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3 years ago

How many terms are to be considered in the series with first term - 3 and common ratio r = -4 for the sum to exceed 1507

Mathematics

1 answer:

Artemon [7]3 years ago

7 0

Step-by-step explanation:

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You are moving the robot to your classroom, which measures 30 feet by 40 feet.

AlladinOne [14]

Answer:

1) See figure attached

a) $d = \sqrt{(x_2 -x_1)^2 +(y_2 -y_1)^2}$

And if we replace we got:

$d = \sqrt{(10 -6)^2 +(15 -9)^2}= 7.211$

b) $V = \frac{d}{t}$

And if we replace we got:

$V = \frac{7.211 ft}{2 sec}=3.606 s$

Step-by-step explanation:

Part 1

We can see the plot in the figure attached.

Part 2

For this case we have two points $(x_1 , y_1) = (6,9) , (x_2 , y_2) = (10,15)$

And we want to find the distance travelled between these two points and we can use the following formula from the euclidian distance between two points:

$d = \sqrt{(x_2 -x_1)^2 +(y_2 -y_1)^2}$

And if we replace we got:

$d = \sqrt{(10 -6)^2 +(15 -9)^2}= 7.211$

Since it takes two seconds in order to go from (6.9) to (10,15) we can use the definition of velocity:

$V = \frac{d}{t}$

And if we replace we got:

$V = \frac{7.211 ft}{2 sec}=3.606 s$

6 0

3 years ago

I do not understand this

katrin [286]

Neither do i lol drop out of school

6 0

3 years ago

What coordinate do lines 2/3x+1/6y=2/3 and 4x+y=4 meet?

VMariaS [17]

Answer:

The coordinates of the lines when both lines meets at point is ( 0, 0 )

Step-by-step explanation:

Given as :

The two lines are

$\frac{2}{3}$ x + $\frac{1}{6}$ y = $\frac{2}{3}$

And 4 x + y = 4

The coordinate of the lines are obtained when the two lines intersect

Let the coordinate of intersection points are ( x , y )

Now , The first lines as

$\frac{2}{3}$ x + $\frac{1}{6}$ y = $\frac{2}{3}$

Or, Taking LCM we get ,

$\frac{4x + y}{6}$ = $\frac{2}{3}$

Cross multiplication both sides

Or, 3 × ( 4 x + y ) = 2 × 6

Or, 3 × 4 x + 3 × y = 12

Or, 12 x + 3 y = 12 ...........A

Other line is 4 x + y = 4

i.e 3 × ( 4 x + y ) = 3 × 4

or, 12 x + 3 y = 12 .........B

Solving both the line equations

(12 x + 3 y ) - ( 12 x + 3 y ) = 12 - 12

I.e x = 0 and y = 0

So coordinates are ( x , y ) = ( 0 , 0 )

Hence The coordinates of the lines when both lines meets at point is ( 0, 0 ) Answer

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3 years ago

Juanita has 16 model cars and 48 model trains. What is the ratio of the wmber of trains to the member of cars?

svetoff [14.1K]

Answer:

1:3

Step-by-step explanation:

but thats not and answer

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2 years ago

What value should replace the "?" to make the equations parallel?

Otrada [13]

The same slope would make the equations parallel. Therefore 5/3 would make them parallel.

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3 years ago

How many terms are to be considered in the series with first term - 3 and common ratio r = -4 for the sum to exceed 1507​

How many terms are to be considered in the series with first term - 3 and common ratio r = -4 for the sum to exceed 1507