Determine whether the expression is a polynomial. If it is a polynomial state the degree of the polynomial
3z^2 - 5z + 11

Answer: To match the shapes produced by the slice through the triangular prism, we need to consider the orientation of the slice relative to the prism. Here are the matching options:

A. Perpendicular to the base: Rectangle

B. Parallel to the base: Triangle with dimensions equal to the base

C. Diagonal from vertex to vertex: Triangle with unknown dimensions

Answer:

go to mathaway.com

Step-by-step explanation:

Answer:  V=8 (If solving for V)

Step-by-step explanation:

-3v+11=-8v+51    Move the variable to the left hand side and change its sign.

-3v+8v+11=51      Collect the like terms

5v=51-11              Divide both sides of the equation by 5

v=8

Hope this helps!!

\(-3v+11=-8v+51\)

1. add 3v to -3v, then add 3v to the other side. \(11=-8v+11+51+3v\)

2. add 11 and 51  \(11=-8v+62+3v\)

3. add 3v to -8v \(11=-5v+62\)

4. subtract 62 from 62, then subtract 62 from 11 \(-51=-5v\)

5. divide -5v by 5, then divide -51 by 5 \(-10.2=v\)

Answer: -10.2

Answer:

About 270

Step-by-step explanation:

Since the kg goes up by 40kg so 240-280. So the line in between would be 260, since 500 would be a little higher 270 would be a decent answer.

Step-by-step explanation:

suby=x+1 in 2y=3x

2(x+1)=3x

2x+2=3x

2=3x-2x

2=x

Answer:

2/8 you plus it

Step-by-step explanation:

you should plus both

Answer:

-4/3

Step-by-step explanation:

the slope is -4/3

In terms of algebra and mathematics, a solution is basically the answer to any given equation. The solution of 20 = x + 12 is 8, the value of x.

Answer:

6x - Goes both into 18x^2 and 6x evenly.

Answer:

(-3,-6)

Step-by-step explanation:

midpoint formula : \((\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )\)

where the x and y values derive from the given points

The points given are (-4,-2) and (-2,-10)

The first step is to assign variables

first coordinate : (x1,y1) = (-4,-2) so x1 = -4 and y1 = -2

second coordinate : (x2,y2) = (-2,-10) so x2 = -2 and y2 = -10

Next we plug in these values into the formula

Recall formula : \((\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )\)

x1 = -4 , x2 = -2 , y1 - 2 and y2 = - 10

plug in values

\((\frac{-4+(-2))}{2} ,\frac{-2+(-10)}{2} )\)

simplify numerators : -4 + -2 = -6 and -2 + -10 = -12

\((\frac{-6}{2} ,\frac{-12}{2} )\)

simplify fractions : -6/2 = -3 and -12/2 = -6

the midpoint is (-3,-6)

Answer:

£ 84

Step-by-step explanation:

Let :-

Given ratio :-

→ Sum of ratios = 4 + 3 + 5 = 12 .

According to Question :-

→ 3/12 × x = £21

→ x = £21 × 12/3

→ x = £ 84 .

Answer:

£84.

Step-by-step explanation:

There are 4 + 3 + 5 = 12 parts.

The second person got 3 parts so we can write:

3/12 x = 21      where x is the required amount of money

x = 21 * 12/3

= 21 * 4

= £84.

Since Y = 1/X, then X = 1/Y. The PDF of Y, g(y) is 4/y⁵, where 0 < y ≤ 1. If Y < 0 or y > 1, the PDF of Y is equal to z of Y, g(y) is 4/y⁵, where 0 < y ≤ 1. If Y < 0 or y > 1, the PDF of Y is equal to zero.

The PDF of X is given by fx(x) = { 4x³, 0 < x ≤ 1}When 0 < Y ≤ 1, the values of X would be 1/Y < x ≤ ∞ .Thus, the PDF of Y, g(y) would be g(y) = fx(1/y) × |dy/dx| where;dy/dx = -1/y², y < 0 (since X ≤ 1, then 1/X > 1). The absolute value is used since the derivative of Y with respect to X is negative. Note that;g(y) = 4[(1/y)³] |-(1/y²)|g(y) = 4/y⁵ , 0 < y ≤ 1. The PDF of Y is 4/y⁵, where 0 < y ≤ 1. When Y < 0 or y > 1, the PDF of Y is equal to zero. The above can be verified by integrating the PDF of Y from 0 to 1.

∫ g(y) dy  = ∫ 4/y⁵ dy, from 0 to 1∫ g(y) dy  = (-4/y⁴) / 4, from 0 to 1∫ g(y) dy  = -1/[(1/y⁴) - 1], from 0 to 1∫ g(y) dy  = -1/[(1/1⁴) - 1] - (-1/[(1/0⁴) - 1])∫ g(y) dy  = -1/[1 - 1] - (-1/[(1/0) - 1])∫ g(y) dy  = 1 + 1 = 2. From the above, it can be observed that the integral of g(y) is equal to 2, which confirms that the PDF of Y is valid. The PDF of Y, g(y) is 4/y⁵, where 0 < y ≤ 1. If Y < 0 or y > 1, the PDF of Y is equal to zero.

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Answer:

sqrt (233)

Step-by-step explanation:

Use pythagorean theorem

a^2 + b^2 = hypotenuse^2

8^2 + 13^2 = hypot^2

233 = hypot ^2          hypot = sqrt 233

Area:

Approximately 211.24 square feet

Explanation:

Im going to assume you are asking for the surface area of a sphere with a diameter of 8.2ft. The equation to find this is: \(A = 4\pi r^2\)

Firstly, we need to convert the diameter to the radius. The diameter is always twice the length of the radius, so the radius must be 4.1ft

Plug this value in:

\(A = 4\pi (4.1)^2\\A = 4\pi(16.81)\\A = 211.24\)

Answer:

\(\boxed{\tt a=9}\)

Step-by-step explanation:

We are given the equation:

\(-5a+7= -38\)

We want to solve for a, so we must isolate a on one side of the equation.

7 is being added to -5a. The inverse of addition is subtraction. Subtract 7 from both sides of the equation.

\(-5a+7-7=-38-7\)

\(-5a=-38-7\)

\(-5a=-45\)

a is being multiplied by -5. The inverse of multiplication is division. Divide both sides of the equation by -5.

\(\frac{-5a}{-5} =\frac{-45}{-5}\)

\(a=\frac{-45}{-5}\)

\(a=9\)

Let's check our solution. Plug 9 in for a.

\(-5a+7=-38\)

\(-5(9)+7=-38\)

\(-45+7=-38\)

\(-38=-38\)

This checks out, so we know our solution a=9 is correct.

-5a +7 =-38

-5a +7 (-7) = -38 (-7)

-5a= -45

-5a (÷-5)= -45 (÷-5)

a= 9

Step-by-step explanation:

a. They are alternate interior angles.

b. Line AC and Line DG

c.Line BE and Line BF

d. 45

e. 110

f. 65, triangle exterior theorem

f. 70, alternate interior angles

The 95% confidence interval estimate of the population mean rating for Miami International Airport is approximately 5.50 to 6.74 (rounded to two decimal places).

To develop a 95% confidence interval estimate of the population mean rating for Miami International Airport, we can use the sample data provided. Here are the steps to calculate the confidence interval:

Step 1: Calculate the sample mean and sample standard deviation (s) from the given ratings.

Step 2: Determine the critical value (t*) for a 95% confidence level. Since the sample size is small (n = 50), we need to use the t-distribution. The degrees of freedom (df) will be n - 1 = 50 - 1 = 49.

Step 3: Calculate the standard error (SE) using the formula: SE = s / √n, where n is the sample size.

Step 4: Calculate the margin of error (ME) using the formula: ME = t* * SE.

Let's proceed with the calculations:

Step 1: Calculate the sample mean and sample standard deviation (s).

Sample ratings: 7 7 3 8 4 4 4 5 5 5 5 4 9 10 9 9 8 10 4 5 4 10 10 10 11 4 9 7 5 4 4 5 5 4 3 10 10 4 4 8 7 7 4 9 5 9 4 4 4 4

Sample size (n) = 50

Sample mean = (Sum of ratings) / n = (306) / 50 = 6.12

Sample standard deviation (s) = 2.18

Step 2: Determine the critical value (t*) for a 95% confidence level.

Using a t-distribution with 49 degrees of freedom and a 95% confidence level, the critical value (t*) is approximately 2.01.

Step 3: Calculate the standard error (SE).

SE = s / √n = 2.18 / √50 ≈ 0.308

Step 4: Calculate the margin of error (ME).

ME = t* * SE = 2.01 * 0.308 ≈ 0.619

Step 5: Construct the confidence interval.

Confidence Interval = 6.12 ± 0.619

Lower bound = 6.12 - 0.619 ≈ 5.501

Upper bound = 6.12 + 0.619 ≈ 6.739

The 95% confidence interval estimate of the population mean rating for Miami International Airport is approximately 5.50 to 6.74 (rounded to two decimal places).

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The concept of perceptual selectivity leads listeners to mold messages to fit their own conceptual frameworks. In other words, individuals often tend to hear only what they want to hear and ignore the rest. They're more likely to accept messages that are consistent with their current beliefs or values while rejecting messages that conflict with them.

Therefore, in order to communicate effectively, it's essential to understand the recipient's perceptual filter and tailor the message accordingly. Decision making in complex business situations is rarely clear-cut and often involves choosing from a range of options that are not necessarily obvious. Therefore, decision makers must use their knowledge, experience, intuition, and judgment to analyze the situation and select the best possible solution.

Decision making is also influenced by external factors such as time pressure, availability of resources, and the organization's culture. Memos are a common form of written communication in the business world. They're usually brief, informative, and intended to convey important information to employees or colleagues. Memos are used to communicate a wide range of information, such as policy changes, meeting announcements, project updates, and so on. They're also used to provide feedback, ask questions, or request information from others. Since memos are an internal communication tool, they're generally written in a more informal tone than other types of business communication such as letters or reports.

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Example 1 is a first-order nonlinear and non-autonomous difference equation., Example 2 is a second-order nonlinear and non-autonomous difference equation.

Let's analyze each example to determine whether it is linear or nonlinear, first-order or higher-order, and autonomous or non-autonomous:

1. \( x_{t}=a x_{t-1}+b \)

  This example is a first-order nonlinear and non-autonomous difference equation. Here's the breakdown:

  - Linearity: The equation is nonlinear since it contains the nonlinear term \(x_{t-1}\) multiplied by the coefficient \(a\).

  - Order: It is a first-order equation because it relates the current term \(x_t\) to the previous term \(x_{t-1}\).

  - Autonomy: The equation is non-autonomous because it explicitly depends on time through the subscripts \(t\) and \(t-1\).

2. \( x_{t}=a x_{t-1}+b x_{t-2} \)

  This example is a second-order nonlinear and non-autonomous difference equation. Here's the breakdown:

  - Linearity: The equation is nonlinear because it contains both \(x_{t-1}\) and \(x_{t-2}\) multiplied by their respective coefficients \(a\) and \(b\).

  - Order: It is a second-order equation because it relates the current term \(x_t\) to the two previous terms \(x_{t-1}\) and \(x_{t-2}\).

  - Autonomy: The equation is non-autonomous because it explicitly depends on time through the subscripts \(t\), \(t-1\), and \(t-2\).

The linearity or nonlinearity of an equation is determined by the presence or absence of terms that involve nonlinear functions or products of variables. The order of the equation is determined by the highest derivative or the number of previous terms involved in the equation. Lastly, an equation is considered autonomous if it does not explicitly depend on time.

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Answer:

D.-6

Step-by-step explanation:

|x+11|<5

x+11<5

x<5-11

x<-6

Answer:

x= 38

Step-by-step explanation:

add 34 to each side of the equation.

which will give you x= 38

done!

Answer:

630

Step-by-step explanation:

10 times 21= 210÷2= 105

35×21=735-105=630

Answer:

D

Step-by-step explanation:

Decimal = "and"

2 decimal places = "hundredths"

Using the values provided in the ordered pair, The linear inequality is satisfied by putting the ordered pair values and checking if the statement is true or false.

An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence.

When two mathematical statements or two numbers are compared in an unequal way, it is known as an inequality in mathematics. Inequalities can generally be classified as either algebraic or numerical, or as a combination of the two.

ordered pair=(1,2)

linear inequality equation,

\(4x_{1}-x_{2} > 0\)

using value from ordered pair,

\(4*1 - 2 > 0\)

\(2 > 0\)

which is true. That is it satisfies the given linear inequality.

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There are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting

The multiplication principle states that if there are m ways to perform one task and n ways to perform another task, then there are m x n ways to perform both tasks together.

To find the number of ways to choose 3 men from the 12 men, we can use the formula for combination, which is: ⁿCᵣ = n! / (r! (n-r)!).

where n is the total number of men and r is the number of men chosen

so, the number of ways to choose 3 men from the 12 men = ¹²C₃ = 1.

Similarly, we evaluate the number of ways to choose 2 women from the 8 women

as = ⁸C₂ = 14

Now, using the multiplication principle, we can find the total number of ways 3 men and 2 women be chosen if they are equally considered.

220 x 14 = 3080

Therefore, there are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting

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The integral to solve for volume is:
V = 2π∫(x)(√x)dx
Simplifying and integrating, we get:
V = 2π∫x^(3/2)dx
Evaluating the integral, we have:
V = 2π * (2/5)x^(5/2) + C
Finally,Substituting the limits of integration, we get the volume of the solid generated when R is revolved about the x-axis.

To set up the integral and solve for volume using the shell method, we need to find the limits of integration and the expression for the shell's volume.
The region R is bounded by the curves

y = √x

and y = 0.

To find the limits of integration, we need to determine where these two curves intersect.
Setting the equations equal to each other, we get:
√x = 0
Solving for x, we find x = 0.
Therefore, the limits of integration will be from

x = 0 to

x = 1 (since y = √x intersects the x-axis at x = 1).
To find the expression for the shell's volume, we use the formula:
V = 2π∫(radius)(height)dx
The radius of the shell is given by r = x, and the height is given by

h = y

= √x.
The integral to solve for volume is:
V = 2π∫(x)(√x)dx
Simplifying and integrating, we get:
V = 2π∫x^(3/2)dx
Evaluating the integral, we have:
V = 2π * (2/5)x^(5/2) + C
Finally,Substituting the limits of integration, we get the volume of the solid generated when R is revolved about the x-axis.

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Answer:

3x - 1 = 4x - 10

-1 = x - 10

9 = x

Step-by-step explanation:

10-1=4x-3x

9=X

this is the answer with steps

Answer:

5.40

Step-by-step explanation:

let X represent the price of a 18 minute phone call

X=18 ×1.80

6

= 5.40

Answer:

57

Step-by-step explanation: