To solve this problem we need the definition of like terms:
• Two terms will be called ",like terms," if they have the same variable or variables.
In this case, the expression we have is:
\(a+5a\)The first term is "a", it contains only the variable a.
The second term is "5a" it contains the coefficient 5 and the variable a.
Since the two terms have the same variable, the terms are like terms.
Answer: Yes
How does a recipient not-for-profit entity record the receipt of a gift that will be transferred without restriction to another charitable entity? What if the donor retains the right to revoke or redirect the gift?
When a recipient not-for-profit entity receives a gift for transfer to another charitable entity, it records it as revenue upon receipt.
If the donor retains the right to revoke or redirect the gift, it's recognized as a "Contribution Receivable" liability until the restrictions lapse or are fulfilled. Consult accountants for proper accounting.
When a recipient not-for-profit entity receives a gift that will be transferred without restriction to another charitable entity,
The accounting treatment typically involves two steps:
Recognition on Receipt:
The recipient not-for-profit entity should recognize the gift as revenue or contribution in its financial records upon receipt.
This is because the organization has legal control and possession of the gift, even if it intends to transfer it to another charitable entity.
The accounting entry will depend on the nature of the gift received ( cash, securities, in-kind donation).
Classification as a "Contribution to be Transferred":
The second step involves classifying the received gift as a "Contribution to be Transferred" on the recipient's balance sheet.
This classification reflects that the entity intends to pass the gift along to another charitable entity
and that the funds are not restricted for use within the recipient organization.
If the donor retains the right to revoke or redirect the gift,
The recipient not-for-profit entity should follow the guidelines for recognizing contributions subject to donor restrictions.
Until the restrictions lapse or are fulfilled, the contribution should be recorded as a liability ( "Contribution Receivable").
Accounting for contributions with donor-imposed restrictions can be complex,
and the specific treatment will depend on the terms of the gift and applicable accounting standards.
It's essential for the not-for-profit organization to consult with its accountants
or financial advisors to ensure compliance with relevant accounting principles and reporting requirements.
Also, it's important to note that accounting standards and regulations may vary across different countries or regions,
so organizations should adhere to the accounting principles applicable in their specific jurisdiction.
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Please help me fast because the due date is tomorrow.
Step-by-step explanation:
we can find value of x and y through Pythagoras theorem
according to it
h² = a² + b²
h = hypotenuse (i.e longest side of a right angled triangle)
a = side
b = base
in ∆ABC
AB² = AC² + BC²
(10)² = (8)² + x²
100 = 64 + x
x = 100 - 64 = 36
x² = √36 = 6
x = 6
in ∆PQR
PQ² = PR² + RQ²
y² = (4)² + (3)²
y = 16 + 9
y = 25
y² = √25 = 5
y = 5
a) angle BAC = angle QPR
b) value of x = 6 cm
c) value of y = 5 cm
hope this helps you dear!
Answer:
Step-by-step explanation:
When the triangles are similar
\(\frac{AC}{PR}=\frac{AB}{PQ} =\frac{BC}{QR} \\\\\)
Taking First and Third ratios
\(\frac{AC}{PR} =\frac{BC}{QR} \\\\\frac{8}{4} =\frac{x}{3} \\\\x=\frac{8*3}{4} \\\\x=6cm\)
Taking First and Second ratios
\(\frac{AC}{PR} =\frac{AB}{PQ} \\\\\frac{8}{4} =\frac{10}{y} \\\\y=\frac{4*10}{8}\\\\ y=5cm\)
Please help asap…………..
Answer:
\(y = - \frac{1}{2} x + 1\)
Answer:
y=-1/2x+1
Step-by-step explanation:
The slope of the line can be found using the rise over run. The rise is how far it goes up or down the y axis and the run is how far it goes left or right on the x-axis. Then put the rise over run and you have your slope.The rise is going down 1, so the value for rise is -1. The run is going 2 to the right, to the value for run is 2. Then rise over run, you end up with -1/2. To find the y-intercept, look at how many units the line is up from the x-axis on the y axis. The line is 1 unit above the x-axis on the y axis, so the y-intercept is 1. Puting the equation together, you get y=-1/2x+1.
What is the value of the digit in the ones place?
2,615
A. 50
B. 5
OC. 2,000
OD. 100
/5/= can someone please explain this?
Answer: / = divided by
Step-by-step explanation:
In a report prepared by the Economic Research Department of a major bank the Department manager maintains that the average annual family income on Metropolis is $48,432. What do you conclude about the validity of the report if a random sample of 400 families shows and average income of $48,574 with a standard deviation of 2000?
Answer:
This report is valid
Step-by-step explanation:
We use this z score formula to solve for a question where a random number of samples is given:
z-score is z = (x-μ)/σ/√n
where x is the raw score
μ is the population mean
σ is the population standard deviation
n = number of samples
When σ/√n = Standard error
From the above question,
x = $48,574
μ = $48,432
σ = 2000
n = 400 families
z = $48, 574 -$48,432/(2000/√400)
= $48, 574 -$48,432/(2000/20)
= $48, 574 -$48,432/100
= 1.42
The z score is 1.42
H0 = μ = $48,432
At 0.05, we reject H0 if z < - 1.96 or > 1.96
z = 1.42
Therefore, H0 cannot be rejected.
The central limit theorem also holds because a sufficiently large amount of random samples (400) where taken from the population and replaced and this causes the mean to be randomly distributed.
Therefore, from the above z score, what we can conclude about the validity of the report is that the REPORT IS VALID because H0 cannot be rejected and the central limit theorem holds.
What is the distance between -12 and 15?
Answer:
27
Step-by-step explanation:
to get the distance, add -12 and 15 which gets you 27
Answer:
27
Step-by-step explanation:
If -12 is 12 spaces away from 0,
and 15 is 15 spaces away from 0,
15+12=27 spaces
Pz Answer for Brainliest
Answer:
thank you for free point and have a nice day
Answer:
Where is the question
Step-by-step explanation:
a person in a whispering gallery standing at one focus of the ellipse can whisper and be heard by a person standing at the other focus because all the sound waves that reach the ceiling are reflected to the other person. if a whispering gallery has a length of 130 feet, and the foci are located 30 feet from the center, find the height of the ceiling at the center. round your answer to 4 decimal places. submit questionquestion 9
The Height of the ceiling at the center is 57.6628 feet
In geometry, an ellipse is a two-dimensional shape, that is defined along its axes. An ellipse is formed when a cone is intersected by a plane at an angle with respect to its base.
It has two focal points. The sum of the two distances to the focal point, for all the points in curve, is always constant.
The General form of ellipse is \(\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1\)
According to the question,
Length of whispering gallery is 130 feet
The foci are located 30feet from the center (0,0)
So, 2a = 130
=> a = 130/2
=> a = 65
and c = 30
As we know ,
=> c² = a² - b²
=> (30)² = (65)² - b²
=> 900 = 4225 - b²
=> b² = 4225 - 900
=> b² = 3325
=> b = 57.7 feet
Therefore , the height of the ceiling at the center is 57.6628 feet
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The vertex form of the equation of a parabola is y = (x + 5)2 + 49.
What is the standard form of the equation?
O A. y= x2 + 10x + 74
B. y= x2 + 5x +49
O c. y = x2 + 49x + 35
d
O D. y= 5x2 + 10x+ 74
SUBMIT
Answer:
A
Step-by-step explanation:
HW3 Applying the Pythagorean theorem
Tony is building a dog house, and the front view of the roof is shown below. What is the height of the roof?
25 inches
41 inches
21 inches
20 inches
40 inches
29 inches
By using Pythagoras theorem we get the height of the roof of dog house is 21 inches.
What is Pythagoras theorem?The Pythagoras theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.
This theorem is named after the Greek philosopher Pythagoras, who lived around 570 BC. born.
