??
X 1 (25 pts.) Determine a E R so that the system X1 + (a – 1)x2 + x4 = 0 (a – 2)x1 – ax2 – 24 = X1 + (a – 1)x2 + ax3 + x4 -1 axi + (a – 1)x2 + (a + 4)x3 + x4 = 0 may be solved by Cramer's

Fred Meyer's unit Rate: $2.17 per pound.

Costco's unit Rate: $2.10 per pound.

Better Price:​  Costco has the better price for cheddar cheese.

To determine who has the better price for cheddar cheese, let's calculate the unit rate for both Fred Meyer and Costco.

Fred Meyer:

Cheddar cheese is priced at $6.50 for 3 pounds. To find the unit rate, we divide the price by the quantity: $6.50 ÷ 3 pounds = $2.17 per pound.

Costco:

Costco offers 10 pounds of cheddar cheese for $21. To find the unit rate, we divide the price by the quantity: $21 ÷ 10 pounds = $2.10 per pound.

Comparing the unit rates, we can see that Fred Meyer's cheddar cheese is priced at $2.17 per pound, while Costco's cheddar cheese is priced at $2.10 per pound.

Therefore, based on the unit rates, Costco has the better price for cheddar cheese. They offer it at a slightly lower price per pound compared to Fred Meyer. Customers can save $0.07 per pound by purchasing cheddar cheese from Costco instead of Fred Meyer.

However, it's important to note that price isn't the only factor to consider when deciding where to purchase cheddar cheese. Other factors such as location, quality, convenience, and personal preferences should also be taken into account.

Additionally, it's always a good idea to compare prices and consider any ongoing promotions or discounts that might affect the final decision.

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Answer:

P =3Q +21

Step-by-step explanation:

Given: Rahim was asked to make p the subject of this formula

Q = p/3 - 7

He started his answer as follows

3Q = p - 21 hence p =

To Find, Complete Rahim's final answer.

Solution:

Q = p/3 - 7

Multiply both sides by 3

3Q = 3(p/3 - 7)

3Q = 3 × p/3 - 3 × 7

3Q = p - 21

Adding 21 both sides

3Q + 21 = p -21 +21

3Q + 21 = p

interchange sides

p = 3Q + 21

hence p =3Q +21

Answer:

100 probably

Step-by-step explanation:

Becuase it was bisected and bisect me as to divide in to two.. So when u get 50 deg.. The total is 100

Answer:

Independent Events

Step-by-step explanation:

Given

\(Green = 3\\ Orange = 2\\ Red = 5\)

Required

Dependent or independent event

The probability of selecting a green jelly remains unchanged before and after selecting the first orange jelly.

Before selecting the orange jelly:

\(P(Green) = \frac{Green}{Total}\)

\(P(Green) = \frac{3}{10}\)

After selecting the orange jelly:

\(P(Green) = \frac{Green}{Total}\)

\(P(Green) = \frac{3}{10}\)

Because the probabilities remain unchanged, the selection of a green jelly is independent of the selection of the first orange jelly.

Answers:

Slope = 3/4

y intercept = -1/2

================================================

Explanation:

The form y = mx+b is known as slope intercept form

m is the slope and b is the y intercept

Comparing y = (3/4)x - 1/2 to y = mx+b, we see that

m = 3/4

b = -1/2

Answer:

-9 is a rational number and an integer.  

Step-by-step explanation:

A rational number is any number that can be expressed as a fraction. -9 can be written as \(-\frac{9}{1}\), thus it is a rational number.  

A whole number is a number that is not negative and does not have fractions or decimals. -9 is negative, thus it is not a whole number.

An integer is a number with no fractions or decimals, but it can be negative or positive. -9 meets these requirements, thus it is an integer.

An irrational number is a number that cannot be written as a fraction. Irrational numbers are not rational. Thus, -9 is not an irrational number.

So, -9 is a rational number and an integer.  

