Let A = {1, 3, 5, 7}, B = {5, 6, 7, 8), C = {5, 8}, D = {2, 5, 8), and U={1, 2, 3, 4, 5, 6, 7, 8). Use the sets above to find B UD. A. BU D = {5, 8} B. BUD = {6, 7} C. BU D = {2,5, 6, 7, 8} D. BUD = {1, 3, 4} E. None of the above

The ship's horizontal distance from the lighthouse is 1930.59 feet. Using trigonometric ratio 'tanθ' the distance is calculated.

The trigonometric ratios are used for determining the lengths of the right-angled triangle. There are six basic trigonometric ratios. they are:

sin θ = opposite/hypotenuse

cos θ = adjacent/hypotenuse

tan θ = opposite/adjacent

sec θ = hypotenuse/adjacent

cosec θ = hypotenuse/opposite

cot θ = adjacent/opposite

It is given that,

The height of the bacon-light is 135 feet above the water

Consider the horizontal distance between the boat and the lighthouse = x feet

The angle of elevation is given as 4°

Constructing a model as below in the figure.

From the trigonometric ratios, we have

tan θ = 135/x

⇒ tan 4° = 135/x

⇒ x = 135/tan 4°

∴ x = 1930.589 feet ≅ 1930.59 feet (rounding to the nearest hundredth of a foot)

Therefore, the ship's horizontal distance from the lighthouse is 1930.59 feet.

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No, the velocity vector v(t) of a curve r(t) is not always perpendicular to the acceleration vector a(t). To understand this concept, we first need to understand what these vectors are.

The velocity vector v(t) of a curve r(t) represents the rate of change of position of an object with respect to time. In other words, it tells us how fast an object is moving and in what direction. It is a tangent vector to the curve r(t) at any given point on the curve.

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Answer:

y = 9x^2 + 12x - 12.

Step-by-step explanation:

y = (3x - 2)(3x + 6)

y = 9x^2 - 6x + 18x - 12

y = 9x^2 + 12x - 12.

Hope this helps!

It will take the bacteria population t = 16.30 to reach 15,000.

The exponential equation is given as \(\mathbf{\mathf{N_t = N_o e^{ct}}}\) is being used to make an estimate in the scientific process such as:

From the parameters given:
\(\mathbf{\mathf{N_t = N_o e^{ct}}}\)

where:

\(\mathbf{15000 = 50e ^{0.35 t}}\)

\(\mathbf{\dfrac{15000}{50} =e ^{0.35 t}}\)

\(\mathbf{300=e ^{0.35 t}}\)

\(\mathbf{In(300)=0.35t}\)

\(\mathbf{5.70378=0.35t}\)

\(\mathbf{t=\dfrac{5.70378}{0.35}}\)

t = 16.30

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The cost of each printer is $568.

To find the cost of each printer, we need to use a system of equations.

Let's call the cost of each printer "p" and the cost of each camera "c".

The first equation we can create is: 6p + 3c = 4773

The second equation we can create is: 4p + 6c = 5002

Now we can use the elimination method to solve for one of the variables.

Let's eliminate the "c" variable by multiplying the first equation by -2: -12p - 6c = -9546

And then add the two equations together: -8p = -4544

Now we can solve for "p" by dividing both sides by -8: p = 568

So the cost of each printer is $568.

To find the cost of each camera, we can plug the value of "p" back into one of the original equations and solve for "c":

6(568) + 3c = 4773

3408 + 3c = 4773

3c = 1365

c = 455

So the cost of each camera is $455.

Therefore, the cost of each printer is $568 and the cost of each camera is $455.

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Answer:

-6m+12=30

-6m=18

m=-3

Step-by-step explanation:

Answer:

m = -3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

-6(m - 2) = 30

Step 2: Solve for m

Answer:

The converse is true

Step-by-step explanation:

The converse of a statement is obtained by interchanging the conclusion for the hypothesis

The given statement is presented as follows;

If a pair of angles is linear, then the angles are supplementary

Therefore, the converse statement is;

If a pair of angles are supplementary, then the angles are a linear pair

A linear pair of angles angles are the adjacent angles formed by the intersection of two lines

Supplementary angles are two angles that sum up to 180° such that the angles sum is that of the angles forming a straight line

Therefore, the converse statement, 'If a pair of angles are supplementary, then the angles are a linear pair', is true

Answer:

10 dim 10 nickel and 10 quarter

Step-by-step explanation:

10 dim=100

10 nickel=50

10 quarter=250

Answer:

44.8

Step-by-step explanation:

Take the second number and subtract the first number

44.4 - (-.4)

Subtracting a negative is like adding

44.4 +.4

44.8

Answer:

\(D.44.8\)

Step-by-step explanation:

The difference between two numbers can be obtained by subtracting the smaller number from the bigger number.

