Ben bought a computer on sale. The original price was $800 and he got it for $600. What was the percent of discount?

a) Since E is closed, its complement F\ E is contained in F, so the intersection of {U_i1, U_i2, ..., U_in} with E is still a finite subcover of E. Thus, E is compact.

b) The union of all these finite subcovers is a finite subcover of {U_i} that covers K, showing that K is compact.

(a) To show that E is compact, we need to show that any open cover of E has a finite subcover. Let {U_i} be an open cover of E. Since E is closed in F, its complement F\E is open in F. Thus, {U_i} and F\ E together form an open cover of F. Since F is compact, there exists a finite subcover {U_i1, U_i2, ..., U_in, F\ E}. Since E is closed, its complement F\ E is contained in F, so the intersection of {U_i1, U_i2, ..., U_in} with E is still a finite subcover of E. Thus, E is compact.

(b) Let K1, K2, ..., Kn be a finite collection of compact subsets of S. Let {U_i} be an open cover of their union K= K1∪ K2 ∪ ... ∪ Kn. Then each Ki is contained in K, so {U_i} is also an open cover of each Ki. Since each Ki is compact, there exists a finite subcover {U_i1, U_i2, ..., U_ik_i} of {U_i} for each Ki. Thus, we have a finite collection of sets {U_i1, U_i2, ..., U_ik_1}, {U_i1, U_i2, ..., U_ik_2}, ..., {U_i1, U_i2, ..., U_ik_n} that covers K1, K2, ..., Kn respectively. The union of all these finite subcovers is a finite subcover of {U_i} that covers K, showing that K is compact.

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The compound inequality for the graph is x ≥ 4 or x < 7

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. We have different inequality signs e.g. greater than (>), less than(<), less than or equal to (≤) and greater than or equal to (≥).

From the graph, the values range from 4 to 7. Thus, we have:

x ≥ 4 or x < 7

Note: We have "≥" because the circle for "4" is shaded

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Answer:

174.5m

Step-by-step explanation:

So we have to break the shapes down to triangle, rectangle and the small rectangle

Area of rectangle=WxL

Area of triangle= (BxH)÷2

triangle=

(23x11)÷2

=253÷2

=126.5m

rectangle=

9x19

=28m

square#2(the small one)=

5x4

=20m

All:

20+28+126.5

=174.5m

Answer:

The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.

Step-by-step explanation:

yeah

Answer:

Pick two points on the line and determine their coordinates. Determine the difference in y-coordinates of these two points (rise). Determine the difference in x-coordinates for these two points (run). Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).

I don't know if you want an example?

Answer:

Step-by-step explanation:

9.7 = \(\frac{97}{10}\)

Count the number of places in the decimal number after the decimal point.

Here , there is only one place.

So, multiply and divide by 10. 9.7 *10/1*10 = 97/10

No, it is not true that every parallelogram is a special rectangle. This is because a rectangle is a special case of a parallelogram with all angles equal to 90 degrees. On the other hand, a parallelogram is a four-sided polygon with opposite sides parallel to each other, which can have any angle between adjacent sides.

The following are examples of a parallelogram and a rectangle. A parallelogram is a quadrilateral with two pairs of parallel sides. Opposite sides are equal and opposite angles are equal. The opposite angles of the parallelogram are congruent, and the consecutive angles are supplementary. Every rectangle is a parallelogram because a rectangle is a parallelogram with four right angles. However, not every parallelogram is a rectangle because a parallelogram can have acute or obtuse angles, and a rectangle cannot have an acute or obtuse angle. For instance, a square is also a special type of rectangle. In addition to the right angles, the four sides of a square are also equal. Below is an image of a rectangle. 1/2. The height (h) of the rectangle is perpendicular to the base (b), and all the angles are right angles. Therefore, all rectangles are parallelograms.

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Answer:

m<ACB=1/2 of m<AOB

so m<ACB=45⁰÷2

m<ACB=22.5⁰

I HOPE IT HELPS HAVE NICE DAY!

