Randy divides (2x4 – 3x3 – 3x2 7x – 3) by (x2 – 2x 1) as shown below. what error does randy make? x squared minus 2 x 1 startlongdivisionsymbol 2 x superscript 4 baseline minus 3 x cubed minus 3 x squared 7 x minus 3 endlongdivisionsymbol. minus 2 x superscript 4 baseline minus 4 x cubed 2 x squared to get a remainder of x cubed minus 5 x squared 7 x. minus x cubed minus 2 x squared x to get a remainder of negative 3 x squared 6 x minus 3. minus negative 3 x squared 6 x minus 3 to get a remainder of 0 and a quotient of 2 x squared x 3. he makes a subtraction error. he makes an error writing the constant term in the quotient. he makes an error choosing the x-term in the quotient. he makes an error rewriting the problem in long division.

Answer:

Step-by-step explanation:

two

Aryon is left with $9.25 of money after he has paid for his lunch.

According to the question,

We have the following details:

Total amount Aryon has = $20

The cost of 1 coke = $1.50

So, the cost of 2 cokes = $(2*1.50)

The cost of 2 cokes = $3

The cost of a sandwich = $5.50

The cost of a bag of chips = $2.25

So, the total cost of all the materials = the cost of 2 cokes + the cost of a sandwich + the cost of a bag of chips

The total cost of all materials = $(3+5.50+2.25)

The total cost of all materials = $10.75

Now, the money Aryon has = Total money he has - the total cost of all materials

The money Aryon is left with = $(20-10.75)

The money Aryon is left with = $9.25

Hence, the money Aryon is left with is $9.25.

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Answer:

8 liters for 1 minute

Step-by-step explanation:

Divide 32 by 4 = 8

And so the unit rate 8/1

Answer:

\(\boxed{5(x+1)}\)

Step-by-step explanation:

Associative Property

\(\boxed{a+(b+c)= (a+b)+c}\)

\(\boxed{a \cdot (b\cdot c)= (a \cdot b) \cdot c}\)

Commutative Property

\(\boxed{ b \cdot a = a \cdot b}\)

\(\boxed{a+b= b+c}\)

Distributive Property

\(\boxed{ a(b+c)= ab+ac }\)

\(\boxed{ a(b-c)= ab+ac }\)

\(2x + 8 + 3x - 3 =5x+5 = \boxed{5(x+1)}\)

Answer:

one quarter (.25) + three dimes (.30) = .55

As calculated from the given data Jane's calorie intake is 1200 per day.

From the details given in the question we can say that Jane doesn't likes milk. Hence, she lacks dairy fat  in her food. As per the given case she likes vegetables and eats fruit a lot. Therefore, and the grams of total caloric intake for her should be 1200 calories per day.

She does, however, lack fats from dairy products like milk. A child of 8 years old is thought to need at least 2 cups of milk or its equivalent each day. Jane is getting enough carbohydrates because she consumes 225 gram per day as opposed to the recommended 130 gram.

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We have: P(brown then yellow) = 2/11 and P(green then green) = 2/132.

What is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.

let's calculate the probability of selecting a brown marble followed by a yellow marble without replacement:

P(brown then yellow) = (4/12) * (6/11) = 24/132 = 2/11

We multiply 4/12 (the probability of selecting a brown marble on the first draw) by 6/11 (the probability of selecting a yellow marble on the second draw, after one brown marble has already been removed). Note that we divide by 11 on the second draw, as there are now only 11 marbles left in the bag.

Now let's calculate the probability of selecting two green marbles without replacement:

P(green then green) = (2/12) * (1/11) = 2/132

We multiply 2/12 (the probability of selecting a green marble on the first draw) by 1/11 (the probability of selecting another green marble on the second draw, after one green marble has already been removed). Again, note that we divide by 11 on the second draw, as there are now only 11 marbles left in the bag.

So, we have:

P(brown then yellow) = 2/11

P(green then green) = 2/132

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Answer:

hello!!

i like ur pfp! :)

The value οf the annuity after 120 depοsits is $1,059,780.64.

Cοmpοund interest is interest that is earned nοt οnly οn the principal amοunt but alsο οn any interest earned οn that principal amοunt οver time.

Tο determine the value οf the annuity, we can use the fοrmula fοr the future value οf an annuity:

\(A = P \times \dfrac{(1 + r/n)^{(nt)} - 1)}{(r/n)}\)

where A is the future value οf the annuity, P is the mοnthly depοsit amοunt, r is the annual interest rate, n is the number οf times the interest is cοmpοunded per year, and t is the tοtal number οf depοsits.

