help me out please
answers:
-2/3
3/2
-3/2
2/3

The same trip will be 8 hours long if you traveled at 10 mph

Variation is a concept that deals with variability or change in mathematics. Variation is defined as any change in some quantity due to a change in another

Given: The time T it takes to travel some distance varies inversely with the rate r of travel. This implies:

T α 1/r

T = k/r    where k is the constant of proportionality

if it takes 2 hours to get somewhere traveling 40 mph. Then:

2 = k/40

k = 2 x 40 = 80

How long would the same trip take you instead if you traveled 10 mph will be:

T = k/r

T = 80/10

T = 8 hours

Therefore, the same trip take you 8 hours if you traveled 10 mph

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The equation of circle for both the parts will be as,

(a)  (x-3)² +(y-2)²= 4

(b)   x²+y² = 1

What is circle?

A circle may be a form consisting of all purposes in a very plane that ar at a given distance from a given point, the centre. Equivalently, it's the curve copied out by a point that moves in a very plane so its distance from a given point is constant.

Main Body:

(a) When the circle is offset from the origin, the equation for the radius gets messy. In general, it will be the root of a quadratic equation in sine and cosine, not easily simplified. The Cartesian equation is easier to write.

 Circle centered at (h, k) with radius r:

 (x -h)² +(y -k)² = r²

The given circle is ...

 (x -2)² +(y -2)² =2²

 (x -2)² +(y -2)² = 4

__

(b) When the circle is centered at the origin, the radius is a constant. The desired circle is most easily written in polar coordinates:

x²+y² = 1

Hence the equation of circle is such.

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Answer: none of the above

Explanation: as it's - -8/-4 it means the answer is negative which none of the answers provided are so it's none of the above

Both of those probabilities decrease, hence Option (B) is the correct answer.

Given, the number of tosses of a fair coin goes up from 10, to 100, to 1,000 and to 10,000.

we have to find the effect on the probability of getting exactly 50% heads.

In 10 tosses,

we have to get heads 5 times,

P(X = 5) = (1/2)^5(1/2)^5

P(X = 5) = (1/2)^10

In 100 tosses,

we have to get heads 50 times,

P(X = 50) = (1/2)^50(1/2)^50

P(X = 50) = (1/2)^100

and so on.

It is clear that the probability of getting 50% heads decreases.

Also, Probability of getting heads between 40% and 60% decreases.

Hence, both of those probabilities decrease.

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The time series plot is attached below

The parameters for the line that minimizes mse for this time series 119.714 - 4.9286t

What is time series ?

A time series is a group of data points that have been indexed chronologically in mathematics. A time series is most frequently a sequence captured at a series of equally spaced moments in time. As a result, it is a collection of discrete-time data.

These four elements are: -Secular trend, which describes movement over time; -Seasonal variations, which depict seasonal changes; -Cyclical fluctuations, which relate to periodic but not seasonal variations; -Irregular variations, which are additional nonrandom sources of variations in series.

t' = 28 / 7

 = 4

Y' = 700 / 7

   = 100

∑(t - t') (y - y') = -138

∑(t - t')² = 28

b1 = -138 / 28

    = -4.9286

b0 = Y' - b1t'

    = 100 - (-4.9286*4)

    = 119.714

[tex]T_{t}[/tex] = 119.714 - 4.9286t

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The chi-square distribution serves as the sampling distribution for the goodness of fit test since it quantifies how well the distribution derived from the data fits the empirical distribution.

The sampling distribution is the probability distribution of a statistic that is obtained by repeated sampling of a certain population. The mean or mode of a population's mean or mode of a variable is one example of the many different choices for a statistic that are described in this passage. The sampling distribution of a proportion is obtained by repeating your survey or poll for each possible sample of the population. For instance, instead of asking 1,000 cat owners what cat food they prefer, you could conduct a number of polls.

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The vertex of the function is transformed from (-4,0) to (4,0). The expression will be transformed from f(x) = −2|x + 4| to h(-x) = -2|-x + 4|.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the absolute function is f(x) = −2|x + 4|. The transformed function is calculated as,

f(x) = −2|x + 4|

h(-x) = −2|-x + 4|

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[tex]\cfrac{x^2-4x-45}{x+6}\div\cfrac{x^2-3x-40}{x+6}\implies \cfrac{x^2-4x-45}{~~\begin{matrix} x+6 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }\cdot \cfrac{~~\begin{matrix} x+6 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }{x^2-3x-40} \\\\\\ \cfrac{x^2-4x-45}{x^2-3x-40}\implies \cfrac{(x-9)~~\begin{matrix} (x+5) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{(x-8)~~\begin{matrix} (x+5) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies \cfrac{x-9}{x-8}[/tex]

The probability of the total being equal to 8 is 1/9 or 11.11%.

To calculate this probability, we must first calculate all the possible combinations of two six-sided dice that add up to 8. Since both the dice are showing an even number, the possible combinations are (2, 6), (4, 4), and (6, 2). the total number of possible combinations for two six-sided dice is 36 (6 x 6). Therefore, the probability of the total being equal to 8 is 3/36 or 1/9 or 11.11%.

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For the function that is locate any absolute extreme points over the given interval  h (x) - x 3 - 5x2 - 6x, 10 a we get absolute maximum for x and y  (-0.380, 0.488) (10, 350) and  absolute minimum for x and y (-2, -22) and (4.38, -52.924)

Both critical point lies in domain -2 [tex]\leq[/tex] n [tex]\leq[/tex] 10. We know that h (n) is not define at both side of interval end point so n = -2 and n = 10 are critical point,

The critical point are point where f(n) is defined and its derivative is zero or undefined.

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Demand elasticity came in at -4.6154. The actual markup was 0.2167 as opposed to the desired markup of 0.5789. The increase was therefore not profitable.

A number is split in division, which is a straightforward procedure. The simplest way to conceptualize it is as a set of things being distributed among a set of individuals, as in the example given above. In mathematics, division is the process of dividing a number into equal parts and calculating the maximum number of equal parts that may be formed. For instance, dividing 15 by 3 results in the division of 15 into 3 groups of 5 each.

Here,

The demand elasticity,

=[(Q1-Q2)/(Q1+Q2)] / [(P1-P2)/(P1+P2)]

[(8000-5000)/(8000+5000)] / [(9.5-10.5)/(9.5+10.5)]

[(3000/13000)] / [-1/20}

60000/-13000

=-4.6154

The desired markup,

(9.5-4) / 9.5

= 0.5789

The actual markup,

1/4.6154

= 0.2167

The demand elasticity was -4.6154. The desired markup was 0.5789 and actual markup was 0.2167. Hence, The increment was not profitable.

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The probability that at least one of them is a 1 is 0.2778 when a fair set of dice is thrown and the total of the numbers falling above them is even.

Given that,

A fair set of dice is thrown.

We have to find given that the total of the numbers falling above them is even, what is the probability that at least one of them is a 1.

We know that,

A fair set of dice is thrown.

The total of the numbers falling above them is even.

The probability that at least one of them is a 1 is

(5/36)/(8/36)

5/18

0.2778

Therefore, The probability that at least one of them is a 1 is 0.2778 when a fair set of dice is thrown and the total of the numbers falling above them is even.

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The mathematical program will help the user to provide the data on the Excel sheet and solve accordingly.

