Solve both triangles below, where A= 45 degrees, c= 4.2 degrees, C= 40 degrees, N= 45 degrees, and m= 2. Round to the nearest tenth.

When we enter x = 3 into the first equation, we obtain: y = 2 log 3 y = 32     y = 9 .Hence, x=3 and y=9.

A log is a mathematical function used to calculate how many times the base, or initial value, must be increased by itself to produce the target value. In other terms, a logarithm is an exponent's negative action.

The base-10 logarithm is the most widely used type of logarithm, though there are other types as well. Some many mathematical and scientific tasks include the usage of logarithms, such as estimating the pH of a solution, gauging the volume of sound, and estimating population growth rates.

given

As we are aware that log x of y = 2, x2 = y.

We also understand that xy = 27.

When we change y in the second equation to x2, we obtain:

[tex]xx^{2} =7^{2} \\x^{3} = 27\\[/tex]

x = 3

When we enter x = 3 into the first equation, we obtain: y = 2 log 3 y = 32     y = 9 .Hence, x=3 and y=9.

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The correct order will be:

Length of the blue segment.   - 12 units

Length of the green segment (circumference of the base) - 18 units

Length of the orange segment. - 24 units

Area of one base.                - 452.4 unit²

Area of the rectangle.        -  2,261.9 unit².

A cylinder is a three-dimensional shape that consists of two parallel circular bases that are connected by a curved surface. The bases are usually identical in size and shape and are located on opposite ends of the cylinder. The curved surface that connects the bases is in the form of a rectangle that has been wrapped around the cylinder, creating a tube-like shape.

Area of one base =   r² = 3.142 × 12 × 12 = 452.448 = 452.4 unit².

Area of the rectangle = 2πr (h + r) = 2 × 3.142 × 12 (18 + 12) = 2,261.9 unit².

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To add 2/5 and 3/6, we need to find a common denominator for the two fractions. The smallest number that both 5 and 6 divide into evenly is 30. So, we can convert the two fractions to have a denominator of 30:

2/5 = 12/30 3/6 = 15/30

Now, we can add the two fractions by simply adding their numerators (since they have the same denominator):

12/30 + 15/30 = 27/30

We can simplify the fraction by reducing it to the lowest terms. Both the numerator and denominator have 3 as a factor, so we can divide them both by 3:

27/30 = (3 x 9) / (3 x 10) = 9/10

Therefore, the sum 2/5 + 3/6 is equal to 9/10.

Answer:

x=1/3

          ≈ 0.333333333

x=4

Step-by-step explanation:

Answer: (D) 12 to 4

Step-by-step explanation:

        First, we will find the number of people waiting in line for each activity.

➜ Bumper cars is 12

➜ Slingshot is 4

        Next, we will create our ratio. This is asking for Bumper cars to Slingshot, so Bumper cars is first with Slingshot second.

➜ 12 to 4

Each product of the fractions are

Part1. =17.33

Part2.= 0.73

Part3.=45.93

Multiplication is a mathematical operation that involves combining two or more numbers to obtain a product or result. Multiplication is a fundamental arithmetic operation that is used in a wide range of mathematical applications, from simple calculations such as calculating the area of a rectangle, to more complex problems in algebra, geometry, and calculus.

⅔×26

Multiplying 2 and 26, we get

52/3

Now, dividing it with3, we get

17.33

⅞×5/6

Multiplying 7 and 5 and 8 and 6, we get

35/48

Now, dividing 35 and 48, we get

.73

5 ⅕× 8 ×⅚

Solving the improper fractions;

26/5×53/6

Multiplying 26 and 53 and 5  and 6, we get

1378/30

Now, dividing 35 and 48, we get

45.93.

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The assertion is accurate. This mean option that is selected should be true

The formula c = √(a 2 + b 2), where a and b are the lengths of the semi-major and semi-minor axes, respectively, yields the foci of a hyperbola.

. A hyperbola is a particular kind of conic section that resembles two slightly mirrored parabolic curves. It is described as the collection of all points in a plane where the difference between the locations of two fixed points (referred to as foci) is always constant.

