un mesero gana $5 la hora, el sábado ganó $108 en propinas. si él hizo $128 En total cuántas horas trabajo? escribe una ecuasion y responde.​

The expression that can be used to find the percent of change between the gym's membership in 2012 and the current membership is ((Current Value - Initial Value) / Initial Value) \(\times\) 100.

To find the percent of change between the gym's membership in 2012 and the current membership, we can use the following expression:

Percent of change = ((Current Value - Initial Value) / Initial Value) \(\times\) 100

In this case, the initial value is 9,300 (membership in 2012), and the current value is 2,800 (current membership).

Substituting these values into the expression, we get:

Percent of change = ((2,800 - 9,300) / 9,300) \(\times\)100

Simplifying the expression further, we have:

Percent of change = (-6,500 / 9,300) \(\times\) 100

Therefore, the expression that can be used to find the percent of change between the gym's membership in 2012 and the current membership is ((Current Value - Initial Value) / Initial Value) \(\times\)100. This formula calculates the relative difference between the initial and current values and expresses it as a percentage.

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The factor of decay in the function that represents the daily revenue of the store is 0.939.

The factor that represents decay is the factor that reduces the growth rate of revenue for this store. In the given function, the factor that represents decay would have a value that is less than one.

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The y-intercept represents a. the maximum weight allowed in a shipment.

Given: The graph is between the Amount of allowed weight remaining Vs the Number of boxes included.

What is a graph?

A graph is a diagram or the representation of variations between two or more variables with respect to each other.

A graph consists of dependent and independent variables. We usually plot the response of the dependent variable with the change in the value of the independent variable.

What is y-intercept?

The y-intercept is the point on the y-axis that a given equation of line or a curve passes through when the value of x = 0. It can denote either the minimum value for a function is the function is increasing the the initial point is the y intercept or the maximum value for a decreasing function if the y-intercept is the initial point.

Let's solve the question:

It is given in the question that the graph is of  Amount of allowed weight remaining Vs the Number of boxes.

As it is "Amount of weight remaining", so we can interpret that it is a decreasing curve with the increase in the number of boxes or in simple words the value of y will keep decreasing with the increasing number of x value.

Therefore, for this graph the y-intercept will show the maximum weight remaining or as it is the y-intercept that is x = 0, which means when there are no boxes the maximum weight remaining is y-intercept. So it the maximum weight allowed in the shipment.

Hence the answer is a. the maximum weight allowed in a shipment.

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Disclaimer: The given question is incomplete. The complete question is mentioned below:

One manufacturer boxes screws so that each box weighs the same no matter what size the screws are. The graph shows the amount of allowed weight remaining in a given shipment depending on the number of boxes of screws already included. What does the y-intercept represent in this situation?

a. the maximum weight allowed in a shipment.

b. the minimum weight of a single box of screws.

c. the minimum number of screws in a single box.

d. the maximum number of single boxes for a shipment.

Answer:

The six half liter bottles

Step-by-step explanation:

They have 1.30 per liter, while the other is 1.40

The weight of the last child is 36 lbs.

The average weight of the three children is 60 lbs. The total weight will be:

= 60 × 3

= 180 lbs.

When another child is added, the weight is 54lb. The total weight will be:

= 54 × 4

= 216 lbs

The weight of the last child will be:

= 216 - 180

= 36 lbs.

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Answer:

Step-by-step explanation: 3×6+1,3×6 is 18+1 is 19/6 is your answer

Answer:

Not possible a whole number can't be a decimal or a fraction

Answer:

2500000000

Step-by-step explanation:

→ Multiply 1 by 25000

1 × 25000 = 25000

→ Convert into metres

2500000

→ Convert into centimetres

2500000000

Answer:

2.00 cm

1 km on the ground = 2.00 cm on the map.

This means that 1 cm on the map is 25000 cm in real life, which is 250 m or 0.25 km. It is also useful to note that if 1 cm is 0.25 km, then 4 cm will represent 1 km in real life.

Answer:

I believe it's 20 seconds.

The radius of the circle is approximately 10.17 units (rounded to two decimal places).

To find the radius of the circle, we need to use the formula that relates the central angle to the length of the arc and the radius of the circle. The formula is given as:

arc length = radius x central angle

In this case, the arc length is given as 24.4 and the central angle is given as 2.4 radians. Substituting these values in the formula, we get:

24.4 = r x 2.4

Solving for r, we get:

r = 24.4 / 2.4

r ≈ 10.17

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The given categories of variables that are mutually exclusive and exhaustive are weekdays and weekend and vowels and consonants.

Mutually exclusive and exhaustive variables: A variable is mutually exclusive and exhaustive if it includes all possible outcomes and each outcome can only be assigned to one variable category.a. Days: Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, and Sunday - Mutually exclusive and exhaustiveb. Days: Weekday and Weekend - Mutually exclusive and exhaustive c. Letters: Vowels and Consonants - Mutually exclusive and exhaustive. Letters: Alphabets and Consonants - Not mutually exclusive and exhaustiveThe given categories of variables that are mutually exclusive and exhaustive are weekdays and weekend and vowels and consonants. Hence, the options a and c are correct.

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To estimate the mean IQ of all students with 99% confidence, we should use a confidence interval based on the t-distribution.

Given that we have a sample of 60 students with a mean IQ of 100.4 and a standard deviation of 5.2, we can use the t-distribution to construct a confidence interval for the population mean.

Since the population standard deviation is unknown and the sample size is relatively small, the t-distribution is appropriate for this scenario. With a desired confidence level of 99%, we would use the critical value associated with a 99% confidence level from the t-distribution.

By calculating the confidence interval using the sample mean, sample standard deviation, sample size, and the appropriate critical value from the t-distribution, we can estimate the mean IQ of all students with 99% confidence.

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Answer:

1. Answer -48$

72-20 = 52

20 * 5 = 100

52 - 100= -48

2. 248$

-48 + 248 = 200

Step-by-step explanation:

hope this helps lovely

Answers:

The dilation is an enlargement.

Point O is the center of dilation.

The scale factor is 3.

The true statements about the dilation of segment AB are:

The dilation is an enlargement.

Point O is the center of dilation.

The scale factor is 3.

The scale factor is 9.

Dilation is a geometric transformation that alters the size of a figure while maintaining its shape. It is accomplished by either enlarging or reducing the figure with respect to a fixed point called the center of dilation. The scale factor determines the ratio by which the figure is resized. In the given diagram depicting the dilation of segment AB, let's analyze the statements to understand the properties of the dilation.

The dilation is an enlargement: An enlargement occurs when the scale factor is greater than 1, meaning the figure is proportionally expanded. In the diagram, if the scale factor is greater than 1, then the dilation is indeed an enlargement.

The dilation is a reduction: A reduction happens when the scale factor is between 0 and 1, implying that the figure is proportionally reduced. If the scale factor in the diagram falls within this range, then the dilation is also a reduction.

Point O is the center of dilation: The center of dilation is the fixed point about which the figure is resized. In the diagram, if point O is identified as the fixed point with respect to which segment AB is dilated, then this statement is true.

The scale factor is 3: If the scale factor mentioned in the diagram is 3, it indicates that the figure is enlarged by a factor of 3, making this statement true.

The scale factor is 9: If the scale factor is 9, then the figure is enlarged by a factor of 9, and this statement is also true.

Hence the correct option is (a), (c), (d), and (e).

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Answer: Read the step by step explanation for the answer

Step-by-step explanation:

We can use the Pythagorean theorem to find the hypotenuse of the right triangle formed by the given point (4, 3) and the origin (0, 0):

r = √(4² + 3²) = 5

Then we can use the coordinates of the point (4, 3) to determine the values of the trigonometric functions:

sin(θ) = opposite/hypotenuse = 3/5

cos(θ) = adjacent/hypotenuse = 4/5

tan(θ) = opposite/adjacent = 3/4

csc(θ) = hypotenuse/opposite = 5/3

sec(θ) = hypotenuse/adjacent = 5/4

cot(θ) = adjacent/opposite = 4/3

Therefore, the values of the six trigonometric functions of θ are:

sin(θ) = 3/5

cos(θ) = 4/5

tan(θ) = 3/4

csc(θ) = 5/3

sec(θ) = 5/4

cot(θ) = 4/3

Answer:

x=2;y=2

Step-by-step explanation:

2x+y=6..........1

3x-y=4............2

adding equation1 with equation 2

2x+y+3x-y=6+4

5x=10

x=10/5=2

substituting vslue of y in equation 1

2×2+y=6

y=6-4

y=2

The frequency distribution of lottery winners of age between 19 and 40 is 7, and 3.32% of lottery winners are 70 years or older.

To find the frequency of lottery winners of age between 19 and 40, we need to add the frequencies of the age groups [20,29] and [30,39].

Frequency of lottery winners between 20 and 29 years old = 2

Frequency of lottery winners between 30 and 39 years old = 5

Frequency of lottery winners between 19 and 40 years old = 2 + 5 = 7

Therefore, the frequency of lottery winners of age between 19 and 40 is 7.

To find the percentage of lottery winners who are 70 years or older, we can use the cumulative relative frequency. We know that the cumulative relative frequency for the age group [70,79] is 0.9668, which means that 96.68% of the lottery winners are 70 years old or younger. Therefore, the percentage of lottery winners who are 70 years or older is:

100% - 96.68% = 3.32%

So, 3.32% of lottery winners are 70 years or older.

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The total amount of paint needed is 15 quart and it cost $41.25.

An equation is an expression that shows the relationship between two or more variables and numbers.

0.0015 quart of paint to cover 1 square inch.

Let the area of the rectangle be 10000 in², hence:

Amount of paint = 0.0015 quart per in² * 1000 in² = 15 quart

Cost of paint = $2.75 per quart *  15 quart = $41.25

The total amount of paint needed is 15 quart and it cost $41.25.

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Answer:

  0.7 m²

Step-by-step explanation:

You want the area of a trapezoid with bases 0.5 m and 1.3 m, a base angle of 45°, and a slant height of 1.1 m.

The area of the trapezoid is given by the formula ...

  A = 1/2(b1 +b2)h

The figure tells us b1 and b2. We have to figure out what h is.

There are a couple of ways to find the height.

1) Using trigonometry, we find the height of the trapezoid to be the side of a right triangle opposite the given 45° angle. That triangle has a hypotenuse of 1.1 m.

  Sin = Opposite/Hypotenuse

  Opposite = Hypotenuse · Sin

  height = (1.1 m)sin(45°) ≈ 0.7778 m

2) The bottom corner angles are not marked in the figure. If we assume they are right angles, then the excess length of the right "base" is 1.3 -0.5 = 0.8 m. Taking that to be one leg of a 45°-45°-90° right triangle, the other leg (the height of the trapezoid) is also 0.8 m. The second attachment shows this approach.

The first attachment shows the area calculation using the trig approach to height. The computed area is 0.7 m² when rounded to 1 decimal place.

Using the second method of finding the area, we compute it to be 0.72 m², which also rounds to 0.7 m².

__

Additional comment

There are more dimensions on the figure than necessary to compute its area. Fortunately, they are consistent with each other when length and area are rounded to 1 decimal place.

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The two endpoints we have are (-1,7) and (3,-3).

And we need to find the midpoint.

Step 1. Label the given coorfinates as (x1,y1) and (x2,y2):

Step 2. Use the midpoint formula:

Substituting the values for x1, x2, y1, and y2 that we found in step 1:

Step 3. Solve the resulting operations to find the coordinates of the midpoint:

Solving the divisions:

The midpoint is (1,2).

Answer: (1,2)

Answer: Distance is 8.9

Step-by-step explanation:

\(d = √((x2-x1)2 + (y2-y1)2)\)

\((x2-x1) = (4 - 0) = 4\)

\((y2-y1) = (4 -4) = 8\)

Add it all together

\((4)2 + (8)2 = 16 + 64 = 80\)

Square 80

\(\sqrt{80} =4\sqrt{5} \\=8.9443\)

Answer: d=8.9

Step-by-step explanation:

√80=8.9

Answer:

x + 0.07x = 25.68

1.07 x = 25.68

x = 24

Step-by-step explanation:

Answer:

-2 4 -4 3

Step-by-step explanation:

the answer is that

The fraction of the day will the clock show the correct time is 1/2.

For the given question;

A required fraction is indeed the number of correct answers divided by the total number of attempts.

There are 720 total times by the digital clock because there are 60 minutes in such an hour and 12 hours on a clock.

We directly count the correct times; let x:yz be a correct time, where x is a total from 1 to 12 as well as y and z have been digits, where y<6.

The following x values will display the right time: 2, 3, 4, 5, 6, 7, 8, and 9.

The following values will display the right time: 0, 2, 3, 4, and 5.

The following z values will display the right time: 0, 2, 3, 4, 5, 6, 7, 8, and 9.

The correct times are-

= 8×5×9

= 360

The fraction needed is-

= 360 /720

= 1/2

Thus, the fraction of the day will the clock show the correct time is 1/2.

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Answer:

amount invested in the account that earns 10% interest  = Rs 3500

amount invested in the account that earns 8% interest  =Rs 5500

Step-by-step explanation:

Two equations can be derived from the question

x + y = 9000 equation 1

0.08x + 0.1y = 790 equation 2

x = amount invested in the account that earns 8% interest

y =  amount invested in the account that earns 10% interest

multiply equation 1 by 0.08

0.08x + 0.08y = 720 equation 3

subtract equation 3 from 2

0.02y = 70

divide both sides of the equation by 0.02

y = 70 / 0.02

y = 3500

Substitute for y in equation 1

x + 3500 = 9000

x = 9000 - 3500 = 5500

Step-by-step explanation:

1. The tip is $8.40

2. The price after the discount is 96.

3. The tax taken away is $2400

4. $98.4

Answer:

65

Step-by-step explanation:

In essence, a function is a rule that assigns to each value of the input set (also known as the domain), a unique value of the output set (also known as the range).

A function is a fundamental mathematical concept that is used to describe the relationship between two sets of values.

To understand the idea of a function, imagine a machine that takes in an input and produces an output. The input values are the domain of the function, and the output values are the range. A function can be represented as an equation, a graph, or a table. For example, the equation f(x) = x + 3 represents a function that takes in an input value x and produces an output value that is 3 greater than the input value.

One of the key features of a function is that each input value must have a unique output value. This means that if you input the same value into the function twice, you should get the same output value both times. In mathematical terms, we say that a function is well-defined if it has a unique output value for each input value.

Functions are used in a wide range of mathematical applications, from algebra and calculus to statistics and data analysis. They provide a powerful tool for describing and analyzing relationships between different sets of values.

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The dimensions of the rectangle are width = 20 centimeters and length = 1 centimeter.

Let's denote the width of the rectangle as "w" centimeters. According to the problem, the length of the rectangle is 19 centimeters less than its width, so the length can be expressed as "w - 19" centimeters.

The formula for the area of a rectangle is length multiplied by width. In this case, the area is given as 20 square centimeter

Area = Length × Width

20 = (w - 19) × w

To solve this equation, we can expand it:

20 = \(w^2\) - 19w

Rearranging the equation to bring everything to one side:

\(w^2\) - 19w - 20 = 0

Now, we can factor the quadratic equation:

(w - 20)(w + 1) = 0

Setting each factor equal to zero and solving for "w":

w - 20 = 0 --> w = 20

w + 1 = 0 --> w = -1

Since a negative width doesn't make sense in this context, we discard w = -1.

Therefore, the width of the rectangle is 20 centimeters (w = 20).

To find the length, we substitute this value back into the expression for length:

Length = w - 19

Length = 20 - 19

Length = 1 centimeter

So, the dimensions of the rectangle are width = 20 centimeters and length = 1 centimeter.

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Answer:

I think No

Explanation:

We say two figures are similar if they have the same shape, but not necessarily the same size. If they also have the same size, we say they are congruent.

No, if two polygons are similar, it does not necessarily mean that they are congruent.

We have,

Similar polygons have the same shape but can have different sizes. This means that their corresponding angles are equal, and the ratios of their corresponding side lengths are equal.

However, the lengths of the sides themselves may be different.

On the other hand, congruent polygons have both the same shape and the same size.

This means that all corresponding angles and side lengths are equal.

So, while all congruent polygons are similar, not all similar polygons are congruent.

Similar polygons can be scaled versions of each other, but they can have different sizes.

Thus,

No, if two polygons are similar, it does not necessarily mean that they are congruent.

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