According to the question:
Given, Hypotenuse(h) = 29 inches
Base(b) = 40/2 = 20 inches
Using Pythagoras theorem, we get
h² = b² + p²
⇒ 29² = 20² + p²
⇒ p² = 29² - 20²
⇒ p² = 841 - 400
⇒ p² = 441
⇒ p = √441
⇒ p = 21
∴ The height of the roof of dog house is 21 inches.
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There are 294 students in the senior class. Four of the students will be chosen to be the President, Vice-President, Secretary, and Treasurer of the
class. How many different ways can this happen?
There are _______
different ways to choose the officers.
Answer:
304,985,751 ways
Step-by-step explanation:
The formula for determining the pressure, p, exerted on an object at a depth, h, below the surface of a liquid is p = s + dgh, where s is the atmospheric pressure, d is the density of the liquid, and g is the acceleration due to gravity.
(Pls Explain the Answer in simple terms)
Answer:
The formula for determining the pressure, p, exerted on an object at a depth, h, below the surface of a liquid is p = s + dgh
\(p(pressure) = s(atmospheric \: pressure) + d(density \: of \: the \: liquid)g(acceleration \: due \: to \: gravity)h\)
Step-by-step explanation:
where s is the atmospheric pressure, d is the density of the liquid and g is the acceleration due to gravity.
The ratio of vowels to consonants in a word is 5 to 7. Are there more vowels or consonants in the word?
Answer:
ratio is 5-7
Step-by-step explanation:
have a nice day.
Solve this system of equations
3x+3y+z =-18
x-3y+2z=15
8x-2y+3z=7
What is the answer to this question.These are the answers I get to choose from
The steps necessary to create a construction of perpendicular lines are:
Step 1: Draw the original line.
Step 2: Draw arcs around a point of the line.
Step 3: Use arcs to find a second point.
Step 4: Draw the perpendicular line.
Therefore, the correct answer is B, C, D, A.
what is the best use of
Trigonometry is best used in navigation to estimate where to point the compass to get a straight line. It will be simple to pinpoint a location as well as find distance and see the horizon using a compass and trigonometric functions in navigation.
What is Trigonometry?The area of mathematics known as trigonometry examines the correlation between the ratios of a right-angled triangle's sides to its angles. Trigonometric ratios, such as sine, cosine, tangent, cotangent, secant, and cosecant, are used to study this relationship. The concept of trigonometry was developed by the Greek mathematician Hipparchus, and the word trigonometry is a derivative of Latin from the 16th century.
One of the most significant area of mathematic is rigometry. The words "Trigonon" and "Metron," which mean respectively "triangle" and "measure," are combined to form the word "trigonometry." It is the investigation of how a right-angled triangle's sides and angles relate to one another. Therefore, using formulas and identities based on this relationship aids in determining the measure of a right-angled triangle's unknown dimensions.
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Full question:
What is the best use of trigonometry?
Write the geometric sequence in function notation.
Answer:
d
Step-by-step explanation:
Find the measure of angle AEB
Answer:
∠ AEB = 114°
Step-by-step explanation:
the chord- chord angle AEB is half the sum of the measures of the arcs intercepted by the angle and its vertical angle , that is
∠ AEB = \(\frac{1}{2}\) (AB + CD) = \(\frac{1}{2}\) (140 + 88)° = \(\frac{1}{2}\) × 228° = 114°
A room in an attic has a sloping wall that makes an angle of 55° with the floor, which is parallel to the ceiling.
What is the measure of an angle that forms a pair of same-side interior angles with that angle?
The measure of an angle that forms a pair of same-side interior angles with that angle will be 55 degrees
Same side interior anglesGiven the following parameters from the question;
sloping angle = 55 degrees
Since the room is parallel to the ceiling, the measure of an angle that forms a pair of same-side interior angles with that angle will be equal to the sloping angle.
Hence the required measure will be 55 degrees
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Which linear function has a graph that includes all of the points in the table?