Answer:

m<ACB=22.5° [as inscribed angle is half to the central angle]

As the sales price is 65% off you find the 65% of the original cost and then substract it from the original cost:

Answer:

G (-2,8)

Step-by-step explanation:

(-8+x)/2 = -5

-8 + x = -10

x = -10 + 8

x = -2

(0+y)/2 = 4

y = 4 · 2

y = 8

The unknown arc length of the appendix cone with slant length of 13cm is approximately 56.5cm, and this measurement is justified by using the formula for arc length and the given information about the cone's slant length and angle x.

To find the unknown arc length of the appendix cone with slant length of 13cm, we can use the formula:

arc length = (angle/360) x 2πr

where angle is in degrees, r is the radius of the base, and 2πr is the circumference of the base.

We know the slant length of this cone is 13cm, and we can use the Pythagorean theorem to find the radius of the base:

\(r = √(slant length^2 - height^2) = √(13^2 - 9^2) = √120 ≈ 10.95cm\)

Now, we can substitute the values into the formula:

arc length = (x/360) x 2π(10.95) = (x/360) x 68.91

To find x, we can use the information from the other cone:

arc length = (x/360) x 2π(9) = (x/360) x 56.55

We are given that the arc length of this cone is 42cm, so we can set up the equation:

(x/360) x 56.55 = 42

Solving for x, we get:

x ≈ 269.2 degrees

Now we can substitute this value into the formula for the arc length of the first cone:

arc length = (x/360) x 2π(18) = (269.2/360) x 113.1 ≈ 84.8cm

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Answer:

8

-2

Step-by-step explanation:

Notice that figure 1 fits right over figure 2. There is no dilation (change of size) and no rotation. This is just a translation, moving from one place to another.

All you need to do is look at one point on the original figure (figure 1) and the corresponding point in the translated figure (figure 2).

For example, look at the lower right vertex of the original figure.

That point has coordinates (-3, 3).

Now go right and down until you reach the corresponding point in figure 2. That corresponding point is (5, 1).

To go from (-3, 3) to (5, 1), we move 8 units right along the x-axis and 2 units down along the y-axis.

The change in x is +8.

The change in y is -2.

Answer: (x + 8, y + -2)

Jenn's account has the greater simple interest rate

Where A is the final amount after investment, P is the initial amount, r is the rate of interest and t is the time periods.

For Lindsey:

Lindsey simple interest was 1.2% annually

For Jenn:

Jenn simple interest was 1.5% annually

Therefore Jenn's account has the highest simple interest rate.

^^^^^^^^^^^^^^^^^^^^

"EamonnAdams1992"

Answer:

She has a higher interest rate

Step-by-step explanation:

Lindsay’s interest is $3 for one year. Using the formula for interest, I = prt, Lindsey’s money is earning at a rate of 1.2%. Jenn has earned $3.75 for one year. Her money is earning at a rate of 1.5%, which is a higher interest rate.

Sample answer on edge ;)

No, the function y=2sin(2x) is not a solution of the differential equation y'''-8y=0.

To determine whether a function is a solution to the differential equation, we have to first find the derivatives of the function. The derivatives of y=2sin(2x) are y'=4cos(2x), y''=-8sin(2x) and y'''= -16cos(2x).

Next, we have to substitute the derivatives of the given function into the differential equation. When we substitute the derivatives of y=2sin(2x) into the differential equation, we get -16cos(2x) - 8×2sin(2x) = 0. This is not equal to 0, so y=2sin(2x) is not a solution to the differential equation y'''-8y=0.

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Answer:

90

Step-by-step explanation:

1 is in the hundreds place

9 is in the tens place

4 is in the ones place

6 is in the tenths

Answer:

40m

Step-by-step explanation:

Complete question

The equations h = 60 - 4m gives the height h (in inches) of the water in a tank m minutes after it starts to drain. How high is the water after 5 minutes.

To get the height of the water after 5minutes, we will find h at when m = 5

h = 60 -4 (5)

h = 60 - 20

h = 40m

Hence the water is 40m high after 5minutes

The point estimate that can be used to estimate the true mean population is 11.97 inches.

