A company released a fast, light new mini-computer with a price of $700. After six months, sales started to slow down, and the company reduced the price by 15%. What was the new price of the mini-computer?

The statement that no  ε > 0 such that the e-neighborhood of x in rn is cont ained in u is true, and no such ε exists.

To show that there is no ε > 0 such that the ε-neighborhood of x in ℝ^2 is contained in the open ball B(o; 1), we can consider the point y = (0, ε/2) in ℝ^2.

Since y lies on the y-axis and has a positive y-coordinate, it is in the ε-neighborhood of x. However, y does not lie within the open ball B(o; 1) since its distance from the origin o is √(0^2 + (ε/2)^2) = ε/2, which is less than 1.

Therefore, for any ε > 0, there exists a point y in the ε-neighborhood of x that is not contained in the open ball B(o; 1). This implies that there is no ε > 0 such that the ε-neighborhood of x in ℝ^2 is entirely contained in B(o; 1).

Hence, we have shown that the statement is true, and no such ε exists.

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If the "fitted-line" has a slope of 8.42, then the correct interpretation is (c) On average, each 1 million dollar increase in salary is linked with 8.42 point increase in the "winning-percentage".

The "Slope" of the "fitted-line" represents the change in the response variable (winning percentage) for each unit increase in the predictor variable (salary of head coach, in millions of dollars).

In this case, the slope is 8.42, which means that on average, for every 1 million dollar increase in salary, there is an associated increase of 8.42 points in winning percentage.

Therefore, Option (c) is the correct interpretation of slope.

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The given question is incomplete, the complete question is

Abigail gathered data on different schools' winning percentages and the average yearly salary of their head coaches (in millions of dollars) in the years 2000-2011. She then created the following scatterplot and regression line.

The fitted line has a slope of 8.42.

What is the best interpretation of this slope?

(a) A school whose head coach has a salary of $0, would have a winning percentage of 8.42%,

(b) A school whose head coach has a salary of $0, would have a winning percentage of 40%,

(c) On average, each 1 million dollar increase in salary was associated with an 8.42 point increase in winning percentage,

(d) On average, each 1 point increase in winning percentage was associated with an 8.42 million dollar increase in salary.

Answer:

11 pieces

Step-by-step explanation:

So you take all the fractions and find the LCM which would be 30

1 / 5 and multiply the numerator and the denominator by 6 = 6 /30

1 / 3 and multiply the numerator and the denominator by 10 = 10 / 30

1 / 10 and multiply the numerator and the denominator by 3 = 3 / 30

then you add up the numerators which would be 19 and then you would do 3- pieces subtracted by 19 which is 11 pieces

Answer:

3 times greater

Step-by-step explanation:

To find out how many times greater the population of Chicago is than Austin, we can divide the population of Chicago by the population of Austin:

Population of Chicago / Population of Austin = 2,720,546 / 900,000

Simplifying the expression by dividing both the numerator and denominator by 100,000, we get:

Population of Chicago / Population of Austin = 27.20546 / 9

Dividing these numbers, we get:

Population of Chicago / Population of Austin = 3.022838

Therefore, the population of Chicago is about 3 times greater than the population of Austin.

Answer:

Expression

Step-by-step explanation:

There is no equal sign, so this is an expression which you would use the distributivve property to simplify.

\(\huge\fbox{Hi~there!}\)

3(4x-2)

This is an expression.

Here's the difference between an expression and an equation:

\(\bigstar\square\) An equation always has a "=" sign.

Example: 2x+4=8

\(\bigstar\star\) An expression doesn't have an "=" sign.

Example: 3(4x-2)

Here's the main difference between the two.

Hope you find it helpful.

Feel free to ask if you have any doubts.

\(\bf{-MistySparkles^**^*\)

The triangle when dilated by a scale factor of -1/2 the final image is at the coordinates:

A' = (6, 3)

B' = (6, 5.5)

C' = (5, 4)

The coordinates of the preimage are

(-3, 3), (-3, -2), and (-1, 1)

this is achieved using the formula

=  (k(x - a) + a, k(y - b) + b)

(a, b) is the center of dilation and k is the scale factor

the dilation is done as follows

preimage      dilation                                         image

(-3, 3)         (-0.5(-3 - 3) + 3, -0.5(3 - 3) + 3)        (6, 3)

(-3, -2)       (-0.5(-3 - 3) + 3, -0.5(-2 - 3) + 3)       (6, 5.5)

(-1, 1)          (-0.5(-1 - 3) + 3, -0.5(1 - 3) + 3)          (5, 4)

The final coordinates are (6, 3), (6, 5.5) and (5, 4)

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The function s(x) = -x² + 2x² - x is neither even nor odd

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

s(x) = -x² + 2x² - x

A function is said to be even if

f(x) = f(-x)

Using the above as a guide, we have the following:

s(-x) = -(-x)² + 2(-x)² + x

s(-x) = -x² + 2x² + x

A function is said to be odd if

-f(x) = f(-x)

So, we have

-s(x) = x² - 2x² + x

By comparing the functions:

s(x), -s(x)  and s(-x) are not equal

Hence, the function is neither even nor odd

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Answer:

a. TRUE.

Step-by-step explanation:

If the pair of opposite sides are both parallel and congruent, the other two sides will have to fit in between the two lines. That will make the other two sides both parallel and congruent, so the quadrilateral is a parallelogram.

Answer:

a. True

Step-by-step explanation:

A parallelogram is a quadrilateral. A parallelogram has two pairs of opposite parallel sides. The opposite parallel sides are equal in length and are congruent.

Write the sum as

\(\displaystyle S = \sum_{k=1}^n \frac1{k(k+2)}\)

Decompose the summand into partial fractions; that is, we look for constants a and b such that

\(\dfrac 1{k(k+2)} = \dfrac ak + \dfrac b{k+2}\)

Condense the right side into a single fraction and set the numerators on both sides equal to one another:

\(\dfrac1{k(k+2)} = \dfrac{a(k+2)}{k(k+2)} + \dfrac{bk}{k(k+2)} = \dfrac{a(k+2)+bk}{k(k+2)} \\\\ \implies 1 = a(k+2) + bk = (a+b)k + 2a\)

Then a + b = 0 and 2a = 1, so it follows that a = 1/2 and b = -1/2.

We then see that S is a telescoping sum (intermediate terms cancel and the overall sum collapses into a small number of terms):

\(\displaystyle S = \frac12 \sum_{k=1}^n \left(\frac1k - \frac1{k+2}\right) \\\\ S = \frac12 \left(1-\frac13 + \frac12 - \frac14 + \frac13 - \frac15 + \cdots + \frac1{n-2} - \frac1n + \frac1{n-1} - \frac1{n+1} + \frac1n - \frac1{n+2}\right) \\\\ S = \frac12 \left(1 + \frac12 - \frac1{n+1} - \frac1{n+2}\right) \\\\ \boxed{S = \frac{n(3n+5)}{4(n+1)(n+2)}}\)

Answer:

300

Step-by-step explanation:

YOU CAN TAKE WHATEVER THE ANSWER AND L x W x H to get that right answer

Answer:

1700 cm squared :)

Step-by-step explanation:

Answer: $1.38

Step-by-step explanation:

Let the value of the Reese be represented by x

Since the chip cost $1.60 more than the Reese, then the chip will be:

= x + 1.60

Since they cost $4.36 altogether, the value of the Reese will be:

x + (x + 1.60) = 4.36

2x + 1.60 = 4.36

2x = 4.36 - 1.60

2x = 2.76

x = 2.76/2

x = 1.38

The Reese cost $1.38

Answer:

1.36

Step-by-step explanation:

Answer:

4.5 hours

Step-by-step explanation:

distance = velocity × time

Answer:

AAS

ANGLE ANGLE SIDE.........

Based on flow velocity, 4.132 feet per second is the correct response to the question.

A vector number called velocity is used to explain how quickly an object changes its position with respect to time. Its definition is that it is the displacement (change in position) of an object per unit of time, which takes into account both the magnitude (speed) and direction of the object's motion.

We must determine the pipe's cross-sectional area. The following formula provides the cross-sectional area of a pipe:

A = πr²

where r is the pipe's radius.

Since the pipe's diameter is specified as 6 inches, the radius may be determined as being equal to half of the diameter:

r = 6/2 = 3 inches

To translate this to feet:

r = 3/12 = 0.25 feet

Now we may apply the cross-sectional area formula:

A = πr² = π(0.25)² = 0.196 ft²

Next, we can use the formula for velocity of flow:

v = Q/A

where A is the pipe's cross-sectional area and Q represents the flow rate.

