What was the point of intersection on the graph as a coordinate? Thanks.

Answer:

x=180-x

2x=180

x=90

Step-by-step explanation:

Answer:2

Step-by-step explanation:1+1*1 is 2 there for this is the answer to life

ACtualy that is 42

Answer:

13) 23/4 14) 13/2 15) 6 1/2 16) 2 7/12

Step-by-step explanation:

13) (4 x 5) + 3 = 23 -> 23/4

14) (2 x 6) + 1 = 13 -> 13/2

15) 13/2 = 6.5, then take the number on the left of the decimal so, 6, as your whole number. After that, multiply it by the denominator so 6 x 2 = 12, then subtract the 12 with the numerator given in the improper fraction so, 13-12 = 1. The answer you get (which is 1 in this case) will be your numerator in for the mixed fraction. -> 6 1/2

Note: the denominator always stays the same

16) 31/12 = 2.58... take the 2 as your whole number.

2(whole number) x 12(denominator) = 24

31 - 24 = 7

= 2 7/12

Answer:

first one I am thinking 6.52 and the second one I am thinking 6.67

Step-by-step explanation:

Hope this Helps!!!

1 kilogram is equal to approximately 2.205 pounds (lbs).

Pounds are defined as the unit of weight of an object. This type of weighing in pounds is generally used in Britain.

It is also denoted as Lb or Lbs in short.The full form of Lb is Libra which is a Latin word meaning balance or scales. It also stands for the ancient Roman unit of measure “libra pondo” which means “a pound by weight.”

Pounds (lb) and kilograms (kg) are two of the most commonly used units to measure the mass of a specific body.

Therefore, accurate conversion between these two is very essential and important for accurate trade, engineering, and science study.

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Step-by-step explanation:

Divide each term in 3x = 1 by 3

3x/3 = 1/3

cancel the common factor of 3

x = 1/3

decimal form

0.3

the orthogonal matrix for an unknown scalar α so its determinant is 1. then the value of unknown α=-1

We are aware that the number of rows and columns in a square matrix is equal. If the transpose of a square matrix with real numbers or elements equals the inverse matrix, the matrix is said to be orthogonal. Or, we may argue that a square matrix is an orthogonal matrix if the product of the square matrix and its transpose results in an identity matrix.

We know that AA'=I

\(\left[\begin{array}{ccc}7&0&a\\0&b&0\\-12&0&c\end{array}\right] \left[\begin{array}{ccc}7&0&a\\0&b&0\\-12&0&c\end{array}\right] =\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right]\)

so, after computing a= 4 , b=1 and c =-7

and the value of unknown α=-1

The complete question is :-

Complete the orthogonal matrix for unknown a so its determinate is 1.

O = a[[7,0,?][0,?,0][-12,0,?]]

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the volume in the first octant bounded by\(y^2=4−x\) and y=2z is pi/36 sqrt(3).

(1) To find the volume in the first octant bounded by the surfaces \(y^2 = 4 - x\) and y = 2z, we can set up a triple integral in cylindrical coordinates.

First, we need to determine the bounds for our variables. Since we are working in the first octant, we know that 0 <= z, 0 <= theta <= pi/2, and 0 <= r.

Next, we need to find the equation for the upper and lower bounds of z in terms of r and theta. We can start with the equation \(y^2 = 4 - x\) and substitute y = 2z to get:

\((2z)^2 = 4 - x\)

\(4z^2 = 4 - x\)

\(x = 4 - 4z^2\)

We can then use this equation along with the equation z = y/2 to get the bounds for z:

\(0 < = z < = (4 - x)^(1/2)/2 = (4 - 4z^2)^(1/2)/2\)

Squaring both sides, we get:

\(0 < = z^2 < = (1 - z^2)/2\)

\(0 < = 2z^2 < = 1 - z^2\)

\(z^2 < = 1/3\)

So the bounds for z are:

\(0 < = z < = (1/3)^(1/2)\)

Finally, we can set up the triple integral in cylindrical coordinates:

V = ∫∫∫ r dz dtheta dr

with bounds:

0 <= r

0 <= theta <= pi/2

\(0 < = z < = (1/3)^(1/2)\)

and integrand:

r

So the volume in the first octant bounded by y^2=4−x and y=2z is:

V = ∫∫∫ r dz dtheta dr

= ∫ from 0 to\((1/3)^(1/2) ∫ from 0 to pi/2 ∫ from 0 to r r dz dtheta dr\)

= ∫ from 0 to\((1/3)^(1/2) ∫ from 0 to pi/2 r^2/2 dtheta dr\)

= ∫ from 0 to\((1/3)^(1/2) r^2 pi/4 dr\)

\(= pi/12 (1/3)^(3/2)\)

= pi/36 sqrt(3)

Therefore, the volume in the first octant bounded by\(y^2=4−x\) and y=2z is pi/36 sqrt(3).

(2) To find the volume bounded by z = x^2 + y^2 and z = 4, we can use a triple integral in cylindrical coordinates.

First, we need to determine the bounds for our variables. Since we are working in the region where z is bounded by \(z = x^2 + y^2\) and z = 4, we know that 0 <= z <= 4.

Next, we can rewrite the equation \(z = x^2 + y^2\) in cylindrical coordinates as \(z = r^2.\)

So the bounds for r and theta are:

0 <= r <= 2

0 <= theta <= 2pi

And the bounds for z are:

\(r^2 < = z < = 4\)

Finally, we can set up the triple integral in cylindrical coordinates:

V = ∫∫∫ r dz dtheta dr

with bounds:

0 <= r <= 2

0 <= theta <= 2pi

\(r^2 < = z < = 4\)

and integrand: 1

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(a) To compute the probability that the ice climber makes it to the summit, we can use the concept of a Markov chain. We define two states: S0 represents the current state of being 1 foot above the cliff, and S1 represents the state of reaching the summit. The transition probabilities between these states are: P(S1|S0) = 0.3 (successful step) and P(S0|S0) = 0.7 (slide back).

To compute the probability of reaching the summit, we can set up the equations for the probabilities of being in each state after each step. We start with P0(S0) = 1 and P0(S1) = 0. Then, iteratively, we compute Pn(S0) = 0.7 * Pn-1(S0) + 0.3 * Pn-1(S1) and Pn(S1) = 0.7 * Pn-1(S0) + 0.3 * Pn-1(S1). The probability of reaching the summit can be obtained as the limit of Pn(S1) as n approaches infinity.

(b) To compute the expected number of steps the climber takes before she is done, we consider the transition probabilities and expected number of steps for each state. In S0, the probability of sliding back is 0.7, requiring one additional step, and the probability of reaching the summit is 0.3, requiring 0 additional steps. In S1, the probability of reaching the summit is 1, with 0 additional steps. We can set up the equation E(X) = 0.7 * (1 + E(X)) + 0 * 0.3, where E(X) represents the expected number of steps. By solving this equation, we can determine the expected number of steps before the climber is done.

In summary, we use a Markov chain to compute the probability of reaching the summit by setting up and solving equations for the probabilities of being in each state. For the expected number of steps, we consider the transition probabilities and expected steps for each state and solve an equation for the expected number of steps.

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Among the options provided, the synonym for the division operation is "C. per."

The word "per" is commonly used to indicate division in mathematical equations or word problems. For example, if you have a quantity A divided by a quantity B, it can be represented as "A per B" or "A/B."

The term "difference" refers to the result of subtracting one quantity from another and is not synonymous with division.

The term "decreased" suggests a reduction or subtraction, not division.

The term "combined" implies addition or bringing together, rather than division.

Therefore, "per" is the appropriate synonym for the division operation in mathematical equations and word problems.

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9105-4031= 5074

Step-by-step explanation:

please mark me as branliest

Answer:

you'll have to estimate 9,105 and 4,031

Step-by-step explanation:

9,105 is rounded to 9,000, nearest ten is 9,110, nearest 100 is 9100.

4,031 is rounded to 4000 in nearest thousand, nearest 10 is 4030, and nearest 100 is 4,000

i hoped this helped!!!

In the given problem, the sum of \(\frac{4}{6}\) and \(\frac{4}{6}\) is \(\frac{4}{3}\).

The sum is the result of adding two or more numbers or terms. In other words, it is the process of bringing two or more numbers together to produce a new result or total. The symbol for the sum is "+".

The sum can be performed on any kind of number, including whole numbers, integers, rational numbers, real numbers, and complex numbers. The rules for addition are the same for all types of numbers.

To find the sum of \(\frac{4}{6}\) and \(\frac{4}{6}\),

\(\frac{4}{6}\) +  \(\frac{4}{6}\) = 2 \(\times \ \frac{4}{6}\)

        = \(\frac{4}{3}\).

So, \(\frac{4}{6}\) +  \(\frac{4}{6}\) = \(\frac{4}{3}\).

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Answer:

choice a is correct i beleive

Step-by-step explanation:

Answer:

     f(2) = 6

Step-by-step explanation:

Given that the function

                 \(f(x) = \frac{x}{2} + 5\)

Put x=2

                \(f(2) = \frac{2}{2} + 5 = 1 +5 = 6\)

                 f(2) = 6

Answer:

(621.49 x  0.1) + 13.99 = x

Step-by-step explanation:

I hope this helps

The values for the sums are: a) 20, b) 11, c) 30, and d) -430.

Here are the values for each:

a) ∑_(k=1)^5 (k+1) = (1+1) + (2+1) + (3+1) + (4+1) + (5+1) = 2 + 3 + 4 + 5 + 6 = 20

b) ∑_(j=0)^4 (-2)^j = (-2)^0 + (-2)^1 + (-2)^2 + (-2)^3 + (-2)^4 = 1 - 2 + 4 - 8 + 16 = 11

c) ∑_(i=1)^10 3 = 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 = 30 (since there are 10 terms, each with a value of 3)

d) ∑_(j=0)^8 (2j+1 - 2^j) = ∑_(j=0)^8 (2j+1) - ∑_(j=0)^8 (2^j)
First, find the two separate sums:
∑_(j=0)^8 (2j+1) = 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 = 81
∑_(j=0)^8 (2^j) = 1 + 2 + 4 + 8 + 16 + 32 + 64 + 128 + 256 = 511
Now subtract the two sums: 81 - 511 = -430

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keeping in mind that a function doesn't have any X-repeats, namely the x-values in the set aren't repeated, let's check the sets above.

Check the picture below.

Answer: is D

Step-by-step explanation:

Answer: 0 = 70º

Step-by-step explanation: Solve sin(π/9) = cos(0) to find angles

Answer:

I = $ 0.74

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 4%/100 = 0.04 per year,

putting time into years for simplicity,

6 months ÷ 12 months/year = 0.5 years,

then, solving our equation

I = 37 × 0.04 × 0.5 = 0.74

I = $ 0.74

The simple interest accumulated

on a principal of $ 37.00

at a rate of 4% per year

for 0.5 years (6 months) is $ 0.74.

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The given statement, "In a contingency table, when all the expected frequencies equal the observed frequencies the calculated statistic equals zero" is true because when all the expected frequencies equal the observed frequencies, the calculated statistic equals zero.

A contingency table is a table used in statistics that shows the distribution of one variable in rows and another variable in columns. It is also known as a cross-tabulation table or a two-way frequency table. In a contingency table, expected frequencies are calculated based on the assumption that there is no association between the variables being analyzed.

Observed frequencies, on the other hand, are the actual frequencies of the data being analyzed. When all the expected frequencies in a contingency table are equal to the observed frequencies, it means that there is no association between the variables, and the calculated statistic equals zero. This is because the difference between the observed and expected frequencies is used to calculate the statistic, and if there is no difference, the statistic will be zero.

Therefore, the statement "In a contingency table, when all the expected frequencies equal the observed frequencies the calculated statistic equals zero" is true.

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If this is a sample of 4 scores, then By using the definitional formula, SS equals 5. Your answer: 5.

Using the definitional formula, SS can be calculated as:

SS = ∑(x - X)2

where X is the sample mean.

To find X, we can use the formula:

X = ∑x / n

where n is the sample size.

Given that ∑x = 22 and n = 4, we can calculate X as:

X = 22 / 4 = 5.5

Now, we'll plug these values into the formula:

SS = 126 - (22)² / 4

Calculate (∑x)² / n:

(22)² / 4 = 484 / 4 = 121
Now we can plug in the values into the formula for SS:

SS = ∑(x - X)2
  = (1-5.5)2 + (2-5.5)2 + (3-5.5)2 + (4-5.5)2
  = (-4.5)2 + (-3.5)2 + (-2.5)2 + (-1.5)2
  = 20.5

Therefore, SS equals 20.5.

