Determine if the following function is even, odd, or neither.. . f(x) = –9x^4 + 5x + 3. Show step-by-step solution.

Answer:

\(x = p(m-n)\)

Step-by-step explanation:

m = n + \(\frac{x}{p}\)

Subtracting n to both sides

=> m-n = \(\frac{x}{p}\)

Multiplying p to both sides

=> \(x = p(m-n)\)

Answer:

x=p(m-n)

Step-by-step explanation:

m =n + x/p

x/p=m-n

x=p(m-n)

If the ratio of band members in group 1 to band members in group 2 is 1 to 3, then for every 3 band members in group 2, there will be 1 band member in group 1.Therefore, group 2 will have 11 band members.

Comparing two numbers or quantities results in a ratio. Usually, it is expressed in the form "a:b" or "a/b," with a and b standing for the two quantities under comparison. Contrarily, a percentage is an equation that states that two ratios are equal. Alternatively said, a proportion is a claim that one ratio is equal to another.

For example, if the ratio of apples to oranges in a basket is 2:3, this implies that there are three oranges per each two apples. We may alternatively state that the ratio of apples to total number of fruits in the basket is 2:5, because 2 + 3 = 5. The two ratios (2:3 and 2:5) are proportionate in this instance. Also, ratio of band members in group 1 to band members in group 2 to be 1 to 3

How to solve?

If the director wants to divide 44 band members into two groups, with this ratio, then the number of band members in group 2 will be 44 / (1 + 3) = 44 / 4 = 11 band members.

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According to the information, we can infer that A. 1: Real, Rational, Integer, Whole, Natural, B. 5.1: Real, Rational, C. √(-142): Non-real, D. \(\pi\) (Pi): Irrational, Real, E. 2/3: Rational, Real, F. ∛(-27): Non-real, G. 0.671: Real, Rational, H. 3√7: Irrational, Real, I. 0: Real, Rational, Integer, Whole, Natural, J. -√16: Real, Rational.

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Answer:

2:5

Step-by-step explanation:

Have a good day!

Answer:

6:10 but 3:5 simplified

(a) The ball is 3 feet high when it leaves the child's hand. (b) The maximum height of the ball is -249 feet. (c) The ball strikes the ground approximately 84.76 feet away from the child.

(a) When the ball leaves the child's hand, it means x = 0 because it hasn't traveled any horizontal distance yet. Substituting x = 0 into the equation, we get:

y = -1/21(0)² + 4(0) + 3

y = 0 + 0 + 3

y = 3 feet

Therefore, the ball is 3 feet high when it leaves the child's hand.

(b) To find the maximum height of the ball, we need to determine the vertex of the parabolic equation. The vertex of a parabola in the form y = ax² + bx + c is given by the formula:

x = -b / (2a)

In this case, a = -1/21 and b = 4. Substituting these values into the formula, we get:

x = -(4) / (2(-1/21))

x = -84/2

x = -42 feet

To find the maximum height, substitute x = -42 into the equation:

y = -1/21(-42)² + 4(-42) + 3

y = -1/21(1764) - 168 + 3

y = -84 - 168 + 3

y = -249 feet

Therefore, the maximum height of the ball is -249 feet. Note that the negative value indicates that the ball reaches a height of 249 feet above the child's hand.

(c)To find the distance from the child where the ball strikes the ground, we need to find the x-coordinate when y = 0. Set y = 0 in the equation and solve for x:

0 = -1/21x² + 4x + 3

To simplify the equation, let's multiply everything by 21 to eliminate fractions:

0 = -x² + 84x + 63

Rearranging the equation:

x² - 84x - 63 = 0

We can solve this quadratic equation by factoring or using the quadratic formula. However, in this case, the equation does not factor easily, so we'll use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

In our equation, a = 1, b = -84, and c = -63. Substituting these values into the formula, we get:

x = (-(-84) ± √((-84)² - 4(1)(-63))) / (2(1))

x = (84 ± √(7056 + 252)) / 2

x = (84 ± √7308) / 2

x = (84 ± 85.51) / 2

Simplifying further:

x = (84 + 85.51) / 2 or x = (84 - 85.51) / 2

x = 169.51 / 2 or x = -1.51 / 2

x = 84.76 feet or x = -0.76 feet

Since negative distance does not make sense in this context, the ball strikes the ground approximately 84.76 feet away from the child.

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h(x) = -7/6x - 25/6.

Given h(-1)=-2 and h(-7)=-9

For linear function h(x), we can use slope-intercept form which is y = mx + b, where m is the slope and b is the y-intercept.

To find m, we can use the formula: m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

h(-1) = -2 is a point on the line, so we can write it as (-1, -2).

h(-7) = -9 is another point on the line, so we can write it as (-7, -9).

Now we can find m using these points: m = (-9 - (-2)) / (-7 - (-1)) = (-9 + 2) / (-7 + 1) = -7/6

Now we can find b using one of the points and m. Let's use (-1, -2):

y = mx + b-2 = (-7/6)(-1) + b-2 = 7/6 + b

b = -25/6

Therefore, the linear function h(x) is:h(x) = -7/6x - 25/6

We can check our answer by plugging in the two given points:

h(-1) = (-7/6)(-1) - 25/6 = -2h(-7) = (-7/6)(-7) - 25/6 = -9

The answer is h(x) = -7/6x - 25/6.

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To find the values of the standard normal random variable z for the given probabilities, we can use a standard normal distribution table or calculator. A. P(z≤z0)=0.6997, z0=0.52. B. P(−z0≤z≤z0)=0.8026, z0=1.29. C. P(−z0≤z≤0)=0.4702, z0=-0.63. D. P(−1<z<z0)=0.159, z0=0.49

A. P(z≤z0)=0.6997

To find the value of z0 such that P(z≤z0) = 0.6997, we can use a standard normal distribution table or calculator. Looking up the value, we get z0 ≈ 0.52.

B. P(−z0≤z≤z0)=0.8026

To find the value of z0 such that P(−z0≤z≤z0) = 0.8026, we can use the symmetry property of the standard normal distribution. Since the probability is split equally on both sides of the mean, we can find the z-score that corresponds to a probability of (1-0.8026)/2 = 0.0987 on the left tail. Looking up this value, we get z ≈ -1.29. Therefore, z0 ≈ 1.29.

C. P(−z0≤z≤0)=0.4702

To find the value of z0 such that P(−z0≤z≤0) = 0.4702, we can use the symmetry property again. Since the probability is split equally on both sides of the mean, we can find the z-score that corresponds to a probability of (1-0.4702)/2 = 0.2649 on the right tail. Looking up this value, we get z ≈ 0.63. Therefore, z0 ≈ -0.63.

D. P(−1<z<z0)=0.159

To find the value of z0 such that P(−1<z<z0) = 0.159, we can subtract the probability of the left tail (P(z<-1)) from the total probability (0.159 + P(z<-1) = 1). Looking up the value of P(z<-1) in a standard normal distribution table, we get 0.1587. Therefore, the probability of the right tail (P(z<z0)) is 1 - 0.159 - 0.1587 = 0.6823. Looking up the z-score that corresponds to this probability, we get z0 ≈ 0.49.

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No, they should not adjust the parameters to weaken that character based on this sample alone.

To make a decision about adjusting the parameters of a character based on a test of significance, we need to determine if the observed outcome (winning 232 out of 400 contests) is unlikely to occur by chance alone, assuming the character's current parameters are the same. This is done by calculating a p-value, which represents the probability of observing a result as extreme or more extreme than the one we observed, assuming the null hypothesis is true (i.e., the parameters are the same).

If the p-value is very small (e.g., less than 0.05), we reject the null hypothesis and conclude that the observed outcome is unlikely to occur by chance alone and that the character's parameters may need to be adjusted. However, if the p-value is not small (e.g., greater than 0.05), we fail to reject the null hypothesis and conclude that the observed outcome is not statistically significant and that the character's parameters may not need to be adjusted.

In this case, we can calculate the p-value using a binomial test. The null hypothesis is that the probability of winning a contest is 0.5 (i.e., the character is equally likely to win or lose). The alternative hypothesis is that the probability of winning is less than 0.5 (i.e., the character is more likely to lose). Using a one-tailed binomial test with a significance level of 0.05, we find that the p-value is approximately 0.013, which is less than 0.05. Therefore, we reject the null hypothesis and conclude that the observed outcome is statistically significant and that the character's parameters may need to be adjusted.

However, it is important to note that this decision should not be based solely on this sample. It is possible that the sample is not representative of the true population of contests involving the character, and that a larger sample may lead to a different conclusion. Therefore, it is important to consider the context of the situation and gather additional information before making a final decision about adjusting the character's parameters.

