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3 years ago

Find the circumcenter of the triangle ABC.

Mathematics

1 answer:

gtnhenbr [62]3 years ago

5 0

Triangle circumcenter
(-0.5,-2)

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Please help .......

WITCHER [35]

f(n) = n² + 20

f(1) = 1² + 20 = 21

f(2) = 2² + 20 = 24

f(3) = 3² + 20 = 29

f(4) = 4² + 20 = 36

f(5) = 5² + 20 = 45

f(6) = 6² + 20 = 56

a) first three terms

Answer: 21, 24, 29

b) how many < 50

f(5)=45, f(6)=56 so

Answer: 5

7 0

3 years ago

Use the model below to estimate the average annual growth rate of a certain country's population for 1950, 1988, and 2010, where

Morgarella [4.7K]

Answer:

The average annual growth rate of a certain country's population for 1950, 1988, and 2010 are 2.398, 0.9985 and 0.2236 respectively.

Step-by-step explanation:

The given equation is

$Y=-0.0000084x^3+0.00211x^2-0.205x+8.423$

Where Y is the annual growth rate of a certain country's population and x is the number of years after 1900.

Difference between 1950 and 1900 is 50.

Put x=50 in the given equation.

$Y=-0.0000084(50)^3+0.00211(50)^2-0.205(50)+8.423$

$Y=2.398$

Therefore the estimated average annual growth rate of the country's population for 1950 is 2.398.

Difference between 1988 and 1900 is 88.

Put x=88 in the given equation.

$Y=-0.0000084(88)^3+0.00211(88)^2-0.205(88)+8.423$

$Y=0.9984752\approx 0.9985$

Therefore the estimated average annual growth rate of the country's population for 1988 is 0.9985.

Difference between 2010 and 1900 is 110.

Put x=110 in the given equation.

$Y=-0.0000084(110)^3+0.00211(110)^2-0.205(110)+8.423$

$Y=0.2236$

Therefore the estimated average annual growth rate of the country's population for 2010 is 0.2236.

8 0

2 years ago

Louie made 8.1 liters of fruit punch using only grape juice and carbonated water. He used 4.2 liters of grape juice. The equatio

seropon [69]

4.2 +c = 8.1
c = 8.1 -4.2 = 3.9 . . . . subtract 4.2 from both sides

a.) 3.9 liters . . . . . is the appropriate choice

5 0

3 years ago

Find f'(x) for f(x)=cos^2(5x^3).

-BARSIC- [3]

d/dx cos^2(5x^3)

= d/dx [cos(5x^3)]^2

= 2[cos(5x^3)]

= - 2[cos(5x^3)] * sin(5x^3)

= - 2[cos(5x^3)] * sin(5x^3) * 15x^2

= - 30[cos(5x^3)] * sin(5x^3) * x^2

Explanation:

d/dx x^n = nx^(n - 1)

d/dx cos x = - sin x

Chain rule:

d/dx f(g(...w(x))) = f’(g(...w(x))) * g’(...w(x)) * ... * w’(x)

6 0

3 years ago

Read 2 more answers

34-62+22*3+(36-42) This is for math homework so please don't just answer for points

faust18 [17]

Answer:

Step-by-step explanation:

34−62+(22)(3)+36−42

=−28+(22)(3)+36−42

=−28+66+36−42

=38+36−42

=38+−6

=32

3 0

2 years ago

Read 2 more answers