The mathematical program to minimize the total cost of constructing the wastewater treatment plants can be expressed as follows:

Minimize z = 50x1 + 100x2 + 100x3 + 50x4 + 50x5 + 100x6 + 100x7

Subject to:

x1 + x2 + x3 + x4 + x5 + x6 + x7 <= 4 (1)

x1 + x2 + x3 + x4 + x5 + x6 + x7 >= 1 (2)

x1 + x4 <= 1 (3)

x2 + x4 <= 1 (4)

x3 + x4 <= 1 (5)

x4 + x5 <= 1 (6)

x4 + x6 <= 1 (7)

x4 + x7 <= 1 (8)

x1, x2, x3, x4, x5, x6, x7 are binary variables (i.e. they can only take on the values 0 or 1)

The objective function (1) minimizes the total cost of constructing the wastewater treatment plants, where the cost of constructing a plant in each city is given in the table. The constraints (2)-(8) ensure that at most four wastewater treatment plants are constructed and that each city is served by at most one wastewater treatment plant.

To solve this problem with Excel, we can create a spreadsheet with columns for the names of the cities, the corresponding costs of constructing a wastewater treatment plant, and the binary variables x1, x2, x3, x4, x5, x6, x7. We can then use Excel's solver tool to minimize the objective function subject to the constraints. The solver tool can be found under the Data tab in the Analyze group.

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Oliver and his little brother will have an additional shot of 11shots and they both have 38points

Simultaneous equations are two or more algebraic equations that share variables e.g. x and y . They are called simultaneous equations because the equations are solved at the same time. For example, below are some simultaneous equations: 2x + 4y = 14 and 4x − 4y = 4.

Represent the number of additional shot made by the brothers as x and the common point made by both of them be y

therefore,

16+2x=y equation 1

27+x= y equation 2

subtract equation 1 from 2

11-x= 0

therefore x= 11

substitute 11 for x in equation 2

y = 27+ 11

y= 38

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The reciprocal of 1 5/9 is 9/14 and the reciprocal of 9/14 is 14/9.

The multiplicative inverse of a number is referred to as the reciprocal.

In other words, 1 divided by a number is the definition of the reciprocal.

Any given number multiplied by its reciprocal will always yield the value 1.

If x is any real number, then 1/x will be the reciprocal of that number.

For instance, 1/8 is the reciprocal of 8, which is 1 divided by 8.

So, the reciprocal of the fractions is:

(A) 1 5/9

9+5/9

14/9

Reciprocal: 9/14

(B) 9/14

Reciprocal: 14/9

Therefore, the reciprocal of 1 5/9 is 9/14 and the reciprocal of 9/14 is 14/9.

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There are several different ways that Brad could arrange the blocks to create an array with the same number of blocks in each row. For example, he could create a 3x6 array by arranging the blocks into three rows of six blocks each. Alternatively, he could create a 6x3 array by arranging the blocks into six rows of three blocks each. He could also create a 2x9 array by arranging the blocks into two rows of nine blocks each. Or he could create a 9x2 array by arranging the blocks into nine rows of two blocks each

TL;DR: 3x6, 6x3, 2x9 and 9x2.

The three stages of an annealing process in the sequence is  recovery, recrystallisation, and gain growth.

Sequence:

In math, a series is defined as the sum of the elements of a sequence.

Given,

Here we need to find the are the three stages during annealing when  an annealing process is provided for the sample after cold work.

In order to find the stages of the annealing process, first we have to know the definition of annealing process,

A process which is used to enhance ductility and counter the increase in hardness by cold working is known as annealing.

This one is to deal with residual stresses we first can reheat the glass to a high temperature known as annealing point and let it cool slowly so that the outside and inside cool at about the same rate.

And the resultant will have little to no residual stresses making annealed glass.

In the first stage recovery stage of annealing recovers the physical properties of the metals.

Second stage is recrystallisation, and gain growth.

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Answer:

i need points

Step-by-step explanation:

The simplest form expression for the addition of the fractions given using the lowest common multiple of the denominator is 2/3.

A fraction is a numerical value that is a part of a whole. It is evaluated by dividing a whole into a number of parts.In Mathematics, a fraction is defined as a part of the whole thing.  For example, ½ represents half of a whole number or a thing

Given the fractions :

1/4 + 5/12

The lowest common multiple of the denominator ;

A lowest common multiple of 4 and 12 = 12

1/4 + 5/12 = (3 + 5) / 12

1/4 + 5/12 = 8/12

Expressing in simplest form :

8/12 = 2/3

Therefore, the simplest form expression of the addition is 2/3

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Answer:

C

Step-by-step explanation:

length = 17 + width/2

2×length = 34 + width

width = 2×length - 34

area of a rectangle

length × width = length × (2×length - 34) =

= 2×length² - 34×length

which is the answer option C.

The function which defines the total sales done by Samantha in 'x' number of weeks is: f(x) = 475 + 5x/100.

As per the stated question-

Weekly pay of Samantha = $475.

Sales percentage = 5% of the sales.

Let 'x' be the sales done for the week.

Then, function models for the pay of the week.

f(x) = 475 + 5%x

f(x) = 475 + 5x/100

Thus, the function which defines the total sales done by Samantha in 'x' number of weeks is: f(x) = 475 + 5x/100.

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Answer: 26%

Step-by-step explanation:

23 + 52 + 34 + 61 + 30 = 200

do 52/200 because theres 52 gumballs and times it by 100

52/200 x 100 = 26% on calculator

Answer: y=20x

Step-by-step explanation: 40/2=20, 80/4=20, etc.

There are 20 per every-one

Answer:

-2x + 8

Step-by-step explanation:

(2x - 6) is subtracted from (7 - 5).

First term that into an equation.

Because our first term is being subtracted from our second one, our equation is written as:

(7 - 5) - (2x - 6).

Simplify the first term by subtracting:

7 - 5 = 2

Now simplify the second term by multiplying 2x - 6 by -1 to get them out of the parenthesis. We do this because there is a negative sign in front of it.

-1 (2x - 6)

-2x + 6

Now our equation is:

2 - 2x + 6

Combine like terms:

2 + 6 = 8

So -2x + 8

(2x - 6) subtracted from (7 - 5) is -2x+8

The inequality that can be used to represent the number of miles, x, Jaime could bicycle on the 4th week to meet his goal is 240 + 310 + 320 + x ≥ 4 (280).

What is inequality?

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other.

For the next four weeks, Jaime wants to log at least 280 miles per week on average. Jamie's objective can be graphically expressed by the inequality: T4, or alternatively T 4 if T is the total number of miles he will pedal his bicycle for four weeks (280).

The sum of the distances Jamie has covered and has yet to cover is the total number of miles Jamie will cycle during this time. Hence,  T = 240 + 310 + 320 + x. Replacing this term into the inequality T ≥ 4(280) gives 240 + 310 + 320 + x ≥ 4(280). Therefore, choice D is the correct answer.

Thus, the correct answer is  240 + 310 + 320 + x ≥ 4 (280).

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Answer: 36

Step-by-step explanation:

Since all triangle angles add up to 180 we just add up both the angle measure we know and then subtract by 180.

54+90=144

180-144=36

The acute angle measure is 36 degrees.

answer:

36 degrees

step-by-step explanation:

all the angles of a triangle add up to be 180 degrees. so subtract 90 and 54 degrees to get the answer. hope that helps!

Crickets must have been introduced at the lambda = 2 is 20.

Given:

you observe 40 crickets on an island after crickets were first introduced 2 years ago ,  at the lambda = 2 how many number of crickets must have been introduced .

Let x be the crickets must have to been introduced.

Number of crickets = observed crickets / lambda value

we know that,

Observed crickets = 40

lambda value = 2

substitute these values

Number of crickets = observed crickets / lambda value

= 40 / 2

= 20 crickets.

Therefore Crickets must have been introduced at the lambda = 2 is 20.

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Full question:

you observe 40 crickets on an island after crickets were first introduced 2 years ago. at lambda = 2 how many crickets must have been introduced?