The function f(x) = -2(4)²+1 +140 represents the number of tokens a child has x hours after arriving at an arcade.
What is the practical domain and range of the function?
Enter your answer by filling in the boxes to correctly complete the statements. If necessary, round to the nearest hundredth.
The practical domain of the situation is ?
The practical range of the situation is ?
Answers
The practical domain of the situation is all real numbers, since there is no restriction on the number of hours the child can spend at the arcade.
The practical range of the situation is [1,140], since the minimum value of the function is 1 and the maximum value is 140.
Related Questions
The perimeter of any rectangle in which the length is 4 more than twice the width is P = 6 w + 8 , where w is the width. Which formula can be used to find the width given the perimeter? Multiple choice question. cross out A) w = P − 4 3 cross out B) w = 1 6 P − 8 cross out C) w = − P + 8 6 cross out D) w = P − 8 6
Answers
Answer: option D
Step-by-step explanation:
Given equation:
P = 6 w + 8 [eq1]
l=2w+4 [where l is length]
using eq1 we have:
6w=P-8
w=(P-8)/6
hence option D
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Your friend was bored one day and started making patterns using Cheerios from a new box he had opened. He laid the Cheerios on the table as such:
Based on the two images above and the information about the box, answer the following questions.
A) Identify and label the variable
B) Make a table for up to 8-figure patterns
C) Write an equation to represent the nth term of the sequence.
D) If the pattern continues, what figure number will have 20 whole Cheerios in it?
E) Is it reasonable to think this pattern would continue forever? If not, explain.
F) Based on the information provided, what is the largest figure number we can have using a full box of Cheerios?
PLS ANSWER ALL OF THE QUESTIONSSS I REALLY NEED THE ANSWERS ASAPPPPPPP PLEASE AND THANK YOU
Answers
A) The variable is n, which represents the number of the figure in the pattern.
B) Here is a table for up to 8-figure patterns:
Figure Number of Cheerios
1 1
2 3
3 6
4 10
5 15
6 21
7 28
8 36
C) The equation to represent the nth term of the sequence is n(n+1)/2.
D) If the pattern continues, the figure number that will have 20 whole Cheerios in it is 12.
E) It is not reasonable to think this pattern would continue forever. The number of Cheerios in each figure is increasing by 2 each time. This means that the number of Cheerios in the figure will eventually exceed the number of Cheerios in a box.
F) Based on the information provided, the largest figure number we can have using a full box of Cheerios is 107. This is because there are 108 Cheerios in a box, and the number of Cheerios in each figure is increasing by 2 each time.
Here is a more detailed explanation of how to answer each question:
A) Identify and label the variable
The variable is n, which represents the number of the figure in the pattern. For example, the first figure is figure 1, the second figure is figure 2, and so on.
B) Make a table for up to 8-figure patterns
Here is a table for up to 8-figure patterns:
Figure Number of Cheerios
1 1
2 3
3 6
4 10
5 15
6 21
7 28
8 36
C) Write an equation to represent the nth term of the sequence
The equation to represent the nth term of the sequence is n(n+1)/2. This equation can be derived by looking at the table of values. For example, the number of Cheerios in the first figure is 1, which is equal to 1(1+1)/2. The number of Cheerios in the second figure is 3, which is equal to 2(2+1)/2. And so on.
D) If the pattern continues, what figure number will have 20 whole Cheerios in it?
If the pattern continues, the figure number that will have 20 whole Cheerios in it is 12. This can be found by solving the equation n(n+1)/2 = 20. The solution is n = 12.
E) Is it reasonable to think this pattern would continue forever? If not, explain.
It is not reasonable to think this pattern would continue forever. The number of Cheerios in each figure is increasing by 2 each time. This means that the number of Cheerios in the figure will eventually exceed the number of Cheerios in a box.
F) Based on the information provided, what is the largest figure number we can have using a full box of Cheerios?
Based on the information provided, the largest figure number we can have using a full box of Cheerios is 107. This is because there are 108 Cheerios in a box, and the number of Cheerios in each figure is increasing by 2 each time.
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At a high school, the probability that a student is a senior is 0.25. The
probability that a student plays a sport is 0.20. The probability that a student
is a senior and plays a sport is 0.08.
What is the probability that a randomly selected student plays a sport, given
that the student is a senior?
