PLES HELP 25POINTS last guy was wrong I cant get it ples give full explanation too please help me!!!!!

Answer:

Part A)

\(300\leq 1.08(x-100)\leq 500\)

Part B)

\(377.78\leq x\leq 562.96\)

Nate wants the original price of the laptop to be between approximately $378 or $563.

Step-by-step explanation:

Part A)

Let's let x be the price of the new laptop.

Since the store is offering a $100 rebate (discount), this means that the total cost of the laptop before tax is:

\(x-100\)

So, the total price of the laptop after the 8% tax is:

\(1.08(x-100)\)

Since Nate is planning to spend between $300 and $500, this means that we can write the following compound inequality:

\(300\leq 1.08(x-100)\leq 500\)

Part B)

To find the range of the price of laptops, let's find the solution to our inequality.

To do so, let's solve them individually. So, let's first find our minimum price:

\(300\leq1.08(x-100)\)

Divide both sides by 1.08:

\(277.78\leq x-100\)

Add 100 to both sides:

\(377.78\leq x\)

So, Nate wants the laptop to be at least approximately $378.00.

Now, let's find our maximum price:

\(1.08(x-100)\leq 500\)

Divide both sides by 1.08:

\(x-100\leq462.96\)

Add 100 to both sides:

\(x\leq 562.96\)

So, Nate wants the maximum price of the laptop to be about $563.00.

So, our compound inequality is:

\(377.78\leq x\leq 562.96\)

This means that Nate wants the original price of the laptop to be between approximately $378 or $563.

And we're done!

Answer:

This would be the compound inequality formula for the given situation. This is because Nate is planning on spending somewhere between 300 and 500 dollars. Therefore the price (represented by the variable p) needs to be greater than or equal to 300 but at the same time less than or equal to 500. But this is after the rebate and sales tax have been calculated into the laptop's price. Which in this scenario, the rebate needs to be applied first and then the sales tax is applied after as 1.08 in order to apply the 8% onto the price itself.

Answer:

551

Step-by-step explanation:

500+6(4)+3(1)(5+4)

500+24+3(9)

524+27

551

Brainliest is much appreciated

Answer:

515, just evaluated it

Answer: 3.75 + - 7

Step-by-step explanation:

1.5x - 3 + 1.5x - 3 + 0.75x - 1

1.5x + 1.5x + 0.75x - 3 + - 3 + - 1

3.75x + - 7

Answer:

\(y=\frac{1}{2} x+1\)

Step-by-step explanation:

Hi there!

What we need to know:

1) Determine the slope (m)

Rewrite \(2x -4y =12\) in slope-intercept form. This will make it easier for us to identify the slope.

Slope-intercept form: \(y=mx+b\) where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

\(2x -4y =12\)

Subtract 2x from both sides to isolate -4y

\(2x -4y-2x =-2x+ 12\\-4y=-2x+ 12\)

Divide both sides by -4 to isolate y

\(-4y=-2x+ 12\\y=\frac{1}{2}x -3\)

Now, we can see clearly that \(\frac{1}{2}\) is in the place of m in \(y=mx+b\) , making it the slope of the line.

Because parallel lines have the same slopes, we know that the line we're determining will also have a slope of \(\frac{1}{2}\).

2) Determine the y-intercept (b)

Plug \(\frac{1}{2}\) into \(y=mx+b\)

\(y=\frac{1}{2} x+b\)

Plug in the given point (4,3)

\(3=\frac{1}{2} (4)+b\\3=2+b\)

Subtract 2 from both sides

\(3-2=2+b-2\\1=b\)

Therefore, the y-intercept (b) is 1. Plug this back into \(y=\frac{1}{2} x+b\)

\(y=\frac{1}{2} x+1\)

I hope this helps!

Answer:

x = 3 is not a function because, for one thing, its graph does not pass the vertical line test.

Answer:

81 square inches

Step-by-step explanation:

9*9 = 81

To find the area of a square, we multiply the length by its width

In this case, the length and width of the square area are both 9!

We know this becasue it says "each side of a square piece of cardboard is 9 inches long"

Now let's solve the problem

Area = L × W

Area = 9inches × 9inches

Area = 81 inches²

*I put the "²" above inches because any area of a square is just multiplying the same number by itself or ... in other words... "squaring it"

[ex: 9² = 9 × 9]

Given that AC is a diameter of the circle, we can conclude that triangle ABC is a right triangle, with AC being the hypotenuse. The area of the circle is not directly related to finding the lengths of BC or AB, so we will focus on the given information: AB = 16 units.