Each of the two branches of a hyperbola resembles a parabola. In relation to the hyperbola's centre, the branches are symmetric. The semi-major axis is the distance between the centre and each vertex, whereas the semi-minor axis is the distance between the centre and each terminal of the transverse axis.

When a² = 25 and b² = 9,

the hyperbola (x-1)2/25 - (y+3)2/9=1 can be calculated.

In light of this, c = √(25 + 9) = √ (34).

The hyperbola's center is located at (1, -3).

The foci are at (1 + √(34), -3) and (1 - √(34), -3), respectively.

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Answer:

4/64

Step-by-step explanation:

The spinner is independent (the total won't be effected)

we know there is 2 whites with 8 coloured option.

we want the probability of getting two whites.

2/8 x 2/8 = 4/64

there is 3 ways to work out probability, fraction, decimal and percentage (i'd personally say fraction is the most easiest)

Answer:

4

Step-by-step explanation:

2+2 = 4

The answer is 2+2 = 4.

Answer: 4y^2y-80+y^2/4y

Step-by-step explanation:

Answer:

------------------------------

Supplementary angles add up to 180°:

Substitute and solve for x:

Find the measure of ∠B:

The missing amounts for Work in Process - Blending Department are: 25,700 units, and $70,944 for direct materials.

Cost of Production Report

Bavarian Chocolate Company processes chocolate into candy bars.

The process begins by placing direct materials (raw chocolate, milk, and sugar) into the Blending Department.

All materials are placed into production at the beginning of the blending process.

After blending, the milk chocolate is then transferred to the Molding Department, where the milk chocolate is formed into candy bars.

The following is a partial work in process account of the Blending Department at October 31:

ACCOUNT Work in Process—Blending Department ACCOUNT NO.

Date Item Debit Credit Balance

Debit Balance

Credit

October 1 Bal., 2,300 units, 3/5 completed 46,368

31 Direct materials, 26,000 units 429,000 475,368

31 Direct labor 100,560 575,928

31 Factory overhead 48,480 624,408

31 Goods transferred, 25,700 units.

1. Prepare a cost of production report, and identify the missing amounts for Work in Process—Blending Department. If an amount is zero enter "0". If required, round your cost per equivalent unit answers to the nearest cent.

Bavarian Chocolate Company

Cost of Production Report—Blending Department

For the Month Ended March 31

Bavarian Chocolate Company

Cost of Production Report—Blending Department

For the Month Ended October 31

Equivalent Units Schedule

Direct Materials Conversion Costs

Units to be accounted for:

Work in process, October 1 (3/5 completed) 2,300 2,300

Units started in October 26,000 26,000

Total units to be accounted for 28,300 28,300

Units accounted for:

Goods transferred to the Molding Department (25,700 units × 100%) 25,700 25,700

Work in process, October 31 (1/5 completed):

Total units accounted for:

Costs to be accounted for:

Direct materials cost $429,000

Direct labor cost $100,560

Factory overhead cost $48,480

Total costs to be accounted for $578,040

Costs accounted for:

Direct materials cost (26,000 units × $15 per unit) $390,000

Direct labor cost (2,300 units × $44 per unit) 101,200

Factory overhead cost (2,300 units × $21.12 per unit) 48,576

Total costs accounted for $539,776

Cost per Equivalent Unit:

Direct materials cost ($429,000 ÷ 28,300 units) $15.16

Direct labor cost ($100,560 ÷ 2,300 units) $43.74

Factory overhead cost ($48,480 ÷ 2,300 units) $21.12

Total cost per equivalent unit $80.02

Work in Process—Blending Department

Direct Materials Conversion Costs Total

Balance, October 1 $27,820 $18,548 $46,368

Current costs $352,380 $222,548 $574,928

Total cost $380,200 $241,096 $621,296

Less: Goods transferred to the Molding Department (25,700 units × $80.02 per unit) (2) $2,048 $2,048

Balance, October 31 (2) $378,152 (2) $239,048 (2) $617,200

(1) Equivalent units of direct materials and conversion costs have been calculated based on the weighted-average method.

(2) The missing amounts for Work in Process—Blending Department are:

Units, October 31: 2,600 units (28,300 total units – 25,700 transferred units).

Direct Materials, October 31: $352,380 (current costs) - $390,000 (costs accounted for) = -$37,620 (overallocated)

Conversion Costs, October 31: $222,548 (current costs) - $241,096 (costs accounted for) = -$18,548 (overallocated).

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Answer: First one (top left)

Step-by-step explanation:

Answer:

One in the top left corner

Hope this helps!

Step-by-step explanation:

Answer: 363+368=731

Step-by-step explanation:

The actual selling price of the camera after the 25% discount is $345.

The amount received by the buyer is the selling price of a product or service. Although the seller sets the price, a number of variables affect how the seller arrives at that particular figure. Depending on the seller's discretion, different customers may pay different prices for the same good or service.

If the normal price of the camera is $460, a 25% reduction in price would be:

25% of $460 = 0.25 x $460 = $115

This means the reduction in price when buying the camera duty-free is $115.

So the actual selling price of the camera after the discount is:

$460 - $115 = $345

Therefore, the actual selling price of the camera after the 25% discount is $345.

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The correct statements are:

Explanation:

The function f(x) represents the total amount of money that Mailani has saved after x years. The first term 500 represents the initial amount she saved in the box under her bed, and the second term (1+0.04)^x represents the amount she deposited into the savings account, which earns an interest rate of 4% compounded annually. The third term +200 represents the additional amount she deposited every year into the savings account.

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Full question:

Mailani saves some money in a box under her bed. She deposits an additional amount into a savings account where it earns interest compounded annually. . This situation can be modeled by the function  

[tex]f(x)= 500(1+0.04)^x+200[/tex]

Which statements are true? Select all that apply.

Answer:

Step-by-step explanation:

To express the difference in mean weights as a multiple of the MAD for both dog breeds, we can use the formula:

(difference in means) / (mean absolute deviation)

Let's plug in the values given in the problem:

(difference in means) = 13 - 11.5 = 1.5

(mean absolute deviation) = 2 + 1.8 / 2 = 1.9 (taking the average of the two MADs)

Now we can calculate:

(difference in means) / (mean absolute deviation) = 1.5 / 1.9 ≈ 0.7895

Therefore, the difference in mean weights between the two breeds is approximately 0.7895 times the average MAD for both breeds.

The probability that the next person will purchase more than one costume as a percent to the nearest whole number is 3%

.Out of the total 80 + 32 + 3 = 115 visitors, 80 did not purchase any costumes and 32 purchased exactly one costume. This means that the remaining 3 visitors purchased more than one costume.

Therefore, the probability that the next person will purchase more than one costume is 3/115, which is approximately 0.0261.

To express this as a percentage to the nearest whole number, we need to multiply by 100 and round to the nearest integer. Thus, the answer is:

0.0261 × 100 ≈ 3%

Therefore, the probability that the next person will purchase more than one costume is approximately 3%.

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The function has the maximum revenue of $348,480 with the increasing rate of $33.

The highest and smallest values of a function, respectively, can either be found inside a specific range or distributed throughout the entire domain. They are also sometimes referred to collectively as the function's extrema. The plural forms of a function's maximum and minimum are called maxima and minima, accordingly.

Given data:

The overall revenue is thus:

y = (36 - 0.50x)(9600 + 160x)

Differentiate with respect to x.

y ' = (-0.50)(9600 + 160x) + 160(36 - 0.50x)

y' = -4800 - 80x + 5760 - 80x

y' = 960 - 160x

To find x, put y' = 0

960 - 160x = 0

x = 960/160 = 6 (critical point)

Function is decreasing in interval - [6, +∞)

Increasing Function in interval - (-∞, 6]

Thus, the function has the maximum value at x = 6.

maximum revenue f(6):

f(6) = (36 - 0.50x)(9600 + 160x)

f(6) = (36 - 0.50(6))(9600 + 160(6))

f(6) = $348,480

Rate : 36 - 0.50(6) = $33

The function has the maximum revenue of $348,480 with the increasing rate of $33.

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The solutions to the equation are x = a and x = a/2.

We can simplify the left-hand side of the equation using the common denominator of x^3:

(x-a)x/x^3 + (x-a)(-1)/(3a^2 x^3) + (x-a)(-2)/(3a x^3) + (x-a)(1)/(x^3)

= [(x-a)x^2 - (x-a)/(3a^2) - 2(x-a)/(3a) + (x-a)x]/x^3

= [(x^3 - a^3)/x^2 - (1/(3a^2))(x-a) - (2/(3a))(x-a)]/x

= [(x^2 + ax + a^2)(x-a)/(x^2 a^2) - (x-a)/(3a^2) - (2/3)(x-a)/a]/x

= (x^2 + ax + a^2)/(x^2 a^2) - 1/(3a^2) - 2/(3a)/x

= (3x^2 + 3ax + 3a^2 - x^2 a - ax^2 - a^3)/(3a^2 x^2)/x

= (2x^2 + 3ax + 3a^2 - ax^2 - a^3)/(3a^2 x^2)/x

= (x^2 + 3ax + 3a^2 - a^3)/(3a^2 x^2)/x

Now, we can see that the expression on the right-hand side is:

(x-a)/(x^3)

Multiplying both sides by x^3, we get:

(x-a)x = (x^2 + 3ax + 3a^2 - a^3)/3a^2

Multiplying both sides by 3a^2, we get:

(x-a)3a^2x = x^2 + 3ax + 3a^2 - a^3

Expanding (x-a)(3a^2)x, we get:

3a^2x^2 - 3a^3x = x^2 + 3ax + 3a^2 - a^3

Moving all terms to one side, we get:

2x^2 - 3ax + 2a^2 = 0

This is a quadratic equation, and we can solve for x using the quadratic formula:

x = [3a ± sqrt((9a^2 - 8a^2)/4)]/4

x = [3a ± a]/4

x = a or x = 2a/4 = a/2

Therefore, the solutions to the equation are x = a and x = a/2.

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After answering the presented question, we can conclude that As a result, the average monthly rate of change in price during the housing bubble was $2,000.

The term "average rate" can have different meanings depending on the context in which it is used. In general, it refers to the amount of change that occurs over a certain period of time, divided by the length of that time period. Here are a few examples of how the term might be used in different fields.

The average monthly rate of change in price can be estimated by dividing the total price change by the number of months:

(final price - beginning price) / number of months = average rate of change

The beginning price was $240,000, the final price was $276,000, and the time duration was 18 months in this example. Hence, using these data, we can calculate the average rate of change as:

(276000 - 240000) / 18 = 36000 / 18 = 2000 Average rate of change

As a result, the average monthly rate of change in price during the housing bubble was $2,000.

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Answer:

( x - 5 )

Hope this helps!

Step-by-step explanation:

[tex]2x^{2} -7x-15[/tex] can factor into ( 2x + 3 ) ( x - 5 ).

( 2x + 3 ) ( x - 5 ) = ( cross multiply ) : [tex]2x^{2} -10x + 3x - 15[/tex] = [tex]2x^{2} -7x-15[/tex].

Answer:

Step-by-step explanation:

[tex]\frac{275}{8}=34,375[/tex]

The quadratic function's equation, when given the numbers in the table, can be found to be f(x) = x^2 - 5x + 6.

We are given a table of values and need to find the quadratic function in standard form: f(x) = ax^2 + bx + c. Let's use the points (-6, 72), (-4, 42), and (-3, 30).

For point (-6, 72):

72 = a(-6)^2 + b(-6) + c

For point (-4, 42):

42 = a(-4)^2 + b(-4) + c

For point (-3, 30):

30 = a(-3)^2 + b(-3) + c

Let's use the elimination method.

1 - 3) 42 = 27a - 3b

2 - 3) 12 = 7a - b

b = 7a - 12

Substitute this expression for b into the first equation:

42 = 27a - 3(7a - 12)

42 = 27a - 21a + 36

6 = 6a

a = 1

Now that we know a = 1, let's find b:

b = 7(1) - 12

b = -5

Finally, let's find c by substituting a and b into any of the original equations. We'll use the first one:

72 = 36(1) - 6(-5) + c

72 = 36 + 30 + c

6 = c

So, the quadratic function in standard form is:

f(x) = x^2 - 5x + 6

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Answer:

Step-by-step explanation:

a) The steering committee of 5 can be chosen from 15 members in 15 nCr 5 ways. Once the committee is chosen, the chair can be selected in 5 ways and the secretary can be selected in 4 ways (since the chair cannot also be the secretary). Therefore, the total number of different sets of committees (including officer selection) is:

15 nCr 5 * 5 * 4 = 3,003,600

b) Each of the 6 raffle prizes can be awarded to any of the 100 people, so there are 100 choices for the first prize, 99 choices for the second prize, and so on, down to 95 choices for the sixth prize. However, since the three $25 prizes are equivalent, we need to divide by 3! to account for the ways in which the $25 prizes can be arranged. Therefore, the total number of different raffle ticket winner selections is:

(100 * 99 * 98 * 97 * 96 * 95) / (3!) = 903,450,240,000

c) Since repeats are allowed and the code cannot begin with 0, there are 9 choices for the first digit and 10 choices for each of the remaining digits. Therefore, the total number of six-digit PIN codes that can be made is:

9 * 10^5 = 9,000,000

The total surface area must be calculated by adding the areas of all five faces, the four triangular faces, and the square base.

The term "square pyramid" refers to a three-dimensional geometric form with a square base and four triangular faces or sides that meet at a single point (known as a vertex). Because it has five faces, it is referred to as a pentahedron.

Given :

Let s represent the square base's side length and h represent the slant height of each triangle face. The area of a single triangle is then determined by:

A = (1/2) * s * h

The areas of all five face the four triangular faces and the square base must be added up in order to determine the overall surface area of the pyramid.

The overall surface area is: since the square base has a simple area of s2.

When we replace A with the expression, we obtain:

We require further details regarding the pyramid in order to determine the values of s and h.

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En resumen, al dividir Sea=4x⁵-x³+7 entre b(x)=2x⁵+x², obtenemos un cociente de 2x³-x² y un residuo de -2x²+7.

Para encontrar los cocientes y el residuo al dividir Sea=4x⁵-x³+7 entre b(x)=2x⁵+x², debemos realizar la división larga de polinomios. El procedimiento es similar a la división larga de números enteros:

        2x³    -x²    +0x   +0
   ---------------------------------
2x⁵ |  4x⁵   +0x⁴  -x³   +0x²  +0x  +7
        4x⁵   +0x⁴
       -------------
            0x⁴  -x³
            0x⁴  +0x³
           -------------
                   -x³   +0x²
                   -x³   +0x²
                   -------------
                            0x²  +0x
                            0x²  +0x
                            ------------
                                      7
                                      2x⁵  +x²
                                      --------
                                         -2x²  +7

Por lo tanto, el cociente de la división es 2x³-x², y el residuo es -2x²+7. Es importante notar que el grado del residuo (grado 2) es menor que el grado del divisor b(x) (grado 5), como se requiere en la definición de la división de polinomios.

La respuesta a la pregunta "cuál es la conciente de que (x)" no es clara, ya que no está claro lo que se está pidiendo. Podría ser una pregunta incompleta o una cuestión mal redactada.

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The equation of the line is 3y-5x=3 and the graph is attached.

Geometrically speaking, a line is a one-dimensional figure because it has length but no width. A group of points can be extended endlessly in opposing directions to form a line. Two points in a two-dimensional plane determine it. There are, however, additional ways to formulate the equation of a line in a two-dimensional coordinate system. The three most popular methods are the point-slope form, slope-intercept form, and general or standard form of the equation of a line. As its name suggests, the point-slope form combines a line point and a straight-line slope. The equations of infinite lines with a particular slope can be expressed, however when we specify that the line passes through a particular point, we get a singularity.

the equation of a line is

y-y'=m(x-x')

[tex]y+4=\frac{5}{3}(x+3)\\\\3y+12=5x+15\\3y-5x=3[/tex]

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