What is the y-intercept of the line shown. Answers

3/4

2

3

4

Answer:

The answer is B, or the second one.

90 Adult tickets and 18 Children's tickets

Step-by-step explanation:

(90 x 15) + (18 x 9)

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

The number of children's tickets sold is 18.

The number of adult tickets sold is 90.

Option B is the correct answer.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 - 9 is an equation.

We have,

Number of children tickets = x

Number of adults tickets = 5x

Cost of each children ticket = $9

Cost of each adult ticket = $15

Total  sales = $1512

Now,

9x + 5x(15) = 1512

9x + 75x = 1512

84x = 1512

x = 18

Thus,

The number of children's tickets sold is 18.

The number of adult tickets sold is 90.

Option B is the correct answer.

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a). As of March 1, 2022, the reference exchange rate for 1 euro is 117.201 Russian rubles.

b). Approximately 1,745,034.9 rubles for our 14,900 euros.

According to the European Central Bank, as of March 1, 2022, the reference exchange rate for 1 euro is 117.201 Russian rubles.

The Russian ruble/euro cross rate is the exchange rate between the Russian ruble and the euro. It represents the amount of Russian rubles that can be exchanged for one euro. In this case, we are given that we want to exchange 14,900 euros for Russian rubles. To determine how many rubles we will obtain, we need to multiply the amount of euros by the exchange rate. Using the exchange rate from the European Central Bank, we get:

14,900 euros x 117.201 rubles/euro = 1,745,034.9 rubles

Therefore, we will obtain approximately 1,745,034.9 rubles for our 14,900 euros.

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The Laplace transform of \(t^5 e^{-3t}\) is given by \(\frac{5!}{(s+3)^6}\), where \(s\) is the complex variable.

The Laplace transform of \(t^5 e^{-3t}\) is given by \(\frac{5!}{(s+3)^6}\), where \(s\) is the complex variable. This transformation can be derived using the Laplace transform formula for \(t^n e^{at}\), which states that \(\mathcal{L}\left\{t^n e^{at}\right\} = \frac{n!}{(s-a)^{n+1}}\), where \(s\) is the complex variable. In this case, \(n = 5\) and \(a = -3\). Substituting these values into the formula, we get \(\mathcal{L}\left\{t^5 e^{-3t}\right\} = \frac{5!}{(s+3)^6}\). This transformation is useful in solving differential equations and analyzing systems in the Laplace domain, where complex variables are used to represent time-domain functions. The Laplace transform provides a powerful tool for solving linear differential equations and studying their behavior in the frequency domain.

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To find the gradient vector field of the function f(x, y) = x^3y^6, we need to compute the partial derivatives with respect to x and y and combine them into a vector.

The gradient vector field will have two components, corresponding to the partial derivatives with respect to x and y, respectively.

Let's calculate the partial derivatives of f(x, y) = x^3y^6 with respect to x and y. Taking the derivative with respect to x treats y as a constant, and taking the derivative with respect to y treats x as a constant.

\The partial derivative of f(x, y) with respect to x, denoted as ∂f/∂x, is given by:

∂f/∂x = 3x^2y^6.

The partial derivative of f(x, y) with respect to y, denoted as ∂f/∂y, is given by:

∂f/∂y = 6x^3y^5.

Combining these partial derivatives, we obtain the gradient vector field of f(x, y):

∇f(x, y) = (∂f/∂x, ∂f/∂y) = (3x^2y^6, 6x^3y^5).

Therefore, the gradient vector field of f(x, y) = x^3y^6 is (3x^2y^6, 6x^3y^5).

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A model with a lower AIC or BIC value is preferred using linear regression.

She can run a linear regression model or she can do both. A correlation coefficient measures the strength of a relationship between two variables but does not indicate the nature of the relationship (positive or negative) or whether it is causal or not. Linear regression is used to model a relationship between two variables and to make predictions of future values of the dependent variable based on the value of the independent variable(s). Additionally, linear regression analysis allows for statistical testing of whether the slope of the relationship is different from zero and whether the relationship is statistically significant. Milly also wants to know if there is a relationship between walking distance and smoking status (with categories 'current' or 'ex-smokers').

