Using the midpoint formula, the coordinates of the intersection of the diagonals of the parallelogram is: (1, 2.5).
What are Diagonals of a Parallelogram?The diagonals of a parallelogram bisect each other, therefore, the coordinates of their intersection can be determined using the midpoint formula, which is: [tex]M(\frac{x_2 + x_1}{2}, \frac{y_2 + y_1}{2})[/tex].
A diagonal is XZ.
X(2, 5) = (x1, y1)
Z(0, 0) = (x2, y2)
Plug in the values
[tex]M(\frac{0 + 2}{2}, \frac{0 + 5}{2})[/tex]
= (1, 2.5).
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Which pair of expressions is equivalent using the Associative Property of Multiplication?
4(2a ⋅ 5) = (4 ⋅ 2a) ⋅ 5
4(2a ⋅ 5) = 8a ⋅ 20
4(2a ⋅ 5) = (2a ⋅ 5) ⋅ 4
4(2a ⋅ 5) = 4 ⋅ 2a ⋅ 5
Answer:
out of 700 full marks dolma obtained 525 marks in an examination express her marks in percent
Giving brainliest :)
Answer:
Your answer should be D. $48,856.11
Step-by-step explanation:
This formula is for Compound Continuously.
[tex]A=P*e^{rt}[/tex]
P = 40,000
e = 2.71...
r = 2.5% = 0.025
t = 8 years
Plug in our variables and solve for the money of the account within 8 years.
A = 40,000*e^(0.025*8)
A = 40,000*e^(0.2)
A = 48,856.11033
A = $48,856.11
You work as an assistant for a local musical theatre group, the Main Street Theatre Company. The company is putting on a production of Les Misérables this year, and they need your help planning it.
All the roles have now been cast, and the lead actors playing the following parts are gathered around a large circular table for their first read: Jean Valjean, Inspector Javert, Thénardier, Enjolras, Marius, Fantine, adult Cosette, adult Éponine, and Madame Thénardier. It is your job to seat these 9 actors, the 3 producers, and the director around the table.
In Les Misérables, Monsieur Thénardier and Madame Thénardier are married, and during Act 2, Cosette and Marius become married. If the Thénardiers must next to one another, and Cosette and Marius must sit next to one another, but there are no restrictions on how the others can sit, how many different ways can you seat the 13 people around the circular table?
4
17,160
14,515,200
6,227,020,800
There are 14,515,200 ways to arrange the people around the table
How to determine the number of ways?The given parameters are:
People = 13
Thénardiers = 2 actors
Cosette and Marius = 2 actors
If the married actors must seat together, then the actors must be grouped as 1.
The 2 actors can be arranged in 2! ways each
Now, there are 9 individuals remaining
The 9 people can be arranged in 9! ways
So, the number of ways is
Ways= 2! * 2!* 9!
Evaluate
Ways =14,515,200
Hence, there are 14,515,200 ways to arrange the people around the table
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If the coordinates of one endpoint of a
line segment are (2, 3) and the midpoint
of the segment is (5,3), what are the
coordinates of the other endpoint of the
segment?
Answer: (8,3)
Step-by-step explanation:
The distance from (2,3) to (5,3) is 3. The only other point that is 3 units away from (5,3) where y=3 is (8,3).
What is the domain of y = log Subscript 4 Baseline (x + 3)?
Answer:
All real numbers greater than -3
Step-by-step explanation:
The domain of a log is the baseline is greater than 0.
Set x + 3 greater than zero and solve
x + 3 > 0
x > -3
Question 14 of 49
Which of the following objects is best described by the term line segment?
A. The point where two sides of a triangle meet
B. The perimeter of a triangle
C. The angle formed by two sides of a triangle
D. One side of a triangle
SUBMIT
Option (A) one side of a triangle is the object that best describes the term line segment is the correct answer.
What is a line segment?
A line segment is a part of line that is bounded by two distinct end-points. A line segment has a fixed length. Figures such as a triangle, polygon, hexagon, square are made of different numbers of line segments.
For the given situation,
A line segment is a portion or piece of a line that allows you to build polygons, determine slopes, and make calculations.
From the definition of line segment we know that the object that best describes the term line segment is one side of a triangle.
Hence we can conclude that option (A) one side of a triangle is the object that best describes the term line segment is the correct answer.
solve the inequality below
Answer:
y >_ - 29/8
Step-by-step explanation:
Use the function below to find F(2).
Answer:
Step-by-step explanation:
[tex]F(2)=\frac{1}[3} \cdot 4^{2}=\frac{16}{3}[/tex]
Round answer to nearest tenth
The time to hit the ground is 1.9 seconds
How to determine the time?The height equation is given as:
d = -16t^2 + h0
A stone thrown from 60 feet has an initial height of 60.
This means that:
h0 = 60
So, we have:
d = -16t^2 + 60
When the stone hits the ground, d = 0
So, we have:
-16t^2 + 60 = 0
Evaluate the like terms
-16t^2 = -60
Divide by -16
t^2 = 3.75
Evaluate the square root
t = 1.9
Hence, the time to hit the ground is 1.9 seconds
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epresents a function?
{(2, 3), (3, 4), (5, 6), (2, 9)}
{(4, 2), (5,2), (6, 2), (9, 2)}
{(1, 2), (1, 3), (1, 4), (1, 5)}
{(-4, 9), (-8, -12), (-4, -15), (-8, -21)}
Answer:
No, it does not represent a function
Step-by-step explanation:
A function can be described as a set of points where each x coordinate has 1 corresponding Y coordinate
1 has multiple different Y coordinates
2 has multiple different Y coordinates
-4 has multiple different Y coordinates
Answer:
Only the second one
Step-by-step explanation:
All of the others have multiple values for 'x'
a function can only have one value for each value of x
Example: the first one when x = 2 it has two 'y' values 3 and 9
Which list shows all the factors of 16?
A. 1, 2, 4, 8
B. 1, 2, 3, 8, 16
C. 1, 2, 4, 8, 16
D. 16, 32, 48, 64
Answer:
C
Step-by-step explanation:
To be a factor of 16 they need to be numbers that divide into it without remainders.
Answer:
Step-by-step explanation:
its C
Help me with this please!! :)
Answer: 26 cards
Step-by-step explanation: Just divide 52 by 2 and you get 26 cards :)
The B737-400 aircraft costs $2948 dollars per hour to operate. The algebraic expression 2948t gives the total cost to operate the aircraft for t hours. Find the total cost to operate the B737-400 for 3.6 hours.
Answer:
The required cost is $10,612.8
Step-by-step explanation:
Find the value at t = 3.6:
2948t, t=3,6
Substitute t=3,6
Multiply 2948x3,6
Solution = 10612,8
Matthew picks flowers and sells them to tourists. the function s(t) approximates how many flowers matthew picks per hour. the function w(h) represents how hours per week matthew spends picking flowers. what are the units of measurement for the composite function s(w(h))?
Flowers/week is the unit of measurement for the composite function s(W(h)).
Given that the function w(h) indicates the number of hours per week that Matthew spends picking flowers and the function s(t) approximates how many flowers he collects every hour.
The process of combining two or more functions into one function is known as the composition of functions. The output of the function enclosed in parenthesis becomes the input of the function outside of them in a composition of functions.
Hours of flowers is the unit of function s(t).
Additionally, consider that W(h) denotes the number of hours per week that Matthew spends gathering flowers.
W(h) = hours/week as a unit.
The unit of the composite function s(W(h)) will be = (Flowershours)(hoursweek) = Flowersweek.
Hence, the units of measurement for the composite function s(W(h))where the function s(t) approximates how many flowers Matthew picks per hour and the function w(h) represents how hours per week Matthew spends picking flowers is flowers/week.
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QUESTION IS DOWN BELOW 15 POINTS EACH
Answer:
a)
density = mass/volume
density = 320/128
density = 2.5 g/cm3
b)
mass = density x volume
mass = 65 x 26
mass = 1690g
Answer:
a) d = 2.5g/cm3
b) m = 1690g
Step-by-step explanation:
density equals mass between volume
a) [tex]d=320g/128cm^{3} =2.5g/cm^{3}[/tex]
mass equals density by volumen
b)[tex]m=(26g/cm^{3} )(65cm^{3} )=1690g[/tex]
Hope this helps
Mr Ade's monthly salary is #460 after paying #50 for his house, giving #2 to each 5 children and setting aside #290 for food, how much has he left?
The amount of money left for Mr Ade after deducting his house payment, children allowance and food is #110
Total balanceMr Ade's total salary = #460Amount paid for his house = #50Amount given to each child = #2
Number of children = 5
Total given to his children = #2 × 5= #10
Amount for food = #290Balance left = 460 - (50 + 10 + 290)
= 460 - (350)
= #110
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Which graph represents a reflection across the x-axis of g(x) = (3)x?
The graph we need is [tex]y=-3^x[/tex], which is shown in the attached image.
Question 2 of 10
In order to solve the following system of equations by addition, which of the
following could you do before adding the equations so that one variable will
be eliminated when you add them?
4x-2y=7
3.x-3y = 15
O A. Multiply the top equation by 1/3.
Multiply t
OB. Multiply the top equation by
-3 and the bottom equation by 2.
OC. Multiply the top equation by 3 and the bottom equation by 4.
OD. Multiply the top equation by 3 and the bottom equation by 2.
Answer:
21
Step-by-step explanation:
Please help!!! In 2000, the median household income was $41,990. In 2010, it was $49,445. What is the average rate of change in the median household income over this time period?
Answer: 745.50
Step-by-step explanation:
49445-41990=7455
7455/10=745.50
(02.04 LC)
Choose the equation of the horizontal line that passes through the point (2, 4).
Oy=2
Ox=2
Oy = 4
Ox=4
Answer:
You're correct
Step-by-step explanation:
Write out the form of the partial fraction decomposition of the fraction. Do not determine the numerical values of the coefficients.
[tex]\frac{x^4}{(x^3+x)(x^2-x+7)}[/tex]
Factorizing the denominator gives
[tex]\dfrac{x^4}{(x^3+x)(x^2-x+7)} = \dfrac{x^4}{x(x^2+1)(x^2-x+7)} = \dfrac{x^3}{(x^2+1)(x^2-x+7)}[/tex]
Then the partial fraction decomposition would take the form
[tex]\dfrac{x^4}{(x^3+x)(x^2-x+7)} = \dfrac{a_0x + b_0}{x^2+1} + \dfrac{a_1x + b_1}{x^2-x+7}[/tex]
I need help because Im losing it
The fraction of the colored part is 10/12 or 5/6. None of the option is correct
Fractions and proportionsFractions are written as a ratio of two integers. From the given question;
3 square divided into4 equal parts will have a total of 12 parts. If Kelly colors 10 parts, the fraction of the colored part will be:
Fraction. = 10/12
Fraction = 5/6
Hence the fraction of the colored part is 10/12 or 5/6
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A scale drawing of a new pool is shown above.All the corners are right angles.What is the perimeter of the actual pool?
The lengths are 6in 2 in 5 in and 3 in
A.550 ft
B.800ft
C. 1100 ft
D.1500 ft
PLS EXPLAIN
The perimeter of the actual pool will be option C. 1100 ft.
What is the perimeter?It's the sum of the length of the sides used to make the given figure.
A scale drawing of a new pool is shown. All the corners are at right angles.
The lengths are 6 in, 2 in, 5 in and 3 in.
Perimeter = 6 + 2 + 5 + 3 + 2 + 4
= 22 in
We have given a scale;
1/2 in = 25 ft
So, 1 in = 50 ft
26 in will be
22 x 50 = 1100 ft
Hence, the perimeter of the actual pool will be option C. 1100 ft.
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According to the National Postsecondary Student Aid Study conducted by the U.S. Department of Education in 2008, 62% of graduates from public universities had student loans.
We randomly select 50 students at a time.
What is the standard error for the distribution of sampling proportions? If necessary, round to three decimal places.
The standard error for the distribution of sampling proportions will be 0.0686.
What is standard error for the distribution of sampling proportions?In mathematics, the difference between a data set and the populace's true average is known as primary data deviation from the mean.
According to the National Postsecondary Student Aid Study conducted by the U.S.
Department of Education in 2008, 62% of graduates from public universities had student loans.
We randomly select 50 students at a time.
Then the standard error for the distribution of sampling proportions will be
[tex]\rm Standard\ error = \sqrt{\dfrac{p(1-p)}{n}}\\\\Standard\ error = \sqrt{\dfrac{0.62(1-0.62)}{50}}\\\\Standard\ error = 0.0686[/tex]
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Solve this trig identity step by step
The trigonometric identity (cos⁴θ - sin⁴θ)/(1 - tan⁴θ) = cos⁴θ
How to solve the trigonometric identity?
Since (cos⁴θ - sin⁴θ)/(1 - tan⁴θ) = [(cos²θ)² - (sin²θ)²]/[1 - (tan²θ)²]
Using the identity a² - b² = (a + b)(a - b), we have
(cos⁴θ - sin⁴θ)/(1 - tan⁴θ) = [(cos²θ)² - (sin²θ)²]/[1 - (tan²θ)²]
= (cos²θ - sin²θ)(cos²θ + sin²θ)/[(1 - tan²θ)(1 + tan²θ)] =
= (cos²θ - sin²θ) × 1/[(1 - tan²θ)sec²θ] (since (cos²θ + sin²θ) = 1 and 1 + tan²θ = sec²θ)
Also, Using the identity a² - b² = (a + b)(a - b), we have
(cos²θ - sin²θ) × 1/[(1 - tan²θ)sec²θ] = (cosθ - sinθ)(cosθ + sinθ)/[(1 - tanθ)(1 + tanθ)sec²θ]
= (cosθ - sinθ)(cosθ + sinθ)/[(cosθ - sinθ)/cosθ × (cosθ + sinθ)/cosθ × sec²θ]
= (cosθ - sinθ)(cosθ + sinθ)/[(cosθ - sinθ)(cosθ + sinθ)/cos²θ × 1/cos²θ]
= (cosθ - sinθ)(cosθ + sinθ)cos⁴θ/[(cosθ - sinθ)(cosθ + sinθ)]
= 1 × cos⁴θ
= cos⁴θ
So, the trigonometric identity (cos⁴θ - sin⁴θ)/(1 - tan⁴θ) = cos⁴θ
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Multiply (-3) by (+1,4
The product (-3) * (1, 4) is (-3, -12)
How to multiply the numbers?The expression is given as:
(-3) * (1, 4)
Rewrite the expression as
(-3 * 1, -3 * 4)
Evaluate the product
(-3, -12)
Hence, the product (-3) * (1, 4) is (-3, -12)
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describe how you can use similar triangles to explain that the slope
Similar triangles can be used to explain the slope through the right angle.
What is a triangle?It should be noted that a triangle refers to a shape that has three sides and angles.
In this case, similar triangles can be used to explain the slope through the right angle. The slope of the hypotenuse is what we are concerned about.
The legs of the triangle will be the horizontal change and the vertical change of the endpoints.
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Match the type of insurance to the coverage it provides.
1. Insurance that covers the insured only for a specific, stated term, such as ten years
endowment
2. Insurance that covers the insured for life, and for which premiums are paid by the insured until his death
ordinary whole life
3. Insurance that covers the insured for life, for which he only has to pay a certain number of years
limited-payment life
4. Insurance that provides both insurance and savings
term
The answers include the following:
Insurance that covers the insured only for a specific, stated term, such as ten years endowment - Term life insurance Insurance that covers the insured for life, and for which premiums are paid by the insured until his death ordinary whole life - Whole life insurance.Insurance that covers the insured for life, for which he only has to pay a certain number of years - Limited-payment life insurance.Insurance that provides both insurance and savings term- Universal life insurance.What is Insurance?
This is a form of risk management which protects individuals from any form of loss or damage.
Life insurance has different types which are appropriately mentioned and matched above.
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6) Which statement about the ladder is true?
A. The ladder has parallel line
segments only.
B. The ladder has perpendicular line segments only.
C. The ladder has parallel line
segments and perpendicular line
segments.
D. The ladder has neither parallel line segments nor perpendicular line segments.
The true statement about a ladder is; the ladder has parallel line segments and perpendicular line segments.
Parallel lineParallel lines are lines that never meet on the same plane which have equal distance apart from each other.
Perpendicular lineThey are lines that intersect each other to form a right angle.
Therefore, the ladder has parallel line segments and perpendicular line segments.
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Graph the image of the figure given the transformation
This transformation requires us to shift 1 unit left and 4 units down.