Is 1250mL or 1.25 L bigger

The following ordered pair is given as {(1, -1), (2,0), (3,1)} for the given data of movement of arrow.

A set comprises elements or members that can be mathematical objects of any sort, including numbers, symbols, points in space, lines, other geometric forms, variables, or even other sets. A set is the mathematical model for a collection of various things.

An ordered pair consists of two items. The order of the objects in the pair matters because, unless a = b, the ordered pair differs from the ordered pair. Ordered pairs are also known as 2-tuples, or 2-length sequences.

An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence. In order to understand a point visually, it might be helpful to position it on the Cartesian plane. An ordered pair's numerical values may be fractions or integers.

The following ordered pair is given as {(1, -1), (2,0), (3,1)} for the given data of movement of arrow.

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Answer:

D

Step-by-step explanation:

The percent of the field goals did Samuel make will be 77.5%.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100. The percentage therefore refers to a component per hundred. Per 100 is what the word percent means. It is represented by %.

Samuel made 31 out of 40 field goals during football practice. The percent of the field goals did Samuel make will be:

= 31 / 40 × 100

= 77.5%

The percentage is 77.5%.

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P(X < 4) = 0.8059

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.

In this problem we have that:

In which

P(X < 4) = 0.8059

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Answer:

His shifts were 1 hour each

Step-by-step explanation:

If Oliver worked a total of 14 hours in a span of 14 shifts, that would mean he worked 1 hour per shift because 1(14) = 14.

14/14 = 1 hour

Answer:

x =1.28571428571

Step-by-step explanation:

6x + 2y = -10

y = -4x - 8

6x + 2(4x - 8) = -10

6x + 8x - 8 = -10

14x - 8 = 10

(we put together the like terms)

14x = 10 + 8

14x = 18

x =  \(\frac{18}{14}\)

x = 1.28571428571

Answer:

444

Step-by-step explanation:

13 + 34 + 25 + 10 + 8 = 90

10/90 * 4000 = 444

Answer: You will expect 444 white cars passed by.

Step-by-step explanation:

The are 5 different colors so we need to find the probability of white cars.

There are 10 white cars But we need to find the total number of cars in all.

13+34+25+10+8 = 90

so the probability of a white car passing by is 25/90 = which reduces to 10/90  

Now multiply 1/9 by 4000.

1/9 * 4000  =  444

Answer:

a) 2 x 10^3

b) 5 x 10^-6

Step-by-step explanation:

Answer:

\(\boxed{\boxed{\sf 13}}\)

Step-by-step explanation:

\(\sf 2\sqrt{25} +3\)

Calculate the square root of 25 → 5

\(\longmapsto\sf 2\times 5 +3\)

Multiply 2 and 5 → 10

\(\longmapsto\sf 10+3\)

Add 10 and 3 → 13

\(\longmapsto\sf 13\)

____________________________

Answer:

This will be rational.

Step-by-step explanation:

Keep in mind that a rational number is (of a number, quantity, or expression) expressible, or containing quantities that are expressible, as a ratio of whole numbers. When expressed as a decimal, a rational number has a finite or recurring expansion.

-f(x) mean that functions in the x- axis are swapped from right to left on the graph.

A negative function is simply a function having its values all negative (i.e., f(x) < 0).

The domain rather known as the inputs of the function can be positive(+), but every output that is, the y-value must be less than zero.

A negative function has values that are negative for its domain.

It is important to note that;

Thus, -f(x) mean that functions in the x- axis are swapped from right to left on the graph.

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The function with the greatest rate of change are:

1. C = 3

2. A = 5

3. A = 1

4. B = 3

The rate of change of a linear function, also known as the slope of the line, represents the amount by which the output (y) changes for a given change in the input (x). In other words, it is the measure of how steep the line is.

The formula for the rate of change, or slope, of a linear function is:

slope = (change in y) / (change in x)

1. Rate of change for function A = change in y / change in x = 4/3

For B = 1/2

For C = 3/1 = 3

The function with the greatest rate of change is C = 3

2. Rate of change for function A = change in y / change in x = (10 - 5)/(1 - 0) = 5

For B = (12 - 8) / (3 - 1) = 2

For C = (6 - 3)/(1 - 0) = 3

The function with the greatest rate of change is A = 5

3. Rate of change for function A = change in y / change in x = 2/2 = 1

For B = (3 - 2)/(2 - 0) = 1/2

For C = 1/3

The function with the greatest rate of change is A = 1

4. Rate of change for function A = change in y / change in x = -1/3

For B = (10 - 1)/(4 - 1) = 3

For C = 2

The function with the greatest rate of change is B = 3

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The present value of payments at the end of each quarter of $245 for ten years with an interest rate of 4.35% compounded monthly is approximately $25,833.42.

