The figure is cut into 15 equal pieces. 2. Shade of the figure. 5​

The function that represents the graph is the second option;

f(x) = 5·sin(3·θ)

A function assigns or maps the values in the set of input variables unto the set of the output variables.

The general form of a sinusoidal function is; y = A·sin(B·(x - C)) + D

Where;

A = The amplitude

The period, T = 2·π/B

D = The vertical shift of the graph of the function

The peak and midline coordinates of the graph are (π/6, 5), and (π/3, 0)

The amplitude of the graph is therefore; 5 - 0 = 5

The period of the graph is the distance between successive peaks, which can be found as follows;

Period, T = 5·π/6 - π/6 = 4·π/6 = 2·π/3

Therefore; T = 2·π/3 = 2·π/B

B = 3

The point (0, 0), on the graph indicates that when the function is a sine function, and sin(0) = 0, the horizontal shift is; C = 0

The location of the midline on x-axis indicates that the vertical shift of the function is; D = 0

The function is therefore;

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Answer:

The gravitational force between a mass and the Earth is the object’s weight. Mass is considered a measure of an object’s inertia, and its weight is the force exerted on the object in a gravitational field. On the surface of the Earth, the two forces are related by the acceleration due to gravity: Fg = mg. Kilograms and slugs are units of mass; newtons and pounds are units of weight.

You can use Newton’s law of gravitation to get the acceleration due to gravity, g, on the surface of the Earth just by knowing the gravitational constant G, the radius of the Earth, and the mass of the Earth. The force on an object of mass m1 near the surface of the Earth is

F = m1g

This force is provided by gravity between the object and the Earth, according to Newton’s gravity formula, and so you can write

Step-by-step explanation:

Answer:

hundred and hundredth are way different 11.75 I think it would be tho

Step-by-step explanation:

The measure of the missing side b is 12 unit.

A triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.

The triangle is right angled so we have;

opposite = side opposite the angle 42° = 20

adjacent = b

hypotenuse = 20

b^2 + 16^2 = 20^2

b^2 = 400 - 256

b^2 = 144

b = 12 unit

Approximately to the nearest whole number, b = 12

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Answer:

200.96 ft^2

Step-by-step explanation:

The area of a circle is pi * r^2

This means that the area of that circle is pi * 8^2

8^2 * pi = 64 * 3.14 = 200.96

Answer:

The value of x could be anything, so I don't know what you mean until you have some sort of equation or graph - or anything at that.

Step-by-step explanation:

To compare the distributions of the length of time individuals spend at the drive-thru at the bank and the drive-thru at a fast food restaurant, we can use several statistical methods.

Here are some approaches you can consider:

1. Descriptive Statistics:

  Calculate summary statistics for each dataset separately, including measures such as mean, median, mode, range, and standard deviation. This will provide an overview of the central tendency and spread of each distribution.

2. Box Plots:

  Create box plots for each dataset to visualize the five-number summary (minimum, first quartile, median, third quartile, maximum). This will allow you to compare the distributional characteristics, including the shape, spread, and outliers.

3. Histograms:

  Construct histograms for each dataset to visualize the frequency distribution of the data. This will help you compare the shape of the distributions and identify any notable differences.

4. Kolmogorov-Smirnov Test:

  Perform a Kolmogorov-Smirnov test to formally compare the cumulative distribution functions (CDFs) of the two datasets. This test assesses whether the two samples come from the same distribution or not, based on the maximum difference between their CDFs.

5. t-Test or Mann-Whitney U Test:

  If the data is normally distributed and the assumptions for a t-test are met, you can conduct an independent samples t-test to compare the means of the two datasets. Alternatively, if the data is not normally distributed, you can use the Mann-Whitney U test (a non-parametric test) to compare the distributions.

6. Confidence Intervals:

  Calculate confidence intervals for the mean or median of each dataset to quantify the uncertainty around these estimates. Comparing the intervals can give you a sense of whether the populations differ significantly.

It's important to note that the choice of statistical methods may depend on the specific characteristics of your data, such as sample size, distributional assumptions, and the research question of interest.

It is recommended to consult with a statistician or data analyst to determine the most appropriate methods for your specific study.

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The height of Sally's plant in mixed fraction form will be equal to 3 4/5 inches.

The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.

They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.

As per the given information in the question,

Height of Lee's plant = 5 1/2 = 11/2

Let the height of Sally's plant be x.

Lee's plant is 1 7/10 taller than Sally's plant.

Then, the height of Sally's plant will be,

x = 11/2 - 17/10

Take LCM as 10

x = (55 - 17)/10

x = 38/10 = 19/5 inches

It can be written in the mixed fraction form as 3 4/5.

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We can determine coordinates if point t is between points u and v by checking if u < t < v or v < t < u.

To determine if point t is between points u and v, we need to compare their coordinates. If u < v, then point t is between points u and v if and only if u < t < v. On the other hand, if v < u, then point t is between points u and v if and only if v < t < u.

Whether or not point t is between points u and v depends on the relationship between the coordinates of u and v. If u < v, t must fall between them, and if v < u, t must also fall between them.

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The ratios of their perimeters and the ratios of their areas are 1) 3:1 and 9:1 and 2) 7:4 and 49:16.

Given the scale factor of two similar polygons, we need to find the ratio of their perimeters and the ratios of their areas,

To find the ratio of the perimeters of two similar polygons, we can simply write the scale factor as it is because the ratio of the perimeter is equal to the ration of the corresponding lengths.

1) So, perimeter = 3:1

The ratio of areas between two similar polygons is equal to the square of the scale factor.

Since the scale factor is 3:1, the ratio of their areas is:

(Ratio of areas) = (Scale factor)² = 9/1 = 9:1

Similarly,

2) Perimeter = 7:4

Area = 49/16

Hence the ratios of their perimeters and the ratios of their areas are 1) 3:1 and 9:1 and 2) 7:4 and 49:16.

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Answer:

12/6 simplified to lowest terms is 2/1.

Step-by-step explanation:

Divide both the numerator and denominator by the HCF

12 ÷ 6

6 ÷ 6

Reduced fraction:

12/6 simplified to lowest terms is 2/1.

Answer: 2:1

Step-by-step explanation:

12:6

Both left and right can be divided by 6, like a fraction, reduce.

= 2:1

Answer:

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

so the two points of intersection will be (1,3) and (-4,-2)

hope this helps!

Given:

300 km square.

To convert square km to square feet.

So, 300 square km will be,

Answer:

The favorite hero essay has be explained below.

The good characteristics of the hero is listed as

The first thing is sacrifice is the forfeiture of something highly valued for the Then the next character is determination is a fixed intention or resolution; a firmness of purpose or resolve.

And the final and most important character is loyalty is the feeling of allegiance or the act of binding oneself to a course of action.

Here among them I prefer Mahatma Gandhi as my favorite hero and the place of Gandhi in the history of India is assured among the greatest personalities.

Where in his period many intellectuals and brilliant people were born but in Mahatma all the qualities and virtues of sages are found to have been blended curiously.

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Answer:

-2, 2, 6

Step-by-step explanation:

f(-4)= -4+2=-2

f(0)=0+2=2

f(4)=4+2=6

Substitute x for the number in parentheses

The values of f(-4), f(0), and f(4) are -2, 2, and 6 after plugging the value of x: -4, 0, and 4.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

The function f(x) = x + 2

To find the value of f(-4):

Plug x = -4 in the function:

f(-4) = -4 + 2 = -2

To find the value of f(0):

Plug x = 0 in the function:

f(0) = 0 + 2 = 2

To find the value of f(4):

Plug x = 4 in the function:

f(4) = 4 + 2 = 6

Thus, the values of f(-4), f(0), and f(4) are -2, 2, and 6 after plugging the value of x: -4, 0, and 4.

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Answer:

5 shirts

Step-by-step explanation:

we can use the problem to get an equation:

65+15x=50+20x

subtract 50 from each side to get:

15+15x=20x

subtract 15x from each side to get:

15=5x

divide each side by 5 to get your answer:

x=5

The given image is rotated by 180 degrees.

The term "rotation" describes how an object or a point rotates around a fixed axis or center. In mathematics, rotation is a transformation where an object is twisted or spun in one direction or another around a fixed point known as the centre of rotation.

The center, angle, and direction of a rotation can all be identified in terms of geometry. Either clockwise or anticlockwise rotation is possible. A 360-degree rotation is a full turn or full revolution, while a 90-degree anticlockwise rotation is also referred to as a quarter-turn.

For the given quadrilateral when the image is rotated along the axis of symmetry the other image is obtained at 180 degree rotation.

Thus, the given image is rotated by 180 degrees.

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Answer:

is 125,000

Step-by-step explanation:

We need 8 plates for muffins, 4 plates for breadsticks, and 7 plates for rolls, with this arrangement, all plates will have the same amount of items, 12 per plate.

What are the denominator and numerator?

A fraction's top digit is always referred to as the numerator. It displays the number of our parts. A fraction's numerator—the lowest digit—is referred to as the denominator. It displays the overall number of pieces that something can be broken down into.

we have to divide each item in a way that gives us equal groups on each plate,

we have to find a divisor for each item that gives us the same result.

Muffins.

96/2=48

96/3=32

96/4=24

96/8=12

That is, by dividing all muffins into 8 plates we would have 12 muffins per plate.

Breadsticks.

48/2=24

48/4=12

That is, by dividing all breadsticks into 4 plates we would have 12 breadsticks per plate.

Rolls.

84/2=42

84/3=28

84/4=21

84/6=16

84/7=12

By dividing all rolls in 7 plates, we would have 12 rolls per plate.

Therefore, we need 8 plates for muffins, 4 plates for breadsticks, and 7 plates for rolls, with this arrangement, all plates will have the same amount of items, 12 per plate.

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Answer:

C or D would be the best answers to choose from

Step-by-step explanation:

Answer:

Not all the means are equal.

Step-by-step explanation:

In an ANOVA table, a sum of squares for the independent variable divided by its respective degrees of freedom.

So if the omnibus null hypothesis is rejected it means that there is sufficient evidence to conclude that not all the means are equal.

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If the omnibus null hypothesis is rejected in a one-factor ANOVA, then, we can conclude that at least one of the population means is different from at least one other population mean.

ANOVA table gives us the total sum of squares ( TSS ), the residual sum of squares ( RSS ) and the estimated sum of squares ( ESS ).

It establishes the relation that:

ESS + RSS = TSS.

If we reject the omnibus null hypothesis, then it means that:

at least one of the population means is different from at least one other population mean.

Therefore, we get that, if the omnibus null hypothesis is rejected in a one-factor ANOVA, then, we can conclude that at least one of the population means is different from at least one other population mean.

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Answer:

SA = 94 ft²

Step-by-step explanation:

To find the surface area of a rectangular prism, you can use the equation:

SA = 2 ( wl + hl + hw )

SA = surface area of rectangular prism

l = length

w = width

h = height

In the image, we are given the following information:

l = 4

w = 5

h = 3

Now, let's plug in the information given to us to solve for surface area:

SA = 2 ( wl + hl + hw)

SA = 2 ( 5(4) + 3(4) + 3(5) )

SA = 2 ( 20 + 12 + 15 )

SA = 2 ( 47 )

SA = 94 ft²

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Answer:

I got 9/20

Hope that helps!

Using visual interpretation of the plot trend, the scatter plot shows positive correlation.

A positive correlation is depicted by a positive slope or trend line on a scatter plot. The trend of the scatter plot slopes upward which establishes a positive association.

If the slope is otherwise negative, such that the trend line slopes downward, then we have a negative association or relationship.

Therefore, the scatter plot shows positive relationship.

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The numbers that fit the sum and products are 15 and -2

From the question, the equation is given as

x² + 13x - 30

Also, we have:

Two numbers that multiply to equal -30 and add to equal 13

Represent these numbers with a and b

So, we have the following representations

a + b = 13

ab = -30

Express -30 as 15 * -2 in ab = -30

So, we have

ab = 15 * -2

By comparison, we have

a = 15 and b=-2

In a + b = 13, we have

15 - 2 =13

Hence, the numbers are 15 and -2

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The transformation of A is A' = (8, -3)

From the graph, we have:

A = (3,1)

The scale factor and the center of dilation are given as:

k = 2

(a,b) = (-2,1)

The rule of reflection across the axis is:

(x,y) ⇒ (x,-y)

So, we have:

A' = (3,-1)

The rule of dilation is represented as:

(x,y) ⇒ (k(x - a) + a, k(y - b) + b)

So, we have:

A' = (2(3 + 2) - 2, 2(-1 - 1) + 1)

Evaluate

A' = (8, -3)

Hence, the transformation of A is A' = (8, -3)

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The rate of interest for 2nd year is 4.1%

From the given parameters;

Rate of interest for 1st year = 2.5

As we know the formula for Simple interest is given by

                         => I = (PTR)/100

We will use this formula in the following problem

Let 100 be Feri's investment

At the Rate of interest of 2.5  

Interest on 100 = [(100(1)(2.5)]/100 = 2.5

Total amount at end of 1st year = 100 + 2.5 = 102.5

Let x be the rate of interest for 2nd year

At the rate of interest of x

interest on 100 = [(100(1)(x)]/100 = x

Total amount at end of 2st year = 102.5 + x  

Given that, at end of the 2 years, the rate of interest becomes 6.6%  

Interest on 100 at the rate of 6.6%  

=>  [(100(1)(6.6)]/100 = 6.6

=> total amount = 100 + 6.6 = 106.6

As we know in both cases, the amount must be equal

=> 102.5 + x  = 106.6  

=> x = 4.1

Therefore, The rate of interest for 2nd year = 4.1

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