Using the Pythagorean theorem, we can find BC. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (AC) is equal to the sum of the squares of the other two sides (AB and BC):

AC² = AB² + BC²

Substituting the given values, we have:

(AC)² = (AB)² + (BC)²

(AC)² = 16² + (BC)²

(AC)² = 256 + (BC)²

Now, we need to find the length of AC. Since AC is a diameter of the circle, the length of AC is equal to twice the radius of the circle.

AC = 2 * radius

To find the radius, we can use the formula for the area of a circle:

Area = π * radius²

Given that the area of the circle is 2897 units², we can solve for the radius:

2897 = π * radius²

radius² = 2897 / π

radius = √(2897 / π)

Now we have the length of AC, which is equal to twice the radius. We can substitute this value into the equation:

(2 * radius)² = 256 + (BC)²

4 * radius² = 256 + (BC)²

Substituting the value of radius, we have:

4 * (√(2897 / π))² = 256 + (BC)²

4 * (2897 / π) = 256 + (BC)²

Simplifying the equation gives:

(4 * 2897) / π = 256 + (BC)²

BC² = (4 * 2897) / π - 256

Now we can solve for BC by taking the square root of both sides:

BC = √((4 * 2897) / π - 256)

To find the measure of angle BC (mBC), we know that triangle ABC is a right triangle, so angle B will be 90 degrees.

In summary:

BC = √((4 * 2897) / π - 256)

mBC = 90 degrees

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Answer:

1 solution is the answer

18 root

2

Step-by-step explanation:

In this question imagine there is no y

It will be 10 root2 +5 root2 +3 root 2 it will be 18 root 2

The graph of f(t) = cos^-1(t) will be a periodic function with a range limited to the interval [-1, 1]. Since the function is defined for the entire period, there are no discontinuities in this case. The graph of f(t) will resemble a curve that oscillates between -1 and 1, centered around the y-axis. The Fourier series for f(t) can be found by calculating the coefficients of the harmonics.

1. The function f(t) = cos^-1(t) has a limited range of [-1, 1] and is defined for the entire period.

2. Since there are no discontinuities, we don't need to apply the average value condition mentioned in (13).

3. To find the Fourier series of f(t), we need to calculate the coefficients for each harmonic term.

4. The general form of a Fourier series for a periodic function f(t) is given by:

  f(t) = a0 + Σ(an*cos(nωt) + bn*sin(nωt)), where ω is the angular frequency.

5. Since f(t) is an even function, the bn coefficients will be zero.

6. The constant term a0 can be found by taking the average of f(t) over one period, which is (2/π) multiplied by the integral of f(t) from -π to π.

7. The coefficients an can be calculated using the formula: an = (2/π) * integral of f(t)*cos(nωt) from -π to π.

8. Substitute the expression for f(t) = cos^-1(t) into the formula for an and integrate to find the values of an for each harmonic term.

9. The Fourier series of f(t) will then be the sum of the constant term a0 and the series of the an*cos(nωt) terms.

10. Sketch the graph of f(t) using the calculated Fourier series coefficients to visualize the function.

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The equation In(x+1) - In(x+2) = -1 does not have a simple algebraic solution. It requires numerical or graphical methods to find an approximate solution.

The equation In(x+1) - In(x+2) = -1 is a logarithmic equation involving natural logarithms. To solve it algebraically, we would need to simplify and rearrange the equation to isolate the variable x. However, in this case, it is not possible to solve for x algebraically.

To find an approximate solution, we can use numerical methods or graphical methods. One approach is to use a numerical solver or a graphing calculator to find the x-value that satisfies the equation. By plugging in various values for x and observing the change in the equation, we can estimate the solution.

Alternatively, we can plot the graphs of y = In(x+1) - In(x+2) and y = -1 on a coordinate plane. The solution will be the x-coordinate of the point where the two graphs intersect. This graphical method can provide an approximate solution to the equation.

In summary, the equation In(x+1) - In(x+2) = -1 does not have a simple algebraic solution. To find an approximate solution, numerical or graphical methods can be used to estimate the value of x that satisfies the equation.

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Answer:

$1349.75

Step-by-step explanation:

Use the equation for volume of a cylinder - pi * radius^2 * height

Halve the diameter to find the radius - 1.5 / 2 = 0.75 ft

Find the volume of the cylinder - pi * 0.75^2 * 30 = 53.0143760293 cubic feet or ft^3

Multiply volume by cost per cubic foot - 53.014... * 25.46 = 1349.746013706

Round to nearest cent = $1349.75

:)

The situation in which Shawn's activity will result in a final value of zero is Shawn travels east ten feet and then travels south ten feet. The correct option is D.

This is because when Shawn travels east ten feet, he moves horizontally to the right of his starting point. When he travels south ten feet after that, he moves vertically downwards from his previous position, cancelling out the horizontal movement he made earlier.

The displacement caused by Shawn's movement in the east direction is equal in magnitude but opposite in direction to the displacement caused by his movement in the south direction.

The net displacement of Shawn's movement is zero, and he ends up back at his starting point. Options A, B, and C do not involve any movements that result in a net displacement of zero.

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I got 9 7/9 by using a calculator

Answer:

75, 77

Step-by-step explanation:

Let the first odd number = 2x -1

Let the second odd number = 2x + 1

2x - 1 + 2x + 1 + 18 = 170           Combine like terms on the left.

4x + 18 = 170                             Subtract 18 from both sides.

4x = 170 - 18                             Combine like terms on the right

4x = 152                                     Divide by 4

4x/4 = 152/4

x = 38

2 * 38 - 1 = 75

2 * 38 + 1 = 77

The simplified expression is (-187.584x + 287.6672) / 6.8, which is equivalent to option A: -2.84x - 1.66.

To simplify the expression 5.3x - 8.14 / 3.6x - 9.8, we can first simplify the division by finding a common denominator for the fractions.

The common denominator for 3.6x and 9.8 is 3.6x * 9.8 = 35.28x.

Next, we can rewrite the expression using the common denominator:
5.3x * (35.28x/35.28x) - 8.14 * (35.28x/35.28x) / 3.6x * (35.28x/35.28x) - 9.8 * (35.28x/35.28x)

Simplifying further, we get:
(5.3 * 35.28x^2 - 8.14 * 35.28x) / (3.6 * 35.28x - 9.8 * 35.28x)

Now, we can simplify the numerator:
(187.584x^2 - 287.6672x) / (-6.8x)

Factoring out an x from the numerator, we have:
x(187.584x - 287.6672) / (-6.8x)

Finally, we can cancel out the x terms:
(187.584x - 287.6672) / -6.8

Therefore, the simplified expression is (-187.584x + 287.6672) / 6.8, which is equivalent to option A: -2.84x - 1.66.

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Answer:

b

Step-by-step explanation:

you need to round 2.51 to 3 because it was the correct answer

The expression for the age of Mary ann then years from now is m + 10.

A constant is a thing whose value is set for the circumstance at hand. The constant's value may not be known, but we do know that it is fixed. In general, constants are indicated by the letters a, b, c, p, q, etc. if their values are unknown or not given, and by particular numerical values (such 3,, etc.) if their values are known.

Let us suppose mary ann's age = m.

Let us suppose her sisters age = s.

Given that, Mary ann is two years younger than her sister.

That is,

m = x - 2

Ten years from now their age would be:

m + 10 = x + 10 - 2

m + 10 = x + 8

Hence, the expression for the age of Mary ann then years from now is m + 10.

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Answer:

14

Step-by-step explanation:

70/5 = 14

Answer:

2

Step-by-step explanation:

Thanks for the points Kiddo

Answer:

Step-by-step explanation:

Given f(x) = ln and g(x) = e^x + 1 to get  f(g(2))-g(f(e)), we need to first find the composite function f(g(x)) and g(f(x)).

For f(g(x));

f(g(x)) = f(e^x + 1)

substitute x for e^x + 1 in f(x)

f(g(x)) = ln (e^x + 1)

f(g(2)) = ln (e^2 + 1)

For g(f(x));

g(f(x)) = g(ln x)

substitute x for ln x in g(x)

g(f(x)) =  e^lnx + 1

g(f(x)) = x+1

g(f(e)) = e+1

f(g(2))-g(f(e)) = ln (e^2 + 1) - (e+ 1)

There are a total of 5040 different ways in which 7 files can be arranged in a file cabinet. This can be calculated by using the formula for permutation, which is n! / (n-r)!, where n is the total number of objects and r is the number of objects being arranged. In this case, n=7 and r=7, so the formula would be 7! / (7-7)!, which simplifies to 7! / 0!. Since 0! is equal to 1, the equation becomes 7!, which is equal to 5040.

To determine the number of different ways to arrange 7 files in a file cabinet, we need to consider the concept of permutations. A permutation is an arrangement of objects in a specific order.

Since there are 7 files, each file has a unique position in the cabinet. When you place the first file, you have 7 options. Once the first file is placed, you have 6 remaining options for the second file, 5 options for the third, and so on.

To calculate the total number of arrangements, we multiply the number of options for each position together:

7 (options for 1st file) × 6 (options for 2nd file) × 5 (options for 3rd file) × 4 (options for 4th file) × 3 (options for 5th file) × 2 (options for 6th file) × 1 (option for 7th file)

This is equal to 7! (7 factorial) which equals:

7 × 6 × 5 × 4 × 3 × 2 × 1 = 5,040

So, there are 5,040 different ways to arrange the 7 files in the file cabinet.

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Answer:

x^2 - (11/2)x + 121/16 = -7

Step-by-step explanation: