1.35 times ? = closest to 60.00

Each video game = $19 and each DVD = $ 32

An equation is a mathematical statement that represent that two expressions are equal. An equation can be formed by one or more variables along with numerical terms.

let, x denotes the cost of each video games.

y denotes the cost of each DVD

Katie bought 2 games and 3 DVD and total spent $134.

the equation can be written as 2x + 3y = $134 .......equation 1

Emily bought 1 less video game than Katie that means she bought 1 game.

 and    2 more DVD than Katie that means 5 DVD bought by Emily.

total spent of Emily = $179

The equation will be x + 5y = $179...... equation 2

in order to solve the two equations by addition method

we multiply by 2 to the second equation.

2x + 10y = 358

the first equation 2x +3y = 134

                             2x + 10y = 358

                            -       -          -

                    by subtracting we get,

                         - 7y = -224

                         y = 32

from the 2nd equation we get x = -5×32 + 179

                                       x = 19

each video game cost $ 19 and each DVD cost $ 32

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2.5 m/s²  is the distance between the traffic lights .

Defining acceleration Short response?

   from the picture V = 15 m/s

                           t = 6 sec

  a = Δv/Δt  = 15/6  ⇒ 2.5 m/s²

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Answer:

A

Step-by-step explanation:

3x + 2

3 (5) +2

15 + 2

The required correct answers are \($$H_0: p = 0.08$$\) , \($$H_a: p < 0.08$$\).

Let p be the proportion of residents in the town who are unemployed. The null hypothesis \($H_0$\) is that the proportion of unemployed residents in the town is the same as the national unemployment rate of 8%. The alternative hypothesis \($H_a$\) is that the proportion of unemployed residents in the town is significantly lower than the national unemployment rate.

Using the appropriate notation, the hypotheses can be expressed as:

$H_0: p = 0.08$

$H_a: p < 0.08$

Therefore, the appropriate set of hypotheses for the mayor's significance test are:

\($$H_0: p = 0.08$$\)

\($$H_a: p < 0.08$$\)

Note that this is a one-tailed test since the alternative hypothesis is only considering the possibility of the proportion being lower than the national unemployment rate

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The correct formula that defines an arithmetic sequence is option d) tn = 5n + 14.

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms remains constant. In other words, each term can be obtained by adding a fixed value (the common difference) to the previous term.

In option a) tn = 5 + 14, the term does not depend on the value of n and does not exhibit a constant difference between terms. Therefore, it does not represent an arithmetic sequence.

Option b) tn = 5n² + 14 represents a quadratic sequence, where the difference between consecutive terms increases with each term. It does not represent an arithmetic sequence.

Option c) tn = 5n(n+14) represents a sequence with a varying difference, as it depends on the value of n. It does not represent an arithmetic sequence.

Option d) tn = 5n + 14 represents an arithmetic sequence, where each term is obtained by adding a constant value of 5 to the previous term. The common difference between consecutive terms is 5, making it the correct formula for an arithmetic sequence.

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Answer:

k = 75

Step-by-step explanation:

Let's write down the prime factors of 15 and 375

15 = 3 x 5

375 = 3 x 5 x 5 x 5

So 15 x 375 = 3 x 5 x 3 x 5 x 5 x 5

= (3 x 3) x   (5 x 5 x 5) x 5

This cannot be a perfect cube

However if we multiply this by 3 x 5 x 5 we will get

(3 x 3 x ) x (5 x 5 x 5) x(5 x 5 x 5) which is a perfect cube

Since we are asked to find k such that 15 x 375 x k is a perfect cube

k = 3 x 5 x 5 = 75

ans
k = 75

Answer:

-4

Step-by-step explanation:

1. Always start with the parenthesis. (26/13) = 2

2. Then multiply. 2*-7 = -14

3. After, you add 14 to your precious answer (-14) then subtract 4.

   -14 + 14 = 0 - 4 = -4

Answer:

depends what type of books you mean and the pace you can read so theres no right or wrong answer cause everyone is at different levels when it comes to reading

Answer:

weird answer but if it where only chapter books ill read 20

if it where regular books i would read 50

Answer:

A

Step-by-step explanation:

you must distribute the 3 into the parenthsis first.

Answer:

angle c

Step-by-step explanation:

angle c is the angle of incidence.  It is the angle between the perpendicular  ( line that meets the surface at 90 degrees) and the ray that is coming in

Answer:

Angle C

Step-by-step explanation:

Answer:

52.26 cm

Step-by-step explanation:

Since the semicircle is a part of the rectangle, the side of the rectangle where the semicircle is put is eliminated. We know the diameter of the circle, if is 6 cm, but the formula of a semicircle is пr^2 / 2. To find the radius, we divide 6cm by 2, and then we square 3 (that's what we got), and get 9. We  simply multiply it by п, which would give us 28.26. The area of the rectangle is 4 * 6 = 24, and the area of the semicircle is 28.26. Now, we just need to add them: 24 + 28.26 = 52.26 cm, and that would be your answer.

Tell me if I'm wrong :)

Answer:

8397 divided by 27 in partial quotients is 311

Step-by-step explanation:

For matrix A, the factorization into the form xDx^(-1) is found. In the first case, A is factorized as A = [-3 -2][1 0][3 2]^(-1). In the second case, A is factorized as A = [-1 0 1][1 0 0][1 2 0]^(-1).

To factor the given matrices A into a product xDx^(-1), where D is a diagonal matrix, we need to find the diagonal matrix D and the invertible matrix x. We will perform the necessary calculations to obtain the factorization for each matrix A.

a. Matrix A:

A = [5 6]

   [-2 -2]

To factor A into the form xDx^(-1), we need to find the diagonal matrix D and the invertible matrix x.

First, we find the eigenvalues λ of matrix A by solving the characteristic equation det(A - λI) = 0, where I is the identity matrix.

det(A - λI) = det([5 - λ 6]

                    [-2 - 2 - λ])

Expanding the determinant, we get (5 - λ)(-2 - λ) - (6)(-2) = λ^2 - 3λ + 2 = (λ - 1)(λ - 2) = 0

So, the eigenvalues are λ1 = 1 and λ2 = 2.

Next, we find the eigenvectors corresponding to each eigenvalue.

For λ = 1:

(A - λ1I)x = 0

[4 6][x1] = 0

[-2 -3][x2]

Solving the system of equations, we get x1 = -3x2/2. Choosing x2 = 2, we obtain x1 = -3.

Therefore, the eigenvector for λ1 = 1 is [x1 x2] = [-3 2].

For λ = 2:

(A - λ2I)x = 0

[3 6][x1] = 0

[-2 -4][x2]

Solving the system of equations, we get x1 = -2x2/3. Choosing x2 = 3, we obtain x1 = -2.

Therefore, the eigenvector for λ2 = 2 is [x1 x2] = [-2 3].

Now, we construct the diagonal matrix D using the eigenvalues:

D = [1 0]

      [0 2]

The invertible matrix x is formed by using the eigenvectors as its columns:

x = [-3 -2]

     [2 3]

Finally, we can factor matrix A:

A = xDx^(-1)

b. Matrix A:

A = [2 2 1]

     [0 1 2]

     [0 0 -1]

To factor A into the form xDx^(-1), we follow a similar process as above. We find the eigenvalues, eigenvectors, diagonal matrix D, and invertible matrix x.

The eigenvalues of matrix A are λ1 = -1, λ2 = 1, and λ3 = 2.

The corresponding eigenvectors are:

For λ1 = -1: [-1 -2 1]

For λ2 = 1: [0 -1 2]

For λ3 = 2: [1 0 0]

The diagonal matrix D is:

D = [-1 0 0]

       [0 1 0]

       [0 0 2]

The invertible matrix x is formed using the eigenvectors:

x = [-1 0 1]

     [-2 -1 0]

     [1 2 0]

Thus, the factorization of matrix A is:

A = xDx^(-1)

Please note that I have computed the factorization based on the provided matrix A.

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Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \text{ \: ( \: 5 \: , \: 7 \: )}}}}}\)

Step-by-step explanation:

\( \star{ \sf{ \: let \: the \: points \: be \: A \: and \: B}}\)

\( \star{ \sf{ \: Let \: A ( 2 , 10 ) \: be \: ( x1 , y1 ) \: and \: B ( 8 , 4 ) \: be \: ( x2 , y2 )

}}\)

\( \underline{ \sf{ \: Finding \: the \: midpoint}}\)

\( \boxed{ \sf{midpoint = ( \frac{x1 + x2}{2} \: , \: \frac{y1 + y2}{2} )}}\)

\( \hookrightarrow{ \sf{Midpoint \: = \: ( \frac{2 + 8}{2} \: , \: \frac{10 + 4}{2}})} \)

\( \hookrightarrow{ \sf{Midpoint = ( \frac{10}{2} \: \: , \: \frac{14}{2} }})\)

\( \hookrightarrow{ \sf{Midpoint = (5 \: , \: 7}})\)

\( \text{Hope \: I \: helped !}\)

\( \text{Best \: regards !!}\)

~\( \text{TheAnimeGirl}\)

Answer:

228

Step-by-step explanation:

12 times 19

Answer:

#3

Step-by-step explanation:

For this... you just multiply the exponents together to get 6x

   any of the others that do NOT have 6x as a product of exponents is not equiv    ..... so #3 is not equivalent  

Option 3 is not equivalent to the given expression.

