This student would receive 10 bag of popcorns.
How to determine the quantity of popcorn?Generally speaking, a unit price can be defined as the price that is being charged by a seller for the sale of a single unit of product.
In order to determine the quantity of popcorn, we would make use of the information provided about the unit price for one bag of popcorn by using the following mathematical expression;
Number of bag of popcorns = Cost of one bag of popcorn/Unit price
Substituting the given parameters into the mathematical expression above, we have the following;
Number of bag of popcorns = 5/0.50
Number of bag of popcorns = 10 bag of popcorns.
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When the price of almond milk is $3 per half gallon the quantity demanded of
oat milk is 20,000 half gallons. When the price of almond milk is $5 per half
gallon the quantity demanded of oat milk is 30,000.
Calculate the cross-price elasticity of demand for almond milk and oat milk.
Based on your calculation, what type of goods are almond milk and oat milk?
Answer:
Step-by-step explanation:
The cross-price elasticity of demand measures the responsiveness of the quantity demanded of one good to a change in the price of another good. In other words, it shows how the demand for one good changes in response to changes in the price of another good. The cross-price elasticity of demand is a useful concept for understanding the relationship between two goods and can provide valuable information for firms in making pricing and marketing decisions.
The formula for cross-price elasticity of demand is as follows:
Cross-price elasticity of demand = (Percentage change in quantity demanded of good A) / (Percentage change in price of good B)
In this case, we are calculating the cross-price elasticity of demand between almond milk and oat milk. To do this, we first need to calculate the percentage change in quantity demanded of oat milk and the percentage change in price of almond milk.
Percentage change in quantity demanded of oat milk = (30,000 - 20,000) / 20,000 = 0.5
Percentage change in price of almond milk = ($5 - $3) / $3 = 0.67
Next, we use these values to calculate the cross-price elasticity of demand:
Cross-price elasticity of demand = 0.5 / 0.67 = 0.74
A positive cross-price elasticity of demand indicates that the two goods are substitutes. This means that as the price of one good increases, the demand for the other good increases. A cross-price elasticity of demand between 0 and 1 indicates that the two goods are weak substitutes. In this case, a cross-price elasticity of demand of 0.74 suggests that almond milk and oat milk are weak substitutes. This means that if the price of almond milk were to increase, the demand for oat milk would increase to some extent, but not by a significant amount.
In conclusion, the cross-price elasticity of demand provides valuable information for firms in making pricing and marketing decisions. A positive cross-price elasticity of demand indicates that two goods are substitutes, while a cross-price elasticity of demand between 0 and 1 suggests that they are weak substitutes.
parallelogram has vertices at (–9, –6), (–3, 12), and (9, 12). What could be the coordinates of the fourth vertex? Use the coordinate plane below. .
The coordinates of the fourth vertex D = (3,−1.5).
What property this parallelogram has?A parallelogram has the following property AB=DC
AB=OB−OA=(3,3)−(1,5)=(2,−2)
DC=OC−OD=(8,3)−(a,b)=(2,−2)
OD=OC−DC=(8,3)−(2,−2)=(6,5)
Turn them into vectors. Position vector of point d
should be 6,5
To get the 2nd point, just do AD=BC
BC=OC−OB=(8,3)−(3,3)=(5,0)
AD=OD−OA=(a,b)−(1,5)=(5,0)
OD=OA−AD=(1,5)−(5,0)=(−4,5)
As long as the shape has four sides and two of them are parallel, and you know the length, this should work. For instance, a trapezium where AB=2DC/2CD:
A=(0,0),B=(2,0),C=(2,−1.5),D=(a,b)
AB=(2,0)DC=(2,−1.5)−(a,b)=12(2,0)(a,b)=(1,−1.5)
OR
AB=(2,0)CD=(a,b)−(2,−1.5)=12(2,0)(a,b)=(3,−1.5)
Thus, The coordinates of the fourth vertex D = (3,−1.5).
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As a technical engineer, you must calculate the elevation of a Point marked on a topographic map. The distance between the 420-foot and 440-foot contour lines is 0.5 inches, and the marked point between them is 0.2 inches from the 420-foot contour. What is the elevation, in feet, of the marked point?
A.100
B.424
C.428
D.430
E432
Answer:
The correct answer is C, 428 feet.