In this case, P = $100, n = 2 (since interest is cοmpοunded semi-annually), t = 120, and r is the interest rate per year, sο we need tο find r. Tο dο this, we can use the fοrmula:

\(A = P\times (1 + r/n)^{(nt)\)

where A is the future value of the annuity after t depοsits.

Substituting the given vaIues, we have:

\(\$100 \times (1 + r/2)^{(2\cdot120)\) = A

SimpIifying, we get:

\((1 + r/2)^{240} = A/100\)

Taking the natural lοgarithm of both sides, we get:

\(ln(1 + r/2)^{240} = ln(A/100)\)

240*ln(1 + r/2) = ln(A/100)

ln(1 + r/2) = ln(A/100)/240

Solving for r, we get:

\($r = 2 \times \frac{e^{(ln(A/100)}}{240) - 1}\)

Substituting the given vaIues, we get:

r = 0.4902 or 49.02%

Now we can plug in all the values into the original fοrmula for the future value οf the annuity:

\(A = $100\times \dfrac{(1 + 0.4902/2)^{(2\cdot 120) - 1)}}{0.4902/2}\)

SimpIifying, we get:

A = $1,059,780.64

Therefοre, the value οf the annuity after 120 depοsits is $1,059,780.64.

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Answer:

B 9

Step-by-step explanation:

We have 6 green socks, 18 purple socks, and 12 orange socks.

Adding more purple sock means 6 green socks, 18+x purple socks, and 12 orange socks.

We have a  probability of 60% of getting a purple sock.

P( purple) = number of purple socks / total

.60 = (18+x) / (6+18+x+12)

.60 = (18+x) / (36+x)

Multiply each side by 36+x

21.6 +.6x = 18+x

Subtract 18 from each side

3.6x +.6x = x

Subtract .6x from each side

3.6x = .4x

Divide each side by .4

9 =x

Jamal added 9 purple socks

The critical t-score for estimating the population mean using a 99% confidence interval and a random sample of 35 individuals is approximately 2.733.

To estimate a population mean using a 99% confidence interval and a random sample of 35 individuals, you need to find the critical t-score.

Step 1: Determine the degrees of freedom. For a sample of 35 individuals, the degrees of freedom (df) = sample size - 1 = 35 - 1 = 34.

Step 2: Find the critical t-score using a t-table or an online calculator. For a 99% confidence interval and 34 degrees of freedom, the critical t-score is approximately 2.733.

Your answer: The critical t-score for estimating the population mean using a 99% confidence interval and a random sample of 35 individuals is approximately 2.733.

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By using a sampling technique  we ensure that we choose a sample of students that is representative of all 8:00 am classes.

There are  varieties of sampling strategies: chance sampling includes random selection, permitting you to make sturdy statistical inferences approximately the complete organization. Non-opportunity sampling entails non-random selection primarily based on convenience or different standards, permitting you to without problems gather records.

Random sampling is part of the sampling technique wherein every sample has an same possibility of being chosen. A sample chosen randomly is meant to be an unbiased representation of the overall population.

explanation;

we conclude the

Since the students' lecture hallsare on different building the samples are

Dividing the students into groups, the students will be grouped by the buildings of their lecture halls.

The number of students in each building is:

There are 100 students in each building

Then select at random an equal proportion of student from each building let 20 students in each building.

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The dimensions of the cardboard envelope are length, 13.1 cm and width, 13.1 cm.

Since the cardboard envelope for a compact disc is a square with an area of 171.61 square centimeters, the area, A of the cardboard envelope = 171.61 cm².

Since the cardboard envelope is a square, its area is A = L² where L = length of side the cardboard envelope = dimension of cardboard envelope.

To find the dimensions of the cardboard envelope, we take the square-root of the area of the cardboard envelope.

Since A = L²

L = √A

substituting the value of A = 171.61 cm² into the equation, we have

L = √A

L = √(171.61 cm²)

L = 13.09 cm

L ≅ 13.1 cm

Since the length of side of the cardboard envelope is 13.1 cm and its is a square, both dimensions are equal. That is, its length and width are equal.

So, the length of the cardboard envelope is 13.1 cm and the width of the cardboard envelope is 13.1 cm

So, the dimensions of the cardboard envelope are length, 13.1 cm and width, 13.1 cm.

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Take a look at the graph of \(f(x)=|x|\), also known as the absolute value of \(x\).

As shown by the graph attached, it is V-shaped, opens up, and is symmetric with respect to the vertical/y-axis.

Answer:

\(a=10\)

Step-by-step explanation:

Equation 1:  \(2a+3b=-1\)

Equation 2: \(4a+2b=26\)

Subtract 3b from both sides in Equation 1:

\(2a=-1-3b\)

Divide both sides by 2:

\(\frac{2a}{2}=-\frac{1-3b}{2}\)

\(a=\frac{-1-3b}{2}\)

Substitute this into Equation 2:

\(4* \frac{-1-3b}{2}+2b=26\)

\(2\left(-3b-1\right)+2b=26\)

\(-6b-2+2b=26\)

\(-4b-2=26\)

Add 2 to both sides:

\(-4b=28\)

Divide both sides by -4:

\(\frac{-4b}{-4}=\frac{28}{-4}\)

\(b=-7\)

We know that \(a=\frac{-1-3b}{2}\). Plug in b = -7 value:

\(a=\frac{-1-3\left(-7\right)}{2}\)

\(a=\frac{-1+3\cdot \:7}{2}\)

\(a=\frac{20}{2}\)

\(a=10\)

The set which represent the given set function { ..., 0, 1, 2, 3}

Set notation is used in math to list numbers, objects or outcomes.

It uses curly brackets called "braces". Objects placed within the braces are the elements of the set.

The ∈ symbol means "is an element of".

Therefore, x ∈ I means that x is an element of the set of integers. (Integers are whole numbers that can be positive, negative, or zero).

The ≤ symbol means "less than or equal to".

Given set notation:  

{ x | x ∈ I, x ≤ 3 }

Therefore, x ≤ 3 means that x is less than or equal to 3.

The given set notation means x is an element of the set of integers less than or equal to 3.

Therefore:

{ x | x ∈ I, x ≤ 3 } = { ..., 0, 1, 2, 3}

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The equilibrium point for the supply and demand equations p² + 4q = 253 and 183p² + 6q = 0 is (q, p) = (3, 10).

To find the equilibrium point, we need to solve the system of equations formed by the supply and demand equations. By substituting the value of q = 3 into the first equation, we get p² + 4(3) = 253, which simplifies to p² + 12 = 253.

Solving this equation gives us p = 10. Substituting the values of q = 3 and p = 10 into the second equation, we get 183(10)² + 6(3) = 0, which simplifies to 18300 + 18 = 0.

Since this equation holds true, we have found the equilibrium point to be (q, p) = (3, 10), where the equilibrium quantity is q = 3 and the equilibrium price is p = 10.

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Answer:

scalene triangle

Answer:

RR' || SS'

Step-by-step explanation:

because if you look at the image you see that RR' is parallel to SS'

y = -1x - 6

Slope (m) = 1-

The difference between the numbers (8.974×10^−4) and (2.560×10^−3) can be calculated by subtracting the second number from the first number. The result is approximately -1.6626×10^−3.

Explanation: To calculate the difference between the numbers, we subtract the second number from the first number. In this case, the first number is (8.974×10^−4) and the second number is (2.560×10^−3).

Subtracting the second number from the first number, we have (8.974×10^−4) - (2.560×10^−3). To perform the subtraction, we need to make sure that the numbers have the same exponent.

We can rewrite (8.974×10^−4) as (0.8974×10^−3) and (2.560×10^−3) as (2.56×10^−3). Now, we can subtract these two numbers: (0.8974×10^−3) - (2.56×10^−3).

Performing the subtraction, we get -1.6626×10^−3. Therefore, the difference between the numbers (8.974×10^−4) and (2.560×10^−3) is approximately -1.6626×10^−3.

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If the value of the function f(x) is 7, then the value of x is –16, and 24. Then the correct option is B.

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

The given function is f(x) = 0.5 |x – 4| – 3

If the value of the function f(x) is 7, then the value of x will be

0.5 |x – 4| – 3 = 7

      0.5 |x – 4| = 10

            |x – 4| = 20

             x – 4 = ±20

For positive signs, we have

x – 4 = 20

      x = 24

For negative signs, we have

x – 4 = –20

     x = –16

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The inequality that shows the number of hours Fiona needs to babysit in order to reach her goal is h>9.

What is inequality?

The idea of inequality, which is the state of not being equal, especially in terms of status, rights, and opportunities1, is at the core of social justice theories. However, because it frequently has diverse meanings to different people, it is prone to misunderstanding in public discourse.

