ABCD is a quadriateral Work out the length of BC Give you answer to 1 decimal place

Answer:

80%

Step-by-step explanation:

800-160=640

640/800=.8

.8=80%

\(y=\stackrel{\stackrel{m}{\downarrow }}{-1}x+\underset{\underset{\textit{\small b }}{\uparrow }}{5}\implies y=-x+5\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)

Answer:

$125

Step-by-step explanation:

June 15th to June 19th = 5 days of work

$5 per hour, 5 hours per day = $25 per day

$25 per day, 5 days = $125 in 5 days

The average temperature in December is 0 degrees Celsius.

We have in July, the average temperature in one US city equals to 29 degrees Celsius and by December ,the average temperature had fallen by 29 degrees Celsius.

We have investigate why the average temperature in dec was 0 degrees Celsius.

Degree of hotness or coldness measured on a definite scale is called Temperature. When the temperature of the body is high it is called hot body and when it is low it is called cold body.

According to question, we have -

Average temperature in July = 29 degrees Celsius.

The fallen average temperature =  29 degrees Celsius.

Let the average temperature of December be x. Then -

x = Average temperature in July - fallen average temperature

x = 29 - 29 = 0

Hence, the average temperature in December is 0 degrees Celsius.

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Answer:

  14400 cm³/s

Step-by-step explanation:

Find the rate of change of volume in terms of edge length, and evaluate the expression for the given conditions.

  V = s³ . . . . volume in terms of edge length (s)

  dV/dt = 3s²·ds/dt . . . . . . derivative of volume with respect to time

For the given values of s and ds/dt, this is ...

  dV/dt = 3(40 cm)²(3 cm/s) = 14400 cm³/s

Answer: I believe is C

Step-by-step explanation:

2x=21-9

x=12/2

Answer:

d

Step-by-step explanation:

By using the concept of function, it can be concluded that (-2, -1) needs to be removed to make the given relation a function

What is a function?

A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.

There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.

Here, from the figure, it can be seen that -2 has  two images,

2 and -1

So from the options given, the point (-2, -1) needs to be removed to make the given relation a function

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Complete Question

Input Output Which ordered pair needs to be removed in order for the mapping to represent a function? O (-3, -4) O (-2, -1) O (1, -3) O (3,7)​

The total bill of the dinner to celebrate birthday including sales tax and tip to the nearest cent is $202.01

Cost of the meal = $168.34

Sales tax = 5% of $168.34

= 0.05 × 168.34

= $8.417

Tip = 15% of $168.34

= 0.15 × 168.34

= $25.251

Total bill = Cost of the meal + Sales tax + Tip

= $168.34 + $8.417 + $25.251

= $202.008

Hence, the total bill is $202.01 to the nearest cent.

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The probability density function is defined as the derivative of the cumulative distribution function. It represents the relative likelihood of a continuous random variable taking on a specific value. The total area under the probability density curve is always equal to 1.

For a continuous random variable X, the probability density function f(x) satisfies the following properties:

1. Non-negativity: f(x) ≥ 0 for all x.

2. Integrates to 1: The integral of the probability density function over the entire range of X is equal to 1:

  ∫[−∞, ∞] f(x) dx = 1

This integral represents the total area under the probability density curve, which must be equal to 1.

To calculate the probability of X falling within a certain interval [a, b], we can use the probability density function as follows:

P(a ≤ X ≤ b) = ∫[a, b] f(x) dx

This integral gives the probability that X takes on a value between a and b.

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The solutions to the composite functions are:

a) (f ∘ g)(x) = 5x - 4

b) (g ∘ f)(x) = 5(x - 4)^2 - 2

c) (f ∘ g)(-1) = -9

d) (g ∘ f)(-1) = 123

Composite functions are defined as when the output of one function is used as the input of another. If we have a function f and another function g, then the function “ f of g of x”, is the composition of the two functions.

