Ahmad ordered some books online for $8 each. He paid a total of $5 for shipping. The total cost of the purchase was $133. How many books did he buy?
(a) White an equation that could be used to answer the question above. First, choose the appropriate form. Then, fill in the blanks with the numbers 8,5 , and 133 . Let b represent the number of books.
8b+5=133 □b−□□
(b) Solve the equation in part (a) to find the number of books.
b=16
I Don't Know
Submit
Points R(−1,3) and S(4,1) are shown on the coordinate plane below. Donna claims that the distance between points R and S is 13 units because
(−1−4)2+(3−1)2=(−3)2+22=9+4=1
Step 3 of 3: Plot the point on the line with the y-coordinate y=−9.
Answer
Keypad
Keyboard Shortcut
Standard Form
Points can be moved by dragging or using the arrow keys. Any lines or curves will be drawn once all required points are plotted and will update whenever a point is moved.
Enable Zoom/Pan
Lines j and k are shown in the diagram below. Some of the angles created when the lines are cut by a transversal are labeled in the diagram. Select the claim that is true about lines j and k for all cases.
Use the sample data and confidence level given below to complete parts (a) through (d).
A research institute poll asked respondents if they felt vulnerable to identity theft. In the poll, n=973 and x=600 who said "yes." Use a 95\% confidence level. 䏹 Click the icon to view a table of z scores.
a) Find the best point estimate of the population proportion p.
0.617
(Round to three decimal places as needed.)
b) Identify the value of the margin of error E.
E=□
(Round to three decimal places as needed.)
Problem 1. (1 point) A function f and value a are given. Approximate the limit of the difference quotient, limh→0hf(a+h)−f(a), using h=±0.1,±0.01.
f(x)=sinx,a=π When h=0.1,hf(a+h)−f(a)=□
When h=−0.1,hf(a+h)−f(a)=□
When h=0.01,hf(a+h)−f(a)=□
When h=−0.01,hf(a+h)−f(a)=□
Note: You can earn partial credit on this problem.
18. You decide to contribute \$180 per month into a retirement account at 2.9% annually and your
company matches 50 cents for every dollar you deposit into your retirement plan. Round to two
decimal places as needed. a) What will your company contribute each month? b) What could you type in Excel to find the total of the retirement after 42 years? c) If the total value in the account after 42 years is \$265,395.85, how much interest have you
gained?
Lesson 1 Practice Problems 1. This two-way table shows the results of asking students if they prefer to have gym
class in the morning or the afternoon. morning afternoon total
grade 6 15 8 23
grade 8 18 21 39
grade 10 12 26 38
total 45 55 100 a. How many students participated in the survey?
b. How many students in grade 8 prefer to have gym in the morning?
c. How many grade 10 students participated in the survey?
d. How many students prefer to have gym in the afternoon?
The recipe makes close to 961 cups of Sprinkle Chow. After the show, the co-host eats 381 cups of Sprinkle Chow and the show's producer eats 431 cups. How much Sprinkle Chow does that leave for you to take home?
Use synthetic division to decide whether the given number is a zero of the polynomial function.
41; f(x)=4x4+8x3−x+7 Is 41 a zero of the polynomial function? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The given number is not a zero of the polynomial function. The value f(41)= ____.
(Type an integer or a simplified fraction.)
5. Geben Sie jeweils drei Stammfunktionen von f an.
a) f(x)=x5
b) f(x)=2x3+5x2−4x+7
c) f(x)=axn
d) f(x)=sinx
e) f(z)=0
f) f(t)=t−t21 6. Geben Sie eine Stammfunktion von f an, deren Graph durch den vorgegebenen Punkt P verläuft.
a) f(x)=3x5−2x3+7; P(0∣1)
b) f(x)=41x4−21x2; P(1∣0)
c) f(z)=z2−z21; P(−2∣2) 7. Geben Sie eine Stammfunktion an und berechnen Sie das Integral.
