1 and 3 are ___
angles.

1.corresponding
2.complementary
3.vertical
4.supplementary

Answer:

D. On a coordinate plane, heart 1 is shifted down 3 units to form heart 2.

Step-by-step explanation:

From the list of given options, the last option answer the question (see attachment for illustration)

The first option describes down and right shifts of the preimage of the heart

The second describes reflection

The third describes rotation

Only option 4 describes down shifting and it was shifted by exactly 3 units as stated in the question.

Answer:

D. i just took the unit test

Step-by-step explanation:

Answer:

the average temperature at the south pole is -49.62 c, and the average temperature at the north pole is -34.68 c.

Step-by-step explanation:

The average temperature of the north pole is 14.94 °C higher than the south pole.

To subtract in mathematics is to take something away from a group or a number of objects.

The group's total number of items decreases or becomes lower when we subtract from it.

Given that,

The average temperature of the north pole = -34.68 °C

The average temperature of the north pole = -49.62 °C

We know that in negative the lower numeric value will be higher.

For example -2 > -5.

Thus,  -34.68 °C >  -49.62 °C

Therefore,  (-34.68 °C) - ( -49.62 °C) = 14.94°C

Hence "The average temperature of the north pole is 14.94 °C higher than the south pole".

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Answer:

x = 1/26

Step-by-step explanation:

Distribute: -18x + 6 + 2 = 8x + 7

-18x + 8 = 8x + 7

-26x + 8 = 7

-26x = -1

x = 1/26

Biases in the nineteenth century influenced gender inequalities in research. Present-day biases continue to perpetuate societal inequalities.

This bias influenced researchers by shaping their perspectives and expectations, leading them to interpret and design experiments in ways that reinforced preconceived notions about women's abilities and limitations. It often resulted in biased methodologies, selective reporting of results, and the exclusion of data that contradicted the hypothesis.

In present-day society, we still encounter various biases that affect different groups of people. One example is gender bias, which manifests in unequal treatment and opportunities based on gender. Women continue to face challenges in areas such as career advancement, wage gaps, and representation in leadership positions. Another example is racial bias, which leads to disparities in areas such as criminal justice, education, and employment opportunities for marginalized racial and ethnic groups.

These biases can shape societal norms, influence decision-making processes, and perpetuate systemic inequalities. It is important to recognize and address these biases to create a more equitable and inclusive society.

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Answer:

ball$

Step-by-step explanation:

<3

The equilibrium constant can be determined using the concentrations of reactants and products at equilibrium. In this case, the initial concentrations of substances A, B, and C are given as [A] = 0.50 M, [B] = 0.75 M, and [C] = 1.2 M, while the equilibrium concentration of C is [C] = 1.0 M.

The equilibrium constant, denoted as K, is defined as the ratio of the product of the concentrations of the products to the product of the concentrations of the reactants, each raised to the power of their stoichiometric coefficients. In this case, the balanced chemical equation is not provided, so we cannot directly calculate the equilibrium constant.

To determine the equilibrium constant, we need the balanced chemical equation representing the reaction. Once the balanced equation is available, we can determine the stoichiometric coefficients and calculate the equilibrium constant using the concentrations at equilibrium. Without the specific reaction, we cannot provide a numerical value for the equilibrium constant.

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Troy should include $1,200 in gross income related to his gambling activities.

Nicci claimed the standard deduction, she can exclude the $720 refund from her gross income.

For Troy, the amount he should include in gross income related to his gambling activities is the net winnings, which is calculated by subtracting his losses from his winnings.

Net Winnings = Winnings - Losses

Net Winnings = $2,500 - $1,300

Net Winnings = $1,200

Therefore, Troy should include $1,200 in gross income related to his gambling activities.

For Nicci, if she claimed the standard deduction on her 2021 tax return, she does not need to include the state refund in her gross income. State tax refunds are generally not taxable if the taxpayer did not itemize deductions in the year for which the refund is received. Since Nicci claimed the standard deduction, she can exclude the $720 refund from her gross income.

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Discount is 0.354838, Discount percentage is 35.4838 %.

According to the question

A shop item is marked down from r 6.20 to r 4.

A discount is an amount that is subtracted from the regular price of an item.

Based on the given conditions

= \(\frac{6.2-4}{6.2}\)

Solving 6.2 - 4, we get 2.2

= 2.2/6.2

Discount = 11/31 = 0.354838

Percentage discount is a discount that is given to a product or service that is given as an amount per hundred. For example, a percentage discount of 20% would mean that an item that originally cost $100 would now cost $80.

Discount percentage = \(\frac{11}{31}\) × 100

= 35.4838 %

Hence,

Discount is 0.354838, Discount percentage is 35.4838 %.

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Answer:

steps below

Step-by-step explanation:

(a) first green: 8/23 AND 2nd green: 7/22

AND: multiplication.. 8/23 x 7/22 = 28/253 ≈ 0.11 (11%)

(b) 15/23 x 8/22

Answer:

p(3) = 25

Step-by-step explanation:

p(3) = 2(3 - 12)2+5

p(3) = 6 - 24 + 2 + 5

p(3) = 25

Answer:

\(x > - 5\)

Step-by-step explanation:

\(5-3x<20 \\ \\ -3x<15 \\ \\ x>-5\)

Therefore , the solution of the given problem of expressions function comes out to be  4x³ - 23x² + 44x - 9 + 117/(x-3)

Instead of generating estimates at random, variable it is better to use movable numbers, which can be growing, decreasing, or blocking. They could only help one another by sharing tools, information, or solutions to issues equation. An assertion of truth might include defenses, elements, and notations for mathematical operations like additional rejection, synthesis, and mixture.

Here,

=> 3 | 4  -11  28  -15  6

The first coefficient, (4), is then lowered to the lowest row:

=>   3 | 4  -11  28  -15  6

    4

    -----

The outcome is then entered in the following column after being multiplied by the constant term of the divisor (-3), as follows:

=>   3 | 4  -11  28  -15  6

    4  -12

    -----

The two values in the second column are then added:

=>   3 | 4  -11  28  -15  6

    4  -12  16

    -------- Adding the outcome to the value in the rightmost column after the result:

=>   3 | 4  -11  28  -15  6

    4  -12  16  -27

    -------------

       4  -23  44

The remainder is represented by the bottom row's final number (44) while the other numerals in the bottom row (The quotient's factors are (4, -23, and 44). (in descending order of degree).

Consequently, we can write:

=> 4x³ - 23x² + 44x - 9 + 117/(x-3)

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Answer:

slope=3

Step-by-step explanation:

The number of minutes to fill the pool completely will be 42.86 minutes.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

A pool can be filled by one siphon in 50 moments and by one more in an hour long. A third siphon can deplete the pool in 75 moments. On the off chance that every one of the three siphons goes into activity at the same time.

Let "T" be the number of minutes to fill the pool. Then the number of minutes to fill the pool is calculated as,

(1/50) + (1/60) - (1/75) = 1/T

Simplify the equation, then we have

(1/50) + (1/60) - (1/75) = 1/T

7 / 300 = 1/T

T = 300 / 7

T = 42.86 minutes

The pool will take 42.86 minutes to fill.

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Answer:

\(\frac{5}{3} \\.3846153846\)

Step-by-step explanation:

The third-degree Taylor polynomial for f about x -2 is given by T)5.9(x-2)-3(x-2) (9 for all x in the interval [0,2]. The approximation for f(0) using T(x) is negative. f has a critical point at x =0.

Statement I and III are true thus the answer is I and II only (d).

We know that the third-degree Taylor polynomial for f about x = -2 is given by T(x) = 5.9(x + 2)^3 - 3(x + 2)^2 + 9.

Let's use the Taylor series expansion formula to evaluate the first derivative of f at

x = -2.T(x) = f(-2) + f'(-2)(x + 2) + f''(-2)(x + 2)^2/2! + f'''(-2)(x + 2)^3/3!

Comparing this to the third-degree Taylor polynomial, we can see that:

T(x) = f(-2) + f'(-2)(x + 2) + f''(-2)(x + 2)^2/2! + f'''(-2)(x + 2)^3/3!= 5.9(x + 2)^3 - 3(x + 2)^2 + 9

Therefore, we get the following equations:

f(-2) = 9f'(-2) = -3(2)(2 + 2)^2 = -96f''(-2) = 3(3)(2 + 2) = 36f'''(-2) = -3(4) = -12

Now, let's use the given polynomial to find the value of f(0):T(0) = 5.9(0 + 2)^3 - 3(0 + 2)^2 + 9

= 5.9(8) - 3(4) + 9= 47.2 - 12 + 9= 44.2

Therefore, the approximation for f(0) using T(x) is positive. Hence, statement I is not true.

Now, let's evaluate

f'(x):f'(x) = 3(5.9)(x + 2)^2 - 2(3)(x + 2) + 0= 17.7(x + 2)^2 - 6(x + 2)Thus, f'(0) = 17.7(2)^2 - 6(2)= 56.4 - 12= 44.4

Since f changes from positive to negative at x = 0, f has a critical point at x = 0.

Therefore, statement II is true.

Now, let's evaluate f''(x):f''(x) = 2(3)(5.9)(x + 2) - 2(3)= 35.4(x + 2) - 6

Thus, f''(0) = 35.4(2) - 6= 64.8

Since f''(0) is positive, (0) is positive. Therefore, statement III is not true.Overall, statements II and I are true, and statement III is not true. Therefore, the answer is d) I and II only.

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Answer:

Step-by-step explanation:

no triangle

11<4+3 false

Answer:

Take a scale and draw a line of 4 centimetres.

Then again on its opposite side draw 3 cm. The connect final sides. I this way no triangle is Made.

Answer:

y=3/4 x- 1/2

Step-by-step explanation:

Answer:

is it from the text book

Step-by-step explanation:

Answer:

V = (4, 4 )

Step-by-step explanation:

Use the midpoint formula, the equation corresponding coordinates to the coordinates of the midpoint M

let V = (x, y ) , W = (8, 6 ) , then

\(\frac{x+8}{2}\) = 6 ( multiply both sides by 2 )

x + 8 = 12 ( subtract 8 from both sides )

x = 4

and

\(\frac{y+6}{2}\) = 5 ( multiply both sides by 2 )

y + 6 = 10 ( subtract 6 from both sides )

y = 4

coordinates of V = (4, 4 )

The dataset in the ISLR2 package named "Auto" is used in R programming to build a predictive model for mpg (miles per gallon). EDA should be performed, as well as other exploratory data analysis methods such as scatterplots, to investigate the data. The data should be pre-processed before analyzing it.

The pre-processing technique used must be justified. The cleaned dataset must be submitted as an *.RData file.A multiple regression is performed on the pre-processed dataset. The response variable is mpg, and the lm() function is used to fit the model. The predictors that have a significant relationship to the response variable can be determined using the summary() function. The summary() function provides an output containing a table with different columns, one of which is labelled "Pr(>|t|)."

This column contains the p-value for the corresponding predictor. Any predictor with a p-value of less than 0.05 can be considered to have a significant relationship with the response variable.The coefficient variable for the "year" predictor can be obtained using the summary() function. The coefficient variable is a numerical value that represents the relationship between the response variable and the predictor variable. The coefficient variable for the "year" predictor provides the amount by which the response variable changes for each unit increase in the predictor variable. If the coefficient variable is positive, then an increase in the predictor variable results in an increase in the response variable. If the coefficient variable is negative, then an increase in the predictor variable results in a decrease in the response variable.The * and: symbols can be used to fit models with interactions.

