Yes , it is a average rate of change over the interval -1
What is average rate of change?
It is a measure of how much the function changed per unit, on average, over that interval. It is derived from the slope of the straight line connecting the interval's endpoints on the function's graph.
suppose function y = x+1
then at interval [ -1 , 1]
at x= -1
y= 0
and at x= 1
y= 2
Rate of change = (y2 - y1)/(x2 - x1) = (2-0) / -1-1
Rate of change = 2/-2
= -1
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If an arrow is shot upward on Mars with a speed of 52 m/s, its height in meters t seconds later is given by y = 52t − 1.86t2. (Round your answers to two decimal places.)
(a) Find the average speed over the given time intervals. (i) [1, 2] m/s (ii) [1, 1.5] m/s (iii) [1, 1.1] m/s (iv) [1, 1.01] m/s (v) [1, 1.001] m/s
(b) Estimate the speed when t = 1. m/s
48.28 m/s is the speed .
What is the definition of a velocity simple?
The speed at which a body or object is moving determines its direction of motion. Most of the time, speed is a scalar quantity. Velocity is fundamentally a vector quantity.
The rate at which distance changes is what it is. It measures the displacement's rate of change.
Height, y = 52t - 1.86t²
Velocity = ∆y/∆t = 52 - 1.86 * 2t = 52- 3.72t
A. Average velocity = (v1 + v2)/2
(i) At t = 1, 2
Average velocity = (52 - 3.72*1 + 52 -3.72*2)/2 = 46.42 m/s
(ii) At t = 1,1.5
Average velocity = (52 - 3.72*1 + 52 - 3.72*1.5)/2 = 47.35 m/s
(iii) At t = 1,1.1
Average velocity = (52 - 3.72*1 + 52 -3.72*1.1)/2 = 48.09m/s
(iv) At to = 1, 1.01
Average velocity = (52 - 3.72*1 + 52 - 3.72*1.01)/2 = 48.26 m/s
(iv) At t = (1, 1.001)s
Average velocity = (52 - 3.72*1 + 52 - 3.72*1.001)/2 = 48.28 m/s
B. Speed at t = 1s
Velocity = 52 - 3.72 * 1 = 48.28 m/s
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John is 6 feet tall and standing 4 feet from a tree. If Johns shadow is 12 feet long, how tall is the tree
The height of the tree is 8 feet.
What are Similar triangles:Triangles which has the same shape but are different in size are said to be similar triangles for example all equilateral triangles are similar triangle.
It is also defined as if the corresponding sides of two triangles are in proportion then the two triangles are said to be a similar triangles. The symbol ‘~’ is used to denote the similarity between two triangles.
If two triangles ΔABC and ΔXYZ are two similar triangles then the condition between corresponding sides is given by
AB: XY = BC: YZ = AC: XZHere we have
John's height is 6 feet
He standing 4 feet from a tree
Johns's shadow is 12 feet long
We can represent the whole scenario as two similar triangles
[ Picture is given below ]
As we know in Similar triangles the ratio of corresponding sides is equal
Let 'x' be the height of the tree
From given figure
=> AC: DE = BC: EB
=> x : 6 = 16 : 12
=> x/6 = 16/12
=> 12x = 16 × 6
Divided by 6
=> 2x = 16
Divided by 2
=> x = 8
Therefore,
The height of the tree is 8 feet.
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data was collected at two local bookstores to determine if the average price of new textbooks was significantly lower at an independent bookstore than at the uf bookstore. the p-value was 0.00, and the 95% confidence interval was ( -11.98, -4.52).
An Interval is all the numbers between two given numbers. 95% confidence level would result in a wider confidence interval.
What is interval in math?
A set of real numbers known as an interval in mathematics contains all real numbers falling inside any two of the set's numbers. For instance, the interval containing 0, 1, and all integers in between is the set of values x satisfying 0 x 1.Introducing intervals, bounded collections of numerical values that are highly helpful in explaining domain and range. To demonstrate where a value lies in relation to two endpoints, we can use interval notation. For instance, the expressions -3x2, [-3,2], and xR|-3x2 all denote that x is between -3 and 2, and either endpoint could be it.An inequality can be used to find an interval. The interval employs the inequality symbols to show whether the endpoints are included in the interval and uses the boundaries of the inequality as endpoints. The interval is defined as the values lying between the endpoints.Given data :
confidence interval = ( -11.98, -4.52)
-11.98≤x≤-4.52, [-11.98,-4.52], and {x∈ℝ|-11.98≤x≤-4.52} all mean that x is between -11.98 and -4.52 and could be either endpoint.
95% confidence level would result in a wider confidence interval. Increasing the confidence level increases the length of the confidence interval.
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question 1 fill in the blank: data aggregation involves creating a ____collection of data that originally came from multiple sources.
Data aggregation involves creating a unified collection of data that originally came from multiple sources.
It is the process of combining data from multiple sources into one file, report or summary. Data aggregation can be done using a variety of methods, such as mathematical formulas, grouping, filtering and sorting. For example, a mathematical formula can be used to calculate the average of a set of numbers. Grouping data can be used to divide data into categories and subcategories, such as by country or by product. Filtering data involves removing unnecessary or unwanted data, such as outliers or irrelevant information. Finally, sorting data can be used to organize data in a specific order, such as alphabetically or numerically. Data aggregation is a useful tool for making sense of large datasets and providing greater insight into the data.
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Consider a continuous-time random process, X(t), obtained as the result of a sample-and-hold operation on a noise voltage V(t). IT can be expressed analytically asX(t) = \sum_{n = - \infty }^{\infty} V(nT)h(t- nT)where T is the sampling period and h(t) is the holding pulse,h(t) = 1 \: \: \: \: \: \: 0\leq t \leq Tandh(t) = 0 \: \: \: \: \: \: otherwise
Assume that V(nT) is zero-mean for all n.
Assume that V(nT) has variance\sigma _{v}^{2}for all n.
Assume that T is large enough to render V(nT) and V([n+k]T) statistically independent for all n and for all k\neq0.
A. Find the autocorrelation of X(t).
The holding pulse is nonzero only for[tex]0 \leq t \leq T[/tex], the autocorrelation of X(t) is given by\begin{align}
[tex]R_{xx}(t,t+\tau) =[/tex]
[tex]\begin{cases}\sigma_v^2 \sum_{n=-\infty}^{\infty}\sum_{m=-\infty}^{\infty}h(t-nT)h(t+\tau-mT) & 0 \leq \tau \leq T \\0 & \text{otherwise}.\end{cases}\end{align}[/tex]
The autocorrelation of X(t) is defined as[tex]R_{xx}(t,t+\tau) = E[X(t)X(t+\tau)][/tex]where E[.] is the expectation operator. Since V(nT) has zero mean and is statistically independent, we can write
[tex]R_{xx}(t,t+\tau) &= E[X(t)X(t+\tau)]\\ &= E\left[\sum_{n=-\infty}^{\infty}V(nT)h(t-nT)\sum_{m=-\infty}^{\infty}V(mT)h(t+\tau-mT)\right]\\&= \sum_{n=-\infty}^{\infty}\sum_{m=-\infty}^{\infty}E[V(nT)V(mT)]h(t-nT)h(t+\tau-mT)\\&= \sigma_v^2 \sum_{n=-\infty}^{\infty}\sum_{m=-\infty}^{\infty}h(t-nT)h(t+\tau-mT)\end{align}[/tex]
Since the holding pulse is nonzero only for[tex]0 \leq t \leq T[/tex], the autocorrelation of X(t) is given by\begin{align}
[tex]R_{xx}(t,t+\tau) =[/tex]
[tex]\begin{cases}\sigma_v^2 \sum_{n=-\infty}^{\infty}\sum_{m=-\infty}^{\infty}h(t-nT)h(t+\tau-mT) & 0 \leq \tau \leq T \\0 & \text{otherwise}.\end{cases}\end{align}[/tex]
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(3,7) & (-2,-1)
find the slope!!
