A function has an initial value of 3 and a rate of change of 4. Which table matches the description of the function

As per the gaussian distributed random variables , the joint probability density function of the given variable is E [Z(t1)] = cos(2πt1)E [X] + sin(2πt1)E [Y]

Gaussian distribution:

In statistics, the Gaussian distribution refers the normally distributed, and is called a normal deviate. Normal distributions are important in statistics and are often used in the natural and social sciences to represent real-valued random variables whose distributions are not known.

Given,

Here we need to find the the joint probability density function of the variables x and y be independent gaussian distributed random variables each with zero mean and unity variance.

Here we know that every weighted sum of the samples of the Gaussian process Z(t) is Gaussian, Z(t1), Z(t2) are jointly Gaussian random variables. Hence we need to find mean, variance and correlation co-efficient to evaluate the joint Gaussian PDF.

Then the equation is written as,

=> E [Z(t1)] = cos(2πt1)E [X] + sin(2πt1)E [Y]

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When the arc's area is 24 square feet and its radius is 12 feet, the arc's length is 36.56 feet.

An arc is a section of a circle's or curve's border in mathematics. It is additionally known as an open curve. The circumference, commonly referred to as the perimeter, is the measurement around a circle that defines its edge. A sector is referred to as a component of a circle made up of the circle's arc and its two radii. It is a section of the circle made up of the arc's circumference and the radii of the circle at its ends. A slice of pizza or a pie can be used as an analogy for the form of a circle's sector.

Here,

area of sector=24π ft²

radius of sector=12 ft

area=θ/360*Π*12²

24π=θ/360*Π*12²

2=θ/360*12

2*360/12=θ

θ=60°

length of arc=2r+θ/360*(2Πr)

=2*12+60/360(2*3.14*12)

=24+2*2*3.14

length of arc=36.56 ft

The measure of arc is 36.56 feet when the area of arc is 24π feet² and it has the radius of 12 feet.

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The distance on the number line between a number and 0 is its absolute value.

The visual representation of numbers on a straight line, either horizontally or vertically, is known as a number line.

When numbers are written down on a number line, it is straightforward for humans to compare them and perform basic arithmetic operations on them.

One might assume that a number line starts at zero (0). There are only negative numbers to the left of zero and only positive numbers to the right of zero.

In other words, as we move to the right on a number line, the value of the numbers increases.

The part of the number line to the left of zero is called the negative number line. But all is in the region to the right of zero.

Hence, The distance on the number line between a number and 0 is its absolute value.

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Answer:

breadth = 4 ft ; length = 12 ft

Step-by-step explanation:

p/2 = 32/2 = 16ft

l + b = 16

b = 1/3 l

l + 1/3 l = 16

(3 + 1)/3 l = 16

4/3 l = 16

l = 16 · 3/4

l = 4 · 3

l = 12 ft

b = 12  · 1/3

b = 4 ft

Answer:

3b-4w-4m

Step-by-step explanation:

3b-4w+5m-9m

3b-4w-4m

Answer:

-4m+3b-4w

Step-by-step explanation:

5m+3b-9m-4w

we combine like terms but in this case only the m are like terms

5m-9m+3b-4w

-4m+3b-4w

i cant really see the options but it looks like it is the second to last or c option

hopes this helps please mark brainliest

Answer:

x=2,y=−5

Step-by-step explanation:

Answer: 20 and 25

Step-by-step explanation: we know that there are 2 numbers and the sum is 45. Let's put one number as x. The other number is x+5 because the difference is 5. So our equation is- x+x+5=45. After we solve the equation by subtracting 5 from each side and simplifying x, we get x=20. The other number should be 5 more so the second number is 25. The numbers are 20 and 25. Please rate this answer!

Using algebra, we conclude that the dollar amount of meals Jerome served this weekend is $1150.

Given: The total amount Jerome earned this weekend is $252.50.

           He earned every weekend = $80.

            He earned 15% of the cost of meals as tips by serving them.

To find: The cost of meals served by Jerome in this weekend.

