10 : 35 fraction in simplest from
Answers
What is 10/35 Simplified? - 2/7 is the simplified fraction for 10/35.
-BBBM
Related Questions
Suppose that the daily log return of a security follows the model rt = 0.02 +0.5rt-2 + et where {e} is a Gaussian white noise series with mean zero and variance0.02. What are the mean and variance of the return series rt? Compute the lag-1 and lag-2 autocorrelations of rt. Assume that r100 = -0.01, and r99 = 0.02. Compute the 1- and 2-step-ahead forecasts of the return series at the forecast origin t = 100. What are the associated standard deviation of the forecast errors?
Answers
Mean of rt = 0.02,
Variance of rt = 0.02,
Lag-1 Autocorrelation (ρ1) = -0.01,
Lag-2 Autocorrelation (ρ2) = Unknown,
1-step ahead forecast = -0.005,
2-step ahead forecast = 0.02,
The standard deviation of forecast errors = √0.02.
We have,
To find the mean and variance of the return series, we can substitute the given model into the equation and calculate:
Mean of rt:
E(rt) = E(0.02 + 0.5rt-2 + et)
= 0.02 + 0.5E(rt-2) + E(et)
= 0.02 + 0.5 * 0 + 0
= 0.02
The variance of rt:
Var(rt) = Var(0.02 + 0.5rt-2 + et)
= Var(et) (since the term 0.5rt-2 does not contribute to the variance)
= 0.02
The mean of the return series rt is 0.02, and the variance is 0.02.
To compute the lag-1 and lag-2 autocorrelations of rt, we need to determine the correlation between rt and rt-1, and between rt and rt-2:
Lag-1 Autocorrelation:
ρ(1) = Cov(rt, rt-1) / (σ(rt) * σ(rt-1))
Lag-2 Autocorrelation:
ρ(2) = Cov(rt, rt-2) / (σ(rt) * σ(rt-2))
Since we are given r100 = -0.01 and r99 = 0.02, we can substitute these values into the equations:
Lag-1 Autocorrelation:
ρ(1) = Cov(rt, rt-1) / (σ(rt) * σ(rt-1))
= Cov(r100, r99) / (σ(r100) * σ(r99))
= Cov(-0.01, 0.02) / (σ(r100) * σ(r99))
Lag-2 Autocorrelation:
ρ(2) = Cov(rt, rt-2) / (σ(rt) * σ(rt-2))
= Cov(r100, r98) / (σ(r100) * σ(r98))
To compute the 1- and 2-step-ahead forecasts of the return series at
t = 100, we use the given model:
1-step ahead forecast:
E(rt+1 | r100, r99) = E(0.02 + 0.5rt-1 + et+1 | r100, r99)
= 0.02 + 0.5r100
2-step ahead forecast:
E(rt+2 | r100, r99) = E(0.02 + 0.5rt | r100, r99)
= 0.02 + 0.5E(rt | r100, r99)
= 0.02 + 0.5(0.02 + 0.5r100)
The associated standard deviation of the forecast errors can be calculated as the square root of the variance of the return series, which is given as 0.02.
Thus,
Mean of rt = 0.02,
Variance of rt = 0.02,
Lag-1 Autocorrelation (ρ1) = -0.01,
Lag-2 Autocorrelation (ρ2) = Unknown,
1-step ahead forecast = -0.005,
2-step ahead forecast = 0.02,
The standard deviation of forecast errors = √0.02.
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the question in the photo
Answers
Answer: b would be the answer
Step-by-step explanation:
2wto power of 2 minus 16w=12-48
Answers
The factor is (w-2)(w-12) and the solution of the expression is w =2 or 12
How to factorize and find the solution of an algebraic expression?
Given: 2wto power of 2 minus 16w=12w-48.
This expression can be written as 2w² - 16w = 12w-48
2w² - 16w = 12w-48
2w² - 16w-12w = -48
2w² - 28w + 48 = 0
Divide through by 2:
w² - 14w + 24 = 0
w² - 12w-2w + 24 = 0
Factorize:
(w-2)(w-12) = 0
w-2 = 0 or w-12 = 0
w =2 or 12
Therefore, the solution of 2w² - 16w = 12w-48 is w =2 or 12
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3.
In the diagram below of right triangle ABC, altitude BD is drawn to hypotenuse AC.
3) 8
4) 11
A
B
D
If BD = 4, AD = x-6, and CD - x, what is the length of CD?
1)
5
2) 2
Answers
The length of CD in the triangle is given as follows:
CD = 8.
What is the geometric mean theorem?The geometric mean theorem states that the length of the altitude drawn from the right angle of a triangle to its hypotenuse is equal to the geometric mean of the lengths of the segments formed on the hypotenuse.
The base segments for this problem are given as follows:
AD = x - 6 and CD = x.
The altitude for the triangle is given as follows:
4.
Hence we apply the geometric mean theorem to obtain the value of x, representing the length CD, as follows:
x(x - 6) = 4²
x² - 6x - 16 = 0.
(x - 8)(x + 2) = 0.
x must be positive, hence:
x - 8 = 0
x = 8 -> CD = 8.
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Suppose you are offered an investment that will pay you $800 a month for 40 years. If your required return is 6% per year, compounded monthly, what would you be willing to pay for this investment?
Answers
If you have a required return of 6% per year, compounded monthly, and you are offered an investment that will pay you $800 a month for 40 years, you would be willing to pay approximately $206,595.71 for this investment.
To determine the value you would be willing to pay for this investment, we can use the concept of present value. The present value of an investment is the current worth of the future cash flows it will generate. In this case, the investment will pay you $800 a month for 40 years.
To calculate the present value, we can use the formula:
\(PV = CF / (1 + r)^n\)
Where PV is the present value, CF is the cash flow, r is the required return per period, and n is the number of periods.
In this case, the cash flow is $800 per month, the required return is 6% per year (or 0.06/12 = 0.005 per month), and the number of periods is 40 years * 12 months = 480 months.
Plugging these values into the formula, we have:
PV = $800 / \((1 + 0.005)^(480)\)
Calculating this expression, we find that the present value is approximately $206,595.71. Therefore, you would be willing to pay approximately $206,595.71 for this investment to achieve your required return of 6% per year, compounded monthly.
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What is the length of the long leg in the right triangle shown below? O A. 6 B. 3 C. 643 D. 6√2 30* N 60°
Answers
Answer:
c.) 6√3
Step-by-step explanation:
This can be solved using both sine and cosine rule.
1st method:
\(\sf sin(x) = \dfrac{opposite}{hypotenuse}\)
\(\sf sin(60) = \dfrac{long \ leg}{12}\)
\(\sf long \ leg= 12sin(60)\)
\(\sf long \ leg= 6\sqrt{3}\)
2nd method:
\(\sf cos(x) = \dfrac{adjacent}{hypotenuse}\)
\(\sf cos(30) = \dfrac{long \ leg}{12}\)
\(\sf long \ leg= 12cos(30)\)
\(\sf long \ leg=6\sqrt{3}\)
How do you write a linear inequality?
Answers
Mathematical expressions known as linear inequalities compare two expressions and used the inequality symbol. The expression may be either a numerical or an algebraic expression, or it may be both.
Define the term linear inequality?Expressions that compare two linear expressions using inequality symbols are referred to as linear inequalities.
It's important to remember that if p < q, then p must be a number that is unambiguously less than q. If p ≤ q, then p is a number that is strictly smaller than q or exactly equal to q. The same is true for the final two inequality signs > (greater than) and (greater than or equal to).When resolving multi-step linear inequalities, we must follow the laws of inequality.
Step 1: Simplify an inequality on both sides, both the LHS and the RHS.Step 2: If indeed the inequality is just a strict inequality, when the value is acquired, the solution for x is either less than or larger than the calculated value as stated in the question.To know more about the linear inequality, here
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In circle O below AB is a diameter and m
Answers
Step-by-step explanation:
In any circle the measure of an inscribed angle is one-half the measure of its subtended arc
In circle O
∵ ∠BAC is an inscribed angle subtended by arc BC
∴ m∠BAC = m arc BC
∵ m∠BAC = 70°
- Substitute it in the the expression above
∴ 70 = m arc BC
- Multiply both sides by 2
∴ 140 = m arc BC
∴ The measure of arc BC is 140°
∵ AB is a diameter
- The diameter divides the circle into two equal arcs
∴ m of arc ACB = measure of the circle
- The measure of the circle is 360°
∴ m of arc ACB = (360°)
∴ m of arc ACB = 180°
∵ m arc BC + m arc AC = m arc ACB
∴ 140° + m arc AC = 180°
- Subtract 140 from both sides
∴ m arc AC = 40°
The measure of arc AC is 40°
a. What is the nth fraction in the following sequence? 2
1
, 4
1
, 8
1
, 16
1
, 32
1
,… b. What is the sum of the first n of those fractions? To what number is the sum getting closer and closer? Two forces, A=80 N and B=44 N, act in opposite directions on a box, as shown in the diagram. What is the mass of the box (in kg ) if its acceleration is 4 m/s 2
?
Answers
A)an = 2*2^(n-1)`. B) `The sum of the first n fractions is `2*(2^n - 1)`.
a. The sequence is a geometric sequence with the first term `a1 = 2` and common ratio `r = 2`.Therefore, the nth term `an` is given by:`an = a1*r^(n-1)`
Substituting `a1 = 2` and `r = 2`, we have:`an = 2*2^(n-1)`
b. To find the sum of the first n terms, we use the formula for the sum of a geometric series:`S_n = a1*(1 - r^n)/(1 - r)
`Substituting `a1 = 2` and `r = 2`, we have:`S_n = 2*(1 - 2^n)/(1 - 2)
`Simplifying:`S_n = 2*(2^n - 1)
`The sum of the first n fractions is `2*(2^n - 1)`.As `n` gets larger and larger, the sum approaches `infinity`.
Thus, the sum is getting closer and closer to infinity.
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Which FAR Part 77 imaginary surface has slopes that may range from 20:1 to 50:1?
The primary surface
The horizontal surface
The approach surface
The conical surface
Answers
The conical surface is the correct answer as it allows for slopes ranging from 20:1 to 50:1. The FAR Part 77 imaginary surface that has slopes that may range from 20:1 to 50:1 is the conical surface.
The conical surface is a three-dimensional surface defined by a combination of horizontal and inclined planes. It extends upward and outward from the end of the primary surface and has varying slope requirements. The slope of the conical surface represents the ratio of the change in elevation to the horizontal distance. A slope of 20:1 indicates that for every 20 units of horizontal distance, there is a 1-unit increase in elevation.
Similarly, a slope of 50:1 means that for every 50 units of horizontal distance, there is a 1-unit increase in elevation. Therefore, the conical surface is the correct answer as it allows for slopes ranging from 20:1 to 50:1.
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Henry is diving off a diving board that is 7m above the water. After 2 seconds, he reaches his maximum height of 9m above the water. What height will Haney be after 5 seconds?
Answers
Answer:
22.5m,
2+2=4
therefore:
9+9=18
and to get 2 to equal 1 half it,
half of 9= 4.5, add it to 18 , and you have 22.5.
:)
sorry for any mistakes, I'm not that good, but i thought i could manage this :)
The Benton Youth Soccer Team has 20 players on the team, including reserves. Of these, three are goalies. Today, the team is having a contest to see which goalie can block the most number of penalty kicks. For each penalty kick, a goalie stands in the net while the rest of the team (including other goalies) takes a shot on goal, one at a time, attempting to place the ball in the net. How many penalty kicks must be taken to ensure that everyone has gone up against each of the goalies?
Answers
Answer:
57
Step-by-step explanation:
Subtract one player from the total number, because one has to block.
19
Multiply this by the number of goalies there are.
19*3=57
There will be 57 kicks.
57\% of all us households have someone available to answer unsolicited calls. assuming that households answer (or not) independently of one another, what is the probability that calls to exactly two randomly selected households will both go unanswered?
Answers
The probability that calls to exactly two randomly selected households will both go unanswered is 0.1849
Calculating the probability that both calls will go unanswered?
From the question, we have the following parameters that can be used in our computation:
Probabiity of answering, p = 57%
This means that the probability that no one answers the call is
q = 1 - 57%
Evaluate
q = 43%
So, the probability that both calls will go unanswered is
P = q²
This gives
P = (43%)²
Evaluate
P = 0.1849
Hence, the probability is 0.1849
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Here is a net made of right triangles and rectangles. All measurements are given in centimeters. Three rectangles in a row measuring 6 by 4, 6 by 5, and 6 by 3. The left rectangle is bordered on the top by a right triangle with side lengths 4, 3, and 5. The right rectangle is bordered on the bottom by a right triangle with side lengths 3, 4, and 5. What is the surface area of the polyhedron? Explain your reasoning.
Answers
Answer:
a. 84 cm² b. The area of the polyhedron is found by finding the sum of the areas of each individual shape.
Step-by-step explanation:
a. The area of the polyhedron is gotten by finding the area of each individual shape.
The area of the left rectangle with sides 6 by 4 is 6 cm × 4 cm = 24 cm²
The area of the middle rectangle with sides 6 by 5 is 6 cm × 5 cm = 30 cm²
The area of the right rectangle with sides 6 by 3 is 6 cm × 3 cm = 18 cm²
The area of the triangle on the left rectangle is found using heron's formula where area A = √[s(s -a)(s -b)(s -c) where s = (a + b + c)/2 and a, b and c are the sides of the rectangle.
Since the rectangle has sides 4, 3 and 5, a = 4, b = 3 and c = 5
So, s = (a + b + c)/2 = s = (4 + 3 + 5)/2 = 12/2 = 6
A = √[s(s -a)(s -b)(s -c)
= √[6(6 - 4)(6 - 3)(6 - 5)
= √[6(2)(3)(1)
= √36
= 6 cm²
The area of the triangle on the right rectangle is found using heron's formula where area A = √[s(s -a)(s -b)(s -c) where s = (a + b + c)/2 and a, b and c are the sides of the rectangle.
Since the rectangle has sides 3, 4 and 5, a = 3, b = 4 and c = 5
So, s = (a + b + c)/2 = s = (3 + 4 + 5)/2 = 12/2 = 6
A = √[s(s -a)(s -b)(s -c)]
= √[6(6 - 3)(6 - 4)(6 - 5)]
= √[6(3)(2)(1)
= √36
= 6 cm²
The surface area of the polyhedron is the sum of all the areas. So, A = 24 cm² + 30 cm² + 18 cm² + 6 cm² + 6 cm² = 84 cm²
b. Explain your reasoning
The area of the polyhedron is found by finding the sum of the areas of each individual shape.
Definition of a derivative (limit of the difference quotient)
Answers
The derivative of a function f(x) at a point x = a is defined as the limit of the difference quotient as h approaches zero:
f'(a) = lim (h → 0) [f(a + h) - f(a)] / h
What is derivative?
The derivative of a function in calculus measures the function's sensitivity to changes in its input variable. Specifically, at a particular point, it represents the function's rate of change with respect to its input variable at that moment.
The derivative of a function f(x) at a point x = a is defined as the limit of the difference quotient as h approaches zero:
f'(a) = lim (h → 0) [f(a + h) - f(a)] / h
This limit represents the instantaneous rate of change or slope of the function at the point x = a. The difference quotient is the change in the function value divided by the change in the input variable (or the distance between two points on the graph of the function).
The derivative is a fundamental concept in calculus, and it has many applications in various fields of science, engineering, and economics. It allows us to calculate important quantities such as velocity, acceleration, and marginal cost, and it is used to optimize functions and solve many real-world problems.
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A pair of parallel interstate gas power lines run 10 meters apart and are equally distant from relay station A. The power company needs to locate a gas-monitoring point on one of the lines exactly 12 meters from relay station A. Draw a diagram showing the locus of possible locations (there should be two.)
Explanation would be appreciated!
Answers
||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||\
PLEASE HELP I WILL MARK BRAINLIEST!!! :)
Answers
Answer:
1.c
Step-by-step explanation:
please click the heart and rate excellent and brainleist to☻❤☺️☺️❤☻
Liam has 12 red balloons and 14 blue balloons. He puts all of his balloons in 2
equal groups. How many balloons are in each group?
14
52
13
26
Answers
Answer:
I think it's 26. I think soooo
The number of balloons in each group is 13.
Option C is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Number of red ballons = 12
Number of blue balloons = 14
Number of groups = 2
The number of balloons in each group.
= (12 + 14) / 2
= 26/2
= 13
Thus,
There are 13 balloons in each group.
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20 points please answer, attached pic
Answers
Answer:
A: 5
B: 50
Step-by-step explanation:
So the constant of proportionality is k=y/x and y is the y axis and x is the x-axis
distance is 5 when time is 1 so y/x proportion = 5/1 and so if you multiply the time to get to 10 from 1 you need to do the same to 5 (the distance) this means that the distance where you are at when you are at 10 seconds is 50 units (distance)
Algebraic rule of (4x,4y)
Answers
Answer:
The algebraic rule of (4x, 4y) is (4x, 4y).
what are the values of AB and DE in parallelogram ABCD?
Answers
Answer:
AB equals 13 and DE equals 7.
Step-by-step explanation:
In a parallelogram, the opposite sides are equivalent, so AB will equal CD which equals 13. Based on this rule, you can infer that BC = AE + ED. Since BC equals 23 and AE equals 16, ED would be 7.
The solution is
The value of AB of the parallelogram is 13
The value of DE of the parallelogram is 7
What is a Parallelogram?
A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure
The four types are parallelograms, squares, rectangles, and rhombuses
Properties of Parallelogram
Opposite sides are parallel
Opposite sides are congruent
Opposite angles are congruent.
Same-Side interior angles (consecutive angles) are supplementary
Each diagonal of a parallelogram separates it into two congruent triangles
The diagonals of a parallelogram bisect each other
Given data ,
Let the parallelogram be ABCD
The value of side CD = 13
The value of side BC = 23
The value of side AE = 16
AD = AE + ED
And , Opposite sides are parallel in a parallelogram
Now , the value of side AB = CD
So , the value of side AB = 13
And , The value of side BC = AD
So , the value of AD = 23
AD = AE + ED
Substituting the values in the equation , we get
23 = 16 + DE
Subtracting 16 on both sides of the equation , we get
DE = 23 - 16
The value of side DE = 7
Hence , the value of side AB = 13 and value of side DE = 7
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8. Write the equation of a horizontal line that passes through the point (-2, 2).
x = -2
y = 2
X = 2
y = -2
Answers
Answer:
its y=2
Step-by-step explanation:
What is the equation of the following line? Be sure to scroll down first to see all answer options. (8,2) (0, 0)
Answers
The equation of the line is y = 4x
How to determine the equation of the lineThe general equation of a line is expressed with the formula;
y = mx + c
Where the parameters are given as;
y is a point of the line on the y -axis of the graphx is a point of the line on the x -axis of the graphm is the slope of the line in the graphc is the intercept of the iine on the y -axis of the graphFrom the information given, we have the expression;
Slope, m = y₂ - y₁/x₂ - x₁
Substitute the values into the formula
Slope, m = 0 - 8/0 - 2
Subtract the values
Slope, m = -8/-2 = 4
For the intercept
0 = 4(0) + c
c = 0
Hence, the equation is y = 4x
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Diameter is 22.5m. Calculate the area (round your answer to 2 decimal places), Use 3.14 for Pi
Answers
Answer:
397.61m
Step-by-step explanation:
A = 1
4πd^2 = 1
4 x π x 22.52 = 397.60782
Put your answers in the green
boxes.
Answers
Answer:
1. 2m^2-2n^2
Step-by-step explanation:
1. (m-n)(m^2+mn+n^2)
m^2=m
n^2=n
=(m-n)(m+mn+n)=(m-n)(2m2n)
Multiple
=2m^2-2n^2
What is the surface area of a sphere that has a radius of 5 units? Use 3.14 for π.
Answers
The surface area of a sphere is 314.16 square units.
What is a sphere?A sphere is a 3 dimensional figure, which is made up of all points in the space, which lie at a constant distance called the radius, from a fixed point called the center of the sphere.
For the given situation,
The radius of the sphere,r = 5 units
The formula of the surface area of a sphere is
\(A=4\pi r^{2}\)
On substituting the above values,
⇒ \(A=4(3.14)(5)^{2}\) [∵ π = 3.14]
⇒ \(A=(4)(3.14)(25)\)
⇒ \(A=314.16\)
Hence we can conclude that the surface area of a sphere is 314.16 square units.
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Lisa spent $56 on pizzas. Meat pizzas cost $6 and cheese pizzas cost $5. She bought 10 pizzas total. How many of each did she buy?
Answers
Answer:
You can get 10 chesse pizzas and then you can get 1 meat pizza.
Step-by-step explanation:
Sorry if that wasn't what you were looking for. Hope this helped!
Answer:
6 meat pizzas and 4 cheese pizzas = $56
Step-by-step explanation:
The customer must first pay an annual 300 a ductile in the policy covers 70% of cost of x-rays the first Insurance claim for Pacific year submitted by a person or two X-Rays the first x-ray cost 6:40 and the secondary x-ray cost 950 how much in total will he need to pay for these x-rays
Answers
Answer:
$177
Step-by-step explanation:
Given that:
Percentage covered by policy = 70%
Hence, person needs to pay (100 - 70)% = 30%
X - Ray cost :
1st = 640
2nd = 950
Total cost = (640 + 950) = 1590
Amount the person has to pay:
Total cost * 30%
1590 * 0.3 = $477
Since the person has $300 deductible :
$477 - $300 = $177
tyra buys 14 gallons of gas for $35. How could she figure out how much 1 gallon of gas cost her ?
Answers
Answer:
2.50$
Step-by-step explanation:
you would divide 35 and 14
35/14=2.5
2.5=$2.50
pat is 17 years older than his son patrick. in 5 years pat will be twice as old as patrick. how old are they now?
Answers
By using linear equation, the patrick is 12 years old and pat is 29 years old.
We take variable x to find out their present age.
What is linear equation?The fundamental equation used to represent and solve for an unknown quantity is a linear equation in one variable. It is always a straight line, and it is simply shown graphically. A mathematical statement is simply represented by a linear equation. Unknown amounts can be symbolised or represented by any variable. There are a few straightforward procedures for solving linear equations. To determine the final value of the unknown quantity, the constants are isolated to one side of the equation and the variables are isolated to the other side.
SolutionLet the age of patrick is 'x'. so the age of his father pat be 'x + 17'.
After 5 years, partrick's age will be 'x + 5'
And his father pat age will be x + 17 + 5 = 'x + 22'
After 5 years pat age will e twice of patrick age.
So that 2(x + 5) = x + 22
⇒ 2x + 10 = x + 22
⇒ 2x - x = 22 - 10
⇒ x = 12
So that the patrick is 12 years old and pat is 29 years old.
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