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Biblioteka

Final Exam F21

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On your desk: pencil/paper, calculator, Chromebook

On your browser: this test, and any of the following links

Not allowed: phones, headphones, other electronics, notes

Desmos - Graphing

Desmos - Scientific

Standard Deviation Calculator

- use POPULATION standard deviation

Formula Sheet

Hints

1) There will be no extraneous solutions; every problem will have a solution.

2) You can use your calculator for the questions involving i.

3) Use Desmos both to do the work faster and to check your work.

You are not required to show your work on Formative, but if you do, you may get partial credit. Simply type what steps you took to get your answer ("I divided both sides by 6, then subtracted 3) rather than trying to draw in Formative.

After the exam, please take the End of Course Survey. The survey is anonymous.

When you are finished with both the exam and the survey, close your Chromebook and read, draw, or study quietly. You may not get out your phone.

Good luck!

On your desk: pencil/paper, calculator, Chromebook

On your browser: this test, and any of the following links

Not allowed: phones, headphones, other electronics, notes

Desmos - Graphing

Desmos - Scientific

Standard Deviation Calculator

- use POPULATION standard deviation

Formula Sheet

Hints

1) There will be no extraneous solutions; every problem will have a solution.

2) You can use your calculator for the questions involving i.

3) Use Desmos both to do the work faster and to check your work.

You are not required to show your work on Formative, but if you do, you may get partial credit. Simply type what steps you took to get your answer ("I divided both sides by 6, then subtracted 3) rather than trying to draw in Formative.

After the exam, please take the End of Course Survey. The survey is anonymous.

When you are finished with both the exam and the survey, close your Chromebook and read, draw, or study quietly. You may not get out your phone.

Good luck!

Pitanje 1
1.

Tony and Bruce went to the concession stand. Tony bought two hotdogs and a drink and paid $8.00. Bruce bought one hotdog and two drinks and paid $7.00. What is the total cost of four hotdogs and five drinks?

Pitanje 2
2.

Natasha has $50 to buy food for her party. Pizzas cost $6 and sodas cost $1 per bottle. Natasha wants to have at least 4 bottles of soda, and she wants to have more pizzas than soda bottles. Which combinations fit her goals and budget?

Check all that apply (3).

Pitanje 3
3.
Pitanje 4
4.

Consider the function f(x) = -\frac{5}{4}(x - 2)^{2} - 5.

What transformations have been applied to the quadratic parent function to create f(x)?

Check all that apply.

Pitanje 5
5.

The quadratic parent function is shifted left 3 units, then reflected over the x-axis. What is the resulting function? You do not have to FOIL.

Pitanje 6
6.
Pitanje 7
7.

Calculate (2+3i)(1 - 5i) + 2i(3+i).

Enter your answer as a complex number in the form a+bi, with a and b real numbers. No spaces.

Pitanje 8
8.

What is the sum of the solutions to the following equation?

(Find both solutions, then add them together.)

2x^{2} + 11x + 15 = 0.

Enter your answer as a number, no spaces.

Pitanje 9
9.

For the quadratic equation x^{2} - x + 6 = 0, determine the number and type of solutions.

Pitanje 10
10.

For the quadratic equation x^{2} - x - 6 = 0, determine the number and type of solutions.

Pitanje 11
11.

Which of the following are roots of the polynomial 4x^{3}+12x^{2}+x+3?

Check all that apply (3)

Pitanje 12
12.

What is the remainder when the polynomial x^{3} - 5x^{2} + 2x - 6 is divided by (x - 2)?

Enter your answer as an integer, no spaces.

Pitanje 13
13.

For the polynomial p(x), as x \rightarrow \infty, f(x) \rightarrow -\infty and as x\rightarrow -\infty, f(x) \rightarrow -\infty.

Which of the following is true?

Pitanje 14
14.

Match each expression to its equivalent using the properties of exponents.

