When simplifying x^3 · x^2, the exponents are added together. True False

1 answer:

8 0

When multiplying exponentials, there is a rule that states if the bases are the same, we add the exponents together.

In this problem, the two bases that are being multiplied are the same, x.

Therefore, we will add the exponents: x^3 • x^2 = x^5.

The correct answer is true. The exponents are added together when simplifying this expression.

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Ainat [17]

Answer: b

Step-by-step explanation:

8 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

A collection of dimes is arranged in a triangular array with 17 coins in the base row, 16 in the next, 15 in the next, and so fo

Crazy boy [7]

Answer:

153 coins will be there.

Step-by-step explanation:

The number of coin in the bottom row / or last row = 17

The number of coins in the second last row = 16

The number of coins in the second row = 2

The number of coins in the first row = 1

So the total number of coins = (Number of coin in the first row) + (Number of coins in the second row) + (Number of coins in the third row) + ....... + (Number of coins in the last row / seventeenth row)

Total number of coins = 1+2+3+....+16+17

Total number of coins = $\frac{17\times(17+1)}{2}=\frac{17\times18}{2}=17\times9=153$