We can start by isolating the secant term and then taking the inverse cosine of both sides. Remember that the inverse cosine function only gives results on the interval [0,π], so we will need to adjust our solutions accordingly:
2sec(θ) + 3 = 0
2sec(θ) = -3
sec(θ) = -3/2
cos(θ) = -2/3
θ = ±cos⁻¹(-2/3)
Using a calculator, we find:
θ ≈ 2.302, 4.981 radians
What is the value of 0 in the equation?However, we need to adjust these solutions to be within the interval [0,2π). Since cos(x) = cos(2π - x), we can add 2π to the negative solution to get an equivalent positive solution:
θ ≈ 2.302, 7.438 radians
Rounding to the nearest thousandth, we get:
θ ≈ 2.302, 7.438 radians
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A Norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular window. Find the dimensions of a Norman window of maximum area when the total perimeter is 20 feet.
As a result, when the entire circumference is 20 feet, the Norman window's maximum area measurements are as follows: x = 8 feet, or around 2.546 feet, is the width, Height: 9.087 feet, or about y = 16 - 16/feet.
Define Perimeter.Perimeter is the total distance around the boundary of a two-dimensional shape, such as a polygon, a circle, or a rectangle. It is the sum of the lengths of all sides or edges of the shape.
Define Area.Area is a measure of the size or extent of a two-dimensional surface or region. It is the amount of space enclosed within a closed shape or boundary.
Let's assume that the width of the rectangular part of the window is x and the height is y.
The perimeter of the window is given by:
Perimeter = width + height + semicircle circumference
Perimeter = x + y + πx/2
We are given that the total perimeter is 20 feet, so we can write:
x + y + πx/2 = 20
We can solve for y in terms of x:
y = 20 - x - πx/2
The area of the window is given by:
Area = rectangular part area + semicircle area
Area = xy + πx^2/8
We can substitute the expression we obtained for y into the equation for the area:
Area = x(20 - x - πx/2) + πx^2/8
Simplifying this expression, we get:
Area = 20x - (π/2)x^2 + πx^2/8
Area = 20x - (π/2)x^2/4
To find the maximum area, we can take the derivative of the area function with respect to x and set it equal to zero:
d/dx (Area) = 20 - (π/2)x/2 = 0
Solving for x, we get:
x = 8/π
Substituting this value back into the expression for y that we obtained earlier, we get:
y = 20 - 8/π - π(8/π)/2 = 20 - 4π/π - 16/π = 20 - 4 - 16/π = 16 - 16/π
Therefore, the dimensions of the Norman window of maximum area when the total perimeter is 20 feet are:
Width: x = 8/π feet (approximately 2.546 feet)
Height: y = 16 - 16/π feet (approximately 9.087 feet)
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The dimensions of the Norman window of maximum area when the total perimeter is 20 feet are:
Width: x = 8/π feet (approximately 2.546 feet)
Height: y = 16 - 16/π feet (approximately 9.087 feet)
Define Perimeter.Perimeter is the total distance around the boundary of a two-dimensional shape, such as a polygon, a circle, or a rectangle. It is the sum of the lengths of all sides or edges of the shape.
Define Area.Area is a measure of the size or extent of a two-dimensional surface or region. It is the amount of space enclosed within a closed shape or boundary.
Let's assume that the width of the rectangular part of the window is x and the height is y.
The perimeter of the window is given by:
Perimeter = width + height + semicircle circumference
Perimeter = x + y + πx/2
We are given that the total perimeter is 20 feet, so we can write:
x + y + πx/2 = 20
We can solve for y in terms of x:
y = 20 - x - πx/2
The area of the window is given by:
Area = rectangular part area + semicircle area
[tex]Area = xy + \pi x^{2/8[/tex]
We can substitute the expression we obtained for y into the equation for the area:
[tex]Area = x(20 - x - \pi x/2) + \pi x^{2/8[/tex]
Simplifying this expression, we get:
[tex]Area = 20x - (\pi /2)x^2 + \pi x^{2/8[/tex]
[tex]Area = 20x - (\pi /2)x^{2/4[/tex]
To find the maximum area, we can take the derivative of the area function with respect to x and set it equal to zero:
d/dx (Area) = 20 - (π/2)x/2 = 0
Solving for x, we get:
x = 8/π
Substituting this value back into the expression for y that we obtained earlier, we get:
y = 20 - 8/π - π(8/π)/2 = 20 - 4π/π - 16/π = 20 - 4 - 16/π = 16 - 16/π
Therefore, the dimensions of the Norman window of maximum area when the total perimeter is 20 feet are:
Width: x = 8/π feet (approximately 2.546 feet)
Height: y = 16 - 16/π feet (approximately 9.087 feet)
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The coordinates of the three vertices of a square are (4,14) (10,14) and (4,8). What are the coordinates of the missing vertex
Given that the coordinates of the three vertices of a square are (4, 14), (10, 14), and (4,8).
The missing coordinate will be at (10,8) on the coordinate plane for the given square.
VERTEX: WHAT IS IT?A vertex is a location in geometry where two or more line segments converge. Vertices are the corners of two-dimensional forms such as squares and triangles. Vertices are the places where three or more faces of a three-dimensional shape, such as a cube or a pyramid, meet.
Four of a square's vertices have the coordinates (4,14), (10,14), and (4,8).
The length of one of the square's sides may be determined using the distance formula, and the length can then be used to determine the coordinates of the missing vertex.
We know that one side of the square has a length of 6 units since the distance between (4,14) and (10,14) is 6 units.
We know that the missing vertex must be 6 units away from (4,8) in the y-direction since the square is symmetric.
The missing vertex therefore has the coordinates (10,8).
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The missing coordinate will be at (10,8) on the coordinate plane for the given square.
VERTEX: WHAT IS IT?A vertex is a location in geometry where two or more line segments converge. Vertices are the corners of two-dimensional forms such as squares and triangles. Vertices are the places where three or more faces of a three-dimensional shape, such as a cube or a pyramid, meet.
Four of a square's vertices have the coordinates (4,14), (10,14), and (4,8).
The length of one of the square's sides may be determined using the distance formula, and the length can then be used to determine the coordinates of the missing vertex.
We know that one side of the square has a length of 6 units since the distance between (4,14) and (10,14) is 6 units.
We know that the missing vertex must be 6 units away from (4,8) in the y-direction since the square is symmetric.
The missing vertex therefore has the coordinates (10,8).
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Find the missing side
Please help
Answer:
The answer is D. 4(sqrt(5))
Step-by-step explanation:
To find this we use the Pythagorean Theorem a^2+b^=c^2
So making 4 = to a, and 8 = to, and x = to, we do
4^2+8^2= 80
Then we take the square root of 80 to find the missing side, which is equal to 4(sqrt(5)
Good luck!
15 POINTS MARKING BRAINLIST PLEASE HELP
The length of "ab" is approximately 6 cm (to the nearest hundred)
What do you mean by Right angle triangle and its properties ?If two lines intersect at an angle of 90˚ or are perpendicular to each other, they form a right angle. A right angle is indicated by the symbol ∟Angle is always 90° or a right angle. The opposite angle of 90° is the hypotenuse. The hypotenuse is always the longest side. The sum of the remaining two interior angles is 90°. In a right-angled triangle, the side opposite the 90-degree angle is called the hypotenuse, indicated by the letter "c". The sides adjacent to a 37 degree angle and a right angle are called "ab" and "bc" respectively.
Using trigonometry, we find the length of "ab" as follows:
sin(37) = opposite/hypotenuse = ab/c
ab = sin(37) * c
Substituting the given values we get:
ab = sin(37) × 10 cm
= 3/5 × 10 cm
ab = 6.07 cm
Rounding to the nearest hundred, we get:
ab ≈ 6 cm (nearest hundred)
Therefore, the length of "ab" is approximately 6 cm (to the nearest hundred)
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The total cost of 10 sharpeners and 2 books is $26.10. if the cost of a sharpener is $a, and a book is $1.95 more expensive, find a.
Give your answer to two decimal places.
Therefore, a sharpening costs Dollar 1.85.
what is dollarThe US, Canada, Australia, and some nations in the Pacific, Caribbean, Southeast Asia, Africa, and South America all use the dollar as their primary unit of exchange. The word "$" is used to denote it.
Let's use $a for the sharpener's price. We can state that the price of a book is $a + 1.95 because it costs $1.95 more than a sharpening.
We are aware of the $26.10 total cost of 10 sharpeners and 2 books. This can be expressed as an equation:
10a + 2(a + 1.95) = 26.10
If we simplify this equation, we get:
12a + 3.90 = 26.10
3.90 less from each side results in:
12a = 22.20
By multiplying both sides by 12, you get:
a = 1.85
Therefore, a sharpening costs $1.85.
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The distance between Point A and Point B along a jogging track is 24 Km. Gerald
starts from Point A and jogs at a speed of 6 Km/h. Shaun starts from Point B 30 min
after Gerald but reaches Point A 30 min earlier. What is Shaun's average speed?
Answer: Let's start by finding out the time it takes for Gerald to jog from Point A to Point B. We can use the formula:
distance = rate x time
to do this. Since the distance between Point A and Point B is 24 km and Gerald's speed is 6 km/h, we have:
24 = 6t
where "t" is the time it takes for Gerald to jog from Point A to Point B. Solving for "t", we get:
t = 4
So Gerald takes 4 hours to jog from Point A to Point B.
Now, let's look at Shaun's journey. We know that he starts 30 minutes after Gerald and reaches Point A 30 minutes earlier than Gerald. This means that the time it takes for Shaun to travel from Point B to Point A is 3.5 hours (i.e., 4 hours - 0.5 hours + 0.5 hours).
Using the formula distance = rate x time again, we can find out Shaun's average speed:
24 = rate x 3.5
simplifying, we get:
rate = 6.857 km/h
So Shaun's average speed is 6.857 km/h (or approximately 6.86 km/h rounded to two decimal places).
Answer:
8 km/h
Step-by-step explanation:
You want to know Shaun's average speed on a 24 km jogging track if Gerald jogged at 6 km/h for the distance, while Shaun left half and hour later and arrived half an hour earlier than Gerald.
Gerald's timeThe time it took Gerald to complete the distance is found from ...
time = distance/speed
time = (24 km)/(6 km/h) = (24/6) h = 4 h
Shaun's timeShaun left half an hour later than Gerald, and completed the trip half an hour before Gerald did. Shaun's time was 1 hour less than Gerald's, so was ...
4 h -1 h = 3 h
Shaun's speedShaun's average speed can be found from ...
speed = distance/time
speed = (24 km)/(3 h) = 8 km/h
Shaun's average speed was 8 km/h.
need help with this rational functions homework question
The sketch of the graph of y = 1/f(x) is added as an attachment
Sketching the graph of y = 1/f(x)To find the function equation, we need to determine the factors of the equation based on the zeros of the function.
Since the zeros of the function are at x = -5, -1, and 4, the factors of the equation will be:
(x + 5), (x + 1), and (x - 4)
Multiplying these factors together gives us:
f(x) = a(x + 5)(x + 1)(x - 4)
To find the value of the constant term a, we can use the fact that the graph passes through the point (0, -4):
-4 = a(0 + 5)(0 + 1)(0 - 4)
-4 = -20a
So, we have
a = 1/5
Therefore, the function equation is:
f(x) = 1/5(x + 5)(x + 1)(x - 4)
For the graph of y = 1/f(x), we have
y = 5/[(x + 5)(x + 1)(x - 4)]
See attachment for the graph
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Question 3: 13 of the 20 students in Mr Davidson's class are girls. Two students are chosen at random. 2nd student (a) Copy and complete the tree diagram (b) Work out the probability of two boys being selected. (c) Work out the probability of two girls being selected. CORBETTMATHS 2018 1st student boy girl boy girl boy girl outcome BB BG GB GG probability
Answer:
answer int he photos
Step-by-step explanation:
Answer:
This is a product rule and probablity question. b) 49/400
c) 169/400
Step-by-step explanation:
Anthony has decided to purchase a $19,000 car. He plans to put 20% down toward the purchase and to finance the rest at a 6.8% interest rate for 4 years. Find his monthly payment.