The interaction effect can be determined by the presence of significant interactions between the predictor variables. A predictor variable that interacts with another predictor variable has a relationship with the response variable that is dependent on the level of the interacting predictor variable. If there is a significant interaction between two predictor variables, then the relationship between the response variable and one predictor variable depends on the value of the other predictor variable.

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Answer:

E. would be your answer

Step-by-step explanation:

ok so find an angle on figure A. and count how many units it takes to get to the same angle on figure B.

To find the standard matrix for the linear transformation T: T(x, y) = (x + 6y, x - 4y), we need to determine the image of the standard basis vectors (1, 0) and (0, 1) under T.

Let's start with the standard basis vector (1, 0):

T(1, 0) = (1 + 6(0), 1 - 4(0)) = (1, 1)

The image of (1, 0) is (1, 1). Therefore, the first column of the standard matrix will be (1, 1).

Next, let's consider the standard basis vector (0, 1):

T(0, 1) = (0 + 6(1), 0 - 4(1)) = (6, -4)

The image of (0, 1) is (6, -4). Therefore, the second column of the standard matrix will be (6, -4).

Putting it all together, the standard matrix for the linear transformation T is:

| 1   6 |

| 1  -4 |

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Answer:

5

Step-by-step explanation:

the angles need to add up to 180

60 + 40 =100

180 - 100 =80

80 - 5 =75

75/15 =5

Solving the equation for pressure (P), we obtain P = (nRT)/V. Substituting the values, we have P = [(25 g/4 g/mol) × (8.314 J/(mol·K)) × (717 K)] / 12.2 L.

To calculate the pressure in Pascal (Pa) of a sample of helium gas at 717 Kelvin with a volume of 12.2 L and a mass of 25 grams, we can use the ideal gas law equation. The ideal gas law relates the pressure, volume, temperature, and amount of gas. By rearranging the equation and substituting the given values, we can solve for the pressure in Pa.

The ideal gas law equation is expressed as PV = nRT, where P is the pressure, V is the volume, n is the number of moles of gas, R is the ideal gas constant, and T is the temperature in Kelvin.

To find the pressure in Pa, we need to convert the mass of helium (given in grams) to moles. We can do this by dividing the mass by the molar mass of helium, which is approximately 4 g/mol.

Next, we substitute the values into the ideal gas law equation. The volume is given as 12.2 L, the number of moles is calculated from the mass of helium (25 g divided by 4 g/mol), the ideal gas constant is a known value (8.314 J/(mol·K)), and the temperature is given as 717 Kelvin.

Solving the equation for pressure (P), we obtain P = (nRT)/V. Substituting the values, we have P = [(25 g/4 g/mol) × (8.314 J/(mol·K)) × (717 K)] / 12.2 L. Finally, to convert the pressure from J/(mol·L) to Pa, we multiply by a conversion factor of 1000 J/(mol·L) = 1 Pa. Therefore, the calculated pressure will be in Pascal (Pa).

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A Poisson random variable represents the number of occurrences of an event in a fixed interval of time or space. It is a discrete random variable, which means that it can only take on integer values, starting from zero. Therefore, the smallest numerical value that a Poisson random variable can be is zero.

This means that there is a possibility that the event will not occur at all during the given interval. For example, if we are counting the number of customers who visit a store in an hour, it is possible that no customers show up during that hour, resulting in a Poisson random variable of zero.

However, the probability of this occurring depends on the average rate of the event occurring, which is denoted by the parameter λ in the Poisson distribution. The larger the value of λ, the smaller the probability of a Poisson random variable being zero.

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Answer:

n = 15

Step-by-step explanation:

since the triangles are similar then the ratios of corresponding sides are in proportion, that is

\(\frac{RS}{BC}\) = \(\frac{QS}{AC}\) ( substitute values )

\(\frac{n}{6}\) = \(\frac{5}{2}\) ( cross- multiply )

2n = 30 ( divide both sides by 2 )

n = 15