х
у
-22
-3
-1
-12
o
-7
2
3
13
Of(x) = -5x - 7
Of(x) = 5x - 7
f(x) = 2x + 6
O f(x) = -23 + 6
Answer:
B. f(x) = 5x - 7
Step-by-step explanation:
✔️Using the table of values given, find the slope (m) and y-intercept (b) of the line of the graph that represents the table, then write the function in slope-intercept form.
✔️Slope (m) using (0, -7) and (2, 3):
Slope (m) = ∆y/∆x
Slope (m) = (3 -(-7))/(2 - 0)
Slope (m) = 10/2
Slope (m) = 5
✔️ y-intercept (b):
b = -7, because where x = 0, y = -7, which is the point where the y-axis is intercepted by the line of the graph.
✔️Write the linear function in slope-intercept form by substituting m = 5 and b = -7 into f(x) = mx + b
Thus:
f(x) = 5x + (-7)
f(x) = 5x - 7
Therefore, the linear function that has a graph that includes all the points in the table would be f(x) = 5x - 7.
EXPLORE
The distance that the light from a lighthouse can be seen from a boat on the water is
a function of the height of both the lighthouse and the viewer above the water level.
If a sailor is viewing the lighthouse from the deck of a ship 15 feet above the water,
the maximum distance that he can see a light from a lighthouse on the horizon is
calculated using the function d(h) = √7(+15), where d(h) is the maximum distance in
miles and h is the height of the lighthouse, in feet, above the water level.
4
1.
In the 1850s, planning began for a lighthouse at Bolivar Point, Texas. Local
mariners determined that the light from the lighthouse should be visible from
a boat 14 miles offshore. Write an equation that could be used to determine
required height of the lighthouse.
15=√ 7+15
The maximum distance that the sailοr can see frοm the deck οf the ship is 0 miles.
What is a functiοn?A special kind οf relatiοn knοwn as a functiοn is οne in which each input has precisely οne οutput. In οther wοrds, the functiοn generates exactly οne value fοr each input value. Because οne is mapped tο twο different values, the abοve graph depicts a relatiοnship rather than a functiοn. Hοwever, if οne were instead mapped tο a single value, the relatiοnship mentiοned abοve wοuld becοme a functiοn.
Additiοnally, οutput values can be equal tο input values. We knοw that the square rοοt functiοn is an increasing functiοn, which means that the value οf the functiοn increases as the input value increases.
Therefοre, tο find the maximum value οf the functiοn, we need tο find the maximum value οf h.
Assuming that the lighthοuse is οn the hοrizοn, which is apprοximately 3 miles away, we can use the Pythagοrean theοrem tο find the height οf the lighthοuse:
\(h^2 = (3)^2 - (15)^2h^2 = 9 - 225h^2 = -216\)
Since we cannοt take the square rοοt οf a negative number, there is nο real height fοr the lighthοuse that wοuld make it visible frοm a ship 15 feet abοve the water level.
Therefοre, the maximum distance that the sailοr can see frοm the deck οf the ship is 0 miles.
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Two years ago, Lisbeth's age was a fifth of Olivia's age. In four years, Olivia's age will be three times Lisbeth's age. How old are they now?
Answer:
Olive's age = 32
Lisbeth's age = 8
Step-by-step explanation:
Declaration
Let Eisbeths present age = x
Let Olive's age = y
Equations
(x - 2) = 1/5 (y - 2)
x + 4 = 1/3(Y + 4)
Solution
1st equation
(x - 2) = 1/5 (y - 2) Multiply both sides by 5
5(x - 2) = y - 2 Remove the brackets
5x - 10 = y - 2 Add 10 to both sides
5x -10+10 = y - 2+10 Combine
5x = y + 8 Subtract 8 from both sides
5x - 8 = y + 8 - 8 Combine
5x - 8 = y
2nd Equation
x + 4 = 1/3(y + 4) Multiply both sides by 3
3(x + 4) = y + 4 Remove the brackets
3x + 12 = y + 4 Subtract 3 from both sides
3x + 12 - 4 = y + 4 - 4 Combine
3x + 8 = y
Note Since y is the same in both equations, the left side of each can be thought of as equal to each other.
3x + 8 = 5x - 8 Add 8 to both sides
3x + 8 + 8 = 5x - 8 + 8 Combine
3x + 16 = 5x Subtract 3x from both sides
3x - 3x + 16 = 5x - 3x Combine
16 = 2x Divide by 2
16/2 = 2x/2
8 = x
y = 3x + 8
y = 32
Which inequality is shown in the graph?
Answer:
The answer is "A" i think not 100% sure
tell me if wrong
Segments RA and NY are best described as which of the following?
A. Parallel segments
B. Perpendicular lines
C. Perpendicular segments
D. Perpendicular rays
determine the z transform for each of the following sequences. sketch the pole-zero plot and indicate the region of convergence. indicate whether or not the (discrete time) fourier transform of the sequence exists.
The Fourier transform of this sequence does not exist
What is Fourier Transform?
The output of a Fourier transform is a function of frequency and is a mathematical transformation that breaks down functions into frequency components.
To determine the z-transform of a given sequence, we need to find the sum of the sequence's terms multiplied by z raised to the negative of the term's position. For example, given a sequence x[n], the z-transform X(z) is given by:
\(X(z) = sum_{n=-infinity}^{infinity} x[n] * z^{-n}\)
To sketch the pole-zero plot of a z-transform, we need to plot the poles (values of z where the z-transform is infinite) and zeros (values of z where the z-transform is zero) in the complex plane. The region of convergence (ROC) is the set of values of z for which the sum defining the z-transform converges.
\(x[n] = a^n u[n]\), where a is a constant and u[n] is the unit step function\((u[n] = 1 for n > = 0\) and \(u[n] = 0 for n < 0)\)
The z-transform of this sequence is given by:
\(X(z) = sum_{n=0}^{infinity} a^n * z^{-n}= 1 / (1 - a*z^{-1})\)
This z-transform has a pole at z = 1/a and a zero at z = 0. The pole-zero plot consists of a single pole at 1/a in the complex plane. The ROC is the set of values of z such that \(|a*z^{-1}| < 1\), which is the region inside the unit circle centered at the origin. The Fourier transform of this sequence exists.
\(x[n] = (-1)^n u[n].\)
The z-transform of this sequence is given by:
\(X(z) = sum_{n=0}^{infinity} (-1)^n * z^{-n}= 1 / (1 + z^{-1})\)
This z-transform has a pole at z = -1 and a zero at z = 0. The pole-zero plot consists of a single pole at -1 in the complex plane. The ROC is the set of values of z such that \(|z^{-1}| < 1\), which is the region inside the unit circle centered at the origin. The Fourier transform of this sequence exists.
\(x[n] = n^2 u[n].\)
The z-transform of this sequence is given by:
\(X(z) = sum_{n=0}^{infinity} n^2 * z^{-n}= z^{-2} / (1 - z^{-1})^3\)
This z-transform has poles at z = 1, z = 1, and z = 1. The pole-zero plot consists of three poles at the origin in the complex plane. The ROC is the set of values of z such that \(|z^{-1}| > 1\), which is the region outside the unit circle centered at the origin.
Hence, The Fourier transform of this sequence does not exist.
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List the terms of the polynomial. Give the coefficient of the second term. -4y5 + 6x4 +9w³ - 4w - 1 Separate terms using commas. Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c . Make sure your variables match those in the question. Terms Coefficient
The coefficient of the second term, 6x⁴, is 6.
The terms of the polynomial are:
-4y⁵, 6x⁴, 9w³, -4w, -1
The coefficient of the second term, which is 6x⁴, we look at the number in front of the variable term.
The coefficient is 6.
Therefore, the list of terms is:
-4y⁵, 6x⁴, 9w³, -4w, -1
Each term represents a separate component of the polynomial, where the variable is raised to a certain power and multiplied by its coefficient.
