Choose the correct transformation.

Answer:

length = 13 inches

Step-by-step explanation:

let the length be x

hence, the width = x-9

perimeter = 2(x+x-9) = 34

2(2x-9) = 34

4x- 18 = 34

4x = 52

x = 13

Answer:

a. Let's denote the width of the property as "w". According to the problem, the length of the property is three times the width, so we can represent the length as "3w".

To find the equation that can be used to solve for the length and width, we can use the formula for the perimeter of a rectangle:

Perimeter = 2(length + width)

Since we know the perimeter (5,280 feet), and we have expressions for the length and width, we can substitute these values into the formula and solve for the variables:

2(3w + w) = 5,280

2(4w) = 5,280

8w = 5,280

w = 660

Therefore, the width of the property is 660 feet, and the length is 3 times the width, or 1,980 feet.

b. To check that these values are correct, we can substitute them back into the formula for perimeter and make sure it equals 5,280:

2(1,980 + 660) = 5,280

This is true, so we can be confident that the width of the property is 660 feet and the length is 1,980 feet.

Answer:

20.48 is the radius of sphere

Step-by-step explanation:

V=(4 /3)πr3

Using the formula

r=(3V /4π)⅓

Solving for "r"

r=(3V 4π)⅓=(3·36000 /4·π)⅓≈20.48352

Answer:

Solution

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Correct option is A)

We first calculate slant height L of the pyramid with base s=10 cm and height 12 cm:

L 2 =H 2 +( 2s )

2

=12

2

+(

2

10

)

2

=12

2

+5

2

=144+25=169

⇒L=

169

=13

The perimeter of the base is P=4s, since it is a square, therefore,

P=4×10=40 cm

The general formula for the lateral surface area of a regular pyramid is LSA=

2

1

Pl where P represents the perimeter of the base and l is the slant height.

Since the perimeter of the pyramid is P=40 cm and the slant height is l=13 cm, therefore, the lateral surface area is:

LSA=

2

1

Pl=

2

1

×40×13=260 cm

2

Now, the area of the base B=s

2

with s=10 cm is:

B=s

2

=10

2

=100 cm

2

The general formula for the total surface area of a regular pyramid is TSA=

2

1

Pl+B where P represents the perimeter of the base, l is the slant height and B is the area of the base.

Since LSA=

2

1

Pl=260 cm

2

and area of the base is B=100 cm

2

, therefore, the total surface area is:

TSA=

2

1

Pl+B=260+100=360 cm

2

Hence, total surface area of the pyramid is 360 cm

2

.

Answer:

1/100pt is your answer

Step-by-step explanation:

i promise

Answer:

To find the equation of the tangent line at the point (1,-1), we need to find the derivative of the function y=2/x-3/x^2 first.

y = 2/x - 3/x^2

y' = -2/x^2 + 6/x^3

Now we can plug in x=1 to find the slope of the tangent line at (1,-1).

y'(1) = -2/1^2 + 6/1^3 = 4

So the slope of the tangent line is 4.

To find the equation of the tangent line, we can use the point-slope form:

y - y1 = m(x - x1)

where m is the slope and (x1,y1) is the point (1,-1).

Plugging in the values, we get:

y - (-1) = 4(x - 1)

Simplifying, we get:

y = 4x - 5

Therefore, the equation of the tangent line at (1,-1) is y=4x-5.

Step-by-step explanation:

the probability that a randomly selected passenger car gets more than 35 mpg is approximately 0.3665.

the probability that the average mpg of four randomly selected passenger cars is more than 35 mpg is approximately 0.087

the probability that all of the passenger cars get more than 35 mpg is approximately 0.015.

We need to find \(P(X > 35),\) where X is the mpg rating of a randomly selected passenger car.

The standard normal distribution and Table 1, we have:

\(z = (35 - 33.8) / 3.5 = 0.34\)

\(P(X > 35) = P(Z > 0.34) = 0.3665\)

\(P(\bar X > 35)\), were \(\bar X\) is the sample mean mpg rating of four randomly selected passenger cars.

The population standard deviation, we use the t-distribution with \(n-1\) degrees of freedom (were \(n = 4\)) and Table 1. We have:

\(t = (35 - 33.8) / (3.5 / \sqrt(4)) = 1.83\)

Using Table 1 with 3 degrees of freedom (\(n-1 = 4-1\)), we find:

\(P(T > 1.83) = 0.087\)

We need to find \(P(X1 > 35\) and \(X2 > 35\) and \(X3 > 35\) and \(X4 > 35\)), where X1, X2, X3, and X4 are the mpg ratings of four randomly selected passenger cars.

Since the mpg ratings of the four cars are independent and identically distributed, we have:

\(P(X1 > 35\)and\(X2 > 35\) and \(X3 > 35\) and \(X4 > 35\)) =\(P(X > 35)^4\)

From part (a), we know that\(P(X > 35) = 0.3665.\)

\(P(X1 > 35\)and \(X2 > 35\) and\(X3 > 35\) and \(X4 > 35) = 0.3665^4 \approx 0.015\)

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Based on the provided equation, no definitive conclusion can be drawn about the stability of the system without additional information or analysis.

To determine the stability of a system, further analysis is required. The given equation is a linear ordinary differential equation relating the derivatives of the output variable y and the input variable u. The coefficients in the equation, 6 and -7 for dy/dt and y, respectively, as well as 4 and -3 for du/dt and u, do not provide sufficient information to determine stability.

Stability analysis typically involves assessing the behavior of the system's response over time. Stability can be classified into several categories, including stable, unstable, critically damped, or marginally stable. However, in this case, the given equation does not provide the necessary information to make any definitive conclusion about the stability of the system.

To assess stability, one would typically examine the characteristic equation, eigenvalues, or transfer function associated with the system. Without such additional information or analysis, it is not possible to determine the stability of the system solely based on the given equation.

The provided equation does not provide enough information to draw a conclusion about the stability of the system. Further analysis using techniques like eigenvalue analysis or transfer function analysis would be necessary to determine the stability characteristics of the system.

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Answer:

QUESTION:

I need help on this pleaseee...

ANSWER:

2 pairs of pants = $18

4 pairs of pants = $36

6 pairs of pants = $54

1 pair of pants = $6

Step-by-step explanation:

Hope that this helps you out! :)          

If you have any questions please put them in the comment section below this answer.          

Have a great rest of your day/night!          

Please thank me on my profile if this answer has helped you.

Answer:

2 pairs are 18

4 pairs are 36

6 pairs are 48

1 pair is 6

Step-by-step explanation:

Answer:

720°, 2340°, 180°

Step-by-step explanation:

Look at the attached image of a regular hexagon.  I drew all possible lines from a vertex to other vertices (AC, AD, AE).  Drawing in all those diagonals splits the hexagon into 4 triangles, and adding up the measures of all the triangle angles would account for all the interior angles of the hexagon.

♦  Four triangles have an angle sum of 180° x 4 = 720° (180° in each triangle).

See attached image2 to see what happens in an octagon.  There are six triangles formed, so the total of all interior angle measures is 6 x 180° = 1080°.

What about a 15-sided regular polygon?  How many triangles would be formed by putting in all the diagonals coming from one vertex?  There will be 2 fewer triangles than the number of vertices, 13.

♦  The total of interior angle measures in a 15-gon is 13(180°) = 2340°

♦  A polygon with 3 sides is a single triangle; interior angle sum = 180°

Answer:112

Step-by-step explanation: 1/4 divided by 28/1 = 1/112

Answer:

112 and very light

Step-by-step explanation:

Answer: the water increases by 2 every hour

Step-by-step explanation:

Answer:2 inches per hour

Step-by-step explanation:

The x axis shows how many hours have passed and the y axis shows how many inches it is so on 1 hr it had 2 inches and on 2 hrs it had 4 inches

a) State the hypotheses.
The null hypothesis states that the average income of Bay Area households is equal to $90,000, whereas the alternative hypothesis states that the average income of Bay Area households is lower than $90,000. Therefore the hypotheses are:

H0: μ = $90,000
H1: μ < $90,000


b) Justification (Good sampling technique? Are the normality conditions met for the sampling distribution?)
The given problem is about the sample, which is random, so it is a good sampling technique. The sample size (n) = 50, which is greater than 30, so we can assume that the sample size is large enough. Since the sample size is greater than or equal to 30, we can use the Central Limit Theorem to assume that the sample data comes from a normal distribution.

c) What are the shape, center, and spread of the sampling distribution?
The sample size (n) = 50 is greater than 30, so we can use the Central Limit Theorem, which means the sampling distribution of the sample means will be approximately normal. The center of the sampling distribution is the mean of the population, which is $90,000, and the standard deviation is the population standard deviation divided by the square root of the sample size (n), which is $38,700/√50 = $5486. The shape is approximately normal.
d) What is the p-value? Show your work for partial credit.
α = 0.05 and the sample size (n) = 50, so the degrees of freedom are n-1 = 50-1 = 49. The test statistic is:
μ = $90,000 (population mean), s = $38,700 (sample standard deviation), and n = 50 (sample size)
t = (81500 - 90000) / (38700 / √50) = -2.39
The p-value is the area to the left of t = -2.39 with 49 degrees of freedom:
p-value = P(t < -2.39) = 0.01
e) Write the appropriate concluding sentence.
The p-value is less than the significance level (0.01 < 0.05), which means we can reject the null hypothesis. We can conclude at the 5% significance level that the average household income in the Bay Area is lower than $90,000.

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Answer:

Slope of the line that is parallel: 2

Slope of the line that is perpendicular: \(-\frac{1}{2}\)

Step-by-step explanation:

For the parallel line:

Rewrite your equation to slope-intercept form: y = mx + b

y = mx + b

2x - y = 1 <== subtract 2x to both sides

-2x     -2x

-y = -2x + 1 <== divide both sides by -1

/-1      /-1

y = 2x - 1

The slope of the line that is parallel to this line is 2.

For the perpendicular line:

*Perpendicular lines have negative reciprocals*

Steps:

1. Take your original slope (2)

2. Flip it (1/2)

3. Change the sign (-1/2)

For a slope of 2, the reciprocal would be: \(-\frac{1}{2}\)

Hope this helps!

Note that.

Slopes of parallel line are equal

Slopes of perpendicular lines are negative reciprocals

So

Compare to slope intercept form

Slope of the parallel line=2

Slope of the perpendicular line=-1/2

Answer:

b^3

Step-by-step explanation:

There are 3 b's = b^3

Answer:

The answer is A

Step-by-step explanation:

Answer:

D. im answering for the purpose of the first person getting brainliest

Step-by-step explanation:

Answer:

21 degrees

Step-by-step explanation:

Triangles have a total angle of 180 degrees.

This makes our equation:

3x+3+4x+135=180

Subtract 135 from both sides and combine like terms

7x + 3 = 45

Subtract 3 from both sides

7x = 42

Divide both sides by 7

x = 6

Plugging the number in:

3x + 3 =

3(6) + 3 =

21

Answer:

\((3,3)\)

Step-by-step explanation:

The solution to this graph is always where the two lines intersect.

The objects are chosen depending on shape, pattern and texture.  The chosen objects are arranged such a way that they also have aesthetic appeal and harmonic configuration.

When choosing items for your still life composition, think about whether their shape, texture, or pattern is more significant.

After selecting your items, the next step is to arrange them in an aesthetically acceptable and harmonic configuration.

Take your time positioning them and move around your composition to try other angles. A changed viewpoint frequently causes a significant compositional shift.

Try to arrange the objects so that some of them overlap to make it apparent which is in front of which.

Create links that guide the viewer's attention around the composition.

As you rearrange the items, seek for the pleasant arrangement.

Delete some items and add others.

Once you've found one that suits you, move around and try a few more.

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Answer:

x > -1

Step-by-step explanation:

3(x + 5) > 12

Distribute

3x + 15 > 12

Subtract 15 to both sides

3x > -3

Sivide both sides by 3

3x/3 > -3/3

x > -1

Hope this helps and pls do mark me brainliest if you can:)

In this situation, the forecaster could use regression analysis as the best statistical method to estimate the amount of damage that could occur on the local island.

Regression analysis can help identify the relationship between wind speed and damage, and can provide a quantitative estimate of the potential damage based on the wind speed. Additionally, the forecaster could also use probability analysis to estimate the likelihood of different levels of damage occurring based on different wind speed scenarios.

In this situation, the forecaster could use a regression analysis to estimate the potential damage on the local island based on wind speed. This statistical method allows her to examine the relationship between the two variables and make predictions accordingly.

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By definition, the x-coordinate of the terminal point is equal to cos t and the y-coordinate is equal to sin t. This allows us to easily find the values of sin t and cos t. To find tan t, we use the formula tan t = sin t / cos t, which we can substitute with our previously found values for sin t and cos t.

First need to understand what is meant by the terms "terminal point" and "unit circle". The unit circle is a circle with a radius of 1, centered at the origin of the coordinate plane. The terminal point is the point where the circle intersects with a line that starts at the origin and passes through an angle t measured in radians.
To find sin t and cos t, we need to look at the coordinates of the terminal point. Let's call the x-coordinate of the terminal point x' and the y-coordinate y'. By definition, x' = cos t and y' = sin t. Therefore, sin t = y' and cos t = x'.
To find tan t, we use the formula tan t = sin t / cos t. Substituting in our values for sin t and cos t, we get:
tan t = y' / x'
So, to summarize:
- sin t = y'
- cos t = x'
- tan t = y' / x'
In summary, we can use the unit circle to determine the values of sin t, cos t, and tan t for any angle t measured in radians. The terminal point on the unit circle is the point where the circle intersects with a line passing through the origin at angle t.

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The height of the box can be represented as a function of the width, h = 4/w², where the domain of the function is (0, +∞).

Let's assume the width of the rectangular box is represented by the variable 'w'. Given that the length of the box is twice the width, we can express the length as '2w'. The height of the box can be represented by the variable 'h'.

The volume of a rectangular box is given by the formula: V = lwh, where V represents the volume, l represents the length, w represents the width, and h represents the height.

We are given that the volume of the box is 8 ft³. Substituting the values into the formula, we have:

8 = (2w)(w)(h)

Simplifying, we get:

8 = 2w²h

Dividing both sides by 2w², we get:

4/w² = h

Therefore, the height of the box can be expressed as a function of the width, h = 4/w².

The domain of the height function is determined by the width. Since the width of a rectangular box cannot be zero or negative (as it represents a physical dimension), the domain of the height function is the set of positive real numbers, excluding zero. In interval notation, the domain can be expressed as (0, +∞).

In conclusion, the height of the box can be represented as a function of the width, h = 4/w², where the domain of the function is (0, +∞).

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Answer:

(0, 1)

Step-by-step explanation:

(x, y)

Left and Right movement deals with the x value

Up and Down movement deals with the y value

3 units left = -3

4 units up = +4

(x - 3, y + 4)

(3 - 3, -3 + 4)

(0, 1)

The image point of (3, -3) after a translation of \((-3, 4)\) is \((0,1)\).

Geometrically speaking, a translation is determined by following formula:

\(V'(x,y) = V(x,y) + T(x,y)\) (1)

Where:

If we know that \(V(x,y) = (3, -3)\) and \(T(x,y) = (-3, 4)\), then the coordinates of the resulting point are, respectively:

\(V'(x,y) = (3, -3) + (-3, 4)\)

\(V'(x,y) = (0, 1)\)

The image point of (3, -3) after a translation of \((-3, 4)\) is \((0,1)\). \(\blacksquare\)

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We are supposed to prove that the first player has a winning strategy for the game of Chomp if the initial board is two squares wide.

Let us assume that the board is of 2 x m size.

Then by using c we will prove that the first player has a winning strategy.

Base Case: If the board is 2 x 1, then the only square left is the bottom left square, so the second player will take it and win the game.

Inductive Hypothesis: Assume that for some positive integer k, whenever we have a board with 2 x m squares, where 1 ≤ m ≤ k, the first player has a winning strategy.

Inductive Step: Now we must prove that the first player has a winning strategy for a board of size 2 x k + 1.

The first move of the first player is to chomp the cookie in the bottom row at the far right. This leaves a board of size 2 x k.

By the inductive hypothesis, the first player has a winning strategy for this board. Therefore, the second player has to make the second move.

He can either chomp a cookie in the bottom row to the left of the chomped cookie or a cookie in the top row. If he chomps a cookie in the bottom row, the first player uses the same strategy as for a board of size 2 x k. If he chomps a cookie in the top row, the first player chomps the corresponding cookie in the bottom row, leaving a board of size 2 x k. By the inductive hypothesis, the first player has a winning strategy for this board.

Therefore, the first player has a winning strategy for a board of size 2 x k + 1 whenever he starts by chomping the cookie in the bottom row at the far right.

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(a) The interval on which f is increasing: (0, ∞)

The interval on which f is decreasing: (0, 1)

(b) Local minimum: At x = 1, f(x) has a local minimum value of -1.

There is no local maximum value.

(c) Inflection point: At x ≈ 0.293, f(x) has an inflection point.

The function f(x) = x^2 - x - ln(x) is a quadratic function combined with a logarithmic function.

To find the interval on which f is increasing, we need to determine where the derivative of f(x) is positive. Taking the derivative of f(x), we get f'(x) = 2x - 1 - 1/x. Setting f'(x) > 0, we solve the inequality 2x - 1 - 1/x > 0. Simplifying it further, we obtain x > 1. Therefore, the interval on which f is increasing is (0, ∞).

To find the interval on which f is decreasing, we need to determine where the derivative of f(x) is negative. Solving the inequality 2x - 1 - 1/x < 0, we get 0 < x < 1. Thus, the interval on which f is decreasing is (0, 1).

The local minimum is found by locating the critical point where f'(x) changes from negative to positive. In this case, it occurs at x = 1. Evaluating f(1), we find that the local minimum value is -1.

There is no local maximum in this function since the derivative does not change from positive to negative.

The inflection point is the point where the concavity of the function changes. To find it, we need to determine where the second derivative of f(x) changes sign. Taking the second derivative, we get f''(x) = 2 + 1/x^2. Setting f''(x) = 0, we find x = 0. Taking the sign of f''(x) for values less than and greater than x = 0, we observe that the concavity changes at x ≈ 0.293. Therefore, this is the inflection point of the function.

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The correct answer is (c) - the code inserts node t immediately after node x in the linked list. The original node x is still present in the linked list and its next node now points to t.

The effect of the given code fragment depends on the position of node x in the linked list. The code first sets the next node of t (i.e., t.next) to be the same as the next node of x (i.e., x.next). This means that the node after t in the linked list is now the same as the node after x.

Then, the code sets the next node of x to be t. This means that t is now inserted immediately after x in the linked list.

So, the correct answer is (c) - the code inserts node t immediately after node x in the linked list. The original node x is still present in the linked list and its next node now points to t.

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ANSWER. My answer might be wrong also.