Find the total price Anthony paid for his vehicle.
The monthly payment and total price paid by Antony at interest rate of 6.8% for vehicle is $362.59 and $21204.4 respectively.
Cost price of the car Antony decided to purchase = $19,000
Down payment = 20% of purchase value
Interest rate of amount to be finance = 6.8%
Time period of finance amount = 4 years
Down payment = 0.2 × $19,000
= $3,800
Amount that Anthony needs to finance,
Amount to finance = $19,000 - $3,800
= $15,200
The monthly payment , use the formula for the monthly payment on a loan,
M = P × r × (1 + r)ⁿ / ((1 + r)ⁿ - 1)
where M is the monthly payment,
P is the principal the amount to finance
r is the monthly interest rate
n is the total number of payments which is the number of years multiplied by 12
The monthly interest rate is 6.8% / 12 = 0.00567,
and the total number of payments is 4 × 12 = 48.
Substituting these values into the formula, we get,
⇒M = $15,200 × 0.00567 × (1 + 0.00567)⁴⁸ / ((1 + 0.00567)⁴⁸ - 1)
⇒M = $15,200 × 0.00567 × 1.3118 / (1.3118 -1)
⇒M = $15,200 × 0.00567 × 1.3118 / 0.3118
⇒M = 113.056 / 0.3118
⇒M ≈ $362.59
Anthony's monthly payment will be about $362.59
Total price that Anthony paid for his vehicle,
add up the down payment and the total amount of payments over the 4-year period.
Total price = $3,800 + ( $362.59 × 48)
= $21204.4
Therefore, the monthly payment and the total price at interest rate of 6.8% that Anthony paid for vehicle is $362.59 and $21204.4 respectively.
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HELP PLEASE!!
refer to picture!!
The null and alternative hypotheses that apply are as follows:
H0: p ≤ 0.54, which claims that the proportion of pupils finishing class with a grade of A, B, or C in this experimental curriculum is no greater than 54%.
H₁: p > 0.54, according to the alternative hypothesis, asserts that the rate of students concluding the course with an A, B, or C grade in its experimental form must be above 54%.
How to explain the hypothesisThe letter "p" represents the proportion of student grades in the experimental program who reach either A, B, or C levels.
The null hypothesis is that the proportion of pupils finishing class with a grade of A, B, or C in this experimental curriculum is no greater than 54%.
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A particular sawdust pile has a base diameter of 35 feet when the height is 30 feet. Find the volume of this sawdust pile when it is 40 feet high.
If the base diameter of the sawdust pile is 35 feet when the height is 30 feet, then when it is 40 feet high, the diameter will be 46.7 feet, while the volume will be 68,545.37 feet³.
What is the volumeThe volume refers to the capacity of a three-dimensional object.
The formula for volume with diameter and height is V = πd²h/4.
Base diameter of the sawdust pile = 35 feet
Height = 30 feet
Base diameter of the sawdust pile when the height is 40 feet = 46.7 feet
(35/30 x 40)
Given height = 40 feet
Computed base diameter = 46.7 feet
Volume = πd²h/4
= 22/7 x 46.7² x 40/4
= 3.143 x 2,180.89 x 10
= 68,545.37 feet³
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100 Points! Algebra question, photo attached. Please show as much work as possible. Thank you!
