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NikAS [45]
3 years ago
8

The mean height of plants is 18 inches. The height of seven plants are 12 inches, 13 inches, 15 inches, 15 inches, 17 inches, 23

inches, and 24 inches. Find the height of the eighth plant.
Mathematics
1 answer:
ahrayia [7]3 years ago
3 0

Answer:

25 inches

Step-by-step explanation:

i first started with 18×8=144 then i did 144-119 and got 25.

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Use calculus to find the area of the triangle with the vertices (0, 5), (2, -2), and (5, 1).
guajiro [1.7K]

The area of the triangle with the vertices (0, 5), (2, -2), and (5, 1) by using the calculus is  21 square unit.

We need to find the equation among all possible pairs and then integrate the equations from one co-ordinate to another co-ordinate

Equation of line passing through (0,5) and (2,-2) is

y-5 = [(-2-5)/(2-0)](x-0)

=>y-5 = (-7) /2x

=>y= (-7/2x)+5 -------(eq1)

Equation of line passing through (0,5) and (5,1) is

y-5 = [(1-5) / (5-0)](x-0)

=>y-5 = (-4/5)x

=>y = (-4/5)x+5-------(eq2)

Equation of line passing from (2,-2) and (5,1) is

y-(-2) = [[1 - (-2)] / (5-2)] / (x-2)

=>y+2=(3/3)(x-2)

=>y=x-4--------(eq3)

Now, we use definite integration to find the area between the different equation of line.

So, area enclosed between the equations is given by the

area =\int\limits^5_2[(-4/5)x+5 - (-7/2)x + 5)dx  + \int\limits^5_1[(-4/5)x+5 -(x-4)]dx

=>area=\int\limits^5_2(7/2-4/5)x dx + \int\limits^5_1((-9/5)x+9)dx

Using properties of integration,\int\limits x\, dx=x^{2}/2

=>area=\int\limits^5_2(27/10)x dx + \int\limits^5_1(-9/5)x+9)dx

=>area=([27/10)×[5² - 2²])/2 + [ (-9/5)×(5²-1²) ]/2 +9×(5-1)

=>area=(27/20)×(25-4) + (-9/5)×24+9×4

=>area = (27×21)/20 + (-216)/5+ 36

=>area=(567/20) - (216/5) + 36

=>area= [(567-261×4)+(36×20)]/20

=>area=[(567-864)+720]/20

=>area=423/20

=>area=21 square unit.

Hence, area of triangle is 21 square unit.

To know more about area of triangle, visit here:

brainly.com/question/19305981

#SPJ4

4 0
1 year ago
Anyone want a BRAINLIEST, 60 POINTS?!?!? THEN PLZ HELP ME FIRST CORRECT ANSWER GETS BRAINLIEST
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Answer:

Step-by-step explanation:

y=0.860x17+3.302

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Answer:

the first one

Step-by-step explanation:

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yvette has scores of 72 78 66 and 81 on her algebra tests. What score must she make on the final exam in order to pass the cours
sergij07 [2.7K]
72+28+66+81=297
360-297=63
She would need to score 63 on her last exam.
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Find the value of ....
kaheart [24]
I don't think this is middle school...

(2^8 x 3^-5 x 6^0)^-2 x ((3^-2)/(2^3))^4 x (2^28)

(256 x (1/243))^-2 x ((1/9)/(8))^4 x 268435456

1.05349794239^-2 x (<span>0.01388888888)^4 x 268435456
</span><span>
0.90101623534 x </span><span>3.72108862e-8 x 268435456

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9



9 is your answer.
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