The slope of the line passing through (3, 7) and (-2, -1) is 1.6
What is an equation?An equation consists of numbers and variables linked together by mathematical operations to form an expression.
A linear equation is in the form:
y = mx + b
Where m is the rate of change and b is the initial value
The slope of the line passing through (3, 7) and (-2, -1) is:
Slope = (-1 - 7) / (-2 - 3)
Slope = -8/-5 = 8 / 5
Slope = 1.6
The slope is 1.6
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Find the height of the trapeziod.
Answer:
h = 6 m
Step-by-step explanation:
the area (A) of a trapezoid is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂)
where h is the perpendicular height between the bases b₁ and b₂
given A = 51 , b₁ = 10 and b₂ = 7 , then
[tex]\frac{1}{2}[/tex] h (10 + 7) = 51 ( multiply both sides by 2 to clear the fraction )
17h = 102 ( divide both sides by 17 )
h = 6 m
Find the height of the trapezoid.
if the area of the trapezoid is [tex]51m^{2}[/tex] and parallel sides are [tex]7m[/tex] and [tex]10m[/tex].
To find the height of the trapezoid, substitute the area and parallel sides into the formula for the area of the trapezoid.
Trapezoid area formula is
[tex]L=\frac{1}{2}(number of parallel sides)(height)\\ L=\frac{1}{2} (a+b)(t)[/tex]
The next step is substitute the area and parallel sides into the formula for the area of the trapezoid.
[tex]51=\frac{1}{2}(7+10)(t)[/tex]
Complete the arithmetic operation
[tex]51=\frac{1}{2}(17)(t)\\ 51=\frac{17}{2}(t)[/tex]
Multiply each side by [tex]\frac{2}{17}[/tex]
[tex]51(\frac{2}{17}) =\frac{17}{2}(\frac{2}{17})(t)\\ 6=t[/tex]
So the height of the trapezoid is [tex]6m[/tex]
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A linear relationship is given in the table.
x y
−1 6
0 3
1 0
2 −3
What is the slope of the relationship?
−3
−2
2
3
From the given points, it was found that the slope is m= -3.
Linear FunctionYou can correlate two data from a function. An equation can be represented by a linear function. The standard form for the linear equation is: y= mx+b , for example, y=9x+5. Where:
m= the slope.
b= the constant term that represents the y-intercept.
For the given example: m=9 and b=5.
The question gives some points of the linear function, see below.
x y
−1 6
0 3
1 0
2 −3
From the given data you can find the slope by solving the system linear equation.
You can write a system linear equation using the points: (-1,6) and (2,-3), for example.
6=m*(-1)+b (1)
-3=2m+b (2)
Multiplying equation 2 by -1, you have
6=-m+b (1)
3= -2m-b (2)
Summing the previous equation, you have:
9=-3m
m= -9/3
m= -3
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Answer: the answer is A
Step-by-step explanation: I took the text and got it right
Find the x intercept of the graph of the equation .
2x - 4y = 9
To find the x-intercept of the graph of the equation 2x - 4y = 9, we need to find the value of x when y = 0.
We can solve for x as follows:
2x - 4y = 9
2x - 4(0) = 9 (substitute y = 0)
2x = 9
x = 9/2
Therefore, the x-intercept of the graph of the equation 2x - 4y = 9 is (9/2, 0).
The shipping container is a rectangular prism. Write a polynomial that represents the volume of the container. Express the answer in standard form.
The volume of the container is (x+6)(x-2)(x-1) cubic feet and it can be express as the form of polynomial.
Six faces make up the three-dimensional shape of a rectangular prism. The prism's faces are all rectangles. The shape of a rectangular prism is cuboidal.
There are two sets of parallel and congruent bases in this polyhedron. It has eight vertices, 12 sides, and six faces. Rectangular prisms are also known as a right rectangular prism, rectangular parallelepiped, and rectangular hexahedron.
Right rectangular prisms and oblique prisms are the two primary varieties of rectangular prisms. The bases of a right rectangular prism are parallel to the other faces.
The volume of a rectangular prism is simply the product of its three dimensions: in your case, the volume of the prism is, given x
[tex](x+6)(x-2)(x-1)[/tex]
A polynomial is a sum (with some coefficients) of powers of x, so, if we expand the product just written, we have.
[tex]=(x+6)(x-2)(x-1)\\\\=(x^2-2x+6x-12)(x-1)\\\\=(x^3+4x^2-12x-x^2-4x+12)\\\\=(x^3+3x^2-16x+12)[/tex]
Which is a polynomial and expresses the volume of the prism.
the complete question is,
How do you write a polynomial that represents the volume of a box that is a rectangular prism has the dimensions length x+6, width x-2, and height x-1?
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Chose two situations that describe volume
A measuring
The two situations that describe the volume:
A. the amount of shampoo in a bottle.
B. the amount of soap in a bar of soap.
What is volume?The space occupied by an object in three-dimensional space is called the volume of an object. In simple words, space is taken by an object.
Four phrases are given.
A. the amount of shampoo in a bottle.
This describes the volume.
B. the amount of soap in a bar of soap.
This also describes the volume.
c. the amount of border around a chalkboard.
This describes the perimeter.
D. the amount of wrapping paper covering a gift
This describes the surface area.
Therefore, A and B describe the volume.
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The complete Question:
Choose all the examples that describe volume.
A. the amount of shampoo in a bottle
B. the amount of soap in a bar of soap
c. the amount of border around a chalkboard
D. the amount of wrapping paper covering a gift
before the announcement of a three for one stock split, the selling price for a share of a stock in fossil oil refineries was 150 per share. immdeiatley afteyr the stock split, the propable price per share is
The price of the share of stock in fossil oil refineries after the three-for-one split is $50.
A stock split is an event in the stock market when the company declares split of stock into multiple parts to decrease the cost per share and make it easier to purchase.
Given,
The selling price of a stock in fossil fuel before split = $150
After one year the stock split into three parts
∴ Probable prices per share = Price before split/3
= $150/3
= $50
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A bakery is selling breakfast platters. A platter of 12 bagels costs $9.60. Additionally, it costs $8.80 for a gallon of coffee.
What is the slope of this situation?
0.80
0.73
9.60
8.80
The slope of this situation is equal to: A. 0.80.
How to calculate the slope of this situation?In Geometry, the rate of change of any straight line simply refers to its gradient or slope and it can be calculated by using this mathematical expression;
Rate of change (slope), m = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Based on the information provided, we can logically deduce the following slope and data points on the line:
Points on x-axis = 12
Points on y-axis = 9.6.
Substituting the given data points into the slope formula, we have the following;
Rate of change (slope), m = 9.6/12
Rate of change (slope), m = 0.80.
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the probability of rolling an even number when an unfair die is rolled is about 0.65. which of the following is closest to the probability that an even number is rolled 15 or fewer times when the die is rolled 25 times total
The probability that an even number is rolled 15 or fewer times when the die is rolled 25 times total can be calculated using the binomial probability formula. In this case, the probability of success is rolling an even number (0.65) and the number of trials is 25.
Using the binomial probability formula, we can calculate the probability of getting 15 or fewer even numbers when the die is rolled 25 times as follows:
P (X <= 15) = P (X = 0) + P (X = 1) + P (X = 2) + ... + P (X = 15)
Where X is the number of even numbers rolled and P(X) is the probability of getting X even numbers.
Using the binomial probability formula:
P(X) = (25 choose X) * (0.65)^X * (0.35)^(25-X)
Plugging in the values, we get:
P(X <= 15) = (25 choose 0) * (0.65)^0 * (0.35)^25 + (25 choose 1) * (0.65)^1 * (0.35)^24 + (25 choose 2) * (0.65)^2 * (0.35)^23 + ... + (25 choose 15) * (0.65)^15 * (0.35)^10
After calculating all the values, we get that the probability of rolling an even number 15 or fewer times when the die is rolled 25 times is about 0.28.
Therefore, the closest answer choice to the probability that an even number is rolled 15 or fewer times when the die is rolled 25 times is 0.25.
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A car owner pays for new brakes that cost $756.25, with a credit card that has an annual rate of 24.5%. Determine the total amount paid, if the car owner pays $100 a month, until the balance is paid off.
The total amount paid with a monthly payment of $100 for a credit of $756.25 at an annual rate of 24.5% is $871.69.
What is a periodic payment?The periodic payment is the amount the car owner pays monthly to offset the balance on the credit card for purchasing new brakes.
The periodic payment is determined using an online finance calculator as follows:
N (# of periods) = 1 year
I/Y (Interest per year) = 24.5%
PV (Present Value) = $756.25
PMT (Monthly Payment) = $100
Results:
Sum of all periodic payments = $871.69
Total Interest = $115.44
Thus the total payment made by the car owner is $871.69 with an interest of $115.44.
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Answer:
$830.52
Step-by-step explanation:
I got it right on the test :)
Have great day
In the figure below lines A and B are parallel.Find the m<5 if m<1=75 and m <3=40
The unknown angle in the parallel lines is a follows;
m∠5 = 75 degrees
How to find angles in parallel lines?When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angles, alternate exterior angles, linear angles, vertically opposite angles etc.
Therefore, let's use the angle relationships to find the m∠5 in the parallel lines.
The angle m∠1 and m∠5 are corresponding angles.
Corresponding angles are congruent.
Therefore,
m∠1 = m∠5 = 75 degrees.
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Gombak Mega Store is having its Year-End-Sales. Ten percent, five percent and twenty percent discounts were given on shoes, handbags and watches respectively if two or more units of each item were bought. Noor bought three pairs of shoes, two units of handbag and one unit of watch. If the price (per unit) of shoes, handbag and watch is RM150, RM200 and RM250 respectively, how much money does Noor has to pay?
Answer:
$963.00
Step-by-step explanation:
.9(3x150) + .95(2x200) + 250
.9(450) + .95(400) + 250
405 + 308 + 250 = 963
If we are taking 10% off, that is like leaving 90% (.9) on.
If we are taking 5% off, that is like leaving 95% ( .95) on.
No discount for the watch because she only bought one.
given constants $a,$ $b,$ and $c,$ let $\alpha$ and $\beta$ be solutions to the equations \[a \cos \theta b \sin \theta
A constant is fixed, which is arbitrary since you don't know what that fixed number is the arbitrary denotes that no particular value has been ascribed.
The order of a differential equation is equal to the number of arbitrary constants in its general solution.
The highest-order derivative that a differential equation has is used to define the equation's order. The highest-order derivative of a differential equation is defined as its degree, which is expressed as a power. The formula:
c1=a1+ib1
and c2=a2+ib2
the solution will be
y(x)=(a1+ib1+a2+ib2)cos(ax)+i(a1+ib1−a2−ib2)sin(ax)
If and only if
a2=a1
and b2=−b1
will be the solution real because of complex conjugates using this property.
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Full question
Can arbitrary constants in solutions to 2nd-order linear differential equations be complex?
2.87 x 7.8
eeeeeeeeeeeeeee
Answer:
22.386
Step-by-step explanation:
region r is the base of a solid. for this solid, each cross section perpendicular to the x-axis is an isosceles right triangle with a leg in r. find the volume of the solid.
Without the equation of the graph of the region R, it is not possible to determine the volume of the solid defined by a region R, an isosceles right triangle cross-section, and a line y=k.
The question describes a solid where the base is a region R in the first quadrant, bounded by the graph of y, the x-axis, and the line y = k.
It is also mentioned that each cross section perpendicular to the y-axis is an isosceles right triangle with the right angle on the x-axis and one leg in the XY-plane.
However, the equation of the graph of the region R is not given, which makes it impossible to determine the range of y over which the solid is defined and therefore, calculate the volume of the solid. It's very important to have the equation of the graph of the region R to find the volume of the solid.
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The question is -
Let R be the region In the first quadrant bounded by the "graph of y the !-axis, and the line y The region R Is the base of a solid For the solid, each cross section perpendicular [tex]t_0[/tex] to the y-axis Is an isosceles right triangle with the right angle on the !-axis and one leg in the 1y-plane What is Ithe volume of the solid?
decide if you are given enough information to prove that the quadrilateral is a parallelogram practice c
No, you are not given enough information to prove that the quadrilateral is a parallelogram.
In order to prove that the quadrilateral is a parallelogram, we must have four points to calculate the lengths of the sides and angles. We need to verify that the opposite sides of the quadrilateral are equal in length and that the opposite angles are equal. We can use the formula for the area of a parallelogram: A = b*h, where b is the length of the base and h is the height of the parallelogram. We can also use the formula for the sum of the angles of a quadrilateral: A1 + A2 + A3 + A4 = 360 degrees. Without having the four points, we cannot calculate the lengths of the sides or angles, so we cannot prove that the quadrilateral is a parallelogram.
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Solve using the following equation and the listed values for the variables. Round your final answer to 2 decimal places A+B)/2) (a+b)/2) Where A = 21, B = 20,X = 19, Y = 20.
The average of two numbers, A and B, is calculated by adding them together and then dividing by two. In this case, A = 21, B = 20, X = 19, and Y = 20. When we calculate (A + B) / 2, we get 20.00.
1. Add A and B together: 21 + 20 = 41
2. Divide the sum by 2: 41 ÷ 2 = 20.50
3. Round the answer to two decimal places: 20.50 → 20.00
The average of two numbers, A and B, is calculated by adding them together and then dividing by two. This formula is expressed as (A + B) / 2. In this problem, we were given the values A = 21, B = 20, X = 19, and Y = 20. To solve for the average, we first need to add A and B together and get 41. Then we divide this sum by two and get 20.50. To get the final answer, we need to round this value to two decimal places, which results in the answer 20.00. This answer indicates that the average of 21 and 20 is 20.00.
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suppose you are solving a regression problem. you have 1000 labeled examples and decide to use ridge regression
Ridge regression is a type of linear regression used to reduce the effects of multi-collinearity. It is used with 1000 labeled examples to minimize the sum of the squared errors of the model.
Ridge regression is a type of linear regression used to reduce the effects of multi-collinearity. It adds a penalty term to the cost function that penalizes large coefficients, thus reducing their magnitude. The penalty term is a regularization term that is added to the cost function to minimize overfitting. To use ridge regression, one must select a value for the regularization parameter. This parameter determines how much the model weights the penalty term, and is usually determined through cross-validation. With 1000 labeled examples, ridge regression can be used to minimize the sum of the squared errors of the model. The model is then trained on the data, and predictions can be made. Ridge regression is a powerful tool for reducing the effects of multi-collinearity, and can be used to accurately model relationships between variables.
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Haile Resort opened for business on June 1 with eight air conditioned units. Its trial
balance on August 31 is as follows.
Haile Resort
Trial Balance
August 31, 2022
Debit Credit
Cash Br. 39,200
Prepaid Insurance 9,000
Supplies 5,200
Land 40,000
Buildings 240,000
Equipment 32,000
Accounts Payable Br. 9,000
Unearned Rent Revenue 9,200
Mortgage Payable 100,000
Share Capital—Ordinary 200,000
Retained Earnings 0
Dividends 10,000
Rent Revenue 172,400
Salaries and Wages Expense 89,600
Utilities Expense 18,400
Maintenance and Repairs Expense 7,200
Br.490,600 Br.490,600
Other data:
1. The balance in prepaid insurance is a 1-year premium paid on June 1, 2022.
2. An inventory count on August 31 shows Br.1,300 of supplies on hand.
3. Annual depreciation rates are buildings (4%) and equipment (10%).
4. Unearned rent revenue of Br.7,600 should be recognized as revenue prior
to August 31.
5. Salaries and wages of Br.750 were unpaid at August 31.
6. Rentals of Br.1,600 were due from tenants at August 31.
7. The mortgage note is dated 1/1/2022. The mortgage interest rate is 8% per
year.
Instructions
a. Journalize the adjusting entries on August 31 for the 3-month period
June 1–August 31.
b. Prepare an adjusted trial balance on August 31.
Answer:
Step-by-step explanation:
Answer:
So the answer is
FMA Assignment 01
1. Jornal
2. Date (Mar) Accounts Title Debit ($) Credit ($)
1 Cash 60,000
Common Stock 60,000
3 Land 23,000
Buildings 9,000
Equipment 6,000
Cash 38,000
5 Advertising Expenses 1,600
Cash 1,600
6 Prepaid Insurance 1,480
Cash 1,480
10 Equipment 26,000
Accounts Payable 26,000
18 Cash 800
Golf Revenue 800
19 Cash (100 x 15) 1,500
Unearned Revenue 1,500
25 Dividends 1,000
Cash 1,000
30 Salaries Expenses 600
Cash 600
30 Accounts Payable 26,000
Cash 26,000
31 Cash 500
Golf Revenue 500
P=C+MC solve for C?
All terms should be shifted to the left and set to zero. After that, make each factor equal to zero. [tex]C=\frac{P}{1+M}$$[/tex]
What is the solution of the term P=C+MC for C ?P=C+M C
As C + M C = P, rewrite the equation.
C+M C=P
Add C to the equation on both sides. .MC=P−C
Simplify M C = P C by dividing each term by C.
Divide each phrase into [tex]$M C|=| \boldsymbol{P}-\boldsymbol{C}$[/tex] by C
[tex]\frac{M C}{C C} \equiv \frac{P}{C}+\frac{-C}{C}$$[/tex]
C's common factor should be cancelled.
[tex]$M=\frac{P}{C}+\frac{-C}{C}$[/tex]
M=PC−1
An equation that is mostly made up of letters is said to be literal. Literal equations include those found in formulas. Each variable acts as a "literal" representation of an essential element of the overall relationship that the equation expresses. For instance, P = 2L + 2W is a formula for expressing a rectangle's perimeter.
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Asap please
Which one is correct
Answer: D. The distance from A to C
Step-by-step explanation:
This formula can be used to find the distance between two points on a three-dimensional coordinate system:
D(x, y, z) = [tex]\sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2} + (z_{2} - z_{1})^{2} }[/tex]
If you apply the formula for all options, you will find the distance from A to C is equal to [tex]\sqrt{5}[/tex]. The other distances are:
A. [tex]\sqrt{17}[/tex]
B. [tex]\sqrt{45}[/tex]
C. [tex]\sqrt{44}[/tex]
So, the answer is D.
...........,.........,
Answer:
Step-by-step explanation:bmmmv m
when you represent a three-dimensional object graphi- cally in the plane (on paper, the blackboard, or a com- puter screen), you have to transform spatial coordinates,
The simplest choice is a linear transformation, for example, the one given by the
matrix [tex]\left[\begin{array}{ccc}-1/2&1&0\\-1/2&0&1\end{array}\right][/tex]
What is spatial coordinates and plane coordinates?When compared to pixel coordinates, spatial coordinates provide for a finer level of image position specification. The pixel coordinate system, for example, treats a pixel as a discrete unit that is uniquely recognized by an integer row and column pair, such as (3,4). The pixel coordinates are the default way that spatial coordinates of a picture are related. In row 5, column 3, for instance, the center of the pixel has spatial coordinates of x = 3 and y = 5, for example. The coordinates are inverted, so keep that in mind.When you represent a three-dimensional object graphically in the plane con paper, the blackboard, or a computer screen), you have to transform spatial coordinates,
[tex]$\mathrm{x} 1$ & \\[/tex]
[tex]$\mathrm{x} 2$[/tex] & into plane coordinates
[tex]$\mathrm{x} 3$[/tex]& [tex]$\mathrm{y} 1$[/tex]& [tex]$\mid$ \\[/tex]
[tex]$\mathrm{x}$[/tex] &[tex]$\mathrm{y} 2$[/tex] &
The simplest choice is a linear transformation, for example, the one given by the
matrix [tex]\left[\begin{array}{ccc}-1/2&1&0\\-1/2&0&1\end{array}\right][/tex]
The complete question is,
When you represent a three-dimensional object graphically in the plane (on paper, the blackboard, or a computer screen), you have to transform spatial coordinates | x 1 | | x 2 | into plane coordinates | y 1 |. | x 3 | | y 2 | The simplest choice is a linear transformation, for example, the one given by the matrix | -1/2 1 0 0 | 1 |.
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The data represent the time, in minutes, spent reading a political blog in a day. Construct a frequency distribution using classes. In the table, include the midpoints, relative frequencies, and cumulative frequencies. Which class has the greatest frequency and which has the least frequency?
10. 9. 5. 19. 17
13. 2. 0. 4. 10
1. 16. 9. 7. 3
15. 17. 18. 16. 6
The class interval [15-19] has the greatest frequency, and the class interval [10-14] has the least frequency
How to determine the frequency distributionFrom the question, we have the following parameters that can be used in our computation:
10. 9. 5. 19. 17
13. 2. 0. 4. 10
1. 16. 9. 7. 3
15. 17. 18. 16. 6
Using a class of 5, we have the following class intervals
0 - 4, 5 - 9, 10 - 14 and 15 - 19
When the frequencies of each class are counted, we have the following table
Interval Midpoint Frequency R/F C/F
0 - 4 2 5 5/20 5
5 - 9 7 5 5/20 10
10 - 14 12 3 3/20 13
15 - 19 17 7 7/20 20
using the above as a guide, we have the following:
The class interval [15-19] has the greatest frequency 7
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Please answer it asap, it's missing
To find the value of f(g(-4)), we need to first substitute -4 into the definition of g(x) and then substitute the result into the definition of f(x).
First we substitute -4 into g(x):
g(-4) = 2(-4)^2 + 4(-4) - 8
g(-4) = 2(16) + (-16) - 8
g(-4) = 32 - 16 - 8
g(-4) = 8
Now we substitute 8 into f(x):
f(g(-4)) = f(8) = 2(8) - 4 = 16 - 4 = 12
So the value of f(g(-4)) is 12.
Answer:
28
Step-by-step explanation:
The expression: f(g(-4)) just means calculate the value of g at x = -4 and then calculate what f is equal to at that value g is equal to, so we have to first calculate g(-4) which we can do by substituting in -4 as x.
g(-4) = 2(-4)^2 + 4(-4) - 8
g(-4) = 2(16) - 8 - 8
g(-4) = 32 - 16
g(-4) = 16
Now from here we can substitute 16 as g(-4) in the expression f(g(-4)) which means we want to evaluate g(16) which we can do by substituting in 16 as x.
f(16) = 2(16) - 4
f(16) = 32 - 4
f(16) = 28
So that means f(g(-4)) = 28