To calculate the elevation of the marked point, we need to interpolate between the two contour lines. The difference in elevation between the two contour lines is 20 feet (440 - 420 = 20). And since the distance between the two contour lines is 0.5 inches, each 0.1 inch increment represents a 4-foot change in elevation (20 feet ÷ 0.5 inches = 40 feet per inch ÷ 10 = 4 feet per 0.1 inch).
Since the marked point is 0.2 inches from the 420-foot contour, the elevation of the marked point can be calculated by adding 8 feet (4 feet x 0.2 inches) to the 420-foot contour line: 420 + 8 = 428 feet.
Sarah has 275 red beads and 3 times as many blue beads. She uses a total of 156 beads to make a bracelet. How many beads are left?
Answer: 994 beads
Step-by-step explanation:
Red Beads = 275
Blue Beads = 825 (275 x 3)
825 + 275 = 1100 beads (total)
1100 - 156 = 994 beads
HELP!
The figure on the right is a scaled copy of the figure on the left, though it might have
also been rotated.
U
W
Η,
Which side in the figure on the right corresponds to segment UW?
What is the scale factor?
Answer:
HI
The scale fact from the smaller to the larger is 3. The scale factor from the larger to the smaller is 1/3
Step-by-step explanation:
Five students—the females Ann and Betty and the males Clint, Douglas, and Edward—are rated equally qualified for admission to law school, ahead of other applicants. However, all but two positions have been filled for the entering class. The admissions committee can admit only two more students, so it decides to randomly select two of these five candidates. For this strategy, let of females admitted. Using the first letter of the name to denote a student, the different combinations that could be admitted are (A, B), (A, C), (A, D), (A, E), (B, C), (B, D), (B, E), (C, D), (C, E), and (D, E).
(a)Construct the probability distribution for .
(b)Construct the sampling distribution of the sample proportion of the students selected who are female.
Answer:
(a) The probability distribution for the number of female students admitted can be calculated as follows:
P(0 female students) = (2C0) × (3C2) / (5C2) = (1) × (3) / (10) = 0.3
P(1 female student) = (2C1) × (3C1) / (5C2) = (2) × (3) / (10) = 0.6
P(2 female students) = (2C2) × (3C0) / (5C2) = (1) × (1) / (10) = 0.1
(b) The sampling distribution of the sample proportion of female students selected can be calculated as follows:
P(p = 0) = 0.3 (for 0 female students)
P(p = 1/2) = 0.6 (for 1 female student)
P(p = 1) = 0.1 (for 2 female students)
Note that the sampling distribution of the sample proportion is a discrete probability distribution with values of 0, 1/2, and 1, and corresponding probabilities 0.3, 0.6, and 0.1, respectively.
Find the coordinates of the points of intersection of the graphs with coordinate axes: y=2x+2
We can state that the y-intercept is (0,4) and the x-intercept is after answering the given question (2,0).
What is slope intercept?The intersection point in mathematics is where the line's slope intersects the y-axis. a point where a line or curve's y-axis crosses it. [tex]Y = mx+c,[/tex]
The emphasis in the intercept form of the equation is on the line's slope (m) and y-intercept (b). The slope is m and the y-intercept is b when an equation has the intercept form (y=mx+b).
It is also possible to rewrite some equations so that they appear to be slope intercepts. For example, the slope and y-intercept are both modified to 1 if y=x is rewritten as [tex]y=1x+0.[/tex]
Slope intercept equation,
[tex]y = -2x + 4[/tex]
[tex]y = -2(0) + 4[/tex]
X-intercept is (2,0).
Therefore, The equation for the straight line is used to demonstrate this, where m denotes the slope and c the y-intercept.
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At December 31, Hawke Company reports the following results for its calendar year.
Cash sales $ 160,000
Credit Sales $ 400,000
In addition, its unadjusted trial balance includes the following items.
Accounts receivable $ 120,000 debit
Allowance for doubtful accounts $ 1,400 debit
Bad debts are estimated to be 2% of credit sales. Show how Accounts Receivable and the Allowance for Doubtful Accounts appear
on its December 31 balance sheet.
Current Assets:
Accounts receivable $120,000
Less: Allowance for doubtful accounts $???
Answer:
To determine the balance in the Allowance for Doubtful Accounts on December 31, we first need to estimate the bad debts based on the credit sales.
Bad debts = 2% of credit sales = 2% * $400,000 = $8,000
The balance in the Allowance for Doubtful Accounts would then be equal to the estimated bad debts, which is $8,000.
