For the given vectors the sum of u is (-44/10,-6/10).
Vectors are mathematical objects that have both magnitude and direction.
The projection of u onto v is equal to the dot product of u and the unit vector of v divided by the magnitude of v.
The unit vector of v can be found by dividing v by its magnitude. Once we have the unit vector, we can multiply it by the dot product and add it to the initial point of v to find p.
Since u = (-4,-1) and v = (1,3), the magnitude of v is √(1^2 + 3^2) = √10 and the unit vector of v is (1/√10, 3/√10).
The dot product of u and the unit vector of v is
=> (-4)(1/√10) + (-1)(3/√10)
=> -4/√10 - 3/√10.
Thus,
=> p = (-4/√10 - 3/√10)(1/√10, 3/√10) + (1,3)
=> p = (-4/10 - 3/10, -1/10 + 3/10) + (1,3)
=> p = (7/10 + 3/10, 2/10 + 3/10) = (10/10, 5/10).
To find n vector, we subtract p from u.
Finally,
=> n = u - p = (-4,-1) - (10/10, 5/10)
=> (-4 - 10/10, -1 - 5/10) = (-44/10,-6/10).
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A typing examination found that susan's typing accuracy was 93%. Which decimal number represents susan's typing accuracy?.
Representing fractional values, if a typing examination found that Susan's typing accuracy was 93%, the decimal number representing Susan's typing accuracy is 0.93.
How the decimal number is determined?The decimal number of Susan's typing accuracy is a direct conversion from percentage to decimal since both are fractional values.
We know that the percentage sign represents over 100. When 93 is divided by 100, the decimal value is 0.93.
93% = 93/100 = 0.93
Thus, as a fractional value, Susan's typing accuracy of 93% is the same as 0.93.
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Solve the initial value problem t^2dy/dt - t = 1 + y + ty, y(1)=2
y =
For given expression, solution will be y=(t-1)/(1+t).
What are expressions?
Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division. For example, x + y is an expression, where x and y are terms having an addition operator in between. In math, there are two types of expressions, numerical expressions - that contain only numbers; and algebraic expressions- that contain both numbers and variables.
e.g. A number is 6 more than half the other number, and the other number is x. This statement is written as x/2 + 6 in a mathematical expression. Mathematical expressions are used to solve complicated puzzles.
Now,
Given expression is t^2dy/dt-t=1+y+ty
After differentiation : As (d/dx) (x^n ) = nx^{n-1}
2t-t=1+y+ty
t-1=y(1+t)
y=(t-1)/(1+t)
for y(1)=2
2+2t=1-t
3t=-1
t=-1/3
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Find the weighted average of the numbers 1 and 5 with one fourth of the weight on the first number and three fourths on the second number.
The Correct answer for the weighted average of given numbers is 4.
What is Weighted average?
Weighted average is one of the most commonly employed measures in statistical data to find the average of quantities when each quantity has a certain weight.
Formula for weighted average:
x= Σ(Weights × Quantity)/Σ(Weights)
In the given question,
first number is 1, Weight of the one of the number given is [tex]\dfrac{1}{4}[/tex](one fourth of first number (1)), The weight of three fourth of the second number is [tex]\dfrac{3}{4}*5[/tex], second number is 5.
Weighted average,
[tex]\dfrac{(\dfrac{1}{4}*1 + \dfrac{3}{4}*5)}{\dfrac{1}{4}+\dfrac{3}{4}}[/tex]
[tex]= \dfrac{16}{4}\\\\=4[/tex]
The weighted average of the numbers 1 and 5 with given condition is 4.
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two step equations -16 - 5x = -16
Answer:
-16 - 5x = -16
-5X=-16+16
-5X=0
X=5
Step-by-step explanation:
a cord is a volume of cut wood equal to a stack 8 ft long, 4 ft wide, and 4 ft high. how many cords are in 1.0 m 3 ?
The number of cords in 1 m^3 are four.
Here , volume of a cuboid is involved. If l, b, h are respectively the length, breadth and the height of the cuboid , then its volume is given by
V = l x b x h cubic units.
Now, here we know that 1 m =3.28 ft.
So, 1 m^3 = (3.28)^3 cubic feet. = 35.288 cubic feet.
So, we have to find the number of cords in 35.288 cubic feet.
Now, volume of a single cord = l x b x h = 8 x 4 x 4 = 128 cubic feet.
So, no. of cord = 128/35.288 = 3.66.
Since, the number of cords is always a whole number , so 3.66 can treated as 4 by rounding it off to unit's place.
Hence, The number of cords in 1 m^3 are four.
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The number of cords in 1 m^3 is four.
Here, the volume of a cuboid is involved. If l, b, h are respectively the length, breadth and height of the cuboid, then its volume is given by
V = l x b x h cubic units.
Now, here we know that 1 m =3.28 ft.
So, 1 m^3 = (3.28)^3 cubic feet. = 35.288 cubic feet.
So, we have to find the number of cords in 35.288 cubic feet.
Now, the volume of a single cord = l x b x h = 8 x 4 x 4 = 128 cubic feet.
So, no. of cord = 128/35.288 = 3.66.
Since the number of cords is always a whole number, 3.66 can be treated as 4 by rounding it off to the unit's place.
Hence, The number of cords in 1 m^3 is four.
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the mean composite score for seniors who took the sat in 2018 was 1068. if the standard deviation for this same year was 180, what is the raw score for a person with a z score of –0.42?
A person with a Z-score of -0.42 would have a raw score of 992.4 on the SAT taken in 2018.
The standard deviation is a measure of how much the data varies from the mean. A Z-score is a standardized value that represents the number of standard deviations a raw score is from the mean.
To find the raw score given a Z-score, we can use the following formula:
raw score = mean + Z-score * standard deviation
For the mean composite score of 1068 and a standard deviation of 180, we can plug in the values for the Z-score of -0.42:
raw score = 1068 + (-0.42) * 180
raw score = 1068 - 75.6
raw score = 992.4
Note: The Z-score of -0.42 indicates that the raw score is 0.42 standard deviations below the mean.
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What is the volume of the sphere? Use 3.14 for π and round to the nearest whole number. Enter your answer in the box.
The volume of the sphere with radius 5 is 523 units³.
What is Sphere?A sphere is a three dimensional figure which consists of set of all the points which are at an equal distance from a point called the center of the sphere.
Volume of a three dimensional shape is the space occupied by the shape.
Volume of a sphere can be found using the formula,
Volume = [tex]\frac{4}{3}[/tex] π r³, where r is the radius of the circle.
Given the radius of the circle = 5.
And π = 3.14
Substituting the values,
Volume = [tex]\frac{4}{3}[/tex] × 3.14 × (5)³
= 523.33 ≈ 523 units³
Hence the volume of the given sphere is 523 units³.
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Mary is looking to lease a car. Gerald's Auto has a car available with a money factor of 0.00355. Hillspring's Auto has the exact same car available with a money factor of 0.00324. Which of the following statements is true? a. The lower money factor with Gerald's Auto will give Jennifer the lowest monthly payment. b. The lower money factor with Hillspring's Auto will give Jennifer the lowest monthly payment. c. The higher money factor with Gerald's Auto will give Jennifer the lowest monthly payment. d. The higher money factor with Hillspring's Auto will give Jennifer the lowest monthly payment.
The statement that is true in this situation is "the lower money factor with Hillspring's Auto will give Jennifer the lowest monthly payment" (option B).
What is the money factor?This is a term used when you lease a car or a similar product. This term is a synonym for the "lease fee", which means it is a percentage of money that you need to pay for the lease.
What money factor is the most convenient?Based on the previous ideas a lower money factor is better because this means the payment will be lowered and this is offered by Hillspring's Auto (option B).
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A scatter plot is shown on the coordinate plane.
scatter plot with points plotted at 1 comma 9, 3 comma 7, 4 comma 5, 4 comma 6, 5 comma 3, 6 comma 4, 7 comma 4, 8 comma 4, 9 comma 2, and 10 comma 1
Which of the following graphs shows a line on the scatter plot that fits the data?
scatter plot with points plotted at 1 comma 9, 3 comma 7, 4 comma 5, 4 comma 6, 5 comma 3, 6 comma 4, 7 comma 4, 8 comma 4, 9 comma 2, and 10 comma 1, with a line drawn through 7 comma 4 and 9 comma 2
scatter plot with points plotted at 1 comma 9, 3 comma 7, 4 comma 5, 4 comma 6, 5 comma 3, 6 comma 4, 7 comma 4, 8 comma 4, 9 comma 2, and 10 comma 1, with a line drawn through 4 comma 6 and 9 comma 2
scatter plot with points plotted at 1 comma 9, 3 comma 7, 4 comma 5, 4 comma 6, 5 comma 3, 6 comma 4, 7 comma 4, 8 comma 4, 9 comma 2, and 10 comma 1, with a line drawn through 4 comma 5 and 8 comma 1
scatter plot with points plotted at 1 comma 9, 3 comma 7, 4 comma 5, 4 comma 6, 5 comma 3, 6 comma 4, 7 comma 4, 8 comma 4, 9 comma 2, and 10 comma 1, with a line drawn through 6 comma 4 and 7 comma 4
The correct graph that shows a line on the scatter plot that fits the data is the one with a line drawn through the points (1,7 and 2,6).
What is Graph?In mathematics, a graph is a visual representation of a set of objects, called vertices or nodes, that are connected by lines or arcs, called edges or links. Graphs are commonly used to represent and analyze relationships between different entities, such as people, places, or things.
here, we have,
The vertices in a graph can represent anything, such as cities on a map, people in a social network, or molecules in a chemical reaction. The edges between vertices represent the connections or relationships between them. For example, in a social network graph, the edges might represent friendships between people, while in a transportation network, the edges might represent roads or train tracks connecting different cities.
Graphs are used in many areas of mathematics and science, including computer science, physics, biology, and social science. They are a powerful tool for analyzing and visualizing complex systems and relationships, and have many practical applications, such as in route planning, network analysis, and social network analysis.
The correct graph that shows a line on the scatter plot that fits the data is the one with a line drawn through the points (1,7 and 2,6).
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If a polynomial equation P(x)= 0 has 3+4i as a solution, what other solution must it have?
Answer: 3 - 4i
Step-by-step explanation:
For the given polynomial p(x) , if 3 +4i is a root then, 3 - 4i is also the root of p(x).
Consider the given polynomial equation p(x) = 0 It is given that the polynomial P(x) has one root 3 + 4i .
According to complex conjugate theorem, if V is a polynomial and x + iy is a root of given polynomial then its conjugate x - iy is also the root of the polynomial.
Thus, for the given polynomial p(x) if 3 +4i is a root then, 3 - 4i is also the root of p(x).
If a polynomial equation P(x) = 0 has (3 + 4i) as a solution, the other solution it must have (3 - 4i).
What is a polynomial?
Polynomial is formed composed of the phrases Nominal, which means "terms," and Poly, which means "many." An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial.
Conjugate complex numbers are those that only differ in the imaginary part's sign.
a + bi and a - bi, where a and b are real numbers, are generally conjugate, as are, for instance, 2 + 3i and 2 - 3i, -5 - 7i and -5 + 7i, and so on.
Due to the fact that their output is always a genuine number.
The general case is -
= (a + bi)(a - bi)
= a² - abi + abi - (b²)(i²)
= a² + b²
The real example is -
= (2 + 3i)(2 - 3i)
= 2² + 3²
= 4 + 9
= 13
Complex roots for a polynomial equation P(x) = 0 with real coefficients are always represented as conjugate pairs.
So, the following equation must contain (3 - 4i) as a second root if the coefficients are real.
Therefore, P(x) has second root (3 - 4i).
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If a taco contains any three distinct items. There are 4 meat items and 8 non-meat items.
1. If a three distinct item taco is made at random, what is the probability that the taco contains only non-meat items? Please show steps, thank you!
The probability of a taco containing only non-meat items is 56/220 = 1/4.
To find the probability of a taco containing only non-meat items, we need to find the number of possible combinations of 3 non-meat items out of the 8 non-meat items available and divide that by the total number of possible combinations of 3 items (either meat or non-meat) out of the 12 total items available.
The number of combinations of 3 non-meat items out of the 8 available is: C(8, 3) = 56
The number of combinations of 3 items out of the 12 total items available is: C(12, 3) = 220
The probability of a taco containing only non-meat items is 56/220 = 1/4.
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Madelyn has a home-based business making and selling scented soaps. She initially spent $50 to purchase soap-making equipment, and the materials for each kilogram of soap cost $6. Madelyn sells the soap for $8 per kilogram. Eventually, she will sell enough soap to cover the cost of the equipment. Write a system of equations.
Answer:
25
Step-by-step explanation:
$50
Cost=$6
Selling price=$8
Profit=$8-$6=$2
50/2=25
pls answer will buy you a reward or brainly premium after answer
The height of the tree is obtained as 27.7 m
What is the height of the light pole?We have to note that in the solution of the problem that the tangent of the angle is going to come in to play. The tangent if one of the trigonometric ratios and the other ratios are the cos and the sine.
We know that the tangent of the angle is;
tan 36 = opposite/adjacent
Opposite of the angle = x + 5
(Where x is the height of the tree)
Adjacent of the angle = 45 m
We would then have that;
tan 36 = x + 5/45
45 tan 36 = x + 5
x = (45 tan 36) - 5
x = 27.7 m
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The polygons are similar. The area of one polygon is given find the area of the other. V
The other polygon has a 108 [tex]ft^2[/tex] area.
We are given the area overall (27 [tex]ft^2[/tex]) and the length of one side (3 ft) for the polygon on the left. With this knowledge, we can calculate the other side's length, which is 9 feet. I calculated this by multiplying 27 [tex]ft^2[/tex] by 3 ft, which gave me the answer of 9 ft.
We now need to locate the opposite side of the polygon on the right in order to calculate its area. Given that 3 * 2 = 6, it appears as though there is a scale factor of 2 between the two polygons. Knowing that the bottom side of the polygon on the left is nine, we may calculate the bottom side of the polygon on the right by multiplying nine by two. 9 × 2 = 18.
Now that we know the dimensions of the polygon on the right, we can calculate its area.
The other polygon's area is 107 [tex]ft^2[/tex] since 6*18 = 107.
The complete question is;-
The polygons are similar. The area of one polygon is given find the area of the other.
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X el largo de un escritorio es 6 pulgadas mas que su ancho. expresar el largo de la mesa en términos de su ancho W
The algebraic expression representing the length of the desk as a function of the width is given as follows:
L = W + 6.
How to obtain the algebraic expression?The two variables in the context of this problem are given as follows:
Length L.Width W.The length is 6 inches greater than the width of the desk, hence the algebraic expression representing the length of the desk as a function of the width is given as follows:L = W + 6.
TranslationThe problem asks for the algebraic expression representing the length of the desk as a function of the width.
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1. What are some differences between arithmetic and geometric sequences and series? What about finite and infinite sequences and series?
2. What are the explicit and recursive formulas for the nth term of an arithmetic sequence?
3. What are the explicit and recursive formulas for the nth term of a geometric sequence?
4. What is the formula for the sum of a finite arithmetic series?
5. What are the formulas for the sum of a finite and an infinite geometric series?
This refers to a sequence in which each term increases by adding/subtracting some constant k.
What is geometric sequences?
This refers to a sequence where each term increases by dividing/multiplying some constant k.
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what should be t-value to indicate that curve is not over flattening in smoothening of time series data
When smoothing time series data, it's important to ensure that the curve is not over-flattened, as this can lead to important information being lost.
What should be t-value to indicate that curve is not over flattening?To avoid over-flattening, one approach is to use a threshold value, or "t-value", to determine the maximum amount of smoothing that can be applied.Here are some steps to consider when choosing a t-value:Plot the original time series data and the smoothed curve to visualize the smoothing effect.Compare the slope of the smoothed curve to the slope of the original data.Choose a t-value that preserves the important features of the original data, such as trends, seasonality, and outliers.Ensure that the smoothed curve still accurately represents the underlying pattern in the data, while reducing noise and variability.Re-evaluate the t-value if necessary, based on the visual comparison of the original data and the smoothed curve.The t-value should be chosen such that the smoothed curve captures the underlying pattern in the data, while retaining important features such as trends and seasonality. If the t-value is set too high, the curve may become over-flattened and important information may be lost. On the other hand, if the t-value is set too low, the curve may not effectively reduce noise and variability in the data.To learn more about T-value refer:
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M is the midpoint of AB
Answer:
Midpoint=(−12,−2)
As a decimal:
Midpoint=(−0.5,−2)
Step-by-step explanation:
M=(xM,yM)
M=(x1+x22,y1+y22)
M=(3+−42,3+−72)
M=(−12,−42)
M=(−12,−2)
As a decimal:
M=(−0.5,−2)
Distance Solution: Between Endpoints
d=(x2−x1)2+(y2−y1)2−−−−−−−−−−−−−−−−−−√
d=(−4−3)2+(−7−3)2−−−−−−−−−−−−−−−−−−√
d=(−7)2+(−10)2−−−−−−−−−−−−√
d=49+100−−−−−−−√
d=149−−−√
d=12.206556
consider the formula k = 1/(1-s). what happens to the variable k when s grows in value?
When s grows in value, the value of variable k decreases.
Consider the formula k = 1/(1 - s)
We know that when the value of one quantity 'm' increases with respect to decrease in the value of other 'n' or vice-versa, then we say that the two quantities 'm' and 'n' are inversely proportional to each other.
We write this as,
m∝ 1/n
m = p/n
where p is the constant of proportionality
From the formula k = 1/(1 - s) we can observe that the quantities k and s are inversely proportional to each other.
this means, when the value of variable s increases, there is decrease in value of variable k.
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Find the values of x and y that ensure each quadrilateral is a parallelogram.
Top of quadrilaterial is: 3x-4y
Bottom of quadrilaterial is: 18
Right of it is: 7
Left of it is: 5x+y
As the sides of the parallelogram are equal, the values of x and y that ensure each quadrilateral is a parallelogram are 2 and -3.
What is parallelogram?A parallelogram is a basic quadrilateral with two pairs of parallel sides in Euclidean geometry. A parallelogram's opposing or facing sides are of equal length, and its opposite angles are of equal measure. A parallelogram is a sort of quadrilateral with opposing pairs of sides that are parallel and equal. A parallelogram is a form of quadrilateral in geometry. It has four sides and is two-dimensional. A parallelogram's most significant qualities are that its opposite sides are parallel and congruent, and its opposite angles are equal.
Here,
3x-4y=18
5x+y=7
multiply 2nd equation by 4 and solve,
3x-4y=18
20x+4y=28
23x=46
x=2
5*10+y=7
y=-3
The values of x and y that ensure each quadrilateral is a parallelogram is 2 and -3 as the side of parallelogram are equal.
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Vectors A and B are shown in the figure. Vector C is given by C = B-A. The magnitude of vector A is 16.0 units, and the magnitude of vector B is 7.00 units.
Write vectors A, B, and C in unit vectors notation.
Determine the magnitude and direction (Direction should be given ccw from the positive x-axis) of the vector C?
The magnitude of the given resultant vector is found as :C = 16.19 units. The direction is shown in figure.
Explain the term cosine theory in vectors? A sum of the products of the individual components of a two vectors, multiplied by the total of the magnitude of a two vectors, is the cosine of a angle between the two vectors.The dot product of a vectors divided by all product of its lengths equals the cosine of angle formed by two nonzero vectors. Only when the dot product of two vectors is zero do they become orthogonal.For the stated question:
C = B-Avector A = 16.0 unitsvector B = 7.00 unitsBy using the cosine theory of the vectors:
C² = A² + B² - 2A.B cosФ
C² = 16.0² + 7.00² - 2(16.0)(7.00).B cosФ79°
On solving:
C = 16.19 units
Thus, the magnitude of the given resultant vector is found as :C = 16.19 units. The direction is shown in figure.
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The figure for the question is attached.
a scale of 1:900,000 is ________ a scale of 1:24,000
A scale of 1:900,000 is 36 times smaller than a scale of 1:24,000.
This can be expressed mathematically as a ratio: 1:900,000 = 1:24,000 / 36. To calculate the scale factor between two maps, divide the denominator of the larger scale by the denominator of the smaller scale. In this example, the scale factor is 36.
A scale of 1:900,000 means that one unit on the map represents 900,000 units of the same type in the real world. For example, one centimeter on the map could represent 900,000 centimeters in real life, or 9 kilometers. A scale of 1:24,000 would mean that one unit on the map represents 24,000 units of the same type in the real world. For example, one centimeter on the map could represent 24,000 centimeters in real life, or 0.24 kilometers.
The scale factor is the number that is used to compare the size of one map to another. In this example, a map with a scale of 1:900,000 is 36 times smaller than a map with a scale of 1:24,000. This means that the features on the 1:900,000 map are 36 times smaller than the same features on the 1:24,000 map. Therefore, the 1:900,000 map is not as detailed as the 1:24,000 map.
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Four aerial photographers will need 6 batteries to operate their drone. Each found a different website that sells rechargeable batteries.
A first quadrant coordinate plane titled Website A is shown. The horizontal axis is labeled batteries. The vertical axis is labeled cost in dollars. A dotted line is graphed through the points zero comma forty, one comma forty-two, and continues through six comma fifty-two. An advertisement is titled Website B. Zapper. Rechargeable batteries, two dollars and thirty cents each. Battery charger, thirty-five dollars.
The table is titled Website C and has two columns and six rows. The first column is batteries. The second column is cost in dollars. One battery, thirty-nine dollars and ten cents. Two batteries, forty-one dollars and twenty cents. Three batteries, forty-three dollars and thirty cents. Five batteries, forty-seven dollars and fifty cents. Six batteries, forty-nine dollars and sixty cents. A caption reads, Website D: y equals three and five tenths x plus twenty-eight.
For each website, find the cost of 6 rechargeable batteries and a charger. Which website has the best price?
Answer: The cheapest option is Website B.
Step-by-step explanation:
The cost of 6 rechargeable batteries and a charger from each website is:
Website A: 6 batteries * $52/battery = $312
Website B: 6 batteries * $2.30/battery + $35/charger = $16.80 + $35 = $51.80
Website C: 6 batteries * $49.60/battery = $297.60
Website D: 6 batteries * $3.5 x + $28 = $63 + $28 = $91
The cheapest option is Website B with a cost of $51.80.
In ΔABC, a= 270 inches, m∠C=164° and m∠A=8°. Find the length of c to the nearest 10th of an inch
Answer:
456.9 inches
Step-by-step explanation:
We can use the law of sines to find c:
c = (a / sin C) = (270 inches / sin 164°)
To find the sine of an angle in degrees, we can use a scientific calculator or a trigonometry table. Rounding to the nearest 10th of an inch, c = approximately 456.9 inches.
Answer: It's 534.7
Step-by-step explanation:
I sacrificed my chance of getting it right to see the answer. It's right That I guarantee. btw brainiest, please?
Suppose we observe the following rates: 1R1 = .08, 1R2 = .12, and E(2r1) = 14. If the liquidity premium theory of the term structure of interest rates holds, what is the liquidity premium for year 2? Hint: Ry[(1+R)+E(277)+4)...Q+E(x7)+Lx)} N-1 O 6.15% O 2.15% O 14.00% O 8.45% O 12.45%
If the liquidity premium theory of the term structure of interest rates holds, 0.498% is the liquidity premium for year 2.
What is liquid premium theory?Any additional compensation that is necessary to attract investment in assets that cannot be quickly and effectively converted into cash at fair market value is known as a liquidity premium. Because it is more difficult to sell than a short-term bond, a long-term bond, for instance, will have a higher interest rate. According to the principle of the liquidity premium, bond investors favour short-dated assets that are highly liquid and have a short sales cycle over those that are longer-dated. According to another tenet of the theory, fluctuations in interest rates provide investors with compensation for greater pricing and default risks.
Given that,
1 + 1R₂= {(1 + 1R₁)(1 + E(2r₁) + L₂)}1/2
or, 1.12 = (1.8)(1.14 + L₂)1/2
or, (1.12)2/1.18 = 1.14 + L₂
or, 1.898 = 1.14 + L₂
or, L₂ = 0.498%
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determine the magnitude and coordinate direction angles of f3 so that the resultant of the three is 0
The magnitude of f3 is 6.403N and the coordinate direction angle is 247.9°
We can calculate the magnitude and coordinate direction angle of f3 using the vector triangle method.
We assume that the coordinate direction angle of f1 is 0° and the coordinate direction angle of f2 is 90°.
Using the law of cosines, we can determine the magnitude of f3, which is 6.403N:
f3^2 = f1^2 + f2^2 -2f1f2cos180°
f3^2 = 5^2 + 8^2 -2(5)(8)cos180°
f3^2 = 25 + 64 -80
f3^2 = 49
f3 = 6.403N
We can then use the law of sines to determine the coordinate direction angle of f3, which is 247.9°:
sinθ3 = f2sin180°/f3
sinθ3 = (8)(180°)/6.403
sinθ3 = 147.6°
θ3 = 247.9°
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How to convert 80 kg to lbs?
When 80 kg is converted to lbs it will be equal to 176.36980975 pounds (lb).
How to convert kg to lb?The conversion factor of 2.20462 can be used to convert kilograms (kg) to pounds (lbs). To calculate the number of pounds, multiply the number of kilograms by 2.20462.Here in this case,
80kg x 2.20462
= 176.36980975 pounds.