Inputting the values provided yields:

v = 0.81/0.196 = 4.132 fps

As a result, the 6-inch-diameter pipe's flow velocity is roughly 4.132 feet per second.

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Answer:

Perimeter = 24 meters

step by step explanation

The critical numbers are 0 and 2, and the behavior of f at these numbers is At x = 0, the function has a local minimum.
At x = 2, the function has neither a local maximum nor a local minimum.

To find the critical numbers, we need to take the derivative of the function and set it equal to zero:
f'(x) = 6x^5(x-2)^5 + x^6(5)(x-2)^4(1) = 0
Simplifying this equation, we get:
x(x-2)^4(6x^4 + 5x^2(x-2)) = 0
The critical numbers are where the derivative equals zero, which are x = 0 and x = 2.
To describe the behavior of f at these critical numbers, we need to examine the sign of the derivative around each critical number. If the derivative is positive to the left and negative to the right of a critical number, then the function has a local maximum at that point. If the derivative is negative to the left and positive to the right, then the function has a local minimum at that point. If the derivative does not change sign at a critical number, then the function has neither a local maximum nor a local minimum at that point.
Let's examine each critical number:
At x = 0, we can see that the factor x is negative to the left of 0 and positive to the right of 0. The factor (x-2)^4 is positive everywhere. The factor 6x^4 + 5x^2(x-2) is positive at x = 0 (since the x^2 term is zero), which means the derivative is positive to the left and right of x = 0. Therefore, f has a local minimum at x = 0.
At x = 2, we can see that the factor (x-2)^4 is zero at x = 2, which means the derivative is zero at x = 2. To determine whether f has a local maximum or minimum at x = 2, we need to examine the sign of the derivative on either side of 2. If we plug in a value slightly less than 2 (e.g. x = 1.9), we get a positive derivative. If we plug in a value slightly greater than 2 (e.g. x = 2.1), we also get a positive derivative. Therefore, f has neither a local maximum nor a local minimum at x = 2.

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Answer:

20

Step-by-step explanation:

5 divided by 100 = 20

Answer:

20 miles per hour (20 mi/h)

Step-by-step explanation:

100 miles/5 hours = 20 miles/ 1 hour

(simplify the proportion)

Consider the following formula s=d/t, with

s being the speed, d as the distance, and t as the time.

this is because miles per hour is a measurement of speed.

In this case, 100 miles is the distance. 5 hours is the time, and we are solving for s.

s = 100/5, s = 20/1, s = 20 which is 20. So the rate or the speed is 20 miles per hour.

Anything multiplied or divided by 1 will remain the same.

Answer:

w = 21

Step-by-step explanation:

Given that,

                      game 1                     game 2

Points               12                            18

Shots                 14                            w

One proportion is : \(\dfrac{12}{14}=\dfrac{6}{7}\)

Other proportion is : \(\dfrac{18}{w}\)

So,

\(\dfrac{6}{7}=\dfrac{18}{w}\\\\w=\dfrac{7\times 18}{6}\\\\w=21\)

So, the value of w is equal to 21.

Answer:

34.64

Step-by-step explanation:

take tan value and solve the triangle

The vocabulary for the segment a is the apothem

The area of the polygon is about 41.6 yd²

The area of a regular figure is the extent of the planer space the figure occupies.

The length of each side of the regular polygon, s = 4 yd

The length of the segment a = 2·√3

The vocabulary term for the segment a drawn from from the center of the polygon and perpendicular to one of its sides is the apothem

Therefore, the vocabulary term for segment a is the apothem

The polygon is a hexagon.

The area of a hexagon is; A = ((3·√3)/2) × s²

Therefore, the area of the polygon is; A = ((3·√3)/2) × (4)² = 24·√3 ≈ 41.6

The area of the polygon is about 41.6 yd²

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The odds of choosing a red and a blue are 6/20 (4/20), or 3/5.

The balls in the bag are unaware of what was drawn the first time because the two choices are separate.

Six of the 20 pebbles in the bag are red. The odds of selecting a red are 6/20.

Four of the 20 pebbles in the bag are blue. Picking a blue one has a 4/20 chance.

Multiplying the odds of each event will yield the likelihood of two independent events.

The likelihood of selecting a red followed by a blue is 6/20 (4/20), or 3/5.

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The measure of a central angle of a regular polygon with 7 sides is approximately 51.4 degrees.

A polygon is a geometric object with two dimensions and a finite number of sides. A polygon's sides are made up of segments of straight lines that are joined end to end. As a result, a polygon's line segments are referred to as its sides or edges. Vertex or corners refer to the intersection of two line segments, where an angle is created.

To find the measure of a central angle of a regular polygon with 7 sides, we can use the formula:

central angle = 360 degrees/number of sides

Plugging in 7 for the number of sides, we get:

central angle = 360 degrees / 7
central angle ≈ 51.4 degrees

Therefore, the measure of a central angle of a regular polygon with 7 sides is approximately 51.4 degrees.

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Answer:

\(\boxed{D) ~(-6,-12)}\)

Step-by-step explanation:

\(\boxed{Rule}:-\)

\((x,y)\) → \((3x,3y)\)

\(p(-2,-4)\) → \((3x-2,-4*3)\)

\(\boxed{Answer: (-6,-12)}\)

\(-------------\)

hope it helps...

have a great day!!

Answer:

(-6, -12)

Step-by-step explanation:

In dilations, the scale factor is how many times larger the figure will be.

In other words, multiply the x and y-coordinates by the scale factor. In this case, the scale factor is 3.

(-2, -4) are the original coordinates.

-2 × 3 = -6

-4 × 3 = -12

Therefore, the new coordinates are (-6 -12).

Answer:

holais también tengo esa pregunta y no la e encontrado por ningún lado

Answer:

Здравствуйте, у меня тоже такой вопрос, нигде не нашел.

Step-by-step explanation:

Answer:

10 people

Step-by-step explanation:

we have 4 cakes each on is being cut into 5 slices.

4 × 5 = 20 slices of cake

we have 20 slices and we are giving each person 2 slices

20 ÷ 2 = 10

Answer: 20%

Explanation:

1. Turn it into a fraction (224/280)

2. Divide the numerator (224) by the denominator (280). (224÷280=0.8)

3. Subtract 1 by 0.8 (or 100% by 80%) that should give you the answer 0.2 (20%)

Checking work:

280x0.2=56

280-56=224

To start, let's sketch the graph of the curve y = x from x = 0 to x = 20. This is simply a diagonal line that passes through the points (0,0) and (20,20), as shown below:

```
   |
20  |    *
   |   *  
   |  *  
   | *    
   |*    
0  --------------
  0   10   20
```

Now, we want to revolve this curve around the x-axis to create a solid shape. Specifically, we want to create a paraboloid, which is a three-dimensional shape that looks like an upside-down bowl.

To find the volume of this paraboloid, we need to use calculus. The basic idea is to slice the solid into very thin disks, and then add up the volumes of all the disks to get the total volume.

To do this, we'll use the formula for the volume of a cylinder, which is:

V = πr^2h

where r is the radius of the cylinder and h is its height. In our case, each disk is a cylinder with radius r and height h, where:

- r is equal to the y-value of the curve (i.e. r = y = x), since the disk extends from the x-axis to the curve.
- h is the thickness of the disk, which is a very small change in x. We can call this dx.

So, the volume of each disk is:

dV = πr^2dx
  = πx^2dx

To find the total volume of the paraboloid, we need to add up the volumes of all the disks. This is done using an integral:

V = ∫(from x=0 to x=20) dV
 = ∫(from x=0 to x=20) πx^2dx

Evaluating this integral gives us:

V = π/3 * 20^3
 = 8000π/3

So the exact volume of the paraboloid is 8000π/3.

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Answer:

Can u take a better picture?

Answer:

should be
38 = 9x

Step-by-step explanation

multiply both sides with the least common denominator of the denominator of the fraction (the number below the line).
of the numbers 4 and 6, the least common denominator is 12.
so multiply both sides of the equation by 12.
you will have
12 * (4 - 3/4 x) = 12 * 5/6
simplify and you will get
48 - 9 x = 10

and you can even more simplify it to 9x = 38 or 38 = 9x