Milly should perform a point-biserial correlation analysis since walking distance is a continuous variable while smoking status is a dichotomous variable (current or ex-smokers). The point-biserial correlation analysis is used to determine the strength and direction of the relationship between a dichotomous variable and a continuous variable.

If the β coefficient had a 95% confidence interval that ranged from −5.74 to −0.47.

The β coefficient had a 95% confidence interval that ranged from −5.74 to −0.47 indicates that if the value of the independent variable increases by 1 unit, the value of the dependent variable will decrease between −5.74 and −0.47 units. The interval does not contain 0, so the effect is statistically significant. Milly finds:

MWT1_best =α+β∗ PackHister

χ=442.2−1.1∗ PackHistory and the corresponding 95% confidence interval for β ranges from −1.9 to −0.25.  

The 95% confidence interval for β ranges from −1.9 to −0.25 indicates that there is a statistically significant negative relationship between PackHistory and MWT1best. It means that for every unit increase in pack years of smoking, MWT1best decreases by an estimated 0.25 to 1.9 units.Milly decides to fit the multivariable model with age, FEV1 and smoking pack years as predictors. MWT1best =α+β1∗AGE+β2∗FEV1+β3∗ PackHistory

Milly is wondering whether this is a reasonable model to fit. Milly should wonder about the model as the predictors may not be independent of one another and the model may be overfitting or underfitting the data. Milly has now fitted several models and she wants to pick a final model.

To pick a final model, Milly should use the coefficient of determination (R-squared) value, which indicates the proportion of variance in the dependent variable that is explained by the independent variables. She should also consider the adjusted R-squared value which is similar to the R-squared value but is adjusted for the number of predictors in the model. Additionally, she can compare the Akaike Information Criterion (AIC) or the Bayesian Information Criterion (BIC) values of the different models. A model with a lower AIC or BIC value is preferred.

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The table layout and relationship structure of a relational database is called its schema.

A schema in a relational database refers to the overall structure and organization of tables, their attributes (columns), and the relationships between them. It defines the blueprint for how the data is organized and stored in the database.

The schema includes information such as the table names, column names, data types, constraints, and the relationships established through keys (such as primary keys and foreign keys). It provides a logical representation of the database structure and helps ensure data integrity and consistency.

The schema serves as a guide for creating, modifying, and querying the database tables. It defines the structure that enforces rules and relationships between tables, facilitating data manipulation and retrieval.

By designing a well-defined schema, database administrators and developers can establish the foundation for efficient data storage, retrieval, and management within a relational database system.

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Answer:

The answer is below

Step-by-step explanation:

The equation of a straight line is given by:

y = mx + b

where m is the slope of the line and b is the y intercept (value of y when x = 0).

Given the equation of two lines as \(y=m_1x+b_1\ and\ y=m_2x+b_2\), the two lines are parallel to each other if \(m_1=m_2\). Also the lines are perpendicular if

\(m_1m_2=-1\)

Given line BC:

3x + 2y = 8

2y = -3x + 8

y = -3x/2 + 4

Hence the slope of the line BC = -3/2

For line AD:

-3x - 2y = 6

-2y =3x + 6

y = -3x/2 - 3

Hence the slope of line AD is -3/2

Since both line BC and AD have equal slope (-3/2), hence both lines are parallel to each other

Answer:

Commutive Property

Step-by-step explanation:

The numbers switched that's all

Answer:

Commutative property

Step-by-step explanation:

Change

Order

m

m

u

t

a

t

i

v

e

so basically you’re not changing the group ( associative ) and you’re not multiplying into the groups ( Distribuative ) so the only other option would be Commutative, and you’re changing the order of the numbers so it would be commutative.

subsets of a universal set U  a)  = n(A) + n(B ∪ C) - n(A ∩ B ∩ C). b) = n(U) − n(B ∪ C) = 100 - n(B ∪ C) c)

(a) To compute n[A ∩ (B ∪ C)], we use the principle of inclusion-exclusion:
n[A ∩ (B ∪ C)] = n(A) + n(B ∪ C) - n(A ∩ B ∩ C).

First, we need to find n(B ∪ C):
n(B ∪ C) = n(B) + n(C) - n(B ∩ C) = 27 + 31 - 15 = 43.

Now, we can find n[A ∩ (B ∪ C)]:
n[A ∩ (B ∪ C)] = n(A) + n(B ∪ C) - n(A ∩ B ∩ C) = 25 + 43 - 3 = 65.

(b) To compute n[A ∩ (B ∪ C)c], we use the complement rule:
n[A ∩ (B ∪ C)c] = n(A) - n[A ∩ (B ∪ C)] = 25 - 65 = -40.

However, a negative value for the intersection is not possible.

let's compute the following:

(a) n[A ∩ (B ∪ C)](b) n[A ∩ (B ∪ C)c]

Solution:

(a) n[A ∩ (B ∪ C)] = n[(A ∩ B) ∪ (A ∩ C)] = n(A ∩ B) + n(A ∩ C) − n[A ∩ (B ∩ C)]+ n[B ∩ C] = 6 + 10 - 3 + 15 = 28So, n[A ∩ (B ∪ C)] = 28.

(b) (B ∪ C)c = U \ (B ∪ C), so n(B ∪ C)c = n(U) − n(B ∪ C) = 100 - n(B ∪ C)

Now, n[A ∩ (B ∪ C)

c] = n(A) - n[A ∩ (B ∪ C)] = 25 - 28 = -3 So, n[A ∩ (B ∪ C)c] = -3.

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The solution set for this equation S^2-11s can be expressed as 0, 11.

An equation is a mathematical statement that shows that two expressions are equal. It consists of two sides, a left-hand side (LHS) and a right-hand side (RHS), separated by an equal sign (=). The LHS and RHS can contain variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, exponentiation, and so on. The purpose of an equation is to find the value(s) of the variable(s) that make the equation true.

Given that S^2-11s, which can be written as S^2-11s = 0 We can factor the expression on the left-hand side to get:

S(S-11) = 0

Then this  equation is satisfied when either S = 0 or S-11 = 0. Thus, the solution set is: S = {0, 11}

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Answer:

10

Step-by-step explanation:

a1=2

a=2

an=-5an-1+3

plug in

(2)5=10

In the function rule p(t) - 700, the number 700 represents a constant value that is subtracted from the value of the function p(t).

Assuming that p(t) is a function of time t, it is possible that p(t) represents a physical quantity such as the population of a city, the price of a stock, or the number of customers in a store, among other things. If we know what p(t) represents, we can interpret the meaning of 700 in the context of the situation.

For example, if p(t) represents the population of a city, then p(t) - 700 would represent the difference between the population and a reference value of 700. This could mean that 700 is the estimated minimum viable population of the city, or it could represent a reference population for comparison with other cities.

If p(t) represents the price of a stock, then p(t) - 700 would represent the difference between the stock price and a target value of 700, such as a price floor or a strike price.

In general, the meaning of 700 in the function rule p(t) - 700 depends on the specific context of the situation and the physical quantity that p(t) represents.

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Answer:

x = 21

Step-by-step explanation:

The ratio of cost to the number of cans = 5: 2  

A ratio is a mathematical concept that represents the relationship between two or more values.

In the given problem, the ratio represents the relationship between the cost of the soup and the number of cans purchased.

Ratios are commonly used in mathematics, finance, and other fields to express comparisons and relationships between different quantities.

Here we have

$10 for 4 cans of soup  

The required ratio can be formed as follows

=> 10: 4

=> 10/2: 4/2   [ Divided by 2 ]

=>  5: 2

Therefore,

The ratio of cost to the number of cans = 5: 2    

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A. In the alternate universe, the p subshell would have 5 orbitals.

B. In the alternate universe, the d subshell would have 10 orbitals.

In the alternate universe where the possible values of mℓ range from -l-1 to l+1, the number of orbitals in each subshell can be determined.

A. For the p subshell, the value of l is 1. Therefore, the range of mℓ would be -1, 0, and 1. Including the additional values of -2 and 2 from the alternate universe, the total number of orbitals in the p subshell would be 5 (mℓ = -2, -1, 0, 1, 2).

B. For the d subshell, the value of l is 2. In the conventional universe, the range of mℓ would be -2, -1, 0, 1, and 2, resulting in 5 orbitals. However, in the alternate universe, the range would extend to -3 and 3. Including these additional values, the total number of orbitals in the d subshell would be 10 (mℓ = -3, -2, -1, 0, 1, 2, 3).

Therefore, in the alternate universe, the p subshell would have 5 orbitals, and the d subshell would have 10 orbitals.

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The cost of one apple is $1.54 and cost of an apricot is $1.39.

Let's use the variables a and p to represent the cost of one apple and one apricot, respectively. Then we can write the following system of linear equations based on the given information:

9a + 6p = 8.5 (Jeremiah bought 9 apples and 6 apricots for $8.50 yesterday)

3a + 2p = 7.4 (Jeremiah bought 3 apples and 2 apricots for $7.40 today)

These two equations represent the total cost of the apples and apricots that Jeremiah bought on the two days. We can solve this system of equations to find the values of a and p.

One way to do this is to use elimination by multiplying the second equation by 3 and the first equation by -2, and then adding the resulting equations:

-18a - 12p = -17

9a + 6p = 8.5

-9a - 6p = -8.5

Dividing both sides by -9, we get:

a + 2/3p = 0.94444...

Next, we can substitute this expression for a into either equation and solve for p. Let's use the first equation:

9(a) + 6(p) = 8.5

9(0.94444...) + 6(p) = 8.5

8.5 - 8.5 = 6p - 8.333...

0 = 6p - 8.333...

6p = 8.333...

p = 1.38888...

So, the cost of one apricot is $1.39 (rounded to two decimal places).

To find the cost of one apple, we can substitute this value for p into either equation and solve for a. Let's use the second equation:

3(a) + 2(p) = 7.4

3(a) + 2(1.38888...) = 7.4

3(a) + 2.7777... = 7.4

3(a) = 4.6222...

a = 1.54074...

So, the cost of one apple is $1.54 (rounded to two decimal places).

Therefore, the cost of an apple is $1.54 and the cost of an apricot is $1.39.

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The quadratic regression is y = 41.82x² - 5.78x + 0.5 and the box office revenue in 2012 is $59.53 million

From the graph, we have the following readings:

x y

5 25.5

6 24.9

7 26.1

8 27.5

When these values are entered in a graphing tool, we have the following summary:

The function is represented as

y = ax² + bx + c

So, we have

y = 41.82x² - 5.78x + 0.5

This means that x = 12

So, we have

y = 41.82 * 12² - 5.78 * 12 + 0.5

Evaluate

y = 5953.22

Hence, the revenue is $59.53 million

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Answer:

Step-by-step explanation:

To find the total area of the track, we need to calculate the area of each section and then add them together.

Area of a semi-circle with radius 31m:

A = (1/2)πr^2

A = (1/2)π(31m)^2

A = 4795.4m^2

Area of a rectangle with length 92.7m and width 31m (the straight parts):

A = lw

A = (92.7m)(31m)

A = 2873.7m^2

To find the total area, we need to add the areas of the two semi-circular ends and the two straight sections:

Total area = 2(Area of semi-circle) + 2(Area of rectangle)

Total area = 2(4795.4m^2) + 2(2873.7m^2)

Total area = 19181.6m^2

Rounding this to 1 decimal place, we get:

Total area ≈ 19181.6 m^2

Therefore, the total area of the track is approximately 19181.6 square meters.

Solving a system of equations we can see that each pair of pants costs €82.94 and each coat costs €26.37

Let's define the variables:

x = cost of a pant

y = cost of a coat.

First, we know that:

3x + 2y = 245

And then there are discounts of 20% and 5%, and the cost of one of each is 100.75, then:

0.8x + 0.95y = 100.75

Then we have a system of equations:

3x + 2y = 245

0.8x + 0.95y = 100.75

We can isolate x on the second equation to get:

x = (100.75 - 0.96y)/0.8

x = 125.9 - 1.2y

Replace that in the other equation:

3*(125.9 - 1.2y) + 2y = 245

Solving for y:

3*125.9 - 3*1.2y + 2y = 245

y*(2 - 3*1.2) = 245 - 3*125.9

y = (245 - 3*125.9)/(2 - 3*1.2)

y = 82.94

Then the value of x is:

x = 125.9 - 1.2*82.94

x = 26.37

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Answer:

9 :)

Step-by-step explanation:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

By applying the squeeze theorem, we can conclude that:limx → -1 f(x) = limx → -1 (5x + 11) = 6.

The Squeeze Theorem is used to estimate a limit value based on the limits of two other functions. This theorem can be used to calculate limits for some functions that would otherwise be hard to work with.

The theorem states that if f(x) ≤ g(x) ≤ h(x) for all values of x that are close enough to a (but not equal to a) then, then the limit of g(x) is equal to the limit of f(x) and the limit of h(x).

Therefore, the Squeeze Theorem can be used to find the limit of a function.

To find limx → -1 f(x), where 5x + 11 ≤ f(x) ≤ x³ + 6x² - 3x - 2, let's evaluate the limits of the lower and upper bounds as x approaches -1.

Limit of the Lower Bound: limx → -1 (5x + 11) = 6

Limit of the Upper Bound: limx → -1 (x³ + 6x² - 3x - 2) = 2

Therefore, by applying the squeeze theorem, we can conclude that:limx → -1 f(x) = limx → -1 (5x + 11) = 6.

Hence, the correct option is option (c).

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Recall that the function represented by the graph of the function h(x) reflected over the x-axis is:

Also, recall that the graph represented by the graph of the function h(x) translated n units up is:

Therefore, the function represented by the graph of

after a reflection over the x-axis followed by a translation of n units up is:

Using the commutative property of addition we get:

Answer: Second option.

If the level of GDP increased by $400 billion in a private closed economy with a marginal propensity to consume of 0.80, aggregate expenditures must have increased by $400 billion.

If the level of GDP increased by $400 billion in a private closed economy where the marginal propensity to consume (MPC) is 0.80, we can calculate the increase in aggregate expenditures.

The marginal propensity to consume (MPC) represents the proportion of additional income that people choose to spend. In this case, with an MPC of 0.80, it means that for every additional dollar of income, people will spend $0.80 and save $0.20.

To calculate the increase in aggregate expenditures, we can use the concept of the expenditure multiplier, which is the inverse of the marginal propensity to save (MPS). The MPS is equal to 1 - MPC.

MPS = 1 - MPC

MPS = 1 - 0.80

MPS = 0.20

The expenditure multiplier (k) is calculated as:

k = 1 / MPS

k = 1 / 0.20

k = 5

Now, we can calculate the increase in aggregate expenditures (ΔAE) using the formula:

ΔAE = ΔGDP × k

ΔAE = $400 billion × 5

ΔAE = $2000 billion

Therefore, the correct answer is $2000 billion.

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Answer:  Factors of 44: 1, 2, 4, 11, 22, 44

Step-by-step explanation: coz I juss know

Answer:

222222222/1000000000

Step-by-step explanation: