What is the following simplified product? Assume x greater-than-or-equal-to 0 2 StartRoot 8 x cubed EndRoot (3 StartRoot 10 x Superscript 4 Baseline EndRoot minus x StartRoot 5 x squared EndRoot) 24 x cubed StartRoot 5 x EndRoot minus 4 x squared StartRoot 10 x EndRoot 24 x cubed StartRoot 5 x EndRoot minus 4 x cubed StartRoot 10 x EndRoot 24 x cubed StartRoot 5 EndRoot minus 4 x cubed StartRoot 10 x EndRoot 24 x cubed StartRoot 5 x EndRoot + 4 x cubed StartRoot 10 x EndRoot

The equations out of the following that are true would be:

The remaining two I am not certain if they are true or not. The way they were laid out made little to no sense. If you could maybe evaluate further on the other options, perhaps I can double check them for you and see if there are any other remainder options that are true. However, I know for certain that A and B are true.

Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.

Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.

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Answer:

1.4 people out of 10

Step-by-step explanation:

Just divide it by 10

Answer:

only 4 people

Answer:

0.833 repeating or 5/6

Step-by-step explanation:

I just searched it online it that's all

Answer:

5/6

Step-by-step explanation:

first turn 5 into a fraction, this would turn it into 5/1. You then want to multiply 1/6 and 5/1. multiply 1, and 5. then multiply 6, and 1.

Answer:

8wpm

Step-by-step explanation:

all you have to do is find the unit rate so

64 ÷ 8 = 8

8/1

8 words per minute!

Answer:c 4.2 cups

Step-by-step explanation:

just do 63 divided 15

The expression in terms of x that represents the value of the stock after two years have passed is: 1.155x

The value of the stock increased by 10 percent, means its new value is:

x + 0.1x = 1.1x

The value of the stock increased by 5 percent, means its new value is:

1.1x + 0.05(1.1x) = 1.1x + 0.055x = 1.155x

The value of the stock increased by 10 percent, means its new value is 110% of x or 1.1x.

The value of the stock increased by 5 percent, means its new value is 105% of 1.1x or 1.05(1.1x).

To find the value of the stock after two years, we can simplify this expression:

1.05(1.1x) = 1.155x

The expression in terms of x that represents the value of the stock after two years have passed is 1.155x.

If Hunter bought stock in a company two years ago for x dollars, and the value of the stock increased by 10 percent during the first year and 5 percent during the second year, the value of the stock after two years would be 1.155 times the original value, or 1.155x.

The value of the stock increased by a constant percentage each year.

In reality, the value of a stock can be influenced by many factors, and its value may increase or decrease unpredictably.

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A possible formula for the polynomial P(x) is P(x) = (x-3)^2 * x^2 * (x+4). since the root at x=-4 has multiplicity 1, it means that (x+4) is also a factor of the polynomial.

We are given that P(x) has degree 5, a leading coefficient of 1, and roots of multiplicity 2 at x=3 and x=0, and a root of multiplicity 1 at x=-4.

Since the roots at x=3 and x=0 have multiplicity 2, it means that (x-3)^2 and x^2 are factors of the polynomial.

Similarly, since the root at x=-4 has multiplicity 1, it means that (x+4) is also a factor of the polynomial.

Combining these factors, a possible formula for P(x) is P(x) = (x-3)^2 * x^2 * (x+4). This formula satisfies all the given conditions.

It is important to note that there could be other possible formulas for P(x) that also satisfy the given conditions, as there are multiple ways to express a polynomial with the same roots and multiplicities.

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The two equations would be 1.5x + 2.5y = 30, 3x + 1.5y = 40, when we add both the equations we get, 4.5x + 4y = 70, and the value of x is 10.

To solve a system of linear equations in two variables using the substitution in two variables using the substitution method. First solve one of the equations for one variable. Substitute this in the other equation in terms of a single variable. Then solve it for the variable. Now, substitute it in any of the equations to get the value of another variable.

Given:

Add the two equations together:

1.5x + 2.5y = 30

3x + 1.5y = 40

(1.5x + 3x) + (2.5y + 1.5y) = (30 + 40)

4.5x + 4y = 70

Isolate the x-variable by subtracting 4y from both sides of the equation:

4.5x + 4y = 70

4.5x + 4y - 4y = 70 - 4y

4.5x = 70 - 4y

Divide both sides of the equation by 4.5 to solve for x:

4.5x = 70 - 4y

4.5x/ 4.5 = (70 - 4y)/4.5

x = (70 - 4y) / 4.5

Substitute the value of y from the first equation:

1.5x + 2.5y = 30

2.5y = 30 - 1.5x

y = (30 - 1.5x) / 2.5

Substitute the value of y into the equation for x and solve:

x = (70 - 4y) / 4.5

x = (70 - 4((30 - 1.5x) / 2.5)) / 4.5

x = 10

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The probability of drawing a white chip first and a blue chip second is 1/5.

To find the probability of drawing a white chip first and a blue chip second, we can use the formula for conditional probability.

Conditional probability is the probability of an event occurring given that another event has already occurred. It is represented by the notation P(A|B), where A is the event of interest and B is the event that has already occurred.

The formula for conditional probability is:

P(A|B) = P(A and B) / P(B)

This formula expresses the probability of event A occurring given that event B has occurred, as a ratio of the probability of the two events occurring together and the probability of event B occurring alone.

Where A is the event of drawing a white chip first and B is the event of drawing a blue chip second.

We know that the probability of drawing a white chip first is 3/10 (since there are 3 white chips out of a total of 10 chips in the bowl), so P(A) = 3/10.

Once a white chip has been drawn, there are 9 chips left in the bowl, with 6 of them being blue. This means that the probability of drawing a blue chip second given that a white chip has already been drawn is 6/9, so P(B|A) = 6/9.

By multiplying these two probabilities together, we get:

P(A and B) = (3/10) * (6/9) = (3/10) * (2/3) = 6/30 = 1/5

Therefore, the probability of drawing a white chip first and a blue chip second is 1/5.

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The dimensions of a different sector with the same area and perimeter are An alternative sector's radius is 6.42 inches. An alternative sector has an arc length of 16.52 inches.

The distance between two places along a segment of a curve is known as the arc length.

Sector radius, r = 8.26 inches

Sector arc length = 12.84 inches

Sector perimeter = 2r + length of the arc

The specified sector's perimeter is equal to 2 x 8.26 x 12.84 x 29.36 inches.

The circle's circumference is 2 + 8.26 + 16.52.

The specified circle's area is A = 8.262 * 68.2276.

Sector area, A = 53.0292 inch2

Consequently, we have;

2R plus A equals 29.36 inches

A·R = 53.0292 × 2

that provides;

R² + 53.0292 = 14.68·R

R² - 14.68·R + 53.0292 = 0

using a graphing calculator to factor yields;

(R - 6.42)·(R - 8.26) = 0

R = 6.42 or R = 8.26

R = 8.26 is the measurement for the first sector.

Due to the distinctions between the sectors, we have;

R = 6.42 inches is the radius of the other sector.

The length of the arc, A = 29.36 - 2R

∴ A = 29.36 - 2 × 6.42 = 16.52

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Given the inverse demand function p = 100 - 20q for toasters and a price of $35, we can find the consumer surplus.

First, we'll find the quantity demanded at the given price:

35 = 100 - 20q
20q = 100 - 35
q = (100 - 35) / 20
q = 65 / 20
q = 3.25

Now, to find the consumer surplus, we'll use the formula:

Consumer Surplus = (1/2) × Base × Height

The base represents the quantity (q = 3.25) and the height is the difference between the maximum willingness to pay (p = 100) and the actual price (p = 35).

Consumer Surplus = (1/2) × 3.25 × (100 - 35)
Consumer Surplus = 0.5 × 3.25 × 65
Consumer Surplus = 105.625

So, the consumer surplus is $105.63 when rounded to two decimal places.

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Check the picture below.

\(tan(\theta )=\cfrac{\stackrel{opposite}{282}}{\underset{adjacent}{137}}\implies \theta =tan^{-1}\left( \cfrac{282}{137} \right)\implies \theta \approx 64^o\)

Make sure your calculator is in Degree mode.

Answer:

I believe the answer is 121.

Step-by-step explanation:

Formula: (a)n = a + (n - 1)d

(a)n = nth Term of the Sequence

a = First Term in the Sequence

d = Common Difference

112th = 15 + (112 - 1)-5

112th = 15 + 111 - 5

112th = 121

Answer:

Step-by-step explanation:

{ 15, 5, -5, -15...}

the rule is

\(a_{1} = 15, a_{n} = a_{n-1} -10\)

the 112th term

\(a_{112} = a_{1} + (n-1) *d\\\\a_{112} = 15 + (112 -1) * (-10)\\\\a_{112} = 15 - 1110\\\\a_{112} = -1095\)

Answer: y= x + 4

Step-by-step explanation:

Answer:

4m  ruhb

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

so from left to right, first row -18 and 63

second row, 6 and -21

bottom row, -108, -3, so the question mark is 36

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

For the vector field f = 2x², −3y², z², Divergence (∇·f) = 4x - 6y² + 2z, Curl (∇×f) = (0, 0, 0).