To find the point estimate that can be used to estimate the true population mean, we need to take the sample mean of the given observations. The formula for the sample mean is:

Mod(X)= (Σx) / n

where Mod(X)  is the sample mean, Σx is the sum of all the observations, and n is the size.

Using the given observations, we can calculate the sample mean as follows:

Mod(X) = (11.3 + 10.7 + 12.4 + 15.2 + 10.1 + 12.1 + 16.2 + 10.5 + 11.4 + 11.0 + 10.7 + 12.0) / 12

Mod(X) = 11.97

Therefore, the point estimate that can be used to estimate the true mean population is 11.97 inches.

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When a circle with the equation  (x - 1)² + (y - k)² = 50 travels through the location (2,3), the possible values of k are -4 and 10.

A circle is created in the plane by each point that is a specific distance from another point (center). Thus, it is a curve made up of points that are separated from one another by a defined distance in the plane. Additionally, it is rotationally symmetric about the center at every angle. Every pair of points in a circle's closed, two-dimensional plane are evenly spaced apart from the "center." A circular symmetry line is made by drawing a line through the circle. Additionally, it is rotationally symmetric about the center at every angle.

given

The equation of a circle is (x - 1)² + (y - k)² = 50

The equation of the circle passes through the point (2, 3) = (x, y).

Now,

(2 - 1)² + (3 - k)² = 50

1 + (3 - k)² = 50

(3 - k)² = 50 - 1

3 - k = √49

3 - k = ±7

Now,

3 - k = 7

3 - 7 = k

k = -4

3 - k = -7

3 + 7 = k

k = 10

When a circle with the equation  (x - 1)² + (y - k)² = 50 travels through the location (2,3), the possible values of k are -4 and 10.

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Answer:

16 meters

Step-by-step explanation:

Factors of 64: 1, 2, 4, 8, 16, 32, 64

Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

The greatest common factor of 64 and 48 is 16.

Answer:

Step-by-step explanation:

To find the length of the longest scale that can measure 64 m and 48 m exactly, we need to find the greatest common factor (GCF) of 64 and 48. The GCF is the largest number that divides both numbers without leaving a remainder. One way to find the GCF is to list the factors of both numbers and find the largest one that they have in common. For example:

Factors of 64: 1, 2, 4, 8, 16, 32, 64

Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

The largest factor that both numbers have in common is 16. Therefore, the GCF of 64 and 48 is 16.

This means that the longest scale that can measure both lengths exactly is 16 m. We can check this by dividing both lengths by 16 and seeing that there is no remainder:

1664​=4

1648​=3

Answer:

17

Step-by-step explanation:

Do you even know what a stem-leaf plot is?

The scores lower than 80% are:

70, 70, 71, 78, 62, 62, 63, 68, 69, 69, 57, 57, 58, 49, 49, 30, and 21 percent according to the data given. That is 17 scores less than 80 percent.

Answer:

d =2

Step-by-step explanation:

6d+8=14+3d

Subtract 3d from each side

6d-3d+8=14+3d-3d

3d +8 = 14

Subtract 8 from each side

3d +8-8 = 14-8

3d =6

Divide by 3

3d/3 = 6/3

d =2

False. In a static method of a class, you cannot use the "this" keyword to reference instance variables or instance methods of the same class.

A static method belongs to the class itself, not to any particular instance of the class, so it cannot access instance-specific information. Instead, you would need to use the class name followed by the variable name to access any static or instance variables within a static method of that same class. For example, if the class had an instance variable called "f" and a static method called "myStaticMethod", you could reference the instance variable from within the static method using "ClassName.f". It is important to note that if you attempt to reference an instance variable using "this.f" within a static method, you will receive a compilation error.

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Answer:

x=2

Step-by-step explanation:

2-6x=-10

-2     -2

____________-

-6x=-12

÷-6    ÷-6

______________

x=2

Hope this helps :D

Step-by-step explanation:

-4x=-10

divide both sides by -4

therefore the answer is 2.5

The discount rate is kept above the federal funds rate because the Fed prefers that banks borrow reserves from each other in order to maintain a stable and competitive interbank lending market.

The discount rate is kept above the federal funds rate because the Fed prefers that banks borrow reserves from each other. So, the correct answer is option C) above; banks borrow reserves from each other. This is because the Federal Reserve wants to encourage banks to borrow from each other in the open market, which promotes stability and liquidity within the banking system.

                                  This helps to ensure that banks have access to necessary funds and can lend to customers at reasonable rates. Therefore, option D is incorrect and the correct answer is A) below; banks borrow reserves from each other.
                          The discount rate is kept above the federal funds rate because the Fed prefers that banks borrow reserves from each other.

                            So, the correct answer is option C) above; banks borrow reserves from each other. This is because the Federal Reserve wants to encourage banks to borrow from each other in the open market, which promotes stability and liquidity within the banking system.

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Answer:

B. 80, -160

Step-by-step explanation:

The common ratio between these three numbers is -2.

-10 * -2 = 20

20 * - 2 = -40

-40 * -2 = 80

80 * -2 =  -160

The critical value used to test if there is evidence of an effect due to blocks at the 5% level of significance is 10.76.

The critical value can be determined using a statistical table.

The degrees of freedom for the blocks is 4 (df_b = 5 - 1 = 4) and for the treatments is 2 (df_t = 3 - 1 = 2).

The critical value for a 5% level of significance is 10.76.

This value can be found in the statistical table given in the textbook.

The critical value used to test if there is evidence of an effect due to blocks at the 5% level of significance can be calculated by using the F-test statistic.

The F-test is used to compare the variance between the blocks (SSBL) and the variance between the groups (SSB).

The F statistic is calculated by dividing the variance between the blocks (SSBL) by the variance between the groups (SSB).

In this case,

The F statistic is 3738/1048.93 = 3.56.

The critical value for a 5% level of significance can be found using a statistical table.

According to the table,

The critical value for an F statistic of 3.56 with four degrees of freedom in the numerator and four degrees of freedom in the denominator is 10.76

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Answer:

0.2 is the correct answer.

Answer:

-8.3 + 9.2 - 4.4 + 3.7

= -8.3 + 9.2 + (-4.4) + 3.7            {Additive inverse}

= -8.3 + (-4.4) + 9.2 + 3.7            {Commutative Property}

= [ -8.3 + (-4.4] + [ 9.2 + 3.7]       {Associative property}

=  - 12.7 + 12.9

= 0.2

answer is 0.2

The formula that you must used to determine the circumference of a circle is C = \(\pi\)d

First things first, substitute your diameter into the formula provided above,

C = \(\pi\)(3.14)(4)

Next you've substituted the diameter into the formula, you may calculate it.

C = \(\pi\)(3.14)(4) = 12.57

Finally, it has been determined that the answer to your question is 12.57

Answer:

5 inches

Step-by-step explanation:

The side of the square you cut has length x.

The total length of the cardboard is 25". Once you cut the two corners, the length of the base of the box is 25 - 2x.

The total width of the cardboard is 20". Once you cut the two corners, the width of the base of the box is 20 - 2x.

The height of the box is x.

The volume of the box is

V = LWH

V = (25 - 2x)(20 - 2x)x

V = (2x - 25)(2x - 20)x

The volume is 750 cu in.

(2x - 25)(2x - 20)x = 750

Now try each value in the choices for x, and see which one works.

Try x = 3

(2(3) - 25)(2(3) - 20)(3) = (-19)(-14)(3) = 798

798 is not equal to 750, so x = 3 does not work.

Try x = 4

(2(4) - 25)(2(4) - 20)(4) = (-17)(-12)(4) = 816

816 is not equal to 750, so x = 4 does not work.

Try x = 5

(2(5) - 25)(2(5) - 20)(5) = (-15)(-10)(5) = 750

750 is equal to 750, so x = 5 does not work.

Answer: 5