Which system of measurement uses the minim as the basic unit of liquid measure?

Answer:

360 in

Step-by-step explanation:

To figure out how many inches the dressmaker has in 10, 3 ft rolls, we can multiply by the conversion ratio:

\(\dfrac{12 \text{ in}}{1\text{ ft}} \\ \\ \text{} \ \ \implies (10 \cdot 3 \text{ ft}) \cdot \dfrac{12 \text{ in}}{1\text{ ft}} \\ \\ \text{} \ \ \implies 30 \text{ ft} \cdot \dfrac{12 \text{ in}}{1\text{ ft}} \\ \\ \text{} \ \ \implies 30\cdot 12 \text{ in} \\ \\ \text{} \ \ \implies \boxed{360 \text{ in}}\)

So, the dressmaker has 360 in of ribbon.

(3x10) + (4x1) = 34

(4x10) + (3x1) = 43

There are three tens in 34 and 4 tens in 43, and there are 4 ones in 34 and 3 ones in 43

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First term (a1) = -7

Second term (a2) = -2

Common difference: a2 - a1 = -2-(-7) = 5

Hence, Fifth term = a1 + 4d = -7 + 4(5) = 13

Answer:

3m^2 + 5n = 3

Step-by-step explanation:

3(16) + 5(-13) =

48 - 45 =

3

Answer:d. 6500

Step-by-step explanation:

Answer: D)$6500

Step-by-step explanation: took the quiz

Ashley used a pair of shapes known as "rhombuses" in her design. Rhombuses are quadrilaterals that have at least two pairs of parallel sides and at least three equal-length sides.

A rhombus is a quadrilateral with the following properties:

It has four sides of equal length.

It has opposite sides that are parallel to each other.

It has diagonals that bisect each other at right angles.

From the given description, Ashley's shapes have at least three equal-length sides, which matches the first property of a rhombus. Additionally, both shapes have at least two pairs of parallel sides, which satisfies the second property of a rhombus.

Other types of quadrilaterals, such as rectangles and squares, also have at least two pairs of parallel sides. However, they do not necessarily have three equal-length sides, so they do not meet all the criteria mentioned in the description.

Therefore, based on the given information, Ashley used the pair of shapes known as "rhombuses" in her design.

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Answer:

9

Step-by-step explanation:

12-6+3= 9

In triangle ABC, where AB is congruent to CB, BD is an altitude to AC, and P lies on BD with PB congruent to PC, we need to find the measure of angle PCD. Given that angle ABC measures 48 degrees, we can determine angle PCD using geometric relationships.

In triangle ABC, angle ABC is given as 48 degrees. Since AB is congruent to CB, we know that angles BAC and BCA are congruent, each measuring (180 - 48) / 2 = 66 degrees. Considering triangle BCD, we have an altitude BD, which implies that angle CBD is a right angle, measuring 90 degrees. As PB is congruent to PC, angles PBC and PCB are also congruent. Therefore, angles PBC and PCB each measure (180 - 90 - 66) / 2 = 12 degrees. Finally, angle PCD is equal to the sum of angles PCB and PBC, resulting in a measure of 12 + 12 = 24 degrees. Hence, the measure of angle PCD is 24 degrees.

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The equation of the tangent to the curve at the point corresponding to θ = 0 is y = 1/2x - 1/2.

To find the equation of the tangent to the curve, we need to determine the slope of the tangent at the given point. We differentiate the equations of x and y with respect to θ:

dx/dθ = -sin(θ) + 2cos(2θ)

dy/dθ = cos(θ) - 2sin(2θ)

Substituting θ = 0 into these derivatives, we get:

dx/dθ = -sin(0) + 2cos(0) = 0 + 2 = 2

dy/dθ = cos(0) - 2sin(0) = 1 - 0 = 1

The slope of the tangent is given by dy/dx. Therefore, the slope at θ = 0 is:

dy/dx = (dy/dθ)/(dx/dθ) = 1/2

Using the point-slope form of a line, where the slope is 1/2 and the point is (x, y) = (cos(0) + sin(20), sin(0) + cos(20)) = (1, 0), we can write the equation of the tangent as:

y - 0 = (1/2)(x - 1)

Simplifying the equation, we get:

y = 1/2x - 1/2

Therefore, the equation of the tangent to the curve at the point corresponding to θ = 0 is y = 1/2x - 1/2.

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The trigonometric ratios for cosines indicates that the measure of angle B, m∠B, in the right triangle with hypotenuse side length of 15 units and adjacent leg to ∠B of 12 units, obtained using the trigonometric ratios for cosines is; m∠B ≈ 36.9°

Trigonometric ratios relate the lengths of two side lengths of a right triangle and the interior angles of the right triangle.

The cosine of an angle can be obtained from the ratio of the adjacent side to the angle to the hypotenuse side of the right triangle in which the angle is an acute angle, therefore;

cos(θ) = Adjacent side to the angle ÷ Hypotenuse side of the angle

The measure of the length of the adjacent side to the angle x = 12 units

The measure of the hypotenuse side of the right triangle = 15 units, therefore;

cos(x°) = 12/15 = 4/5 = 0.8

The measure of the angle x therefore can be obtained using the arccos function, (cos⁻¹ function) in a scientific calculator as follows;

x = arccos(0.8) ≈ 36.9°

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West Moreland is -157 ( below sea level would be a negative value)

Dallas is 430 above

-157 to sea level is 157 feet

Sea level to 430 is 430 feet

Total distance = 157 + 430 = 587 feet.

Answer:

587 feet

Westmoreland is 157 feet below the sea level.

This is a negative number, so add 157 to get to 0.

Dallas is 430 above sea level.

Add 430 and 157. You get 587.

Hope it helps!

The standard form of the given LP for the simplex method is:

Maximize:

Z = 0x₁ + 0x₂

Subject to:

3x₁ + 5x₂ + s₁ - s₂ = 4

x₁ + x₂ + s₃ = 2

x₁, x₂, s₁, s₂, s₃ ≥ 0

To formulate the given linear programming problem in standard form for the simplex method, we need to introduce slack variables and convert all inequalities into equality constraints. Here's the formulation:

Maximize:

Z = 0x₁ + 0x₂

Subject to:

3x₁ + 5x₂ + s₁ - s₂ = 4

x₁ + x₂ + s₃ = 2

x₁, x₂, s₁, s₂, s₃ ≥ 0

Introduce slack variables s₁, s₂, and s₃ to convert the inequalities into equality constraints.

The objective function remains the same since it does not have any coefficients associated with decision variables.

The first inequality constraint becomes an equality by introducing s₁ and s₂ as slack variables.

The second inequality constraint becomes an equality by introducing s₃ as a slack variable.

All decision variables (x₁, x₂) and slack variables (s₁, s₂, s₃) are non-negative.

Therefore, the standard form of the given LP for the simplex method is:

Maximize:

Z = 0x₁ + 0x₂

Subject to:

3x₁ + 5x₂ + s₁ - s₂ = 4

x₁ + x₂ + s₃ = 2

x₁, x₂, s₁, s₂, s₃ ≥ 0

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Answer:

need full picture

Step-by-step explanation:

Here is the completed table:

Time (x)    Distance from Surt (y)

0                           230

1                           185

2                           140

3                           95

4                                50

5                            5

To complete the table for John's drive, we need to substitute different values of x into the equation y = 230 - 45x to calculate the corresponding distances from Surt (y) at different times (x).

In this table, the time (x) represents the number of hours John has been driving, and the distance from Surt (y) represents the corresponding distance he has covered from Surt in miles.

For example, when John starts driving (x = 0), he is 230 miles away from Surt. As time progresses, the distance from Surt decreases by 45 miles for every hour of driving, according to the equation y = 230 - 45x.

By substituting different values of x into the equation, we can determine the distance from Surt at various points in John's drive.

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Identities are given as cos(a + B) = cosa cosß-sina sinß, cos²p+ sin²p=1,(a) cos(a+B) =cosa cosß + sina sinß (b)  (27 - (a− p)) = cos((2-a) + B)=cos(2-a + B) (c) sin(7/12)cos(7/12)= (√6+√2)/4

Part (a)To prove the identity for cos(a-B) = cosa cosß+ sina sinß, we start from the identity

cos(a+B) = cosa cosß-sina sinß, and replace ß with -ß,

thus we getcos(a-B) = cosa cos(-ß)-sina sin(-ß) = cosa cosß + sina sinß

To prove the identity for sin(a-B)=sina-cosß-cosa sinß, we first replace ß with -ß in the identity sin(a+B) = sina cosß+cosa sinß,

thus we get sin(a-B) = sin(a+(-B))=sin a cos(-ß) + cos a sin(-ß)=-sin a cosß+cos a sinß=sina-cosß-cosa sinß

Part (b)To prove that as (27 - (a− p)) = cos((2-a) + B),

we use the identity cos²p+sin²p=1cos(27-(a-p)) = cos a sin p + sin a cos p= cos a cos 2-a + sin a sin 2-a = cos(2-a + B)

Part (c)Given cos²a= 1+cos2a 2 , sin² a= 1-cos2a 2We are required to calculate cos(7/12) and sin(7/12)cos(7/12) = cos(π/2 - π/12)=sin (π/12) = √[(1-cos(π/6))/2]

= √[(1-√3/2)/2]

= (2-√3)/2sin (7/12)

=sin(π/4 + π/6)

=sin(π/4)cos(π/6) + cos(π/4) sin(π/6)

= √2/2*√3/2 + √2/2*√1/2

= (√6+√2)/4

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If the inflation rate is 180%, the average prices will double in less than one year.

This is because inflation measures the increase in the prices of goods and services over a period of time. Therefore, the formula for calculating how many years it will take for average prices to double at a given inflation rate is:Years to double = 70/inflation rate

In this case, the inflation rate is 180%.

Therefore:Years to double = 70/180%

Years to double = 0.389 years

This means that average prices will double in approximately 4.67 months (0.389 years multiplied by 12 months per year).

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Answer:

D should be the one that DOES NOT represent a linear function

Answer: To find the perimeter of a shape, we need to add the value of all of the sides. Here, we are given the values:

6cm

20cm

26cm

30cm

36cm

42 cm

All of these added together are equal to 160, so the perimeter of the shape is 160cm.

Answer:

perimeter = 160 cm

Step-by-step explanation:

perimeter = add all sides

perimeter = 6 + 20 + 26 + 30 + 36 + 42

perimeter = 160 cm

Answer:

C

Step-by-step explanation:

Answer:

It is weak

Step-by-step explanation:

It is weak, so that means the answer is C. It is weak because it is

The y-intercept of the graph of the equation is y = -9.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Given equation as:

y = 6 (x - 1/2)(x+3)

To determine the y-intercept of the graph of the equation

Substitute the value x = 0 in the equation,

y = 6 (0 - 1/2)(0+3)

Apply the arithmetic operation and solve for y

y = -9

Hence,  the y-intercept of the graph of the equation is y = -9.

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The area of the sector is A = (360/360)π(6)^2 = 36π square units.

To find the area of a sector of a circle, we first need to know the central angle that defines that sector. We can use the formula A = (θ/360)πr^2 to calculate the area of the sector, where A is the area, θ is the central angle in degrees, r is the radius of the circle, and π is a constant value.

In this case, we know that the radius of the circle is 6 units. Let's consider each of the given arc length:

a. If the arc length is 6 units, then the central angle is 360 degrees, which means that the sector is the entire circle. Therefore, the area of the sector is A = (360/360)π(6)^2 = 36π square units.

b. If the arc length is 3 units, then the central angle is 180 degrees. The area of the sector is A = (180/360)π(6)^2 = 18π square units.

c. If the arc length is 1/6 of the circumference (2πr), then the central angle is 60 degrees. The area of the sector is A = (60/360)π(6)^2 = π(6)^2/6 = 6π square units.

d. If the arc length is 9 units, then the central angle is 540 degrees, which means that the sector covers the circle twice. Therefore, the area of the sector is A = (540/360)π(6)^2 = 81π square units.

In summary, we can use the formula A = (θ/360)πr^2 to find the area of a sector of a circle, given the radius and the central angle. Depending on the arc length, we can calculate the central angle and then use this formula to find the area of the corresponding sector.

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Answer:

False

Step-by-step explanation:

The standard form of a linear equation can be represented as follows;

That would be;

y = mx + c

Where m represents the slope and c represents the y-intercept

But in the question, the equation given is;

0.5x -y = 2

This is not the form of the standard form ;

Although if the equation above can be rearranged, we can get it to look like the standard form.

Answer:

9*10^7 is 90000000. 3*10^7 is 30000000. So it is 3 times as large

Answer:

740

Step-by-step explanation:

42% of 1761 = 0.42 * 1761 = 739.62

Answer: 740

Modular Integrated Construction (MIC) is a system that requires manufacturing standardized modules in a factory before transporting them to the construction site, where they are assembled into a finished building.

With the aid of heavy equipment, free-standing modules can be integrated into an existing structure.  These are some of the factors that influence the shift in the supply curve of the free-standing integrated modules:

Factors Influencing Shift in Supply Curve of Free-standing Integrated Modules:

1. Price of inputs: The cost of inputs, such as raw materials and labor, is the most important determinant of the supply curve. The supply curve will shift to the right when the price of inputs decreases since suppliers will be able to produce more modules for less money.

2. Technological advancements: Advancements in technology have led to the creation of new and more effective production processes. The supply curve will shift to the right if the technology improves since the suppliers will be able to produce more modules in less time.

3. Number of suppliers: The number of suppliers in the market determines the amount of goods supplied. The supply curve will shift to the right if the number of suppliers increases, since there will be more modules available for sale.

4. Government regulations: Government regulations can affect the supply curve of the modules. For instance, if the government imposes a tax on modules, suppliers will be less willing to produce them, and the supply curve will shift to the left.

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The probability of rolling a six-sided die six times and having all the numbers 1 through 6 result (in any order) is approximately 1.54%.

The probability of rolling a six-sided die six times and having all the numbers 1 through 6 result (in any order) can be calculated using the following steps:
1. First, find the total number of possible outcomes. Since there are 6 sides on the die and you are rolling it 6 times, there are 6^6 (or 46656) possible outcomes.
2. Next, determine the number of favorable outcomes. This is the number of ways you can arrange the numbers 1 through 6 in any order. You can do this using the formula for permutations:

n! (n factorial), where n is the number of items being arranged.

In this case, n = 6, so 6! = 6 × 5 × 4 × 3 × 2 × 1 = 720.
3. Finally, divide the number of favorable outcomes by the total number of possible outcomes to find the probability.

In this case, 720 (favorable outcomes) ÷ 46656 (total outcomes) ≈ 0.0154, or 1.54%.

So, the probability of rolling a six-sided die six times and having all the numbers 1 through 6 result (in any order) is approximately 1.54%.

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Answer:

Step-by-step explanation: 15

Mean means average, add all numbers and divide by amount

Mean= (15+12+14+19+x)/5

        =(60+x)/5

Median means to list numbers in order and pick the middle one

12 14 15 19       x is somewhere in the list in middle

Mode means the number that occurs the most, so 1 of these numbers is repeated

It must be 14 or 15 because the median must be the same as the mean

let's try both

(60+14)/5 =14.8                  (60+15)/15=15

The answer is 15.

The median of the data is M = 15 and the value of x = 15

The median is the value that's exactly in the middle of a data set when it is ordered. It's a measure of central tendency that separates the lowest 50% from the highest 50% of values. The steps for finding the median differ depending on whether you have an odd or an even number of data points

Arrange the data points from smallest to largest.

If the number of data points is odd, the median is the middle data point in the list.

If the number of data points is even, the median is the average of the two middle data points in the list.

Given data ,

The mean is calculated by summing all the numbers and dividing by the total count of numbers. In this case, we have 5 numbers, including x.

Mean = (15 + 12 + 14 + 19 + x) / 5

Since the mean is also equal to the median, we can rearrange the numbers in ascending order:

12, 14, 15, 19, x

The median is the middle number in a sorted list of numbers. In this case, the median is 15.

Since the mode is also equal to the mean and median, and we can see that 15 is the only number that appears more than once in the list, we can conclude that 15 is also the mode.

Setting the mean equal to 15 and solving for x:

15 = (15 + 12 + 14 + 19 + x) / 5

Multiplying both sides by 5 to eliminate the fraction:

75 = 15 + 12 + 14 + 19 + x

Subtracting the known numbers from both sides:

75 - (15 + 12 + 14 + 19) = x

15 = x

Hence , the value of x is 15 and median is 15

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