• A. 0.32
• B. 0.25
• c. 0.08
• D. 0.17
Answers
Answer:
the answer is c. 0.08
Step-by-step explanation:
Perform the indicated operations,the simplify
Answers
Answer:
\( \frac{13y ^{2} - 59y - 90 }{(y + 10)(y - 10)} \)
3. Put your straightedge along this line. Draw this line as long as you can.
Why can't you make it longer?
Answers
The answer is 26 trust me I will be ur friend
Work out the input that makes the output of A three times the output of B
Answers
The input that makes the output of A to be three times the output of B is; x = 9
How to Solve Algebraic Word Problems?We are told that both Machines A and B have the same input. Thus;
Output of Machine A using Algebraic Properties is;
Output A = 5x - 4
Output of Machine B using Algebraic Properties is;
Output B = 3x + 8
We want to find the input that makes the output of A to be three times the output of B. Thus;
5x - 4 = 3(3x + 8)
5x - 4 = 9x + 24
9x - 5x = -4 - 24
4x = -28
x = -28/4
x = 9
Thus, we conclude that the input that makes the output of A to be three times the output of B is; x = 9
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Which of the following is the largest value?
O 1.002
0.993
O 1.010
2.001
0.939
Answers
Answer:
2001
Step-by-step explanation:2001
Can some please help me with this one it would be much appreciated
Answers
πAnswer:
Therefore, the area of a sector of a circle would be 13.5π square units.
Step-by-step explanation:
Given
\(r=9\) miФ = 60°The area of a sector of a circle is:
A = π r² Ф/360
A = π (9)² 60/360
A = π 81 * 1/6
A = 13.5π square units
Therefore, the area of a sector of a circle would be 13.5π square units.
¿Cuál es la pendiente perpendicular a la pendiente m = 3 ?
Answers
Answer:
The slope of a line perpendicular to a vertical line is zero.
Step-by-step explanation:
CO2 (g) + H2O (l) → 2H2CO3 (aq)
PLZ BALANCE THIS EQUATION
WILL RATE BRAINLIEST IF YOU GET IT CORRECT OR AT LEAST COME CLOSE
Answers
Answer:
Multiply left side by 2
2CO2 (g) + 2H2O (l) =2H2CO3
What number is 344% of 107
Answers
Answer:
368.08
So I turn the numbers into fractions so 344% would be 344/100 because percentages are out of 100. Since it is 344% OF 107, you'd put 107 on the bottom of the fraction and the answer will go on top. I multiply the IS with the OF (IS is the top number and OF is the bottom) so you'd multiply 107x344 to get 36808. Since 344 is a percent (out of 100) you have to do divide the answer by 100 to get 368.08
I hope that helps!
Vanita went to the library to read books. 1/6 of the books were about animals (zoology) and 5/12 of the books were about plants (botany). How do you write the fraction of the books that were based on biology?
Answers
Answer:
Step-by-step explanation:
Assuming that biology would be the rest of the books read, you would have a common denominator, in this case 12, to determine what was left. 1/6 is 2/12, plus the 5/12. If you're trying to combine the two together then it'll be 7/12. If you're trying to find the remainder, then it would be 5/12
HELP ASAP
A triangular prism. The rectangular sides are 2 centimeters by 13 centimeters, 12 centimeters by 2 centimeters, and 5 centimeters by 2 centimeters. The 2 triangular sides have a base of 5 centimeters and height of 12 centimeters.
Which equation could be used to find the surface area of the net of the triangular prism shown?
SA = (1/2)(5)(12) + (5)(2) + (12)(2) + (13)(2)
SA = (1/2) (5)(13) + (1/2) (5)(13) + (5)(2) + (13)(2) + (12)(2)
SA = (1/2)(5)(12) + (1/2)(5)(12) + (5)(2) + (12)(2) + (13)(2)
SA = (2)(5)(13) + (5)(2) + (13)(2) + (12)(2)
Answers
Answer:
C. SA = (1/2)(5)(12) + (1/2)(5)(12) + (5)(2) + (12)(2) + (13)(2)
Step-by-step explanation:
C.
Answer:
It's C
Explanation:
I got it correct on Edge
NO LINKS!!!
1. If each spinner is spun once, what is the probability that both spinners show the same color?
2. If each spinner is spun once, what is the probability of getting a red-blue combination?
Answers
Answer:
\(\sf 1. \quad \dfrac{3}{8}\)
\(\sf 2. \quad \dfrac{7}{24}\)
Step-by-step explanation:
Spinner 1Spinner 1 is divided into 6 congruent sections.