Answer: The height of the cone is [tex]12 \text{ units}.[/tex]
Step-by-step explanation:
We are given that [tex]L = \pi r \sqrt{r^2+h^2}.[/tex] Plugging in the given values of [tex]L[/tex] and [tex]r[/tex] yields:
[tex]65 \pi = 5 \pi \sqrt{25+h^2} \implies 13 = \sqrt{25+h^2}.[/tex]
Now, squaring each side of the equation, and then isolating [tex]h^2[/tex] gives us [tex]h^2=144[/tex], so [tex]\boxed{h=12}.[/tex] Note that [tex]h[/tex] cannot take any negative values because it is a side length.
writ the rate in lowest terms can a printer print 5 pages in 10 seconds
Answer:
1/2 page per second
Step-by-step explanation:
5/10 ÷ 10/10 = .5/1 = .5 or 1/2 page per second.
Helping in the name of Jesus.
The circular bases of the traditional teepees of the Sioux and Cheyenne tribes have a diameter of about 15 ft. What is the area of the base? Round to the nearest square unit.
A. 707ft2
B. 47ft2
C. 24ft2
D.177ft2
Answer:
D. 177 ft²
Step-by-step explanation:
the area of a circle is
pi×r²
r is the radius which is half of the diameter, of course.
so, in our case
area = pi×(15/2)² = pi×7.5² = pi×56.25 =
= 176.7145868... ft² ≈ 177 ft²
A popular beach currently has 88 visitors, and 28 of them are sunbathing. What is the probability that a randomly chosen beachgoer is sunbathing? Write your answer as a fraction or whole number.
The probability that the randomly selected person is taking a sunbath is 7/22.
Science uses a figure called the probability of occurrence to quantify how likely an event is to occur.
It is written as a number between 0 and 1, or between 0% and 100% when represented as a percentage.
The possibility of an event occurring increases as it gets higher.
So, the probability formula is:
P(E) = Favourable events/Total events
Now, insert values in the formula as follows:
P(E) = Favourable events/Total events
P(E) = 28/88
P(E) = 14/44
P(E) = 7/22
Therefore, the probability that the randomly selected person is taking a sunbath is 7/22.
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The polynomial function f has exactly one positive zero. Approximate the zero correct to two decimal places.
f(x) = 2x² - 1
-16x³-3x²-8x-2
The positive zero of f is approximately
(Round to two decimal places as needed.)
Please help I’ll upvote your work
The solution set of f(x) > 0 is x ∈ (-2, 8).
What is the set of the function?
To find the solution set of f(x) > 0, we need to first determine the critical values of x where f(x) changes sign.
Let's start by finding the domain of the function:
x² - 6x - 16 ≠ 0
We can solve for x by using the quadratic formula:
x = [6 ± √(6² + 4(16))]/2 = [6 ± √52]/2 = 3 ± √13
So the domain of f(x) is (-∞, 3 - √13) U (3 + √13, ∞).
Now let's factor the numerator and denominator of f(x):
f(x) = (x + 10)/[(x - 8)(x + 2)]
The critical points occur where the numerator or denominator of f(x) changes sign.
The numerator changes sign at x = -10, and the denominator changes sign at x = -2 and x = 8.
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PLS HELP!!
Which expressions are equivalent to log4 (1/4x^2)?
Answer:log₄ 1 /4 + log₄ x²
Step-by-step explanation:
Can someone help me?
The surface area of the triangular prism is 235 cm²
How to solve an equation?An equation is an expression that uses mathematical operations to show how numbers and variables are related to each other.
The surface area of a triangular prism is gotten by adding the individual area of each surface.
For the triangular prism shown:
Surface area = 2(1/2 * 10 cm * 12 cm) + (10 cm * 5 cm) + 2(13 cm * 5 cm) = 235 cm²
The surface area is 235 cm²
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PLEASE HELP! An ethanol railroad tariff is a fee charged for shipments of ethanol on public railroads. An agricultural association publishes tariff rates for railroad-car shipments of ethanol. Assuming that the standard deviation of such tariff rates is $1200, determine the probability that the mean tariff rate of 400 randomly selected railroad-car shipments of ethanol will be within $80 of the mean tariff rate of all railroad-car shipments of ethanol. Interpret your answer in terms of sampling error. The probability is what?
(Round to three decimal places as needed.) Thanks!
The likelihood that the average tariff rate of 400 shipments of ethanol picked at random will be inside $80 of the average tariff rate of all shipments is roughly 0.789, or 78.9%.
What is probability?The probability that an event will occur or that a proposition is true is quantified by probability theory, a branch of mathematics. A number from zero to one, where 0 approximately indicates how likely the event will happen and 1 generally indicates certainty, is the probability given an occurrence. In mathematics, probability is a measure of how likely an event is to take place. Probability levels can also be expressed as percent between 0 and 100 percent in addition to the numerals 0 to 1. the percentage of all outcomes out of all equally likely alternatives that lead to a specific occurrence, represented as a ratio.
given,
To solve this problem, we need to use the central limit theorem, which states that the distribution of sample means is approximately normal, with mean equal to the population mean and a standard deviation determined by dividing the population's standard deviation by the sample size square root.
We are given that the standard deviation of the population of tariff rates is $1200. Let mu be the population mean tariff rate, and x-bar be the sample mean tariff rate. We want to find the probability that the sample mean is within $80 of the population mean, i.e., |x-bar - mu| <= $80.
Using the formula for the standard error of the mean, we have:
SE = sigma/sqrt(n) = $1200/sqrt(400) = $60
Now, we can standardize the variable z = (x-bar - mu)/SE, and find the probability of |z| <= 80/60 = 4/3 using a standard normal distribution table or calculator.
P(|z| <= 4/3) = 0.7887
Therefore, the probability that the mean tariff rate of 400 randomly selected railroad-car shipments of ethanol will be within $80 of the mean tariff rate of all railroad-car shipments of ethanol is approximately 0.789 or 78.9% (rounded to three decimal places).
Interpretation: Sampling error refers to the natural variation in sample statistics (such as the sample mean) that occurs due to chance, even when the sample is randomly selected and representative of the population. In this case, the probability of the sample mean tariff rate being within $80 of the population mean is high (78.9%), which suggests that the amount of sampling error in estimating the population mean using a sample of 400 observations is relatively small.
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Chairs need to be set up for the audience members. You want to use. the fewest number of chairs and still meet these three additional condions.
• There are 23 rows of chairs.
• There are the same number of chairs in esch row.
• There are an even number of chairs in cads rom.
Based on the number of students expected to attend, design a plan to set up the chairs. State how many total chairs there are, and explain why your plan meets these conditions.
There must be 46 chairs in each row and total number of chairs are 1058
To meet the given conditions, we need to find a number that has the following properties:
It should be divisible by 2, as there are an even number of chairs in each row.
It should be divisible by 23, as there are 23 rows of chairs.
It should be the same number in each row.
The smallest number that satisfies these conditions is 46, which is the least common multiple of 2 and 23.
So, we need to set up 46 chairs in each row.
The total number of chairs required will be:
Total number of chairs = 23 rows x 46 chairs per row = 1058 chairs
Hence, the total number of chairs are 1058
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Translate this sentence into an equation.
Answer:
24 + c = 40
C= Chau’s height
What is the y-intercept for this line?
Y = 2/3 x + 3
A. 2
B. 2/3
C. 3
Answer:
y intercept when x is 0, so the answer is 3
The graphs below have the same shape. What is the equation of the blue graph?
Answer:
G(x) = (x - 2)^2 + 1, so A is correct.
homework i need help tho fr appreciate it!
