$

$\sqrt{49+144}=\sqrt{193} =13.8923349894$

You can round this number to approximately 14.

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Suppose a student carrying a flu virus returns to an isolated college campus of 7000 students. Determine a differential equation

Alex73 [517]

Answer:

The differential equation is $\frac{dx(t)}{dt} = k x(t) [7000 - x(t)]$

Step-by-step explanation:

From the question we are told that

The number of students are $n = 7000$

The number of student that have contracted the flu is x(t)

The number of student that don't have the flu is mathematically represented as

$z = 7000 - x(t)$

The rate at which the disease spread is proportional to the number of interactions between students with the flu and students who have not yet contracted it, which can be mathematically represented as

$\frac{dx(t)}{dt} \ \ \ \alpha\ \ \ x(t) [7000 - x(t)]$

=> $\frac{dx(t)}{dt} = k x(t) [7000 - x(t)]$

5 0

3 years ago

Please help I’m so confused 25 points and brainliest!!

il63 [147K]

Answer:

1=15.7

2:31.4

3:12.5

Step-by-step explanation:

1=5×3.14=15.71

2:5×2=10×3.14=31.42

3:39.25÷3.14=12.5

hope this helps

5 0

3 years ago

Read 2 more answers

-4x + y = -9 - 5x + 2y = 3 : Solve the Linear equation

Yuri [45]

-4x+y= -9 can be turned into
y= -9 + 4x

5x+2y=3 (plug y in)
5x+2(-9+4x)=3
5x-18+8x=3
5x+8x=3+18
13x=21
divide 13 on both sides
x=1.6

6 0

2 years ago

What is typically used to quantitatively compare the effectiveness of layouts? A. trial and error B. load-distance model C. expo

Andre45 [30]

Answer:

B. load-distance model

Step-by-step explanation:

A. trial and error

Trial and error is "a fundamental method of problem solving. It is characterised by repeated, varied attempts which are continued until success". But this method is not the best in order to compare effectiveness of layouts

B. load-distance model

The load-distance method is a "mathematical model used to evaluate locations based on proximity factors. The objective is to select a location that minimizes the total weighted loads moving into and out of the facility. The distance between two points is expressed by assigning the points to grid coordinates on a map". And that's the correct option since we are trying to measure the effectiveness of layouts quantitatively.

C. exponential smoothing

This is "a rule of thumb technique for smoothing time series data using the exponential window function". Wheighting observations using the exponential function. But this is a techinique used to smooth s time series not to compare effectiveness of layouts.

D.process control charts

The Control Chart is a "graph used to study how a process changes over time with data plotted in time order". But we don't want to see how the process changes the objective is quantitatively compare the effectiveness of layouts, and this one is not the best option for this.

E. mean absolute deviation (MAD)

The median absolute deviation(MAD) is "a robust measure of how spread out a set of data is. The variance and standard deviation are also measures of spread, but they are more affected by extremely high or extremely low values and non normality". But again is just a measure of spread and not allow to compare effectiveness of layouts.

8 0

3 years ago

Pleaseeeee neeeddd helppp asappp

Rufina [12.5K]

ANSWER:

Segment TS is a Chord

If AR = 14 , then QS = 14 ×2 = 28

∆ATS is an Isosceles Triangle

HOPE THIS HELP YOU , FOR ANY QUESTION PLEASE ASK ME

7 0

2 years ago