The total amount, $252.50,  is the sum of the tips amount Jerome earned from serving meals and sum of the amount Jerome earned every weekend. To solve this, we must first translate the conditions of the problem, into an algebraic expression with a variable referring to the unknown quantity. This expression is then converted to an equation to find the value of the unknown quantity.

Let x be the cost of meals that Jerome served this weekend.

The equation for the problem statement becomes

[tex]\$80 + \frac{15}{100} x = \$252.50\\\\[/tex]

Keeping only the x term on the left side of the equation and constant terms on the right side we get

[tex]\frac{15}{100} x = \$252.50 - \$80\\\\\frac{15}{100} x = \$172.50\\\\\\[/tex]

Multiply both the sides of the equation by 100

[tex]\frac{15}{100} x \times 100 = \$172.50 \times 100\\\\15x = \$17250[/tex]

Divide both sides of the equation by 15

[tex]\frac{15x}{15} = \frac{\$17250}{15}\\\\x = \$1150[/tex]

Algebra is a field of mathematics in which letters are substituted for numbers, and an algebraic equation depicts a scale in which what is done on one side of the scale is likewise done on the other side of the scale, with the numbers acting as constants.

An equation is a mathematical statement that two expressions are equal. If it is an algebraic equation, two algebraic expressions has to have the same value  on either side of the equal sign.

A meaningful collection of numbers, variables, and signs (positive or negative) of operations that must make mathematical and logical sense is referred to as an algebraic expression.

Expressions contain any number of algebraic terms. They use signs of operation like addition, subtraction, multiplication, and division and also do not contain an equality sign (=).

Using algebra, we conclude that the dollar amount of meals Jerome served this weekend is $1150.

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The equation for $95 for each ticket and free shipping y = 15 + 95x

In this situation, an equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario. It is vital to note that an equation is a mathematical statement which is made up of two expressions.

Let the number of tickets be x.

Let the total amount is y.

The equation for $95 for each ticket and free shipping will be:

y = 15 + (95 × x)

y = 15 + 95x

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Answer:

Step-by-step explanation:

D: 15%

Answer:

A. 9x = 18

Step-by-step explanation:

4x - y + 5x + y = - 3 + 21

9x = 18

x = 2

Answer: 3^5=243. 1/243

Step-by-step explanation:

We calculate the amount of ways he can answer 5 questions. It's 3x3x3x3x3 because he has 3 questions at the start with each of the 3 having another 3 questions to choose from and so on.

Area of the circle S be 16π square. millimeter

What is an area of circle ?

The area of ​​a circle is the space the circle occupies in the two-dimensional plane. Alternatively, the space occupied within the boundary/circumference of a circle is called the area of ​​the circle. The formula for the area of ​​a circle is A = πr2, where r is the radius of the circle. A unit area is a unit square. Examples: m2, cm2, in2, etc. Circle area = π[tex]r^{2}[/tex]in square units (Pi)π = 22/7 or 3.14. Pi (π) is the ratio of the circumference to the diameter of any circle. This is a special mathematical constant.

It is given that the radius of circle S is half the radius of circle L and the radius of circle L is 8 millimeters.

Radius of the circle S = 8/2 = 4 millimeters

Area of the circle S = π[tex]r^{2}[/tex] = π[tex](4)^{2}[/tex] = 16π square. millimeter

Therefore, area of the circle S be 16π square. millimeter

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Answer:

1. A repeating decimal is a fraction [tex]\frac{a}{b}[/tex] where a and/or b are fractions and b is not equal to 0.

2. A decimal that ends is a ( n ) terminating decimal

3. Two numbers that have a sum of 0 are additive inverses

Answer:

13.5%

Step-by-step explanation:

Given that μ = 144, σ = 27:

For x = 90: z= 90-144/27=-2

For x = 117: = 117-144/27 = -1

Therefore, From the normal distribution table: -2 gives .02275 and -1 gives .15866

So the required percentage = .02275 - .15866 = -0.13591= 13.5%

Hence, 13.5% of the population would be between 144 and 198

The entries that complete the table are 1, 2, 8, 6 and 3.

Given:

These are the times for 200 people to get to work time people. A 10% sample, stratified by time, is taken.

Complete the table :

To do this, we multiply the number of people by the proportion of sample i.e. 10%.

The product is then approximated to the nearest unit

So, we have:

7 => 7 * 10 % ≈ 1

22 => 22 * 10 % ≈ 2

77 => 77 * 10 % ≈ 8

63 => 63 * 10 % ≈ 6

31 => 31 * 10 % ≈ 3

Hence, the entries that complete the table are 1, 2, 8, 6 and 3.

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If the value of x will be 2. Then the length of KL will be 8 units.

What does cooperation with an example mean?

Being ability to use your body properly while moving around and cooperating with other people or things is the concept of coordination.

                                A gymnast walking on a tightrope without falling is an illustration of coordination. Working together to arrange or coordinate a party is an example of coordination.

Point K is on line segment JL. Given JL = x + 10, KL = 4x, and JK = 2x.

Then the value of x will be

    JL = JK + KL

x + 10 = 2x + 4x

   5x = 10

     x = 2

Then the length of KL will be

KL = 4x

KL = 4 (2)

KL = 8 units

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The complete question is-

Point K is on line segment JL. Given JL = x + 10, KL = 4x, and JK = 2x,

determine the numerical length of KL.

Yes, this sample of the flowers in the neighborhood is likely to be biased. This is because the number of flowers observed on each block is relatively small and may not be representative of the entire neighborhood.

A neighborhood is a local geographic area typically containing a cluster of families and individuals who live nearby and interact with each other. It is usually a residential area, although some neighborhoods may be mixed-use, containing both residential and commercial buildings. Neighborhoods are typically identified by geographical boundaries such as a street, a park, or a body of water. People living in a given neighborhood often share certain characteristics including socio-economic status, culture, ethnicity, and even language. Neighborhoods play an important role in the lives of individuals and families, providing a sense of belonging, safety, and identity.

Additionally, if there is any external factor that influences the number of flowers on certain blocks (such as the amount of sunlight or water) then the sample may be skewed.

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Answer:

16.) The solution to this inequality is x < -4 or x > -3.

17.) To solve for b, we need to isolate b on one side of the equation. To do this, we can subtract ab from both sides of the equation, which gives us xy = cd - ab. Then, we can divide both sides of the equation by xy, which gives us b = (cd - ab)/xy.

18.) To solve for a, we need to isolate a on one side of the equation. To do this, we can divide both sides of the equation by 3, which gives us a - b = 3mn. Then, we can add b to both sides of the equation, which gives us a = b + 3mn.

19.) To factor this expression, we first distribute the 3x2 to get 3x2y - 6x2. Then, we notice that the 3x2 and the -6x2 have a common factor of -3x2, so we can factor them out to get -3x2(y - 2) - 5(y - 2). Finally, we notice that the -3x2(y - 2) and the -5(y - 2) have a common factor of -(y - 2), so we can factor them out to get -(y - 2)(3x2 - 5).

20.) To factor this expression, we notice that the kmfd and the -3jkm have a common factor of -jkm, so we can factor them out to get -jkm(f - 3).

21.) To factor this expression, we notice that 49 is a perfect square, so we can write 49 as 72. Then, we can factor out the x from the x2 to get 7x(x - 9).

22.) To factor this expression, we notice that 64 is a perfect square, so we can write 64 as 82. Then, we can factor out the x from the x2 to get 8x(x + y).

23.) To factor this expression, we notice that the x2 and the -35 have a common factor of x - 5, so we can factor them out to get (x - 5)(x + 7).

24.) To factor this expression, we notice that the 2x2 and the 14 have a common factor of 2, so we can factor them out to get 2(x2 + 11x + 7). Then, we notice that the x2 and the 7 have a common factor of x + 1, so we can factor them out to get 2(x + 1)(x + 7).

25.) To factor this expression, we notice that the x2 and the -63 have a common factor of x + 9, so we can factor them out to get (x + 9)(x - 7).

26.) To factor this expression, we notice that the 3x2 and the 7 have a common factor of 3x + 7, so we can factor them out to get 3(x + 1)(x - 2).

Answer: x= -1  y= -5

Step-by-step explanation: Multiply by 2 to eliminate the x

4x - 10y = 46

-4x + 5y  = -11

-5y = 35

 y= -5

Put -5 back in the equation for the letter y, and you will get x = -1

Answer:

x = -3, y = 28

Step-by-step explanation:

-5x + y = 13

y = 13+5x

-3x+3(13+5x)=3 substitute

-3x + 39 + 15x = 3

12x + 39 = 3

12x = -36

x = -3

-5(-3) + y = 13 substitute into -5x+y=13

15 + y = 13

y = 28

A game that has an equal probability of winning or losing is said to be fair.

What is probability ?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

The foundational elements of fair play can be observed and learned both on and off the field, and include honesty, solidarity, tolerance, care, excellence, and joy. Fair competition, respect, camaraderie, team spirit, equality, and sport without doping are also examples.

A simple game of chance is deemed fair if there is an equal chance of winning for each player. If there is an equal chance of selecting each alternative, the decision is fair. Your understanding of probability can help you evaluate the fairness of games and make just decisions.

Children love playing together more when everyone is being fair. Additionally, it plays a significant role in getting along with people.

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Analyzing the graph of the linear equation, we can see that for 1.4 grams of chemical A you will need 1.2 grams of chemical B.

The amounts of chemicals A and B needed are modeled by the linear equation on the graph.

Here we want to see how much of chemical B is needed if we decide to use 1.4g of chemical A.

Chemical A is on the horizontal axis, so we need to find 1.4 on the horizontal axis, and then move upwards until we reach the linear equation, and then move to the left until we reach the vertical axis.

Doing that we can see that we will need 1.2 grams (3 little squares in the vertical axis) of chemical B.

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The $25 represent the constant for the equation y=25+5h where she lawns for $25 each lawn, plus $5 for every hour she spends mowing.

A constant is a value or number that is consistently the same regardless of how it is expressed. For instance, in the a forementioned figure, when its face value is 36 and 82 respectively, 36 and 82 remain constant. Its worth remains constant. A constant in mathematics is a particular number or symbol that has been given a stable value. In other words, a constant is an expression-unchanging value or integer. It always has the same value.

Here,

The $25 serves as the constant in the equation y=25+5h, where she charges $25 for each lawn she mows and an additional $5 per hour.

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Answer:

a1=3 ;a2=12 ;a3=27 ;a4=48 ;a10=300

Step-by-step explanation:

an=3n^2

a1=3(1)^2

a1=3

a2=3(2)^2

a2=12

a3=3(3)^2

a3=27

a4=3(4)^2

a4=48

a10=3(10)^2

a10=300

Answer:

6x + 1

Step-by-step explanation:

When you are finding the perimeter of any shape, you will combine the measurements of each side together. Note any variables when combining. They must have the same amount of the same variables to be combined:

[tex]P = (2x + 1) + (3x) + (x)\\P = (2x + 3x + x) + 1[/tex]

Combine like terms. Add 3x, 2x and x together:

[tex]P = (2x + 3x + x) + 1\\P = (6x) + 1\\[/tex]

The perimeter of the triangle is 6x + 1.

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Answer:

-x2 y

Step-by-step explanation:

For the construction of an inscribed circle the required construction that must be known is the angle bisector. The correct option is (A).

The angle bisector is a line that divides an angle into two equal parts. For a circle inscribed in a triangle the line joining the center to the vertex is the angular bisector of the interior angle.

The diagram for the given case can be drawn as follows,

For the circle inscribed in the circle, all the sides are tangents.

By the property of tangents to a circle ∠ODB and ∠OFB are right angles.

Now, in ΔODB and ΔOFB the relation is obtained as,

∠ODB = ∠OFB  (right angles)

OB = OB           (Common sides)

And, OD = OF  (radius of the circle)

⇒ ΔODB ≅ ΔOFB (by RHS criteria)

This implies that ∠ODB ≅ ∠OFB.

Thus, the line joining the centre and the vertex of triangle bisects its angles.

Hence, for the given case the required construction to be known is the angle bisector of triangle.

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