10. A survey of 1000 farmers found that 600 grew paddy, 350 grew ragi, 280 grew corn, 120 grew paddy and ragi, 100 grew ragi and corn, 80 grew paddy and corn. If each farmer grew atleast any one of the above three, then find the number of farmers who grew all the three.
n(U)=125
Your goal is to be able to withdraw \$10,000 for each of the next nine years beginning one year from
today and also to withdraw \$50,000 ten years from today. The return on the investment is expected to
be 8%. The amount that needs to be invested today is closest to:
A) \$60,709.
B) \$85,629.
C) \$69,776.
D) \$117,884. Libby Company purchased equipment by paying \$5,000 cash on the purchase date and agreeing to pay
\$5,000 every six months during the next four years. The first payment is due six months after the
purchase date. Libby's incremental borrowing rate is 8%. The equipment reported on the balance sheet
as of the purchase date is closest to:
A) \$45,000.
B) \$38,664.
C) \$33,664.
D) \$40,000.
10,000
0.08
Other Income \$11 Use the pie chart shown above to answer the following questions.
For each answer, do not type the dollar symbol; it is provided for you.
1) What is the total amount of revenue for World Relief Charities in 2019?
$□ million
2) How much more revenue was generated from private cash contribution than from government grants?
$□ million
3) How much less revenue was generated from gifts-in-kind than from private cash contribution?
$□ million
4) Which source on the chart generated the most money? Select an answer
Functions and Lines
Finding distances between points that share a common coordinate given... Find the distance between point E and point F. Distance: □
f(x)=0,2x4−2x2+2,5 Entlang der x-Achse verläuft eine ICE-Trasse. Der gesamte
Bereich zwischen Fluss und ICE-Trasse soll als Naturschutz-
gebiet eingerichtet werden. a) Weisen Sie durch Rechnung nach, dass die Nullstellen der
Funktion bei x1/2≈±1,21 und x3/4≈±2,92 liegen.
(6 BE) b) Berechnen Sie die Fläche des Naturschutzgebietes. (6 BE)
Mr. Beecher and Mrs. Carter are teachers at the same school. They leave their houses at the same time in the morning to get to school.
Mr. Beecher lives 8 miles away from school and rides his bicycle to work. Every minute, he gets 61 of a mile closer to school.
Mrs. Carter lives 20 miles away from school and drives her car to work. Every minute, she gets 21 of a mile closer to school.
After how many minutes will Mr. Beecher and Mrs. Carter first be the same distance away from school?
minutes
Determine whether the formula determines y as a function of x. If not, explain wh
x=8y2 Does the equation describe y as a function of x ?
A. Yes, because for the given formula, each x does not lead to a unique y.
B. No, because for the given formula, each x does not lead to a unique y.
C. No, because for the given formula, each x leads to a unique y.
D. Yes, because for the given formula, each x leads to a unique y.
Which statement is true about the graph of the line representing Debi's data?
Debi walks 1,875 steps per lap arourd the mall.
One lap around the mall is equal to 2.425 steps.
One lap around the mall is equal to 4,300 steps.
Debi walks 6,175 steps per lap around the mall.
Compressed air can be pumped underground into huge caverns as a form of energy storage. The volume of a cavern is 5.1×105 m3, and the pressure of the air in it is 8.1×106 Pa. Assume that air is a diatomic ideal gas whose internal energy U is given by U=25nRT. If one home uses 30.0 kWh of energy per day, how many homes could this internal energy serve for one day?
Number of homes =
Four numbers are shown.
2.782.6532.092.521 Which list shows these numbers in order from greatest to least? A 2.78,2.653,2.521,2.09 B 209,2.521, 2.653, 2.78 C 2.521, 2.09, 2.653, 2.78 D 2653,209,2.78,2521
Create four (4) problems that include fractions. Solve the problems using estimation. Each problem must contain:
* at least three (3) fractions
* two (2) must include the addition of fractions
* two (2) must include subtraction of fractions
* an explanation of your reasoning process for each problem
Graph the function and identify intervals on which the function is increasing, decreasing, or constant.
g(x)=∣x+2∣+∣x−4∣−5 Choose the correct graph below.
A.
B.
C.
D. The function g(x) increases in the interval □
(Type your answer in interval notation.)
Directions: Complete the function tables using the 'rule' given for each set. Submit only the OUTPUT number in your answers.
Table#1.
Input RULE = Input the # ⋅ 3 Output
11 11⋅3= ?
5 5⋅3= ?
10 10⋅3= ?
9 9⋅3= ?
8 8⋅3= ?
If 8000 dollars is invested in a bank account at an interest rate of 9 per cent per year, compounded continuously. How many years will it take for your balance to reach 20000 dollars? □
A group of students was given two tests T 1 and T 2 and the following results obtained:
\begin{tabular}{|l|l|l|}
\hline Test & Mean & Variance \\
\hline T1 & 70 & 100 \\
\hline T2 & 50 & 81 \\
\hline
\end{tabular} Which test is more variable?
a. T1
b. T1 and T2 have the same variability
c. T2
d. Cannot be determined
Use a grapher to find all local maxima and minima and the values of x where they occur.
f(x)=x3−1.2x+2 Find the local maxima and the values of x where they occur. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The function f(x) has local maxima values y≈□ at x≈□
(Round to three decimal places as needed. Use a comma to separate answers as needed.)
You go to the doctor and he gives you 10 milligrams of radioactive dye. After 20 minutes, 8 milligrams of dye remain in your system. To leave the doctor's office, you must pass through a radiation detector without sounding the alarm. If the detector will sound the alarm if more than 2 milligrams of thendye are in your system, how long will your visit to the doctor take, assuming you were given the dye as soon as you arrived? Give your answer to the nearest minute. You will spend □ minutes at the doctor's office.
Use a grapher to find all local maxima and minima and the values of x where they occur.
f(x)=x3−1.2x+2 Find the local maxima and the values of x where they occur. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The function f(x) has local maxima values y≈□ at x≈□.
(Round to three decimal places as needed. Use a comma to separate answers as needed.)
Determine whether the function is bounded above, bounded below, or bounded on its domain.
y=2−x2 How is the function bounded on its domain?
A. The function is bounded.
B. The function is only bounded above.
C. The function is neither bounded above nor bounded below.
D. The function is only bounded below.
Yesterday, 85 of the 64 students in a contest gave their speeches. How many students gave their speeches?
Write your answer in simplest form.
students
Question 4 Graph the system below.
Then write its solution.
{y=2x2−4y=−2x If there is more than one solution, use the "or" button.
Solution(s): (x,y)=(∏]=□)
=ill in the blanks below. Find the slope of the line passing through the points (6,3) and (6,−8).
slope: □ Find the slope of the line passing through the points (−4,5) and (5,5).
slope: □
f(x)=x2−4x+32x2−4x+3 Use Key Idea 4 (pp.152-3 in APEX Calculus) by applying the principles to the given function. 1. Determine the domain of f. (as an interval) 2. Find the critical values of f. (Separate multiple answers by commas.) 3. Find the possible points of inflection of f (x-values only). Note: Use your graphing calculator to approximate the value to at least 4 decimal places. (Separate multiple answers by commas.) 4. Find the vertical asymptotes. x= (Separate multiple answers by commas.) 5. Find the horizontal asymptotes. y= (Separate multiple answers by commas.) 6. Use a number line analysis to complete the following.
f is increasing on: (as an interval)
f is decreasing on: (as an interval)
f is concave up on: (as an interval)
f is concave down on: (as an interval) 7. Evaluate f at each critical point and possible point of inflection. List all such points below. Each point should be entered as an ordered pair (that is, in the form (x,y)). (Separate multiple answers by commas.)
Note: You can earn partial credit on this problem
Find the slope of the line passing through the points (−5,−9) and (5,−9).
slope: □ Find the slope of the line passing through the points (−3,5) and (−9,5)
slope: □
1) In Tara's math class, each student made up a number pattern for
classmates to identify. These are the numbers that Tara wrote. Find
the pattern and identify the first and seventh numbers in the table. a. first number: b. seventh number: Tara's Pattern |1st|2nd|3rd|4th|5th|6th|7th|
|---|---|---|---|---|---|---|
| |83| 165| 329| 6417| 12833| |
00 35 for the first ounce or fraction
Pablo feeds his dog 32 pounds of dog food for each meal. Pablo has just bought 30 pounds of dog food. For how many meals will the food last?
Write your answer in simplest form.
meals
2) In 1990 first-class mail cost $0.25 for the first ounce or fraction and $0.20 for each additional ounce or fraction. Annette sent two letters. One weighed 3 ounces. The other weighed 521 ounces. What was the total cost? 3) David told Jen, "Write three two-digit numbers. I'll add three more and give you the sum right away." Jen wrote 53, 42, and 31. Then David wrote 46, 57, and 68 and said the sum was 297. Was he right? What pattern did he use? Directions: Choose a strategy and solve. 4) When Felix started his paper route, he had 25 customers. Every second week he gained 2 new customers. Every third week he lost a customer. How many customers did he have in the seventh week? 5) In three days Speedy the squirrel ate 30 peanuts. On both the second and third day, Speedy ate 7 peanuts more than on the day before. How many peanuts did Speedy eat the first day?
GUIDED PRACTICE
See Example
1 Identify the quadrant that contains each point.
11A
(2) B 3 C
4.D
See Example
2) Plot each point on a coordinate plane.
5(−1,2)6(2,−4)
7) (−3,−4)8(5,0)
ee Example
(3) Give the coordinates of each point. 9 J
10P
115
12M INDEPENDENT PRACTICE
3. Find the distance between the two points using the Pythagorean Theorem:
A. 82
B. 5
C. 26
D. 85 Nistance between the two points using the Pythagorean Theorem:
7. It's the end of final exam week, 3 final grades have already been posted, only one remains. This
student has a scholarship that requires a GPA of no less than 2.0. What is the minimum letter
grade the student must get to keep the scholarship? Credits | Grade | 4.0 Scale
------- | -------- | --------
3 | B | 3.0
5 | D | 1.0
1 | F | 0.0
3 | ? |
Carlos needs 30 compasses for the students attending his summer science camp. He has a budget of $50. He wants to buy compasses that have at least a 4 -star review. Which compass should Carlos order?
\begin{tabular}{|c|c|c|c|}
\hline Compass & Quantity & Cost & Rating \\
\hline A & 9 & $12 & 4.5 stars \\
\hline B & 20 & $6 & 3.5 stars \\
\hline C & 1 & $1.85 & 4.8 stars \\
\hline D & 10 & $17.50 & 4.4 stars \\
\hline
\end{tabular}
A) Compass A
B) Compass B
C) Compass C
D) Compass D
Penelope needs to hire a video production team to create a video for a product launch in 4 weeks. Penelope gathers this information about potential production teams. Which company should Penelope eliminate?
\begin{tabular}{|c|c|c|c|c|}
\hline Company & Price & \begin{tabular}{c}
Time to \\
Completion
\end{tabular} & \begin{tabular}{c}
Previous \\
Partner?
\end{tabular} & \begin{tabular}{c}
Service \\
Rating
\end{tabular} \\
\hline Videos R Us & $3,850 & 2 weeks & No & A- \\
\hline Smart Vids & $5,250 & 2−3 weeks & Yes & B + \\
\hline Professional Productions & $4,500 & 5 weeks & Yes & B \\
\hline Cam Action & $5,000 & 3 weeks & No & C + \\
\hline
\end{tabular}
A) Videos R Us
B) Smart Vids
C) Professional Productions
D) Cam Action
cos=−554tan=43 7. Solve each equation, for 0∘≤θ<360∘. (Use a diagram involving a special right triangle.) * NC*
a) sinθ=2−1 J
θ=315,225.
b) tanθ=x31θ=60,240
Question 7 (15 points): Le point stationnaire de f(x,y)=12x4−9x+12y4+9y est-il un maximum ou un minimum? (Quel est ce point stationnaire?) Expliquez.
Question 4 of 16
Which sentence is most clearly from a story with a retrospective narrator?
A. I cautiously opened the door to see what was on the other side.
B. Most of the villagers knew of dragons, but they had never seen one.
C. Back before I got married, I was once a soldier in the Union army.
D. She is known to most people as Ann, but she calls herself Ting.
SUBMIT
Question 7(Multiple Choice Worth 1 points)
(04.01 LC) A data set lists the favorite choice of baseball team. Which of the following charts could be used to display the data, and why?
Bar chart; because the data is categorical
Bar chart; because the data is numerical
Box plot; because the data is categorical
Box plot; because the data is numerical
V. Solve these equations over the set of real numbers.
Show the check when appropriate. 14. 2x32=50 15. 1+2x−6=−3 16. 3x+5+6=−3 17. 44x−3=0 18. x2−4=x−2 19. x=x−6 20. (x−5)23=27 21. n+12−10=−7
Thomas measured the height, x, of each of the students in his class. He recorded the heights in the table below. Calculate an estimate of the mean height of the students.
Give your answer in centimetres (cm).
\begin{tabular}{|l|c|c|c|}
\hline Height (cm) & 120<x≤130 & 130<x≤140 & 140<x≤150 \\
\hline Frequency & 2 & 12 & 6 \\
\hline
\end{tabular}
Question The first three terms of a sequence are given. Write your answer as a decimal or whole number. Round to the nearest thousandth (if ne
2,5,225,… Find the 9th term. Answer Attempt 1 out of 2
□
Submit Answer
The population of a certain inner-city area is estimated to be declining according to the model P(t)=584,000e−0.023t, where t is the number of years from the present. What does this model predict the population will be in 6 years? Round to the nearest person.
3. An 12 foot long, 3 in ×5 in aluminum bar ( E=10.1×106psi ) must not exceed 14 ksi of stress when subjected to a tensile load, and also must not deform more than 0.05 in . What is the maximum allowable force?
(20\%)
1. Dy sfera të vogla me rreze dhe masa të njëjta janë të varura në penj me gjatësi të
njëjta, të cilët në ajër janë të varur në një pikë. Pas ngarkesës së sferave me
elektricitet q=40⋅10−8C penjtë largohen reciprokisht në një kënd 60∘. Të
përcaktohet masa e sferës, nëse gjatësia e perit është 20 cm.
Directions: For each triangle pair drawn, write the parts and pieces you know to
enough information for proof, write a triangle congruence statement and the th
triangles are congruent. The triangles [Select an answer] congruent, by [Select an answer],
so △EFG≅△ [Select an answer] You have 3 attempts to correctly answer this problem.
The number of N bacteria in a culture can be modeled through the continuous growth model. If there were 100 bacteria initially and the value for k is 0.5, what will the population of the bacteria be in 10 hours, where t is the number of hours? A. 14,841
B. 148
C. 165
D. 22,026
E. 500