Determine the product. Write your answer in scientific notation. (15.4 × 102) · (2.8 × 10–4) = ?

Answer:

[tex] \frac{x - 9}{x - 8} [/tex]

Step-by-step explanation:

[tex] \frac{(x - 9)(x + 8)}{(x + 8)(x - 8)} [/tex]

[tex] \frac{x - 9}{x - 8} [/tex]

[tex]\cfrac{x^2-x-72}{x^2-64}\implies \cfrac{(x+8)(x-9)}{x^2-8^2}\implies \cfrac{(x-9)~~\begin{matrix} (x+8) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{~~\begin{matrix} (x+8) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~(x-8)}\implies \cfrac{x-9}{x-8}[/tex]

The prime polynomial, considering it's concept, is given as follows:

x² + 6.

A polynomial is called a prime polynomial if cannot be factored into a product of two or more polynomials of lower degree with integer coefficients.

The most common way to factor a polynomial into polynomials of lower degree is according to the Factor Theorem, when the roots of polynomial are obtained, and then the linear factors generated from these roots are multiplied.

For this problem, the polynomial x² + 6 has no real roots, as x² = -6 means that the roots are complex, hence it is the prime polynomial in the context of the problem.

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Answer: B.

Step-by-step explanation:

trust me on that one lol.:p

Answer:

Step-by-step explanation:

To establish the congruence of two triangles using the SAS (Side-Angle-Side) congruence rule, we need to know that two corresponding sides and the included angle are congruent.

In the given information, PQ = KL and RP = MK, but we do not know the measure of any included angle between the corresponding sides. Therefore, we need to know at least one angle that is congruent in both triangles to apply the SAS congruence rule.

Without additional information about an included angle, we cannot establish the congruence of triangle PQR and triangle KLM using the SAS congruence rule.

Answer:

slimer 16 goofy butt fart gamer setup

Step-by-step explanation:

Step-by-step explanation:

To find the ordered pair, you can use the elimination method to solve for one variable in terms of the other, and then substitute into one of the equations to solve for the other variable. Here's how:

First, multiply the first equation by 2 to get:

6x - 4y = 8

Then, add the second equation to this one to eliminate y:

6x - 4y + (-6x + 4y) = 8 + 7

Simplifying and solving for x, we get:

0x + 0y = 15

0 = 15

This is a contradiction, which means the system of equations has no solution. In other words, there is no ordered pair of (x,y) that satisfies both equations simultaneously.

Answer:

Step-by-step explanation:

The formula for the circumference of a circle is:

C = 2πr

where C is the circumference, π is pi, and r is the radius.

Substituting the given value of π = 3.142 and r = 4 cm, we get:

C = 2 x 3.142 x 4

C = 25.136 cm

Therefore, the circumference of the circle is 25.1 cm (rounded to 1 decimal place).

Answer:20$ per foot

Step-by-step explanation: just multiply the first cost(400) by the first foot amount(20) 400/20=20

The base of the parallelogram is 60.

How to find?

To find the base of a parallelogram, we need to know its area and height. The area of a parallelogram is given by the formula:

A = b × h

where A is the area, b is the base, and h is the height.

In this case, we are given that the area of the parallelogram is 60 square millimeters. We do not know the height of the parallelogram, so we cannot solve for the base directly.

However, we do know that the area of a parallelogram is equal to the product of its base and height. So, if we can find the height of the parallelogram, we can then use the formula to solve for the base.

To find the height, we can use the formula:

h = A / b

where A is the area and b is the base.

Substituting the given values, we get:

h = 60 / b

Now, we still do not know the value of the base, but we can use this expression for the height to set up an equation that relates the base and height of the parallelogram.

We know that the opposite sides of a parallelogram are parallel and have the same length, so the height of the parallelogram is perpendicular to the base. Therefore, we can draw a perpendicular line from the height to the base, dividing the parallelogram into two congruent triangles.

Each triangle has an area of A/2, and its base and height are b and h, respectively. Therefore, we can set up the following equation:

A/2 = bh/2

Substituting the expression for the height, we get:

A/2 = b(60/b)/2

Simplifying, we get:

A/2 = 30

Multiplying both sides by 2, we get:

A = 60 = bh

Now we have an equation that relates the base and area of the parallelogram. Substituting the given value for the area, we get:

60 = b × h

Substituting the expression for the height, we get:

60 = b × (60 / b)

Simplifying, we get:

60 = 60

This equation is always true, which means that any value of b that satisfies the condition for a parallelogram (i.e., opposite sides are parallel and have the same length) will work. Therefore, we cannot determine the value of the base without additional information.

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Answer:

Slope: -(4/3)
Y-intercept: 0

Answer: 43x43 units 1849 units^2

Answer:

The profit function can be expressed as:

Profit = Revenue - Cost

Revenue = Price x Quantity

Price = p = 450,000 - 100x

Quantity = x

Cost = C = 500/x + 200x + x²

Substituting these values, we get:

Profit = (450,000 - 100x) x - (500/x + 200x + x²)

Simplifying this expression, we get:

Profit = -x² + 450,000x - 500 - 200x² - x³

To find the quantity that gives maximum profit, we need to differentiate the profit function with respect to x and set it equal to zero:

d(Profit)/dx = -3x² + 450,000 - 400x - 500/x²

Setting this derivative equal to zero and solving for x, we get:

3x³ - 450,000x² + 400x³ + 500 = 0

This equation can be solved numerically to obtain:

x ≈ 98.9

To confirm that this is a maximum, we can check the second derivative of the profit function:

d²(Profit)/dx² = -6x + 800/x³

At x = 98.9, this evaluates to:

d²(Profit)/dx² ≈ -2.71

Since the second derivative is negative, the profit function has a maximum at x ≈ 98.9.

The maximum profit can be found by substituting this value of x into the profit function:

Profit ≈ $20,007,710

To find the selling price that maximizes profit, we can use the demand function:

p = 450,000 - 100x

At x = 98.9, this evaluates to:

p ≈ $35,110

Therefore, the corporation should sell its product for $35,110 to maximize profit.

Using Boyle's law, which is mathematically expressed as P1V1 = P2V2, the new pressure is calculated as: ​​c. 1.5 atm

Boyle's law states that the product of the pressure and volume of a gas is constant, assuming that the temperature remains constant. Mathematically, it can be expressed as:

P1V1 = P2V2

where P1 and V1 are the initial pressure and volume, and P2 and V2 are the final pressure and volume.

Using the given values, we can set up the equation as follows:

1 atm × 750 mL = P2 × 500 mL

Simplifying this equation, we get:

750 atm·mL = 500 P2

Dividing both sides by 500 mL, we get:

P2 = 750 atm·mL / 500 mL

P2 = 1.5 atm

Therefore, the new pressure is 1.5 atm.

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Answer:

x=1.5

Step-by-step explanation:

The voltage drop is the difference between the source voltage and the load voltage, which is 3V.

Voltage drop is the decrease of electric potential along the path of a current flowing in a circuit. Voltage drops in the internal resistance of the source, across conductors, across contacts, and across connectors are undesirable because some of the energy supplied is dissipated.

Voltage drop of the circuit conductors can be determined by multiplying the current of the circuit by the total resistance of the circuit conductors: VD = I x R.

The voltage drop can be calculated by subtracting the load voltage from the source voltage. In this case, the voltage drop is:

240V - 237V = 3V

Thus, the voltage drop is 3V.

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Wayne's mistake is that he omitted the parentheses around the two factors of 2x² and 8.