Stavka koja se može prevućiarrow_right_altOdgovarajuća stavka

b^{-x}

arrow_right_alt

a^{x}b^{x}

(ab)^{x}

arrow_right_alt

b^{x+y}

b^{\frac{x}{y}}

arrow_right_alt

\frac{1}{b^{x}}

b^{x} \cdot b^{y}

arrow_right_alt

\sqrt[y]{b^{x}}

Pitanje 15
15.

Simplify the expression below. Check by substituting a number for x.

\sqrt[3]{2x} \cdot \sqrt[3]{16x^{4}}

Pitanje 16
16.

Consider the equation

5 - \sqrt{2x+3} = 2

For what value of x is this equation true? Enter your answer as a number, no spaces.

Pitanje 17
17.

Which of the following is the inverse of the function f(x) = \sqrt{x+3} - 5?

Hint: Don't try to do this in your head or by looking at it. Work it out.

Pitanje 18
18.

Let A be a positive, real number. Which of the following is true as x \rightarrow \infty?

Pitanje 19
19.

Find the value of x that satisfies the equation.

2^{x} = 51

Give your answer as a number rounded to two decimal places.

Pitanje 20
20.

Find the value of x that satisfies the equation.

2 \cdot 3^{2x} - 4 = 16

Give your answer as a number rounded to two decimal places.

Pitanje 21
21.

Find the value of x that satisfies the equation.

2 - e^{x+1 } = 0

Give your answer as a number rounded to two decimal places.

Pitanje 22
22.
Pitanje 23
23.

Sandra deposits $6000 to start a savings account. Her bank gives her 2% annual interest.

1
Pitanje 24
24.

Select the expression that describes the value of the account after t years.

1
1
Pitanje 26
26.

How much more interest would Sandra earn if her account had five years of interest compounded monthly , instead of five years with annual interest?

Enter your answer as a number rounded to two decimal places.

The table below shows the average movie ticket price every five years since 1968.

The r-values for the regressions are as follows.

LinReg: 0.9861

QuadR: 0.9932

ExpReg: 0.9809

LnReg: 0.9106

1
Pitanje 27
27.

According to the r-values, which model best fits the data?

1

Use the data from the table below for the following questions.

1
Pitanje 29
29.

What is the mean of the data? Enter your answer as a number rounded to one decimal place.

1
Pitanje 30
30.

What is the standard deviation of the data?

Enter your answer as a number rounded to two decimal places.

Pitanje 31
31.

A data set has a mean of 4 and a standard deviation of 1. What is the z-score for a data value of 2.5?

Enter your answer as a number rounded to one decimal place.

Pitanje 32
32.

A data value has a z-score of 1.01. What percent of the population is greater than this data value?

Hint: draw the bell curve and read the question carefully.

A group of 200 people were surveyed about their pet ownership and exercise habits. The results are shown in the table below.

1
Pitanje 33
33.

If a person is randomly selected from the group, what is the probability, as a percent, that they own a pet?

Enter your answer as a number, no "%" or spaces.

1
Pitanje 34
34.

If a person is randomly selected from the group, what is the probability, as a percent, that they don't own pets and don't exercise weekly?

Enter your answer as a number rounded to one decimal place, no "%" or spaces.

1
Pitanje 35
35.

If a person is randomly selected from the group, what is the probability, as a percent, that they own a pet or they exercise weekly?

Enter your answer as a percent rounded to two decimal places, no "%" or spaces.

1
Pitanje 36
36.

If a person is randomly selected from the group, what is the probability, as a percent, that they own a pet, given that they exercise weekly?

Enter your answer as a number rounded to two decimal places, no "%" or spaces.

1
Pitanje 25
25.

Select the expression that describes the value of the account after t months.

Pitanje 28
28.

Estimate the value of a movie ticket in 2023 (x=12).

(Use coefficients rounded to three decimal places each.)

Choose the closest value.

Pitanje 37
37.

Are pet-ownership and exercise habits independent or dependent events?

Hint: use #33 and #36