HCF of 120,75 and 100​

Answer:

Step-by-step explanation:

\(y=(\frac{1}{g} )x\)

Constant up a proportionally is  \(\frac{1}{g}\).

Answer:

The area of this circle is \((\frac{\pi}{2} )\)  the area of the square.

For the uniform electric field normal to the surface, the flux through the surface is electric field multiplied by the area of this surface.

Therefore, Φsquare is \((\frac{2}{\pi} )\) ϕcircle

Step-by-step explanation:

Area of the circle is given by;

\(A_c = \frac{\pi d^2}{4}\)

Area of the square is given by;

\(A_s = L^2\)

relationship between the edge length of the square, d, and length of its side, L,

\(d = \sqrt{L^2 + L^2} \\\\d = \sqrt{2L^2}\)

But area of the square , \(A_s = L^2\)

\(d = \sqrt{2A_s}\)

Then, the area of the square in terms of the edge length is given by;

\(A_s = \frac{d^2}{2}\)

Area of the circle in terms of area of the square is given by;

\(A_c = \frac{\pi d^2}{4} = \frac{\pi}{2}(\frac{d^2}{2} )\\\\But \ A_s = \frac{d^2}{2} \\\\A_c = \frac{\pi}{2}(\frac{d^2}{2} )\\\\A_c = \frac{\pi}{2}(A_s )\)

For the uniform electric field normal to the surface, the flux through the surface is electric field multiplied by the area of this surface.

Ф = E.A

Flux through the surface of the circle is given by;

\(\phi _{circle} = E.(\frac{\pi d^2}{4})\)

Flux through the surface of the square is given by;

\(\phi _{square} = E.(\frac{d^2}{2} )\\\\\phi _{square} =E.(\frac{d^2}{2} ).(\frac{\pi}{2} ).(\frac{2}{\pi} )\\\\\phi _{square} =E.(\frac{\pi d^2}{4} ).(\frac{2}{\pi} )\\\\\phi _{square} =(\phi _{circle}).(\frac{2}{\pi} )\)

Therefore, Φsquare is \((\frac{2}{\pi} )\) ϕcircle

If the circle has the same diameter as the edge length of the square, then the area of this circle is \(\rm \dfrac{\pi }{2}\) the area of the square

The uniform electric field is normal to the surface, the flux through the surface is the electric field multiplied by the area of this surface.

Φsquare is \(\dfrac{2}{\pi}\)  ϕcircle

If the circle has the same diameter as the edge length of the square, then the area of this circle is ___________the area of the square

For the uniform electric field normal to the surface, the flux through the surface is____________the area of this surface.

Therefore, Φsquare is ________ ϕcircle .

1. If the circle has the same diameter as the edge length of the square, then the area of this circle is ___________the area of the square.

The area of the circle is;

\(\rm Area \ of \ circle = \dfrac{\pi d^2}{4}\)

The area of the square is;

\(\rm Area \ of \ square = a^2\)

The relationship between the edge length of the square, d, and length of its side a is;

\(\rm d = \sqrt{a^2+a^2}\\\\d = \sqrt{2a^2}\\\\d = \sqrt{2} a\)
The area of the circle in terms of the area of the square is;

\(\rm Area \ of \ circle = \dfrac{\pi }{2} \ Area \ of \ square\)

If the circle has the same diameter as the edge length of the square, then the area of this circle is \(\rm \dfrac{\pi }{2}\) the area of the square.

2. The uniform electric field is normal to the surface, the flux through the surface is the electric field multiplied by the area of this surface.

Ф = E.A

3. Flux through the surface of the circle is given by;

\(= \rm E\dfrac{\pi d^2}{4}\\\\=\dfrac{2}{\pi }\)

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The maximum value of the original data set is 109.

To determine the maximum value of the original data set from the given stemplot, we need to look at the rightmost digits in each stem and identify the highest value.

Looking at the stemplot:

O 10 | 0 0 8 9 8 9 0 0 0

0 20 | 5 4 7 9 6

0 30 | 1 4 6 7 7 9 7

0 40 | 0 0 2 5 5 7 7 9 9 8

0 50 | 1 2 2 2 3 4 5 5 7 8 9 9

0 60 | 0 0 0 3 3 3 3 6 8

The rightmost digits in each stem represent the original data values. We can see that the highest value occurs in the stem "10" with a rightmost digit of "9".

Therefore, the maximum value of the original data set is 109.

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-19.99; The line of best fit underpredicts the student's science test score.

So correct option is A.

A prediction is an estimation or forecast about future events or conditions, based on past data and trends, current information, and/or mathematical models. Predictions can be made in various fields, such as finance, weather, sports, social sciences, and natural sciences. The accuracy of predictions depends on many factors, including the quality of the data used, the assumptions made, the complexity of the system being analyzed, and the reliability of the methods used. Predictions are not always accurate and are often subject to revision as new information becomes available.

The predicted science score for the student with IQ 100 can be calculated using the line of best fit:

ŷ = −20.3 + 0.7489 * 100 = 71.59

The residual is the difference between the actual science test score and the predicted science score:

residual = actual score - predicted score = 52.6 - 71.59 = -19.99

So the line of best fit underpredicts the student's science test score by 19.99 points.

Therefore, the residual is:

-19.99; The line of best fit underpredicts the student's science test score.

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Answer:

100 pounds in 10 years

Step-by-step explanation:

10 pounds per year for 10 years

We simply multiply 10 pounds to 10 years to get 100 pounds

-Chetan K

Two-variable linear equations have a line as their graph, which is why they are referred to as linear equations. Plotting (x1,y1) and (x2,y2), then creating a line that connects the two.

\($\frac{d}{d x}\left(-(x-2)^2+1\right)$\)

Domain of \($-(x-2)^2+1:\left[\begin{array}{cc}\text { Solution: } & -\infty < x < \infty \\ \text { Interval Notation: } & (-\infty, \infty)\end{array}\right]$\)

Range of \($-(x-2)^2+1:\left[\begin{array}{cc}\text { Solution: } & f(x) \leq 1 \\ \text { Interval Notation: } & (-\infty, 1]\end{array}\right]$\)

Interception zones on the axis \($-(x-2)^2+1: \quad X$\) Intercepts: \($(3,0),(1,0), Y$\)Intercepts: (0,-3) .

Vertex of \($-(x-2)^2+1: \quad$\) Maximum (2,1) .

The graph of the equation y=2x+1 shows a straight line, or it is a linear equation. When the value of x rises, eventually the value of y rises by twice the rise in x plus one. With a ruler and the specified amount as the starting point, draw a vertical line. From the line across to the -axis, create a horizontal line using a ruler. Look at the value on the -axis.

There are three fundamental ways to graph linear functions. The initial method involves charting points and then tracing a line through them. The second is by using the slope and y-intercept. The identity function f(x)=x is transformed as the third method.

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Answer:

The correct option is A. Parallel line.

Answer: 9

Step-by-step explanation

The axiom of regularity is a set theory principle which states that every non-empty set C contains an element that is disjoint from C.

The set theory concept rules that for every non-empty set C there is an element x of C such that x does not intersect C. The regularity axiom aims to establish that no non-empty set will have itself as an element.

The principle which is also called the axiom of foundation is a fundamental concept in set theory and credited to Zermelo–Fraenkel.

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we can conclude that 2/3 is not equal to 4/5.

To determine if 2/3 is equivalent to 4/5, we can compare the fractions by checking if their ratios are equal. The ratio of 2/3 can be written as 2:3, while the ratio of 4/5 can be written as 4:5.

To check if the ratios are equal, we can cross-multiply and see if the products are equal. Cross-multiplying means multiplying the numerator of the first fraction with the denominator of the second fraction, and the numerator of the second fraction with the denominator of the first fraction.

For 2/3 and 4/5, we have:

2 * 5 = 10

3 * 4 = 12

Since 10 is not equal to 12, we can conclude that 2/3 is not equivalent to 4/5.

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9

Step-by-step explanation:

PEMDAS

inside parentheses we have 3*2 = 6

9-6 =3

3^2 = 9

Answer:

The answer is -136

Step-by-step explanation:

you multiply -34 by 4 which gives you -136

(Hope this help)

Correlation is the measure of the degree to which any two variables vary together.

If one variable tends to increase as the other variable decreases , the correlation is said to negative or inverse.

From the correlation we assess the strength of the relationship of two variables.

A  numerical measure of strength in the linear relationship between the two variables is called co efficient of simple correlation.

The  co efficient of simple correlation r is a pure number and assumes values from+1 to -1 .

r= -0.837295

The sign of r indicates the direction of the relationship or correlation.

It can be determined by finding the COV (X,Y)/ √Var (X) Var(Y)

In the given question it is calculated by using the excel sheet.

The correlation tab is found in the statistical column of the formula tab.

After entering the data in the excel the correlation tab is clicked and the rows cells are entered and the answer is obtained.

Another way is use the data analysis tab and click the correlation tab.

For both ways the following result is obtained .

r= -0.83729481

rounded to 6 places gives

r= -0.837295

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With the help of the given Venn diagram, the answer of n(A∪B) is 44 respectively.

A Venn diagram is a visual representation that makes use of circles to highlight the connections between different objects or limited groups of objects.

Circles that overlap share certain characteristics, whereas circles that do not overlap do not.

Venn diagrams are useful for showing how two concepts are related and different visually.

When two or more objects have overlapping attributes, a Venn diagram offers a simple way to illustrate the relationships between them.

Venn diagrams are frequently used in reports and presentations because they make it simpler to visualize data.

So, we need to find:

A ∪ B

Now, calculate as follows:

The collection of all objects found in either the Blue or Green circles, or both, is known as A B. Its components number is:

8 + 7 + 14 + 6 + 1 + 8 = 44

n(A∪B) = 44

Therefore, with the help of the given Venn diagram, the answer of n(A∪B) is 44 respectively.

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Answer:

b is equal to negative a and a is also equal to negative b

Step-by-step explanation:

Answer:

y = 2x

Step-by-step explanation:

The slope is 2 because it goes up 2 for every 1 across

It passes through the origin so there is other term

According to the given graph the correct option that justify it to follow horizontal asymptote concept is option A, C and D.

Define graph property:

In mathematics, a graph is a set of points, called vertices or nodes, that are connected by lines or curves, called edges or arcs. Graphs are used to represent mathematical relationships between objects, data, or concepts. They are a fundamental tool in many fields, including computer science, economics, engineering, social sciences, and more.

Graphs can be represented in a variety of ways, such as a drawing on a piece of paper or a computer screen, or as a mathematical abstraction. Graphs can be directed or undirected, weighted or unweighted, simple or multigraphs, and can have various structures, such as trees, cycles, or complete graphs. They are often used to model networks, such as transportation systems, social networks, or the internet.

What about asymptote?

In mathematics, an asymptote is a straight or curved line that a curve approaches but never touches. In other words, as the curve moves along the x and/or y axis, it gets closer and closer to the asymptote, but never intersects it. Asymptotes are often found in functions that have horizontal or vertical limits that approach infinity or negative infinity.

There are several types of asymptotes, including horizontal, vertical, and slant asymptotes. A horizontal asymptote is a line that the curve approaches as x tends to infinity or negative infinity. A vertical asymptote is a vertical line that the curve approaches as x approaches a certain value, but does not cross. A slant asymptote is a diagonal line that the curve approaches as x tends to infinity or negative infinity, and the degree of the polynomial in the numerator is one more than the degree of the polynomial in the denominator.

According to the given information:

According to the graph f(x) and g(x) both have a horizontal asymptote so, both graphs are exponential functions and they do not through(0,1)

so, both graphs have been shifted and flipped

Hence, option A, B and D are correct.

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Commitment to goals can be promoted in through:

Goal commitment is the degree of determination a person uses to achieve an accepted goal, and it is determined by two major factors: importance and self-efficacy. The reasons a person has for achieving a goal, including expectations of certain outcomes, are significant. Commitment helps you stick to your goals in both good and bad times, when obstacles arise. Commitment is influenced by two factors: importance and

Goal commitment is generally defined as an individual's determination to devote time and effort to achieving a goal.

Goal commitment is the degree of determination a person uses to achieve an accepted goal, and it is determined by two major factors: importance and self-efficacy. The reasons a person has for achieving a goal, including expectations of certain.

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We know that two vertical angles are equal.

\(108° \: = \: (12x \: + \: 24)°\)

\( - 12x \: = \: 24 \: - \: 108\)

\( - 12x \: = \: -84\)

\( \boxed{ \bold{x \: = \: 7°}}\)

We know that a complete angle measures 360°.

\(108° \: + \: 108° \: + \: z \: + \: z \: = \: 360°\)

\(216 \: + \: 2z \: = \: 360\)

\(2z \: = \: 360 \: - \: 216\)

\(2z \: = \: 144\)

\( \boxed{ \bold{z \: = \: 72°}}\)

Answer:

85 i thinkkkk

Step-by-step explanation:

Answer:

The function is exponential

Its equation is \(y = \frac{7}{3} \cdot(\frac{1}{3} )^x\)

Step-by-step explanation:

We can see that, as x increases by a constant y increases by a factor of \(\frac{1}{3}\)

So the table represents an exponential equation

The form of the equation is \(a\cdot(\frac{1}{3})^{x}\)

All we have to do is determine a

Take the entry for x = 0

At x = 0, the equation becomes y = \(a\cdot(\frac{1}{3}) ^ 0\)

Any number raised to the power 0 is 1

So at \(x = 0, y = a\cdot1 = a\)

But we know the y value at x = 0 is \(\frac{7}{3}\)

So \(a = \frac{7}{3}\)

The equation of the function is

\(y = \frac{7}{3} \cdot(\frac{1}{3} )^x\)  

We can verify by plugging in a few values for x into the above equation and seeing if the corresponding calculated values concur with the one in the table

For \(x = - 1, y = \frac{7}{3}\cdot (\frac{1}{3})^{-1} = \frac{7}{3}\cdot 3 = 7\)

You can try the other x values and see that computed and given y values concur

Answer:

1/7

Step-by-step explanation:

Given series :-

To find :-

From the Series , the common ratio will be ,

⇝ CR = -2/25 ÷ 1/5

⇝ CR = -2/25 × 5

⇝ CR = -2/5

Using formula of GP :-

⇝ S_∞ = a /1 - r , -1 < r < 1

⇝ S = 1/5 ÷ ( 1 - (-2/5))

⇝ S = 1/5 ÷ ( 1 +2/5)

⇝ S = 1/5 ÷ 5/7

⇝ S= 1/7

Answer:

459

Step-by-step explanation:

first we solve the area of the rectangle. the length of the rectangle is 22 and the width is 18. 22 times 18=396. next we need to solve the area of the triangle. 7 is the height of the triangle and 18 is the width. 7 times 18 divided by 2 is 63. Next we need to add up the area of the rectangle and the triangle

396+63=459

Using the t-distribution, it is found that since the p-value of the test is greater than the standard significance level of 0.05, the data refutes the manufacturer's claim.

At the null hypothesis, we test if there is not enough evidence that the mean is less than 10 minutes, that is:

\(H_0: \mu \geq 10\)

At the alternative hypothesis, we test is there is enough evidence that the mean is less than 10 minutes, that is:

\(H_1: \mu > 10\)

The test statistic is given by:

\(t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}\)

The parameters are:

The values of the parameters are given as follows:

\(\overline{x} = 10.4, \mu = 10, s = 1.6, n = 20\)

Hence the test statistic is:

\(t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}\)

\(t = \frac{10.4 - 10}{\frac{1.6}{\sqrt{20}}}\)

t = 1.12.

Using a t-distribution calculator, considering a left-tailed test, as we are testing if the mean is less than a value, with t = 1.12 and 20 - 1 = 19 df, the p-value is of 0.8617.

Since the p-value of the test is greater than the standard significance level of 0.05, the data refutes the manufacturer's claim.

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