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

The given expression is (5²ˣ)³.

Now, (5⁶ˣ)

(5ˣ)⁶

(5²)³ˣ

Therefore, option 3 is not equivalent to the given expression.

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Answer:

biased

Step-by-step explanation:

i took the test and I got it right

To find the particular solution using the method of variation of parameters, we first need to determine the complementary solution by solving the homogeneous equation.

The homogeneous equation is given as: sin(x)y' + (2 sin(x)cos(x))y = 0

To solve this, we assume the solution is of the form y = e^(rx). Taking the derivative of y, we get y' = re^(rx).

Substituting these into the equation, we have:
sin(x)(re^(rx)) + (2 sin(x)cos(x))(e^(rx)) = 0

Rearranging the terms, we get:
e^(rx)(sin(x)r + 2sin(x)cos(x)) = 0

Since e^(rx) is never zero, we can equate the expression inside the parentheses to zero:
sin(x)r + 2sin(x)cos(x) = 0

Dividing through by sin(x), we have:
r + 2cos(x) = 0

Solving for r, we get:
r = -2cos(x)

Therefore, the complementary solution is given by:
y_c = e^(-2cos(x)x)

Next, we can find the particular solution using the method of variation of parameters.

We assume the particular solution is of the form y_p = u_1(x)y_1 + u_2(x)y_2, where y_1 and y_2 are the solutions of the homogeneous equation and u_1(x) and u_2(x) are functions to be determined.

The solutions y_1 and y_2 are given as:
y_1 = e^x
y_2 = e^(cos(x))

To find u_1(x) and u_2(x), we use the following formulas:

u_1(x) = -∫(y_2 * g(x))/(W(y_1, y_2)) dx
u_2(x) = ∫(y_1 * g(x))/(W(y_1, y_2)) dx

where W(y_1, y_2) is the Wronskian of y_1 and y_2, and g(x) = e^x / (sin(x)cos(x)).

The Wronskian can be calculated as:
W(y_1, y_2) = y_1y_2' - y_2y_1'

Substituting the values of y_1 and y_2, we get:
W(y_1, y_2) = e^x * (-sin(x) * e^(cos(x))) - e^(cos(x)) * (e^x)

Simplifying further, we have:
W(y_1, y_2) = -e^(x+cos(x))sin(x) - e^(x+cos(x))

Now we can calculate u_1(x) and u_2(x) using the formulas above.

Finally, the particular solution is given by:
y_p = u_1(x)y_1 + u_2(x)y_2

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The number of tractors lent by the first, second and third stations results in a system of three simultaneous equations which indicates;

The first originally station had 39 tractors, the second station had 21 tractors and the third station originally had 12 tractors

Simultaneous equations are a set of two or more equations that have common variables.

Let x represent the number of tractors at the first station, let y represent the number of tractors at the second tractor station, and let z, represent the number of tractors at the third tractor station

According to the details in the question, after the first transaction, we get

Number of tractors at the first station = x - y - z

Number of tractors at the second station = y + y = 2·y

Number of tractors at the third station = z + z = 2·z

After the second transaction, we get;

Number of tractors at the first station = 2·x - 2·y - 2·z

Number of tractors at the second station = 2·y - (x - y - z) - 2·z = 3·y - x - z

Number of tractors at the third station = 2·z + 2·z = 4·z

After the third transaction, we get;

Number of tractors at the first station = 2 × (2·x - 2·y - 2·z) = 4·x - 4·y - 4·z

Number of tractors at the second tractor station = 6·y - 2·x - 2·z

Number of tractors at the third tractor station = 4·z - (2·x - 2·y - 2·z) - (3·y - x - z) = 7·z - x - y

The three equations after the third transaction are therefore;
4·x - 4·y - 4·z = 24...(1)

6·y - 2·x - 2·z = 24...(2)

7·z - x - y = 24...(3)

Multiplying equation (2) by 2 and subtracting equation (1) from the result we get;

12·y - 4·x - 4·z - (4·x - 4·y - 4·z) = 16·y - 8·x = 48 - 24 = 24

16·y - 8·x = 24...(4)

Multiplying equation (3) by 2 and multiplying equation (2) by 7, then adding both results, we get;

14·z - 2·x - 2·y = 48

42·y - 14·x - 14·z = 168

42·y - 14·x - 14·z + (14·z - 2·x - 2·y) = 48 + 168

40·y - 16·x = 216...(5)

Multiplying equation (4) by 2 and then subtracting the result from equation (5), we get;

40·y - 16·x - (32·y - 16·x) = 216 - 48 = 168

8·y = 168

y = 168/8 = 21

The number of tractors initially at the second station, y = 21

16·y - 8·x = 24, therefore, 16 × 21 - 8·x = 24

8·x = 16 × 21 - 24 = 312

x = 312 ÷ 8 = 39

The number of tractors initially at the first station, x = 39

7·z - x - y = 24, therefore, 7·z - 39 - 21 = 24

7·z = 24 + 39 + 21 = 84

z = 84/7 = 12

The number of tractors initially at the third station, z = 12

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The value of average rate of change of y = 0.5x - 3 over the interval

- 3 ≤ x ≤ 4 is, 0.5.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The function is,

⇒ y = 0.5x - 3

Now, The average rate of change is,

⇒ y = 0.5x - 3

⇒ dy / dx = 0.5

Hence, The value of average rate of change of y = 0.5x - 3 over the interval  - 3 ≤ x ≤ 4 is, 0.5.

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Answer:

Step-by-step explanation:

love is the ability to feel so much passion and feeling towards something or someone. your happy when with them.

Answer:

Love is a set of emotions and behaviors characterized by intimacy, passion, and commitment. It involves care, closeness, protectiveness, attraction, affection, and trust. Love can vary in intensity and can change over time.

Step-by-step explanation:

stan twice

Answer:

Travis can buy a new bed for Rusty and 5 packages of dog treats for a total cost of $75 with a shipping fee of $15.

Step-by-step explanation:

Let x be the number of packages of dog treats Travis wants to buy.

The cost of the dog bed is $45.

The cost of the dog treats is $6 per package.

The shipping fee is $15 for orders less than $90.

To find out how many packages of dog treats Travis can buy without exceeding the $15 shipping fee, we can set up an inequality:

6x + 45 + 15 ≤ 90

Simplifying and solving for x, we get:

6x ≤ 30

x ≤ 5

Therefore, Travis can buy up to 5 packages of dog treats without exceeding the $15 shipping fee. If he buys 5 packages of dog treats, the total cost of his order will be:

Total cost = Cost of dog bed + Cost of 5 packages of dog treats + Shipping fee

Total cost = $45 + ($6 * 5) + $15

Total cost = $75

So, Travis can buy a new bed for Rusty and 5 packages of dog treats for a total cost of $75 with a shipping fee of $15.

The equation of the line through \((1,2)\) which make equal intercepts on the axis \(x+y=3\)

The equation of the line through (1,2) makes an equal intercept on the axis

The formula of the intercept form is

\(\frac{x}{a} +\frac{y}{b} =1\)

If they make an equal intercept

\(a=b\\\frac{x}{a} +\frac{y}{a} =1\\x+y=a\)

Put the value of the point in the axis, and we get.

\(1+2=a\\a=3\)

Put the value in the equation, and we get.

\(x+y=3\)

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In the re-vote of the school election, Terry beat Sandy by four votes. To determine how many voters switched from Sandy to Terry, we need to compare the difference in the number of votes between the initial election and the re-vote.

Initially, Sandy had beaten Terry by 82 votes. However, in the re-vote, Terry won by four votes.

This means that there was a swing of 86 votes in favor of Terry (82 votes that Sandy initially won by plus the additional four votes Terry won in the re-vote).

Therefore, the number of voters who switched from Sandy to Terry is 86 votes. These are the voters who initially supported Sandy but switched their support to Terry in the re-vote, resulting in Terry winning by a margin of four votes.

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Answer:

-2 is your answer hope this helps!

Answer:

-2

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

no

Answer: the answer is b

Step-by-step explanation:

Performing a Chi-Square test is a statistical tool used to determine if there is a significant difference between observed and expected data. The test helps to analyze categorical data by comparing observed frequencies to the expected frequencies. The p-value in a Chi-Square test refers to the probability of obtaining the observed results by chance alone.

If a p-value lower than 0.01 is obtained in a Chi-Square test, it means that the results are statistically significant. In other words, there is strong evidence to reject the null hypothesis, which states that there is no significant difference between the observed and expected data. This means that the observed data is not due to chance alone, but rather to some other factor or factors.

The mean, or average, is not directly related to the Chi-Square test or the p-value. The Chi-Square test is specifically used to determine the significance of the observed data. However, the mean can be used as a measure of central tendency for continuous data, but it is not applicable to categorical data.

In conclusion, obtaining a p-value lower than 0.01 in a Chi-Square test means that there is strong evidence to reject the null hypothesis, and that the observed data is statistically significant.

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