4. State the number of positive real zeros for the polynomial
f(x) = x3 + 4x2 + x + 5.
A. 1
B. 0
C. 3
D. 2

Answer:

15% of (£80) =

£12

Step-by-step explanation:

Answer: To do so, reflect it on the Y axis and then move it 4 times.

Step-by-step explanation:

The value of Kp for the reaction is 0.80.

The equilibrium constant Kp for the reaction is given by:

\(Kp = (Pb)^2 / Pa\)

where Pa is the partial pressure of a, and Pb is the partial pressure of b.

At the start of the reaction, only a is present, so Pb = 0. At equilibrium, the partial pressure of a is 0.20 atm, and since two moles of b are produced for each mole of a that reacts, the partial pressure of b is 2 times the partial pressure of a, or 0.40 atm.

Therefore, we can plug in these values to find Kp:

\(Kp = (Pb)^2 / Pa = (0.40)^2 / 0.20 = 0.80\)

So the value of Kp for the reaction is 0.80.

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The alpha level for each hypothesis test made on the same set of data is called B. experimentwise alpha

When numerous suppositions are examined concurrently, the likelihood of committing at least one type I mistake grows.

In order to manage the probability of erroneously rejecting the null hypothesis in all tests, scientists usually modify the alpha level for each test, with the purpose of maintaining an experimentwise alpha that reflects the probability of making a type I error in the entire set of tests.

The Bonferroni procedure is a technique utilized to regulate the experimentwise error rate by adjusting the alpha level for each hypothesis test.

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Answer:

Fraction of pieces served = \(\frac{2}{3}\)

Step-by-step explanation:

Total number of slices in pan one = 6 pieces

Total number of slices in pan two = 8 pieces

Further to get equal number of pieces of past in both the pans we will find the LCM of the pieces on both the pans.

LCM of 6 and 8 = 24

So to have the equal number of pieces on both the pans she will divide the pasta into 24 pieces.

If she served 16 pieces from the pan 1,

Fraction of pieces served from first pan

= \(\frac{\text{Number of pieces served}}{\text{Total number of pieces on pan 1}}\)

= \(\frac{16}{24}\)

= \(\frac{2}{3}\)

The system of linear equation for the graph are: y = -1/3x + 3 and y = 3x - 7.

A system of linear equation is a combination of two linear equation. Each linear equation is made of algebraic equation that consists of variables, constant, and arithmetic operation.

To determine the linear equation on the graph, we need to find two points on the each line on the graph and determine the slope-intercept form.

For the first decreasing line to the left, we have the two points

(0, 3)(9,0)

Using the slope intercept form y = mx + b. The linear equation for the first line is: y = -1/3x + 3

For the second increasing line to the right, the two points are:

(3,2)(0,-7)

The linear equation for the second line is:

y = 3x - 7

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The Excel feature that has been updated to let you simultaneously view as many as six statistics about a cell selected in the work area is called the "Quick Analysis Tool."

This tool was first introduced in Excel 2013 and has since been updated in later versions of Excel.

To use the Quick Analysis Tool, simply select the cell or range of cells that you want to analyze. Once selected, a small icon will appear in the bottom right corner of the selection.

Clicking on this icon will open up a menu of options, including formatting, charts, totals, tables, and sparklines.

The "totals" option is where you can find the six statistics about the selected cell or range of cells. These statistics include average, count, numerical count, maximum, minimum, and sum.

By selecting this option, Excel will automatically calculate these statistics and display them in a small table next to your selection.

This feature is particularly useful for quickly analyzing data without having to manually calculate each statistic. It also allows you to easily compare multiple cells or ranges of cells by displaying their statistics side by side.

In addition to the Quick Analysis Tool, Excel also has several other features for analyzing data, including PivotTables and PivotCharts. These tools allow you to summarize and visualize large amounts of data in a variety of ways.

Overall, the Quick Analysis Tool is a powerful and convenient feature that can save time and improve productivity when working with data in Excel.

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Answer:

the answers would be: A, C, and E

Step-by-step explanation:

Answer:

A,C,E Are the answers

Step-by-step explanation:

Its a,c,e because 5.40 divided by 2 gallons is 2.70. Its C because 3.38 divided by 1.25 gallons is 2.70. Its E because 2.03 divided by 0.75 is 2.70.

a) Analytical solution: y(t) = (1.5e^t + 1)^(1/3) b) Numerical solution using fourth-order R-K-M with h=0.2: Iteratively calculate y(t) for t = 0 to t = 2 using the given method and step size.

a) Analytically:

To solve the initial value problem analytically, we can separate variables and integrate both sides of the equation.

dy/(yt³ - 1.5y) = dt

Integrating both sides:

∫(1/(yt³ - 1.5y)) dy = ∫dt

We can use the substitution u = yt³ - 1.5y, du = (3yt² - 1.5)dt.

∫(1/u) du = ∫dt

ln|u| = t + C

Replacing u with yt³ - 1.5y:

ln|yt³ - 1.5y| = t + C

Now, we can use the initial condition y(0) = 1 to solve for C:

ln|1 - 1.5(1)| = 0 + C

ln(0.5) = C

Therefore, the equation becomes:

ln|yt³ - 1.5y| = t + ln(0.5)

To find the specific solution for y(t), we need to solve for y in terms of t:

yt³ - 1.5y \(= e^{(t + ln(0.5))\)

Simplifying further:

yt³ - 1.5y \(= e^t * 0.5\)

This is the analytical solution to the initial value problem.

b) Fourth-order Runge-Kutta Method (R-K-M) with h = 0.2:

To solve the initial value problem numerically using the fourth-order Runge-Kutta method, we can use the following iterative process:

Set t = 0 and y = 1 (initial condition).

Iterate from t = 0 to t = 2 with a step size of h = 0.2.

At each iteration, calculate the following values:

k₁ = h₁ * (yt³ - 1.5y)

k₂ = h * ((y + k1/2)t³ - 1.5(y + k1/2))

k₃ = h * ((y + k2/2)t³ - 1.5(y + k2/2))

k₄ = h * ((y + k3)t³ - 1.5(y + k3))

Update the values of y and t:

\(y = y + (k_1 + 2k_2 + 2k_3 + k_4)/6\)

t = t + h

Repeat steps 3-4 until t = 2.

By following this iterative process, we can obtain the numerical solution to the initial value problem over the given interval using the fourth-order Runge-Kutta method with a step size of h = 0.2.

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Answer:

(0.5 -2.5)

Step-by-step explanation:

B is at (1, -5). A dilation by 0.5 means that these coordinates are multiplied by 0.5 each.

So 0.5(1) then 0.5(-5) = (0.5, -2.5)

Answer:

Side interior angles are most definitely supplementary

Step-by-step explanation: I'm pretty sure that other guy just guessed

\(-16=r^3\implies \sqrt[3]{-16}=\sqrt[3]{r^3}\implies \sqrt[3]{-16}=r\implies \sqrt[3]{-2^4}=r \\\\\\ \sqrt[3]{(-2)^3\cdot 2^1}=r\implies -2\sqrt[3]{2^1}=r\implies -2\sqrt[3]{2}=r\)

answer:

x=1/3

x=11/3

STEP 1:

Rearrange this Absolute Value Equation

Absolute value equalitiy entered

-3|x-2|+9 = 4

Another term is moved / added to the right hand side.

To make the absolute value term positive, both sides are multiplied by (-1).

3|x-2| = 5

STEP 2:

Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is 3|x-2|

For the Negative case we'll use -3(x-2)

For the Positive case we'll use 3(x-2)

STEP 3:

Solve the Negative Case

-3(x-2) = 5

Multiply

-3x+6 = 5

Rearrange and Add up

-3x = -1

Divide both sides by 3

-x = -(1/3)

Multiply both sides by(-1)

x = (1/3)

Which is the solution for the Negative Case

STEP 4:

Solve the Positive Case

3(x-2) = 5

Multiply

3x-6 = 5

Rearrange and Add up

3x = 11

Divide both sides by 3

x = (11/3)

Which is the solution for the Positive Case

giving us  x=1/3 or x=11/3

allso if u can i need help with a thing so plese help, i would aprestiate it

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The random value can take on any value from 0.0 (inclusive) to 0.9999999999999999 (exclusive).

The Math class's static method randomly generates a random double value in the range from 0.0 (inclusive) up to but not including 1.0 (exclusive). This means that the correct option is b. up to and including 1.0.

When you call Math. random(), it returns a random double value greater than or equal to 0.0 and less than 1.0. The generated value can range from 0.0 (inclusive) to 0.9999999999999999 (exclusive), which is effective up to but not including 1.0.

For example, if you were to write the following code snippet:

double random value = Math.random();

The random value can take on any value from 0.0 (inclusive) to 0.9999999999999999 (exclusive).

Therefore, it's important to note that Math. random() generates pseudo-random numbers based on an algorithm and seed value. If you need random numbers within a specific range, you can use the Math. random() method in conjunction with other arithmetic operations to scale and shift the range as required.

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The linear equation on the graph shown is:

y = (2/3)*x + 4

We can see that we have a linear equation on the graph, remember that a general linear equation is:

y = a*x + b

Where a is the slope and b is the y-intercept.

On the graph, we can see that the line intercepts the y-axis at y = 4, then the y-intercept is b = 4

y = a*x + 4

To find the slope we can use another point on the line, for example, we can see that (-6, 0) is also on the line, replacing these values in the linear equation above we will get:

0 = a*-6 + 4

6a = 4

a = 4/6 = 2/3

Thus, the line is:

y = (2/3)*x + 4

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The distributive Property States that when a factor exists multiplied by the sum/addition of two terms, it exists critical to multiply each of the two numbers by the factor, and eventually complete the addition operation.

Let the expression be 4+(6+8u)

4 + (6 + 8u) = (4 + 6) + 8u

The distributive Property States that when a factor exists multiplied by the sum/addition of two terms, it exists critical to multiply each of the two numbers by the factor, and eventually complete the addition operation.

Adding (distributing) the first numbers of each set, outer numbers of each set, inner numbers of each set, and the last numbers of each set. Combine like terms. Solve the equation and simplify, if needed.

The expression be 4+(6+8u)

4+(6+8u) = (4 + 6)+8u

Therefore, the correct answer is distributive property.

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Answer: D. f(n) = 60 + 10n.... algebra.com

f(n) = 10 + 60n

f(n) = 60 + 10n

f(n) = 10n � 55

f(n) = 10 � 55n

ANSWER: f(n)=$60+$10n

Step-by-step explanation: D. f(n) = 60 + 10n.... brainly.com

She charges $60 to design the party

So we know we need to add 60. So 60 +  

then $10.00 per child

10 dollars per child mean 10 times # of children so we have:

10n

Put it all together:

60 + 10n

f(n) = 60 + 10n

Therefore, with 10 yellows, approximately 12.5 blues would be expected based on the inverse variation relationship. Since we can't have a fraction of a blues, we can consider it as 12 blues.

If blues vary inversely as yellows squared, we can set up the inverse variation equation as follows:

blues * yellows^2 = constant

Let's assign the constant of variation as "k."

So, for the given scenario where 50 blues go with 5 yellows, we can substitute these values into the equation:

50 * 5^2 = k

Simplifying:

50 * 25 = k

k = 1250

Now, we can use this value of k to find out how many blues go with 10 yellows:

blues * 10^2 = 1250

100 * blues = 1250

blues = 1250 / 100

blues = 12.5

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This is impossible to answer without knowing what the sets A and B contain (and what ξ even refers to - universal set?).

However, we have

(A U B)' = A' ∩ B'

so that

(A ∩ B) U (A U B)' = (A ∩ B) U (A' ∩ B') = (A U A') ∩ (B U B')

If ξ is indeed the universal set, then both A U A' = ξ and B U B' = ξ, so we end up with ξ ∩ ξ = ξ.

\(\huge \bf༆ Answer ༄\)

In the given figure, The marked angles forms a pair of co - interior angles [ because lines l and m are parallel ]

therefore,

Hence, the value of x is ~ 7

Answer:

2/3

Step-by-step explanation:

Answer:

7/10

Step-by-step explanation:

0.6 is a repeating decimal in this case, so you can round it to .7

From there, you simply put it over ten because you cant break seven down any more than that in a simple fraction.

The radius of the circle is 4 units

A circle is simply a round shape that has no corners or line segments. The body of a circle is called the circumference and a cut out of circumference is called an arc.

The distance from the centre of a circle to any part of its circumference is called a radius. Twice of a radius is called the diameter.

In the circle, the distance between the center of the circle and it's circumference is ;

4-0 = 4 units

Therefore the radius of the circle is 4 units.

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Answer:

- $19.43

Step-by-step explanation:

Withdrawals are represented by negative values (-)

Deposits are represented by positive values (+)

To represent a withdrawal of $19.43

It would be represented as - $19.43

Answer:

0

Explanation:

We utilise the following two properties of sines and cosines to simplify our expression.

and

Substituting the above simplifications into our expression gives

Therefore we conclude that

We are given the values of a and b and an equation involving exponents. We need to solve for the value of x.

The given equation is \((a)^2\) =\((b)^2\) * \((x)^2\).

We can solve for x by isolating it on one side of the equation. Let's rewrite the equation: \((a)^2\) = \((b)^2\) * \((x)^2\)

Taking the square root of both sides, we have: \(\sqrt{a^2}\)= \(\sqrt{b^2}\) * \((x)^2\)

Simplifying further, we get: a = b * x

Now we can solve for x by dividing both sides of the equation by b: x = a / b.

Substituting the given values of a and b into the equation, we have: x = 0.697 / 0.6

Evaluating this expression, we find: x ≈ 1.162

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The equation of the line passing through (1,5) and parallel to y = 3x - 1 is   f(x) = 3x + 2

The equation of a line can be formed with the help of the slope of the line and a point on the line.

The general equation of a straight line is y = mx + c, where m is the gradient, and y = c is the value where the line cuts the y-axis.

Parallel lines have the SAME SLOPE.  Since the formula is in the form y=mx+b, the slope. m. is 3.

The line is y = 3x + b and goes through (1,5), so, let's determine b:

  5 = 3(1) + b

  2 = b

 Hence, the equation of the line is f(x) = 3x + 2

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