ark found a shirt on sale for 25% off. When he brought it to the register, he discovered that all items in the store were on sale for an additional 20% off. He wrote this expression to represent the final cost of the shirt based on the original price, p. (1−0.2)(1−0.25)p When Mark simplifies this expression, what can he conclude about the sale price of the shirt?

Answer:

The correct answer is "As the x-values go to positive infinity the function's value go to positive infinity".

Step-by-step explanation:

If we start analyzing this function at a value of x that is really small, which would be close to negative infinity and we increase the value of x, we will notice that the y-value will also increase. Therefore if we go far into the left, that is, we apply minus infinity to the function we will receive an output that is equal to minus infinity. When the value of x approach 0, the value of the function also approaches 0. Finally when we go far into the right, to positive infinity the function will also go to infinity. Therefore the correct answer is "As the x-values go to positive infinity the function's value go to positive infinity".

Answer:  the answer is 20"

Step-by-step explanation:

The population of the town in 5 years will be approximately 28,982.

A data pattern known as exponential growth exhibits faster expansion over time. Compounding generates exponential profits in finance. Exponential growth is possible in savings accounts with a compounding interest rate. Compound returns in finance lead to exponential development. One of the most potent forces in finance is the power of compounding. With the help of this idea, investors may generate sizable sums with little start-up money. Compound interest savings accounts are typical instances of exponential development.

Given that, population of a town increases by 3% each year.

The population after 5 years is calculated by:

Population in 5 years = Initial population x (1 + rate) raised to time.

That is,

Population in 5 years = 25,000 x (1 + 0.03)⁵

Population in 5 years = 25,000 x 1.159274

Population in 5 years = 28,981.85

Hence, the population of the town in 5 years will be approximately 28,982.

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The variables examined in the study show the number of hospital visits for cooking-related knife injuries and their frequency during major holidays. The data compiled from emergency departments shows that there is a significant increase in the number of hospital visits for such injuries around major holidays.

This suggests that there may be a correlation between the holidays and the use of knives in cooking, possibly due to increased meal preparation and cooking during these times. Other variables that could be examined in further studies include the types of knives and cooking equipment used, the types of foods being prepared, and the demographics of those who sustain these injuries.

Variables refer to any characteristic, quantity, or attribute that can be measured and that can fluctuate or vary. Variables are of two types:

An independent variable is one that is thought to influence the dependent variable, which is the characteristic or response that is being measured.

The variables examined in the study indicate that the number of hospital visits for cooking-related knife injuries increases around major holidays. This implies that there is a direct relationship between cooking and knife injuries on major holidays. As a result, measures must be put in place to reduce the risk of knife injuries during the holidays. This includes the creation of awareness campaigns and the promotion of safety in the kitchen.

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Answer:

3a^3 + 2a^2+a

Step-by-step explanation:

if two angles are vertical what is the m = 28.

What a vertical angle?

if two angles are vertical

Then

m 2x+7= m

4x-14=m

So,

         2x+7 = 4x - 14

          4x - 2x = 14 + 7

           2x = 21

            x = 21/2

put value of x

2x+7= m ⇒  2 × 21/2 + 7

               = 21 + 7 = 28

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Answer:

Last option) 3

Step-by-step explanation:

For having no real solutions, discriminant of this equation must be be less than 0.

D=\(\sqrt{b^{2}-4ac }<0\)

b²-4ac<0

b²<4ac

b²/4a<c

c>b²/4a

c>\(\frac{(-4^{2} )}{8}\)

c>16/8

c>2

Answer:

t=-3

Step-by-step explanation:

2x²-4x-t=0

disc=b²-4ac=(-4)²-4×2×(-t)=16+8t

it has no solution if 16+8t<0

8t<-16

t<-2

so t=-3

2.

\(\sqrt{x-a} =x-4\\if a=2\\\sqrt{x-2} =x-4\\squaring\\x-2=x^2-8x+16\\x^2-9x+18=0\\\)

x²-6x-3x+18=0

x(x-6)-3(x-6)=0

(x-6)(x-3)=0

x=6,3

when x=6

√(6-2)=6-4

√4=2

2=2

when x=3

√(3-2)=3-4

√1=-1

1=-1

which is not true.

Hence x=3 is an extraneous solution.

x=6 is real solution.

The connection string for SQL Server using Windows Authentication is as follows:

Server=myServerAddress;Database=myDataBase;Trusted_Connection=True;

Specify the server address in the format "Server=myServerAddress". Replace "myServerAddress" with the name or IP address of the SQL Server instance you want to connect to.

Specify the name of the database you want to connect to in the format "Database=myDataBase". Replace "myDataBase" with the name of the database.

Use Windows Authentication by setting "Trusted_Connection=True". This means that the user running the application is authenticated using their Windows credentials, rather than a SQL Server login.

Use semicolons (;) to separate the different parts of the connection string.

Using Windows Authentication is a more secure and convenient way to connect to a SQL Server database, as it eliminates the need to store and manage login credentials in the application.

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Answer:

Length = 2w + 7

Step-by-step explanation:

Length = 2w + 7

Twice the width = 2w (assuming w=width)

7 more = add 7

The portfolio beta is a measure of the systematic risk of a portfolio relative to the overall market. In this case, if you invest 35% in Stock A with a beta of 0.92, 35% in Stock B with a beta of 1.21, and 30% in Stock C with a beta of 1.35.

To calculate the portfolio beta, we multiply each stock's beta by its corresponding weight in the portfolio, and then sum up these values. In this case, the portfolio beta can be calculated as follows:

Portfolio Beta = (0.35 * 0.92) + (0.35 * 1.21) + (0.30 * 1.35) = 0.322 + 0.4235 + 0.405 = 1.15

Therefore, the portfolio beta is 1.15. This means that the portfolio is expected to have a systematic risk that is 1.15 times the systematic risk of the overall market. A beta of 1 indicates that the portfolio's returns are expected to move in line with the market, while a beta greater than 1 suggests higher volatility and a higher sensitivity to market movements.

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Answer:

B is correct.

Step-by-step explanation:

Quadratic Expression (Standard Form) is:

\( \displaystyle \large{a {x}^{2} + bx + c}\)

To say it simply, the expression must have 2 as the highest degree.

This means that if there are any higher or lower degrees than 2 then they are not quadratic expression.

A choice is not quadratic expression because it has 1 as the highest degree.

B choice is correct because 2 is the highest degree.

C choice is wrong because 3 is the highest degree.

D choice is wrong because it is not a polynomial.

Therefore, B is correct.

The quantity of pianos that the truck will be able to carry would be = 11 pianos

Weight is defined as the total amount of matter that is contained in an object which is measured in Kilograms, grams of pounds(Ibs).

The weight of goods that the truck can carry generally= 7700 Ibs.

The weight of each refrigerator = 250 lbs

The weight of each piano = 475 Ibs.

The total weight of both items = 725 Ibs

The weight of piano that makes up the weight of truck;

= 475/725 × 7700/1

= 3657500/725

= 5,045

To find the number of pianos is as follows:

= 5,045/475

= 11 ( approximated to the nearest whole number)

Therefore, nine pianos won't overload the truck..

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The first term on the left-hand side represents the flux of the quantity D(pu δ) across the cell boundaries, and the second term represents the change of this flux within the cell.

To integrate the 1D steady-state convection-diffusion equation over a typical cell, we can start with the given equation:

D/dx(pu δ) = d/dx (rd δ/dx)

Here, D is the diffusion coefficient, p is the velocity, r is the reaction term, u is the concentration, and δ represents the Dirac delta function.

To integrate this equation over a typical cell, we need to define the limits of the cell. Let's assume the cell extends from x_i to x_i+1, where x_i and x_i+1 are the boundaries of the cell.

Integrating the left-hand side of the equation over the cell, we have:

∫[x_i to x_i+1] D/dx(pu δ) dx = D∫[x_i to x_i+1] d(pu δ)/dx dx

Using the integration by parts technique, the integral can be written as:

= [D(pu δ)]_[x_i to x_i+1] - ∫[x_i to x_i+1] d(D(pu δ))/dx dx

Similarly, integrating the right-hand side of the equation over the cell, we have:

∫[x_i to x_i+1] d/dx (rd δ/dx) dx = [rd δ/dx]_[x_i to x_i+1]

Combining the integrals, we get:

[D(pu δ)][x_i to x_i+1] - ∫[x_i to x_i+1] d(D(pu δ))/dx dx = [rd δ/dx][x_i to x_i+1]

This equation can be further simplified and manipulated using appropriate boundary conditions and assumptions based on the specific problem at hand.

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71 more bushels of corn will Nathaniel have if each uses 40 ears of corn as his measurement than if he uses 60 ears of corn as his measurement.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Nathaniel has 8,640 ears of corn.

First, the bushel have 40 ears of corn then number of bushels required

= 8460/40

= 212

Second, the bushel have 60 ears of corn then number of bushels required

= 8460/60

= 141

So, the difference is = 212- 141 = 71

Hence, 71 more bushels of corn will Nathaniel have in comparison.

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Answer:

20 is the answer

Step-by-step explanation:

x+3x+10=90(right angle triangle)

4x=90-10

x=80/4

x=20°

Answer:

x = 20

Step-by-step explanation:

Based on the square indication at the corner of the angle, we can assume it's a right angle, so 90°. This means that x + 3x + 10 = 90. Solve it like any algebraic equation, isolating x. add x to 3x + 10, this would net you 4x + 10 = 90. Subtract 10 on both sides of the equation to further isolate x, meaning 4x = 80. Simplify this, dividing 4 on both sides, meaning x = 20.

There is no base number that satisfies the given equations, because none of the equations are correct.

The correct equations are:

(a) 12 × 4 = 48(b) 24 × 17 = 408

(c) 375 ÷ 3 = 125(d) 2^7.

3 is not equal to 3.6(e) (x^2 - 13x + 32) = (x - 5)(x - 8)

Therefore, x = 5 or x = 8.

To find the value of 2^7.3 on a calculator, you would use the exponent function.

For example, on a standard calculator, you would enter 2, then press the exponent key (^), then enter 7.3, and press equals.

This will give you an answer of approximately 128.22.

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The probability that the sample mean would differ from the true mean by less than 5.4 months is approximately 1.0000 or 100%.

We are given the following information:

1. The mean life of a television set (µ) is 138 months.
2. The variance (σ²) is 324 months.
3. We have a sample of 83 televisions (n).
4. We want to find the probability that the sample mean (X) differs from the true mean by less than 5.4 months.

First, let's find the standard deviation (σ) by taking the square root of the variance:
σ = √324 = 18 months

Next, we'll find the standard error (SE) using the formula SE = σ / √n:
SE = 18 / √83 ≈ 1.974

Now, let's find the Z-score corresponding to the desired difference of 5.4 months:
Z = (5.4 - 0) / 1.974 ≈ 2.734

Using a Z-table or calculator, we find the probability corresponding to Z = 2.734 is approximately 0.9932. Since we're looking for the probability that the sample mean differs from the true mean by less than 5.4 months, we need to consider both tails of the distribution (i.e., the probability of the sample mean being 5.4 months greater or 5.4 months lesser than the true mean). So, we need to calculate the probability for -2.734 as well, which is 1 - 0.9932 = 0.0068.

Finally, we'll add the probabilities for both tails to get the answer:
P(-2.734 < Z < 2.734) = 0.9932 + 0.0068 = 1.0000

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The students who identified a function are given as follows:

Charlotte, Sofia, Nathan, Abby.

A relation represents a function when each input value is mapped to a single output value.

Then the students that did not identify function in this problem are listed and explained as follows:

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Answer: {E,G,E}

Step-by-step explanation:

i just did it

Answer:

6.15555555556

Step-by-step explanation:

the 5 is infinite in 6.15 such as 6.155555555 it does not stop 

Answer:

b b

Step-by-step explanation:v gv g

Accοrding tο the prοvided assertiοn, the value οf x is 4.5.

An equilateral triangle has three edges that are all the same length.

In ΔABC

∠B = 90

ABC represents a right angle triangle.

Nοw, apply Pythagοras' theοrem;

(AC)² = (AB)² + (BC) (BC)

(2+x)² = (AB)² +(BC) (BC)

Nοw, in ABCD,

∠D = 90

ABCD is a right-angled triangle.

(AB)² = (AD)² + (BD)².

(AB)² = (2)² + (3) (3)

(AB)² = 4+9

(AB)² = 13..............(2) (2)

Currently, in a BDC;

∠D = 90

(BC)² = (BD)² + (CD)²

(BC)² = (3)² + (x) (x)

(BC)² = x² +9............(3) (3)

Nοw enter the equatiοn (1)

(AB)² = 13

(BC)² = x² + 9

∴ (2 + x) ² = (AB)² + (BC)²

(2 + x)² = 13 + x² + 9

4 + x² + 4x = 13 + x² +9

4x = 18

x = 4.5

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The number are 1/4 π and \(\sqrt[3]{9}\) are irrational number.

It is required to choose the numbers are irrational.

Real numbers are numbers that include both rational and irrational numbers. Rational numbers such as integers (-2, 0, 1), fractions(1/2, 2.5) and irrational numbers such as √3, π(22/7), etc., are all real numbers.

Given that:

The given option are

-2.3456 =-23456/10000

since, -2.3456 can be represented as rational numbers.

π is an infinite decimal, so it cannot be expressed as a rational number.  

So, 1/4 π is irrational number.

\(\sqrt[3]{9}\) is an irrational number.

2 + √16=2+4= 6 is a rational number.

Therefore, the number are 1/4 π and \(\sqrt[3]{9}\) are irrational number.

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So f is concave up on the interval [0, π] and concave down on the interval (π, 2π].

To determine where f is concave up or down, we need to find the second derivative of f and then analyze its sign. We start by finding the first derivative of f using the chain rule:
f'(x) = -sin(x)/(2 + cos(x))
Next, we find the second derivative of f by differentiating f'(x):
f''(x) = [-cos(x)(2+cos(x)) + sin^2(x)]/(2+cos(x))^2
To find where f is concave up or down, we need to analyze the sign of f''(x). Let's start with where f is concave up:
f''(x) > 0
[-cos(x)(2+cos(x)) + sin^2(x)]/(2+cos(x))^2 > 0
We can simplify the numerator by using the identity sin^2(x) + cos^2(x) = 1:
[1-cos^2(x)-cos(x)]/(2+cos(x))^2 > 0
(-cos^2(x)-cos(x)+1)/(2+cos(x))^2 > 0
Now we can factor the numerator:
[-(cos(x)+1)(cos(x)-1)]/(2+cos(x))^2 > 0
We have two factors: (cos(x)+1) and (cos(x)-1). We need to look at where each factor is positive or negative. Let's start with (cos(x)+1):
cos(x)+1 > 0
cos(x) > -1
This is true for all x, so (cos(x)+1) is always positive. Now let's look at (cos(x)-1):
cos(x)-1 > 0
cos(x) > 1
This is never true, so (cos(x)-1) is always negative. Therefore, the sign of f''(x) is determined by the sign of (cos(x)-1), which is negative for 0 ≤ x ≤ π and positive for π < x ≤ 2π.

So f is concave up on the interval [0, π] and concave down on the interval (π, 2π].

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Value of x for the given expression x√2 + 3 = -2 is equal to (- 5√2)/2.

As given in the question,

Given expression is equal to :

x√2 + 3 = -2

Simplify the given expression x√2 + 3 = -2 to get the value of x we have,

x√2 + 3 = -2

Subtract 3 from both the side of the given expression we get,

x√2 + 3 - 3 = -2 - 3

⇒ x√2 + 0 = -5

Divide by √2 from both the side of the expression,

x√2/√2= -5/√2

⇒x = -5/√2

Multiply and divide by √2 on right-hand side we get

⇒ x = -5√2/ (√2×√2)

⇒ x= -5√2/2

Therefore, value of x for the given expression x√2 + 3 = -2 is equal to

(- 5√2)/2.

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Answer:

36π

Step-by-step explanation:

Volume = 4/3πr³

V=4/3π(3)³

V= 36π

Answer:

36π in³

Step-by-step explanation:

The volume of a sphere is:

\(\displaystyle{V = \dfrac{4}{3}\pi r^3}\)

where r represents the radius. We are given the diameter of 6 inches, and a half of a diameter is the radius. Hence, 6/2 = 3 inches which is our radius. Therefore,

\(\displaystyle{V = \dfrac{4}{3}\pi \cdot 3^3}\\\\\displaystyle{V=4\pi \cdot 3^2}\\\\\displaystyle{V=4\pi \cdot 9}\\\\\displaystyle{V=36 \pi \ \ \text{in}^3}\)

Hence, the volume is 36π in³

Answer:

9

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

39 - 30 = 9