Consider this equation: {x-9-2x+2=1
Which is an equivalent equation after combining like terms?
8
O -=
-x-11=1
3
-4
-x-7=1
3
x-7
7=1
o ex-7=1
x
-x-11=1
3

The values of the trigonometric ratios sec θ and cot θ are:

sec θ = -13/12

cot θ = 12/5

There are three main trigonometric ratios which are:

sin x = opposite/hypotenuse

cos x = adjacent/hypotenuse

tan x = opposite/adjacent

We are told that sin θ = -5/13

Using Pythagoras theorem, we have that:

Adjacent side = √(13² - 5²)

Adjacent side = √144 = 12

Thus:

cos θ = -12/13

sec θ = 1/cos θ

Thus:

sec θ = 1/(-12/13)

sec θ = -13/12

1/ tan θ = cot θ

tan θ = sin θ/cos θ

tan θ = (-5/13)/(-12/13) = 5/12

cot θ = 1/(5/12) = 12/5

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Answer: you can make 3 full scarves in 24 hours .

Step-by-step explanation:

Answer:

\(P(blue)=\frac{5}{24} \\ P(yellow)=\frac{7}{24} \\ P(blue \: \cup \: yellow)=\frac{5 + 7}{24} = \frac{12}{24} \\ P(blue \: \cup \: yellow)= \frac{1}{2} \)

Answer:

4/8

Step-by-step explanation:

Answer:

No.

Step-by-step explanation:

Y=2x goes up twice and to the right once, it passes through the origin, therefore it won't touch or go pass by point (2,1)

The coffee store needs 8 pounds of Kenyan coffee and 12 pounds of Sumatran coffee to make a 20 lb blend that sells for $9.40 per pound.

Let's assume x represents the number of pounds of Kenyan coffee needed and y represents the number of pounds of Sumatran coffee needed to make a 20 lb blend.

We can set up a system of equations based on the given information:

Equation 1: x + y = 20 (The total weight of the blend is 20 lbs)

Equation 2: 10x + 9y = 20 * 9.40 (The total cost of the blend is the sum of the costs of the individual coffees)

Simplifying equation 2:

10x + 9y = 188

To solve this system of equations, we can use the substitution method.

From equation 1, we have x = 20 - y. Substitute this value of x into equation 2:

10(20 - y) + 9y = 188

200 - 10y + 9y = 188

200 - y = 188

-y = 188 - 200

-y = -12

y = 12

Now, substitute the value of y = 12 back into equation 1:

x + 12 = 20

x = 20 - 12

x = 8

Hence 8 pounds of Kenyan and 12 pounds of Sumatran coffee is needed to make a 20 lb blend that sells for $9.40 per pound.

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The position vector r (with components x1, x2, x3) and any vector v can be expressed as r = x1*i + x2*j + x3*k and v = a*i + b*j + c*k, respectively.

The dot product of two vectors is defined as the sum of the products of their corresponding components. Therefore, the dot product of r and v can be calculated as:

r · v = (x1*i + x2*j + x3*k) · (a*i + b*j + c*k)

     = (x1*a) + (x2*b) + (x3*c)

Here, we multiplied the corresponding components and summed them up. The dot product represents the scalar projection of one vector onto the other, which indicates the magnitude of one vector in the direction of the other.

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None of the provided options match the correct fraction. The correct fraction is 1/10, which is not listed.

Let's calculate the fraction of science fiction books in the library based on the given information.

If 2/5 of the books in the library are fiction, then the fraction of fiction books in the library is 2/5.

Now, if 1/4 of the fiction books are science fiction, we can find the fraction of science fiction books in the library by multiplying the fraction of fiction books by 1/4:

Fraction of science fiction books = (2/5) * (1/4)

Fraction of science fiction books = 2/20

Simplifying the fraction, we get:

Fraction of science fiction books = 1/10

So, the fraction of books in the library that are science fiction is 1/10.

None of the provided options match the correct fraction. The correct fraction is 1/10, which is not listed.

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There are 97 different ways to wear a skirt or a pant with each ensemble.

Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant. You can choose the components of combos in any order. Permutations and combinations can be mixed up.

A combination, for instance, is choosing five people to be in a group where everyone plays the same job regardless of how you pick them up. It is a permutation, though, if you're choosing five people and their roles depend on the order in which you choose them.

There are 5 pairs of pants, 7 skirts, and 12 shirts.

=5C2 + 7C2 +12C2

= 10 + 21 + 66

=97

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Therefore, in a 2x2 table, the pattern of cell frequencies that would indicate independence is d. All cell frequencies are exactly the same.

In a 2x2 contingency table, the expected cell frequencies under the null hypothesis of independence are equal for all cells. If the observed cell frequencies in the table are approximately equal to the expected cell frequencies, then we can conclude that there is no significant association between the two variables being studied. In other words, the pattern of observed cell frequencies is consistent with the null hypothesis of independence. Therefore, if all cell frequencies are exactly the same, it suggests that the variables are independent, as each cell has an equal chance of being filled by any observation regardless of the value of the other variable.

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To solve the wave equation subject to the given boundary conditions, we need to find the solution that satisfies both the wave equation and the specified initial and boundary conditions.

The wave equation is given by ∂²u/∂t² = c²∂²u/∂x², where u represents the function, c is the wave speed, t is time, and x is the position.

The initial condition is u(x, 0) = 0, which means the initial displacement is zero.

The boundary conditions are u(0, t) = u(L, t) = 0, which means the function is fixed at the boundaries and does not vary with time.

To solve this problem, we can use the method of separation of variables. We assume a solution of the form u(x, t) = X(x)T(t) and substitute it into the wave equation.

By separating variables and solving the resulting ordinary differential equations, we can obtain the solutions for X(x) and T(t). The general solution will then be a linear combination of the separated solutions.

Applying the initial and boundary conditions will allow us to determine the specific values of the coefficients and obtain the final solution.

The detailed calculation process and specific solution will depend on the specific boundary conditions, the initial condition, and the domain of interest. Without further information about the specific values of L and the wave speed c, it is not possible to provide a more detailed solution in this context.

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Answer:

(44.25/75)*100 or (44.25/3)*4

Step-by-step explanation:

Divide by the price of $44.25 by 75 (100% - 25%) and mulitily by 100

or $44.25 by 3 and multyply by 4. (25% is a quarter 1/4, so you need 4/4)

Answer:

Slope = -4

x intercept = 3

Step-by-step explanation:

See attachment for graph

Required

a. Determine the slope

b. Find the x intercept and explain what it represents

a. The slope

To calculate the slope, we start by selecting any two corresponding values of x and y from the graph.

\((x_1,y_1) = (3,0)\)

\((x_2,y_2) = (0,12)\)

Next, we calculate the slope (m)

\(m = \frac{y_1 - y_2}{x_1 - x_2}\)

\(m = \frac{0 - 12}{3 - 0}\)

\(m = \frac{- 12}{3}\)

\(m = -4\)

b. The x intercept

This is the point where \(y = 0.\)

From the graph.

\(x = 3\)  when \(y = 0\)

This implies that:

After 3 hours, the distance left to cover is 0miles.

In other words, she arrived home in 3 hours

The mean is 18.6.

Given the following information; z = 2.25, x = 22.2, and σ = 1.6, to find the mean, we have to apply the formula for z-score. z = (x - μ)/σWhere; z-score is represented by z, the value of X is represented by x, the mean is represented by μ and the standard deviation is represented by σSubstituting the values into the equation above;2.25 = (22.2 - μ)/1.6Multiplying both sides of the equation by 1.6, we have;1.6(2.25) = (22.2 - μ)3.6 = 22.2 - μ Subtracting 22.2 from both sides of the equation;3.6 - 22.2 = - μ-18.6 = - μ Multiplying both sides of the equation by -1, we have;μ = 18.6

Simply said, a z-score, also known as a standard score, informs you of how far a data point is from the mean. Technically speaking, however, it's a measurement of how many standard deviations a raw score is from or above the population mean.

You can plot a z-score on a normal distribution curve. Z-scores range from -3 standard deviations, which would fall to the extreme left of the normal distribution curve, to +3 standard deviations, which would fall to the far right. You must be aware of the mean and population standard deviation in order to use a z-score.

The z-score can show you how that person's weight compares to the mean weight of the general population.

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Answer:

D- 5hrs

Step-by-step explanation:

If the family can hike 3 miles per hour,
for 15 miles: 15/3 = 5 hours.

Every hour they cover 3 miles per hour, so to cover 15 miles, they will take 5 hours

Answer:

D. 5 hours

Step-by-step explanation:

3 miles per 1 hour so 3/1

15 miles per x hours so 15/x

3/1 = 15/x or 3 = 15/x

get x by itself so

3 divided by 3 and 15 divided by 3

x = 5 hours

Answer:

Step-by-step explanation:

\(\frac{-1}{12}\)

Answer:

a

Step-by-step explanation:

- \(\frac{1}{4}\) × \(\frac{2}{3}\) × \(\frac{1}{2}\) ( cancel the 2 on the numerator/ denominator of last 2 fractions )

= - \(\frac{1}{4}\) × \(\frac{1}{3}\) × 1

multiply values on numerators and values on denominators )

= - \(\frac{1(1)}{4(3)}\) × 1

= - \(\frac{1}{12}\)

First, we multiply the first equation by 5 and the second equation by 7, then subtract the first equation from the second equation to eliminate y. Next, we substitute x = 11/2 into one of the original equations to solve for y. The solution is (x, y) = (11/2, 2). To find the value of y2, we square the value of y.

A mathematical statement known as an equation utilizes the equal symbol (=) to demonstrate the equality of two expressions. A mathematical equation normally consists of constants, variables, and operations such addition, subtraction, multiplication, and division.

To solve this system of equations, we can use the method of elimination.

First, we will multiply the first equation by 5 and the second equation by 7 to get:

10x - 35y = -15

28x - 35y = 84

Now, we can subtract the first equation from the second equation to eliminate y:

28x - 10x - 35y + 35y = 84 - (-15)

18x = 99

x = 99/18 = 11/2

Next, we can substitute x = 11/2 into one of the original equations to solve for y. We'll use the first equation:

2x - 7y = -3

2(11/2) - 7y = -3

11 - 7y = -3

-7y = -14

y = 2

Therefore, the solution to the system of equations is (x, y) = (11/2, 2).

To find the value of y², we simply square the value of y:

y² = 2² = 4

So the value of y² is 4.

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The cost of a t-shirt is £3 and the cost of a hat is £2.

What is a linear equation?

When an equation contains one or more variables with exponents as 1 then such equations are linear equations.

For example, 3x+2y=9 and 4y=6. The first equation is a linear equation with two variables and the second equation is with the linear equation in one variable.

Let the cost of a t-shirt is £m and the cost of a hat is £n.

Formulate two linear equations using the given statements in the question.

\(2m+3n=12\,\,\, ...(1)\\5m+4n=23\,\,\, ...(2)\)

Obtain the value of m from equation (1).

\(2m=12-3n\\m=\frac{12-3n}{2}\)

Substitute the obtained value of m into equation (1) and find n.

\(5 \times(\frac{12-3n}{2})+4n=23\\ 60-15n+8n=46\\14=7n\\n=2\)

Substitute the value of n into \(m=\frac{12-3n}{2}\)and obtain the value of m.

\(m=\frac{12-3(2)}{2}\\=\frac{12-6}{2}\\ =\frac{6}{2}\\ =3\)

Thus, the cost of a t-shirt is £3 and the cost of a hat is £2.

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Answer:

need more imformacion

The content dimension of a message deals with the what of a message, while the relational dimension of a message deals with the how of a message is the correct answer.

Content dimensions is a generic concept to have multiple variants of a content node. It involves the information being explicitly discussed. The content repository supports any number of dimensions. The content dimension is the meaning of the actual message itself.

"Relational dimension of communication is a concept in which we have similar weight and impact as that of the message. This concept deals with the quality or nature of the relationships and networks."

Hence we can conclude that the content dimension of a message deals with the what of a message, while the relational dimension of a message deals with the how of a message is the correct answer.

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The answer is , the interest rate charged by a local bank this quarter for new home loans is a continuous variable.

The interest rate charged by a local bank this quarter for new home loans is a continuous variable.

Let's look into the explanation below.

A variable is anything that can be calculated, measured, or known.

We can categorize the variables into two types; discrete variables and continuous variables.

The type of variable depends on the data type being collected.

A discrete variable refers to data that can be counted, for example, the number of children in a family, number of pets, number of apples, etc.

While continuous variable refers to data that is measurable, for example, height, weight, distance, etc.

Explanation

Interest rates are measured in percentages and range from 0 to 100 percent.

The interest rate charged by a local bank for new home loans is a continuous variable because it can take on any value within a specific range.

For instance, it can be 5.6%, 5.7%, 5.61%, and so on.

Therefore, the interest rate charged by a local bank this quarter for new home loans is a continuous variable.

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Answer:

Harry needs to make 12 potions to get an A.

Step-by-step explanation:

He currently has a D

+ 4 = C

+ 4 = B

+ 4 = A

4 + 4 + 4 = 12 potions

So, Harry needs to make 12 potions to get an A in his potions class.

The approximate percentage of bulb replacement requests between 57 and 73 is 95%.

The empirical rule, also known as the 68-95-99.7 rule, is used to determine the percentage of observations that lie within a specified number of standard deviations of the means in a normal distribution. The rule states that approximately:

68% of the observations are within one standard deviation of the means

95% of the observations are within two standard deviations of the mean

99.7% of the observations are within three standard deviations of the mean

The given problem states that the distribution of the number of daily requests for fluorescent light bulbs at a university is bell-shaped and has a mean of 57 and a standard deviation of 8. Therefore, to find the approximate percentage of light bulb replacement requests between 57 and 73, we need to find the number of standard deviations of the means that are 73 and 57.

\(z-score = (x - \mu) / \sigma\)

Where

For x = 73,

\(z-score = (73 - 57) / 8\\z-score = 2\)

For x = 57,

\(z-score = (57 - 57) / 8\\z-score = 0\)

Therefore, observations 57 and 73 are separated by two standard deviations.

Using the empirical rule, we can say that approximately 95% of the observations lie within two standard deviations of the mean. Therefore, approximately 95% of the daily requests for replacement of fluorescent bulbs in the university are between 57 and 73.

Thus, the approximate percentage of bulb replacement requests between 57 and 73 is 95%.

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Statement is true because the corresponding sides are congruent. The answer is: BA = LN.

What is Triangle?

A triangle is a closed, two-dimensional shape with three straight sides and three angles. It is one of the basic shapes in geometry and is used in many areas of mathematics, science, and engineering.

Since triangle ABC and triangle LMN have congruent corresponding sides, we know that they are similar triangles. This means that their corresponding angles are also congruent.

We are given that angle BAC is 58 degrees and angle MLN is 78 degrees. Since corresponding angles are congruent, this means that angle BAC is congruent to angle MLN.

Therefore, triangle ABC and triangle LMN are similar triangles with two pairs of corresponding congruent angles. This means that all corresponding sides are proportional.

Since AC = LN and BA = ML, we know that the ratio of the lengths of corresponding sides is:

AC / LN = BA / ML

Substituting the given values, we get:

1 = 1

This statement is true because the corresponding sides are congruent.

Therefore, the answer is: BA = LN.

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Answer:

what are the answer choices?

Step-by-step explanation:

Answer:

The answer to this problem would be 12, since 12 is the starting number ! :)

Answer: its associative property Hope I helped

Step-by-step explanation:

Answer:

-9.661

Step-by-step explanation:

For this problem you simply substitute the give values into the equation

a=6.05

b=3.611

-6.05+(-3.611)= -9.661