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Rama09 [41]
3 years ago
8

natural sample of boron consists of two isotopes. One has an exact mass of 10.0129 amu and its percent abundance is 19.91. The o

ther isotope, of mass 11.0093 amu, has a percent abundance of 80.09. Calculate the average atomic mass.
Mathematics
1 answer:
earnstyle [38]3 years ago
5 0

Answer:

10.8109 amu

Step-by-step explanation:

The average atomic mass of boron is determined as the average of the atomic masses of both isotopes weighed by their respective abundances.

Therefore, the average atomic mass is given by:

M=10.0129*0.1991+11.0093*0.8009\\M=10.8109\ amu

The average atomic mass of boron isotopes is 10.8109 amu.

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Masja [62]

Answer:

(A) The rate of change in the price of a bushel of corn in the current year is $7.

(B) The price of a bushel of corn in the current year is $2 more than the price of a bushel of corn in the previous year.

Step-by-step explanation:

The graph for the prices of different numbers of bushels of corn at a store in the current year is shown below.

Part A:

The rate of change in the price of a bushel of corn in the current year based upon the number of bushels is known as the slope of the line.

The formula to compute the slope is:

\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Consider the ordered pairs: (4, 28) and (10, 70)

Compute the slope of the line as follows:

\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

         =\frac{70-28}{10-4}\\\\=\frac{42}{6}\\\\=7

Thus, the rate of change in the price of a bushel of corn in the current year is $7.

Part B:

The data for the price of bushels in the previous year is as follows:

Number of Bushels Price

              2                   10

              4                  20

              6                  30

              8                  40

Compute the  rate of change in the price of a bushel of corn in the previous year based upon the number of bushels as follows:

Consider the ordered pairs: (2, 10) and (6, 30)

\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

         =\frac{30-10}{6-2}\\\\=\frac{20}{4}\\\\=5

The  rate of change in the price of a bushel of corn in the previous year is $5.

Thus, the price of a bushel of corn in the current year is $2 more than the price of a bushel of corn in the previous year.

5 0
3 years ago
Solve the system of equations<br><br> system
Korolek [52]

Answer:

(3, 3 )

Step-by-step explanation:

Given the 2 equations

3x - y = 6 → (1)

6x + y = 21 → (2)

Adding the 2 equations term by term will eliminate y, that is

(6x + 3x) + (y - y) = (21 + 6), that is

9x = 27 (divide both sides by 9 )

x = 3

Substitute x = 3 into either (1) or (2) and solve for y

Using (2), then

(6 × 3) + y = 21

18 + y = 21 ( subtract 18 from both sides )

y = 3

Solution is (3, 3 )

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3 years ago
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2 years ago
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Maura receives a 3% commission on every piece of furniture she sells. one day she sold a couch for $950. How much was her commis
Ad libitum [116K]

3%=3/100=0.03

950 multiplied by 0.03=28.5

$28.5

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3 years ago
Money is borrowed at 12
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Because 1023.68 is 112% of the loan, you can divide by 1.12 to get 914, which is the answer
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