Question

A student measured the maximum mass of salt that can dissolve in 100 mL of water at five different temperatures.

Which variable should go on the y-axis?

Answer 1

[AI-generated answer — Bot GPT 3.5]

The variable representing the maximum mass of salt that can dissolve should go on the y-axis.

Answer 2

Which type of graph would best show the data collected from measuring time for a ball to fall from varying heights?

Answer 3

[AI-generated answer — Bot GPT 3.5]

A scatter plot would be the best type of graph to show the data collected from measuring time for a ball to fall from varying heights.

Answer 4

A student measured the flow time of 10 g of syrup at different temperatures and graphed the data.

What is the dependent variable shown on this graph?

Answer 5

[AI-generated answer — Bot GPT 3.5]

The dependent variable shown on this graph is the flow time of the syrup.

Answer 6

What is the relationship between the variables on this graph?

Answer 7

[AI-generated answer — Bot GPT 3.5]

The relationship between the variables on the graph would likely be an inverse relationship. As the temperature increases, the flow time of the syrup would decrease. This is because higher temperatures tend to decrease the viscosity of fluids, making them flow more easily.

Answer 8

Rewrite 0.86 in scientific notation.

Answer 9

[AI-generated answer — Bot GPT 3.5]

0.86 in scientific notation is 8.6 x 10^-1.

Answer 10

Combine the powers of 10.

Answer 11

[AI-generated answer — Bot GPT 3.5]

The powers of 10 can be combined as 8.6 x 10^-1 is equivalent to 8.6 x 10^-1.

Answer 12

Since adding numbers expressed in scientific notation is like a special case of combining like terms, you can think of the sum (8.4×10−6)+(6.5×10−6)

instead as 8.4x + 6.5x.

Enter the correct answer in the box to simplify the related expression.

Answer 13

[AI-generated answer — Bot GPT 3.5]

To simplify the expression (8.4×10^(-6)) + (6.5×10^(-6)), you can combine the coefficients (8.4 and 6.5) and keep the same exponent (-6).

The simplified expression is 14.9×10^(-6).

Answer 14

Subtract.

56,800,000,000−(5.1×1010)
Enter the correct numbers in the boxes to complete each step.
Convert the first number to scientific notation.

Answer 15

[AI-generated answer — Bot GPT 3.5]

To convert 56,800,000,000 to scientific notation, we can write it as 5.68 × 10^10.

Answer 16

Subtract.

56,800,000,000−(5.1×1010)
Enter the correct numbers in the boxes to complete each step.
Combine like terms.

Answer 17

[AI-generated answer — Bot GPT 3.5]

To combine like terms, we subtract the coefficient of the second term from the coefficient of the first term.

56,800,000,000 - (5.1 x 10^10) = (5.68 x 10^10) - (5.1 x 10^10)

= (5.68 - 5.1) x 10^10

= 0.58 x 10^10.

Answer 18

Subtract.

56,800,000,000−(5.1×1010)
Enter the correct numbers in the boxes to complete each step
Convert to scientific notation.

Answer 19

[AI-generated answer — Bot GPT 3.5]

To convert 0.58 x 10^10 to scientific notation, we can write it as 5.8 x 10^9.

Answer 20

Add.

2.9 ×105+  8.7×105
Express your answer in scientific notation.

Answer 21

[AI-generated answer — Bot GPT 3.5]

To add 2.9 × 10^5 and 8.7 × 10^5, we can add the coefficients and keep the same exponent.

2.9 × 10^5 + 8.7 × 10^5 = (2.9 + 8.7) × 10^5

= 11.6 × 10^5

= 1.16 × 10^6

Therefore, the sum is 1.16 × 10^6 in scientific notation.

Answer 22

Subtract.

11.3 ×10−3−  6.7×10−3
Express your answer in scientific notation.

Answer 23

[AI-generated answer — Bot GPT 3.5]

To subtract 11.3 × 10^-3 from 6.7 × 10^-3, we can subtract the coefficients and keep the same exponent.

(11.3 × 10^-3) - (6.7 × 10^-3) = (11.3 - 6.7) × 10^-3

= 4.6 × 10^-3

Therefore, the difference is 4.6 × 10^-3 in scientific notation.

Answer 24

Add.

18,000,000+3.4×107
Express your answer in scientific notation.

Answer 25

[AI-generated answer — Bot GPT 3.5]

To add 18,000,000 and 3.4 × 10^7, we need to convert 18,000,000 to scientific notation.

18,000,000 = 1.8 × 10^7

Now we can add the coefficients and keep the same exponent.

1.8 × 10^7 + 3.4 × 10^7 = (1.8 + 3.4) × 10^7

= 5.2 × 10^7

Therefore, the sum is 5.2 × 10^7 in scientific notation.

Answer 26

Subtract.

7.3×10−6−0.0000047
Express your answer in scientific notation.

Answer 27

[AI-generated answer — Bot GPT 3.5]

To subtract 7.3×10^-6 and 0.0000047, we can write 0.0000047 in scientific notation:

0.0000047 = 4.7 × 10^-6

Now we can subtract the coefficients and keep the same exponent.

(7.3 × 10^-6) - (4.7 × 10^-6) = (7.3 - 4.7) × 10^-6

= 2.6 × 10^-6

Therefore, the difference is 2.6 × 10^-6 in scientific notation.