There are 3 red sections, 2 blue sections and 1 yellow section.
Therefore, the probability of spinning each of the three colors is:
\(\bullet \quad \sf P(R_1)=\dfrac{3}{6}=\dfrac{1}{2}\)
\(\bullet \quad \sf P(B_1)=\dfrac{2}{6}=\dfrac{1}{3}\)
\(\bullet \quad \sf P(Y_1)=\dfrac{1}{6}\)
Spinner 2Spinner 2 is divided into 3 sections of differing sizes.
The red section is half of the spinner. The blue and yellow sections are quarters of the spinner.
Therefore, the probability of spinning each of the three colors is:
\(\bullet \quad \sf P(R_2)=\dfrac{1}{2}\)
\(\bullet \quad \sf P(B_2)=\dfrac{1}{4}\)
\(\bullet \quad \sf P(Y_2)=\dfrac{1}{4}\)
Question 1If each spinner is spun once, then:
The probability that both spinners both show red is:
\(\sf P(R_1)\;and\;P(R_2)=\dfrac{1}{2} \times \dfrac{1}{2}=\dfrac{1}{4}\)
The probability that both spinners both show blue is:
\(\sf P(B_1)\;and\;P(B_2)=\dfrac{1}{3} \times \dfrac{1}{4}=\dfrac{1}{12}\)
The probability that both spinners both show yellow is:
\(\sf P(Y_1)\;and\;P(Y_2)=\dfrac{1}{6} \times \dfrac{1}{4}=\dfrac{1}{24}\)
Therefore, the probability that both spinners show the same colour is:
\(\sf P(R_1\;\&\;R_2)\;or\;P(B_1\;\&\;B_2)\;or\;P(Y_1\;\&\;Y_2)=\dfrac{1}{4}+\dfrac{1}{12}+\dfrac{1}{24}=\dfrac{9}{24}=\dfrac{3}{8}\)
Question 2If each spinner is spun once, the probability of getting a red from spinner 1 and a blue from spinner 2 is:
\(\sf P(R_1)\;and\;P(B_2)=\dfrac{1}{2} \times \dfrac{1}{4}=\dfrac{1}{8}\)
The probability of getting a blue from spinner 1 and a red from spinner 2 is:
\(\sf P(B_1)\;and\;P(R_2)=\dfrac{1}{3} \times \dfrac{1}{2}=\dfrac{1}{6}\)
Therefore, the probability of getting a red-blue combination is:
\(\sf P(R_1\;\&\;B_2)\;or\;P(B_1\;\&\;R_2)=\dfrac{1}{8}+\dfrac{1}{6}=\dfrac{7}{24}\)
What is the slope of the line represented by the equation y = –y equals negative StartFraction 2 Over 3 EndFraction minus 5 x. – 5x?
–5
–negative StartFraction 2 Over 3 EndFraction.
StartFraction 2 Over 3 EndFraction.
5
Answers
The slope of the line represented by the equation y = –2/3(x) - 5 is -2/3.
What is the slope-intercept form?In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;
y = mx + b
Where:
m is the slope or rate of change.x and y are the points.b is the y-intercept or initial value.Based on the information provided about this line, a linear equation that models it is given by;
y = mx + b
y = –2/3(x) - 5
By comparison with the slope-intercept form, we have the following:
Slope, m = -2/3.
y-intercept or vertical intercept = (0, -5).
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Complete Question:
What is the slope of the line represented by the equation y = –2/3(x) - 5.
A conveyor belt at a recycling center is 294 feet long. The belt moves 7 feet in 6 seconds. A sorter calculates that it
takes 343 seconds for an object to travel the length of the belt. He places his plastic water bottle at the start of the belt so he can tie
his shoe. He walks to the end of the belt before 343 seconds pass. His bottle is already in the shredder. How many seconds does it
take the water bottle to travel the length of the belt? What is the sorter's error?
Answers
The sorter's error is 91 seconds. This means that the sorter miscalculated the time it would take for the water bottle to travel the length of the belt by 91 seconds.
What lengths are examples of?When anything is referred to as being "long," it refers to its overall length. In other words, it is the larger of the third or upper two dimensions of a geometric object. An example of a shape with two dimensions is a rectangle.
To find out how many seconds it takes for the water bottle to travel the length of the belt, we can use the equation:
distance = rate x time
We know the distance (294 feet) and the rate (7 feet per 6 seconds). Let's solve for time:
294 feet = (7 feet/6 seconds) x time
294 feet x 6 seconds = 7 feet x time
1764 seconds = 7 feet x time
time = 1764 seconds / 7 feet
time = 252 seconds
So it takes 252 seconds for the water bottle to travel the length of the belt.
