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Answer:

Step-by-step explanation:

dudjdjd

In set-builder notation, the same set can be expressed as {x|x (N and 4<x<10)}, which reads as "the set of all x such that x is a natural number and 4 < x < 10."

How to solve the question?

a. The set of natural odd numbers greater than 2, but less than 11 can be expressed using the roster method as {3, 5, 7, 9}. The set includes all the odd natural numbers between 2 and 11, excluding the endpoints, since 2 is not odd, and 11 is not less than 11.

b. The set {x|x (N and 4<x<10)} can be expressed using the roster method as {5, 6, 7, 8, 9}. The set includes all the natural numbers greater than 4 and less than 10, since x is a natural number (N) and satisfies the condition 4 < x < 10.

In set-builder notation, the same set can be expressed as {x|x (N and 4<x<10)}, which reads as "the set of all x such that x is a natural number and 4 < x < 10." The vertical bar separates the description of the elements of the set (the condition) from the set itself.

The roster method and set-builder notation are both ways of describing sets, but the roster method lists all the elements of a set, while the set-builder notation describes the properties or conditions that define the set. Both methods are useful in different situations and depend on the specific context and the purpose of the set description.

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Your complete question is :-

express each set using the roster method.

a. the set of the natural odd numbers greater than 2, but less than 11

b.{x|x (N and 4

Based on the information, the hedgehogs have made the better offer

The Turkeys are offering a yearly salary of S(t) = 90000t over the course of eight years. To calculate the present value of each payment, an equation is used:

PV = S(t) * e^(-rt)

The variable "r" denotes a continuous interest rate of 0.03. "t" equals the years from t=0 to the time of payment. By this method, the current value of the Turkeys' offer can be assessed as follows:

PV(Turkeys) = ∫[0,8] 90000t * e^(-0.03t) dt

= 736,918.63

Comparatively, the Hedgehogs propose a yearly salary of S(t) = 80000t for nine years. Utilizing the formula employed in the previous scenario, the following result is derived:

PV(Hedgehogs) = ∫[0,9] 80000t * e^(-0.03t) dt

= 753,472.49

Given these calculations and the presumption that Rogelio may earn a continuous interest rate of 3% on his funds, it would best serve him to accept the Hedgehogs’ item offer since they have offered him a more favorable contract based on the accumulated present value of both contracts.

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The area of the triangle with angle B = 128°, side a = 86, and side c = 37 is approximately 2302.7 square units.

To find the area of a triangle when one angle and two sides are given, we can use the formula for the area of a triangle:

Area = (1/2) * a * b * sin(C),

where a and b are the lengths of the two sides adjacent to the given angle C.

In this case, we have angle B = 128°, side a = 86, and side c = 37. To find side b, we can use the law of cosines:

c² = a² + b² - 2ab * cos(C),

where C is the angle opposite side c. Rearranging the formula, we have:

b² = a² + c² - 2ac * cos(C),

b² = 86² + 37² - 2 * 86 * 37 * cos(128°).

By substituting the given values and calculating, we find b ≈ 63.8.

Now, we can calculate the area using the formula:

Area = (1/2) * a * b * sin(C),

Area = (1/2) * 86 * 63.8 * sin(128°).

By substituting the values and calculating, we find the area of the triangle to be approximately 2302.7 square units.

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The scale will register a weight greater than 80 pounds due to Newton’s Third Law

Given that there is a 1-liter container filled with 500 milliliters of water placed on top of a scale displaying 80 pounds.will register a weight greater than 80 pounds

When a body is submerged in a water an upward force acts on the body known as buoyant force which is equal to weight of the water displaced by the body. Since water exerts Buoyant force on the body and according to Newton's third law there must be equal and opposite force exerted by the body on the water. This additional force equal and opposite to the Buoyant force will cause the reading of the scale to increase. Therefore the scale will register a weight greater than 80 pounds due to Newton’s Third Law.

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The complete question is :

There is a 1-liter container filled with 500 milliliters of water placed on top of a scale displaying 80 pounds. When a metal cube is submerged tied to a string end into the container, which of the following statements accurately describes the result?

The cube’s density must be provided to predict what will happen

The scale will remain at 80 pounds until the cube is floating on top of the water fully submerged.

The scale will register a weight greater than 80 pounds due to Newton’s Third Law

The scale will register a weight greater than 80 pounds due to Newton’s Third Law

As x tends to negative one from the left, the value of f(x) tends to positive infinity. As x → -1⁻, f(x) → ∞.

In Mathematics and Geometry, the vertical asymptote of a function simply refers to the value of x (x-value) which makes its denominator equal to zero (0).

By critically observing the graph of this rational function f(x) shown below, we can logically deduce that its vertical asymptote is at x = -1 and x = 2, and its horizontal asymptote is at y = 3.

In this context, we can logically deduce that the value of f(x) tends towards positive infinity, as x tends to negative one from the left;

As x → -1⁻, f(x) → ∞.

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The Emily soccer team has the higher ratio of wins to losses.

Ratio is defined as the relationship between two quantities where it tells how much one quantity is contained in the other.

The ratio of a and b is denoted as a : b.

Given that,

Ratio of win to loss of Emily soccer team = 9 : 12

Ratio of win to loss of Grant soccer team = 10 : 15

9 : 12 = 9 / 12 = (9 × 5) / (12 × 5) = 45 / 60

10 : 15 = 10 / 15 = (10 × 4) / (15 × 4) = 40 / 60

If 60 games are losses, then 45 games are wins for Emily soccer team.

If 60 games are losses, then 40 games are wins for Grant soccer team.

Higher ratio is for Emily soccer team.

Hence higher ratio of wins to losses is for Emily soccer team.  

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Answer:

Yup 0,2,2,-1,-2

Step-by-step explanation:

Edg 2020

The value of g(-4) for the given function g(x)=x+4 is 0.

Piecewise functions are functions that have multiple pieces, or sections. They are defined piece by piece, with various functions defining each interval. Piecewise functions can be split into as many pieces as necessary. Each piece behaves differently based on the input function for that interval. Pieces may be single points, lines, or curves.

For −5 ≤ x ≤ −1

Lets take all range of values of x

g(-5) = x + 4 = -5 + 4 = -1

g(-4) = x + 4 = -4 + 4 = 0

g(-3) = x + 4 = -3 + 4 = 1

g(-2) = x + 4 = -2 + 4 = 2

g(-1) = x + 4 = -1 + 4 = 3

For −1 < x ≤ 5

Lets take all range of values of x

g(0) = 2 - x = 2 - 0 = 2

g(1) = 2 - x= 2 - 1 = 1

g(2) = 2 - x= 2 - 2 = 0

g(3) = 2 - x= 2 - 3 = -1

g(4) = 2 - x= 2 - 4 = -2

g(5) = 2 - x= 2 - 5 = -3

Therefore, the value of g(-4) for the given function g(x)=x+4 is 0.

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Step-by-step explanation:

perimeter of a rectangle = 2×length + 2×width = 28 ft

width = length - 2

length = width + 2

2×(width + 2) + 2×width = 28

2×width + 4 + 2×width = 28

4×width + 4 = 28

4×width = 24

width = 6 ft

and the length is width + 2 = 6+2 = 8 ft.

The probability of 4 successes in 9 trials with a probability of success of 0.7 on each trial is approximately 0.073.

We can use the binomial distribution formula to find the probability of 4 successes in 9 trials with a probability of success of 0.7 on each trial:

P(X = 4) = (9 choose 4)  (0.7)⁴ (1 - 0.7)⁽⁹⁻⁴⁾

where (9 choose 4) represents the number of ways to choose 4 items from a set of 9, which is calculated as:

(9 choose 4) = 9! / (4! * 5!) = 126

Plugging in the values, we get:

P(X = 4) = 126  (0.7)⁴  (0.3)⁵

≈ 0.073

Therefore, the probability of 4 successes in 9 trials with a probability of success of 0.7 on each trial is approximately 0.073.

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Answer:

9-6r

Step-by-step explanation:

9(1−r)+3r

Use the distributive property to multiply 9 by 1−r.

9−9r+3r

Combine −9r and 3r to get −6r.

Answer: 9−6r

Answer:

-6r + 9

Step-by-step explanation:

9( 1 - r ) + 3r

9 - 9r + 3r

9 - 6r

So, the answer is -6r + 9

Since three identical small rectangles are joined to form a large rectangle, the large rectangle will have three times the length and the width of a small rectangle.

Let's assume the width of one small rectangle is x cm. Therefore, the length of one small rectangle will be 21 cm - 2x cm (since two widths are subtracted from the total perimeter).

The perimeter of one small rectangle is given by:

Perimeter = 2 * (length + width)

Perimeter = 2 * ((21 - 2x) + x)

Perimeter = 2 * (21 - x)

Perimeter = 42 - 2x

Since the large rectangle is formed by joining three identical small rectangles, the perimeter of the large rectangle will be three times the perimeter of one small rectangle.

Perimeter of the larger rectangle = 3 * (42 - 2x)

Perimeter of the larger rectangle = 126 - 6x

Therefore, the perimeter of the larger rectangle is 126 - 6x cm.

Answer:

day 4: 16000
day 5: 32000
day 6: 64000
day 7: 128000
day 8: 256000
day 9: 512000
day 10: 1024000

Step-by-step explanation:

just fill in the day number as x and solve the equation.    

I attached a sketch of the graph. My paper isn't big enough to draw in all points, but you should get the idea on how to draw this. On the y axis, you use the number of people infected, on the x axis, the number of days.
Then you draw in each point, just as the exercise is asking for.
Then you also can read on the graph how many people are infected on day 6 and a half and day 11. You read this by checking what y value there is approximately for x = 6.5 and x = 11.
(hint: should be about 90500 for 6.5 days and 2048000 for 11 days)

Answer:

Adam's thinking is not correct.

When subtracting 10 from 708, we need to borrow 1 from the hundreds digit and add it to the tens digit. This will result in a new hundreds digit of 6 and a new tens digit of 9. The ones digit remains the same. Therefore, the correct answer would be 698.

Adam's answer is also 698, but his reasoning is incorrect. He thinks that both the tens and hundreds digits change, which is not the case. In reality, only the tens digit changes while the hundreds digit decreases by 1 due to the borrowing process.

thank me by marking my answer as brainliest!

Answer:

Step-by-step explanation: 21

y=119

Step-by-step explanation:

11^2-2 =119

-11^2 means -11×-11 ;negative cancelled by negative

then 11×11=121

y=x^2-2

To find the area of the combined rectangles, we need the dimensions (length and width) of each rectangle. However, the provided text and numbers do not seem to correspond to a clear description of the rectangles or their dimensions. Could you please provide more specific information or clarify the question?

The measure of side length x in the right triangle is approximately 6.03 cm.

The figure in the image is a right triangle having one of its interior angle at 90 degrees.

From the figure:

Angle θ = 37 degrees

Adjacent to angle θ = 8 cm

Opposite to angle θ = x

To solve for the missing side length x, we use the trigonometric ratio.

Note that: tangent = opposite / adjacent

Hence:

tan( θ ) = opposite / adjacent

Plug in the given values and solve for x:

tan( 37 ) = x / 8

x = tan( 37 ) × 8

x = 6.03 cm

Therefore, the value of x is 6.03 cm.

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Answer:

B) Mia Hamm helped her soccer team at the University of North Carolina at Chapel Hill win four NCAA titels.

Step-by-step explanation:

The first option is an opinion, not a fact.

Answer:

no

Step-by-step explanation:

the total would be $19.55 before tax and tip

Here, we have to classify each differential equation based on their characteristics:

This is a separable differential equation because the variables can be separated on different sides of the equation.

It's of the form dy/dx = g(x) - f(y)/h(y), where g(x) = x/x and h(y) = 1.

This is a linear first-order differential equation because it can be rearranged to the form y' + P(x)y = Q(x), where P(x) = -1/(x + 1) and Q(x) = 20/(x + 1).

This is a separable differential equation because the variables x and y can be separated on different sides of the equation.

This is a separable differential equation because the variables x and y can be separated on different sides of the equation.

This is a Bernoulli differential equation because it is of the form \(dy/dx = p(x)y + q(x)y^n\), where p(x) = 0 and q(x) = 5x, n = 2.

This is a separable differential equation because the variables x and y can be separated on different sides of the equation.

This is a linear first-order differential equation because it can be rearranged to the form y' + P(x)y = Q(x), where P(x) = -1/x and \(Q(x) = e^{(xy)} - x^{(-1)\).

This is a linear first-order differential equation because it can be rearranged to the form y' + P(x)y = Q(x), where P(x) = -2/x and Q(x) = 2x.

This is a separable differential equation because the variables x and y can be separated on different sides of the equation.

This is a linear first-order differential equation because it can be rearranged to the form y' + P(x)y = Q(x), although it's not immediately obvious what P(x) and Q(x) are.

This is a linear first-order differential equation because it can be rearranged to the form y' + P(x)y = Q(x), where \(P(x) = -1/x^2\) and \(Q(x) = -e^{(2x^3)} - y^2\).

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The length of the arc KL in the given circle is 3.49 units

In a circle whose radius is R, the length of an arc defined by an angle x is given by:

Length = (x/360)*2*3.14*R

Here we know that the radius is 2 units, and the angle for the arc KL is 100°, then we can replace these values in the formula above so we get that the length of the arc is:

Length = (100/360)*2*3.14*2

Lenght = 3.49 units.

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Answer: 1.2

Step-by-step explanation:

Just use a calculator

Answer:

m∠BEC = 65°

m∠DEC = 115°

m∠DAE = 78°

m∠ECD = 40°

m∠BAD = 118°

m∠ADC = 62°

Step-by-step explanation:

m∠BEC = 65°

Opposite angles formed by intersecting lines are congruent

m∠DEC = 180 - 65 = 115°

A straight line has a degree measure of 180

m∠DAE = 78°

Opposite interior angles of two parallel lines cut by a transversal are congruent

m∠ECD = 180 - [m∠DEC + 25] = 40°

Sum of angles inside triangle ECD has a measure of 180

m∠BAD = 78 + m∠ECD = 118°

Opposite angles of a parallelogram are congruent

2(m∠BAD) + 2(m∠ADC) = 360

118 + m∠ADC = 180

m∠ADC = 62°

Sum of angles inside a parallelogram = 360°

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it is the same as a relative frequency.

The total number of periods is given as follows:

5 + 6 + 4 = 15.

The frequency of each class is given as follows:

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Answer:

im pretty sure it's -8

Answer:

undefined

Step-by-step explanation:

the line goes straight down

The average rate of change for the function f(x)= 3^x + 25 using the intervals of x=2 to x=6 is 6.75

The function is given as:

f(x) = 3^x + 25

The interval is given as:

x = 2 to 6

Start by calculating f(2) and f(6)

f(2) = 3^2 + 25 = 34

f(6) = 6^2 + 25 = 61

The average rate of change is then calculated as:

\(m = \frac{f(6) - f(2)}{6 -2}\)

This gives

\(m = \frac{61 - 34}{6 -2}\)

\(m = \frac{27}{4}\)

m = 6.75

Hence, the average rate of change is 6.75

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Answer:

  D.  66 2/3 quarts sparkling water & 33 1/3 quarts grape juice

Step-by-step explanation:

You want the quantities of ingredients required to make 100 quarts of punch that uses 1 1/2 quarts of sparkling water for each 3/4 quart of grape juice.

The fraction of the total that is sparkling water is ...

  sparkling water / (sparkling water +grape juice)

  = (1 1/2 qt)/(1 1/2 +3/4 qt) = (3/2)/(3/2 +3/4)

  = (6/4)/(9/4) = 6/9 = 2/3

Then the amount of 100 quarts that is sparkling water is ...

  (2/3) × 100 qt = 66 2/3 qt

The remaining quantity is grape juice:

  100 qt -66 2/3 qt = 33 1/3 qt

The ingredient amounts are ...

Answer:

60, 61, 62

Step-by-step explanation:

Let's call our first integer n.

The other two, since they are consecutive, will be n+1, and n+2.

First number: n

Second number: n + 1

Third number: n + 2

The sum of these 3 will be:

\(n + (n+1) + (n+2)\\3n + 1 + 2\\3n + 3\)

We know that the sum, 3n+3, is equal to 183. Let's set these two equal to each other and solve the equation.

\(3n+3 = 183\)

Subtract 3 from both sides.

\(3n = 180\)

Divide both sides by 3.

\(n = 60\)

Now that we know n, we can find the values of all 3 integers.

First number, n:

n = 60

Second number, n+1:

n + 1 = 60 + 1 = 61

Third number, n + 2:

n + 2 = 60 + 2 = 62

Answer: 60, 61, 62