Therefore, the Accounts Receivable and the Allowance for Doubtful Accounts would appear on the December 31 balance sheet as follows:
Current Assets:
Accounts receivable $120,000
Less: Allowance for doubtful accounts $8,000
Net accounts receivable $112,000
-0.2x+3 / 2 = -0.6 ??
Answer:
Step-by-step explanation:
-0.2x+3 / 2 = -0.6 =>
-0.2x = -(3/2) - 0.6 => (facotorize out -1)
x = ((3/2)-0.6)/0.2 =>
x = 4.5
A quilter created the following shape to use in a block for a new quilt.
A six-sided figure with a large base of 13 inches. The side to the right of the base is 7 and one-half inches. The small side parallel to the base is 5.18 inches. There are two sides that form a point at a right angle. The smaller is 5 inches, and the larger is 6 inches.
What is the area of the shape for the quilt block?
sixty-three and three fourths in2
one hundred twelve and one half in2
one hundred twenty-seven and one half in2
225 in2
The total area of the quilt is: 112.5 square inches
How to determine the total area of the quilt?The six-sided figure is given, and we can deduce the following parameters from the question:
The shape is made of a triangle and a rectangle
The side lengths derived from the question are:
The triangle on top:
base: 5 inches and height: 5.18 inches
The rectangle at the bottom:
Base: 16 inches with a height of 7.5 inches
So, we have the total area of the figure to be
Area of figure = 1/2 * 5 * 6 + 13 * 7.5
Area of figure = 112.5
Based on the parameters, the total area is 112.5 square inches
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I really need help on this question. I have attached it thx. Do all the questions I have put on it so the answer and units.
Answer:
14 cm
Step-by-step explanation:
The formula for circumference of a circle is 2πr, where r is the radius. In this problem, the circumference would be 2π * 7cm = 14 cm
Question 6 of 10
What is the length of the hypotenuse of the triangle below?
3√2
45°
90⁰
h
3√2
45°
Answer:
c) 6
Step-by-step explanation:
in a 45-45-90 degree triangle the hypotenuse is [tex]\sqrt{2}[/tex] times more than the length of the other sides
3[tex]\sqrt{2}[/tex] × [tex]\sqrt{2}[/tex] is the same as 3(2) or 6
The length of the hypotenuse of the triangle is,
⇒ h = 6
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
Base of triangle = 3√2
Length of triangle = 3√2
Now, We can formulate;
⇒ h² = (3√2)² + (3√2)²
⇒ h² = 18 + 18
⇒ h² = 36
⇒ h = 6
Thus, The length of the hypotenuse of the triangle is,
⇒ h = 6
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-3x+y=11,4x+3y=7 use stubstitution to solve
On solving the given system of equations →
Eq { 1 } : - 3x + y = 11
Eq { 2 } : 4x + 3y = 7
using substitution, we get {x} = -2 and {y} = 5.
What is a system of equations?In mathematics, a system of equations is a pair of equations which have a common set of solutions.
Given is the system of equations as -
- 3x + y = 11
4x + 3y = 7
The given system of equations is -
- 3x + y = 11
4x + 3y = 7
Now, we can write -
y = 11 + 3x
So -
4x + 3(11 + 3x) = 7
4x + 33 + 9x = 7
16x = - 26
{x} = - 2
Then, we can write -
- 3 x - 2 + y = 11
{y} = 5
Therefore, on solving the given system of equations using substitution, we get {x} = -2 and {y} = 5.
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An electrician charges a set fee of $100 for every house call and then charges an
additional $60 per hour. Make a table of values and then write an equation for C, in
terms of t, representing the total cost of the electrician's services if the electrician
spends t hours at the house working.
Answer:
C = 60t + 100
Step-by-step explanation:
our flat fee is 100 dollars, meaning you're charged straight up $100, and then for each hour the electrician works, you're charged another $60
this means that 100 stays constant, while the amount of times you multiply 60 changes based on the amount of hours the electrician works
therefore, our equation will be C = 60t + 100, where C represents the total cost while t represents the hours the electrician works
for our table, we can use the equation we just found to make one
the easiest and most reasonable numbers will be 1, 2, 3, 4, and 5, because it's unreasonable to charge a proportional amount for something such as 1.2948 hours
using the equation, we plug 1, 2, 3, 4, and 5 into C = 60t+100 to find C for t
C = 160, 220, 280, 340, 400
T = 1, 2, 3, 4, 5
How many 7 digit telephone numbers can be formed from the digits 0,1,2,...,9, where each telephone number begins with digit 2?
Answer: A lot
Step-by-step explanation:
If f(r)=√, which equation describes the graphed function?
The equation that describes the graphed function is given as follows:
A. y = f(-x + 3).
What is a translation?A translation happens when either a figure or a function are moved horizontally or vertically.
The four translation rules for functions are given as follows:
Left a units: f(x + a).Right a units: f(x - a).Up a units: f(x) + a.Down a units: f(x) - a.The parent function for this problem is given as follows:
[tex]y = \sqrt{x}[/tex]
The function was reflected over the y-axis, hence it is given as follows:
[tex]y = \sqrt{-x}[/tex]
Then it was moved 3 units right, hence the definition is given as follows:
[tex]y = \sqrt{-(x - 3)}[/tex]
[tex]y = \sqrt{-x + 3}[/tex]
Hence:
y = f(-x + 3), as x was replaced by -x + 3.
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X =
Evaluate.
-(-2)+√(-2)²-4(1)(-8)
2(1)
= 2 + (²)
X =
Enter the number that
belongs in the green box.
The value of the equation for x is 32
What is PEDMAS?PEDMAS is described as a mathematical acronym that represents the important operations during calculations.
The alphabets represents;
ParenthesesExponentsDivisionMultiplicationAdditionSubtractionFrom the information given, we have;
-(-2)+√(-2)²-4(1)(-8)
expand the brackets
2 + -2 -4(-8)
multiply the values
2 -2 + 32
Add the values
32
Hence, the value is 32
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Jason decides to sell his band's CD. It required an investment of $3349 for computer hardware and it will cost $3.65 for materials for each disk. If each CD sells for $13.50, how
many must he sell to break even?
196 CDs
340 CDs
339 CDs
195 CDs
Answer:
340 CDs
Step-by-step explanation:
To answer this question, we're dealing with three functions for one problem, namely the revenue function, the cost function, and the profit function.
The revenue function is R(q) = pq, where p is the price of a certain good and q is the quantity sold.
The cost function is C(q) = variable cost + fixed cost, where variable costs changes depending on the quantity of goods produced and fixed cost is a one-time cost for the producer (e.g., an investment, rent, etc.).
The profit function is P(q) = R(q) - C(q) and is simply the cost function subtracted from the revenue function.
The "break-even point" is the point at which profit = $0 and the point at which cost = revenue.
From the problem, we see that Jason invested $3349 (once) for his CDs and each disk requires $3.65 for the materials so our cost function is C(q) = 3.65q + 3349
Furthermore, we see that each disks sells for $13.50, so our revenue function is R(q) = 13.5q
Our profit function then is P(q) = 13.5q - (3.65q + 3349) = 13.5q - 3.65q - 3349 = 9.85q - 3349.
Thus, to find the break-even point, we set profit = 0 and solve for q:
[tex]0=9.85q-3349\\3349=9.85q\\340=q[/tex]
A grade distribution for a particular math class is shown below.
Grade distribution
Quizzes,
30%
Homework
15%
Test, 30%
Classwork
25%
According to the circle graph, what must be true?
O Tests are weighed the most when determining a grade.
O
Homework is worth twice as much as quizzes.
More than half the grade is based on tests and quizzes combined.
If someone never does their classwork it is possible for them to earn an 80 % in the class.
The statement is true; Tests are weighed the most when determining a grade.
What is Graph?A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it.
Given in the question that:
Grade distribution
Quizzes, 30%
Homework 15%
Test, 30%
Classwork 25%
The total giving 100%.
A particular student scored the following;
87.9% on exams, 77.8% quiz, 90% Home work and 100% on class participation
Calculating the percentages the student had for each
Exam total = 50 x 0.879 = 43.95% earned
Quiz = 30 x 0.778 = 23.34% earned
Home work = 15x 0.9 = 13.5% earned
Class participation = 5*1 = 5% earned
Total earned = 43.95+ 23.34 + 13.5+ 5 = 85.79%
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State the center point and radius of the circle. Write the equation of the circle in standard and general form.
The equation of the circle is (x -2)² + (y+1)² = 16.
What is an equation of a circle?
A circle is the collection of all points on a plane at a specific radius from a specific point (called the center.) The diameter of a circle is the length of a line that connects two locations on the circle and passes through its center. Assume that a point's coordinates on the shown circle are (x,y). The radius is r, and the center is at (h,k).
Here according to the graph, the center of the circle is (2,-1), and the radius of the circle = 2+2=4 unit.
Now using the circle equation then
(x -p)² + (y-q)² = r²
Where p = 2 , q = -1 and r = 4 then
(x -2)² + (y+1)² = 4²
(x -2)² + (y+1)² = 16
Hence, the equation of the circle is (x -2)² + (y+1)² = 16.
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Determine the largest power of 10 that is a factor of the following numbers (equivalently, the number of terminal 0's, using ordinary base 10 representation):(a) 50!.
(b) 1000!.
The largest power of 10 that is a factor of 1000! is 5^249, or 10^249.
(a) To find the largest power of 10 that is a factor of 50!, we need to count the number of factors of 5 in 50! since each factor of 5 contributes at least one factor of 10.
There are 10 multiples of 5 in 50!, namely 5, 10, 15, 20, 25, 30, 35, 40, 45, and 50. Each of these contributes one factor of 5. There are also 2 multiples of 25 (25 and 50), each of which contributes an additional factor of 5. Therefore, the total number of factors of 5 in 50! is 10 + 2 = 12.
Since each factor of 10 contains one factor of 5 and one factor of 2, we also need to count the number of factors of 2. It is clear that there are more factors of 2 than factors of 5, so we only need to count the factors of 5. Therefore, the largest power of 10 that is a factor of 50! is 5^12, or 10^12.
(b) To find the largest power of 10 that is a factor of 1000!, we follow the same reasoning as in part (a). The number of factors of 5 in 1000! is:
⌊1000/5⌋ + ⌊1000/25⌋ + ⌊1000/125⌋ + ⌊1000/625⌋ = 200 + 40 + 8 + 1 = 249
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What is the percentage, to the nearest tenth, of 29-year olds with some degree of heart disease?
The function P(x)= 120/1+372e^-0.133x models the percentage, P(x), of Americans who are x years old and have some degree of heart disease.
To the nearest tenth, 13.55% of people aged 29 have some form of cardiac disease.
What is an expression?Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication, and division.
The function for the estimation of the percentage of heart disease is,
[tex]P =\dfrac{ 120}{1+372e^{-0.133x}}[/tex]
The percentage will be calculated as:-
[tex]P =\dfrac{ 120}{1+372e^{-0.133x}}[/tex]
[tex]P =\dfrac{ 120}{1+372e^{-0.133\times 29}}[/tex]
P= 120 / ( 1 +7.85)
P = 13.55%
Therefore, 13.55% of adults aged 29 have a heart condition, to the closest tenth.
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Please help me !!! With this
Use the formula V = ²h, where r is the radius and h is the height, to find the volume of the inside of this cylindrical pipe in terms of pi.
Answer:
Below
Step-by-step explanation:
r = 1/2 diameter = 4 x^2 y^2
Volume = pi r^2 h =
pi (4 x^2 y^2 )^2 * ( 12 x^2 y^2 ) =
16 x^4 y^4 * 12 x^2 y^2 * pi
= 192 x^(4+2) y^(4+2) pi
= 192 x^6 y^6 pi
If WXYZ is a square with WZ = 27, find each measure.
a) ZY = ________ d) mWRZ = ________
b) WY = ________ e) mXYZ = ________
c) RX = ________ f) mZWY = ________
Answer: a) ZY = 27
b) WY = 27
c) RX = 27
d) mWRZ = 90 degrees
e) mXYZ = 90 degrees
f) mZWY = 90 degrees
Step-by-step explanation:
NEED HELP ASAP!!!!
Task EXPONENTIAL GROWTH AND DECAY
Question 1 Part A:
A consulting company wants to track the results of its new
marketing plan. The media manager recorded the number of views Weeks, x
for one of the company's online videos. The results from the first 4
weeks are shown in this table.
0
Write an equation to model the relationship between the number of weeks,
x, and the number of views, f(x).
Double click and enter the correct answer in the box by replacing the values
of a and b.
<||►
-f(x) = a(b)*
I
1
2
3
4
Views, f(x)
2,160
3,240
4,860
7,290
10,935. Question 1 Part B:
During this same time, the website manager tracked the number of visits to the website's homepage.
She found that before launching the new marketing plan, there were 6,400 visits.
Over the course of the next 4 weeks, the number of site visits increased by a factor of 1.25 each week.
Write an equation to model the relationship between the number of weeks, x, and the number
of site visits, f(x).
Double click and enter the correct answer in the box by replacing the values of a and b.
f(x) = a(b)*.
Question 1 Part C
During their team meeting both managers shared their findings. Complete the statement describing their combined results.
Double click and highlight the correct answers
• the initial number of video views was - fewer than, the same as, more than- the initial number of site visits
• The number of website visits grew by a - smaller factor than, larger factor than, the same factor as- the number of video views.
• The difference between the total number of website visits and video views after 4 weeks is - 10,935, 4,690, 8,726, 15,625
f(x) = a(b)*.
Question 1 Part C
During their team meeting both managers shared their findings. Complete the statement describing their combined results.
Double click and highlight the correct answers
• the initial number of video views was - fewer than, the same as, more than- the initial number of site visits
• The number of website visits grew by a - smaller factor than, larger factor than, the same factor as- the number of video views.
• The difference between the total number of website visits and video views after 4 weeks is - 10,935, 4,690, 8,726, 15,625
Answer:
10,935, 4,690, 8,726, 15,625
Step-by-step explanation:
Help me it’s Quadratic Functions
The graph of the quadratic equation y = -x² - 1 is on the image at the end.
How to graph the quadratic function?Here we want to graph the quadratic function:
y = -x² - 1
To do so, we need to find some points on the quadratic equation's graph, we can evaluate the equation in sokme values of x to get that.
if x = 0
y = -0² - 1 = -1
if x = 1
y = -1² - 1 = -2
if x = -1
y = -(-1)² - 1 = -2
And so on.
Above we can see that we have the points (0, -1), (1, -2), and (-1,-2) (you could try to find more points, so the graph will be more exact).
Now just graph all the points that you have and connect them with a parabola. The graph can be seen on the image at the end.
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5. A sphere with a diameter of
14 centimeters is filled with sand.
Roberto poured of the sand out of the
sphere. About how much sand is left in
the sphere?
A.
287.2 cm
B.
861.6 cm
C.
1,148.8 cm
D. 9,190.6 cm
The volume of a sphere is 1,436.03 cubic cm. Thus, the correct option is E.
What is the volume of the sphere?Let r be the radius of the sphere. Then the volume of the sphere will be given as,
V = 4/3 πr³ cubic units
Sand is contained within a spherical with a 14 centimeters diameter. Roberto emptied the sphere's contents of sand.
The radius of the sphere is given as,
r = d/2
r = 14 / 2
r = 7 cm
Then the volume of the sphere is given as,
V = (4/3) x π x (7)³
V = 1.33 x 3.14 x 343
V = 1,436.03
The volume of a sphere is 1,436.03 cubic cm. Thus, the correct option is E.
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The correct options are given below.
A. 287.2 cm³
B. 861.6 cm³
C. 1,148.8 cm³
D. 9,190.6 cm³
E. 1,436.03 cm³
if an object is projected horizontally from a height of 5m with an initial velocity of 7 m/s what is the value of V0y?
The value of the final velocity before striking the ground will be 9.899 meters per second.
What is a vector?The quantity which has magnitude, and direction, and follows the law of vector addition is called a vector.
If an object is projected horizontally from a height of 5m with an initial velocity of 7 m/s.
We know that if the object is projected horizontally, so initially the object has a vertical speed is zero. Then it increases due to acceleration due to gravity.
The speed of the object before striking the ground is given as,
v² - u²= 2gh
v² - 0² = 2 × (9.8) × (5)
v² = 98
v = 9.899 meters per second
The value of the final velocity before striking the ground will be 9.899 meters per second.
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HelpThe ratio of the perimeters of two similar quadrilaterals is 2:4. What is the ratio of their areas? PLLLLLLLLLLSSSSSSss
a.1:2
b. 4.8
c. 2:4
d. 4:16
e. 5:3
The ratio of the areas of the quadrilaterals is 1:2. Option A
What is the ratio of the perimeter?Let's assume that the two similar quadrilaterals have side lengths of x and 2x, respectively. The ratio of their perimeters is then 2x + 2x + 2x + 2x = 8x : 2 * (2x + 2x + 2x + 2x) = 4 * 8x = 32x. The ratio of the perimeters is 2:4, so we can write the equation:
8x/32x = 2/4
Solving for x, we find that x = 4.
So the ratio of the areas of the two similar quadrilaterals is (x^2)/(2x)^2 = (4^2)/(2 * 4^2) = 16/32 = 1/2.
Therefore, the ratio of the areas of the two similar quadrilaterals is 1:2.
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