To find the present value of the payments, we can use the present value formula for an ordinary annuity. The formula for the present value of an ordinary annuity is:
PV = PMT * ((1 - (1 + r)^(-n)) / r)

Where:
PV = Present Value
PMT = Payment amount
r = Interest rate per period
n = Number of periods

In this case, the payment amount is $245, the interest rate is 4.35% compounded monthly, and the number of periods is 10 years or 40 quarters (since there are 4 quarters in a year).

Let's plug in the values into the formula:
PV = $245 * ((1 - (1 + 0.0435/12)^(-40)) / (0.0435/12))

First, let's simplify the exponent part:
(1 + 0.0435/12)^(-40) ≈ 0.617349

Now, let's plug in the values and calculate:
PV = $245 * ((1 - 0.617349) / (0.0435/12))
PV = $245 * (0.382651 / 0.003625)
PV = $245 * 105.4486339
PV ≈ $25,833.42

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Given:

The endpoints of the latus rectum at (-2, 3) and (-2, 15).

The directrix at x = 4.

To find:

The equation of the parabola.

Solution:

The equation of the parabola is:

\((y-k)^2=4p(x-h)\)                   ...(1)

Where, \(x=h-p\) is directrix and \((h+p,k\pm |2p|),p<0\) are the end point of the latus rectum.

The directrix at x = 4. So,

\(h-p=4\)               ...(i)

The endpoints of the latus rectum at (-2, 3) and (-2, 15). So,

\((h+p,k-|2p|)=(-2,3)\)

\((h+p,k+|2p|)=(-2,15)\)

Now,

\(h+p=-2\)              ...(ii)

\(k-2p=3\)              ...(iii)

\(k+2p=15\)           ...(iv)

Adding (i) and (ii), we get

\(2h=2\)

\(h=1\)

Putting \(h=1\) in (i), we get

\(1-p=4\)

\(-p=4-1\)

\(-p=3\)

\(p=-3\)

Putting \(p=-3\) in (iii), we get

\(k-|2(-3)|=3\)

\(k-6=3\)

\(k=3+6\)

\(k=9\)

Putting \(h=1,p=-3,k=9\) in (1), we get

\((y-(9))^2=4(-3)(x-1)\)

\((y-9)^2=-12(x-1)\)

Therefore, the required equation of the parabola is \((y-9)^2=-12(x-1)\).

(A) The above linear system's least squares solutions are x₁  = 1/7 and x₂ = 22/21.

(b) [-3/7, 11/21, -22/21] is the least squares error vector, and the least squares error is roughly 0.8571.

We can express the linear system in matrix form to get the least squares solutions:

A * X = B

Where X is the column vector of variables (x₁ and x₂), A is the coefficient matrix, and B is the column vector of constants.

The following is a rewrite of the provided linear system:

| 3 -1 | | x1 | | 4 |

| 1 -2 | * | x2 | = | 3 |

| 2 3 | | 2 |

Finding X that minimizes the error (residuals) between A * X and B is required in order to get the least squares solution (a). The standard equation can be solved to obtain the least squares answer:

A^T * A * X = A^T * B

Where A^T is the transpose of matrix A.

First, let's calculate A^T * A:

= | 3 1 2 | | 3 -1 | | 33 + 11 + 22 3(-1) + 1*(-2) + 2*3 |

= | 1 -2 |

= | 2 3 |

= | 14 -4 |

= | -4 14 |

Next, let's calculate A^T * B:

= | 3 1 2 | | 4 |

= | 3 |

= | 2 |

= | 17 |

= | 7 |

Let's now resolve the standard equation:

| 14 -4 | | x1 | | 17 |

| -4 14 | * | x2 | = | 7 |

Simplifying, we have:

14×1 - 4×2 = 17

-4×1 + 14×2 = 7

Solving this system of equations, we find:

x1 = 1

x2 = 2

So, the least squares solution of the given linear system is x1 = 1 and x2 = 2.

Consequently, x1 = 1 and x2 = 2 are the least squares solutions for the given linear system.

(b) We may determine the residuals by deducting A * X from B in order to obtain the least squares error vector and least squares error:

Residuals = B - A * X

Substituting the values, we have:

| 4 | | 3 -1 | | 1 |

| 3 | - | 1 -2 | * | 2 |

| 2 | | 2 3 | |

| 4 | | 3 - (-1) | | 1 | | 5 |

| 3 | - | 1 - (-2) | * | 2 | = | 2 |

| 2 | | 2 - 3 | | -1 |

The least squares error vector is therefore [5, 2, -1].

The norm (magnitude) of the least squares error vector can be used to determine the least squares error:

Least squares error = ||Residuals||

We obtain the following by applying the Euclidean norm (2-norm): Least Squares Error = (5 + 2 + (-1) + 2) = (25 + 4 + 1) = 30.

As a result, the least squares error is roughly 30.

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Answer:

the answer is yes it will

Answer:

yes

Step-by-step explanation:

since (x,y) is 2,6, we can take x as 2 and y as 6. For the answer to be yes, y=3x must be equal to the x and y values. Lets plug in the values. Is (6)=3(2)?

3 times 2 is 6! So the answer is yes.

Answer: 2.2 mph

Step-by-step explanation:

there's 60 minutes in an hour so you multiply the 1.1 miles to get how many miles they would walk in an hour.

Answer:

25 MP3 downloads

Step-by-step explanation:

If he starts off with $50 then these are the steps

$50 - $1.50 = $48.50 for 1 MP3

$48.50 - $1.50 = $47.00 for 2

$48.50 - $1.50 = $45.50 for 3

then repeat that until we have $12

it doesnt give us exactly $12 but it gives us $12.50 reminder

So he can but 25 MP3 downloads and still have at least $12 remining

Hope this helps plz give me brainliest I worked really hard

Answer:

1) 27.374

2)9.177

Step-by-step explanation:

1) To get the value of x , we use the appropriate trigonometric ratio

From what we are given;

we have the hypotenuse ( the side facing the right angle) and the adjacent

The trigonometric identity to use here is the cos

The cos of an angle is the ratio of the adjacent to the hypotenuse

cos 64 = 12/x

x = 12/cos 64

x = 27.374

2) Here, we are given the hypotenuse and the opposite

The trigonometric ratio to use here is the sine

the sine of an angle is the ratio of the opposite to the hypotenuse

thus, we have it that;

sin 35 = x/16

x = 16 sin 35

x = 9.177

Answer:

Step-by-step explanation:

To find 5e. El change, find the difference between week 1 and 1.

56.92-(-16.54) = 56.92+16.54 = -73.46.

Note: this is negative, because we are calculating the difference.

Hope this helps

The expression can be written as 5¹/₂₅.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the number is 5 and 1 over 25. The mixed fraction can be written as:-

E = 5 and 1 over 25

E = 5¹/₂₅.

Therefore, the expression can be written as 5¹/₂₅.

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1 milligram = 0.001 gram

x milligrams = 6 grams

By crossmultiplying, it becomes

0.001 * x = 6 * 1

0.001x = 6

x = 6/0.001

x = 6000

The mass in milligrams is 6000 milligrams

Answer:

33

Step-by-step explanation:

Supplementary angles add up to 180 degrees. So, 4x + (x+15) = 180

5x+15=180

5x=165

x=33

Answer:

do you watch brent rivera

Step-by-step explanation:

neneen

As the radius of convergence is infinite, the interval of convergence is (-∞, ∞).

The power series of the given function is to be determined with the help of Maclaurin's series, as the center of the series is zero, and the series expansion around zero is also known as Maclaurin's series.The function g(x) is given byg(x) = 8x / (x² + 6x - 7)g(x) = 8x / [(x + 7)(x - 1)]Partial fraction decomposition of the function g(x) is given by8x / [(x + 7)(x - 1)] = A / (x + 7) + B / (x - 1)8x = A(x - 1) + B(x + 7)Putting x = 1, 8 = 8A, A = 1Putting x = -7, -56 = -8B, B = 7g(x) = 1 / (x + 7) - 7 / (x - 1)The above function can be written in the form of a power series asg(x) = 1 / (x + 7) - 7 / (x - 1) = ∑(−1)^n [8x^(n+1) - 7(−7)^n x^(n+1)]/(n + 1) + Cn = 0

The interval of convergence of the series can be determined as follows:The radius of convergence of the series is given byR = lim|an / an+1| = lim|[-7(−7)^n (n + 2) / 8]|= ∞

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The  store manager reports estimated margin of error is  ±18.45 dollars and the sample mean is 62.52.

To find the estimated margin of error, we first need to calculate the half-width of the confidence interval. The half-width is calculated by subtracting the lower limit of the interval from the upper limit and then dividing by 2:

Half-width = (Upper limit - Lower limit) / 2

In this case, the upper limit is 80.97 and the lower limit is 44.07. So, the half-width is:

Half-width = (80.97 - 44.07) / 2 = 18.45

This means that the estimated margin of error is ±18.45 dollars.

To find the sample mean, we take the average of the upper and lower limits of the confidence interval:

Sample mean = (Upper limit + Lower limit) / 2

In this case, the sample mean is:

Sample mean = (80.97 + 44.07) / 2 = 62.52

Therefore, the store manager estimates that the mean price for the population of textbooks is $62.52, with a margin of error of ±18.45 dollars at a confidence level of 95%.

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The elevation of the hole relative to ground level is 23,956 feet.

Elevation:

The height to which something is elevated: such as. : the angular distance of something (such as a celestial object) above the horizon. : the degree to which a gun is aimed above the horizon. : the height above the level of the sea: altitude.

Here we have to find the elevation of the hole relative to ground level after digging for 212 hours.

Data given:

Rate of digging the hole = is 113 feet every hour

Time = 212 hours

Elevation of ground level = 0

Elevation = digging rate × number of hours

                = 113 × 212

                = 23,956 feet

Therefore the elevation is 23,956 feet.

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