We are given the functions as:

f(x) = x - 4

g(x) = 5x

a) (f ∘ g)(x) = f(g(x))

Substituting g(x) = 5x into f(x) gives us:

(f ∘ g)(x) = f(5x)

= 5x - 4

b) (g ∘ f)(x) = g(f(x))

Substituting f(x) = x - 4 into g(x), gives:

(g ∘f)(x) = g(x - 4)

= 5(x - 4)² - 2

c. (f ∘ g)(-1):

Earlier we saw that (f ∘ g)(x) = 5x - 4

Thus:

(f∘g)(-1) = -5 - 4 = -9

d. (g∘f)(-1):

Earlier we saw that

(g∘f)(x) = 5(x - 4)² - 2

Thus:

(g∘f)(-1) = 5(-5)² - 2 = 123

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Azimuth is the angle measured in a horizontal circle around your horizon.

In this question,

The horizon angle is the maximum upwind slope in wind exposure / sheltering studies.

A line from the center of the Earth which continues through the observer's body and the top of the observer's head. This line is zenith.

Azimuth is the coordinate direction that runs parallel to the horizon and rotates clockwise from north (0 degrees) to east (90 degrees) to south (180 degrees) to west (270 degrees) back to north (360 degrees).

The meridian is an imaginary North-South line running through the zenith.

Therefore, Azimuth is the angle measured in a horizontal circle around your horizon.

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The number of people are 72.

Highest Common Factor is the full name for HCF in mathematics.

According to the laws of mathematics, the highest positive integer that divides two or more positive integers without leaving a residual is known as the greatest common divisor, or gcd.

Least Common Multiple is the full name for LCM in mathematics.

LCM (a,b) in mathematics stands for the least common multiple, or LCM, of two numbers, such as a and b. The smallest or least positive integer that is divisible by both a and b is known as the LCM.

We need to know the size of the pieces in order to calculate how many people can be fed equal-sized pieces of cake from a 16 by 18-inch cake.

Assume that each piece is a square with sides measuring "x" in length. Each piece's area would be x², and the cake's overall area would be 16 x 18 inches, or 288 square inches.

We must divide the entire area of the cake by the area of each piece to determine the maximum number of pieces that can be cut from the cake:

288 / x² = (16*18) / x² = 288 / x²

Choosing a "x" value that evenly splits into 16 and 18 is necessary if we want every piece to be the exact same size. Since 2 is the greatest possible value, we can divide the cake into 8 rows of 9 squares, yielding a total of 72 pieces.

As a result, a cake measuring 16 inches by 18 inches can be divided into 72 equal-sized pieces, each measuring 2 inches by 2 inches.

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We can serve 18 people equal-sized pieces of cake from a cake that is 16 inches by 18 inches, assuming each piece is a square and we want the pieces to be exactly the same size.

A two-dimensional figure, form, or planar lamina's area is a measurement of how much space it takes up in the plane.

To find out how many people can be served equal-sized pieces of cake from a cake that is 16 inches by 18 inches, we need to first determine the size of each piece of cake.

The total area of the cake is:

16 inches x 18 inches = 288 square inches

To divide the cake into equal-sized pieces, we need to determine the size of each piece. Let's assume we want each piece to be a square. To find the size of each square, we need to find the square root of the total area of the cake:

√(288 square inches) ≈ 16.97 inches

Since we want the pieces to be exactly the same size, we'll round down to the nearest inch, which gives us:

Each piece of cake will be approximately 16 inches by 16 inches.

To find out how many people can be served equal-sized pieces of cake, we need to divide the total area of the cake by the area of each piece:

288 square inches ÷ (16 inches x 16 inches) = 18

Therefore, we can serve 18 people equal-sized pieces of cake from a cake that is 16 inches by 18 inches, assuming each piece is a square and we want the pieces to be exactly the same size.

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The number of years for the value of $900 to reach $1,800 if the rate of interest is 4%, is 25 years.

When the loan is given to you, then some amount is charged to you for the principal amount and that is called interest.

Given:

The amount after some years, A = $1800,

The rate of interest, r = 4% per annum,

The principal amount, p = $900,

Calculate the number of years as shown below,

A = P + SI

1800 = 900 + p × r × t / 100

Here, t is the time in years,

1800 - 900 = 900 × 4 × t / 100

900 = 3600t / 100

900 = 36t

t = 900 / 36

t = 25

Thus, the number of years will be 25.

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The value of x that satisfies the equation is x = 15/8, which is equivalent to 1.875.

To solve the equation (2/3)x - (1/5)x = x - 1 and find the value of x, we can follow these steps:

Combine like terms on the left side of the equation:

(2/3 - 1/5)x = x - 1

Find a common denominator for the fractions on the left side. The common denominator for 3 and 5 is 15, so we rewrite the equation as:

(10/15 - 3/15)x = x - 1

Simplify the left side of the equation:

(7/15)x = x - 1

To eliminate the fraction, we can multiply both sides of the equation by the denominator of the fraction, which is 15:

15 * (7/15)x = 15 * (x - 1)

This simplifies to:

7x = 15x - 15

Subtract 15x from both sides of the equation to isolate the x term:

7x - 15x = -15

Simplifying further:

-8x = -15

Divide both sides of the equation by -8 to solve for x:

x = (-15) / (-8)

Simplifying the division:

x = 15/8

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The statement using absolute value notation will be x - 78 ≤ 22.

The student will pass the test which scores 22 points for the number 78

Absolute values are any digit's value without taking the sign into an account. Therefore, all negative numbers will be regarded as positive for absolute value. The absolute value of -5, for instance, will be 5, whereas that of -7, will be 7.

In essence, the absolute value calculates the distance from zero. Putting an absolute value on something does not imply that they are the same number but that they are the same distance from 0.

Le the score of student be = x

Forming the absolute value notation -

This can be expressed as,

x - 78 ≤ 22.

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Answer:

16/26=8/13

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

the denominator is double of 13, using that logic multiply 8 by 2 to get 16

:The possible values of the common ratio in the geometric progression (GP) are 1/2 or -2.

Let's assume the first term of the GP is 'a' and the common ratio is 'r'. The sum to infinity of the GP can be calculated using the formula: S = a / (1 - r).

According to the given condition, the sum to infinity (S) is twice the sum of the first two terms. Mathematically, this can be expressed as:

a / (1 - r) = 2(a + ar)

To simplify this equation, we can cancel out 'a' from both sides:

1 / (1 - r) = 2(1 + r)

Expanding and rearranging the equation, we get:

1 - r = 2 + 2r

3r = -1

r = -1/3

So, one possible value for the common ratio is -1/3.

However, we need to find all possible values of the common ratio. We can substitute 'r' with '-1/3' in the original equation:

a / (1 - (-1/3)) = 2(a + a(-1/3))

a / (4/3) = 2a - 2a/3

a / (4/3) = 4a/3

Cross-multiplying and simplifying the equation, we get:

3a = 16a

13a = 0

a = 0

If a = 0, then the GP becomes a trivial case where all terms are 0. In this case, any value of 'r' would satisfy the given condition since the sum of the first two terms would also be 0.

Therefore, the possible values of the common ratio in the GP are 1/2, -2, and any value of 'r' when a = 0.

The possible values for the common ratio in the geometric progression (GP) are 1/2, -2, and any value of 'r' when the first term is 0.

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Answer:

1 / 51

Step-by-step explanation:

Given that :

Number of cards in a deck = 52

Number of heart suit = 13

Number of kings = 4

Recall:

Probability = (required outcome / Total possible outcomes)

P(first card is king) = 4/52 = 1/13

P(second card is heart) = 13/51

Hence,

P(first card is king) * P(second card is heart)

(1/ 13) * (13/51) = 13 / 663 = 1/ 51

Answer:

1/53

Step-by-step explanation:

So, you have 4 kings in a deck. You have a 4/52 chance in the first one which simplifies to 1/13. There are 13 hearts in a deck. 13/53 * 1/13 = 1/53. Sorry if I got this one wrong.

The midline of the graph is a horizontal line with y = 8.5.

The midline of a sinusoidal graph is the average of its maximum and minimum values, which represents the average height of the graph over one period. To find the midline, we need to find the average of the y-values of the maximum and minimum points.

The maximum point is (4,12) and the minimum point is (11,5), so the average of the y-values is (12+5)/2 = 8.5. This represents the y-intercept of the midline, which is a horizontal line. Therefore, the midline of the graph is a horizontal line with y = 8.5.

The midline of a sinusoidal graph separates the graph into two parts: the portion above the midline, where the graph is increasing, and the portion below the midline, where the graph is decreasing. The midline also provides important information about the amplitude and frequency of the graph.

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To balance the line by choosing the assignable task with the longest task time first, you need to follow these steps. Determine the task times for each assignable task in the line.

Identify the assignable task with the longest task time. Assign that task to the first station in the line. Calculate the remaining cycle time by subtracting the task time of the assigned task from the total cycle time.
Repeat steps 2-4 for the remaining assignable tasks, considering the updated cycle time after each assignment.

Task A has the longest task time, so it is assigned to the first station. After each assignment, the cycle time is updated by subtracting the task time of the assigned task.  Task B is assigned to the second station, and Task C is assigned to the third station. Since Task C has a task time of 1.2 minutes, the remaining cycle time becomes 0. After that, Task D and Task E are not assigned any task time because the remaining cycle time is already 0. The specific values will depend on the actual task times and cycle time in your scenario.

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By following these steps, you will be able to balance the line by choosing the assignable task with the longest task time first. The final answer will be the completed table with all the relevant information.

To balance the line by choosing the assignable task with the longest task time first, we need to follow certain steps and fill in the table accordingly.

Step 1: Determine the cycle time.

Given that the cycle time is 2.3 minutes, we will use this value as a reference for balancing the line.

Step 2: List the tasks and their task times.

Create a table with columns for tasks and task times. List all the tasks that need to be performed on the line and their respective task times.

Step 3: Sort the tasks in descending order.

Sort the tasks in descending order based on their task times, with the longest task time at the top and the shortest at the bottom.

Step 4: Calculate the number of operators required for each task.

Starting from the top of the table, divide the task time by the cycle time. Round up the result to the nearest whole number to determine the number of operators needed for each task.

Step 5: Calculate the balance delay.

For each task, calculate the difference between the number of operators required and the number of operators available. This represents the balance delay for each task.

Step 6: Fill in the table.

Fill in the table with the tasks, task times, number of operators required, and balance delay for each task.

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Answer: 11,500 grams

Step-by-step explanation: 920/8=115 115*100= 11,500

Answer:

20,000.

Step-by-step explanation:

The first music player has 500 songs stored by 2 GB. So 500/2 is 250. You take 250 and you multiply it by 80 and you get 20,000.

The confidence interval and critical value methods are equivalent in providing an interval estimate, the p-value method is used for hypothesis testing and evaluates the strength of evidence against the null hypothesis.

What is the confidence interval?

A confidence interval is a range of values that is likely to contain the true value of an unknown population parameter, such as the population mean or population proportion. It is based on a sample from the population and the level of confidence chosen by the researcher.

In general, when dealing with inferences for two population proportions, the confidence interval method and the critical value method are equivalent. These two methods provide a range of plausible values (confidence interval) for the difference between two population proportions and involve the calculation of critical values to determine the margin of error.

On the other hand, the p-value method is not equivalent to the confidence interval and critical value methods. The p-value method involves calculating the probability of observing a test statistic as extreme as, or more extreme than, the one obtained from the sample data, assuming the null hypothesis is true. It is used in hypothesis testing to determine the statistical significance of the difference between two population proportions.

To summarize:

- Confidence interval method: Provides a range of plausible values for the difference between two population proportions.

- Critical value method: Uses critical values to determine the margin of error in estimating the difference between two population proportions.

- P-value method: Determines the statistical significance of the observed difference between two population proportions based on the calculated p-value.

Hence, the confidence interval and critical value methods are equivalent in providing an interval estimate, the p-value method is used for hypothesis testing and evaluates the strength of evidence against the null hypothesis.

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Answer:

Step-by-step explanation:

Given

#1) Subtract 15 from each side.

#2) Divide 2 from each side.

Answer:

x = 0, y = - 100

Step-by-step explanation:

So plug in the points you have which is x = 0.

50(0) + y = -100

0 + y = -100

y = -100

So, x = 0, y = - 100

The figures ABC and A'B'C' are congruent using the pre-image formed of ABC.

Consider the points,

A( 2, 1 ), B( 3, 3 ), and C( 6, 1 )

The point ( x, y ) when reflected across the y-axis will be ( -x, y ).

Therefore,

A(2,1) when reflected across the y -axis and translated 1 unit downwards will be A'( - 2, 0 ).

When point B( 3,3 ) is reflected across the y-axis and the point is translated one unit to the left and 2 units down we get the point B'( - 4, 1).

When point C( 6, 1 ) is reflected across the y-axis and translated 4 units towards the right of the horizontal axis and 3 units upwards we get point C'( - 2, 4 ).

Now, the length of AC and A'C' are both 4 units and two angles of both the figures are equal. One angle is 90 degrees and another angle is made between A and C.

Therefore, both figures are congruent.

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Answer:

-1.5x + 21.5 (or (43-3x)/2)

Step-by-step explanation:

(-5/6x + 51/2) - (2/3x + 4)

First, find the opposite of 2/3x + 4 because of the negative sign.

-5/6x + 51/2 - 4/6x - 4

Now combine -5/6x and -4/6x to get -9/6x or -3/2x

-3/2x + 51/2 - 4

Convert 4 into 8/2 since 51/2 is a fraction.

-3/2x + 51/2 - 8/2

Since the denominators of 51/2 and -8/2 are the same, just subtract 51 and 8 to get 43.

-3/2x + 43/2

-3/2x and 43/2 have the same denominator (2), so you can just put it like this (It's up to you!):

(43-3x)/2

The answer to (-5/6 + 51/2) - (2/3x + 4) is -3/2x + 43/2 (or (43-3x)/2)

Or you could put it like this (I converted both -3/2 and 43/2 to a decimal.)

-1.5x + 21.5

The correct option is A. {(–4, 3), (–2, 7), (–1, 0), (4, –3), (11, –7)}.

The function which also has an inverse that is also a function is {(–4, 3), (–2, 7), (–1, 0), (4, –3), (11, –7)}.

An inverse in mathematics is a function which serves to "undo" another function. That is, if f(x) yields y, then placing y into the inverse of f yields x.

In response to the given question

We understand that such a function is really only one that has a unique y value that corresponds to x.

An inverse function is only a function is if function being inversed is also a function.

Thus, option (A) has all x corresponding to y values that are different, but all remaining options have the values repeating, so that will not be a function because only (A) has to inverse.

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The complete question is -

Which function has an inverse that is also a function?

A. {(–4, 3), (–2, 7), (–1, 0), (4, –3), (11, –7)}

B. {(–4, 6), (–2, 2), (–1, 6), (4, 2), (11, 2)}

C. {(–4, 5), (–2, 9), (–1, 8), (4, 8), (11, 4)}

D. {(–4, 4), (–2, –1), (–1, 0), (4, 1), (11, 1)}