expand and simplify the following\((\sqrt{6} +\sqrt{3})(\sqrt{6}-\sqrt{3}) \\(\sqrt{5} -\sqrt{2} )(\sqrt{2} +\sqrt{5} )\)

Answer:

The three paths intersect in pairs at the points A, B, and C. Measure and record the angle formed at each intersection

Step-by-step explanation:

Answer:

Refer the attached graph.

Step-by-step explanation:

Given : Time (h) Distance (km) able displaying Time in hours in one column and Distance in kilometers in the other. The time column contains 1, 3, 6, and 9. The distance column contains 2, 6, 12, and 18.

To plot : The points on the coordinate plane.

Solution :

Time is independent variable so it is taken on x-axis.

Distance is taken on y-axis.

x    y  

1     2

3    6

6    12

9    18

When we plot these points in the coordinate plane, we get a linear equation.

The linear equation form is  

Refer the attached graph.

Step-by-step explanation:

Plot a point on the coordinate plane to represent each of the ratio values in the table shows me how to point the ratio values in the table

Answer:

5 jumps per 15 seconds

Step-by-step explanation:

60/15 = 4

80/15 = 5

Have an amazing day!

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27.6

108/5= 21.6+6= 27.6

The numerator of the repeated-measures t-statistic is the difference between the means of two related groups, while the numerator of the single sample t-statistic is the difference between the sample mean and the population mean.

In a repeated-measures t-test, you compare the means of two related groups, typically in a pretest-posttest design or when participants are measured under two different conditions. The numerator for the repeated-measures t-statistic is calculated as:

Numerator (Repeated-Measures) = Mean_Difference - 0

where Mean_Difference is the mean of the differences between the two related groups.

In a single sample t-test, you compare the mean of a single sample to a known population mean. The numerator for the single sample t-statistic is calculated as:

Numerator (Single Sample) = (Sample_Mean - Population_Mean)

In summary, the numerators differ in that the repeated-measures t-statistic considers the differences between two related groups, while the single sample t-statistic compares a sample mean to a population mean.

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Answer:

The answer would be 4,8,10

Step-by-step explanation:

I got it Correct :)

Using the central angle theorem, the degree measure of x is 53°.

The length of AB is 18.8 units.

Given a circle.

We have the central angle theorem,

We have that the angle subtended by an arc of a circle at the center is twice the angle subtended by the same arc at any point on the circle.

Here, the arc is semicircle.

Angle subtended by semicircle at the center= 180°

So, ∠ADB = 180° / 2 = 90°

Interior angles of a triangle sum up to 180°.

x = 180 - (37 + 90) = 53°

sin (x) = BD / AB

sin (53) = 15 / AB

AB = 15 / sin (53)

AB = 18.78 ≈ 18.8 units

Hence the measure of x is 53° and the length of AB is 18.8 units.

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Given :

After 4 days, a plant is measured to be 10 inches tall.

Later, after a total of 20 days, then height is measured to be 18 inches.

To Find :

The rate of growth for the plant.

Solution :

We know, rate is given by :

\(Rat e=\dfrac{\text{Change in height}}{\text{Time taken}}\\\\Rate = \dfrac{18-10}{20-4}\\\\Rate = 0.5 \ inch/day\)

Therefore, rate of increase of height is 0.5 inch/day .

Hence, this is the required solution.

Answer:2

Step-by-step explanation:x is -1. -(-1) is 1. 1+1=2

The correct answer is A. a-c+b-d=0. This is because when two sets of numbers are both negative, the result of subtracting the larger number from the smaller number will always be negative.

Subtraction involves taking one number or value away from another. It is one of the four basic operations in mathematics, along with addition, multiplication, and division.

When subtracting a from c and b from d, the result of either subtraction will always be a negative number. When the two negative numbers are added together, the result will always be 0.

The other options are not always true. In option B, ac > bd, this is not always true because when a, b, c, and d are all negative, it is possible for the result of ac to be less than the result of bd. In option C, a+c>b+d, this is not always true because when both sets of numbers are negative, it is possible for the result of a+c to be less than b+d. Finally, in option D, a/d < b/c, this is not always true because when both sets of numbers are negative, it is possible for the result of a/d to be greater than b/c.

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The correct answer is A. a-c+b-d=0 because the expression is always true when a, b, c and d are all less than zero.

Expression is a combination of symbols and operators that evaluate to a single value. It could be a mathematical equation, an arithmetic expression, a logical expression, or a combination of these.

This is because the expression is equivalent to (a-c)+(b-d)=0, which is always true when a, b, c and d are all less than zero.

This can be proven through a simple calculation.

Let us assume that the values of a, b, c and d are -1, -3, 8 and -4 respectively.

Substituting these values into the expression gives us

(-1-3)+(8-4)=0, which is clearly true.

Therefore, A. a-c+b-d=0 is the correct answer as the expression is always true when a, b, c and d are all less than zero.

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Answer:

544 acres

Step-by-step explanation:

There is 100% in a whole.

1% is 1/100th of the whole, or 0.01 of it. We get this because 1/100 = 1/100 = 0.01

Similarly, 0.8/100 = 0.008. We then multiply the decimal by the total to get

(0.008) ( 68000) = 544 acres

Answer:

18

Step-by-step explanation:

y=k×x

15=k×5

=>k=15/5=3

when x=6,

y=3×6

  =18

Answer:

A. Thermal energy is the kinetic energy contained in an object or substance due to the movement of its atoms and/or molecules.
Explanation:

Just took the Quick Check :)

The best description of thermal energy is that it is the kinetic energy contained in an object or substance due to the movement of its atoms and/or molecules.

Thermal energy is the kinetic energy contained in an object or substance due to the movement of its atoms and/or molecules.

It is a type of internal energy, which is the energy possessed by a system due to the movement and interactions of its constituent particles.

We have,

Thermal energy is a measure of an object or substance’s heat:

While thermal energy and heat are related, they are not exactly the same thing.

Heat is the transfer of thermal energy between objects or substances due to a temperature difference.

Thermal energy, on the other hand, is the energy contained in an object or substance due to the movement of its particles.

Thermal energy is kinetic energy:

While thermal energy is related to kinetic energy, they are not exactly the same thing.

Kinetic energy is the energy of motion, while thermal energy specifically refers to the kinetic energy of an object's particles.

Thermal energy is the energy stored in an object’s chemical bonds:

While chemical bonds do store energy, this is not the best description of thermal energy.

Thermal energy specifically refers to the energy stored in the movement of an object's particles.

Therefore,

The best description of thermal energy is that it is the kinetic energy contained in an object or substance due to the movement of its atoms and/or molecules.

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Once we have categorized an object, our memory of the object increasingly resembles the category is B) prototype. This means that when we categorize an object, our memory of it begins to resemble the prototype or typical example of that category. For example, if we categorize a bird as a robin, our memory of the bird will increasingly resemble the characteristics of a typical robin.

This happens because our brain uses prototypes as a shortcut to process information and make sense of the world around us. We use prototypes to quickly identify objects and make assumptions about their characteristics based on their category.

our memory of an object after categorization is influenced by the prototype of the category. This helps us to quickly process and make sense of information, but it can also lead to errors and biases in our thinking.


A prototype is a mental image or best example of a category. When we categorize an object, our memory of the object increasingly resembles the prototype because we tend to recall the most representative or typical example of the category.

Once we categorize an object, our memory of the object becomes more like the prototype, which is the best example of the category. This is because we tend to remember the most representative or typical examples of a category.

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Answer:

Part A: The appropriate design for the study includes;

Treatment used; Chamomile oil treatment

Method of treatment; Application of the chamomile oil to the cervical region of patients experiencing pain due to pinched nerves

Treatment assignment; Treatment should be assigned to patients with pinched nerves

Variables that should be measured; Reduction or relief of pain as reported by the patients

Part B; The study should be administered equally to both male and female as the symptoms can be experienced by both male and female

Part C; The design could be double blind by replacing the chamomile administered by placebo, thereby preventing bias from both researcher and participants in the results of the research.

Step-by-step explanation:

Step-by-step explanation:

does that mean you understand all the other questions but not 5. ?

that is strange, as this seems to be the easiest one of all the 6 questions.

to be sure, let's have a look at all 6.

1.

the distance MJ = 18 - 2 = 16

MX / XJ = 3/1

the ratio talkes about 3+1 = 4 basic units.

as the whole distance is 16, one such basic ratio unit is 16/4 = 4.

that means from M to X we have 3 of these basic ratio units, and from X to J the remaining 1 of the basic ratio units.

so, MX = 3×4 = 12

since M = 2, X = 2 + 12 = 14

2.

similar to 1.

just now

MY / YJ = 2/3

so, the ratio uses 2+3 = 5 basic units.

that means 1 basic unit is 16/5 = 3.2

2 basic units = 2 × 3.2 = 6.4

3 basic units = 3 × 3.2 = 9.6

so, MY = 6.4

since M = 2, Y = 2 + 6.4 = 8.4

3.

the distance A F = 5 - -7 = 5 + 7 = 12

AW / WF = 1/3

so, the ratio uses 1+3 = 4 basic units.

1 basic unit is 12/4 = 3

3 basic units is 3 × 3 = 9

so, AW = 3

since A = -7, W = -7 + 3 = -4

4.

the distance BF = 5 - -5 = 5 + 5 = 10

BX / XF = 3/2

so, the ratio uses 3+2 = 5 basic units.

1 basic unit = 10/5 = 2

2 basic units = 2 × 2 = 4

3 basic units = 3 × 2 = 6

so, BX = 6

since B = -5, X = -5 + 6 = 1

5.

the distance CE = 2 - -4 = 2 + 4 = 6

CY / YE = 1/1

so, the ratio uses 1+1 = 2 basic units.

1 basic unit = 6/2 = 3

so, CY = 3

since C = -4. Y = -4 + 3 = -1

6.

attention : this goes in the other direction than the other questions. all the others were looking from a point on the left to a point on the right.

but this one looks from a point on the right to a point on the left.

but the same principles apply.

the distance FD = |1 - 5| = |-4| = 4

a distance is always positive, so for this direction we need to apply the absolute value (formality we did that also for the other direction in the other questions, but there it was not necessary to use it explicitly) .

FZ / ZD = 5/3

so, the ratio uses 5+3 = 8 basic units.

1 basic unit = 4/8 = 0.5

3 basic units = 3 × 0.5 = 1.5

5 basic units = 5 × 0.5 = 2.5

so, FZ = 2.5

since F = 5, Z = 5 - 2.5 = 2.5

this is where the other direction really hits : since we have to go to the smaller side, we have to subtract the distance from the original coordinate (instead of the usual addition).

Answer:

10 + 2. 3(10 + 2) = ? something like that I think .

Step-by-step explanation:

A 2x3x2 factorial design has three independent variables. What is a factorial design? A factorial design is an experimental design that studies the impact of two or more independent variables on a dependent variable.

The notation of a factorial design specifies how many independent variables are used and how many levels each independent variable has. In a 2x3x2 factorial design, there are three independent variables, with the first variable having two levels, the second variable having three levels, and the third variable having two levels.

The number of treatments or conditions required to create all feasible combinations of the independent variables is equal to the total number of cells in the design matrix, which can be computed as the product of the levels for each factor.

In this case, the number of cells would be 2x3x2=12.Therefore, a 2x3x2 factorial design has three independent variables and 12 treatment groups..

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1.The machine will have no value after 48 months. 2.The graph of the machine's value over time will be a straight line. 3.The slope of the graph represents the rate of depreciation per month. 4.The intercepts of the graph indicate the initial value and zero value. 5.The expression V = -750x + 28,000 represents the value of the machine. 6.The machine has no value when x = 37 according to the expression. 7.The answer obtained using the expression differs from the answer in 8.question 1 due to possible rounding errors or calculation variations.

To determine when the machine has no value, we observe the pattern of depreciation. Based on the given data, the machine depreciates by $3,500 every 6 months. Therefore, it will take 48 months (8 cycles of 6 months) for the machine to have no value.

The table shows a consistent decrease in value over time with equal intervals of 6 months. This indicates a linear relationship between the number of months and the value. A linear relationship is represented by a straight line on a graph.

The slope of the graph can be determined by calculating the change in value divided by the change in time. In this case, the slope is (-750), meaning the value decreases by $750 per month. It represents the rate of depreciation per month.

The intercepts of the graph are obtained by determining the value of the machine at the start (initial value intercept) and when it reaches zero (zero value intercept). The initial value intercept is $28,000, which represents the starting value of the machine. The zero value intercept occurs when the machine has no value.

The expression V = -750x + 28,000 represents the value of the machine. The coefficient of x (-750) represents the rate of depreciation per month, while the constant term (28,000) represents the initial value.

Using the expression, when x = 37, the machine has no value. This differs from the answer in question 1 (48 months). The discrepancy could be due to rounding errors or variations in the method used to calculate the exact point at which the value reaches zero.

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Answer:

the answer is 24. 891 + 6. 588 - 16. 965 is14.514

Answer: 14.514

Step-by-step explanation:

24.891 + 6.588 = 31.479

31.479 - 16.965 = 14.514

Happy to help; have a great day! :)

M = A + |B| is the function's highest possible value. When sin or cos x equals 1, this maximum value is reached. m = A |B| is the function's lowest possible value. If either cos x or sin x is equal to 1, this minimum will be reached.

Example :

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The cross sectional area would be  3.33 * 10^-3 m^2.

The cross-sectional area is the area of a two-dimensional shape that is obtained when a three-dimensional object - such as a cylinder - is sliced perpendicular to some specified axis at a point.

To find the cross-sectional area of the tendon, we need to use the equation for stiffness, which is:

Stiffness = Force / (Cross-sectional area * Change in length)

Rearranging the equation to solve for cross-sectional area,

we get:

Cross-sectional area = Force / (Stiffness * Change in length)

Plugging in the given values, we get:

Cross-sectional area = (10 kN) / (10 kN/m * 0.03 m)

Cross-sectional area = 1 / 0.3

Cross-sectional area = 3.33 * 10^-3 m^2

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The length of the side opposite the angle of 53.1 degrees in a right triangle with a hypotenuse of 10 cm is 8 cm.  (A)

This can be found using trigonometry and the Pythagorean theorem. The trigonometric function sine can be used to find the ratio of the length of a side to the length of the hypotenuse given an angle in a right triangle.

In this case, the sine of the angle 53.1 degrees is the ratio of the length of the side opposite the angle to the length of the hypotenuse, which is 10 cm.

Therefore, the length of the side opposite the angle 53.1 degrees can be found by multiplying the sine of the angle by the length of the hypotenuse, which is 10 cm * sin(53.1) = 8 cm.

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Answer:

Step-by-step explanation:

0.50(15)+20=x

7.50+20=x

27.5=x

Therefore, x means how much the visit to the amusement park will cost her.

The solution to the system of inequalities y ≤ 2x + 2 and y < -2x - 3 can be represented by a graph. The inequality y ≤ 2x + 2 represents a line with a slope of 2 and y-intercept of 2. The inequality y < -2x - 3 represents a line with a slope of -2 and y-intercept of -3. ( The graph attached)

The inequality y ≤ 2x + 2 represents a line in the form y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is 2 and the y-intercept is 2. To graph this inequality, we can first plot the line by using the y-intercept, which is the point (0,2) on the graph. Then, we can use the slope to find additional points that fall on the line, such as (1,4) or (-1,0). Once we have plotted several points, we can connect them to form the line.

The inequality y < -2x - 3 represents a similar line, but with a different slope and y-intercept. In this case, the slope is -2 and the y-intercept is -3. To graph this inequality, we can use the same process as before by first plotting the y-intercept (0,-3), and then using the slope to find additional points that fall on the line.

The solution to the system of inequalities is the area that lies on one side of the first line and the opposite side of the second line, which is the area between the two lines. This area can be represented by shading the region below the first line and above the second line on the graph. It is important to note that the solution region is not including the lines themselves, because the inequalities are strict inequalities.

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On solving the provided question, we can say that the equation we have here is\(X_(n+1)= (x-n)^{3} - \frac{2}{10}\) at \(x_1 = -1\) n = 0 , \(x_1 = \frac{-3}{10}\)

Two assertions in a mathematical equation are joined by the equal sign (=), which stands for equality.

A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places a space between the variables 3x + 5 and 14.

The connection between the two sentences on either side of a letter is explained by a mathematical formula. Typically, there is only one variable, which also serves as the symbol.

A simple equation is a mathematical formula that, on both sides of the "equal to" sign, expresses the relationship between two expressions. Equations in this category include a variable, which is typically expressed as x or y. Simple equations often need to be rearranged in order to be solved.

the equation we have here is

\(X_(n+1)= (x-n)^{3} - \frac{2}{10}\) , at \(x_1 = -1\)

n = 0

\(x_1 = \frac{-3}{10}\)

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Answer:

Step-by-step explanation:

y=10

Answer:

Step-by-step explanation:

b/7<23

Answer:

almost! for the ones you're missing:

for y=1/2x-3 slope is 1/2, y intercept is -3, x intercept 1/2, and it is linear.

for y=-2x the slope is 2, y intercept would be zero

for the ones who don't have any y intercept defined, it would automatically be zero by the way your teacher might take points off for that