9. Determine the equation of a line that passes though the points (3,-4) and (6,2). [​

Answer: 24

Step-by-step explanation:

32/16=2 so it cost 2 per guest.

48/2= 24 guests

Answer:

A shipping box is in the shape of a cube. What is the volume of the shipping box if the length of one side of the box is 4m24n4

Answer:

1. alternate exterior angles

2. co-interior angles

3. corresponding angles

4. alternate interior angles

5. corresponding angles

6. co-interior angles

Answer: 1 tablespoon

Step-by-step explanation:

A is finite, then X - A is clearly uncountable (since it has the same cardinality as X). If A is countable but not infinite, then X - A is still uncountable (since it has the same cardinality as X). Thus, the only interesting case is when A is countably infinite.

Let X be an uncountable set and A be a countably infinite subset of X. We need to show that X - A is uncountable. By contradiction, assume that X - A is countable. Since A is countably infinite, we can list its elements in a sequence as {a1, a2, a3, ...}. Now, consider the following sequence of sets:S1 = X - {a1}S2 = S1 - {a2}S3 = S2 - {a3}...Sn = Sn-1 - {an}...Observe that each Si is obtained by removing a finite set from X, and hence Si is uncountable. Moreover, Si is a subset of Si-1 for each i, so we have an infinite descending chain of uncountable sets. This contradicts the fact that X is uncountable. Therefore, X - A must be uncountable.Note that this argument works for any uncountable set X, regardless of its cardinality. We only need to assume that A is countably infinite. If A is finite, then X - A is clearly uncountable (since it has the same cardinality as X). If A is countable but not infinite, then X - A is still uncountable (since it has the same cardinality as X). Thus, the only interesting case is when A is countably infinite.

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System of Equations

Let:

x = cost of each notebook.

y = cost of each thumb drive.

Three notebooks and 2 thumb drives cost $43, thus:

3x + 2y = 43

Three notebooks and three thumb drives cost $57, thus:

3x + 3y = 57

Subtracting both equations:

3x - 3x + 3y - 2y = 57 - 43

Simplifying:

y = 14

Substituting into the first equation:

3x + 28 = 43

Subtracting 28:

3x = 15

Dividing by 3:

x = 5

Each notebook cost $5 and each thumb drive cost $14

Answer: \(4x-3\)

Step-by-step explanation:

For any function f(x), you will substitute the value of x into the given function. For instance, f(x) = 2x+3. The value substituted in was the original variable, x. However, if x=2, then f(2) = 2(2)+3 = 4+3 = 7. This still applies even if the given x is another function, such as x+2. So for the given function f(x) = 4x-11, f(x+2) = 4(x+2)-11. This simplifies to 4x+8-11, which simplifies to 4x-3.

Answer:

10

Step-by-step explanation:

when you think about it all you have to do is add a zero-  1/10 is like 10/100 so- ((im bad with math, and im quite bad at explaining things yet if you try to think of what it could = then you would understand))  

The t-distribution value is -1.67 for the given mean samples of 35 and 45. Thus, option B is correct.

M₁ = 35

M₂ = 45

SM1-M2 = 6.00

The t-value or t-distribution formula is calculated from the sample mean which consists of real numbers. To calculate the t-value, the formula we need to use here is:

t = (M₁ - M₂) / SM1-M2

Substituting the given values into the formula:

t = (35 - 45) / 6.00

t = -10 / 6.00

t = -1.67

Therefore, we can conclude that the value of t is -1.67 for the samples given.

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The t-distribution value is -1.67 for the given mean samples of 35 and 45. Thus, option B is correct.

Given, M₁ = 35

M₂ = 45

SM1-M2 = 6.00

The t-value or t-distribution formula is calculated from the sample mean which consists of real numbers.

To calculate the t-value,

the formula we need to use here is:

t = (M₁ - M₂) / SM1-M2

Substituting the given values into the formula:

t = (35 - 45) / 6.00

t = -10 / 6.00

t = -1.67

Therefore, we can conclude that the value of t is -1.67 for the samples given.

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a) The mode of the list is 7

b) The median of the list is 7.

c) The mean is 5.4

d) The range is 7

What is the Mean, Mode and Median?

Mean: The mean is the average of a set of numbers, calculated by adding up all the numbers and dividing by the total number of numbers in the set.

Mode: The mode is the most frequently occurring number in a set of numbers.

Median: The median is the middle value in a set of numbers when the set is sorted in ascending or descending order.

a) Mode: The mode of the list is 7, as it is the number that occurs most frequently (3 times).

b) Median: To find the median, the list must first be sorted in ascending order:

1, 2, 3, 4, 5, 7, 7, 7, 8, 8

The median of the list is 7.

c) Mean: The mean is found by adding up all the numbers in the list and dividing by the total number of items:

(3 + 7 + 2 + 4 + 7 + 5 + 7 + 1 + 8 + 8)/10 = 54/10 = 5.4

d) Range: The range is the difference between the largest and smallest numbers in the list:

8 - 1 = 7

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Answer and Step-by-step explanation:

Use the Pythagorean Theorem to solve for the height.

\(a^{2}+ b^{2}= c^{2} \\\\\\4^{2} + b^{2} = 5^{2}\\\\\\16 + b^{2} = 25\\\\\\b^{2} = 9\\\\\\b = 3\)

The height of the triangle is 3.

Now we can solve the shapes in  the trapezoid.

4 times 3 = 12 (Rectangle)

\(\frac{4 * 3}{2}\) = \(\frac{12}{2}\) = 6 (Triangle)

12 + 6 = 18 (Trapezoid)

The area of the trapezoid is 18 \(units^{2}\).

#teamtrees #PAW (Plant And Water)

Answer:

D. 125 cm³

Step-by-step explanation:

Volume is how much space an object takes up.

The volume of a cube is denoted by: V = s³, where s is the side length of the cube. Here, we see that s = 5, so plug this into the formula:

V = s³

V = 5³ = 5 * 5 * 5 = 125

The answer is thus D.

Answer:

\(125 {cm}^{3} \)

Step-by-step explanation:

\(volume = b \times h \times l \\ = 5 \times 5 \times 5 \\ = 125 {cm}^{3} \)

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer: mr lee is 37 year .

Step-by-step explanation:32+5=37

Answer:

Mr. lee is 35 yrs old right now. his son 3

Step-by-step explanation:

after 5 yrs, his son will be 8 and lee 40, 8×5=40

A function from a finite set s to itself is one-to-one if and only if it is onto. This result holds because of the finite nature of the set s and the uniqueness of the mapping between elements in the domain and the range of the function.

To show that a function from a finite set s to itself is one-to-one if and only if it is onto, we need to consider two cases.

let's assume that the function is one-to-one. This means that for every pair of distinct elements x and y in the set s, the function maps them to distinct elements in the set s. In other words, if f(x) = f(y), then x = y. Since the set s is finite, and the function maps each element to a distinct element, there must be an equal number of elements in the domain and the range of the function. Therefore, the function must be onto as well.

Now let's assume that the function is onto. This means that for every element y in the set s, there exists an element x in the set s such that f(x) = y. In other words, every element in the range of the function is mapped to by some element in the domain of the function. Since the set s is finite, and the function maps each element to a unique element, there cannot be any elements in the range of the function that are not mapped to by some element in the domain of the function. Therefore, the function must be one-to-one as well.

In summary, a function from a finite set s to itself is one-to-one if and only if it is onto. This result holds because of the finite nature of the set s and the uniqueness of the mapping between elements in the domain and the range of the function.

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The Probability of a pregnancy lasting less than 250 days is 0.1151.

Probability: - It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed  from 0 to 1.

Let the length of human pregnancy be denoted by X. We obtain the probability associated with this value by converting it to be standard normal ( z) score and then consulting a Z- table to find the corresponding probability.

P(x< 250) = P( x-μ /σ < 250 - 268 /15)

                = P( z < -1.2)

                = 0.1151

∴ The probability of a pregnancy lasting less than 250 days is 0.1151.

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Answer:

10pix+65pi

Step-by-step explanation:

pi(x+9)^2-pi(x+4)^2

=pi(x^2+18x+81)-pi(x^2+8x+16)

=pix^2+18pix+81pi-pi(x^2+8x+16)

=pix^2+18pix+81pi-pix^2-8pix-16pi

=10pix+65pi

Answer:

yes

Step-by-step explanation:

there are two sets of parrelell line
i might have spelled it wrong

The parallelogram is ABCD with the sides AD parallel to BC

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure

The four types are parallelograms, squares, rectangles, and rhombuses

Properties of Parallelogram

Opposite sides are parallel

Opposite sides are congruent

Opposite angles are congruent.

Same-Side interior angles (consecutive angles) are supplementary

Each diagonal of a parallelogram separates it into two congruent triangles

The diagonals of a parallelogram bisect each other

Given data ,

Let the figure be represented as ABCD

Now , the sides AD and BC are parallel to each other

And , from the figure , we can say that the sides AB is parallel to CD

Therefore , the figure ABCD is a parallelogram

And , opposite sides of a parallelogram are parallel

Hence , the figure ABCD is a parallelogram

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The exponential function f, whose graph is given below, can be written as f(x)=4.7ˣ.

In mathematics, a function is a rule that maps each element (or input) of a set, called the domain, to a unique element (or output) of another set, called the range. Functions are often represented using function notation, such as f(x), where "f" is the name of the function and "x" is the input variable. The value of f(x) is the output or image of x under the function f.

Here,

If the exponential function f can be written as f(x) = a ⋅ b^x, where a and b are constants, then the graph of f will have the following characteristics:

The y-intercept of the graph will be a, which is the value of f(0).

The base of the exponential function, b, determines the rate of growth or decay of the function. If b > 1, the function grows as x increases. If 0 < b < 1, the function decays as x increases. If b = 1, the function is constant.

The graph of f will be increasing if b > 1 and decreasing if 0 < b < 1. The rate of increase or decrease will be determined by the magnitude of b.

The graph of f will never cross the x-axis, but it will approach the x-axis as x becomes very negative (if b > 1) or very positive (if 0 < b < 1).

Note that the graph of an exponential function can also be characterized by its asymptote, which is a horizontal line that the function approaches but never crosses. The asymptote is the line y = 0 if 0 < b < 1, and the line y = a if b > 1.

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Answer: 3:30

Step-by-step explanation:

Answer:0.015625

Step-by-step explanation:

Answer:

1/64 or 0.015625

Step-by-step explanation:

Hi!
I will do my best to help you.

When you are looking for a number to the power of three, you multiply that number three times.

Example: 3 to the power of 3

Wrong way: 3x3=9

Correct way: 3 x 3 x 3= 27

Remember, when doing power of threes, you don’t multiply the number given by three, you multiply the given number to itself three times.

Now that we know this, let’s solve 1/4 to the power of three.

1/4 x 1/4 x 1/4 = 1/64

1/64 simplified is 0.015625.

And that’s about it! Let me know if you have any questions, hope this helped. :)

The required fuel for the nighttime trip is approximately 5,610 gallons.

To calculate the required fuel for the nighttime trip, we need to consider the distance of the trip, the aircraft's airspeed, the fuel consumption rate, and the effect of the tailwind.

Given that the trip is 2,425 miles and the aircraft's airspeed is 570 miles per hour, we can determine the total flight time by dividing the distance by the airspeed. In this case, the flight time is approximately 4.25 hours.

Next, we need to account for the fuel consumption rate. The aircraft burns 3,000 gallons of fuel per hour. Multiplying the flight time by the fuel consumption rate gives us the total fuel consumed during the trip, which is approximately 12,750 gallons.

Now, let's factor in the effect of the tailwind. The tailwind of 32 miles per hour will increase the groundspeed of the aircraft. To calculate the groundspeed, we subtract the tailwind speed from the airspeed. In this case, the groundspeed is 570 - 32 = 538 miles per hour.

To determine the fuel consumption adjusted for the groundspeed, we divide the distance of the trip by the groundspeed. This gives us the adjusted flight time of approximately 4.51 hours. Multiplying the adjusted flight time by the fuel consumption rate gives us the fuel consumption adjusted for the tailwind, which is approximately 13,530 gallons.

Therefore, the required fuel for the nighttime trip is approximately 5,610 gallons (13,530 - 12,750).

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Answer: 57 degrees

Step-by-step explanation:

Angle ZXY = Angle YZV = 75 degrees (Alternate segment theorem)

Since angles on a straight line add upto 180 degrees:

Angle UZX = 180 - ( 75 + 48) = 57 degrees

Note: 75 is Angle YZV and 48 is Angle XZY

The equilibrium price is $0 and the equilibrium quantity is 5 units.

To find the equilibrium price and quantity, we need to set the quantity demanded equal to the quantity supplied and solve for the equilibrium values.

Setting Q_d = Q_s, we can equate the equations for demand and supply:

-2Q - 2Q_d = -5 + 3Q_s

Since we know that Q_d = Q_s, we can substitute Q_s for Q_d:

-2Q - 2Q_s = -5 + 3Q_s

Now, let's solve for Q_s:

-2Q - 2Q_s = -5 + 3Q_s

Combine like terms:

-2Q - 2Q_s = 3Q_s - 5

Add 2Q_s to both sides:

-2Q = 5Q_s - 5

Add 2Q to both sides:

5Q_s - 2Q = 5

Factor out Q_s:

Q_s(5 - 2) = 5

Q_s(3) = 5

Q_s = 5/3

Now that we have the value for Q_s, we can substitute it back into either the demand or supply equation to find the equilibrium price. Let's use the supply equation:

P = -5 + 3Q_s

P = -5 + 3(5/3)

P = -5 + 5

P = 0

Therefore, the equilibrium price is $0 and the equilibrium quantity is 5 units.

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(a) A relation on A that is symmetric but not transitive:

In this case, let's assume A = {a, b, c}.

To create a relation that is symmetric but not transitive, we can set up the following directed graph:

  a   b   c

┌───┐ │ ┌───┐

│   │ │ │   │

└───┘ │ └───┘

  │   │

┌───┐ │

│   │ │

└───┘ │

  └───┘

In this graph, there are directed edges between 'a' and 'b', 'b' and 'a', 'b' and 'c', and 'c' and 'b'. However, there is no directed edge between 'a' and 'c' or 'c' and 'a'. This satisfies the condition of symmetry but fails the transitivity condition.

(b) A relation on A that is transitive but not symmetric:

Again, considering A = {a, b, c}, we can set up the following directed graph:

  a   b   c

┌───┐ └───┐

│   │ ┌───┘

└───┘ │

  └───┘

In this graph, there is a directed edge from 'a' to 'b', 'b' to 'c', and 'a' to 'c'. However, there is no directed edge from 'b' to 'a' or 'c' to 'b'. This satisfies the condition of transitivity but fails the symmetry condition.

(c) A relation on A that is symmetric and transitive but not reflexive on A:

Using A = {a, b, c}, we can set up the following directed graph:

  a   b   c

┌───┐ └───┐

│   │ ┌───┘

└───┘

In this graph, there are directed edges between 'a' and 'b', 'b' and 'a', 'b' and 'c', and 'c' and 'b'. The graph satisfies the symmetry and transitivity conditions. However, there are no loops or self-edges, indicating that the relation is not reflexive.

(d) A relation on A that is not reflexive, not symmetric, and not transitive:

For this case, we can set up the following directed graph:

css

Copy code

  a   b   c

┌───┐ ┌───┐

│   │ │   │

└───┘ └───┘

In this graph, there are no directed edges between any pair of elements. Since there are no directed edges, the relation fails to satisfy reflexivity, symmetry, and transitivity.

(e) An equivalence relation on A (other than the identity relation):

Considering A = {a, b, c}, we can set up the following directed graph:

  a   b   c

┌───┐ ┌───┐

│   │ │   │

└───┘ └───┘

In this graph, there is a directed edge between each pair of elements, including loops or self-edges. This graph represents the equivalence relation where every element is related to itself, and all elements are related to each other.

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Answer:

See answer in photo please

The total amount spent on 3 pizzas costing 12 dabloons each, along with a 7 dabloon tip, was 43 dabloons.

To calculate the total amount spent, we need to consider the cost of the pizzas and the tip given to the delivery person.

The cost of each pizza is 12 dabloons, and you ordered 3 pizzas, so the total cost of pizzas = 12 dabloons/pizza × 3 pizzas

= 36 dabloons.

Additionally, you gave a 7 dabloon tip to the delivery person.

Therefore, the total amount spent = 36 dabloons (pizza cost) + 7 dabloons (tip)

= 43 dabloons.

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Binomial is the name for an algebraic expression with only two terms. In mathematics the formula for a binomial is axᵐ + bxⁿ.

What is a binomial?

Binomial is the name for an algebraic expression with only two terms. It is a polynomial with two terms. It is sometimes referred to as the sum or difference of two or more monomials. It is a polynomial's most basic form.

A binomial is a two-term algebraic expression that includes a constant, exponents, a variable, and a coefficient.

A binomial can be written as a single indeterminate as follows -

axᵐ + bxⁿ

Where m and n are non-negative distinct integers and a and b are the numbers. X can be a variable or be indefinite.

Binomials are stated in the same way in Laurent polynomials; the main distinction is that m and n may have negative exponents. Consequently, they are expressed as -

ax⁻ᵐ + bx⁻ⁿ

An example of a binomial polynomial is x² + 4x.

Therefore, binomial formula is axᵐ + bxⁿ.

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Answer:

0.45

Step-by-step explanation:

You divided 2.25 by 5

The z-score for P(? ≤ z ≤ ?) = 0.60 is approximately 0.25.

The z-score for P(z ≥ ?) = 0.30 is approximately -0.52.

How to find the Z score

P(Z ≤ z) = 0.60

We can use a standard normal distribution table or a calculator to find that the z-score corresponding to a cumulative probability of 0.60 is approximately 0.25.

Therefore, the z-score for P(? ≤ z ≤ ?) = 0.60 is approximately 0.25.

For the second question:

We want to find the z-score such that the area under the standard normal distribution curve to the right of z is 0.30. In other words:

P(Z ≥ z) = 0.30

Using a standard normal distribution table or calculator, we can find that the z-score corresponding to a cumulative probability of 0.30 is approximately -0.52 (since we want the area to the right of z, we take the negative of the z-score).

Therefore, the z-score for P(z ≥ ?) = 0.30 is approximately -0.52.

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Answer:

the angle of depression is approx 22 degrees

Step-by-step explanation:

Model drawn below to visualize

I represented the angle of depression as x

Since two side lengths are given, we can use tangent to find the angle of depression

tan x= 3/7.5

We then use inverse tangent to find the angle measure:

m<x=\(tan^{-1}\)(3/7.5)

m<x is approx 21.8 or 22 when rounded to the nearest degree

(when using tan, inverse tan, sin, cos, inv... use deg on calculator when finding angle of depression, solving triangles, etc.)