Buddie is filing his federal income tax return with the 1040EZ form using the Single filing status, and nobody can claim him as a dependent. If he had wages, salaries, and tips of $53,100, taxable interest of $230, and no unemployment compensation, what should he enter on line 6 of the Income section below?




A.
$0

B.
$43,980

C.
$34,630

D.
$53,330

The slope of x - 3y = -9 is, m = 1/3, while the y-intercept (b) is 3.

The sketch of x - 3y = -9 is shown below.

To determine the slope and y-intercept of the line given by the equation x - 3y = -9, we can rewrite it in slope-intercept form y = mx + b, where m is the slope and b is the y-intercept.

To do this, we can solve for y:

x - 3y = -9

-3y = -x - 9

y = (1/3)x + 3

Now we can see that the slope of the line is m = 1/3, and the y-intercept is b = 3.

To sketch the line, we can use the slope and y-intercept. We can start by plotting the y-intercept (0,3) on the y-axis. From there, we can use the slope of 1/3 to find additional points on the line. For example, if we move 3 units to the right along the x-axis, we can move up 1 unit (since the slope is 1/3) to get another point on the line, which is (3,4). We can repeat this process to find more points on the line and then connect them to sketch the line.

The sketch is shown below in the attachment.

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4.835

(full number)

4.8357033e+24

2^82 = 4.83 We have to add the decimal to fine the real number.

A decimal is a number that consists of a whole and a fractional part. Decimal numbers lie between integers and represent numerical value for quantities that are whole plus some part of a whole.

For example, \(= > 3^82 = 1.33\) so:

→ 2^82

→ = 4.83 with a decimal.

Therefore, 2^82 = 4.83 We have to add the decimal to fine the real number.

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The ratio of the given 240 kg to 6 kg will be 40:1.

What is Ratio?

Comparing two amounts of the same units and determining the ratio tells us how much of one quantity is in the other. Two categories can be used to categorise ratios. Part to whole ratio is one, and part to part ratio is the other. The part-to-part ratio shows the relationship between two separate entities or groupings. Mathematicians use the term "ratio" to compare two or more numbers. It serves as a comparison tool to show how big or tiny an amount is in relation to another. Two quantities are compared using division in a ratio. In this case, the dividend is referred to as the "antecedent" and the divisor as the "consequent."

the ratio 240 kg to 6 kg.

It will be simple 240/6 :: 40 :1

Hence the ratio of the given data will be 40:1

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Answer:

c = 8

Step-by-step explanation:

Using the Intersecting Chords Theorem, we can form the following equation and solve for c:

\(ab=cd\\(10)(8.8)=11c\\88=11c\\c=8\)

Answer:

A. 1520.5 cm^2

Step-by-step explanation:

The area of a circle can be found using the following equation:

\(a=\pi r^2\)

In this problem, the radius (from the center of the circle to the circumference of the circle) is 22 centimeters. Therefore, we can substitute 22 cm in for r.

r=22 cm

\(a=\pi *22 cm^2\)

First, evaluate the exponent.

22 cm ^2= 22 cm * 22 cm= 484 cm^2

\(a=\pi *484cm^2\)

Multiply pi and 484

\(a=1520.53084 cm^2\)

Round to the nearest tenth. The 3 in the hundredth place tell us to leave the 5 in the tenth place.

\(a= 1520.5 cm^2\)

The area of the circle is 1520.5 square centimeters and A is correct.

9514 1404 393

Answer:

  2.5 miles

Step-by-step explanation:

1A. The formula that applies to time/speed/distance problems is ...

  distance = speed × time

The units of the numbers involved need to be compatible, which is to say the speed units need to be the ratio of distance units to time units.

The other applicable relationship is that the resultant speed in a body of water is the sum of the boat speed and the water speed. When they are in the same direction, the speeds add; when they are in the opposite direction, the net speed is their difference.

__

1B, C. Since Tom is traveling upstream, his net speed is the difference between his paddling speed (8 mph) and the current (3 mph). That is, he makes headway upstream at the rate of 8-3=5 mph. This difference is the "speed" in the formula.

Note that the time is given in minutes, but the units of speed have time units of hours. It is easiest in this problem to translate the time in minutes to a time in hours. (30 min = 1/2 h) This is the "time" in the formula.

We can "let 'distance' represent the distance we're being asked to find in the problem statement."

__

1D. Using the formula, we find ...

  distance = (5 mi/h)(1/2 h)

This is the "formula" equation of part A with speed and time values filled in.

The solution to the equation is simply a matter of performing the indicated arithmetic.

  distance = 2.5 mi

Tom would travel 2.5 miles in 30 minutes.

_____

Additional comment

You may see the above formula written a number of ways. Using single-letter variables, it is often written as ...

  d = rt

where d represents distance, r represents speed, and t represents time. By using whole words for the variable names, I find less explanation is necessary.

By using units along with the numbers in the formula, the units of the answer "fall out". If they don't, then there has been a mistake. For example, if you use 30 minutes instead of 1/2 hour, your answer would be ...

  (5 mi/h)(30 min) = 150 mi·min/h

These units are not distance units, so you know a mistake has been made. (The units multiply and/or cancel the same as any variable(s).)

Answer:

1. Tom's paddles his kayak at a rate of 8 mph in still water. If Tom is traveling upstream in a river with a current of 3 mph, how far would Tom travel in 30 minutes?

Answer:

\(54\)

Step-by-step explanation:

Formula for average A of two numbers m and n is:

\(A=\frac{m+n}{2}\)

Substitute the value m=36 and n=72

\(A=\frac{36+72}{2}\)

This is equivalent to:

\(A=\frac{108}{2}\)

The average is:

\(A=54\)

It would take Patel 30/7 hours to decorate the day's inventory working alone.

An equation is an expression that shows the relationship between two or more numbers and variables.

A variable can either be independent or dependent. Independent variables do not depend on other variables while dependent variables depend on other variables.

Let x represent the time that it would take only Patel working alone. All three can complete the job if they begin at 5 a.m. (2 hours), hence:

(1/6 + 1/10 + 1/x)2 = 1

1/6 + 1/10 + 1/x = 0.5

1/x = 7/30

x = 30/7

It would take Patel 30/7 hours to decorate the day's inventory working alone.

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Answer:

The probability that the paint  latex = 0.857

Step-by-step explanation:

From the given information:

Let consider X to be the event that the customer has purchased the latex paint

Let consider Y to be the event that the customer has purchased semigloss paint.

Now, the probability of X i.e. P(X) = 0.75

SInce X and Y are mutually exhaustive)

P(Y) = 1 - P(X)

P(Y) = 1 - 0.75

P(Y) = 0.25

Similarly, Let Consider Z be the event that the customer has purchased a roller.

We are being told that P(Z|X) = 0.6

P(Z|Y) = 0.30

\(P(X|Z) = \dfrac{P(Z|X)(P(X) }{P(Z|X)*P(X)+P(Z|Y)*P(Y)}\)

\(P(X|Z) = \dfrac{0.6 \times 0.75 }{(0.6 \times 0.75) +(0.3 \times 0.25)}\)

\(P(X|Z) = \dfrac{0.45 }{(0.45) +(0.075)}\)

\(P(X|Z) = \dfrac{0.45 }{0.525}\)

\(P(X|Z) = 0.857\)

Thus, the probability that the paint  latex = 0.857

The concept of probability is used in order to determine the probability that the paint is latex and the probability is 0.857.

Given :

First, determine the probability that a customer will purchase semigloss paint.

\(P(A) = 1- P(B)\\P(A) = 1 - 0.75\\P(A) = 0.25\)

In the above expression P(B) is the probability that a customer will purchase latex paint.

Now, determine the probability that the paint is latex.

\(P(B|C) = \dfrac{P(C|B)\times P(B)}{P(C|B)\times P(B)+P(C|A)\times P(A)}\)

Now, substitute the values of all the known terms in the above expression.

\(P(B|C) = \dfrac{0.6\times 0.75}{(0.6\times 0.75)+(0.3\times 0.25)}\)

Simplify the below expression.

\(P(B|C) = \dfrac{0.45}{(0.45)+(0.075)}\)

\(P(B|C) = \dfrac{0.45}{0.525}\)

\(P(B|C) = 0.857\)

So, the probability that the paint is latex is 0.857.

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The expression that is equivalent to StartRoot \(8 x^7 y^8\) EndRoot is (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2.

To understand why this is the case, let's break down each expression and simplify them step by step:

StartRoot \(8 x^7 y^8\) EndRoot:

We can rewrite 8 as \(2^3\), and since the square root can be split over multiplication, we have StartRoot \((2^3) x^7 y^8\) EndRoot. Applying the exponent rule for square roots, we get StartRoot \(2^3\) EndRoot StartRoot \(x^7\) EndRoot StartRoot \(y^8\) EndRoot.

Simplifying further, we have 2 StartRoot \(2 x^3 y^4\) EndRoot StartRoot \(2^2\) EndRoot StartRoot \(x^2\) EndRoot StartRoot \(y^4\) EndRoot. Finally, we obtain 2 \(x^3 y^4\) StartRoot 2 x EndRoot, which is the expression in question.

(\(2 x y^2\) StartRoot 8 x^3 EndRoot)^2:

Expanding the expression inside the parentheses, we have \(2 x y^2\)StartRoot \((2^3) x^3\) EndRoot. Applying the exponent rule for square roots, we get \(2 x y^2\) StartRoot \(2^3\) EndRoot StartRoot \(x^3\) EndRoot.

Simplifying further, we have \(2 x y^2\) StartRoot 2 x EndRoot. Squaring the entire expression, we obtain (\(2 x y^2\) StartRoot 2 x EndRoot)^2.

Therefore, the expression (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2 is equivalent to StartRoot \(8 x^7 y^8\) EndRoot.

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The value of m that satisfies the equation -3 + m = 9 is m = 12.

To solve the equation -3 + m = 9, we can isolate the variable m by moving the constant term -3 to the other side of the equation.

-3 + m = 9

To move -3 to the other side, we can add 3 to both sides of the equation:

-3 + 3 + m = 9 + 3

Simplifying, we have:

m = 12

Therefore, the value of m that satisfies the equation -3 + m = 9 is m = 12.

None of the provided answer options (A, B, C, D) match the correct solution.

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Therefore, the quotient when x³ - x² - 3x + 2 is divided by x - 2 is x² - 2x - 5 with a remainder of -3.

To find the quotient when x³ - x² - 3x + 2 is divided by x - 2, we will use the long division method. Here is the solution:  

Step 1: The first term of the quotient is x². Multiply x² by x - 2 to get x³ - 2x². Subtract this product from x³ - x² to get: x² - 3x² = -2x²

Step 2: Bring down the next term of the dividend, which is -3x. The new dividend is -2x² - 3x.

Step 3: The second term of the quotient is -2x. Multiply -2x by x - 2 to get -2x² + 4x. Subtract this product from -2x² - 3x to get -5x.

Step 4: Bring down the last term of the dividend, which is +2. The new dividend is -5x + 2. Step 5: The third term of the quotient is -5. Multiply -5 by x - 2 to get -5x + 10. Subtract this product from -5x + 2 to get -3.

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6a. The equation for the graph is y = 2√(x + 5).

6b. The equation for the graph is y = -|x + 1| + 5

In Mathematics and Geometry, the standard form of a square root function can be modeled as follows;

y = a√(x - h) + k

Part 6a.

Next, we would determine value of a as follows;

4 = a√(-1 + 5) + 0

4 = a√4

4 = 2a

a = 2

Therefore, the required square root function is given by;

y = 2√(x + 5)

Part 6b.

Since the line representing the absolute value function has a y-intercept at (0, 4) and vertex at (-1, 5), the absolute value equation for the graph is given by:

y = a|x - h| + k

y = -|x + 1| + 5

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Answer:

D. y <-x - 3

Step-by-step explanation:

-3x + 2y > 5y + 9

Subtract 2y from 5y on the other side

5y - 2y = 3y

-3x > 3y + 9

Add 3x and put it the other side

0 > 3x + 3y + 9

Subtract 3y and put it on the other side

0 - 3y = -3y

-3y > 3x + 9

Divide by -3 on both sides

-3y/-3 > 3x + 9/-3

-3y/-3 = y

3x + 9/-3 = -x - 3

y > -x - 3

MOST IMPORTANT STEP OF ALL: Switch the inequality sign around because you divided with a negative number which is -3. That's a rule in inequality.

y < -x - 3

So your final answer is y < -x - 3

Using the binomial distribution, it is found that:

a) There is a 0.0501 = 5.01% probability that you need to contact four people.

b) You expect to contact 1.82 students until you find one who lives within five miles of you.

c) The standard deviation is of 1.22 students.

d) 0.3369 = 33.69% probability that 3 of them live within five miles of you.

e) It is expected that 2.75 students live within five miles of you.

For each student, there are only two possible outcomes. Either they live within 5 miles of you, or they do not. The probability of a student living within 5 miles of you is independent of any other student, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

In this problem:

Item a:

This probability is P(X = 0) when n = 3(none of the first three) multiplied by 0.55(the fourth does live within five miles), hence:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{3,0}.(0.55)^{0}.(0.45)^{3} = 0.091125\)

\(p = 0.091125(0.55) = 0.0501\)

0.0501 = 5.01% probability that you need to contact four people.

Item b:

The expected number of trials in the binomial distribution until q successes is given by:

\(E = \frac{q}{p}\)

In this problem, \(p = 0.55\), and 1 trial, thus \(q = 1\), hence:

\(E = \frac{1}{0.55} = 1.82\)

You expect to contact 1.82 students until you find one who lives within five miles of you.

Item c:

The standard deviation of the number of trials until q successes are found is given by:

\(S = \frac{\sqrt{q(1 - p)}}{p}\)

Hence:

\(S = \frac{\sqrt{0.45}}{0.55} = 1.22\)

The standard deviation is of 1.22 students.

Item d:

This probability is P(X = 3) when n = 5, hence:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 3) = C_{5,3}.(0.55)^{3}.(0.45)^{2} = 0.3369\)

0.3369 = 33.69% probability that 3 of them live within five miles of you.

Item e:

The expected value of the binomial distribution is:

\(E(X) = np\)

Hence:

\(E(X) = 5(0.55) = 2,75\)

It is expected that 2.75 students live within five miles of you.

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the value of the investment when she retires is $26434.92.

Compound interest is when you earn interest on both the money you've saved and the interest you earn.

Formula:

A = P(1 + {r}/{n})^{n.t}

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

here, we have,

given that,

Leilamade a one-time investment of $12 000.00 in a

registered retirement savings plan (RRSP) at 2.65%, compounded

semi-annually.

She plans to withdraw the money when she retires in 30

years.

So, she get finally is,

using the formula we get,

$26434.92

hence,  the value of the investment when she retires is $26434.92.

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Answer:

The situation is Multiplicative.

The equation will be \(y=2x\)

Step-by-step explanation:

We are given the table:

Input (x)          5       8      11

Output (y)      10     16     22

Looking at the table, we see that the value of x is doubled to get value of y

Looking at the trend: 5(2) = 10

8(2) = 16

11(2) = 22

The value of x is multiplies by 2 to get value of y.

So, The situation is Multiplicative.

Now, The equation will be \(y=2x\)

because we saw the trend, that every value of x is multiplied by 2 to get value of y.

hey sorry bout your acc D:

The value of x for the second triangle if it is the reduction of the first drawing is 6.3 feet.

Given two triangles.

Also given that, the scale drawings given are the reduction of the figure.

Most probably, the second triangle must be formed after a reduction with a scale factor of k.

Let k be the required scale factor.

The value of k can be found by taking the ratio of the corresponding sides.

k = 5.2 / 10.4

  = 0.5

So all the corresponding sides will be half of the first triangle.

x = 0.5 × 12.6

  = 6.3 feet

Hence the value of x is 6.3 feet.

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Answer:

719/47 is 15.29787234

Answer:

4231

Step-by-step explanation:

Take the test

Points that are not on the same line are said to be noncollinear.

The set of points between A and C is a line segment.

From the question, we understand that A, B and C are not on the same line.

We do not know if the distance between AB is the same as the AC and BC, so the set of points cannot be a circle.

For the set of points to be an angle, it must pass through A, B and C.

Since it only passes through A and C, the set of points cannot be an angle.

A ray has only one endpoint, so the set of points cannot be a ray.

A line segment has two endpoints;

Since the points are between A and C, we can consider A and C as the endpoints of the line.

Hence, the set of points between A and C is a line segment.

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Chinooks are dry winds that can cause rapid temperature changes and can be indicated by a strong pressure gradient or a cold front. High humidity or low pressure systems are not indicators of a Chinook.

A Chinook is a type of wind that occurs in certain parts of the world, including parts of the United States and Canada. Chinooks are characterized by strong, dry winds that can cause rapid changes in temperature and can lead to dangerous weather conditions.

One indication that a Chinook may develop is a strong pressure gradient, which is a difference in atmospheric pressure between two locations. This can create strong winds that can lead to the formation of a Chinook. Another indication is the presence of a cold front, which is a boundary between colder and warmer air masses. Cold fronts can bring strong winds and precipitation, and can also contribute to the development of a Chinook.

One thing that would not be an indication that a Chinook may develop is the presence of high humidity. Chinooks are typically associated with dry, arid conditions, and high humidity would not be conducive to the formation of a Chinook. Other factors that may not be indicators of a Chinook include the presence of low pressure systems or the absence of warm air masses

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Answer:

It is a relflection.This is a reflection horizontally bc they are not dialatedor rotated. please vote brainliest

Step-by-step explanation:

Answer:

I don't get it the two triangles look the same

Step-by-step explanation:

The length of the segment is 2.4 centimeters.

The scale is 2.4 cm :24 mm.

How to change mm to cm?

One millimeter, or one-thousandth of a meter, is equal to one mm. One centimeter, also known as one hundredth of a meter, is equal to one centimeter.

Accordingly, 1 cm 10 mm. Divide the number of mm by 10 to get the number of cm when converting mm to cm.

Given that length of the segment is 24mm. now we know that,1 mm is equal to 0.1 cm,

So,

\(10 \: mm=1 \: cm \\ or, \: 1 \: mm = \frac{1}{10} \: cm \\ or, 24 \: mm × ( \frac{1}{10} ) = 2.4 \: cm.\)

The scale is 2.4 cm :24 mm.

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We have that the formula of the volume of a Sphere is

a.

the radius of the sphere is r=2

the volume will be

b.

the radius of the sphere is r=4

the volume will be

c. as we can see the radius of the sphere b, is twice the radius of sphere a, but as we can see because we calculated the volume of spheres, the volume of the sphere b is much bigger than the twice of the volume of the sphere a. It is because we don't have a linear relationship because we have an exponent 3 in the radius in the formula of the volume

From the graph, the coordinates of the points of the equation y=(x-1)(x-3): (1,0) (4,0), P(0,3) and turning point (2.5,2)

You should know that these are possible reading from the graph

The scale of the graph is [laced at 1 com to 1 unit on both axes

From the graph, the coordinates of A are (1, 0) This is where x=1 and y=0

The coordinates of B = (4, 0) This is where x=4 and y=0

b)  The coordinates of point P are (0,3) This is where x=0 and y= 3

c) The coordinates of the turning point are (2.5, 2) This is the minimum value of the curve

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