The coefficients indicate the scalar value by which each term is multiplied.
The polynomial's terms are -4y5, 6x4, 9w3, -4w, and -1.
Looking at the number in front of the variable term, we can determine the second term's coefficient, which is 6x4.
There is a 6 coefficient.
As a result, the terms are as follows: -4y5, 6x4, 9w3, -4w, and -1.
Each term represents a different part of the polynomial, where the variable is multiplied by its coefficient and raised to a given power.
The scalar value by which each phrase is multiplied is shown by the coefficients.
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A cup of tea is placed on a table. At a time of t minutes after being placed on the table, its temperature in degrees Celsius is given by
T = 20 + Ae⁻ᵏᵗ
Where A and K are positive constants. The initial temperature of the tea was 70℃
a. Find the value of A
b. The tea takes 4 minutes to decrease in temperature from 70℃ to 50℃
show that k = 1/4 In (5/3)
please can someone explain how to get the time (t minutes) as well as a. and b. as i am baffled! i dont know what to do
Thankyouu!!
Step-by-step explanation:
To solve the problem, we'll use the information given to find the values of A and k in the equation T = 20 + Ae^(-kt), where T is the temperature in degrees Celsius at time t.
a. Finding the value of A:
We're given that the initial temperature of the tea was 70℃. Substituting this into the equation, we get:
70 = 20 + Ae^(0) (since e^0 = 1)
70 - 20 = A
A = 50
So the value of A is 50.
b. Finding the value of k:
We're told that it takes 4 minutes for the tea to decrease in temperature from 70℃ to 50℃. We can use this information to set up an equation and solve for k.
Substituting T = 70 and t = 4 into the equation, we have:
70 = 20 + 50e^(-4k)
Subtracting 20 from both sides:
50 = 50e^(-4k)
Dividing both sides by 50:
1 = e^(-4k)
Taking the natural logarithm (ln) of both sides:
ln(1) = ln(e^(-4k))
0 = -4k
Dividing both sides by -4:
0 = k
However, we need to check if this solution satisfies the condition for the tea to decrease in temperature from 70℃ to 50℃ in 4 minutes.
Substituting T = 50 and t = 4 into the equation, we have:
50 = 20 + 50e^(-4(0))
50 = 20 + 50e^0
50 = 20 + 50(1)
50 = 20 + 50
50 = 70
Since 50 is not equal to 70, the value of k = 0 does not satisfy the given condition.
Let's try another approach:
Substituting T = 50 and t = 4 into the equation, we have:
50 = 20 + 50e^(-4k)
Subtracting 20 from both sides:
30 = 50e^(-4k)
Dividing both sides by 50:
0.6 = e^(-4k)
Taking the natural logarithm (ln) of both sides:
ln(0.6) = ln(e^(-4k))
ln(0.6) = -4k ln(e)
ln(0.6) = -4k(1)
ln(0.6) = -4k
Simplifying further:
k = ln(0.6) / -4
Using a calculator or computer to evaluate ln(3/5) / -4, we get approximately:
k = ln(5/3) / 4
To recap:
a. The value of A is 50.
b. The value of k is approximately k = ln(5/3) / 4
.
Note: The calculations provided are based on the given information and assumptions. If there are any additional details or specific conditions provided, please let me know, and I'll be happy to assist you further.
How do you find the area of a circle if the radius is a fraction?
I'm confused-
Answer:
It shouldn't be a problem.
Calculate the area as usual.
But if the fraction is troubling you then, change the fraction (by further solving/dividing it) into decimal.
E, F, and H are three of the vertices of rectangle EFGH on the coordinate plane. What are the coordinates of G, the fourth vertex of the rectangle?
if ABCD and EFGH are similar, then you should be able to line up corresponding points (for example, A corresponds to E, B corresponds to F). if they're different sizes, you should then dilate one of them so that they are the exact same size
Answer:
The coordinates of G are (-5, -5)