It should be noted that this conversion is for the international standard, and the conversion formula may vary depending on the country.Also, keep in mind that the pound (lb) and kilogram (kg) are weight units and should not be confused with mass, which is measured in ounces (oz) and grams (g). Weight is more commonly used in everyday life to measure things like body weight and food weight, whereas mass is more commonly used in scientific settings.To learn more about unit conversion refer to :
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describe three techniques for analyzing data. how are they organized and summarized, and what are they used for?
The three types of Data analysis can be : Descriptive Analysis, Diagnostic Analysis nad Predictive Analysis.
What is Data Analysis ?In order to find relevant information, support inferences, and help decision-making, data analysis is the process of analyzing, cleaning, manipulating, and modeling data.
Using both recent and old data, descriptive analytics seeks out patterns and connections. Because it only describes patterns and associations without going any further, it is frequently referred to as the most basic kind of data analysis.
A type of advanced analytics called diagnostic analytics looks at data or information to determine "why it happened." Techniques like drill-down, data discovery, data mining, and correlations are used to describe it.
Using data, statistical algorithms, and machine learning approaches, predictive analytics determines the likelihood of future events based on previous data. The objective is to provide the most accurate prediction of what will happen in the future in addition to understanding what has already occurred.
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question content area top part 1 find the average rate of change of the function over the given intervals. f(x)=11x3 11; a) [6,8], b) [−1,1]
the average rate of change = (f(1) - f(-1))/(1-(-1)). Substituting in the values of f(-1) and f(1), we get (143 - (-143))/2
a) Average rate of change of the function over [6,8] = (f(8) - f(6))/(8-6) = (11(83) - 11(63))/2 = 882/2 = 441
b) Average rate of change of the function over [-1,1] = (f(1) - f(−1))/(1-(−1)) = (11(13) - 11(-13))/2 = 244/2 = 122
a) To find the average rate of change of the function f(x)=11x3 over the interval [6,8], first calculate the value of the function at x=6 and x=8. This gives us f(6) = 11(63) = 729 and f(8) = 11(83) = 1728. Then, the average rate of change = (f(8) - f(6))/(8-6). Substituting in the values of f(6) and f(8), we get (1728 - 729)/2 = 882/2 = 441.
b) To find the average rate of change of the function f(x)=11x3 over the interval [-1,1], first calculate the value of the function at x=-1 and x=1. This gives us f(-1) = 11(-13) = -143 and f(1) = 11(13) = 143. Then, the average rate of change = (f(1) - f(-1))/(1-(-1)). Substituting in the values of f(-1) and f(1), we get (143 - (-143))/2
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if x and y each represent a single digit, does the number 8.3xy round to 8.3 when it is rounded to the nearest tenth?
If x and y each represent a single digit, then the 8.3xy rounded to the nearest tenth will be 8.3 when x>=5.
Given that,
If x and y each represent a single digit
The number 8.3xy round to 8.3
Then, the nearest tenth value is,
Round to the nearest tenth means to write the given decimal number up to one decimal place. This is done in such a way that after rounding off, there is one digit after the decimal point.
To round to the nearest tenth using a number line, look at the tenth place value closest to the number you are rounding. Round 2.12, 2.28 and 2.44 to the nearest tenth.
We can write,
If x and y each represent a single digit, does the number 8.3xy round to 8.3 when it is rounded to the nearest tenth,
We have the radius, 8.3, so we have all necessary information to solve this problem.
8.3xy rounded to the nearest tenth will be 8.3 when x>=5.
Therefore,
If x and y each represent a single digit, then the 8.3xy rounded to the nearest tenth will be 8.3 when x>=5.
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If x and y each represent a single digit, then the 8.3xy rounded to the nearest tenth will be 8.3 when x>=5.
Given that,
If x and y each represent a single digit
The number 8.3xy round to 8.3
Then, the nearest tenth value is,
Round to the nearest tenth means to write the given decimal number up to one decimal place. This is done in such a way that after rounding off, there is one digit after the decimal point.
To round to the nearest tenth using a number line, look at the tenth-place value closest to the number you are rounding. Round 2.12, 2.28, and 2.44 to the nearest tenth.
We can write,
If x and y each represent a single digit, does the number 8.3xy round to 8.3 when it is rounded to the nearest tenth,
We have a radius, of 8.3, so we have all the necessary information to solve this problem.
8.3xy rounded to the nearest tenth will be 8.3 when x>=5.
Therefore,
If x and y each represent a single digit, then the 8.3xy rounded to the nearest tenth will be 8.3 when x>=5.
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