Answer:

A. 5.75

Step-by-step explanation:

11.5/2 = 5.75

Answer:

a) 2.1186

b) 13.591%

Step-by-step explanation:

Resolvemos usando la fórmula de puntuación z

z = (x-μ) / σ, donde

x es la puntuación bruta =

μ es la media de la población = 500g

σ es la desviación estándar de la población = 5 g

a) Calcula la probabilidad de encontrar una caja que pese menos de 496 gramos.

Para x = 496g

z = 496 - 500/5

z = -0.8

Valor de probabilidad de Z-Table:

P (x <496) = 0.21186

La probabilidad de encontrar una caja que pese menos de 496 gramos es 0.21186

b) ¿Qué porcentaje de cajas pesan entre 505 gy 510 g?

Para x = 505 g

z = 505 - 500/5

z = 1

Valor de probabilidad de Z-Table:

P (x = 505) = 0.84134

Para x = 510g

z = 510 - 500/5

z = 2

Valor de probabilidad de Z-Table:

P (x = 510) = 0.97725

La probabilidad de cajas que pesen entre 505 gy 510 g

P (x = 510) - P (x = 505)

= 0.97725 - 0.84134

= 0.13591

Conversión a porcentaje

= 0.13591 × 100

= 13.591%

El porcentaje de cajas que pesan entre 505g y 510g es del 13.591%

Answer:

r = ∛(4v/3л)

Step-by-step explanation:

v = 3/4  л r³         (л = pi)

v/л = 3/4 r³

4v/3л = r³

∛(4v/3л) = ∛r³

r = ∛(4v/3л)  

In backtracking with conflict-directed back-jumping, the search for a solution to a problem is performed using a depth-first search algorithm. The variable order you mentioned, (a1, h, a4, f1, a2, f2, a3, t), represents the sequence in which variables are assigned values during the search. The value order, (red, green, blue), indicates the order in which the algorithm will try assigning different values to the variables.

Conflict-directed back-jumping is an improvement over basic backtracking, as it helps reduce the search space by identifying and jumping over irrelevant parts of the search tree. When a conflict (i.e., an unsolvable assignment) is encountered, the algorithm doesn't simply backtrack to the previous variable but rather identifies the cause of the conflict and jumps back to the most recent variable responsible for the conflict. This allows the algorithm to skip parts of the search tree that are guaranteed not to yield a solution.

In summary, backtracking with conflict-directed back-jumping is an efficient search technique that uses a specific variable and value order to assign values during the search. It improves upon basic backtracking by identifying the cause of conflicts and jumping back to the most recent relevant variable, thus reducing the search space and time complexity.

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The position of the weight at time t is given by: y (3/70) exp(- 8 t) - (3/70) exp(6 t). when 24 pound weight stretches a spring 2/3 foot and damping is 12 times the velocity

From Hooke's law, we know that the force exerted by the spring is proportional to the amount of extension or compression of the spring from its equilibrium position. The force F exerted by the spring is given by:F = - kx where k is the spring constant.

W = mg where W is the weight of the object, m is the mass of the object, and g is the acceleration due to gravity which is 32 ft/s². Substituting the values of W and g, we get:m g = 24 lbs * 32 ft/s² = 768 lb.ft/s²From the formula for the weight, we can find the force exerted by the weight on the spring.

This force is given by: F = m g = 768 lb.ft/s² This force is equal and opposite to the force exerted by the spring on the weight. Hence,F = - kx Substituting the values of F, x and k, we get :768 lb.ft/s² = - k * 2/3 ftk = - (768 lb.ft/s²) / (2/3 ft)k = - 1152 lb/s²

Substituting the values of m, c and k, we get:24 lb * y" + 12 * y' - 1152 y = 0The general solution of this differential equation is given by:y = C₁ exp(r₁ t) + C₂ exp(r₂ t)where C₁ and C₂ are constants and r₁ and r₂ are the roots of the characteristic equation:r² + (12/24) r - 1152/24 = 0r² + (1/2) r - 48 = 0

