multiply (x^2+4x+2) (2x^2+3x-4)

Answer:

A. Yes

B. Yes

C. No

Here's what it would look like:

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: i can answer the first one but the second one i might get wrong

Step-by-step explanation:

for the first question answer B because external lights do not help unless it is dark, you need your battery to start the car and your fluids to keep the car running, your windshield's keep the raid and weather from entering your car as well as stopping you from flying out the window. Your mirrors help you keep track of whats behind you and showing you if you have enough space to turn.

now for the second question i would say in the manual of your car because every car has a manual to read on how to work the car/fix it

The equation of the line that has a slope of –5 and passes through (0, 1) will be y = –5x + 4.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The slope of the line is negative 5. Then the equation of the line is given as,

y = –5x + c

The equation of the line is passing through (0, 1), then the value of 'c' is calculated as,

1 = –5 (0) + c

c = 4

Then the equation that represents the line will be y = –5x + 4.

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Answer: -2/5

Step-by-step explanation: down 2 right 5

The standard form of the given equation is -k² + 7k

Quadratic Equation:

A quadratic equation is a quadratic polynomial in variables of type f(x) = ax2 + bx + c = 0, a, b, c, ε R and a ≠ 0. It is the general form of the quadratic equation. 'a' is called the principal coefficient and 'c' is called the absolute term of f(x). The value of x that satisfies a quadratic equation is the root (α, β) of the quadratic equation.

Standard Form of a Number:

A standard form is a way of writing certain mathematical concepts, such as equations, numbers, and formulas, in a form that follows certain rules. Standard forms are used to concisely represent very large or very small numbers. For example, 4.5 billion years is written as 4.5 billion years. As you can see here, writing a large number like 4.5 billion in its numeric form is not only ambiguous and time consuming, it can add or subtract a few zeros when writing in numeric form. There is a nature. In this case, writing the numbers in standard form can be very helpful. For example, 4,500,000,000 = 4.5 × 109 in normal form. You can write not only numbers but also fractions, equations, formulas, polynomials, etc. in standard form.

Now,

Given that:

c = k - 3

b = k² - 6k -3

Now,

C - B = k - 3 - (k² - 6k -3)

        = k - 3 - k² +6k + 3

        = k - k² + 6k

        = -k² + 7k

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The answer is: a. Yes, the forecast fails the bias test.

To determine whether the forecast fails the bias test, we need to compare the Average Error (AE) with zero.

If the AE is significantly different from zero, it indicates the presence of bias in the forecast. If the AE is close to zero, it suggests that the forecast is unbiased.

In this case, the Average Error (AE) is -2.0, which means that, on average, the forecast is 2.0 units lower than the actual values. Since the AE is not zero, we can conclude that there is a bias in the forecast.

Therefore, the answer is:

a. Yes, the forecast fails the bias test.

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If the corresponding sides of two triangles are proportional then the triangles are similar.

If the angles are the same size or the ratio of the corresponding sides is the same, two triangles are comparable. Either of these circumstances will demonstrate how similar two triangles are.

Similar triangles are those with the same form but different sizes. Examples of related objects are all equilateral triangles and squares with any side length. In other words, two triangles that are comparable have corresponding sides that are proportionately equal and corresponding angles that are congruent.

Hence, if the corresponding sides of two triangles are proportional then the triangles are similar.

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If the corresponding sides of two triangles are proportional, then the triangles are similar.

When the corresponding sides of two triangles are proportional, it means that the ratios of their side lengths are equal. This is a property of similar triangles. Similar triangles have the same shape but may differ in size.

If we have two triangles ABC and DEF, and the ratio of AB to DE is the same as the ratio of BC to EF, and the ratio of AC to DF, then the triangles are similar. This can be written as:

AB/DE = BC/EF = AC/DF

When two triangles are similar, their corresponding angles are also equal. This means that if angle A in triangle ABC is equal to angle D in triangle DEF, then angle B is equal to angle E, and angle C is equal to angle F.

Similar triangles have many applications in geometry, such as solving for unknown side lengths or angles using proportions, proving geometric theorems, and determining the scale factor between two figures.

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The composite figure can be decomposed into a triangle, a rectangle, and a semicircle to determine its area.

To decompose the composite figure and determine its area, we can break it down into simpler geometric shapes based on its components. In this case, the composite figure consists of a semicircle, a small rectangle, and a triangle.

We can decompose the figure as a triangle, a rectangle, and a semicircle. Here's how:

Triangle: The upper part of the figure is a triangle. Calculate its area using the formula A = (base * height) / 2, where the base and height are the appropriate measurements.

Rectangle: The small rectangle connects the semicircle to the triangle. Find its area by multiplying the length and width.

Semicircle: The bottom part of the figure is a semicircle. Calculate its area using the formula A = (π * r^2) / 2, where r is the radius of the semicircle.

Once you have determined the areas of each individual shape, add them together to find the total area of the composite figure.

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Answer:-2.3,11.,11.,-0.25 or  x2 - 10x - 25- -5

Step-by-step explanation:

u just go in a TI-nspire CX calculator and type in in how it looks

The differential equation that models this situation is dx/dt = kx(M - x) (option c).

To determine the differential equation that models the situation, let's analyze the problem statement.

The rate at which a person can memorize a list of M words is proportional to the product of the number of words memorized and the number of words that have not been memorized.

Let's denote the number of words memorized as "a" and the number of words not yet memorized as "M - a" (where M is the total number of words in the list).

The problem states that the rate of memorization is proportional to the product of "a" and "M - a". We can express this mathematically as:

Rate of memorization ∝ a * (M - a)

To convert this proportionality into an equation, we introduce a positive constant k:

Rate of memorization = k * a * (M - a)

The left side of the equation represents the rate of change of the number of words memorized (da/dt), and the right side represents the product of "a" and "M - a" multiplied by the constant k.

Therefore, the differential equation that models this situation is:

da/dt = k * a * (M - a)

Comparing this with the given options, we can see that the correct choice is option C:

dx/dt = k * x * (M - x)

The complete question is:

At any time t > 0 the rate at which a person can memorize a list of M words is proportional to the product of the number of words memorized and the number of words that have not been memorized. If a denotes the number of words memorized at time t, which differential equation models this situation? Assume k is a positive constant.

A. dx/dt = kx

B. dx/dt = kx(x - M)

C. dx/dt = kx(M - x)

D. dx/dt = kt(M - t)

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The total area of the solid figure is 90 square inches + 27sqrt(3) / 4 square inches.

To find the total area of the solid figure, we need to determine the areas of each face and then add them together.

The solid figure consists of a rectangular prism with dimensions 3" x 3" x 6" and a pyramid on top with an equilateral triangle base.

First, let's find the area of the rectangular prism. The rectangular prism has two identical square faces with side length 3" and four rectangular faces with dimensions 3" x 6". The total area of the rectangular prism can be calculated as:

Area of the square faces: 2 * (3" * 3") = 2 * 9 square inches

Area of the rectangular faces: 4 * (3" * 6") = 4 * 18 square inches

Total area of the rectangular prism: 2 * 9 + 4 * 18 = 18 + 72 = 90 square inches.

Next, let's find the area of the triangular pyramid. The base of the pyramid is an equilateral triangle with side length 3". The height of the pyramid is 3". The formula to find the area of an equilateral triangle is (sqrt(3) / 4) * (side length)^2. Plugging in the values, we have:

Area of the triangular pyramid: (sqrt(3) / 4) * (3" * 3") * 3" = (sqrt(3) / 4) * 9 * 3 = (sqrt(3) / 4) * 27 = 27sqrt(3) / 4 square inches.

Now, we can find the total area of the solid figure by adding the area of the rectangular prism and the area of the triangular pyramid:

Total area = Area of rectangular prism + Area of triangular pyramid

Total area = 90 square inches + 27sqrt(3) / 4 square inches.

Thus, the total area of the solid figure is 90 square inches + 27sqrt(3) / 4 square inches.

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Answer:

depends if it keeps going then it would be repeating since it is not it terminates(stops)

Step-by-step explanation:

Answer:

48:18:24 or ∠A = 48, ∠B = 18, ∠C = 24

Step-by-step explanation:

Since The angles of a triangle add up to 90, then 8 + 3 + 4 should equal to 90 if multiplied by x.

Example:

x(8 + 3 + 4) = 90

x(15) = 90

15/15x = 90/15

x = 6

If x is equal to 6, then 6 times 8, 6 times 3, and 6 times 4, should equal their respective angles and add up to 90.

Example:

8 * 6 = 48

3 * 6 = 18

4 * 6 = 24

48 + 24 + 18 = 90

This means the angles are

48:18:24 or ∠A = 48, ∠B = 18, ∠C = 24

Answer:

about 230lbs

Step-by-step explanation:

I think

The decrease in diameter of the bar due to the applied load is -0.005434905d and the final diameter of the bar is 1.005434905d.

A compressive load of 80,000 lb is applied to a bar with a circular section of 0.75 in diameter and a length of 10 in.

if the modulus of elasticity of the bar material is 10,000 ksi and the Poisson's ratio is 0.3.

We have to determine the decrease in diameter of the bar due to the applied load.

Let d be the initial diameter of the bar and ∆d be the decrease in diameter of the bar due to the applied load, then the final diameter of the bar is d - ∆d.

Length of the bar, L = 10 in

Cross-sectional area of the bar, A = πd²/4 = π(0.75)²/4 = 0.4418 in²

Stress produced by the applied load,σ = P/A

= 80,000/0.4418

= 181163.5 psi

Young's modulus of elasticity, E = 10,000 ksi

Poisson's ratio, ν = 0.3

The longitudinal strain produced in the bar, ɛ = σ/E

= 181163.5/10,000,000

= 0.01811635

The lateral strain produced in the bar, υ = νɛ

= 0.3 × 0.01811635

= 0.005434905'

The decrease in diameter of the bar due to the applied load, ∆d/d = -υ

= -0.005434905∆d

= -0.005434905d

The final diameter of the bar,

d - ∆d = d + 0.005434905d

= 1.005434905d

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Yes, Set K is a function.

To determine if Set K is a function, we need to check if for every x-value in Set K, there is a unique corresponding y-value.

Set K is defined as {(x, y) | x - y = 5}.

This means that any pair (x, y) in Set K must satisfy the equation x - y = 5.

To test if it is a function, we can consider two scenarios:

If we fix a value for x, is there a unique value for y that satisfies the equation x - y = 5?

If we fix a value for x, say x = 7, we can substitute it into the equation and solve for y:

7 - y = 5

-y = 5 - 7

-y = -2

y = 2

In this case, there is a unique value of y (y = 2) that satisfies the equation x - y = 5 when x = 7.

If we fix a value for y, is there a unique value for x that satisfies the equation x - y = 5?

If we fix a value for y, say y = 3, we can substitute it into the equation and solve for x:

x - 3 = 5

x = 5 + 3

x = 8

In this case, there is a unique value of x (x = 8) that satisfies the equation x - y = 5 when y = 3.

Since for every x-value in Set K, there is a unique corresponding y-value, and vice versa, we can conclude that Set K is indeed a function.

Therefore, Set K is a function.

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Answer:

D

Step-by-step explanation:

D

The given vector field is: F(x, y, z) = xi + yj + zk, the answer is 3.

The surface of the cube can be represented as: S = {x, y, z | x ∈ [0, 1], y ∈ [0, 1], z ∈ [0, 1]}

According to the Divergence theorem, we can write: ∫∫S F. n dS = ∫∫∫V (div F) dV

Now, we need to evaluate the divergence of the given vector field, F(x, y, z).

Let's evaluate the divergence of F: div F = (∂Fₓ/∂x) + (∂Fᵧ/∂y) + (∂Fₓ/∂z) = 1 + 1 + 1 = 3

Now, we have: ∫∫S F. n dS = ∫∫∫V (div F) dV= ∫∫∫V 3 dV= 3V

Where, V is the volume of the cube.

So, V = (1 - 0)(1 - 0)(1 - 0) = 1∴ ∫∫S F. n dS = 3V = 3 x 1 = 3

So the answer is: 3

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The correct option is D. Normal with mean 60 and a standard deviation of 2.

A sampling distribution is a probability distribution derived from taking numerous samples of a specific size from a population. The characteristics of the sampling distribution are determined by the sample size and how the samples are collected.

Standard deviation is the amount by which the observations in a dataset deviate from the mean. It is a measure of variability that reflects the degree to which data is spread around the mean.

The higher the standard deviation, the more spread out the data is.What is the formula for the standard deviation of a sampling distribution?σ_x = σ/√nWhere,σ_x is the standard deviation of the sampling distribution σ is the population standard deviationn is the sample size

To calculate the standard deviation of the sampling distribution, we must first identify the population standard deviation, which is 10 in this case, and the sample size, which is 25.σ_x = σ/√nσ_x = 10/√25σ_x = 2Therefore, the standard deviation of the sampling distribution is 2.

The mean of the sampling distribution is equal to the population mean, which is 60. Thus, the sampling distribution is normal with a mean of 60 and a standard deviation of 2.

Therefore, option D is correct.Normal distribution has a shape that is symmetrical and bell-shaped with a mean of 0 and a standard deviation of 1. The curve's tail will continue indefinitely in both directions.

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The correct answer is option D. Normal with mean 60 and a standard deviation of 2.

A random sample of size 25 is to be taken from a population that is normally distributed with a mean 60 and a standard deviation 10.

The average of the observations in our sample is to be computed.

The sampling distribution is Normal with a mean 60 and a standard deviation of 2.

What is the sampling distribution? When we take the average of a large number of samples drawn from a normally distributed population, the resulting distribution is referred to as a sampling distribution.

Because the population is normally distributed, the mean of the sampling distribution will be the same as the population mean, which is 60.

The standard deviation of the sampling distribution is determined by dividing the population standard deviation by the square root of the sample size, therefore the standard deviation of the sampling distribution is 2.

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Answer:

1/2

Step-by-step explanation:

2 x 1/2 = 1

6 x 1/2 =3

8 x 1/2 = 4

Hope It Helps

Answer:

1/2

Step-by-step explanation:

every Y is half of the X

Step-by-step explanation:

To multiply rational expressions, simply multiply the numerators together (the tops) and the denominators together (the bottoms).

For example:

\(\frac{x+a}{y+b}\times\frac{x+c}{y+d}\)

\(= \frac{(x+a)(x+c)}{(y+b)(y+d)}\)

\(=\frac{x^{2}+ax+cx+ac}{y^{2}+by+dy+bd}\)

To divide by a rational expression, multiply by its reciprocal.  In other words, flip the fraction, then multiply.

For example:

\(\frac{x+a}{y+b}\div\frac{x+c}{y+d}\)

\(=\frac{x+a}{y+b}\times\frac{y+d}{x+c}\)

\(=\frac{(x+a)(y+d)}{(x+c)(y+b)}\)

\(=\frac{xy+dx+ay+ad}{xy+bx+cy+bc}\)

Answer:

332.92 m

Step-by-step explanation:

A=πrl+πr2

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These are parallel and equal lines.

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Answer: 7^3/7^6= 1/343

Step-by-step explanation: We move 7^-6 to a denominator because we cannot have a negative exponent in the numerator.

So it would be 7^3/7^6

Which then would be 7*7*7/7*7*7*7*7*7

Which would equal 343/117649

Simplify and you get 1/343

Answer:

28.4615384615

28.46

Step-by-step explanation:

Answer:

28.46, if this help please subscribe to amiredagoat Yt i wanna change the world.

Step-by-step explanation:

The temperature approximation T = 36 sin[2π/365(t - 101)] + 14 in Fairbanks, Alaska, the amplitude is 36, the period is 365 days, and the phase shift is 101 days. The graph of T for 0 ≤ t ≤ 365 will have a sinusoidal shape with maximum and minimum points.

(a) To find the amplitude, period, and phase shift of the temperature approximation equation T = 36 sin[2π/365(t - 101)] + 14:

- The amplitude is the coefficient of the sine function, which is 36 in this case.

- The period is determined by the coefficient of t inside the sine function, which is 365 in this case.

- The phase shift is the value inside the sine function that determines the horizontal shift of the graph. Here, it is -101 since t = 0 corresponds to January 1.

To sketch the graph of T for 0 ≤ t ≤ 365, start by plotting points on a coordinate plane using various values of t within the given range. Connect the points to form a smooth curve, which will resemble a sinusoidal wave with peaks and troughs.

(b) The coldest day of the year can be predicted by determining when the sine function reaches its minimum value. Since the sine function is at its minimum when its argument (inside the brackets) is equal to -π/2 or an odd multiple of -π/2, we can set 2π/365(t - 101) equal to -π/2 and solve for t. This will give the day (t value) when the coldest temperature occurs during the year.

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