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3 years ago

Find the rule for the following sequence, and then find the 10th term of the sequence.

Mathematics

1 answer:

adell [148]3 years ago

5 0

Step-by-step explanation:

1/2, 2, 9/2, ....

equivalent with :

½, 4/2, 9/2, ...

the rule is : Un = n²/2

so, U10= 10²/2 = 100/2= 50

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Minchanka [31]

<h3>Answer: x = 5/3 and y = 0</h3>

note: the fraction 5/3 approximates to 1.667

========================================

Work Shown:

Add the equations straight down. Notice how the x terms and y terms line up nicely.

Adding up the x terms straight down gives: 3x+3x = 6x

Then adding the y terms gives: 4y + (-4y) = 4y-4y = 0y = 0, so the y terms cancel out

Finally adding the '5's on the right hand side of each equation gives: 5+5 = 10

----------

After those those three sets of additions, we end up with this new simpler equation: 6x = 10

To isolate x, we divide both sides by 6

6x = 10

6x/6 = 10/6

x = 10/6

x = 5/3 .... divide both parts by 2 to reduce

The answer for x as a fraction is x = 5/3 which approximates to x = 1.667

Use this x value to find y

3x + 4y = 5

3(5/3) + 4y = 5 ... replace x with 5/3

5 + 4y = 5

4y = 0 .... subtract 5 from both sides

y = 0 .... divide both sides by 4

So when x = 5/3, it leads to y = 0

These two values pair up to form the solution to the system.

If you were to graph the two lines, then they would cross at the approximate location (1.667, 0)

3 0

4 years ago

Find the area of the region bounded by the parabola y = 5x^2, the tangent line to this parabola at (4, 80), and the x-axis.

o-na [289]

First we have to find the tangent line:
y - y o = f ` ( x o ) * ( x - x o )
f ` ( x ) = 10 x
y - 80 = 40 ( x - 4 )
y = 40 x - 160 + 80
y = 40 x - 80
There are 2 parts of this region:
A = $\int\limits^2_0 {5 x^{2} } \, dx + \int\limits^4_2 {(5 x^{2} -40x+80)} \, dx= \\ 5 x^{3} /3 \left \{ {{2} \atop {0}} \right. +( 5 x^{3} -20 x^{2} +80x) \left \{ {{4} \atop {2}} \right.$
A = 40/3 + 320/3 - 320 + 320 - 40/3 + 80 - 160 = 320/3 - 240/3 = 80/3

4 0

3 years ago

4. Blood pressure Larry came home very excited after a

Masteriza [31]

Answer:

<h2>Hey, It's <u><em>Trinity</em></u> here to help ya.</h2>

She should say "Oh hunny that is amazing how high/low was it? Where is the other 10%? Im very happy to hear about this!"

Thats how i would respond b/c he never said how high or low the blood pressure is. I would also wonder where is the other 10% at, you know?

<u><em>Welp Trinity out I hoped i could help!!</em></u>

Step-by-step explanation:

7 0

3 years ago

Can someone pls help

NARA [144]

Answer:

the answer would be B 36*27=27*36

Step-by-step explanation:

This is because the number placement changed with the numbers staying the same.

Hope this helps! :)

And have a great Friday!!

7 0

3 years ago

15^4-10+36/10=? can someone help me with this?

son4ous [18]

Answer:

5065.1

Step-by-step explanation:

To go down the line, you need to do the 15 x 15 x 15 x 15 (15^4), in which equals 50,625. Then, 50,625 - 10 which equals 50,615. Next, 50,615 + 36 which equals <u>50,651.</u> Finally, you would need to do <em>50,651 ÷ 10. </em>Making it *<u>5065.1*</u>

5 0

3 years ago