Answer:
For Batanta island (B(x)):
The data for B(x) seems to increase linearly, as each value is three times the previous value (2, 6, 18, 54, 162, 486). We can check this by calculating the difference between consecutive values:
6 - 2 = 4
18 - 6 = 12
54 - 18 = 36
162 - 54 = 108
486 - 162 = 324
The differences between consecutive values increase by a factor of 3, which supports the idea that B(x) is a linear function.
For Misool island (M(x)):
The data for M(x) seems to increase exponentially, as each value is roughly twice the previous value (20, 120, 420, 920, 1620, 2520). We can check this by calculating the ratio between consecutive values:
120 / 20 = 6
420 / 120 = 3.5
920 / 420 = 2.19
1620 / 920 = 1.76
2520 / 1620 = 1.56
The ratios between consecutive values decrease as x increases, which supports the idea that M(x) is an exponential function.
For Salawati island (S(x)):
The data for S(x) seems to increase exponentially, as each value is roughly 1.5 times the previous value (38, 81, 124, 167, 210, 253). We can check this by calculating the ratio between consecutive values:
81 / 38 = 2.13
124 / 81 = 1.53
167 / 124 = 1.34
210 / 167 = 1.26
253 / 210 = 1.2
The ratios between consecutive values decrease as x increases, which supports the idea that S(x) is an exponential function.
For W(x):
Based on the given data points, it seems that W(x) is an exponential function. We can check this by calculating the ratio between consecutive values:
48 / 24 = 2
96 / 48 = 2
384 / 96 = 4
768 / 384 = 2
1536 / 768 = 2
The ratios between consecutive values remain constant at 2, which supports the idea that W(x) is an exponential function.
Therefore, of the functions B(x), M(x), and S(x), the same type of function as W(x) is M(x), since both are exponential functions.
Hope this helps!
a student claimed that the function shown in the table is exponential. do you agree or disagree? explain
The correct statement that F: "I agree. The ratios of consecutive x-values are constant, and the y-values are increasing at a constant rate."
To determine whether the function shown in the table is exponential, we need to analyze the relationship between the x-values and y-values.
The table shows x-values that are increasing by a power of 2 (1, 2, 4, 8, 16, 32, 64) and y-values that are increasing by a constant rate of 1 (0, 1, 2, 3, 4, 5, 6).
The constant ratio between consecutive x-values indicates exponential growth or decay.
In this case, the function is growing exponentially because the y-values are increasing at a constant rate.
Based on this information, we can conclude that the function is exponential.
Therefore, we agree with statement F: "I agree. The ratios of consecutive x-values are constant, and the y-values are increasing at a constant rate."
The other statements are incorrect because they do not accurately describe the relationship between the x-values and y-values in an exponential function.
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HELP PLEASE WORTH 20 points
What is the perimeter of the parallelogram
(-4,2)
(-5,-3)
(7,3)
(-2,6)
The perimeter of this parallelogram is equal to 32.4 units.
How to calculate the perimeter of a parallelogram?In Mathematics and Geometry, the perimeter of a parallelogram can be calculated by using this mathematical equation (formula);
P = 2(L + W)
Where:
P represent the perimeter of a parallelogram.W represent the width of a parallelogram.L represent the length of a parallelogram.For the length, we have:
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Distance = √[(-5 + 4)² + (-3 - 2)²]
Distance = √26
Distance = 5.1 units
For the width, we have:
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Distance = √[(7 + 4)² + (3 - 2)²]
Distance = √122
Distance = 11.1 units.
P = 2(5.1 + 11.1)
P = 2(16.2)
P = 32.4 units.
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7)A point is chosen randomly inside rectangle ABCD with vertices A(4, 8), B(4, -3), C(-5, -3), and
D(-5, 8). whats the probability The point does not lie in circle P with center P(-2, 5) and radius 3.
Answer:
≈0.71441
Step-by-step explanation:
1. to calculate the area of the given circle;
2. to calculate the area of the rectangle ABCD;
3. to divide the area of the circle by the area of the rectangle ABCD
and to calculate the rest part.
All the details are in the attachment.