Given that,

Fiona wants to earn at least \(\$\)100

She makes \(\$\)11/hour

in order to reach her goal = 100/11 = \(\$\)9.09 .

The inequality that shows the number of hours Fiona needs to babysit in order to reach her goal is h>9.

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To find the orthogonal projection of a vector onto a subspace, we can use the formula:

projᵥ(u) = A(AᵀA)⁻¹Aᵀᵤ,

where A is a matrix whose columns span the subspace, and u is the vector we want to project.

In this case, the subspace W is spanned by the vector v = [0, 0, 0, 1].

Let's calculate the orthogonal projection of u onto W using the formula:

A = [v]

The transpose of A is:

Aᵀ = [vᵀ].

Now, let's substitute the values into the formula:

projᵥ(u) = A(AᵀA)⁻¹Aᵀᵤ

= v⁻¹[vᵀ]u

= [v][(vᵀv)⁻¹vᵀ]u

Substituting the values of v and u:

v = [0, 0, 0, 1]

u = [1, 0, 0, 0]

vᵀv = [0, 0, 0, 1][0, 0, 0, 1] = 1

[(vᵀv)⁻¹vᵀ]u = (1⁻¹)[0, 0, 0, 1][1, 0, 0, 0] = [0, 0, 0, 1][1, 0, 0, 0] = [0, 0, 0, 0]

Therefore, the orthogonal projection of u onto the subspace W is [0, 0, 0, 0].

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The coffee will reach a temperature of 143 degrees Fahrenheit in approximately 18.67 minutes.

Newton's law of cooling states that the rate of cooling of an object is proportional to the temperature difference between the object and its surroundings. Mathematically, we can write this as:

dT/dt = -k(T - T_s)

where dT/dt is the rate of change of temperature with respect to time, T is the temperature of the object, T_s is the temperature of the surroundings, and k is a constant of proportionality.

In this problem, we are given that the coffee has a temperature of 200 degrees Fahrenheit when freshly poured and cools to 188 degrees Fahrenheit after 2 minutes in a room at 80 degrees Fahrenheit. Let's call the time at which the coffee reaches a temperature of 143 degrees Fahrenheit as t.

Using Newton's law of cooling, we can set up an equation as:

(dT/dt) = -k(T - T_s)

Integrating both sides, we get:

ln(T - T_s) = -kt + C

where C is a constant of integration.

Using the initial conditions, we can solve for C:

ln(200 - 80) = -k(0) + C

C = ln(120)

So the equation becomes:

ln(T - 80) = -kt + ln(120)

Now we can use the fact that the temperature of the coffee has cooled to 188 degrees Fahrenheit after 2 minutes to find the value of k:

ln(188 - 80) = -k(2) + ln(120)

k = (ln(120) - ln(108)) / 2

k ≈ 0.0776

Now we can solve for the time t when the coffee reaches a temperature of 143 degrees Fahrenheit:

ln(143 - 80) = -0.0776t + ln(120)

t ≈ 18.67 minutes

Therefore, the coffee will reach a temperature of 143 degrees Fahrenheit in approximately 18.67 minutes.

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Answer:

38.97 kilograms

Step-by-step explanation:

38 ones and 97 hundredths

38                  0.97

38.97

The correct answer for detecting nonrandomness in errors is E. control charts. Control charts are a statistical tool used to monitor processes and detect deviations from randomness or expected behavior. They are commonly used in quality control and process improvement to identify any systematic or nonrandom patterns in the data.

Control charts help visualize data over time and compare it to predetermined control limits. If the data falls within these limits and shows a random pattern, it suggests that the process is stable and operating within acceptable limits of variation. However, if the data exhibits nonrandom patterns, such as trends, cycles, or unusual points, it indicates the presence of special causes or systematic errors in the process. By analyzing the control chart, individuals can identify the sources of nonrandomness, investigate the underlying causes, and take corrective actions to improve the process and reduce errors. Therefore, control charts provide an effective method to detect nonrandomness and ensure the quality and consistency of processes.

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Answer:

32

Step-by-step explanation:

P=2(l+w)

so 2(11+5)=P

2(11+5)=32

Respuesta:

A.) BA = 12 m

Explicación paso a paso:

Usando triángulos similares:

BA / AC = DE / EC

BA = x; AC = 20; DE = 3; EC = 5

POR ESO ; TENEMOS :

x / 20 = 3/5

Multiplicar en cruz:

5 * x = 20 * 3

5 veces = 60

5x / 5 = 60/5

x = 12