Given U={1,2,3,4,5, A={1,3,5), and B={1,2,3). Find the following: 1. AnB 2. (A + B)' 3. A' B'

Answer:

6 5/6

Step-by-step explanation:

diameter is radius multiplied by 2

* means multiplied by

3 5/12 = 41/12

41/12 * 2 = 82/12 = 6 5/6

Answer: 6 5/12

Step-by-step explanation: i just took the k12 test and this is the corret answer

Answer:

x=4 + y/7

y= -28 + 7x

Step-by-step explanation:

The population in 15 years will be 665257 (approx).

To find the population, the formula for compound interest is used:

A = p( 1 + r/n)^nt

where,

P = the principal balance

r = the interest rate

n = the number of times interest is compounded per time period.

t = the number of time periods.

Given,

P = 320,000

r = 5% => 5/100 => 0.05

n = 1

t = 15

Substituting the values,

A = 320000 ( 1 + 0.05/1 )^15

A = 320000*2.078

A = 665257.0174

A = 665257

Therefore, the population is 665257 (approx).

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An equation for the ellipse that satisfies the given conditions is  \(\frac{x^2}{25}+\frac{(y-5)^2}{21}=1\)

For given question,

We need to find an equation of ellipse having foci (0, 3), (0, 7), vertices (0, 0), (0, 10)

The x -coordinates of the vertices and foci are the same, so the major axis is parallel to the y -axis.

Thus, the equation of the ellipse will have the form

\(\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1\)

First, we identify the center,  (h, k) . 

The center is halfway between the vertices, (0, 0), (0, 10)

 Applying the midpoint formula, we have:

\(\Rightarrow (h,k)=(\frac{0+0}{2} ,\frac{0+10}{2} )\\\\\Rightarrow (h,k)=(0,5)\)

Next, we find  a² . 

The length of the major axis,  2a , is bounded by the vertices.

We solve for  'a'  by finding the distance between the y-coordinates of the vertices.

⇒ 2a = 10 - 0

⇒ 2a = 10

⇒ a = 5

⇒ a² = 25

Now we find  c² . 

The foci are given by  (h, k ± c)

So,  (h, k - c) = (0, 3) and  (h, k + c) = (0, 7)

k - c = 3

k + c = 7

After solving above system of equations we have,

c = 2 and k = 5

So, c² = 4

Next, we solve for  b²  using the equation  c² = a² - b²

⇒ 4 = 25 - b²

⇒ b² = 25 - 4

⇒ b² = 21

Now, we substitute the values found for  h, k, a², and  b²  into the standard form equation for an ellipse:

\(\Rightarrow \frac{(x-0)^2}{25}+\frac{(y-5)^2}{21}=1\\\\\Rightarrow \frac{x^2}{25}+\frac{(y-5)^2}{21}=1\)

Therefore, an equation for the ellipse that satisfies the given conditions is  \(\frac{x^2}{25}+\frac{(y-5)^2}{21}=1\)

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The right triangle, like the other triangles, has three sides, three vertices, and three angles. The difference between the other triangles and the right triangle is that the right triangle has a 90  angle.

To find missing angles and sides and round to the nearest tenth, you can use different methods depending on the given information and the type of triangle or shape involved.

Some common methods include:
Trigonometric ratios (sine, cosine, tangent) for right triangles.
Angle sum property or exterior angle property for triangles.
Pythagorean theorem for right triangles.
Law of cosines and law of sines for non-right triangles.
To help find the missing angles and sides of a triangle, you need certain information about the triangle, such as known angle and side measurements, or information about the properties of the triangle.

Without this information, no concrete calculations can be made.

Provide the necessary information or describe the problem in more detail and we will help you find the missing corners and sides of the triangle and round it to tenths.

Remember to always check if any additional information is given, such as side lengths or angles ' 7 and to apply the appropriate formula or property to find the missing value.

Round your answer to the nearest tenth as specified.

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Answer:

es

Step-by-step explanation:

Answer:

A. 14,406. it runs by a -7 sequence, so D would be the 6th in the sequence.

Step-by-step explanation:

Answer: Y is equal to 9

Step-by-step explanation:

2(4) + 1 = 9

y = 9

Answer: 9

Step-by-step explanation:

You replace x in the equation with what was given to you, in this case 4.

It will end up as such:

y = 2 x 4 + 1

y = 8 + 1

y = 9

Answer:

Let us arrange this data in ascending order.

2, 15, 16, 29, 31, 40.

x has to be in the middle if it is the median.

So it becomes 2, 15, 16, x, 29, 31, 40.

There are seven numbers. The median is the 4th one.

The median is given as 21.

So x = 21.

HOPE IT HELPS YOU, PLS MARK IT AS THE BRAINLIEST :D

The data value that corresponds to the 46th percentile is 10.

To find the data value that corresponds to the 46th percentile, we need to arrange the given data in ascending order and then identify the value at the desired percentile.

Arranging the data in ascending order:

7, 12, 14, 16, 19, 19, 19, 25, 25, 27, 28, 28, 34, 37, 38, 40, 53, 69, 92, 115, 200

Since we have 21 data values, the 46th percentile corresponds to the (46/100) * 21 = 9.66th value.

To find the corresponding data value, we round up the decimal value to the nearest whole number, which is 10.

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Answer:

Daria bought 11 refills of lemonade last month

Step-by-step explanation:

The equation is:

y = 2x + 9

The cup costs 9 dollars and is 2 dollars per refill

She spent 31 dollars so:

31 = 2x +9

Now we can solve!

2x + 9 = 31

Subtract 9 from both sides!

2x = 22

Divide both sides by 2!

x = 11

We know x is the amount of refills so,

Daria bought 11 refills of lemonade last month!

Answer:

1

Step-by-step explanation:

It's just 1

Answer:

Step 1: Lets say 'x' is the total wage. Then we subtract 1/4 from the total wages.

=> 4x/4 - x/4

=> 3x/4 = Remaining Wages Left.

Step 2: Subtract 20% from 3x/4.

3x/4 - x/5 = Remaining Wages Left.                                 [20% = 20x/100 = x/5]

=> 11x/20 = Remaining Wages Left.

Step 3: Subtract 0.15x from his remaining wages left.

=> 11x/20 - 3x/20 = Remaining Wages Left.                     [0.15 = 15/100 = 3/20]

=> 8x/20 = Remaining Wages Left.

Step 4: Simplify

8x/20 = 2x/5 = 0.40x

=> Simon has saved 2x/5 of the wages.

Please give me brainliest :)

Answer:

Step-by-step explanation:

The total is 100% or 1.

Spent:

Left:

The rate of change is $55 per hour. The means that the hourly rate of the designer is $55 per hour

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the slope of the line and m is the y intercept.

Let y represent the total cost of hiring for x hours. Hence:

\(Slope = \frac{y_2-y_1}{x_2-x_1} =\frac{950-125}{15-0} =55\)

The rate of change is $55 per hour. The means that the hourly rate of the designer is $55 per hour

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To find the height of the bird feeder, we can use the formula for the volume of a cylinder, which is V = πr^2h, where V is the volume, r is the radius, and h is the height of the cylinder. In this case, the volume is given as 100 cubic inches, and the radius is 2 inches.

Substituting the known values into the formula, we have:

100 = 3.14 × 2^2 × h

Simplifying the equation:

100 = 3.14 × 4 × h

100 = 12.56h

To solve for h, we divide both sides of the equation by 12.56:

h = 100 / 12.56

h ≈ 7.97

Therefore, the approximate height of the bird feeder is approximately 7.97 inches.

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Answer:

3, -8

(x is equal to 3 and y is equal to -8)

Step-by-step explanation:

The system:

{ 7x=-67-11y

{ 5x=-73-11y​

Finding a value for x:

7x=-67-11y -> x = \(-\frac{67}{7}\) - \(\frac{11y}{7}\)

Solving for y by plugging in our x:

[Equation] 5x = -73 -11y​

[Plug-in] 5(\(-\frac{67}{7}\) - \(\frac{11y}{7}\)) = -73 -11y​

[Distribute the 5] \(-\frac{335}{7}\) - \(\frac{55y}{7}\) = -73 -11y​

[Multiply by 7] 7 (\(-\frac{335}{7}\) - \(\frac{55y}{7}\)) = (-73 -11y​) 7

[Simplify] -335 - 55y = -511 - 77y

[Add 335 and 77y to both sides] 22y = -176

[Divide by 22] y = -8

Plug in our y to solve for x:

5x = -73 -11y​

5x = -73 -11(-8)

5x = -73 + 88

5x = 15

x = 3

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

P < Q because 7.8 < 19.3

The density of the object does not change regardless of how much material the object has. A 100 gram block of iron will have the same density as a 200 gram block of iron. The density of iron will stay at 7.8 grams per cm^3. The same idea applies to the silver.

The density measures how packed a material is. The larger the density, the more molecules occupy the certain amount of volume.

A similar term is "population density" which measures how many people live in a certain area. It measures how packed a place is. A rural town will have low population density, while a big city has a high population density.

Answer:

The number Zayn is thinking of is 2600.

Step-by-step explanation:

\(P = \frac{v}{V} \times 100\)

Where:
- v is a portion of the total value

- V is the total value

- P is the percentage v takes of V.

We're given that P = 3.5%, and v = 91.

We'll substitute the values into the formula and solve for V.

\(3.5 = \frac{91}{V} \times 100\\\to0.035 = \frac{91}V\\\to0.035V = 91\\\to V = \frac{91}{0.035}\\\\\to V = 2600\)

Answer:

Hence, The time of a commercial plane ride at this rate is:

280 Minutes or (4 hours and 40 minutes)

First Step-by-step explanation:

Let the speed of the commercial Airplane be

X km/min

The speed of the jet plane is

2x km/min

Multiply both the left & Right sides of the equation by 2x:

1730 / x - 1730 / (2x) = 140

1730 * 2 - 1730 = 140 * 2x

1730 = 280x

x = 1730 / 280

x = 173 / 28

1730 / 173 /28 = 280 (min)

Hence, the time of a commercial plane ride at this rate is:

280 (minutes).

Second  Step by Step explanation:

Make a plan:

x km/h.  

2x km/h.

time = distance/speed

Solve the problem:

x km/h

2x km/h

1730/2x - 1730/x = 7/3 (using the ground truth)

x = 346 km/h (using the ground truth)

1730/2 * 346 = 5/2 hours (using the ground truth)

1730/346 + 140/60 - 5/2 = 5 hours

The time of a commercial plane ride on this route is Five (5) hours.

Hope this helps!

Answer:

10

Step-by-step explanation:

according to the formula of y = P(1-r)^x, P is the initial value, and in this case it looks like it is 10 :)

To find dz/dt using the chain rule, we need to calculate the derivatives of z with respect to x and y separately, and then multiply them by the derivatives of x and y with respect to t.

Given:

z =  \(cosh^{2} (xy)\)

x = (1/2)t

y = \(e^{t}\)

Let's start by finding the partial derivatives of z with respect to x and y:

∂z/∂x = \(2cosh(xy) * sinh(xy) * y\)  (using the chain rule)

∂z/∂y = \(2cosh(xy) *sinh(xy)*x\)    (using the chain rule)

Next, let's find the derivatives of x and y with respect to t:

dx/dt = 1/2

dy/dt = \(e^{t}\)

Finally, we can use the chain rule to find dz/dt:

dz/dt = (∂z/∂x)(dx/dt) + (∂z/∂y)(dy/dt)

      = \(2cosh(xy) *sinh(xy)*y*(1/2) + 2cosh(xy)*sinh(xy)*x*e^{t}\)

Now, substitute the given expressions for x and y:

\(dz/dt = 2cosh((1/2)t*e^{t} * sinh((1/2)t*e^{t} *(1/2)* + 2cosh((1/2)t*e^{t} *sinh((1/2)t*e^{t} *((1/2)t)\)

Simplifying further, we have:

\(dz/dt = cosh((1/2)t*e^{t} *sinh((1/2)t*e^{t})* e^{t} + cosh((1/2)t* e^{t}*sinh((1/2)t*e^{t}* ((1/2)t)\)

This is the expression for dz/dt using the chain rule with the given values of x and y.

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Answer:

\( {2x}^{2} + 3x + 5\)

Step-by-step explanation:

.........

Answer:

The third option.

Step-by-step explanation:

\((\frac{4xy^3}{x^2})^2\\\\=(\frac{4y^3}{x})^2\\\\=\frac{16y^6}{x^2}\)

Hence the 3rd option.

Answer:

Step-by-step explanation:

mean=sum of observations/number of observation

∴the mean number of pages she read=9+8+12+6+10/5

                                                               =45/5

                                                                 =9

                                      therefore she read 9 pages a day

The rectangular block has a perimeter of 10 units. The triangle's perimeter is 7.5 units.

The size of a region on a surface is measured in area. Surface area refers to the area of an open surface or the border of a three-dimensional object, whereas area of a plane region or plane area refers to the area of a form or planar lamina. The total space occupied by a flat (2-D) surface or the form of an item is defined as its area. Draw a square on a sheet of paper using a pencil. It is a two-dimensional figure. The area of the form on the paper is referred to as its Area.

Here,

area=6 units

length on scale=5-2

=3 units

3*w=6

w=2 units

perimeter=2*(3+2)

=10 units

length of side of triangle=2.5 units

perimeter=2.5+2.5+2.5

=7.5 units

The perimeter of rectangle block is 10 units. The perimeter of triangle is 7.5 units.

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Step-by-step explanation:

\(2 \pi4 ^{2} \times 7 + \pi \times 8 \times 7 \\ 219.94\)

In a class of statistics course, there are 50 students, of which 15 students scored b, 25 students scored c and 10 students scored f. If a student is chosen at random from the class, the probability of scoring not f is 80%.

Given that there are 50 students, out of which 15 scored b, 25 scored c and 10 scored f. Now, let's calculate the number of students who did not score f.

Number of students who scored f = 10

Number of students who did not score f = 50 - 10

= 40

Hence, the probability of scoring not f is:

Probability of scoring not f= Number of students who did not score f

Total number of students= 4049

Therefore,Probability of scoring not f=4080

=0.80

=80%

Hence, the probability of scoring not f is 80% which means out of 50 students, 10 scored f and the remaining 40 students did not score f. Therefore, the probability of choosing any student out of the class who did not score f is 80%.

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The monthly credit card payment would be $540.78, which is lower than the monthly payment on the bank loan.

The simple interest earned can be calculated by using this formula

A = P(1 + rt)

A is the future value.

P is the principal value.

r is the interest rate.

t is the time.

Now Substituting the values into the formula, we have,

A = 16,000[1 + (0.08 × 3)]

A = 16,000[1 + 0.24]

A = 16,000× 1.24

Future value, A = $19,840.

Following that, we will compute the monthly payment over a 36-month period as follows:

Monthly payment = Future value/Time

Monthly payment = 19,840/36

Monthly payment = $551.11

Similarly, we will compute the credit card's compound interest:

A = 16000[1 + (0.15/12)]⁽¹² ˣ ⁷⁾

A = 16000[1 + 0.025]⁸⁴

A = 16000× 1.025⁸⁴

A = 9000 × 3.49258954

Future value, A = $45425.80

Following that, we will compute the monthly payment over an 84-month period as follows;

Monthly payment = Future value/Time

Monthly payment = 45425.80/84

Monthly payment = $540.78.

Thus, the monthly credit card payment would be $540.78, which is lower than the monthly payment on the bank loan.

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Population, Statistic, sample, Variable, data, parameter are the correct matching vocabulary words.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

The correct matching of the vocabulary words and the examples given of the web administrator's process are:

Population - All the days that the website has been in existence.

Statistic - The average number of visitors per day for the 42 days that the administrator tracked.

Sample - The 42 randomly selected days that the administrator tracked.

Variable - The number of visitors that the website receives on a given day.

Data - The list of visitor counts for the 42 days that were tracked.

Parameter - The average number of visitors per day that have come to the website since it was created.

Hence, Population, Statistic, sample, Variable, data, parameter are the correct matching vocabulary words.

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