Solving this quadratic equation, we get:r₁ = - 8, r₂ = 6The general solution of the differential equation is:y = C₁ exp(- 8 t) + C₂ exp(6 t) To find the values of C₁ and C₂, we use the initial conditions:y(0) = 0 (since the weight is released from rest)y'(0) = 0 (since the weight is released from rest)

Substituting these values in the general solution, we get:0 = C₁ + C₂ (since exp(0) = 1)0 = - 8 C₁ + 6 C₂ (since the derivative of exp(- 8 t) is - 8 exp(- 8 t) and the derivative of exp(6 t) is 6 exp(6 t)) Solving these equations, we get:C₁ = 3/70, C₂ = - 3/70 Hence, the position of the weight at time t is given by:y = (3/70) exp(- 8 t) - (3/70) exp(6 t) Answer:At time t, the position of the weight is given by:y = (3/70) exp(- 8 t) - (3/70) exp(6 t).

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The given data sample contains all integers from 530 to 380 and all integers from 379 to 531. This means that the sample includes 152 integers in total. To find the mean of the sample, we need to add up all the numbers and divide by the total number of integers.

To do this, we can take the average of the two endpoints (530 and 380), which is 455. Then we can add the sum of the integers between 380 and 530, which is (530-381+1) + (530-379) = 150 + 151 = 301. Finally, we divide the total sum by the number of integers, which is 152, and get:

Mean = (455 + 301) / 152 = 3.980263158

Therefore, the mean of the given data sample is approximately 3.9803.

In summary, we can find the mean of a sample by adding up all the numbers and dividing by the total number of items. In this particular sample, we first found the average of the two endpoints and then added the sum of all the integers between them to find the total sum. Finally, we divided the total sum by the number of integers to find the mean of the sample.

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Multiply the number by 8. Add 12 to the product. Divide this sum by 2. Subtract 6 from the quotient is n.

A quotient in mathematics is the amount created by dividing two integers. The term "quotient" is used frequently in mathematics and is sometimes known as the integer portion of a division, a fraction, or a ratio.

Assume the number to be n

Adding by 12, we get 2n+12

Dividing by 2, we get 2n+12/2

Subtracting 6, we get 2n+12/2-6

These are the required steps and the result is 2/2(n+6)-6=n+6-6=n

which is the original number

What are basic operations?

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Answer:

−5z−21

Step-by-step explanation:

If factored it is :-5z-21

Answer:

-21-5z

Step-by-step explanation:

-1+(-10)+(-10)-5z

-1-10-10-5z

-1-20-5z

-21-5z

Answer:

1. -1/2

2. 3/-2

3. 1/2/2

4. 7/2

Step-by-step explanation:

Hope it helped

Answer:

Answer:

discovery of jupiter's mons which did not orbit earth

Step-by-step explanation:

Answer:

y = -3x+9

Step-by-step explanation:

Parallel lines have the same slope

y = -3x+2  

This is in slope intercept form where y =mx+b where m is the slope

The slope is -3

y = -3x+b

Using the point (2,3)

3 = -3(2)+b

3 = -6+b

Add 6 to each side

3+6 = b

9=b

y = -3x+9

Answer:

slope (m) = -3

3= -3(2)+b

b = 9

y=mx+b → y= -3x+9

OAmalOHopeO

Answer:

X=20 degree

Step-by-step explanation:

∆A+∆D+∆O=180

2x+10+2x+90=180

collect like terms

2x+2x=180-100

4x=80

(4x)/4=(80)/4

x=20 degree

Answer:

\(angles \: of \: triangle \: add \: up \: to \: {180}^{0} \\ {(2x + 10})^{0} + {(2x)}^{0} + {90}^{0} = {180}^{0} \\ 4x = {(180 - 90 - 10)}^{0} \\ 4x = {80}^{0} \\ x = {20}^{0} \)

Answer:

Width __6___ cm

Length __12__ cm

Step-by-step explanation:

hello :

x : the width   and y : Length    P : the  perimeter

P=2(x+y )        but : P=36cm  and : y = 2x

36 = 2(x+2x)

36 = 2(3x)

6x =36   so : x=6 cm   and y = 2×6=12cm

Step-by-step explanation:

If breadth is b,then length will be 2b,so

Perimeter=36

2(2b+b)=36

3b=18

b=6,so,l=2×6=12

So,length is 12 and breadth is 6,

Hope it helps…

she sold 2 trays, and each tray contains 12 meat slices and 19 cheese slices

Explanation

Step 1

Let

Each party tray contained the same number of meat slices,so

the total number of party trays and slices of meat and cheese Doris sold is

it means she sold 2 trays, and each tray contains 12 meat slices and 19 cheese slices

I hope this helps you

The row vectors of the matrix are [-2 -3 1 0], and the column vectors are:

In a matrix, row vectors are the elements listed horizontally in a single row, while column vectors are the elements listed vertically in a single column. In this case, the given matrix is a 1x4 matrix, meaning it has 1 row and 4 columns. The row vector is [-2 -3 1 0], which represents the elements in the single row of the matrix. The column vectors, on the other hand, can be obtained by listing the elements vertically. Therefore, the column vectors for this matrix are -2, -3, 1, and 0, each listed in a separate column.

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Therefore, the simplified sum of the expression 7 1/4 and 4 5/12 is 35/3 that is option D, 11 2/3.

In mathematics, an expression is a combination of symbols and/or numbers that represents a quantity or a mathematical relationship between quantities. Expressions can be simple or complex, and can involve arithmetic operations, algebraic operations, functions, and variables.

Here,

To add these mixed numbers, we need to first convert them to improper fractions with the same denominator:

7 1/4 = 28/4 + 1/4

= 29/4

4 5/12 = 48/12 + 5/12

= 53/12

Now, we can add the fractions:

=29/4 + 53/12

To find a common denominator, we can multiply the denominator of the first fraction by 3 and the denominator of the second fraction by 1:

29/4 × 3/3 = 87/12

53/12 × 1/1 = 53/12

Now we have the same denominator, so we can add the numerators:

87/12 + 53/12 = 140/12

We can simplify by dividing the numerator and denominator by their greatest common factor, which is 4:

140/12 ÷ 4/4 = 35/3

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Total money he raised over the two days is $322.5.

Given in question,

No. of pies he sold on Monday = 6

No. of cakes he sold on Monday = 11

No. of pies he sold on Tuesday = 8

No. of cakes he sold on Tuesday = 7

Price of one pie = $8.25

Price of one cake = $11.50

Total pies he sold on both days = 6 + 8

                                                     = 14

Total money is earned with pies = 14*8.25

                                                      = 115.5

Total cakes he sold on both days = 11 + 7

                                                        = 18

Total money he earned with cakes = 18*11.50

                                                           = 207

Total money he raised = 115.5 + 207

                                      = 322.5

Hence, total money he raised is $322.5.

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a. The coordinates after the rotation are: D(-5, 4) → D' (5, -4), E(3, 6) → E'(3, -6), and F(4, 2) → F'(4, -2) b. The general rule below that describes the rotation are: (x, y) → (x, -y).

According to the definition of a transformation in mathematics, a transformation is a geometric shape or formula that has been altered, mapping the shape or formula from its preimage, or initial position, to its image, or after-transformation position. Because transforming a function to a different space offers a fresh viewpoint on the issue, scientists and mathematicians employ transformations to simplify a problem. Scientists frequently shift a function, manipulate it, and then transform it back to its original place because this fresh perspective can make computations easier in the new space than in the old one.

a. The coordinates after the rotation are:

D(-5, 4) → D' (5, -4)

E(3, 6) → E'(3, -6)

F(4, 2) → F'(4, -2)

b. The general rule below that describes the rotation are:

(x, y) → (x, -y)

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Answer: 529.3 downloads

Explanation:

Standard version size = 2.1 MB

High quality version = 4.7 MB

The high-quality version was downloaded twice as often as the standard version

H = 2 S

The total size downloaded for the two versions = 3335 MB

H + S = 3335

We have the system:

H = 2 S (a)

H + S = 3335 (b)

Put A into B

(2S ) + S = 3335

3S = 3335

S= 3335/3

S= 1,111.67 MB

Divide the total MB of standard versions by the size of each standard version.

1,111.67 / 2.1 = 529.3 downloads

The equation of the tangent line to the curve y = 16x sin(x) at the point (π/2, 8π) is y = 16x.

To find the equation of the tangent line to the curve y = 16x sin(x) at the point (π/2, 8π), we need to determine the slope of the tangent line and use the point-slope form of a linear equation.

The slope of the tangent line at a specific point on a curve can be found by taking the derivative of the function at that point.

Given y = 16x sin(x), let's find its derivative:

dy/dx = d/dx (16x sin(x))

      = 16 (sin(x) + x cos(x))

To find the slope of the tangent line at (π/2, 8π), substitute x = π/2 into the derivative:

dy/dx = 16 (sin(π/2) + (π/2) cos(π/2))

      = 16 (1 + (π/2) * 0)

      = 16

Therefore, the slope of the tangent line at (π/2, 8π) is 16.

Now, using the point-slope form of a linear equation, we can write the equation of the tangent line:

y - y₁ = m(x - x₁),

where (x₁, y₁) is the point (π/2, 8π), and m is the slope of the tangent line.

Substituting the values, we have:

y - 8π = 16(x - π/2).

Simplifying:

y - 8π = 16x - 8π.

Rearranging the terms, we get the equation of the tangent line:

y = 16x.

Therefore, the equation of the tangent line to the curve y = 16x sin(x) at the point (π/2, 8π) is y = 16x.

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Answer:

I can't this type of mathematics

Answer:

29) x = 12

30) x = 6

31) x = -4

32) x = 5

Not sure if the degree symbol is needed for the answer.

Step-by-step explanation:

Apply angle sum of triangles to all 4 questions.

29) (3x + 4) + 50 + 90 = 180 i.e. x = 12

30) (8x + 7) + 35 + 90 = 180 i.e. x = 6

31) 64 + 65 + (x + 55) = 180 i.e. x = -4

32) 70 + 35 + (14x + 5) = 180 i.e. x = 5

Answer:

The probability that the next person asked has two pets is 0.176

Step-by-step explanation:

The given parameters are;

The frequency distribution of the number of pets owned is presented as follows;

Number of Times    \({}\)    Frequency  \({}\)      

None                          \({}\)   354

One                          \({}\)     981

Two                          \({}\)     352

Three                          \({}\)  200

Four                           \({}\)    113

The probability that the next person asked has two pets = Proportion of the sample that own two pets = 352/(354 + 981 + 352 + 200 + 113) = 0.176

Therefore, the probability that the next person asked has two pets = 0.176

This indicates that approximately 47.7% of the sampled subjects responded definitely or probably not beneficial to family planning.

From the given data, we can analyze the proportions of respondents who considered family planning beneficial and those who did not.

The proportion of respondents who responded definitely or probably beneficial is 651 out of 1245 sampled subjects. Therefore, the proportion can be calculated as:

Proportion = 651/1245 ≈ 0.523

This indicates that approximately 52.3% of the sampled subjects responded definitely or probably beneficial to family planning.

On the other hand, the proportion of respondents who responded definitely or probably not beneficial is 594 out of 1245 sampled subjects. The proportion can be calculated as:

Proportion = 594/1245 ≈ 0.477

This means that roughly 47.7% of the sampled participants indicated that family planning was either definitely advantageous or probably not beneficial.

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Answer:

-x-2

Step-by-step explanation:

x+5 + -4x -2 + 2x -1 = -x -2

Answer:

-x + 2

Step-by-step explanation:

(x + 5), (-4x -2), and (2x -1)

x + (-4x) + 2x) + (5 + -2 + -1)

= -x + 2