draw a model and write 2 expression that are equivalent to the expression 3(n-1)

Answer:

Step-by-step explanation:

The equation is poorly written and I cannot unfortunately solve it.

Answer:

all done bud, I'm just here for the extra points :D

The value of x is 9.

The value of y is 5.

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

Two triangles in a composite triangle.

We see that,

m∠UST = m∠STR

This means,

x + 4 = 13

x = 13 - 4

x = 9

The sum of the angles in a triangle is 180 degrees.

One triangle is an equilateral triangle.

All three angles are equal.

This means,

The angle has to be 60°.

m∠UTR + m∠URT + m∠TUR = 180

3m = 180

m = 60

Now,

m∠URS = 180

m∠URT + m∠SRT = 180

60 + m∠SRT = 180

m∠SRT = 120

The isosceles triangle has two equal angles.

m∠RTS = m∠RST

m∠SRT + m∠RTS + m∠RST = 180

120 + 6y + 6y = 180

12y = 180 - 120

12y = 60

y = 5

Thus,

The value of x and y are 9 and 5.

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Answer:

m is the slope of the line

Step-by-step explanation:

Equation of a line

The equation of a line can be written in the form:

y = mx+b

Where m is the slope of the line and b is the y-intercept. Both parameters define the behavior of the line in terms of it's increasing/decreasing trend, and where it crosses the y-axis.

As an example, let's consider the line

y =3x-8

Here, the slope is 3 and the y-intercept. It means the line is increasing from left to right and the point where it crossed the y-axis is (0,-8).

m is the slope of the line

Answer:

-9/22

Step-by-step explanation:

−6/11 x 3/4 = -18/44 = -9/22

Given:

The function is

\(f(x)=-\dfrac{1}{2}\sqrt{x+3},x\geq -3\)

To find:

The inverse of the given function.

Solution:

We have,

\(f(x)=-\dfrac{1}{2}\sqrt{x+3}\)

Put f(x)=y.

\(y=-\dfrac{1}{2}\sqrt{x+3}\)

Interchange x and y.

\(x=-\dfrac{1}{2}\sqrt{y+3}\)

Isolate the variable y.

\(-2x=\sqrt{y+3}\)

\((-2x)^2=y+3\)

\(4x^2-3=y\)

\(y=4x^2-3\)

Putting \(y=f^{-1}(x)\), we get

\(f^{-1}(x)=4x^2-3\)

For \(x\geq -3\),

\(x+3\geq 0\)

\(\sqrt{x+3}\geq 0\)

\(-\dfrac{1}{2}\sqrt{x+3}\leq 0\)

\(f(x)\leq 0\)

It means for function \(f(x)\leq 0\) and for inverse function \(x\leq 0\) because the range of the function is the domain of inverse function.

Therefore, \(f^{-1}(x)=4x^2-3\) for \(x\leq 0\).

The relation that can not be supported by the evidence in the image is option B

Corresponding angles are those that are located on the same side of the transversal and in identical relative positions to the parallel lines. Angles that correspond to one another have the same measure.

Alternate interior angles are those that are located on the transverse and within the area between the parallel lines, respectively. Congruent alternate interior angles exist.

Alternate external angles are those that are outside of the space between the parallel lines and on the opposing sides of the transversal. Congruent external angles exist between the two.

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a) On a coordinate plane, points are at (1, 48.1), (2, 50.9), (3, 62.4), (4, 67), (5, 76.5), (6, 83.9), (7, 86.8), (8, 88.1), (9, 79.2), (10, 69.9), (11, 59.5), (12, 49.6)  best represents the data.

This is because the data represents a set of paired values, with the months as the independent variable (x) and the average maximum monthly temperature as the dependent variable (y). A scatter plot is the appropriate graph for displaying this type of data.

Option a shows the correct placement of the data points on a scatter plot, with the x-axis representing the months and the y-axis representing the average maximum monthly temperature. The points are clearly organized in a sequence from January to December, with an upward trend in temperature from the winter months to the summer months, followed by a gradual decrease in temperature in the fall and winter months.

Option b has the correct range of temperatures, but the points are not arranged in a logical sequence and are scattered randomly across the graph. Option c also has a similar issue with random placement of points and does not reflect the actual values in the data set. Option d only has three points and does not represent the complete data set.

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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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1. selection of index number: during the construction of index number it is to be kept in mind that the selection of the index number should be correct accordingly.

2. selection of formula: while the construction of index numbers it is compulsory to select the correct formula for the given question.

3. selection of price: selection of prices should be done accordingly while constructing the index numbers.`

construction of index number is also available in two parts:

1. simple

2. weighted

1. simple: the simple method is classified into simple aggregative and simple relative.

2. weighted: the weighted method is classified into a weighted aggregative and weighted average.

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Answer:

96.25%

Step-by-step explanation:

The empirical rule regarding mean and standard deviation is that

Therefore between mean and +2 standard deviation or between mean and -2 standard deviation you will find  approximately 95/2 = 47.5% of the values

Between mean and ± 3 standard deviations you will find approximately 97.5/2 = 48.75% of the values

Therefore between 2 standard deviations above and 3 standard deviations below you will find approximately 47.5 + 48.75 = 96.25% of values

Answer:

60 miles

Step-by-step explanation:

Since 1 inch on the map equals 20 miles, you just have to multiply 3 by 20.

3x20=60

We will get y = -7x + 6  in graph y-intercept 6 and slope-7.

The equation of the line with a y-intercept of 6 and a slope of -7 can be written in slope-intercept form as:

y = mx + b

where m is the slope and b is the y-intercept.

Substituting the given values, we get:

y = -7x + 6

So the equation of the line is y = -7x + 6.

slope -7 and y - intercept 6.

Slope intercept form: y = mx + b, m=slope, b = y-intercept

y = -7x + 6

Just plug in a value for x and solve for y

x     y=-7x+6

------------------

0           6

1          -1

If you plot these two points and draw a straight line through them,

that is the graph of the line.

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The calculated value of the probability of B is (c) 0.25

From the question, we have the following parameters that can be used in our computation:

P(A or B) = 0.3

P(A and B) = 0.2

P(A/B) =0.8

First, we have

P(A/B) = P(A and B)/P(B)

Substitute the known values in the above equation, so, we have the following representation

0.2/P(B) = 0.8

So, we have

P(B) = 0.2/0.8

Evaluate

P(B) = 0.25

Hence, the probability of B is 0.25

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Triangle ABC and ADE are similar triangles

Similar triangles have the same corresponding angle measures and proportional side lengths.

This means that for two triangles to be similar, the corresponding angles must be equal and the ratio of corresponding sides of similar triangles are equal.

It has been shown that angles in ABC and ADE are equal.

To show that the ratio of corresponding sides are equal

6/12 = 8/16 = 10/20

The ratios all give a value of 1/2

Therefore we can say that the triangles ABC and ADE are similar.

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Answer:

17.24

Step-by-step explanation:

find the difference between 29 and 34. Then divide by 29 and multiply by 100. 34-29=5/29=0.1724 multiply by 100 =17.24%

Reason:

The horizontal width spans from 8 to 20. This is a distance of 20-8 = 12 units.

The height is some unknown, which I'll call x. We multiply the width and height to get the area. This area must be 1 to represent 100%. You can think of it like a pie chart. This applies to any probability distribution.

area = base*height

1 = 12*x

x = 1/12

Therefore, the height of this rectangle must be 1/12 so that the area of this rectangle is 1.

Answer:

f'(x)= 2x - 14

Step-by-step explanation:

change f(x) to y   y = 1/2x + 7

switch x and y    x = 1/2y + 7

multiply everything by 2 to cancel the denominator 2x = y + 14

solve for y     2x - 14 = y

then change y to f'(x)   f'(x) = 2x - 14

Answer:

B    --   f'(x)= 2x - 14

Answer:

If f(-5) = 7, then the point P(-5, 7) will be on the graph of f

where -5 is the x-coordinate and 7 is the y-coordinate

Step-by-step explanation:

The perimeter of the given shape as represented in the task content is; 29 cm.

It follows from the task content that the perimeter of the given shape on the centimeter grid as required is to be determined.

Since each grid line has 1cm as it's length;

The perimeter of the shape is the sum of all side lengths of the shape;

Perimeter, P = 6+2+3+2+2+1+3+2+2+2+2+1

P = 29 cm

Hence, the perimeter of the shape is; 29 cm.

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The average rate of change for the distance driven from 0 seconds to 4 seconds is 36.9 meters per second and the average rate of change for the distance driven from 6 seconds to 9 seconds is 33.9 meters per second

The average rate of change for the distance driven from 0 seconds to 4 seconds

The average rate of change is calculated as:

Rate = [f(b) - f(a)]/[b - a]

Where

a and b are the bounds of the intervals

So, we have:

a = 0 and b = 4

This gives

Rate = [f(4) - f(0)]/[4 - 0]

Using the table of values, we have:

Rate = [147.6 - 0]/[4 - 0]

Evaluate

Rate = 36.9

Hence, the average rate of change for the distance driven from 0 seconds to 4 seconds is 36.9 meters per second

The average rate of change for the distance driven from 6 seconds to 9 seconds

The average rate of change is calculated as:

Rate = [f(b) - f(a)]/[b - a]

Where

a and b are the bounds of the intervals

So, we have:

a = 6 and b = 9

This gives

Rate = [f(9) - f(6)]/[9 - 6]

Using the table of values, we have:

Rate = [287.1 - 185.4]/[9 - 6]

Evaluate

Rate = 33.9

Hence, the average rate of change for the distance driven from 6 seconds to 9 seconds is 33.9 meters per second

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Answer:

a. lts diameter = 13.540550005146 cm

b. Its circumference​ = 42.538892421732 cm

Step-by-step explanation:

suppose A the area ; d the Diameter ; P the circumference and r the radius

A = πr²

P = d×r = 2πr

then

r² = A/π = 144÷π = 45.836623610466

then

→ r = √(45.836623610466) = 6.770275002573

d = 6.770275002573×2 = 13.540550005146

→ P = 13,.540550005146×π = 42.538892421732

Answer:

...... .................

Answer:

C

Step-by-step explanation:

If the graph of \(f(x) = 4e^{0.1x}\) is blue, then the graph of \(f(x) = 4(1+\frac{0.1}{0.5} )^{0.5x}\) is: C. red.

In Mathematics and Geometry, an exponential function can be modeled by using this mathematical equation:

\(f(x) = a(b)^x\)

Where:

For the rate of change of the blue exponential function \(f(x) = 4e^{0.1x}\), we have the following:

b = \(e^{0.1}\)

b = 1.11

For the rate of change of this exponential function \(f(x) = 4(1+\frac{0.1}{0.5} )^{0.5x}\), we have the following:

b = 1 + 0.1/0.5

b = 1.2

Therefore, this exponential function \(f(x) = 4(1+\frac{0.1}{0.5} )^{0.5x}\) is represented by the red line on the graph.

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To draw a conclusion, a statistical analysis with a significance level (alpha) of 0.02 can be applied to compare the results.treated samples consistently show lower shrinkage temperatures compared to the control samples

In this study, the aim is to prove that electrical stimulation improves meat tenderness. Connective tissue (collagen) from beef steaks was examined, as lower collagen shrinkage temperature indicates higher tenderness.

The beef carcasses were split, with one side subjected to electrical current and the other side untreated as a control. Steak samples were cut from each side and tested for tenderness by determining the collagen shrinkage temperature.

I, it suggests that electrical stimulation does improve meat tenderness.

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Answer:

  (b)  FG⊥HB and FG║DE

Step-by-step explanation:

You want to know two statements that correctly describe the diagram where HB crosses lines FG, DE, and AC.

Line HB is indicated as being perpendicular to lines FG and DE by the small square in the corner where the lines cross. It is true that ...

  FG⊥HB

Lines FG and DE are both perpendicular to line HB. LInes in a plane that are perpendicular to the same line are parallel to each other. It is true that ...

  FG║DE

Answer: The decimal form of a/b never repeats or terminates.

Step-by-step explanation:

Fractions like a/b are ratios, so rational numbers like a/b can not terminate.