So, using the definitional formula, SS equals 5. Your answer: 5.

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We get the Polynomials  quotient and remainder as 2x+7 and 5 respectively.

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.

A polynomial is an equation made up of coefficients and indeterminates that uses only the addition, subtraction, multiplication, and powers of positive-integer variables.

Polynomial long division is an extended variant of the well-known mathematical operation known as long division. It is an algorithm for dividing a polynomial by another polynomial of the same or lower degree. Due to the fact that it breaks down a more difficult division issue into simpler ones, it may be completed quickly by hand.

The polynomials are

2X^2 - X +16

and

x - 3

Dividing  by 2X^2 - X +16 BY x-3 = 2x + 7

We get the quotiant and remainder as 2x+7 and 5 respectively.

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Moving Average leads a trend, True. Mean Squared Error cannot be used to compare alternative forecasting methods, False. Delphi method uses multiple rounds for determining estimates, True.

True. Moving Average is a commonly used time series forecasting technique that calculates the average of a specified number of past data points to predict future values. It is known as a lagging indicator because it uses historical data to forecast trends. By smoothing out fluctuations in the data, moving averages provide a clearer picture of the underlying trend. Therefore, it can be said that moving averages lead a trend.

False. Mean Squared Error (MSE) is a measure used to assess the accuracy of a forecasting model by comparing its predicted values to the actual values. It calculates the average of the squared differences between the predicted and actual values. While MSE is a useful metric for evaluating the performance of a single forecasting method, it cannot be directly used to compare alternative forecasting methods.

This is because MSE values are scale-dependent, meaning they can vary depending on the units of measurement. In order to compare alternative methods, it is recommended to use other metrics like Mean Absolute Error (MAE) or forecasting accuracy measures such as Mean Absolute Percentage Error (MAPE).

True. The Delphi method is a forecasting technique that involves multiple rounds of gathering expert opinions to reach a consensus or determine estimates. In each round, a panel of experts provides their individual forecasts or opinions on a particular topic. These responses are collected, summarized, and fed back to the experts for further consideration. This process continues for several rounds until a convergence or consensus is reached.

The Delphi method is designed to harness the collective intelligence and expertise of a diverse group of experts while minimizing the influence of dominant individuals or group dynamics. The iterative nature of the Delphi method allows for refining and revising estimates based on feedback, resulting in a more reliable and accurate forecast.

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The complete question is:

Moving Average leads a trend. True/False

Mean Squared Error can be used to compare alterative forecasting methods. True/False

Delphi method  uses multiple rounds for determining estimates. True/False.

Answer:

y=

Step-by-step explanation:

Perpendicular means opposite reciprocal of the slope. This means that the slope would change from 2/5 to 5/2 and add a negative, so it is -5/2.

y=-5/2x+b

2=-5/2 (2) +b

7=b

y=-5/2x+7

According to the given quadratic equation  the sum of their pieces:

A. = 8x² + 2x + 10

B. 7x²- 7x -17

C.  incomplete information.

A quadratic equation is a third polynomial equation in one variable using the formula x = ax2 + bx + c = 0 and a 0. The fundamental theorem of algebra ensures that it has at least one solution because it is a second-order polynomial problem. Real or complex solutions are also possible.

In mathematics, the quadratic issue is any problem that involves multiplying a variable by itself, often known as "squaring." This terminology comes from the fact that a square's area is equal to its side length divided by itself. The Latin term quadrature, which means square, is where the word "quadratic" derives.

A. Lisha

= 3x² + 2x + 8

Makulata = 5x² + 2

Sum of the given equation:

=  (3x² + 2x + 8) + ( 5x² + 2)

=(3x² + 5x² +2x + 10)

= 8x² + 2x + 10

B.

= 4x + 6x² - 11x + 2 + x² - 19

= (6x² + x²) + (4x - 11x) + 2 -19

= 7x²- 7x -17

C. incomplete information.

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Answer:

Step-by-step explanation:

All the polygons that have four sides are quadrilateral.

Parallelogram is a special type of quadrilateral.

In parallelogram, opposite sides are equal and parallel and opposite angles are equal and the adjacent angles are supplementary.

So, parallelograms are always quadrilateral, as they have four sides

But quadrilateral are only sometimes as it doesn't always have the properties of parallelogram.

Answer:

yes

Step-by-step explanation: