Virtual lab:solubility

need help filling out the rest of the table and the question on the bottom

Answer:

AB=5.83

Step-by-step explanation:

Distance Formula=

\( \sqrt{(x2 - x1)^{2} - (y2 - y1)^{2} } \)

Plugging our values in, we get:

\( \sqrt{(7 - 2)^{2} + (4 - 1)^{2} }\)

And if we solve it like this:

\( \sqrt{25 + 9} \)

We end up with:

\( \sqrt{34} \)

Which is about 5.83

Answer:

-7,-6,-3.these are the vertices

The centroid of the region bounded by the curves y = 12x and y = √x is (72,1.88).

To find the centroid of the region bounded by the given curves y = 12x and y = √x, the following steps should be followed.

Step 1: Sketch the region bounded by the two curves to have an idea of what the region looks like.

Step 2: Determine the area of the region bounded by the two curves. The area A can be computed by evaluating the definite integral of the difference between the two functions. \(\[\int\limits_{0}^{144} (\sqrt{x}-12x)dx\]\)  We solve for this integral below.\(\[\int\limits_{0}^{144} (\sqrt{x}-12x)dx = 64 - 1728 + \frac{2}{3}\sqrt{6}\] \[\int\limits_{0}^{144} (\sqrt{x}-12x)dx = -1663.30\]\)

Step 3: To find the centroid of the region, we need to determine the x and y coordinates of the centroid. The x-coordinate of the centroid is given by the formula below.

\(\[x = \frac{1}{A}\int\limits_{a}^{b} \frac{1}{2}(y_1^2-y_2^2)dx\]\)

where A is the area of the region, and y1 and y2 are the upper and lower functions, respectively. Substituting values, we obtain

\(\[x = \frac{1}{-1663.30}\int\limits_{0}^{144} \frac{1}{2}((\sqrt{x})^2-(12x)^2)dx\]  \[x = 72\]\)

 The y-coordinate of the centroid is given by the formula below.

\(\[y = \frac{1}{2A}\int\limits_{a}^{b}(y_1+y_2)\sqrt{(y_1-y_2)^2+4dx}\]\)

 Substituting values, we obtain \(\[y = \frac{1}{2(-1663.30)}\int\limits_{0}^{144}(12x+\sqrt{x})\sqrt{(\sqrt{x}-12x)^2+4dx}\]  \[y = 1.88\]\)

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\(4\div\cfrac{5}{7}\implies \cfrac{4}{1}\div\cfrac{5}{7}\implies \cfrac{4}{1}\cdot \cfrac{7}{5}\implies \cfrac{28}{5}\implies 5\frac{3}{5}\)

Answer:

68

Step-by-step explanation:

The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle

3x - 2 + 4x + 4 = 6x + 8 add like terms

7x - 2 = 6x + 8

7x - 6x = 8 + 2

x = 10

The measure of exterior angle

6x + 8 = 6*10 + 8

The measure of exterior angle is 68 degrees

You are c) a structure. A structure is a collection of one or more different types of variables, including arrays and pointers, that have been grouped under a single name for each manipulation.

A structure is a user-defined data type that allows you to group together related data. For example, you could create a structure to store the name, age, and address of a person. The structure would have three variables, each of a different type: a string variable for the name, an integer variable for the age, and a string variable for the address.

The advantage of using a structure is that it allows you to treat the related data as a single unit. This makes it easier to manipulate the data and to pass the data to functions.

The other answer choices are incorrect. A template is a blueprint for creating a generic class or function. An array is a collection of elements of the same type. Local variables are variables that are declared within a function and that are only accessible within the function.

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Answer:

-3x

General Formulas and Concepts:

Step-by-step explanation:

Step 1: Write expression

2x - 5x

Step 2: Combine like terms (x)

-3x

The rate of commission for the sale is 7.47%.

A percentage is a figure or ratio that can be stated as a fraction of 100. If we need to determine the percentage of the given number, we divide the number by its whole number and multiply it by 100. As a result, the percentage is one part in one hundred. "Per 100" is short for "per percent." It is represented by the symbol "%".

Given Brittany makes only a commission at her job as a door-to-door salesperson.

total sales = $3,456

total earnings from sale = $258.25

rate of commission = total earnings/total sales

rate of commission = 258.25/3456

rate of commission = 0.0747

percent rate = 0.0747 x 100

rate of commission = 7.47%

Hence the rate of commission is 7.47%.

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Answer:

36 is the answer

Answer:

The answer is D

Step-by-step explanation:

I am very sure that the correct answer.:)

The relation "r" on the set of all integers, where x = y^2, is not reflexive.

A relation is reflexive if every element in the set is related to itself. In this case, for the relation x = y^2 to be reflexive, every integer "x" should be related to itself, meaning that x = x^2. However, this is not true for all integers.

For example, if we consider x = 2, it is not equal to 2^2 = 4. Similarly, if we consider x = -3, it is not equal to (-3)^2 = 9.

Since there are integers that do not satisfy the condition x = x^2, the relation x = y^2 is not reflexive on the set of all integers.

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The trigonometric function use to solve the angle x in the right triangles are as follows:

A right angle triangle is a triangle that has one of its angles as 90 degrees.  The side and angles of a right angle triangle can be found using trigonometric ratios.

Therefore, the trigonometric function that can be use to find the angle x in the triangles are as follows:

Triangle PNM

sin x = opposite / hypotenuse

sin x = 6 / 10

sin x = 3 / 5

Triangle ABC

cos x = adjacent / hypotenuse

cos x = 5 / 10

cos x = 1 / 2

Triangle DEF

tan x = opposite / adjacent

tan x = 4 / 6

tan x = 2 / 3

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In the story "Mr. Linden's Library," Carol's curiosity is evident as she eagerly explores the library, wonders about its contents, and immerses herself in books, showcasing her natural thirst for knowledge.



In the story "Mr. Linden's Library," Carol exhibits several thoughts and actions that demonstrate her natural curiosity. On pages 240-242, the following instances highlight her inquisitive nature:

1. Carol's initial interest: When Carol first hears about Mr. Linden's library, she becomes immediately curious and eager to explore it. Her excitement indicates her natural curiosity and desire for new knowledge.

2. Wondering about the library's contents: As Carol enters the library, she starts imagining what books might be present. She wonders about the possibilities and what mysteries the library might hold. This demonstrates her inquisitive mind, always seeking answers and new experiences.

3. Actively exploring the library: While inside, Carol actively explores the library, examining different shelves and titles. She is genuinely interested in the books and artifacts, indicating her natural curiosity and desire to discover and learn.

4. Delving into books: Carol dives into a book on Greek mythology and loses track of time, immersing herself in the fascinating stories. This action showcases her curiosity-driven passion for learning and her willingness to explore different subjects.

Overall, Carol's immediate interest, wondering about the library's contents, active exploration, and delving into books exemplify her natural curiosity throughout the mentioned pages of the story.

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Thus, beginning with a 1 = 5, the formula a n = a n-1 + 7 can be used to recursively find the nth term of the sequence.

A sequence in mathematics is an ordered collection of numbers that is typically defined by a formula or rule. Every number in the series is referred to as a term, and its location within the sequence is referred to as its index. Depending on whether the list of terms stops or continues indefinitely, sequences can either be finite or infinite. By their patterns or uniformity, sequences can be categorised, and the study of sequences is crucial to many areas of mathematics, such as calculus, number theory, and combinatorics. Mathematical, geometrical, and Fibonacci sequences are a few examples of popular sequence types.

given

The sequence's terms are all different by 7 (i.e., 12 - 5 = 19 - 12 = 26 - 19 =... = 7).

The following is a definition of a recursive formula for the nth element of the sequence:

a 1 = 5 (the first term of the series is 5) (the first term of the sequence is 5)

For n > 1, each term is derived by adding 7 to the preceding term, so a n = a n-1 + 7.

Thus, beginning with a 1 = 5, the formula a n = a n-1 + 7 can be used to recursively find the nth term of the sequence. For instance, we have

a_2 = a_1 + 7 = 5 + 7 = 12

a_3 = a_2 + 7 = 12 + 7 = 19

a_4 = a_3 + 7 = 19 + 7 = 26

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Answer:

90.93%

Step-by-step explanation:

It is clear that the table is a linear function. That is, every hour, the amount of corn increases by the same amount. You can find the slope of the linear function by using the slope formula:

\(m=\frac{y_2-y_1}{x_2-x_1}\)

In your case, the number comes out to be 825. So the number of corn will be 825*10 = 8250 cu ft.

Now, we know that the volume is area times height. So if the area is pi * r * r, then the volume of the shape is 2888*pi.

Therefore, the answer is 8250/2888*pi or 90.93%.

Answer:

D is congruent

Step-by-step explanation:

congruent means the same shape

Answer:

9 m

Step-by-step explanation:

Given that:

Carousel diameter = 8m

Radius of carousel = 8m / 2 = 4m

From the attached picture :

xo = d ; from the diagram attached ;

Using Pythagoras :

Cosθ = Adjacent / hypotenus

Cos 60 = d / 4

0.5*4 = d

d = 2

d = 2m

d + length of Radius + initial distance from fence

2m + 4m + 3m = 9m

A tsp (teaspoon) and mL (milliliter) are both units of measurement for liquid volume. And 2 tsp, it is equal to approximately 9.85784 mL, which is close to 10 mL.

However, they are not directly interchangeable. To convert tsp to mL, you can multiply the number of tsp by 4.92892.

It's important to note that the conversion factor between tsp and mL is not exact, because the teaspoon measurement is an imperial measurement and milliliter is a metric measurement. One tsp is equal to approximately 4.92892 mL. In the case of 2 tsp, it is equal to approximately 9.85784 mL, which is close to 10 mL. It's also worth noting that different countries may have different size of tsp, so it's important to double check the conversion factor based on the specific measurement you are using.

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Answer:

A) spring tide

Step-by-step explanation:

The coordinates of the translated points if the translation sequence is repeated n times according to the task content is; (nc, nd).

It follows from the task content that the point in discuss is at the origin. Hence, the point is; (0, 0).

Also, since the point is repeatedly translated c units horizontally and d units vertically, it follows from transformations that the resulting point is;

((0+c), (0+d))

Ultimately, when the translation sequence is repeated n times; the resulting pair of coordinates is; ((0+nc), (0+nd)).

And upon simplification, we have; (nc, nd).

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The option (c) 40 + 360n, for any integer, n is correct for the given angle.

It is given that the options given below represent the measures of all angles coterminal with a 400° angle.

It is required to find the correct option given below:

a) 360 + 40n, for any integer, n

b) 360 + 40n, for any whole number, n

c) 40 + 360n, for any integer, n

d) 40 + 360n, for any whole number, n

For the given terminal angle the coterminal angles are defined as the different angle measures with the same terminal side and vertex side.

The given angle = 400°

If we subtract 360° from it, we will get:

= 400-360 = 40°

If we add 360° to a given angle: we get:

=400+360 = 760°

Here option (c) is correct because if we put n=0,1,2...., we get:

=40° (if n = 0)

= 400° (if n= 1)

=760 (if n=2)

Thus, option (c) 40 + 360n, for any integer, n is correct for the given angle.

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Answer:

its C

Step-by-step explanation:

Ryan makes a profit of £240.  the total sales now amount to £600. By subtracting the cost of the jumpers, i.e. £190, from the total sales, we calculate that Ryan makes a profit of £240.

Ryan spends £190 to buy 80 jumpers. He sells 50% of the jumpers, i.e. 40 jumpers, at £12 each. This brings the total sales to £480. Then, he puts the remaining 40 jumpers on a Buy one get one half price offer. He sells 20 of the remaining jumpers using this offer. Therefore, the total sales now amount to £600. By subtracting the cost of the jumpers, i.e. £190, from the total sales, we calculate that Ryan makes a profit of £240.

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\(\boxed{\underline{\blue{\textrm{Area of Rectangle = l × b}}}}\)

Area = 3x⁴ × 5x⁵

Area of rectangle = 15x⁹

Answer:

Area of rectangle = 15x⁹

Answer:

1) 25%

2) 80%

3) 15%

hope this helps

Kevin’s statement that a new car depreciates in value by an average annual rate of 20% and will be worth nothing after 5 years is incorrect.

Depreciation rates vary and are affected by several factors, such as the make and model of the car, mileage, wear and tear, and market demand.
A new car will lose a significant amount of its value in the first few years due to depreciation, but this does not mean that it will be worth nothing after 5 years.

According to data from Edmunds, a car will typically lose around 15-25% of its value in the first year, and around 60% of its value after 5 years. However, this is not a universal rule, and some cars may depreciate more or less than others.
The rate of depreciation is also influenced by factors such as the mileage on the car, its condition, the popularity of the make and model, and overall market demand. Certain vehicles, such as luxury or sports cars, may also depreciate more rapidly than other cars.

In conclusion, Kevin’s statement that a new car will depreciate in value by an average of 20% per year and be worth nothing after 5 years is not accurate. While cars do depreciate in value over time, they typically do not become worthless. The rate of depreciation varies depending on several factors, such as the make and model of the car, mileage, wear and tear, and market demand. Therefore, it is important to research and consider all these factors before making a decision to purchase a new car.

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In hypothesis testing, a Type I error (or alpha error) is committed when the null hypothesis is rejected even when it is true. The Type I error rate is the probability of rejecting the null hypothesis when it is actually true. In other words, it is the probability of obtaining a result that is extreme enough to cause the null hypothesis to be rejected even though it is true.

Suppose the null hypothesis is that Darrell has worked 20 hours of overtime this month. The null hypothesis is that Darrell has worked 20 hours of overtime this month. The alternative hypothesis is that Darrell has worked more than 20 hours of overtime this month. If we reject the null hypothesis and conclude that Darrell has worked more than 20 hours of overtime this month, but he has actually worked 20 hours or less, then a Type I error has occurred.

The probability of a Type I error occurring is equal to the significance level (alpha) of the hypothesis test. If the significance level is 0.05, then the probability of a Type I error occurring is 0.05. This means that there is a 5% chance of rejecting the null hypothesis when it is actually true.

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