4,12,44,176,890
which is odd one ?​

If it has 2 complex zeros, then it must have 2 real zeros.

Remember that the number of zeros that a polynomial of degree N has is also N.

For example in functions like:

f(x) = x^N

We can say that the zero x = 0 has a multiplicity of N, so we have N equal zeros.

Then a polynomial of degree 4 has 4 zeros, if two are complex, then the other two are real zeros.

So we conclude that the answer is 2.

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Note that the probabilities are given below.

a) the probability of a randomly selected catch being a mouse caught by Cyd

p(Catching a mount) x p(Cyd made the catch)

= 0.5x .2

= 0.1

b) the   probability of a bird not caught by Cyd is 0.5 x 0.8 = 0.4.

Thus

P(that a catch is a bird) x p(the Cyd didn't make the catch)

= 0.3 x 0.8

=0.24

c) The probability of a randomly selected catch being caught by Greg is 0.45

To calculate, we say

(0.5   x0.45) + (0.3 x 0.45) + (0.2 x .45)

= 0.45.

d)

P (mouse caught by Greg) = (0.45 x 0.5) / 1

= 0.225.

e) P(catch is a mouse caught by Ken and catch is a mouse)

= P(catch is a mouse | catch is made by Ken) x P(catch is made by Ken)

= 0.05 x 0.1

= 0.005

f)

P (catch made by Cyd | catch is a mouse)

= 0.1    x 0.2 / 0.5

= 0.04

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Answer:

-7≤y≤2

Step-by-step explanation:

The range measures the highest and lowest numbers up and down on the y-axis for a line. In order to determine range, start with the smallest number (the farthest place the line touches going down) then write less than or equal to. This is because the two dots are closed, meaning they include what the line touches. Afterward, add another less than or equal to, and then add the biggest number (the highest place the line touches going up). The range basically gives you your boundaries, and tells you how high or low the line you are describing is. And after that, you're done!

I hope this helps :)

The test score for Jason will be 55% for answering 11 questions right.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that Jason is taking a multiple-choice test with a total of 20 points available. Each question is worth exactly 1 point.

The test score will be calculated as,

[tex]\text{Test score} =\dfrac{\text{Total questions - wrong answers}}{\text{Total questions}} \times100[/tex]

[tex]\text{Test Score}=\huge \text[\dfrac{(20-9)}{20}\huge \text] \times100[/tex]

[tex]\text{Test Score}=0.55\times100[/tex]

[tex]\text{Test Score}=0.55\%[/tex]

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Answer:

16.

Step-by-step explanation:

The Probability of both balls being green is  0.36 or 36%

b) The Probability of neither ball being green is 0.16 or 16%

Based on question A,  To find the probability that both balls are green, we use the equation below:

P (both green) = P (first green) x P (second green)

= (6/10) x (6/10)

= 36/100

= 9/25

=0.36

b) To find the probability that neither ball is green,  we use the formula below:

P (neither green) = P (first not green) x P (second not green)

= (4/10) x (4/10)

= 16/100

= 4/25

=0.16.

Therefore, the statement will be:  The Probability of both balls being green: 0.36 and the probability of neither ball being green is 0.16

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Answer:

I am not sure if you wanted the answer in mm or m.  I gave the answer is m

v =  0.58875[tex]m^{3}[/tex]

Step-by-step explanation:

v = 1/3[tex]\pi r^{2} h[/tex]

v = 1/3 (3.14)([tex].075^{2}[/tex])(100)    The diameter 150mm is .0150m  Take have of that to find the radius

v =  0.58875[tex]m^{3}[/tex]

The volume of the solid is 1922.7 in³.

The volume of a solid can be found by adding the volume of the shapes that make the solid. In this case:

Volume of solid = volume of hemisphere + volume of cylinder

Volume =  2/3πr³ + πr²h

where r = 12/2 = 6 in

height of cylinder (h) = 13 - 6 = 7 in

Volume =  (2/3 * π * 6³) + (π * 6² * 13)

Volume =  1922.7 in³

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The estimated population of the city after 3 years would be 8,537 people.

To find the population of the city after 3 years, we can use the formula for compound interest;

A = P ×[tex](1+r)^{t}[/tex]

where;

A = the final amount (population after 3 years)

P = the initial amount (initial population of the city) = 5,741

r = the annual growth rate (as a decimal) = 14% = 0.14

t = the number of years = 3

Plugging in the values, we get

A = 5,741 × (1 + 0.14)³

Simplifying the expression inside the parentheses first;

A = 5,741 × (1.14)³

Then, raising 1.14 to the power of 3;

A = 5,741 × 1.485136

A ≈ 8,536.98

So, the estimated population of the city after 3 years would be approximately 8,536.98 people. Since population cannot be in decimal numbers, we can round it to the nearest whole number;

A ≈ 8,537

Therefore, the estimated population of the city after 3 years would be 8,537 people.

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The  vector-valued function is continuous at t=2,

are

A vector-valued function, is described as a mathematical function of one or more variables whose range is a set of multidimensional vectors or infinite-dimensional vectors.

We are required  to check if the limit of the function as t approaches 2 exists and is equal to the value of the function at t=2, in order to determine if the  vector-valued function is continuous at t=2.

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AI initially had 786,432 pennies.

We have,

Let P be the initial number of pennies AI had.

According to the problem:

AI gives 3/8 of P pennies to Bev.

Bev gives 3/8 of what she got from AI to Carl.

Carl gives 3/8 of what he got from Bev to Dani.

Set up an equation to solve for P.

Let's start by finding how many pennies Dani gets from Carl:

Carl gives 3/8 of what he got from Bev to Dani, so Dani gets:

(3/8) x (3/8) x (3/8) x P pennies from Carl.

Next, let's find how many pennies Carl gets from Bev:

Bev gives 3/8 of what she got from AI to Carl,

So Carl gets (3/8) x (3/8) x P pennies from Bev.

Now we can substitute this expression for the number of pennies Carl gets from Bev into the expression for the number of pennies Dani gets from Carl:

Dani gets (3/8) x (3/8) x (3/8) x P pennies from Carl = (3/8) x (3/8) x (3/8) x (3/8) x P pennies from Bev =  (3/8) x (3/8) x (3/8) x (3/8) x (3/8) x P pennies from AI.

We know that Dani gets 378 pennies, so we can set this expression equal to 378 and solve for P:

(3/8) x (3/8) x (3/8) x (3/8) x (3/8) x P = 378

Simplifying this expression:

P = 378 x (8/3) x (8/3) x (8/3) x (8/3) x (8/3)

P = 786,432

Therefore,

AI initially had 786,432 pennies.

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The given statement, "Signed numbers are also called directed numbers" is true.

Signed numbers are numbers that can be positive, negative, or zero, and they are sometimes referred to as directed numbers because they have a direction or orientation on the number line. Positive numbers are usually associated with movements to the right on the number line, while negative numbers are associated with movements to the left.

Therefore, the given statement, "Signed numbers are also called directed numbers" is true.

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Answer:

The answer to this question is --> f(x) = -4x^2-8x+32

Hope this helps

Answer:

  128

Step-by-step explanation:

You want a prediction for x=2 when the given data is modeled by an exponential model.

A graphing calculator's exponential regression function models this data with the formula ...

  y = 135.7 · 0.9711^x

  y = 137.7 · 0.9711^2 ≈ 127.94 . . . . when x=2

This model gives a value for variable 2 of approximately 128 when variable 1 = 2.

<95141404393>

Answer:

--------------------------

To find the slope use the slope formula:

Substitute the coordinates into slope formula to get the slope:

The matching choice is B.

Reflecting the triangle Q over the line y = 1 would map it onto triangle T

Reflection over line x = 1

This means that we draw a vertical line that passes through x = 1

And then we create a triangle that is a mirror of the triangle P across the reflection line

The reflection of the triangle is attached

Reflection over line y = 2

This means that we draw a vertical line that passes through y = 2

As done in part (a), we then create a triangle that is a mirror of the triangle P across the reflection line

The reflection of the triangle is also attached

Using the same transformation rule above;

A reflection over the line y = 1 would map the triangle Q onto triangle T

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Answer:

x + y = 3 and 3x - y = 1.