1. Axis of symmetry : x= -5 2. Axis of symmetry : x =2
Vertex: (-5, 1) Vertex: (2, 8)
Domain: (-∞, ∞) Domain (-∞, ∞)
Ranges: [1, ∞) Ranges (-∞, 8]
3. Axis of symmetry : x = 1 4. Axis of symmetry x = -4
Vertex (1, -1) Vertex = (-4 0)
Domain (-∞, ∞) Domain (-∞, ∞)
Ranges [-1, +∞) Ranges (-∞, 0]
For 4. y = -x² - 8x -16
Axis of symmetry
x = -b / (2a)
x = -(-8) / (2 × -1) = 8 / (-2) = -4
Vertex
y = -(-4)² - 8(-4) - 16
= -16 + 32 - 16
= 0 therefore Vertex is (-4, 0)
Therefore range function (-∞, ∞)
The above answers are for the questions below as seen in the picture
1) y = x² + 10x + 26 2. y = -2x² + 8x 3. y = x² - 2x
Axis of symmetry :
Vertex
Domain
Ranges
4. y = -x² - 8x -16
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On January 1, 2024, Wright transportation sold four school buses to the Elmira School District. In exchange for the buses, Wright received a note requiring payment of $521,000 by Elmira on December 31,2026. The effective interest rate is 7%.
1. How much sales revenue would Wright recognize on January 1, 2024 for this transaction?
2. Prepare journal entries to record the sale of merchandise on January 1, 2024. (Omit any entry that might be required for the cost of the goods sold), the December 31,2024, interest accrual, the December 31,2025, interest accrual, and receipt of payment of the note on December 31,2026.
Using the given data we know that the sales revenue that Wright recognize on January 1, 2020, is $456108.
What is sales revenue?Net sales, as used in bookkeeping, accounting, and financial accounting, refer to operating revenues received by a business from the sale of its goods or provision of its services.
They are directly recorded as Sales or Net sales on the income statement and are also referred to as revenue.
The net sales formula is rather simple in profit and sales transactions: net sales = gross sales - (return values + discount losses + sales taxes + allowances).
So, the sales revenue in the given situation would be:
According to the provided data, the sales revenue will be determined as follows:
= Value of note × PVF of receivable
= $528000 × 0.8638
= $456108
Therefore, using the given data we know that the sales revenue that Wright recognize on January 1, 2020, is $456108.
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Correct question:
On January 1, 2021, Wright Transport sold four school buses to the Elmira School District. In exchange for the buses, Wright received a note requiring payment of $534,000 from Elmira on December 31, 2023. The effective interest rate is 6%. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.). How many sales revenue would Wright recognize on January 1, 2020, for this transaction?
Which of the following gives the circumference, C, of a circle with a radius of 4?
OC 4T
OC=4T²
OC=8T
O C=16T
The circumference of a circle with a radius of 4 is 8π.
What is the circumference of a circle with a radius of 4?A circle is simply a closed 2-dimensional curved shape with no corners or edges.
The circumference of a circle is the distance around a circle or the length of a circle. It is expressed mathematically as;
C = 2πr
Where r is radius and π is constant pi.
Given that the radius of the circle is 4 units.
Plug into the above formula.
C = 2πr
C = 2 × π × 4
C = 8π
Therefore, the circumference is 8π.
Option C) 8π is the correct answer.
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The central angle of a circle measures 97 degrees and intercepts a minor arc. What is the measure of its major arc?
Answer:
D. 263 degrees
Step-by-step explanation:
We know that central angles are congruent to the arcs they encompass or intercept. So, if the minor arc is 97 degrees, and the total measure of a circle's arcs are 360 degrees, then the major arc is 263 degrees.
Therefore, the answer is D.
1.montrer que résoudre ce problème revient a résoudre l'inéquation 20x-x²>0
Answer:
sorry I just wanted points
(07.03 MC)
Given the function h(x)=-2√x +3-1, which statement is true about h(x)?
Given the function h(x) = -2√(x + 3) - 1, the statement that is true about h(x) include the following: B. the function is decreasing on the interval (-3, ∞).
What is a decreasing function?For any given function, y = f(x), if the output value (range or y-value) is decreasing when the input value (domain or x-value) is increased, then, the function is generally referred to as a decreasing function.
For any given function, y = f(x), if the output value (range) is increasing when the input value (domain) is increased, then, the function is generally referred to as an increasing function.
By critically observing the graph of the given function, we can reasonably infer and logically deduce that it is decreasing over the interval (-3, ∞).
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