a) ∫−12(x3−x2)dx
b) ∫12(2x5−3x3+4x)dx
c) ∫−11(4x3−3x4)dx
d) ∫−13(at+bt2)dt
e) ∫14(2x3−4x1)dx
f) ∫−2−1(x22−x34)dx
Question 3 [5 points]
3.1 Graph the following piecewise function
f(x)=⎩⎨⎧x2−12x−13x≤00<x≤5x>5
(3 points) Domainct straight line Cr
3.2.1 State the domain and Range of the piecewise? (2 points) Domain: (−∞,
( ∞
r
range: [−1,9∞
4
starts at 0 Natincludir
Question Help ∇ Monica deposits $300 into a savings account that pays a simple interest rate of 4.6%. Paul deposits $400 into a savings account that pays a simple interest rate of 4.3%. Monica says that she will earn more interest in 1 year because her interest rate is higher. Is she correct? Justify your response.
□ Monica will earn \\squarein1yearwhilePaulwillearn$\square$ in 1 year. Monica is incorrect.
Monica is correct.
Find all exact solutions on the interval [0,2π). If there is more than one answer, enter them as a comma separated list.
2cos2(t)+cos(t)=1t= is help (angles)
2. Algebra: Structural Properties
(1) Determine the following structural properties for each of the binary algebraic structures below. (I suggest making a table. You don't need to prove anything.)
- Is the structure associative?
- Is the structure commutative?
- What is the cardinality of the structure (be as specific as you can)?
- Does the structure have a left/right/2-sided identity?
- Does the structure have any idempotents (an idempotent is an element of the group, x, for which x∗x=x) ?
(a) (R+,⊘), where a⊘b=ba.
(b) (L,∘), where L={f:R→R∣f(x)=ax+b,a,b∈R}, and ∘ denotes function composition.
(c) (R2,⋆), where (a,b)⋆(c,d)=(ac,ad+b).
(d) (P(S),∪), where P(S) denotes the powerset of S, and S={1,2,3}.
(e) (P(S),∩), where P(S) denotes the powerset of S, and S={1,2,3}.
Factor completely. Drag the expressions into the box if they are part of the factored form of the polynomial. If the polynomial is not factorable, drag prime. w3−2y3 Factored Form prime w−2y w2+wy+y2 w2−wy−y2 w2−2y2
The equations of three lines are given below.
Line 1: y=−2x−5
Line 2: y=−2x+4
Line 3: 3x−6y=6 For each pair of lines, determine whether they are parallel, perpendicular, or neither.
Question 9 of 75 Question 9
Factor completely. Drag the expressions into the box if they are part of the factored form of the polynomial. If the polynomial is not factorable, drag prime.
a3x2−16a3x+64a3−b3x2+16b3x−64b3
Factored Form
prime
(a−b)(a+b)a2+ab+b2a2−ab−b2(x−8)2(x+8)2(x+8)
Need help with this question?
b. What point estimate can we use to construct a confidence interval for the difference between the two datasets? Include appropriate units.
The point estimate we can use to construct a confidence interval for the difference between the two datasets is 3.065 .
c. What is the margin of error? Include appropriate units. The margin of error is ±3.499%.
d. What is the 95% confidence interval? Use interval notation. The 95% confidence interval is [−0.433,6.564].
e. Interpret the confidence interval in context of the application, using appropriate units. Confidence inteiral for the means
f. Does your interval contain zero? What does this tell us about the research question? Explain your answer in the context of your research.
Name Ibrahim #14 12/15/24 Solve Area Problems 1. Reason There is a rectangular shaped pond with a path around it, as shown. What is the area of the path? How do you know? LESSON 9.4
More Practice/Homework ONLINE
Video Tutorials and Interactive Examples path
pond
11 yd
15 yd
6 yd
10 yd Find the area of the shaded part of the rectangle.
10 mm
Question: Determine the relationship between the two triangles and whether or not they can be proven to be congruent. Answer Attempt 1 out of 3 The two triangles are related by ____, so the triangles ____.
The following table gives a two-way classification of the responses. | | Should be paid, PAID | Should not be paid, PAID | Total |
|---------------------|----------------------|-----------------------------------|-------|
| Student athlete, SA | 90 | 10 | 100 |
| Student non-athlete, SNA | 210 | 90 | 300 |
| Total | 300 | 100 | 400 | a) If one student is randomly selected from these 400 students, find the probability that this student i. Is in favour of paying college athletes
P(PAID)= ii. Favours paying college athletes given that the student selected is a non-athlete
P(PAID∣SNA)= iii. Is an athlete and favours paying student athletes
P(SA∩PAID)= iv. Is a non-athlete or is against paying student athletes
P(SNA∪PAID)=
Consider the following activation energy diagram. T1T2>T1Ea From the above activation energy diagram it is seen that the reaction rate will
\_\_\_\_\_i\_\_\_\_\_ at \_\_\_\_\_ii\_\_\_\_\_ temperature. The statement above is completed by information in
row:
Lines
Finding slope given the graph of a line in quadrant 1 that models a real-...
Your answer is incorrect.
A bucket is being filled with water. The graph below shows the water height (in mm) versus the time the water has been running (in seconds).
Use the graph to answer the questions. (a) How much does the height of the water increase for
each second the water is running?
20 mm (b) What is the slope of the line?
Question
A company orders 25 boxed lunches from a deli for \$208.75. If each boxed lunch costs the same amount, what is the unit cost of each boxed lunch? Answer Attempt 1 out of 2
\$ per lunch
Submit Answer
Evaluate the surface integral ∬SF⋅dS for the given vector field F and the oriented surface S. In other words, find the flux of F across S.
F(x,y,z)=xi−zj+ykS is the part of the sphere x2+y2+z2=9 in the first octant, with orientation toward the origin
Factor the following trinomial completely.
x2−24x+144
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. x2−24x+144=
B. x2−24x+144 is prime.
of weeks since subscribers to Lana's channel is proportional to the square root of the number already had 100 she launched her podcast. Sixteen weeks after launching her podcast, Lana
ubscribers. After 25 weeks, she had 125 subscribers.
weeks after
b. Does the number of subscribers grow at a constant rate? How do you know?
c. According to the model, how many subscribers will Lana's podacst have after 36 weeks? After 81 weeks?
For each line, determine whether the slope is positive, negative, zero, or undefined. Line 1
Line 2
Line 3
Line 4 Positive
Negative
Zero
Undefined Positive
Negative
Zero
Undefined Positive
Negative
Zero
Undefined Positive
Negative
Zero
Undefined
Let p be the population proportion for the following condition. Find the point estimates for p and q.
In a survey of 1806 adults from country A, 637 said that they were not confident that the food they eat in country A is safe. The point estimate for p,p^, is □
(Round to three decimal places as needed.)
The point estimate for q,q^, is □
(Round to three decimal places as needed.)
4. Caroline's cell phone plan costs \$32 per
month. Which table shows the sum of the
amounts that Caroline will pay for her cell
phone plan over the next 4 months? Caroline's Cell Phone Plan | Month | 1 | 2 | 3 | 4 |
|---|---|---|---|---|
| Total Amount Paid | \$0 | \$32 | \$64 | \$96 | Caroline's Cell Phone Plan | Month | 1 | 2 | 3 | 4 |
|---|---|---|---|---|
| Total Amount Paid | \$8 | \$16 | \$24 | \$32 | Caroline's Cell Phone Plan | Month | 1 | 2 | 3 | 4 |
|---|---|---|---|---|
| Total Amount Paid | \$32 | \$36 | \$40 | \$44 | Caroline's Cell Phone Plan | Month | 1 | 2 | 3 | 4 |
|---|---|---|---|---|
| Total Amount Paid | \$32 | \$64 | \$96 | \$128 | O A
O B
O C
O D
For the pair of numbers, find a third whole number such that the three numbers form a Pythagorean triple.
40,42
The third number of the Pythagorean triple is 000. (Type a whole number.)
2. Jose has a job proof reading
documents. In 1 hour he was able to
proof read 20 documents. Which equation best represents y, the
total number of documents Francisco
proofreads in x hours if he continues at
this rate? A x=y+20
B y=x+20
C x=20y
D y=20x
15. The figure shows a uniform rod (length L=1.0m, mass =2.0kg ) suspended from a pivot a distance d=0.25m above its center of mass. The angular frequency (in rad/s) for small oscillations is approximately
axis
a. 1.0
b. 2.5
c. 1.5
d. 4.1
e. 3.5
Evaluate the expression for the given value of the variables.
0.3k−4mk=20 and m=−2 The expression 0.3k−4m is equal to □ when k=20 and m=−2.
(Type an integer or a decimal. Simplify your answer.)
Aaron has two cats, Whiskers and Duchess. He gives each cat a set amount of canned food every day. He gives Whiskers a total of 14 ounces of food every 4 days. This equation describes how many ounces of food, y, Aaron gives Duchess every x days:
y=3.75x Which cat receives more food each day? Whiskers
Duchess How much food would that cat receive in 7 days?
□ ounces Submit
Work it out
Not feeling ready yet? These can help:
Multiple Choice 1 point
In the following equation, which axis is the transverse axis and what are the intercepts: 4y2−25x2=100? y - axis, (0,−5), (0,5)x - axis, (0,−5), (0,5)y - axis, (0,2), (0,−2)x - axis, (0,2), (0,−2)
Clear my selection
Write the standard form of the equation of the circle with its center at ( −7,0 ), and a radrus of 3 What is the equation of the circle in standard form?
□
(Simplify your answer.)
Let y=log2(x). Rewrite the equation so that it begins with x=. Think about how you defined y=log2(x) if you get stuck. Put a large box around both equations. Do the two equations look the same? Do the two equations mean the same thing? Are they equivalent? How do you know? This is very important. Think about it, and write a clear explanation.
Rewrite this number in decimal notation without the use of exponents or scientific notation:
4.312×1010
answer = □
Answers may be entered with or without commas, but answers must be exact (no rounding at all). Also, do not include any spaces in your answer.
Submit Question
Fred and Ann are knitting scarves. It takes Fred 8 hours to knit 32 inches. This table shows how long it takes Ann to knit different lengths:
\begin{tabular}{|c|c|}
\hline \multicolumn{2}{|c|}{ Ann's scarf } \\
\hline Hours & Inches knitted \\
\hline 2 & 9 \\
\hline 4 & 18 \\
\hline 6 & 27 \\
\hline
\end{tabular} Assuming they each knit at a constant rate, who knits faster? Fred Ann Neither; the rates are the same.
A magazine includes a report on the energy costs per year for 32 -inch liquid crystal display (LCD) televisions. The article states that 14 randomly selected 32 -inch LCD televisions have a sample standard deviation of $3.56. Assume the sample is taken from a normally distributed population. Construct 90% confidence intervals for (a) the population variance σ2 and (b) the population standard deviation σ. Interpret the results.
(a) The confidence interval for the population variance is □ , ).
(Round to two decimal places as needed.)
Interpret the results. Select the correct choice below and fill in the answer box(es) to complete your choice.
(Round to two decimal places as needed.)
A. With 10% confidence, you can say that the population variance is between □ and □
B. With 90% confidence, you can say that the population variance is less than
C. With 90% confidence, you can say that the population variance is between
□
D. With 10% confidence, you can say that the and □ population variance is greater than
The cone shown has a diameter of 8 centimeters and a slant height of 5 centimeters.
Which choice is closest to the total surface area? Use 3.14 to approximate π.
63 square centimeters
113 square centimeters
126 square centimeters
327 square centimeters
8 cm
5 cm
CLEAR
CHECK
Using the thermodynamic information in the ALEKS Data tab, calculate the standard reaction entropy of the following chemical reaction:Al2O3(s)+3H2(g)→2Al(s)+3H2O(g)Round your answer to zero decimal places.180KJ□×10 The user took a picture with their phone and the text was extracted above. The user then had a dialogue with an AI Assistant to help clarify the instructions. Dialogue Transcript: Assistant:Hello! It looks like you need to calculate the standard reaction entropy for the given chemical reaction using thermodynamic data. However, there seems to be some missing information needed to proceed with the calculation, such as the standard entropy values for the reactants and products. Could you please provide the standard entropy (S°) values for each substance involved in the reaction: Al₂O₃(s), H₂(g), Al(s), and H₂O(g)? Once you provide those values, I can help you calculate the standard reaction entropy. User:Al2O3=−321.7,H2=130.7,Al=28.3,H2O=188.8
For this week's discussion, you are asked to generate a continuous and differentiable function f(x) with the following properties:
- f(x) is decreasing at x=−6
- f(x) has a local minimum at x=−3
- f(x) has a local maximum at x=3 Your classmates may have different criteria for their functions, so in your initial post in Brightspace be sure to list the criteria for your function. Hints:
- Use calculus!
- Before specifying a function f(x), first determine requirements for its derivative f′(x). For example, one of the requirements is that f′(−3)=0.
- If you want to find a function g(x) such that g(−9)=0 and g(8)=0, then you could try g(x)=(x+9)(x−8).
- If you have a possible function for f′(x), then use the techniques in Indefinite Integrals this Module to try a possible f(x). You can generate a plot of your function by clicking the plotting option (the page option with a "P" next to your function input). You may want to do this before clicking "How Did I Do?". Notice that the label " f(x)= " is already provided for you. Once you are ready to check your function, click "How Did I Do?" below (unlimited attempts). Please note that the bounds on the x-axis go from -6 to 6 . It is recommended that you put a multiplication symbol between variables or between a variable and π (should you use it). Example: Write sin(π⋅x) instead of sin(πx).
f(x)=□
A water cup is shaped like a cone. It has a diameter of 3 inches and a slant height of 5 inches. About how many square inches of paper do you need to make a cup? Use 3.14 to approximate π. 24 square inches
47 square inches
52 square inches
31 square inches
A triangular parcel of land has sides of lengths 740 feet, 670 feet and 594 feet. a) What is the area of the parcel of land?
Round your answer to 2 decimal places
Area = b) If land is valued at \$2400 per acre (1 acre is 43,560 feet\(^{2}\)), what is the value of the parcel of
land?
Round your answer to 2 decimal places.
value =
Question Help: Worked Example
Object 1 (mass=7.4 kg) traveling in the +x direction at a speed of 13.84m/s undergoes an inelastic collision with Object 2 (mass=6.10kg) which is at rest. Object two flies off at a speed of 9.95m/s and an angle θ2=40.7∘. The diagram below is just a sketch and is not meant to have accurate angles. It is possible that Object 1 travels back and to the left, though it is *not* possible for it to travel in the -y direction. (Do you know why?) What is the total momentum in x direction after the collision? What is the momentum of Object 1 in the y direction after the collision? What is the speed of Object 1 after the collision? What is the angle θ1 in degrees? (Do not enter units)
Find the range, variance, and standard deviation of these proposal costs: 38, 45, 45, 60, 65, 90, 90, 170, 190, 200, 270, 375, 500, 1500, 2750. Check for outliers and their impact on variation.
Find the range, variance, and standard deviation of the top 10 TV personalities' salaries: 39, 38, 36, 30, 20, 19, 18, 17, 16.7, 15.6. What does this say about salary variation in general? The range is \$ \square million.