Parentheses, also known as round brackets, are punctuation marks that are used to contain related information within a sentence. They are most commonly used to set off additional information, such as a clarification or an example. Parentheses can also be used to indicate a digression from the main point of a sentence, or to indicate that something is not essential to the foundation of a statement. In addition, they can be used to indicate an interruption in a sentence, or to separate items in a list. Parentheses are also used to indicate a pause or an aside in dialogue.

The step should have been written as: 4x (2x² + (8)(2x+3)). This properly shows that 8 is being multiplied by the expression 2x+3, rather than being added to it.

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To find:-

Answer:-

We need to evaluate,

[tex]\implies s_4=\displaystyle \sum_{n=1}^{4} 2(3^{n - 1})[/tex]

Substituting n = 1 , 2 , 3 and 4 in [tex] 2(3^{n - 1})[/tex] and then adding them , we have;

[tex]\implies s_4 = 2(3^{1-1}) + 2( 3^{2-1})+2(3^{3-1})+2(3^{4-1}) \\[/tex]

Take out 2 as common,

[tex]\implies s_4 = 2 [ 3^0 + 3^1 + 3^2 + 3^3]\\[/tex]

[tex]\implies s_4 = 2 [ 1 + 3 + 9 + 27 ] \\[/tex]

[tex]\implies s_4 = 2 ( 40) \\[/tex]

[tex]\implies \underline{\underline{ s_4 = 80}} \\[/tex]

Hence the required answer is 80 .

and we are done!

Answer: The perimeter of a parallelogram is the sum of the lengths of all four sides. In this case, the perimeter is given as 69, so we can write:

EF + FG + GH + HE = 69

We know that opposite sides of a parallelogram are equal in length, so EF = GH and FG = HE. Substituting these into the equation above, we get:

2(EF) + 2(FG) = 69

2(GH) + 2(HE) = 69

Simplifying each equation:

2(2x+15) + 2(6x+4) = 69

4x + 30 + 12x + 8 = 69

16x + 38 = 69

16x = 31

x = 31/16

Substituting x into the equation for GH, we get:

GH = 2x+15

GH = 2(31/16) + 15

GH = 31/8 + 120/8

GH = 151/8

Therefore, the value of GH is 18.875 units.

Step-by-step explanation:

Answer:

63.81 inches

Step-by-step explanation:

Answer: 6.3

Step-by-step explanation:

Answer:

4.45

Step-by-step explanation:

5.2 + 7.4 ÷ 2 = 8.9 ÷ 2 = 4.45

Correct me if im wrong! Thank you!UwU

Addressing issue hand, we state that As a result, the linear equation likelihood of obtaining a mean temperature of 98.2 or lower is 0.0030, or approximately 0.003. up to get together with.

In algebra, a linear equation refers to one with its form y=mx+b. B is the gradient, and m is the esta. The preceding clause is commonly referred to as a "linear function with two variables" so even though y and x are variables. Bivariate linear equations are linear equations with two variables. There are several linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. When an equation seems to have the structure y=mx+b, where m is the slope and b is the y-intercept, it is said to be linear. When a measurement seems to have the formula y=mx+b, both with m identifying its slope and b denoting the y-intercept, it is said to be linear.

z = (64 - 63.6) / (2.5 / sqrt(150)) = 1.7889

P(Z > 1.7889) = 1 - P(Z < 1.7889) = 1 - 0.9633 = 0.0367

As a result, the probability of selecting 150 women at random with a mean height greater than 64 inches is 0.0367, or approximately 0.037. As a result, the answer is (B) 0.0250.

(x - mu) / (sigma / sqrt(n)) = z

where x represents the sample mean, mu represents the population mean, sigma represents the population standard deviation, and n represents the sample size.

When we substitute the given values, we get:

z = (98.2 - 98.6) / (0.62 / sqrt(106)) = -2.7465

The probability of getting a z-score less than -2.7465 using a standard normal distribution table is 0.0030. As a result, the likelihood of obtaining a mean temperature of 98.2 or lower is 0.0030, or approximately 0.003. up to get together with.

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