9:
-q^2 - r^2 + 3s

-9^2 - -6^2 + 3(-20)

-9^2 = -9 * -9 = 81

81 - -6^2 + 3(-20)

-6^2 = -6 * -6 = 36

81 - 36 + 3(-20)

3(-20) = -60

81 - 36 + -60

81 + 36 = 117

117 + (-60)

117 - 60= 57

57

10:
3| x + y |^2 - (xy)^2

3| 3 + -5 |^2 - (3-5)^2

(3-5) = 2

3| 3 + -5 |^2 - 2^2

|3 + -5| = 8

3|8|^2 - 2^2

8 * 8 = 64

3(64) - 2^2

2^2 = 2*2 = 4

3(64) - 4

3*64 = 192

192 - 4 = 188

188

11:
2x^2 - 5xy - y^3

2(-3)^2 - 5(-3-2) - -2^3

(-3-2) = -5

2(-3)^2 - 5(-5) - -2^3

-3^2 = -3 * -3 = -9

2(-9) - 5(-5) - -2^3

2^3 = 2 * 2 * 2 = 8

2(-9) - 5(-5) - 8

18 - 5(-5) - 8

5(-5) = -25

18 - (-25) - 8

18 + 25 - 8

18 + 25 = 43

43 - 8 = 35

35

12: -a^2 + 7b^4 -2c^3

—4^2 + 7(-2)^4 - 2(-3)^3

4^2 + 7(-2)^4 - 2(-3)^3

4 * 4 = 16

16 + 7(-2)^4 - 2(-3)^3

-2 * -2 * -2 * -2 = 16

16 + 7(16) - 2(-3)^3

-3 * -3 * -3 = -27

16 + 7(16) - 2(-27)

7 * 16 = 112

16 + 112 - 2(-27)

2 * -27 = -54

16 + 112 - -54

16 + 112 + 54

112 + 16 = 128

128 + 54 = 182

182

8 0

3 years ago

N-4n=-9+6n<br> A) (-9)<br> B) (1)<br> C) (All real numbers. }<br> D) (14)

xeze [42]

The answer is B I hope you get it.

6 0

3 years ago

What is the value of a° in the figure shown below?

VMariaS [17]

The answer would be 18 because if you put 3a+6a+a=180 (the degrees of a triangle) and solve it a becomes 18

3 0

3 years ago

The following data was collected from the manufacturing of an auto component. It represents the diameter (in mm) of that compone

kari74 [83]

Answer:

14.6

Step-by-step explanation:

(A). STEP ONE: Calculate the mean

(1). Row one = (10 + 12 + 12 + 14 ) = 48/4 = 12.

(2). Row Two: (12 + 11 + 13 + 16 ) = 52/4 = 13.

(3). Row three : (11 + 13 + 14 + 14)/4 = 13.

(4). Row four: (11 + 10 + 7 + 8)/4 = 36/4 = 9.

(5). Row five: (13 +12 + 14 + 13)/4 = 52/4 = 13.

(B). STEP TWO:

- determine the maximum and minimum value for each row.

- for each row, maximum - minimum.

Maximum values for each row:

Row one = 14, row two= 16, row three = 14, row four = 11 and row five = 14.

Minimum value for each row:

Row one = 10, row two = 11, row three = 11, row four =7 and row five = 12.

DIFFERENCES in each row :

row one = 14 - 10 = 4, row two = 16 - 11 = 5, row three = 14 - 11 = 3, row four = 11 - 7 = 4 and row five = 14 -12 = 2.

(C). STEP THREE: Calculate the mean of all the rows = 60/5 = 12.

(D). STEP FOUR : Calculate the Average Range = 18/5 = 3.6.

(E). STEP FIVE : Calculate the UCL.

A = Average rage × 0.729 = 3.6 × 0.729.

B = overall mean = 12.

UCL = A + B = 14.6.

7 0

3 years ago