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The 30-foot distance between single-family residences in the Desert Vista subdivision is called a "setback" in development terms.

This setback ensures that the neighborhood maintains adequate spacing between homes for privacy, safety, and aesthetics.

The distance between single-family residences in the new Desert Vista subdivision in Mesa is known as the "setback" in subdivision development terms.

Setbacks are regulations that define the minimum distance a building, such as a single-family residence, must be located from property lines or other structures.

These regulations ensure adequate spacing between buildings for various reasons, including privacy, safety, and aesthetics.
1. The student question mentions that the distance between single-family residences in the new Desert Vista subdivision in Mesa is 30 feet.
2. In subdivision development terms, such a distance is referred to as a "setback."
3. Setbacks are important for maintaining privacy, safety, and aesthetics in a neighborhood.
4. These regulations ensure that there is enough space between buildings, preventing overcrowding and allowing for proper ventilation, sunlight, and access to emergency services.
5. Setbacks vary depending on the type of structure and local zoning laws, which determine the minimum distance required between buildings.

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a. The missing probability value is 0.4.

b. E(X) = 1.4.

c. Var(X) = 0.56 and σx = 0.75.

d. E(Z) = 2.27, Var(Z) = 2.56, and σz = 1.60.

The given probability distribution of the random variable X shows the probabilities associated with each possible outcome. To find the missing probability value, we know that the sum of all probabilities must equal 1. Therefore, the missing probability can be calculated by subtracting the sum of the probabilities already given from 1. In this case, 0.1 + 0.2 + 0.3 = 0.6, so the missing probability value is 1 - 0.6 = 0.4.

To find the expected value or mean of X (E(X)), we multiply each value of X by its corresponding probability and then sum up the results. In this case, (0 * 0.1) + (1 * 0.2) + (2 * 0.3) + (3 * 0.4) = 0.4 + 0.2 + 0.6 + 1.2 = 1.4.

To calculate the variance (Var(X)) of X, we use the formula: Var(X) = Σ[(X - E(X))^2 * P(X)], where Σ denotes the sum over all values of X. The standard deviation (σx) is the square root of the variance. Using this formula, we find Var(X) = [(0 - 1.4)² * 0.1] + [(1 - 1.4)^2 * 0.2] + [(2 - 1.4)² * 0.3] + [(3 - 1.4)² * 0.4] = 0.56. Taking the square root, we get σx = √(0.56) ≈ 0.75.

Now, let's consider the new random variable Z = 1 + (2/3)X. To find E(Z), we substitute the values of X into the formula and calculate the expected value. E(Z) = 1 + (2/3)E(X) = 1 + (2/3) * 1.4 = 2.27.

To calculate Var(Z), we use the formula Var(Z) = (2/3)² * Var(X). Substituting the known values, Var(Z) = (2/3)² * 0.56 = 2.56.

Finally, the standard deviation of Z (σz) is the square root of Var(Z). Therefore, σz = √(2.56) = 1.60.

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The distance from -4 to 1 is 5 units.

The correct number line and expression to find the distance from -4 to 1 are:

Number line: -4 -3 -2 -1 0 1

Expression: |-4 - 1|

To find the distance, we subtract the smaller number (-4) from the larger number (1) and take the absolute value:

|-4 - 1| = |-5| = 5

Therefore, the distance from -4 to 1 is 5 units.

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Answer:

the answer of the sequence is a

Answer:

9/20 or 9:20 depending on how they want it written

Step-by-step explanation:

add pink and green cards [9] in relation to total cards [20]

We know that (A) ∠h = 28° as the angle pair ∠h and ∠I are alternate angles and hence they are equal.

The intersection of two parallel lines by a transversal produces alternate angles.

Because they are not additional angles, alternate angles often don't add up to 180 degrees, although they can if the transversal is perpendicular to the parallel lines.

So, by observing the figure we can easily state that:

∠h and ∠I are a pair of alternate angles and hence they must be equal.

So, according to this:

∠h = 28°

Therefore, we know that (A) ∠h = 28° as the angle pair ∠h and ∠I are alternate angles and hence they are equal.

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A reliable measure is one that (A) produces a consistent result if the same thing is measured twice.

Therefore, a reliable measure is one that (A) produces a consistent result if the same thing is measured twice.

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The correct question is given below:
A reliable measure is one that:

A) produces a consistent result if the same thing is measured twice.

B) measures what it was intended to measure.

C) predicts actual behavior.

D) co-varies with the independent variable.

The equation of the line after dilation is 2.5x - 5.5y = -5.5. So, the correct statement is: The equation of the dilated line is 2.5x - 5.5y = -5.5.

When the line representing the equation x + y = 3 is dilated by a scale factor of 2.5 with the center of dilation at (3, 0), the resulting line will have a different equation.

To find the equation of the dilated line, we need to apply the dilation to each point on the original line.

Let's consider a point (x, y) on the original line x + y = 3. After dilation, this point will be transformed to (2.5(x-3) + 3, 2.5y).

Simplifying the equation, we get:

2.5x - 5.5y = -5.5

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Answer:

4x-20

Step-by-step explanation:

2x + 2x =4x

10 + (-30) = -20

put it together!

4x-20

(i hope thats the answer form u were asking for) xoxo raina

Answer:

\(\huge\boxed{\sf 4x-20}\)

Step-by-step explanation:

\(\sf (2x+10)+(2x-30)\\\\Resolving \ Parenthesis\\\\= 2x+10+2x-30\\\\Combining \ like \ terms\\\\= 2x + 2x + 10-30\\\\= 4x -20\\\\\rule[225]{225}{2}\)

Hope this helped!

Answer:        我不知道你好

Step-by-step explanation:

Answer:

x=27

Step-by-step explanation:

expanding the above expression we get

5x+5=4x+32

grouping numbers with coefficient of x at the left side and constant at the right side we get

5x-4x=32-5

x=27

The probability of Maria succeeding is 0.2.

Probability is the branch of discrete mathematics. It is used for calculating how likely an event is to occur or happen.

P( E )   =   number of favourable outcomes / number of total outcomes  → 1

The results  from the 25 samples showing success in each of the 10 trial throws:

Maria succeeds fewer than 7 times i.e. 5 and 6 times for 0 + 5 = 5 outcomes.

The probability of Maria succeeding at fewer than 7 throws in a sample of 10 free throws,

Number of favourable outcomes   =   5        →   (i)

Number of total outcomes   =   25                →   (ii)

Substitute (i) and (ii) in 1,

P( E )   =   5 / 25

           =   1 / 5

P( E )    =   0.2

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The complete question is

The required expression gives the rate of change will be d'(5) at which the depth is changing at 5 minutes.

Let d(t) represent the depth of the rain puddle at any time t,

⇒ d(t)  ....(i)

The depth is changing with respect to time, which is given in the question

Differentiate equation (i) with respect to t and we get

⇒δd(t)/δt = d'(t) ....(ii)

This is the rate of change in depth unit time:

As per the question, the depth is changing at 5 minutes

Substitute the value of t=5 in equation (ii), and we get

⇒ d'(5)

Therefore, the required expression gives the rate of change will be d'(5).

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The extremum of the function f(x, y, z) = x² + y² + z² subject to the constraint 3x + y + z = 11 is a minimum located at (x, y, z) = (1, 2, 8).

To find the extremum of the function f(x, y, z) subject to the given constraint, we can use the method of Lagrange multipliers.

First, we define the Lagrangian function L(x, y, z, λ) as L(x, y, z, λ) = f(x, y, z) - λ(g(x, y, z)), where g(x, y, z) is the constraint function.

In this case, f(x, y, z) = x² + y² + z² and g(x, y, z) = 3x + y + z - 11.

Next, we calculate the partial derivatives of the Lagrangian function with respect to x, y, z, and λ, and set them equal to zero:

∂L/∂x = 2x - 3λ = 0

∂L/∂y = 2y - λ = 0

∂L/∂z = 2z - λ = 0

∂L/∂λ = g(x, y, z) = 3x + y + z - 11 = 0

Solving these equations simultaneously, we find that x = 1, y = 2, z = 8, and λ = -2.

Substituting these values back into the original function f(x, y, z), we obtain f(1, 2, 8) = 1² + 2² + 8² = 1 + 4 + 64 = 69.

Therefore, the extremum of the function is a minimum located at (x, y, z) = (1, 2, 8).

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The irrational numbers among these given are:

\(\sqrt{83}, 24\pi, 90.790170..., \sqrt{109}\)

The remaining numbers are all rational.

The irrational numbers in this problem are:

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Answer:

40⁰ C

Step-by-step explanation:

As long as the number is higher than 38⁰ C, it is a valid answer. as long as its not anything crazy like 111846284⁰ C. But anything around 40⁰ C would be a valid answer as long as the temperature is higher. mass doesn't matter. They are trying to trick you with the question lol

The electric potential, V, is 73.63 N and the magnitude of the electric field is 12.00 V/m.

The given electric potential is,V=2xy²z³+3ln(x²+2y²+3z²) N

The components of the electric field can be found as follows,

E=-∇V=- (∂V/∂x) i - (∂V/∂y) j - (∂V/∂z) k

(a) To determine the potential at P(3, 2, -1), substitute x=3, y=2, and z=-1 in the given potential,

V=2(3)(2²)(-1)³ + 3 ln [(3)²+2(2)²+3(-1)²]= 72.32 N

(b) The magnitude of the potential is given by,

|V|= √ (Vx²+Vy²+Vz²)

The electric potential, V, is a scalar quantity. Its magnitude is always positive. Therefore,

|V|= √ [(2xy²z³)² + (3ln(x²+2y²+3z²))²]= √ [(-72)² + (16.32)²]= 73.63 N

(c) To determine the electric field E at P(3,2,-1), find the partial derivatives of V with respect to x, y, and z, and then substitute x=3, y=2, and z=-1 to obtain Ex, Ey, and Ez.

Ex = -(∂V/∂x)= -2y²z³/(x²+2y²+3z²) = -4.8 V/m

Ey = -(∂V/∂y)= -4xyz³/(x²+2y²+3z²) = -10.67 V/m

Ez = -(∂V/∂z)= -6xyz²/(x²+2y²+3z²) = 5.33 V/m

Therefore, the electric field E at P(3,2,-1) is, E=Exi+Eyj+Ezk=-4.8 i - 10.67 j + 5.33 k

(d) The magnitude of the electric field is given by,

|E|= √ (Ex²+Ey²+Ez²)= √ [(4.8)²+(10.67)²+(5.33)²]= 12.00 V/m

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Answer:

y=(-1/12)x+(-13/12)

Step-by-step explanation:

Answer:

The first one (4^-1)^5 and the third one ( 1/4^-5)

Step-by-step explanation:

I hate IXL no cap lol Hope this helps ;)

Answer:1/4^-5

Step-by-step explanation:

Statistical conclusion validity is the extent to which inferences and conclusions drawn from statistical data are valid.

The main threat to statistical conclusion validity discussed in class is the potential for spurious correlations. This is when two variables appear to be related when in fact they are not.

Statistical conclusion validity is a measure of how valid the conclusions drawn from statistical data are. This is important because it allows us to draw valid inferences from the data. The main threat to statistical conclusion validity discussed in class is the potential for spurious correlations. This is when two variables appear to be related when in fact they are not. For example, a study may show that there is a correlation between ice cream sales and crime rate, when in fact it is merely a coincidence that both variables increase during the summer months. By controlling for other variables and using appropriate statistical tests, it is possible to identify and avoid spurious correlations.

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Answer:

We need 144 birthday candles do you need for the 12 parties.

Step-by-step explanation:

We are given that you are a caterer specializing in children's birthday parties. You have 12 birthdays to cater to next week. You must bake 2 cakes for each party. Each cake will have 6 candles on it.

And we have to find the birthday candles we need for the 12 parties.

AS it is stated that next week you have 12 birthday parties and for each birthday party you must bake 2 cakes.

This means that for 12 birthday parties you have to make = \(12 \times 2\) = 24 cakes.

Also, each cake has 6 candles on it. This means that the total number of candles for 24 cakes = \(24 \times 6\) = 144 candles.

Hence, we need 144 birthday candles for the 12 parties.

Answer:79°

Step-by-step explanation:

Given the 124° angle, the other angle formed by that line and the top side of the square must be 56°, as they are supplementary angles (they must add up to 180°). This means that the angle formed by that same line and the bottom side of the square is also 56° since it is a corresponding angle and the top and bottom sides of a square are parallel. The angle that a diagonal of a square forms with the sides of a square is always 45°.

So now we have a triangle (in red in my diagram) with angles of 45°, 56°, and x°. The sum of the angles of a triangle must always equal 180°, so we solve for x:

56 + 45 + x = 180

x = 180 - 56 - 45 = 79

So angle x must be 79°.