Step-by-step explanation:

For the equation x + y = 3, we can find the x-intercept by setting y = 0 and solving for x:

x + 0 = 3

x = 3

So the x-intercept is (3, 0). Similarly, we can find the y-intercept by setting x = 0 and solving for y:

0 + y = 3

y = 3

So the y-intercept is (0, 3). We can plot these two points and draw a straight line through them to represent the equation x + y = 3. The resulting line has a slope of -1 and a y-intercept of 3.

For the equation 3x - y = 1, we can find the x-intercept by setting y = 0 and solving for x:

3x - 0 = 1

x = 1/3

So the x-intercept is (1/3, 0). Similarly, we can find the y-intercept by setting x = 0 and solving for y:

3(0) - y = 1

y = -1

So the y-intercept is (0, -1). We can plot these two points and draw a straight line through them to represent the equation 3x - y = 1. The resulting line has a slope of 3 and a y-intercept of -1.

Now, we can visually determine the point where the two lines intersect, which represents the solution to the simultaneous equation. We can do this by looking at the graph and finding the point where the two lines intersect. Using the given range of values of x from -1 to +3, we can plot the two lines and find their intersection point:

[i dont know wheres the graph image but just show it so you can explain that]

The intersection point is approximately (1.1, 1.9), which is the solution to the simultaneous equation x + y = 3 and 3x - y = 1.

Dela will use 24 teaspoons of vinegar and 75 teaspoons of olive oil to make 6 containers of salad dressing.

We have,

Dela uses a ratio of 4 teaspoons of vinegar to 12.5 teaspoons of olive oil.

So, for 6 containers

= 4 x 6

= 24 teaspoons of vinegar

and, = 12.5 x 6

= 75 teaspoons of olive oil

Thus, Dela will use 24 teaspoons of vinegar and 75 teaspoons of olive oil to make 6 containers of salad dressing.

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Answer:

down your esophagus into your stomach

Step-by-step explanation:

After you swallow, peristalsis pushes the food down your esophagus into your stomach. Stomach. Glands in your stomach lining make stomach acid and enzymes that break down food. Muscles of your stomach mix the food with these digestive juices.

Answer: $1,293.60

Step-by-step explanation:

Answer:

Given system of linear equations are

2x+3y+3z=5

x−2y+z=−4

3x−y−2z=3.

Represent it in matrix form

⎣

⎢

⎢

⎡

2

1

3

3

−2

−1

3

1

−2

⎦

⎥

⎥

⎤

⎣

⎢

⎢

⎡

x

y

z

⎦

⎥

⎥

⎤

=

⎣

⎢

⎢

⎡

5

−4

3

⎦

⎥

⎥

⎤

which is in the form of AX=B

A=

⎣

⎢

⎢

⎡

2

1

3

3

−2

−1

3

1

−2

⎦

⎥

⎥

⎤

∣A∣=10+15+15=40



=0

∴ A

−1

exists

To find adjoint of A

A

11

=5,A

12

=5,A

13

=5

A

21

=3,A

22

=−13,A

23

=11

A

31

=9,A

32

=1,A

33

=−7

Adj(A)=co-factor

⎣

⎢

⎢

⎡

5

3

9

5

−13

1

5

11

−7

⎦

⎥

⎥

⎤

=

⎣

⎢

⎢

⎡

5

5

5

3

−13

11

9

1

−7

⎦

⎥

⎥

⎤

A

−1

=

∣A∣

1

Adj(A)

=

40

1

⎣

⎢

⎢

⎡

5

5

5

3

−13

11

9

1

−7

⎦

⎥

⎥

⎤

X=A

−1

B

=

40

1

⎣

⎢

⎢

⎡

5

5

5

3

−13

11

9

1

−7

⎦

⎥

⎥

⎤

⎣

⎢

⎢

⎡

5

−4

3

⎦

⎥

⎥

⎤

X=

40

1

⎣

⎢

⎢

⎡

25−12+27

25+52+3

25−44−21

⎦

⎥

⎥

⎤

X=

40

1

⎣

⎢

⎢

⎡

40

80

−40

⎦

⎥

⎥

⎤

⎣

⎢

⎢

⎡

x

y

z

⎦

⎥

⎥

⎤

=

⎣

⎢

⎢

⎡

1

2

−1

⎦

⎥

⎥

⎤

Hence, x=1,y=2 and z=−1

The solution to the system of equations is

x = 3

y = 2

z = 2

To solve for x, y, and z, we can use the elimination method or substitution method. Here, we will use the elimination method.

First, we will eliminate y from the equations by multiplying the first equation by 3 and the second equation by 1, and then adding them:

(3) (2x – y + 3z = 10)

6x – 3y + 9z = 30

(1) (x + 3y – 2z = 5)

x + 3y – 2z = 5

Adding the two equations gives:

7x + 7z = 35

Simplifying, we get

x + z = 5 (Equation 1)

Next, we will eliminate y again by multiplying the second equation by 2 and the third equation by 3, and then adding them:

(2) (x + 3y – 2z = 5)

2x + 6y – 4z = 10

(3) (3x – 2y + 4z = 12)

9x – 6y + 12z = 36

Adding the two equations gives:

11x + 8z = 46

Substituting x + z = 5 from Equation 1 into the above equation, we get:

11(x + z) + 8z = 46

11x + 19z = 46

Solving for z, we get:

z = 2

Substituting z = 2 into x + z = 5 from Equation 1, we get:

x + 2 = 5

x = 3

Finally, substituting x = 3 and z = 2 into any of the original equations, we can solve for y:

2x – y + 3z = 10

2(3) – y + 3(2) = 10

6 – y + 6 = 10

y = 2

Therefore, the solution to the system of equations is:

x = 3

y = 2

z = 2

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An exponential equation of the function that models the data given is y = 12.74 (0.7)ˣ.

Given a table of values that represent an exponential function.

An exponential equation is of the form,

y = a (b)ˣ

When x = 0, y = 12.74

12.74 = a (b)⁰

12.74 = a [since b⁰ = 1]

So a = 12.74

When x = 1, y = 8.918

Substituting,

12.74 b = 8.918

b = 8.918 / 12.74

b = 0.7

Hence the equation is option D) y = 12.74 (0.7)ˣ.

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The volume of the small cylinder is 36π

Similar figures are two figures having the same shape. The two cylinders are similar but of different radius and height.

The height of the big cylinder is calculated as

V = πr²h

h = V/ πr²

h = 144π/π36

h = 144/36

h = 4 cm

Therefore the scale factor = 4/2

area factor =( 4/2)² = 16/4

therefore the volume of the cylinder is;

16/4 = 144π/ x

16x = 144π × 4

16x = 576

dividing both sides by 16

x = 576/16

x = 36π

therefore the volume of the small cylinder is 36π.

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The most expensive car loan that Cindy can afford is $14,534.

The most expensive car loan is calculated by applying the following formula.

M.P = (Pr) / (1 - (1 + r)^(-n))

Where;

215 = (P x 0.00175) / (1 - (1 + 0.00175)^(-72))

215 = (P x 0.00175)/0.1183

(P x 0.00175) = 215 x 0.1183

P x 0.00175 = 25.44

P =  $14,534

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Note that the above prompt requires you to under stand what a W-4 form is  and how to complete one.

Rbecca needs to s tart by entering your personal information in boxes 1-4, including your name, address, Social Security number, and filing status. In this case, Rebecca Kate Foster's information is:

Box 1: Rebecca Kate Foster

Box 2: 1234 Main St.

Box 3: New York, NY 12345

Box 4: 123-45-6789

Box 5: Single

In box 6, write "1" since Rebecca only has one job.

Rebecca can claim the standard deduction or itemize deductions in box 7. She may benefit from itemizing deductions because she has donated $3,960 to charity in the last year.

Rebecca can claim whatever excess tax withholding she wants each paycheck in box 8. She may not need to withhold any further taxes because she has no dependents and is not married. If she prefers, she can leave this section blank.

Rebecca can claim any extra withholding for the year in box 9. If she anticipates to owing taxes at the end of the year, she may want to withhold more from each paycheck to prevent a hefty tax payment later. If she anticipates a reimbursement, she should withhold less. She can use the IRS's withholding calculator to determine the right amount.

Finally, sign and date the form in box 5 before submitting it to your company.

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Full Question:

Although part of your question is missing, you might be referring to this full question:

DIRECTIONS Read the scenario below and fill out the W-4 form using the information provided. Then, read the W-2 form and answer the questions that follow. W-4 Form Rebecca Kate Foster is starting a new job. She is 23 years old and graduated from college with no student loan debt. This is her only job, and she makes a salary that allows her to bring home $3,300 a month. She’s not married and has no children or anyone else who is supported by her income. Over the past year, she has given a total of $3,960 to charity. Her address is 1234 Main St., New York, NY 12345, and her Social Security number is 123-45-6789.

Answer:

To find the area of the rectangle BCDE, we can use the formula:

Area = length x width

First, we need to find the length and width of the rectangle.

The length of the rectangle is the distance between points B and C, which can be calculated using the distance formula:

distance BC = sqrt((x2 - x1)^2 + (y2 - y1)^2)

= sqrt((-6 - (-9))^2 + (-8 - (-4))^2)

= sqrt(3^2 + (-4)^2)

= sqrt(9 + 16)

= sqrt(25)

= 5

The width of the rectangle is the distance between points C and D:

distance CD = sqrt((x2 - x1)^2 + (y2 - y1)^2)

= sqrt((10 - (-6))^2 + (4 - (-8))^2)

= sqrt(16^2 + 12^2)

= sqrt(256 + 144)

= sqrt(400)

= 20

Since BCDE is a rectangle, the length and width are perpendicular. Therefore, the area of the rectangle can be calculated by multiplying the length and width:

Area = length x width = 5 x 20 = 100

Therefore, the area of BCDE is 100 square units.

Step-by-step explanation:

Answer:

Step-by-step explanation:The six sample minimums are 15, 15, 15, 18, 18, and 20.

To find the mean of all six sample minimums, we add them up and divide by 6:

(15 + 15 + 15 + 18 + 18 + 20) / 6 = 16.1667

So the mean of all six sample minimums is $16,166.67.

The population minimum is the smallest cost among the four cars, which is $15,000.

The sample minimum is a biased estimator of the population minimum. Since the samples are of size 2, the probability of obtaining the population minimum as the sample minimum is only 1/3 (when the minimum of the two cars selected is the population minimum). Therefore, the sample minimum tends to underestimate the population minimum.

A belt runs a pulley at 80 revolutions per minute.

(a) To find the angular speed of the pulley in radians per second, we can use the formula

ω = 2πf

Where

ω = angular speed in radians per second

f = frequency in Hertz

We know that the pulley rotates at a rate of 80 revolutions per minute. To convert this to a frequency in Hertz, we can divide by 60 seconds per minute

f = 80 rev/min ÷ 60 min/s = 4/3 Hz

Now we can plug in this value for f into the formula

ω = 2πf = 2π(4/3) = 8π/3 rad/sec

Therefore, the angular speed of the pulley is 8π/3 radians per second.

(b) To find the linear speed of the belt in centimeters per second, we can use the formula

v = rω

Where

v = linear speed in centimeters per second

r = radius of the pulley in centimeters

ω = angular speed in radians per second

We know the radius of the pulley is given in centimeters. Let's assume it is r cm. We just found the angular speed to be 8π/3 radians per second. Now we can plug in these values into the formula

v = rω = r(8π/3) = (8π/3)r cm/s

Therefore, the linear speed of the belt is (8π/3)r centimeters per second.

The given question is incomplete and the complete question is ''A belt runs a pulley at 80 revolutions per minute. Find the angular velocity of the pulley in radians per second. (b)Find the linear speed of the belt in centimeters per second''.

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