To compute the divergence (∇·f) and the curl (∇×f) of the vector field f = (2x², -3y², z²), we can use the vector calculus operators. Divergence (∇·f),

In this case, the divergence of f is the partial derivative of each part of the field, for f = (2x², -3y², z²), we have,

∂f₁/∂x = 4x

∂f₂/∂y = ∂(-3y²)/∂y = -6y²

∂f₃/∂z  = 2z

Therefore, the divergence of f is,

∇·f = 4x - 6y² + 2z

Curl (∇×f),

The curl of a vector field f = (f₁, f₂, f₃) is given by the cross product of the curl operator (∇×) and the vector field. In this case, the curl of f is,

∇×f  = (i∂/∂x + j∂/∂y + k∂/∂y) x (i2x², -j3y², kz²)

Basically we can write  (i2x², -j3y², kz²) as (f₁, f₂, f₃)

we have,

∂f₁/∂z = 0

∂f₂/∂x = ∂(-3y²)/∂x = 0

∂f₃/∂y = ∂(z²)/∂y = 0

Therefore, the curl of f is,

∇×f = (0, 0, 0)

In this case, the curl of f is the zero vector, indicating that the vector field f is irrotational.

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Complete question - compute the divergence ∇·f and the curl∇✕f of the vector field. f = 2x², −3y², z².

volume= 16/3, A coordinate plane is a graphing and description system for points and lines. A vertical (y) axis and a horizontal (x) axis make up the coordinate plane. There are four quadrants in the coordinate plane. The point where these lines connect is called the origin (0, 0).

limits

z= 0 to z = 4-y-2x

y= 0 to y = 4- 2x

x= 0 to x= 2

volume

v= \(\int\limits^2_0 \int\limits^4_0 \int\limits^4_0 dzdydx\)

v= \(\int\limits^2_0 \int\limits^4_0 (4-y-2x) dydx\)

v= \(\int\limits^2_0 ( 4y- y^{2} / 2 - 2xy) ^4^-^2^x _0\)

dx= \(\int\limits^2_0 [ 16-8x - 16+ 4x^2 - 16x / 2 - 8x+ 4x^2 ] dx\)

v= \(\int\limits^2_0 [ 8+ 2x^2- 8x] dx\\\)

= [ 8x + 2x^3 / 3 - 8x^2 / 2 ] ^2_0

= [16+ 16/3- 16]

v= 16/3

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Complete Question

Question: Sketch The Tetrahedron Enclosed By The Coordinate Planes And The Plane 2x+Y+Z=4. Use A Triple Integral To Find The Volume Of The tetrahedron

1. A mathematical expression showing the amount Trey will owe for his car is y = 2x.

2. For an 11-day rental, the amount that Trey will owe for his car is $22.

A mathematical expression is a mathematical statement that shows the value of the expression, which is always made up of numbers, variables, constants, coefficients, and mathematical operations.

Mathematical operations include addition, subtraction, division, and multiplication.

Let the daily rental charge = $2

The number of days the car is rented = x

The total rental charge = y

y = 2x.

For an 11-day rental:

y = 2 x 11

y = 22

y = $22

Thus, the expression that shows the amount that Trey would owe for an 11-day rental is $22.

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Answer:

x    y

2    2

4     4

9       9

Step-by-step explanation:

There are 57 different ways a person can vote for the regional judges.

To determine the number of different ways a person can vote for regional judges, we can use the concept of combinations. In this case, we want to find the number of ways to choose a certain number of judges from a total of 6 candidates.

Since voters can choose to vote for 0, 1, 2, 3, or 4 judges, we need to find the sum of all the possible combinations for each number of judges.

For choosing 0 judges, there is only one possible combination (choosing none).

For choosing 1 judge, there are 6 possible combinations (choosing one out of the six candidates).

For choosing 2 judges, there are \(C(6, 2) = 15\) possible combinations. This is calculated using the combination formula, which  \(C(n, r)\)represents the number of combinations of choosing r items from a set of n items.

For choosing 3 judges, there are \(C(6, 3) = 20\) possible combinations.

For choosing 4 judges, there are \(C(6, 4) = 15\) possible combinations.

To find the total number of different ways a person can vote, we sum up the number of combinations for each scenario:

\(1 + 6 + 15 + 20 + 15 = 57\)

Therefore, there are 57 different ways a person can vote for the regional judges.

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When a point falls outside of control limits in statistical process control, the probability is quite high that the process is experiencing special cause variation.

In statistical process control (SPC), control limits are used to define the range within which a process is expected to operate under normal or common cause variation. Common cause variation refers to the inherent variability of a process that is predictable and expected.

On the other hand, special cause variation, also known as assignable cause variation, refers to factors or events that are not part of the normal process variation. These are typically sporadic, non-random events that have a significant impact on the process, leading to points falling outside of control limits.

When a point falls outside of control limits, it indicates that the process is exhibiting a level of variation that cannot be attributed to common causes alone. Instead, it suggests the presence of specific, identifiable causes that are influencing the process. These causes may include equipment malfunctions, operator errors, material defects, or other significant factors that introduce variability into the process.

Therefore, when a point falls outside of control limits in statistical process control, it is highly likely that the process is experiencing special cause variation, which requires investigation and corrective action to identify and address the underlying factors responsible for the out-of-control situation.

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Answer: the last question at the very bottom

Step-by-step explanation:

the graph is not a scatter plot, so its a line plot .

The area of the triangle using calculus is 2 unit²

Given,

Vertices of the triangle = (2, 0) (0, 2) (-1, 1)

We know that these are in the form of (x, y) coordinates.

We can find area using the formula:

[Ax (By – Cy) + Bx (Cy – Ay) + Cx (Ay – By)] ÷ 2

Here,

(Ax, Ay) = (2, 0)

(Bx, By) = (0, 2)

(Cx, Cy) = (-1,1)

Now, substituting the values and solve:

[Ax (By – Cy) + Bx (Cy – Ay) + Cx (Ay – By)] ÷ 2

= [2 (2 – 1) + 0 (1 – 0) + (-1) (0 – 2)] ÷ 2

= [ (2 x 1) + (0 x 1) + (-1 x -2)] ÷ 2

= [2 + 0 + 2] ÷ 2

= 4 ÷ 2

= 2

That is, the area of triangle is 2 unit²

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It will take the town 21 years 4 months to reach 4600 in population

a rate is a ratio that compares two different quantities which have different units. For example, if we say John types 50 words in a minute, then his rate of typing is 50 words per minute. The word "per" gives a clue that we are dealing with a rate.

initial population = 3000

population increase every year = 2.5% of 3000

which is 2.5/100 x 3000 = 75

let the time taken to reach 4600 be d

increment for d number of years = 75d

Total population after d years is 75d + 3000

so 75d + 3000 = 4600

75d = 4600  - 3000

75d = 1600

d = 1600/75

d = 21.33 years which is 21 years 4 months

In conclusion 21 years 4 months is the time taken for the ton tto get tto 4600

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The decimal division of 18.92 by 11 gives us; 1.72

When dividing decimals,  we first have to convert the divisor to a whole number by moving the decimal point to the right. Thereafter, we now carry the dividend's decimal point up to the exact same number of places to the right and then divide the resultant numbers in the normal way, like in regular long division.

We want to divide 18.92 by 11. Thus, let us apply that rule described above to get;

18.92/11 = 1892/1100

= 1 + (1892 - 1100)/1100

= 1 + (792/1100)

= 1 + 0.72

= 1.72

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X has a normal distribution, X that will give it a mean of zero and a variance , then the mean of Y = E(10+5X) = 1020

The variance is a measure of variability. It is calculated by taking the average of squared deviations from the mean. Variance tells you the degree of spread in your data set. The more spread the data, the larger the variance is in relation to the mean.

Given that,

E(x) = 30

Var(x) = 144

E(y) = ?

Var(y) = 144

Then,

E(10+5X)

To do this, we make use of the following equation

E(ax + by) = a E(x) + b E(y)

E(10+5X) = 10 E(x) + 5 E(y)

E(10+5X) = 10*30 + 5*144

E(10+5X) = 300 + 720

E(10+5X) = 1020

Therefore,

X has a normal distribution, X that will give it a mean of zero and a variance , then the mean of Y = E(10+5X) = 1020

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