Now let's calculate the sorter's error:
343 seconds - 252 seconds = 91 seconds
The sorter's error is 91 seconds. This means that the sorter miscalculated the time it would take for the water bottle to travel the length of the belt by 91 seconds.
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A family rents their spare bedroom to tenants. If the tenant stays less than 7 days the rental price is $65 per day. Once a tenant stays
seven or more days, the price is $375 plus $55 per day past seven. What are the constraints that apply to the above situation? Select all that apply.
Answers
Using a piece-wise function, the constraints are:
\(65x, x < 7\)
\(375 + 55x, x \geq 7\)
-------------------------
A piece-wise function is a function that has multiple definitions, depending on the value of the input.
In this problem:
The input is the number of days x.The output is the cost y.Less than 7 days the rental price is $65 per day.
Thus, one constraint is:
\(65x, x < 7\)
Once a tenant stays seven or more days, the price is $375 plus $55 per day past seven.
Thus, the other constraint is:
\(375 + 55x, x \geq 7\)
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Answer: a and d
Step-by-step explanation:
its easy. U can just solve the problem
Please help. 8th grade math homework
Answers
Completing the table using the rounded values showing the relative frequencies is as follows:
Column Relative Frequency Table
Men Women Total
January - June 25% 25% 25%
July - December 75% 75% 75%
Total 100% 100% 100%
What is the relative frequency?Relative frequency shows the quotient between the number of events and the total number of possible events occurring.
The quotient of relative frequency is expressed over 100 to show the result in percentage terms.
Frequency Table
Men Women Total
January - June 21 19 40
July - December 62 58 120
Total 83 77 160
Column Relative Frequency Table
Men Women Total
January - June 25% (21/83) 25% (19/77) 25% (40/160 x 100)
July - December 75% (62/83) 75% (58/77) 75% (120/160 x 100)
Total 100% 100% 100% (160/160 x 100)
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What is the distance (in terms of the units on the coordinate plane) between the shipwrecks located at (-2, 0) and (- 2, 5) ?
Answers
Answer:
5
Step-by-step explanation:
Evaluate the logarithm
log10(1,000,000)
Answers
Answer:
6
Step-by-step explanation:
\(log_{10} (1,000,000) \\ \\ = log_{10} (10^{6} ) \\ \\ = 6log_{10} (10) \\ \\ = 6 \times 1 \\ ( \because \: log_{10} (10) = 1) \\ \\ = 6\)
The solution of the equation 3x + 4 =1 is a) 1 b) 0 c) -1 d) 2
Answers
Hello!
3x + 4 = 1
3x + 4 - 4 = 1 - 4
3x = -3
3x/3 = -3/3
x = -1
The solution of the equation 3x + 4 = 1 is -1.
The answer is:
C) x = -1
Work/explanation:
To solve this equation, I subtract 4 from each side:
\(\sf{3x+4=1}\)
Subtract :
\(\sf{3x=-3}\)
Divide each side by 3:
\(\sf{x=-1}\)
Hence, C is correct.
The July bank statement sent by the bank to ABC company shows a balance of cash on deposit at July 31 of Br.4,964.47 Assume that on July 31, assume the on July 31, ABCs ledger shows a bank balance of Br. 4 173. 83. 1. A deposit of Br 410. 90 made after banking hours and doesnt appear in the bank statement2. A check drawn for Br. 79 had been erroneously charged by the bank Br.973. For checks issued in July have not yet been paid by the bank (outstanding checks). : Theses checks are;- Check No date amount 801 June 15 ---Br.100,00 888 July 24 ----Br. 10.25 890 July 27--- Br. 294.50 891 July 30 ---Br. 205.004. A check written for birr 210 had been incorrectly charged by the bank as birr 120 5. Proceeds from collection of a interest bearing note receivable from David. ABC Company had left this note with the banks collection department. The face amount of the note was birr 500 6. Br. 24.75 interest earned on average account balance during July7. A check for Br. 10 returned with the statement had been recorded in the check register as Br. 100. The check was for the payment of an obligation to Davis Equipment Company for the purchase of office supplies on account 8. Br. 5,00 fee charged by bank for handling collection of note receivable 9. Br. 50.25 check from customer John deposited by ABC company charged bank as Non sufficient fund (NSF) 10. Br. 12.70 service charged by bank for the month of July. 11. Check number 875 was issued July 20 in the amount of Br 85 but was erroneously recorded in the cash payment Journal as Br 58 for payment of telephone expense prepare bank reconcilation and journal entry
Answers
The bank reconciliation shows an adjusted bank balance of Br.5,301.42 and an adjusted ledger balance of Br.4,173.83.
To prepare the bank reconciliation and journal entry for ABC Company based on the given information, we need to compare the transactions recorded in ABC's ledger with the transactions shown in the bank statement. Here's the bank reconciliation:
1. Bank Statement Balance:
Cash on deposit at July 31: Br.4,964.47
2. Adjusted Bank Balance:
Bank Statement Balance: Br.4,964.47
3. Deposit not on the statement: + Br.410.90
(Adjusted Bank Balance: Br.5,375.37)
Erroneously charged check: + Br.79
(Adjusted Bank Balance: Br.5,454.37)
Outstanding checks:
Check 801: - Br.100.00
Check 888: - Br.10.25
Check 890: - Br.294.50
Check 891: - Br.205.00
(Adjusted Bank Balance: Br.4,844.62)
4. Incorrectly charged check: + Br.90
(Adjusted Bank Balance: Br.4,934.62)
5. Collection of interest-bearing note: + Br.500
(Adjusted Bank Balance: Br.5,434.62)
6. Interest earned: + Br.24.75
(Adjusted Bank Balance: Br.5,459.37)
7. Incorrectly recorded check: - Br.90
(Adjusted Bank Balance: Br.5,369.37)
8. Collection fee: - Br.5.00
(Adjusted Bank Balance: Br.5,364.37)
9. NSF check: - Br.50.25
(Adjusted Bank Balance: Br.5,314.12)
10. Service charge: - Br.12.70
(Adjusted Bank Balance: Br.5,301.42)
Adjusted Ledger Balance:
Bank Balance in ABC's Ledger: Br.4,173.83
Reconciled Bank Balance: Br.5,301.42
Reconciled Ledger Balance: Br.4,173.83
Journal Entry:
To record the bank reconciliation, we make the following journal entry:
Debit: Cash (Ledger Balance adjustment) - Br.5,301.42
Credit: Cash (Bank Statement Balance adjustment) - Br.4,964.47
Credit: Miscellaneous Income/Expense - Br.336.95 (the difference between the two balances)
This journal entry ensures that the ledger balance matches the reconciled bank balance by adjusting for the discrepancies identified during the reconciliation process.
The journal entry reflects the necessary adjustments to reconcile the two balances, with a debit to Cash (Ledger Balance adjustment), a credit to Cash (Bank Statement Balance adjustment), and a credit to Miscellaneous Income/Expense to account for the difference.
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Ron's Car Rental Company charges a set fee for renting a car and an additional amount per mile driven. Frank has rented from Ron's three times and his charges are shown in the table below. How much does Ron charge per mile driven?
Answers
Answer:
22 cents per mile
Step-by-step explanation:
to get this answer, divide 17.60 by 4 to get the unit rate, or the rate when x=1.
Pls help me i didnt understand this!!
Answers
Answer:
90
Step-by-step explanation:
I don't know to explain but I believe I'm right
(-12/45)+15/35-12/45+15/35 slove step vise
Answers
Answer:
\(\frac{35}{105}\)
Step-by-step explanation:
the total cost for 6 mangoes and four apples is $46. Which equation represent this information?
Answers
Answer:
3x + 2y = 23
Step-by-step explanation:
mangoe = x
apple = y
6x + 4y = 46
divide them by 2
3x + 2y = 23
I need the answer in 1 minute
Answers
Answer:
4 Units.
Step-by-step explanation:
Find the common ratio of 1,3,9,-27 and the next three terms
Answers
Answer:
Step-by-step explanation:
The common ratio of this sequence is 3. Next 3 terms are -81, -243, and -729.
What are they? I don’t quite understand it
Answers
Top Left - equilateral triangle (all three sides are equal)
Top Right - scalene triangle (no sides are equal)
Bottom Left - right angle triangle (one right angle)
Bottom Right - obtuse angle triangle ( one obtuse angle)
A package of 5 pairs of insulated socks costs $.43.45 What is the unit price of the pairs of socks?
Answers
Answer:
i think the answer should be $8.69 but those socks r dang expensive
Step-by-step explanation: