Please help me I just want sleep and I want it to be atleast on 75% so I can continue tomorrow cause I’m tried and my back already hurts.

This statement best illustrates money used as a medium of exchange. In this scenario, the individual goes to the store and exchanges $68 for a pair of jeans. Money serves as a medium of exchange when it is used to facilitate transactions between buyers and sellers. In this case, the buyer wants a pair of jeans, and the seller wants to sell them for $68. Without money, they would have to engage in bartering, which can be cumbersome and inefficient. Money makes the transaction smoother and allows both parties to get what they want. Overall, this example demonstrates how money is an essential tool for facilitating transactions in our modern economy.
Hi! Your question is about the function of money as illustrated by the example of paying $68 for a pair of jeans. This statement best illustrates money used as a medium of exchange.

In this scenario, money is being used as a medium of exchange because it is facilitating the transaction between you and the store. Instead of using barter or trading goods and services directly, you use money to acquire the pair of jeans. This makes transactions more efficient and convenient since it eliminates the need for a double coincidence of wants, which is when two parties each have something the other wants. As a medium of exchange, money serves as a universally accepted means to buy and sell goods and services, like your jeans purchase at the store.

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Answer:

1/2 of a minute

Step-by-step explanation:

Answer:

Willam fills 1/3 of a water bottle in 2/5 of a minute. How much time will it take him to fill the bottle

Step-by-step explanation:

Willam fills 1/3 of a water bottle in 2/5 of a minute. How much time will it take him to fill the bottle

Graph option B is the correct answer.

Graphical representation refers to the use of charts and graphs to visually display, analyse, clarify, and interpret numerical data, functions, and other qualitative structures.

Given are function,

y = x+1 ≤0 and y = 3x

The best demonstration of these functions can be seen in graph 2.

Hence, Graph option B is the correct answer.

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Answer:

-4x

Step-by-step explanation:

Lets analyze the expression:

\(19x-23x\)

These two are like terms, which means we can combine them. Lets subtract both of them.

\(-4x\)

Answer:

Range = highest value - lowest value

Explanation:

This is the required formula to find range from a distribution table.

The integral of sin(2θ)cos(3θ)dθ is -(1/5)cos(2θ)cos^2(3θ) + C, where C is the constant of integration.

To evaluate the integral, we need to use various trigonometric identities. One useful identity for this integral is the double-angle identity for sine, which states that sin(2θ) = 2sin(θ)cos(θ). Using this identity, we can rewrite the integrand as 2sin(θ)cos(θ)cos(3θ).

Next, we can use the product-to-sum identity, which states that cos(a)cos(b) = (1/2)(cos(a + b) + cos(a - b)). Applying this identity to our integral, we have:

2sin(θ)cos(θ)cos(3θ) = 2sin(θ)[(1/2)(cos(θ + 3θ) + cos(θ - 3θ))]

                     = sin(θ)[cos(4θ) + cos(2θ)]

Now we have a sum of two terms. We can integrate each term separately. The integral of sin(θ)cos(4θ) dθ can be evaluated by using a u-substitution with u = 4θ. Similarly, the integral of sin(θ)cos(2θ) dθ can be evaluated with a u-substitution where u = 2θ.

After integrating both terms, we obtain:

∫sin(2θ)cos(3θ)dθ = -(1/5)cos(2θ)cos^2(3θ) + C

By applying trigonometric identities and performing the necessary integrations, we have obtained the result -(1/5)cos(2θ)cos^2(3θ) + C for the integral of sin(2θ)cos(3θ)dθ.

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Answer:

-1.778

Step-by-step explanation:

The two lines cross at the point (-1.778,-4.333), but the x value is -1.778

Hope this helps

Okay, here we have this:

Considering the provided expression, we are going to solve and simplify it, so we obtain the following:

Finally we obtain that the expression is equal to -22/5.

To determine the variable matrix \(\displaystyle X\) using the equation \(\displaystyle AX=B\), we need to solve for \(\displaystyle X\). We can do this by multiplying both sides of the equation by the inverse of matrix \(\displaystyle A\).

Let's start by finding the inverse of matrix \(\displaystyle A\):

\(\displaystyle A=\begin{bmatrix} 3 & 2 & -1\\ 1 & -6 & 4\\ 2 & -4 & 3 \end{bmatrix}\)

To find the inverse of matrix \(\displaystyle A\), we can use various methods such as the adjugate method or Gaussian elimination. In this case, we'll use the adjugate method.

First, let's calculate the determinant of matrix \(\displaystyle A\):

\(\displaystyle \text{det}( A) =3( -6)( 3) +2( 4)( 2) +( -1)( 1)( -4) -( -1)( -6)( 2) -2( 1)( 3) -3( 4)( -1) =-36+16+4+12+6+12=14\)

Next, let's find the matrix of minors:

\(\displaystyle M=\begin{bmatrix} 18 & -2 & -10\\ 4 & -9 & -6\\ -8 & -2 & -18 \end{bmatrix}\)

Then, calculate the matrix of cofactors:

\(\displaystyle C=\begin{bmatrix} 18 & -2 & -10\\ -4 & -9 & 6\\ -8 & 2 & -18 \end{bmatrix}\)

Next, let's find the adjugate matrix by transposing the matrix of cofactors:

\(\displaystyle \text{adj}( A) =\begin{bmatrix} 18 & -4 & -8\\ -2 & -9 & 2\\ -10 & 6 & -18 \end{bmatrix}\)

Finally, we can find the inverse of matrix \(\displaystyle A\) by dividing the adjugate matrix by the determinant:

\(\displaystyle A^{-1} =\frac{1}{14} \begin{bmatrix} 18 & -4 & -8\\ -2 & -9 & 2\\ -10 & 6 & -18 \end{bmatrix}\)

\(\displaystyle A^{-1} =\begin{bmatrix} \frac{9}{7} & -\frac{2}{7} & -\frac{4}{7}\\ -\frac{1}{7} & -\frac{9}{14} & \frac{1}{7}\\ -\frac{5}{7} & \frac{3}{7} & -\frac{9}{7} \end{bmatrix}\)

Now, we can find matrix \(\displaystyle X\) by multiplying both sides of the equation \(\displaystyle AX=B\) by the inverse of matrix \(\displaystyle A\):

\(\displaystyle X=A^{-1} \cdot B\)

Substituting the given values:

\(\displaystyle X=\begin{bmatrix} \frac{9}{7} & -\frac{2}{7} & -\frac{4}{7}\\ -\frac{1}{7} & -\frac{9}{14} & \frac{1}{7}\\ -\frac{5}{7} & \frac{3}{7} & -\frac{9}{7} \end{bmatrix} \cdot \begin{bmatrix} 33\\ -21\\ -6 \end{bmatrix}\)

Calculating the multiplication, we get:

\(\displaystyle X=\begin{bmatrix} 3\\ 2\\ 1 \end{bmatrix}\)

Therefore, the variable matrix \(\displaystyle X\) is:

\(\displaystyle X=\begin{bmatrix} 3\\ 2\\ 1 \end{bmatrix}\)

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

The correct choice is (B) The limit does not exist.

Theorem on Limits of Rational Functions:

The limit of a rational function f(x) as x approaches a is equal to the limit of its numerator divided by the limit of its denominator provided that the denominator does not approach zero.

x → a lim f(x) = lim [numerator of f(x)] / lim [denominator of f(x)]

If the limit of the denominator of the function approaches zero, the limit of the function can either not exist or be infinite.

If the limit of the numerator and denominator both equal zero or infinity, L'Hôpital's rule may be used to find the limit.

The given function is lim X 8 X-8  

Here, the denominator is x - 8.

Because the denominator approaches zero as x approaches 8, we must factor the numerator and cancel like terms as follows:

x - 8 = 0(x - 8) = 0x = 8

Therefore, the limit does not exist.

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A sample size of at least 150 is needed to achieve a 98% confidence interval with a margin of error of ±55 vehicles per hour.

We can use the t-distribution to construct a confidence interval for the population mean improvement in traffic flow. With a sample size of 50, the degrees of freedom are 50 - 1 = 49. Using a 95% confidence level, the critical value of t is 2.009. Therefore, the 95% confidence interval is:

653.5 ± 2.009 * (311.7 / sqrt(50))

= 653.5 ± 89.09

= (564.41, 742.59)

So, the 95% confidence interval for the improvement in traffic flow is (564.41, 742.59) vehicles per hour.

Using a 98% confidence level, the critical value of t for 49 degrees of freedom is 2.681. Therefore, the 98% confidence interval is:

653.5 ± 2.681 * (311.7 / sqrt(50))

= 653.5 ± 119.66

= (533.84, 773.16)

So, the 98% confidence interval for the improvement in traffic flow is (533.84, 773.16) vehicles per hour.

To find the necessary sample size, we can use the formula:

n = (z * σ / E)^2

where z is the critical value of the standard normal distribution, σ is the standard deviation of the sample, and E is the margin of error. For a 95% confidence interval with a margin of error of ±55, the value of z is 1.96. Substituting the given values, we get:

n = (1.96 * 311.7 / 55)^2

= 97.22

So, a sample size of at least 98 is needed to achieve a 95% confidence interval with a margin of error of ±55 vehicles per hour.

Using a 98% confidence level and a margin of error of ±55, the value of z is 2.33. Substituting the given values, we get:

n = (2.33 * 311.7 / 55)^2

= 149.33

So, a sample size of at least 150 is needed to achieve a 98% confidence interval with a margin of error of ±55 vehicles per hour.

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Answer: x  ≤ 4.5

Step-by-step explanation:

Since the inequality goes left and has a closed circle it would be x  ≤ 4.5

Answer: 4x√5

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Based on the information provided, the most accurate definition of science is the process of using different skills to create different scientific models.

This is a mathematical, conceptual, or physical representation of an idea or ideas, one or more processes and or events.

Modeling nature, events, and observable patterns help us to understand and predict them more in the larger environment.

There are at least three major types of scientific models. They are:

The correct answer, thus, is B) Using different skills to make models.

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Answer:

B) Using different skills to make models.

To find the length of a line segment using Pythagorean Theorem, you need to have two of its coordinates. Let's say we have the coordinates (x1, y1) and (x2, y2) for the endpoints of the line segment.

First, we need to find the difference between the x-coordinates and the y-coordinates of the two endpoints. So, we have:

Δx = x2 - x1

Δy = y2 - y1

Next, we can use the Pythagorean Theorem to find the length of the line segment, which states that the square of the length of the hypotenuse (the line segment) is equal to the sum of the squares of the other two sides (Δx and Δy). Therefore, we have:

Length of line segment = √(Δx² + Δy²)

This formula will give us the length of the line segment in the same units as the coordinates (e.g., if the coordinates are in meters, the length will be in meters).

So, to summarize, to find the length of a line segment using Pythagorean Theorem, we need to find the difference between the x-coordinates and y-coordinates of the endpoints, and then use the formula √(Δx² + Δy²) to calculate the length of the line segment.

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The average rate of change of y with respect to x over the interval [1, 5] for function \(y=4x^{2}\) is 24.

To find the average rate, follow these steps:

Therefore, the average rate of change of y with respect to x over the interval [1, 5] for the function \(y=4x^{2}\)  is 24.

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Answer:

12, or if its yearly, 48.

Answer:

\(\boxed {x > -0.91}\)

Step-by-step explanation:

Solve for \(x\) :

\(x + 5.39 > 4.48\)

-Subtract \(5.39\) on both sides:

\(x + 5.39 - 5.39 > 4.48 - 5.39\)

\(x > -0.91\)

So, therefore, the final answer is \(\boxed {x > -0.91}\).

Angle L can be calculated as follows:

angle L = angle - 180 LMO stands for angle. MNO \sangle L = 180 - 150 - 30 degree angle L = 0

As a result, angle L is 0 degrees.

1. We know that sides AB and CD of trapezoid ABCD are parallel. We can use the tangent function to find the length of side AD because angle B is a right angle and angle ABD is 45 degrees:

AD/AB = tan(45)

AD=AB * tan(45) AD=AB

As a result, AD = 10.

2. We know that the sides PQ and RS of the trapezoid PQRS are parallel. We can use the sine function to find the length of side PS because angle Q is a right angle and angle PSQ is 60 degrees:

PS/QS sin(60) =

PS = sin * QS (60)

5 * sqrt = PS (3)

As a result, PS = 5*sqrt (3).

3. We know that the sides UV and WX of a trapezoid UVWX are parallel. We can use the cosine function to find the length of side WU because angle V is a right angle and angle WVU is 30 degrees:

WU/UV cos(30) =

UV * cos WU (30)

5 * sqrt(3) / 2 = WU

As a result, WU = (5/2)*sqrt (3).

4. We know that the sides LM and NO of the trapezoid LMNO are parallel. We can use the sine function to find the length of side MO because angle L is a right angle and angle MNO is 30 degrees:

MO/NO sin(30) =

MO = 4 / 2 MO = NO * sin(30)

As a result, MO = 2.

Because angles MNO and LMO add up to 180 degrees, we can calculate angle LMO as follows:

LMO angle = 180 - angle LMO MNO angle = 150 degrees

Finally, because angle N is a right angle, we can calculate angle L as follows:

angle L = angle - 180 LMO stands for angle. MNO\sangle L = 180 - 150 - 30 degree angle L = 0

As a result, angle L is 0 degrees.

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Answer:

c. antibodies

Step-by-step explanation:

Antibody Functions

Attach to flagella of bacterium, restricting their movement. Multi-bind to many bacteria at once, causing them to accumulate and prevent movement around the body. Burst bacteria cell walls. Attach to bacteria, making it easier for phagocytes to ingest them.

Answer:

Even number will come 54 times

Answer:

\( {x}^{2} + 12x - 28 = 0\)

\((x + 14)(x - 2) = 0\)

x = -14, 2

Step-by-step explanation:

x 2+12x−28=0

(�+14)(�−2)=0

(x+14)(x−2)=0

x = -14, 2

Answer:

y = 4

Step-by-step explanation:

8(y + 4) - 2(y - 1) = 70 - 3y ← distribute parenthesis and simplify left side

8y + 32 - 2y + 2 = 70 - 3y

6y + 34 = 70 - 3y ( add 3y to both sides )

9y + 34 = 70 ( subtract 34 from both sides )

9y = 36 ( divide both sides by 9 )

y = 4

Answer:

108.73608

Step-by-step explanation:

Answer:

1. a. Middle volume of the three

2. b. Lowest volume of the three

3. c. Highest volume of the three

Step-by-step explanation:

First lets identify the formula to find the volume of a cylinder.

V = \(\pi\) r ^2 h

Now plug in the height and radius. h and r

V = \(\pi\) 4^2 10

Now start solving!

V = \(\pi\) 16 * 10

V = \(\pi\) 160

V= 160\(\pi\)

You don't really have to solve for pi here because your comparing but I'll do it anyway.

V = 502.654825

Simplify

V= 502.7

Now lets identify the formula for a sphere.

V = 4/3 \(\pi\) r^3

You need radius not diameter for this one [if you wanted to use diameter you can use the formula V= 1/6 \(\pi\) d^3 but I will show you radius].

r = d/2

r= 8/2

r=4

Plug it in

V = 4/3 \(\pi\) 4^3

Solve!

V = 4/3 \(\pi\) 64

V = 85.3333\(\pi\)

V = 268.082573

Simplify

V= 268.1

We can clearly see this is less than the cylinders volume so its not the highest volume.

Lastly, the cones formula.

V = \(\pi\) r^2 h/3

Plug in height and radius

V = \(\pi\) 8^2 10/3

V= \(\pi\) 64 * 3.3333

V = 213.3312\(\pi\)

V= 670.199731

V= 670.2

This is the greatest value out of all the volumes.

So from greatest to least:

Cone

Cylinder

Sphere

If you ever need anymore help don't be afraid to reach out! Hope that helps you!

Step-by-step explanation:

1.Read the Entire Word Problem.

2.Think About the Word Problem.

3.Write on the Word Problem.

4.Draw a Simple Picture and Label It.

5.Estimate the Answer Before Solving.

6.Check Your Work When Done.

7.Practice Word Problems Often.