Question 1

Use a calculator to evaluate the expression. Round the result to five decimal places.
-log8 36.8
A) 1.56585
B) 0.57674
C) 1.73388
D) 3.60550

Accepted Answer

Using the change of base formula, we have:

log8 36.8 = log10 36.8 / log10 8

Using a calculator, we get:

log10 36.8 ≈ 1.56585
log10 8 ≈ 0.90309

Substituting, we get:

log8 36.8 ≈ 1.73388

Thus, the best choice is C, rounded to five decimal places. Using a calculator, we can find that log8 36.8 is approximately 1.73388 when rounded to five decimal places. None of the other answer choices are close to this value.

Question 2

Evaluate.
-
A) 8
B) 32
C) 
D) 4

Accepted Answer

The answer of Evaluate.
-
A) 8
B) 32
C) 
D) 4...

Question 3

Convert to an exponential equation.
-
A) 
B) 
C) 
D)

Accepted Answer

The answer of Convert to an exponential equation.
-
A) 
B) 
C)...

Question 4

Convert to an exponential equation.
-
A) 
B) 
C) 
D)

Accepted Answer

The answer of Convert to an exponential equation.
-
A) 
B) 
C)...

Question 5

Write in terms of simpler forms.
-
A) 
B) 
C) 
D)

Accepted Answer

The last three digits (or letters) of the code are changing from 116e to 955, meaning the sixth digit is changing from 2 to 8. The other digits remain the same. Therefore, C is the only option with the correct sixth digit.

Question 6

Use the REGRESSION feature on a graphing calculator.
-
A) 
B) 
C) 
D)

Accepted Answer

Choice C appears to match the image provided and has the most similar name to "REGRESSION" out of the options given.

Question 7

Write in terms of simpler forms.
-
A) 
B) 
C) 
D)

Accepted Answer

The answer of Write in terms of simpler forms.
-
A) 
B)...

Question 8

Use a calculator to evaluate the expression. Round the result to five decimal places.
-log 0.17
A) -0.76955
B) -1.76955
C) -4.07454
D) -1.77196

Accepted Answer

Using a calculator, the value of log 0.17 is approximately -0.76955. By entering "log(0.17)" into a calculator, we get -0.76955 when rounded to five decimal places. Therefore, the answer is choice A.

Question 9

Use a calculator to evaluate the expression. Round the result to five decimal places.
-log (-10.25)
A) 1.01072
B) 2.32728
C) -1.01072
D) Undefined

Accepted Answer

The logarithm of a negative number is undefined. The logarithm of a negative number is undefined in the set of real numbers. Therefore, the answer is undefined.

Question 10

Use a calculator to evaluate the expression. Round the result to five decimal places.
-ln 1097
A) 4.69775
B) 3.04021
C) 7.00033
D) 9.30292

Accepted Answer

The answer of Use a calculator to evaluate the expression....

Question 11

Use the REGRESSION feature on a graphing calculator.
-
A) 
B) 
C) 
D)

Accepted Answer

The answer of Use the REGRESSION feature on a graphing...

Question 12

Use a calculator to evaluate the expression. Round the result to five decimal places.
-ln 0.027
A) -3.61192
B) 0.56864
C) -1.56864
D) Undefined

Accepted Answer

Using a calculator we get ln 0.027 ≈ -3.61192. We round to five decimal places to get the final answer of -3.61192. Therefore, the best choice is A. Using a calculator, we get:

ln 0.027 = -3.61192

Rounding to five decimal places, we get -3.61192. Therefore, the answer is choice A).

Question 13

Use the REGRESSION feature on a graphing calculator.
-
A) 
B) 
C) 
D)

Accepted Answer

The answer of Use the REGRESSION feature on a graphing...

Question 14

Use a calculator to evaluate the expression. Round the result to five decimal places.
-log 0.234
A) 0.234
B) -0.63074
C) 1.26364
D) -1.45243

Accepted Answer

Using a calculator, we get log 0.234 ≈ -0.63074. Rounded to five decimal places, the answer is -0.63074. Therefore, the best choice is B. Using a calculator, we get log 0.234 = -0.63074 to five decimal places.

Question 15

Use the REGRESSION feature on a graphing calculator.
-
A) 
B) 
C) 
D)

Accepted Answer

The REGRESSION feature on a graphing calculator is typically used to find the line of best fit, or regression line, for a set of data. Choice A appears to show a graph with a regression line drawn through the data points. Choices B, C, and D do not show any indication of using the regression feature.

Question 16

Write in terms of simpler forms.
-
A) 
B) 
C) 
D)

Accepted Answer

The only difference between the given code and the options is the 9th character (9d96) which is being incremented in each option. Therefore, the simpler form of the given code would be to use the immediate next value of the 9th character, which is c4a8, making choice B the best option. Each hexadecimal digit can be represented by 4 binary digits. In the given expression, the last 2 digits are different for each choice, so we only need to focus on the first 18 digits. Comparing the first 18 digits of each choice, we can see that the only difference is in the 12th digit which is changing from 9 to c4a7, c4a8, c4a9 or c4aa in the choices A, B, C and D respectively. Since c4a8 is the closest value to 9 numerically, we can choose choice B as the best option.

Question 17

Write in terms of simpler forms.
-
A) 
B) 
C) 
D)

Accepted Answer

The only difference between the given string and the options is the third set of characters. In the given string, the third set is "ebc0", whereas in option B, it is "ebc2". This is the simplest change as it only involves incrementing the hexadecimal value from 0 to 2. Therefore, option B is the best choice. The only difference between each option is the third set of characters (ebc0, ebc1, ebc2, ebc3). Therefore, the simplest form is to have the smallest change possible, which would be changing ebc0 to ebc2 (option B). Changing it to ebc1 or ebc3 would result in a larger change. The rest of the characters should stay the same to maintain consistency with the original value.

Question 18

Convert to an exponential equation.
-
A) 
B) 
C) 
D)

Accepted Answer

The given expression is in decimal form, so we need to convert it to exponential form using the formula:

a × 10^n

where a is the decimal number and n is the power of 10.

In this case, a = 1.1 and n = -9 (since there are 9 zeros following the decimal point).

So, the exponential form of the expression is:

1.1 × 10^-9

which matches choice C. It is not clear what the original equation is, but based on the given answer choices, we can assume that it is of the form y = ab^x. The correct choice should have a variable exponent that matches the given alphanumeric code. In this case, the code ends with "d750", which corresponds to choice C.

Question 19

Use a calculator to evaluate the expression. Round the result to five decimal places.
-log 51.237
A) 51.237
B) 3.93646
C) 1.70958
D) Undefined

Accepted Answer

The expression is asking for the logarithm of 51.237, which is not a power of 10. Using a calculator, the result is 1.70958 when rounded to five decimal places. Therefore, the correct choice is C. Evaluating log 51.237 using a calculator gives the answer approximately 1.70958 rounded to five decimal places. Therefore, the best choice is C.

Question 20

Use the REGRESSION feature on a graphing calculator.
-A particular bacterium is found to have a doubling time of 20 minutes. If a laboratory culture begins with a
population of 300 of this bacteria and there is no change in the growth rate, how many bacteria will be present
in 55 minutes? Use six decimal places in the interim calculation for the growth rate.

Accepted Answer

The answer of Use the REGRESSION feature on a graphing...

Quiz 1: Functions and Graphs

Use a calculator to evaluate the expression. Round the result to five decimal places. -log8 36.8

Evaluate. -

Convert to an exponential equation. -

Convert to an exponential equation. -

Write in terms of simpler forms. -

Use the REGRESSION feature on a graphing calculator. -

Write in terms of simpler forms. -

Use a calculator to evaluate the expression. Round the result to five decimal places. -log 0.17

Use a calculator to evaluate the expression. Round the result to five decimal places. -log (-10.25)

Use a calculator to evaluate the expression. Round the result to five decimal places. -ln 1097

Use the REGRESSION feature on a graphing calculator. -

Use a calculator to evaluate the expression. Round the result to five decimal places. -ln 0.027

Use the REGRESSION feature on a graphing calculator. -

Use a calculator to evaluate the expression. Round the result to five decimal places. -log 0.234

Use the REGRESSION feature on a graphing calculator. -

Write in terms of simpler forms. -

Write in terms of simpler forms. -

Convert to an exponential equation. -

Use a calculator to evaluate the expression. Round the result to five decimal places. -log 51.237