- 0.4 is the smaller number, and 44.4 is the larger number. Therefore, the difference between the two is 44.4 - (- 0.4).

Answer:  A

Step-by-step explanation:

When multiplying: Numbers multiply with numbers and for the x's, add the exponents

If there is no exponent, you can assume an imaginary 1 is the exponent

2x⁴ (3x³ − x² + 4x)

= 6x⁷ -2x⁶ + 8x⁵

Answer:

A. \(6x^{7} - 2x^{6} + 8x^{5}\)

Label the parts of the expression:

Outside the parentheses = \(2x^{4}\)

Inside parentheses = \(3x^{3} -x^{2} + 4x\)

You must distribute what is outside the parentheses with all the values inside the parentheses. Distribution means that you multiply what is outside the parentheses with each value inside the parentheses

\(2x^{4}\) × \(3x^{3}\)

\(2x^{4}\) × \(-x^{2}\)

\(2x^{4}\) × \(4x\)

First, multiply the whole numbers of each value before the variables

2 x 3 = 6

2 x -1 = -2

2 x 4 = 8

Now you have:

6\(x^{4}x^{3}\)

-2\(x^{4}x^{2}\)

8\(x^{4} x\)

When you multiply exponents together, you multiply the bases as normal and add the exponents together

\(6x^{4+3}\) = \(6x^{7}\)

\(-2x^{4+2}\) = \(-2x^{6}\)

\(8x^{4+1}\) = \(8x^{5}\)

Put the numbers given above into an expression:

\(6x^{7} -2x^{6} +8x^{5}\)

distribution

variable

like exponents

The measure of average most affected by removing zero depends on the type of average being used.

If the average being used is the mean, then the measure of average most affected by removing zero is the mean. This is because the mean is calculated by summing all the values and dividing by the number of values, so removing a zero would affect the sum and the divisor, resulting in a different mean.

If the average being used is the median, then removing zero would not have any effect on the median. This is because the median is the middle value when the data is arranged in order, so removing a zero would not change the position of the middle value.

If the average being used is the mode, then removing zero could potentially affect the mode if zero is the most common value in the data set.

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Answer:

La altura del prisma es 2,4 m.

Step-by-step explanation:

Para calcular el volumen de un prisma rectangular, es necesario multiplicar sus tres dimensiones, esto es, longitud*ancho*altura. El volumen se expresa en unidades cúbicas.

Entonces:

volumen= longitud*ancho*altura

En este caso, los datos conocidos son:

Reemplazando:

24 m³= 2,5 m* 4 m* altura

Resolviendo:

\(altura=\frac{24 m^{3} }{2,5 m*4m}\)

\(altura=\frac{24 m^{3} }{10 m^{2} }\)

altura= 2,4 m

La altura del prisma es 2,4 m.

Answer:

x = 2

Step-by-step explanation:

since K is at the midpoint of JL then

JK = KL , that is

7x + 3 = 2x + 13 ( subtract 2x from both sides )

5x + 3 = 13 ( subtract 3 from both sides )

5x = 10 ( divide both sides by 5 )

x = 2

The offered statement states that a rectangle's basic shape has a 45-square-foot area.

An example of a quadrilateral with equal and parallel opposite sides is a rectangle. It is a polygon with four sides and four angles that are each 90 degrees. A parallelogram is a polygon with only two dimensions. To be a square, a rectangle's sides must all have the same length, hence not all rectangles are squares.

Area of rectangle = Length (L) * Width (W)

Area of rectangle = \(\sqrt{15*9*5*3}\)

= \(\sqrt{3*5*3*3*5*3}\)

= 3*5*3

= 45

Consequently, the area of a rectangle in its most basic form is 45.

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Answer:

-2/5

Step-by-step explanation:

Edge 2020

Answer:

-2/5

Step-by-step explanation:

person above is correct!1!!! i just need points =)

To determine the sum of money Jeff should invest on January 21, 2020, in order to reach $80000 on August 8, 2020, at an annual interest rate of 5%, we need to calculate the present value of the future amount using the time value of money concepts.

We can use the formula for the present value of a future amount to calculate the initial investment required. The formula is:

Present Value = Future Value / (1 + interest rate)^time

In this case, the future value is $80000, the interest rate is 5% per year, and the time period is from January 21, 2020, to August 8, 2020. The time period is approximately 6.5 months or 0.542 years.

Plugging these values into the formula, we have:

Present Value = $80000 / (1 + 0.05)^0.542

Evaluating the expression, we find that the present value is approximately $75609. Therefore, Jeff should invest approximately $75609 on January 21, 2020, to amount to $80000 on August 8, 2020, at a 5% annual interest rate.

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Answer:

Step-by-step explanation:

You put this in the wrong place, but I'll answer it anyway.

Let's see what we can get out of it.

1. It allowed western expansion.

2. It gave the United States a southern route to enhance trade.

3. It brought America closer to the slave trade which the southern states needed at the time. I don't like posting this answer, but it is a historical fact.

4. It made things a little difficult for the Spanish who had the ports in Louisiana.

5. It made the land route to the west coast a little easier to do. Not much but some.

6. Considering the cost of the land and how it was later developed, the price paid was a steal.

Answer:

¼ per month or 2 books in 2½ months

Mariam read 4 books in 5 months, resulting in a rate of reading of 4/5 books per month.

Use the concept of fraction defined as:

A fraction is a part of the whole number and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called a fraction. It can be written in the form of p: q, which is equivalent to p / q.

Given that,

Mariam read 4 books

She read the books in 5 months

We need to find her rate of reading, in books per month

To find the rate of reading,

Divide the number of books read by the number of months it took to read them.

In this case, Mariam read 4 books in 5 months.

So, the rate of reading would be 4 books divided by 5 months.

Simplifying this fraction, we have 4/5,

Hence, Mariam's rate of reading is 4/5 books per month.

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Answer:

67

Step-by-step explanation:

basically 1st you have to multiply the cost of food so 4 times 8

2nd you already know the cost of the room

so 3rd add the values

cost of food=32 dollars

cost of roon=35

32 plus 35 =67 $

1. The x-axis represents the sample mean (\(\bar x\)), and the y-axis represents the probability density.

2. The probability represents the area under the standard normal curve to the right of z = 2.197.

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is.

a. To depict the sampling distribution of all possible values of the sample mean, we can use a probability distribution graph, specifically a normal distribution graph.

Given that the population mean (µ) is 12 ounces and the population standard deviation (s) is 0.5 ounces, and assuming that the sample size is sufficiently large (n = 30), we can use the Central Limit Theorem to approximate the sampling distribution of the sample mean as a normal distribution.

The mean of the sampling distribution (\(\mu_\bar x\)) will be the same as the population mean, which is 12 ounces.

The standard deviation of the sampling distribution (\(\sigma_\bar x\)) can be calculated using the formula \(\sigma_\bar x\) = s / √n, where s is the population standard deviation and n is the sample size. In this case, \(\sigma_\bar x\) = 0.5 / √30 ≈ 0.091 ounces.

Using these values, we can plot a normal distribution curve with the mean at 12 ounces and the standard deviation of 0.091 ounces. The x-axis represents the sample mean (\(\bar x\)), and the y-axis represents the probability density.

b. To find the probability of selecting a sample of 36 cans with a sample mean greater than 12.2 ounces, we need to calculate the area under the sampling distribution curve to the right of 12.2 ounces.

First, we need to standardize the value of 12.2 ounces using the formula z = (\(\bar x\) - \(\mu_\bar x\)) / \(\sigma_\bar x\), where \(\bar x\) is the given sample mean, \(\mu_\bar x\) is the mean of the sampling distribution, and \(\sigma_\bar x\) is the standard deviation of the sampling distribution.

In this case, \(\bar x\) = 12.2 ounces, \(\mu_\bar x\) = 12 ounces, and \(\sigma_\bar x\) = 0.091 ounces.

z = (12.2 - 12) / 0.091 ≈ 2.197

Now, we can find the probability using the standard normal distribution table or statistical software. The probability represents the area under the standard normal curve to the right of z = 2.197.

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Answer:

4.5 feet

Step-by-step explanation:

Here, we are concerned with calculating the actual height in feet of the door given the scale used in the maps drawing.

In the scale, scale to actual is 1 inch to 2.5 feet

let 1.8 inch scale = x actual feet

Thus mathematically, by cross multiplying; we have;

x = 2.5 * 1.8 = 4.5 feet

Answer:

960 foxes after 24 years

Step-by-step explanation:

given

y = 60 × \(4^{x}\) models the situation

there are 2 12- year periods in 24 years , then x = 2 , so

y = 60 × 4² = 60 × 16 = 960

there will be 960 foxes after 24 years

Answer:

h(7) = 3

Step-by-step explanation:

h(x) = -\(\sqrt{x-3}\) + 5

h(7) = -\(\sqrt{(7)-3}\) + 5

h(7) = -√4 + 5

h(7) = -2 + 5

h(7) = 3

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▹ Answer

Slope = 1

▹ Step-by-Step Explanation

y = mx + b

'm' represents the slope. since there is no number before the x, the coefficient will always be 1. therefore, the slope is 1.

Hope this helps!

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Convenience purchase: Coca-Cola. Shopping purchase: Apple iPhone. Specialty purchase: Rolex. These brand name products correspond to their respective purchase types based on convenience, shopping involvement, and specialty appeal in the consumer marketplace.

Convenience purchases refer to low-involvement purchases made by consumers for everyday items that are readily available and require minimal effort to obtain. These purchases are typically driven by convenience and habit rather than extensive consideration or brand loyalty.

Shopping purchases involve higher involvement and more deliberate decision-making. Consumers invest time and effort in comparing options, seeking the best value or quality, and may consider multiple brands before making a purchase. These purchases often involve durable goods or products that require more consideration.

Specialty purchases are distinct and unique purchases that cater to specific interests, preferences, or hobbies. These purchases are driven by passion, expertise, and a desire for premium or specialized products. Consumers are often willing to invest more in these purchases due to their unique features, quality, or exclusivity.

Three specific brand name products in the consumer marketplace that correspond to these types of purchases are

Convenience Purchase: Coca-Cola (Soft Drink)

Coca-Cola is a widely recognized brand in the beverage industry. It is readily available in various sizes and formats, making it a convenient choice for consumers seeking a refreshing drink on the go.

With its widespread availability and strong brand presence, consumers often make convenience purchases of Coca-Cola without much thought or consideration.

Shopping Purchase: Apple iPhone (Smartphone)

The Apple iPhone is a popular choice for consumers when it comes to shopping purchases. People invest time researching and comparing features, pricing, and user reviews before making a decision.

The shopping process involves considering various smartphone brands and models to ensure they select a product that meets their specific needs and preferences.

Specialty Purchase: Rolex (Luxury Watches)

Rolex is a well-known brand in the luxury watch industry and represents specialty purchases. These watches are associated with high-quality craftsmanship, precision, and exclusivity.

Consumers who are passionate about luxury watches and seek a premium product often consider Rolex due to its reputation, heritage, and unique features. The decision to purchase a Rolex involves a significant investment and is driven by the desire for a prestigious timepiece.

These examples illustrate how different types of purchases align with specific brand name products in the consumer marketplace, ranging from convenience-driven choices to more involved shopping decisions and specialty purchases driven by passion and exclusivity.

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Answer:

A=56in^2

Step-by-step explanation:

Formula for triangle= A= 1/2xbxh

                                    A=1/2x14x8

                                    A=1/2x112

                                     A=  56                        

Answer:

56 in sq

Step-by-step explanation:

14 in x 8 in = 112

112 devided by or over 2 is 56

To complete the addition expression −0.25+(−0.75) is an arrow pointing from -0.25 to -1.

Given: The line diagram and an addition expression: -0.25 + (-0.75)

What is an addition expression?

An addition expression is a combination of two or more numbers or characters with the binary operator of addition that is '+'.

As addition is a binary operation, so there should be a minimum of 2 operands.

What is a line diagram?

A line diagram shows the number line that has the initial point 0 at the center and number right to 0 are positive real numbers and numbers left to 0 are negative real numbers.

What is the significance of the arrow sign over the number line?

The arrow sign shows that after adding a certain quantity the former value decreases or increases that is it can either approach in the negative side or in the positive side. It can help us to plot directional graphs and help us to better understand how can adding a certain quantity change the behavior of the entire expression.

Let's solve the given question.

From the addition expression we can see that the first operand is -0.25.

-0.75 is then added to -0.25.

As -0.75 is less than 0 so adding -0.75 to -0.25 will make the entire expression smaller that is -1. -1 is smaller than each individual operand.

So, initial point of the arrow will be on point -0.25

now -0.25 + -0.75 = -1

The final point where the arrow head will point to is -1

Therefore, as we can understand the function is linearly decreasing so we are pointing the arrow to the left side that is conventionally the negative side. So it will be starting from the initial point at -0.25 and will gradually decrease to -0.75 amount and will finally turn the expression fall to the value of -1.

Hence, the answer will be an arrow pointing from -0.25 to -1

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Answer:

∆ stands for \vartriangle a example of this is A ∆ B (or A ⊖ B) means the set of elements in exactly one of A or B. or {1,5,6,8} ∆ {2,5,8} = {1,2,6} thats all I have for you sorry if this doesn't help

Step-by-step explanation: