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lara31 [8.8K]
3 years ago
6

The houck family's train traveled 552 miles in 6 hours. The Roberts family traveled at 744 miles in 8 hours which family is trav

eling at a faster rate, how much faster
Mathematics
1 answer:
rusak2 [61]3 years ago
6 0

Answer: Both families were travelling at the same speed/rate of 1mile/0.65mins or 1mile/0.01hr.

Step-by-step explanation: Speed of Houck family's train = 552m/6hrs

speed of Robert family's train = 744m/8hrs.

Therefore considering Houck speed,

552miles = 6hours

1mile = (6 x 60)/552

= 360/552

= 0.65minutes. Average speed = 1mile/0.65mins. Or 1mile/0.01hr

For Robert

744miles = 8hours

1mile = ( 8 x 60 )/744

= (480/744)minutes

= 0.645

= 0.65minutes. Average speed = 1mile/0.65mins. Or 1mile/0.01hr

Conclusion: Both families were travelling at the same speed/rate.

To get that minutes in hour, just divide by 60 to get concert to hours.

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Answer:

v=a+ 2e1= [3 1 1 1] x^{T}.

Step-by-step explanation:

Let a = ^{}\left[\begin{array}{ccc}\\1&1&1\\\end{array}\right] ^{T}and we know that\alpha=±║α║₂= 2.

As we have gone over in class, the formula for v is v= a-\alphae1

with the sign of chosen to avoid subtraction. This gives v=a+ 2e1= [3 1 1 1] x^{T}.

Disclaimer ;The question is incomplete

Question:

Determine the Householder transformation that annihilates all but the first entry of the vector[1 1 1 1]>Specifically, if

I-2vv^{T}/v^{T}v\left[\begin{array}{ccc}1\\1\\1\\1\end{array}\right]==\left[\begin{array}{ccc}\alpha \\0\\0\\0\end{array}\right]

what are the values of α and v?

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learn more about it on

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A park has a large circle painted in the middle of the playground area. The circle is divided into 4 equal sections, and each se
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First you need to find the area of the whole circle.\pi  r^{2}
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Putting \pi after the 100 because that is what is commonly done. 

Because the circle is then being split into 4 equal sections, we need to find 1/4 of the area of the whole circle to find the area of one of these sections. 

Since the area of the whole circle is 100 \pi then we just divide that by 4, 
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all people who live in Ohio live in the United States.rewrite the statement as a conditional and write the converse of the condi
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A conditional statement is written in the if-then form. The hypothesis is the first or "if" part while the conclusion is the "then" or then part. Thus, the conditional statement would be

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If a person lives in the United states, then they live in Ohio

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The equations y=x22−8 and y=2x−2 are graphed below. What are the solutions to the equation x22−8=2x−2?
pentagon [3]

Answer:

x= -2   and x = 6

Step-by-step explanation:

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Match each system of equations to its graph. y = 2x + 1 y = x + 2 y = 3x y = x + 3 y = 2x − 2 y = x − 2 y = 2x + 3 y = x + 5 y =
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The matchup are:

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<h3>What does the graph of an equation shows?</h3>

The graph of the linear equation is known to be one that often brings or  set the  points that can be found on the coordinate plane and it is one that shows all the solutions to the equation.

Note that when  all variables stands for real numbers, a person can be able to use graph to show the equation and this is often done through plotting the points to show a pattern and then link up the points to have all the points.

From the above, the pictures that have all the points as shown on the graph are:

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