Calculate the Cash Cycle using the following information. (Assume 360 days in a year). Opening Balances Raw Material 4,00,000 WIP 80,000 Finished Goods 6,00,000 Debtors 2,50,000 Creditors 5,60,000 Closing Balances Raw Material 5,00,000 WIP 70,000 Finished Goods 7,25,000 Debtors 3,15,000 Creditors 6,25,000 Costs Incurred during the year Manufacturing Costs 10,45,000 Excise Duty 8,50,000 Selling and Distribution Expenses 4,20,000 Admin. Overheads 3,00,000 Total Sales 4,20,00,500 Total Purchases 3,23,00,000 30% of sales are on credit and 80% of purchases are on credit
Answer:
156.76 days (approx.)
Step-by-step explanation:
To calculate the Cash Cycle, we need to consider the time it takes for a company to convert its investment in inventory and receivables back into cash. The formula for Cash Cycle is as follows:
Cash Cycle = Inventory Conversion Period + Receivables Collection Period - Payables Deferral Period
Now, let's calculate each component of the Cash Cycle using the given information.
1. Inventory Conversion Period:
Inventory Conversion Period measures the average number of days it takes to convert raw materials into finished goods.
Average Inventory = (Opening Raw Material + Closing Raw Material) / 2
= (4,00,000 + 5,00,000) / 2
= 4,50,000
Manufacturing Costs per day = Manufacturing Costs / 360 days
= 10,45,000 / 360
= 2,902.77 (approx.)
Inventory Conversion Period = Average Inventory / Manufacturing Costs per day
= 4,50,000 / 2,902.77
≈ 155 days
2. Receivables Collection Period:
Receivables Collection Period measures the average number of days it takes to collect payments from customers.
Average Receivables = (Opening Debtors + Closing Debtors) / 2
= (2,50,000 + 3,15,000) / 2
= 2,82,500
Sales per day = Total Sales / 360 days
= 4,20,00,500 / 360
= 1,16,666.67 (approx.)
Receivables Collection Period = Average Receivables / Sales per day
= 2,82,500 / 1,16,666.67
≈ 2.42 days
3. Payables Deferral Period:
Payables Deferral Period measures the average number of days the company takes to pay its suppliers.
Average Payables = (Opening Creditors + Closing Creditors) / 2
= (5,60,000 + 6,25,000) / 2
= 5,92,500
Purchases per day = Total Purchases / 360 days
= 3,23,00,000 / 360
= 8,97,222.22 (approx.)
Payables Deferral Period = Average Payables / Purchases per day
= 5,92,500 / 8,97,222.22
≈ 0.66 days
Now, we can calculate the Cash Cycle using the formula mentioned earlier:
Cash Cycle = Inventory Conversion Period + Receivables Collection Period - Payables Deferral Period
= 155 days + 2.42 days - 0.66 days
≈ 156.76 days (approx.)
Therefore, the Cash Cycle is approximately 156.76 days based on the given information.
Which shows the correct way to
calculate the percent change if the
original value of your stock was $750
and the new value of your stock is
$1,000?
A. (1,000+ 750)/750 = 230%
B. (750-1,000)/1,000 = -25%
C. (1,000-750)/750 = 33%
The correct way to calculate the percent change between the original value of $750 and the new value of $1,000 is option C.
C. (1,000 - 750)/750 = 250/750 = 1/3 ≈ 0.3333 = 33.33%
Therefore, the correct answer is option C, which represents a percent change of approximately 33.33%.
gavin would like to contribute towards a pension fund (7,5% of his basic salary 8700) how would this affect his net salary
Answer:
net salary = 8047.5
Step-by-step explanation:
his basic salary is 8700
7.5% of that is (8700)(0.075) = 652.5
He gives this away, so his net salary will become
8700 - 652.5 = 8047.5 = net salary
A science class has a total of 32 students. the number of females is 14 less then the number of males. how many males and how many females are in the class?
Step-by-step explanation:
Let the boys be x
Girls = x - 14 (number of females is 14 less than the number of males)
x + x - 14 = 32
2x - 14 = 32
2x = 32 + 14 (add 14 to both sides or if 14 crosses over the bracket. The sign changes to plus or positive)
2x = 46
Divide both sides by 2
x = 23
Girls = x - 14 = 23 - 14
=9
Therefore, The boys are 23, while the girls are 9
Which equation is not true?
A. 120 ounces = 7 pounds
B. 5 pounds = 80 ounces
C. 2.5 tons = 5,000 pounds
D. 60 ounces = 3.75 pounds
Tara decides to keep the car for a few years longer .if she decides to trade her in her car 8 years from now how much will it be worth
If she decides to trade her in her car 8 years from now then the car will be worth of $8,782.52.
To estimate the future value of Tara's car 8 years from now, we can consider the average depreciation rate of vehicles and assume it applies to her car.
On average, cars tend to depreciate around 15-20% per year.
Let's assume a conservative depreciation rate of 15% per year for Tara's car. We can calculate the future value using the following formula:
Future Value = Current Value× (1 - Depreciation Rate)^Number of Years
Suppose the current value of Tara's car is $20,000.
Plugging in the values, we get:
Future Value = $20,000(1 - 0.15)⁸
Future Value = $20,000(0.85)⁸
Calculating this, we find:
Future Value = $8,782.52
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Kim ran 3 miles in 30 minutes. At what rate did Kim run? A. 6 miles per hour B. 6 miles per minute C. 10 miles per hour D. 10 miles per minute
Jack is 5 years old. His mother is 45 years old. In how many years' time will Jack's mother be 3 times as old as Jack?
Answer:
After 15 years------------------
Let it be x years after that Jack's mother will be 3 times as old as Jack.
Set up equation and solve for x:
45 + x = 3(5 + x)45 + x = 15 + 3x3x - x = 45 - 152x = 30x = 15After 15 years Jack will be 20 and his mother will be 60 years old.
e
2. Find the linear combination of the standard unit
vectors i and j of given initial and terminal points of a
vector.
desig
SI
Initial Point
(0,-8)
Terminal Point
(9, 12)
The linear combination of the standard unit vectors i and j for the given initial and terminal points is 9i + 20j.
To find the linear combination of the standard unit vectors i and j, we need to determine the components of the vector that connects the initial point to the terminal point.
Given:
Initial Point: (0, -8)
Terminal Point: (9, 12)
To find the linear combination, we subtract the coordinates of the initial point from the coordinates of the terminal point:
So, Terminal Point - Initial Point
= (9, 12) - (0, -8)
= (9 - 0, 12 - (-8))
= (9, 20)
Therefore, the linear combination of the standard unit vectors i and j for the given initial and terminal points is 9i + 20j.
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What is the scale factor of the perimeters from figure A to figure B? Enter
a number answer only. Simplify any fractional answer. Round any
decimals to the nearest tenth.
12
A
10
18
B
15
The scale factor of the perimeters from figure A to figure B is 1.5. Scale factor is the ratio of any two corresponding lengths in two similar figures.
Here, the two figures are similar, that is why we can find the scale factor by dividing corresponding sides of one figure by the corresponding sides of another figure. We will find the scale factor for the perimeter of figures A and B below:Perimeter of figure A = 12 + 10 + 18 = 40 unitsPerimeter of figure B = 15 + 15 + 15 = 45 unitsTo find the scale factor of the perimeters, we divide the perimeter of figure B by the perimeter of figure
A:Scale factor of the perimeters = (Perimeter of figure B)/(Perimeter of figure A) = 45/40 = 1.125To simplify any fractional answer, we have to convert it to the lowest terms, which is 9/8. The decimal answer 1.125, when rounded to the nearest tenth is 1.1. Therefore, the scale factor of the perimeters from figure A to figure B is 1.5.
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2 + 5 = + 8 please slove
Answer:
The correct answer is 7.
Step-by-step explanation:
The sum of 2 and 5 is 7, not 8. Addition is a basic arithmetic operation that combines two numbers to find their total or sum. In this case, when we add 2 and 5 together, we count a total of 7. It's important to carefully perform calculations to ensure accuracy and obtain the correct result.
use equations to describe the rule and the nth term for the following patterns
1.10,14,18,22..
2.34,26,18,10,..
3.17;11;5;-1;-7;..
4.4;11;18;25;..
5.-35;-27;-19;-11;..
Al the nth term are,
1) a (n) = 6 + 4n
2) a (n) = 26 + 8n
3) a (n) = 23 - n
4) a (n) = 7n - 3
5) a (n) = 8n - 43
We have to given that;
All the sequence are,
1.10,14,18,22..
2.34,26,18,10,..
3.17;11;5;-1;-7;..
4.4;11;18;25;..
5.-35;-27;-19;-11;..
Now, WE can find the nth term as;
1) 10,14,18,22..
Here, a = 10
Common difference = 14 - 10 = 4
Hence, The nth term is,
a (n) = a + (n - 1) d
a (n) = 10 + (n - 1)4
a (n) = 10 + 4n - 4
a (n) = 6 + 4n
2) 34,26,18,10,..
Here, a = 34
Common difference = 26 - 34 = 8
Hence, The nth term is,
a (n) = a + (n - 1) d
a (n) = 34 + (n - 1)8
a (n) = 34 + 8n - 8
a (n) = 26 + 8n
3) 17;11;5;-1;-7;..
Here, a = 17
Common difference = 11 - 17 = - 6
Hence, The nth term is,
a (n) = a + (n - 1) d
a (n) = 17 + (n - 1) (- 6)
a (n) = 17 - 6n + 6
a (n) = 23 - n
4) 4;11;18;25;..
Here, a = 4
Common difference = 11 - 4 = 7
Hence, The nth term is,
a (n) = a + (n - 1) d
a (n) = 4 + (n - 1) (7)
a (n) = 4 + 7n - 7
a (n) = 7n - 3
5) -35;-27;-19;-11;..
Here, a = - 35
Common difference = - 27 + 35 = 8
Hence, The nth term is,
a (n) = a + (n - 1) d
a (n) = - 35 + (n - 1) (8)
a (n) = - 35 + 8n - 8
a (n) = 8n - 43
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I hello I need help below
Answer:
Rate of slower train: 110 km/h
Rate of faster train: 122 km/h
Step-by-step explanation:
The explanation is attached below.
Write down the time using the 24-hour time format
Answer: 19:30 is the current time as per the 24-hour time format
Step-by-step explanation: We know that a day has 24 hours. The time can be shown in two different formats- the 12-hour format and the 24-hour format. 12 hour format ranges only from 1-12 on the hour while 24-hour format varies from 1-24 representing the hour.
The 24 hour time format is quite simple- marks one number each for one hour. If the Reading says 19:30, it simply means hour 19 of that day. 12-hour time format is different since it makes use of A.M. (Ante Meridiem) and P.M. (Post Meridiem).
Simplyfiy the fraction 220/4 please.
Answer:
55
Step-by-step explanation:
You just need to divide 220 ÷ 4 = 55
Hope this helps :)
Pls brainliest...
Please solve these questions
Answer:
The first one is g(x)=1/4x-7
Step-by-step explanation:
write 2x+xto the power of 3 minus 1 in descending oreder
Answer:
x^3 + 2x - 1.
Step-by-step explanation:
To simplify the expression 2x + x^3 - 1, we can first rearrange the terms in decreasing order of the exponents:
x^3 + 2x - 1
So the simplified expression, rearranged in descending order, is x^3 + 2x - 1.
Finding Missing Angles in a Polygon
Answer:
[tex]\huge\boxed{\sf x = 130\°}[/tex]
Step-by-step explanation:
Statement:In a quadrilateral (four sided polygon), the interior angles add up to 360 degrees.The angles with a small square on it represents 90 degrees.Solution:So,
90 + 90 + 50 + x = 360
230 + x = 360
Subtract 230 from both sidesx = 360 - 230
x = 130°[tex]\rule[225]{225}{2}[/tex]
A dog shelter is giving away 19 different dogs, but you have room for only 4 of them. How many different dog families could you create?
The 19 tykes given away by the Shelter, that have room for only 4 tykes per family.
The number of different canine families that could be created from the 19 tykes given away by the sanctum, we need to calculate the number of combinations. room for only 4 tykes , we need to choose 4 tykes from the aggregate of 19 tykes . The order of the tykes in the family doesn't count, as long as we choose different tykes for each family. The number of combinations can be calculated using the formula for combinations C( n, r) = n!/( r!( n- r)!) Where C( n, r) represents the number of combinations of choosing r particulars from a set of n particulars. In this case, we've n = 19( total number of tykes ) and r = 4( number of tykes per family). Plugging these values into the formula, we get C( 19, 4) = 19!/( 4!( 19- 4)!) Calculating the factorial values 19! = 19 × 18 × 17 × 16 × 15 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = ! = 4 × 3 × 2 × 1 = 24 15! = 15 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = Substituting these values into the formula C( 19, 4) = /( 24 ×) ≈ 91,390 The 19 tykes given away by the sanctum, considering that you have room for only 4 tykes per family.
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if the sin 0° = 0 then which statement is true
cos 90 = 1
cos 180 = 1
cos 90 = 0
cos 180 = 0
Step-by-step explanation:
If the sin 0° = 0, then which statement is true?
1) cos 90° = 0, because the cosine and sine are complements
2) cos 180° = 1, because the cosine and sine are supplements
3) cos 90° = 1, because the cosine and sine are complements
4) cos 180° = 0, because the cosine and sine are supplementscc
Given the vectors, a=3i+4j , b=-2i+5j, c=10i-j, d=-1/3i+5/2j, find : a+b=?
Answer:
Step-by-step explanation:
[tex]a+b=(3i+4j)+(-2i+5j)[/tex]
[tex]=3i+4j-2i+5j[/tex]
[tex]=1i+9j[/tex]
If Ryan is planning on retiring soon he needs to compute his Social Security benefit that he will receive monthly. Ryan has averaged $4,690 over his last
35-years of working. Using the formula, calculate his retirement benefit.
90% of the first $926
32% of the amount between $926 and $5,583
15% of the amount over $5,583
Ryan's Social Security retirement benefit, computed using the given formula, is $2,188.89 per month.
How to compute Ryan's Social Security retirement benefit?To calculate Ryan's Social Security retirement benefit, we'll break it down into three parts based on the given formula:
First, we shall estimate 90% of the first $926 of Ryan's average monthly earnings:
Benefit from level 1= 0.9 * $926
Next, we find out 32% of the amount between $926 and $5,583:
Benefit from level 2= 0.32 * ($5,583 - $926)
Lastly, we compute 15% of the amount over $5,583:
Benefit from level 3= 0.15 * (Ryan's average monthly earnings - $5,583)
Ryan's retirement benefit is the sum of the benefits from all three level:
Retirement benefit = Benefit from level 1 + Benefit from level 2 + Benefit from level 3
Benefit from level 1:
= 0.9 * $926 = $833.40
Benefit from level 2:
= 0.32 * ($5,583 - $926) = 0.32 * $4,657 = $1,489.44
Benefit from level 3:
= 0.15 * (Ryan's average monthly earnings - $5,583)
= 0.15 * ($4,690 - $5,583)
= 0.15 * (-$893)
= -$133.95 (Ryan's average monthly earnings are less than $5,583, this amount is negative)
We now calculate the retirement benefit:
Retirement benefit = Benefit from level 1 + Benefit from level 2 + Benefit from level 3
= $833.40 + $1,489.44 - $133.95
= $2,188.89
Therefore, Ryan's Social Security retirement benefit is $2,188.89 per month.
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Find the volume of the figure below. Round to the nearest tenth.
The volume of the given triangular pyramid is 59.2 feet³.
Given figure is that of a triangular pyramid.
We have to find the volume of the pyramid.
Volume of a pyramid = 1/3 × base area × height
Here base is triangular.
Base area = 1/2 × 12 × 3.7
= 22.2 feet²
Height of the pyramid = 8 feet
Volume = 1/3 × 22.2 × 8
= 59.2 feet³
Hence the volume is 59.2 feet³.
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Pls help use the picture to answer the question
The solution is: The arc length SR is 52.12ft.
We have,
Arc length is the distance between two points along a section of a curve. An arc is a cut out section of a circumference of a circle.
The arc angle = sector angle in the diagram
The length of an arc is expressed as;
l = tetha/360 × 2πr
where r is the radius and tetha is the angle between the two radii.
l = 332/360 × 2 × 9 × 3.14
l = 1042.48 × 18/360
l = 18764.64/360
l = 52.12( nearest hundredth)
therefore the length of the arc is 52.12 ft
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Which equation represents a line which is parallel to the line
Y = -5x - 7
Y = -5x + 3 is the equation represents a line which is parallel to the line Y = -5x - 7 with y intercept 3
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
We have to find the equation which represents a line which is parallel to the line Y = -5x - 7 with y intercept 3
We know that the parallel lines will have same slope
In the above equal -5 is the slope and y intercept -7
The equation of parallel line y =-5x+3
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Which equation represents a line which is parallel to the line
Y = -5x - 7 and of intercept 3
NEED IN 2 MINUTES An isosceles trapezoid has a perimeter of 15.6 feet. Its shorter base measures 1 foot and its longer base measures 3.8 feet. The two remaining sides have the same length; what is that length?
Answer: 5.4
Step-by-step explanation:
First, start with adding the two given sides, then take that sum and subtract it from the perimeter, then after that, divide by two
1 + 3.8= 4.8
15.6 - 4.8=10.8
10.8 / 2 = 5.4
Subtract: (6f2-9f + 10)-(-2f²-f+3)
O8f²-8f +7
O 4f2 - 10f +7
O 4f2 - 10f + 13
O8f² -10f + 7
Step-by-step explanation:
therefore, the correct option is option number 1.
