Please help, Which statement about this equation is true?



3 (4x – 2) = 12x




The equation has one solution.

The equation has no solution.

The equation has a few solutions.

or The equation has many solutions.

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

Answer:

440  Cubic  Inches.

Step-by-step explanation:

you just times all of them to get the answer. Have A Great Day!

Answer:

440in

Step-by-step explanation:

Given data

Area of a square = 64 square feet

To find the perimeter of a rectangle, you need the length of its sides.

You can find the length of a square from the area of the square given below.

Use the formula below to find the perimeter.

The perimeter of a square = 4L

= 4 x 8

= 32 feet

Answer:

D

Step-by-step explanation:

Option A doesn't give any statistical data, B is the same as A, and C doesn't show accurately how many students replied yes or no.

Answer:

See below.

Step-by-step explanation:

So, Nikki earns $12 per hour.

And she also earns a 5% or 0.05 commission of her total sales each day.

On Saturday, she worked eight hours and she earned $139. In other words, she earned 8(12) or $96 from working her hours and another $43 (139-96) from her commission.

Thus:

\(139=96+0.05x\)

Where x represents Nikki's total sales on Saturday.

Further notes:

To solve, subtract 96 from both sides and divide by 0.05:

\(139=96+0.05x\\43=0.05x\\x=\$860\)

Thus, her total sales that day were $860.

To derive the demand function from the given utility function and endowment, we need to determine the optimal allocation of goods that maximizes utility. The utility function is U(x, y) = -e^(-x) - e^(-y), and the initial endowment is (1, 0).

To derive the demand function, we need to find the optimal allocation of goods x and y that maximizes the given utility function while satisfying the endowment constraint. We can start by setting up the consumer's problem as a utility maximization subject to the budget constraint. In this case, since there is no price information provided, we assume the goods are not priced and the consumer can freely allocate them.

The consumer's problem can be stated as follows:

Maximize U(x, y) = -e^(-x) - e^(-y) subject to x + y = 1.

To solve this problem, we can use the Lagrangian method. We construct the Lagrangian function L(x, y, λ) = -e^(-x) - e^(-y) + λ(1 - x - y), where λ is the Lagrange multiplier.

Taking partial derivatives of L with respect to x, y, and λ, and setting them equal to zero, we can find the values of x, y, and λ that satisfy the optimality conditions. Solving the equations, we find that x = 1/2, y = 1/2, and λ = 1. These values represent the optimal allocation of goods that maximizes utility given the endowment.

Therefore, the demand function derived from the utility function and endowment is x = 1/2 and y = 1/2. This indicates that the consumer will allocate half of the endowment to each good, resulting in an equal distribution.

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Of the 80 vehicles that boarded at Woodport, the number of lorries is given as follows:

33 lorries.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

Considering that there is a 26% probability of a vehicle on the ferry being a lorry, the outcomes are given as follows:

Hence the value of x is obtained as follows:

(58 + x)/350 = 0.26

58 + x = 0.26 x 350

x = 350(0.26) - 58

x = 33.

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To solve this question, we need to find the formula for the nth term of the geometric sequence. The formula is:

Where:

a_n is the nth term of the sequence

a_1 is the first term of the sequence

r is the common ratio

In this case:

a_1 8

r = 2/3

The answer is:

256/243

Para desplazar o trasladar una figura siempre mueva la figura de acuerdo al ángulo o distancia indicado sin modificar el tamaño o características de la figura.

El desplazamiento o traslación de una figura implica el desplazamiento de la figura de acuerdo a un ángulo determinado o distancia.

Este desplazamiento generalmente cambia la posición de la figura pero nunca debe cambiar:

Nota: Esta pregunta esta incompleta porque no hay información sobre las figuras que se deben trasladar ni las preguntas a responder, por está razón respondí la pregunta basado en conocimiento general.

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If the coefficient of determination is a  positive value, then the coefficient of correlation can be either negative or positive.

What is coefficient of correlation & coefficient of determination ?

The correlation coefficient is a statistical measure of the strength of a two-variable linear relationship. it has possible values between -1 to 1. it is denoted by 'r'.

The coefficient of determination is a statistic that describes the amount of variability in one component that can be explained by its relationship to another. This association of "goodness of fit" is expressed as a number between 0.0 and 1.0. It is represented by the symbol 'r2'.

The square of the coefficient of determination is the coefficient of correlation.

\(r^{2} = positive \\where\)\(r\)  = ±

If the coefficient of determination is a positive value, then the coefficient of correlation can be either negative or positive.

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Step-by-step explanation:

we have

2y = 4x - 9

and we want it to look like

...x + ...y = -9

simple.

the y term is already on the left side. we need to move the x term to the same side.

what do we do ? we subtract the term we want to get rid of on one side from both sides (we always have to do changes in both sides of the equation, or we change the whole meaning of the equation).

2y = 4x - 9 | -4x on both sides

-4x + 2y = -9

and we are finished. that's it.

Answer:

-4x + 2y = -9

Step-by-step explanation:

We are given the equation 2y=4x-9, and we want to convert it into standard form.

Standard form is written as ax+by=c, where a, b, and c are free integer coefficients, however a and b cannot be 0.

Notice how in standard form, x and y are on the same side. Currently, x and y are on different sides.

Therefore, we first need to get x and y on the same side.

We can do this by subtracting 4x from both sides.

2y = 4x - 9

-4x   -4x

_____________

-4x + 2y = -9

As indicated by the -9 on the left side, we have solved the question, and are now done.

Hence, the answer is -4x + 2y = -9.

The predetermined overhead rate is the estimated manufacturing overhead cost per unit of a specific allocation base.

In the options, there are four different rates:

1. $10.00 / MH (MH stands for machine hour): This means that the estimated manufacturing overhead cost per machine hour is $10.00.

2. $17.50 / MH: This indicates that the estimated manufacturing overhead cost per machine hour is $17.50.

3. $20.00 / MH: This implies that the estimated manufacturing overhead cost per machine hour is $20.00.

4. $32.86 / MH: This shows that the estimated manufacturing overhead cost per machine hour is $32.86.

Each rate represents the estimated cost of manufacturing overhead per unit of the allocation base (machine hour) and is used to allocate overhead costs to products or services based on their usage of the allocation base.

The specific rate chosen depends on the nature of the business, its cost structure, and the accuracy of the estimated overhead costs.

The correct question is ''What is the predetermined overhead rate?\(\( \$ 10.00 / \mathrm{MH} \) \( \$ 17.50 / \mathrm{MH} \) \( \$ 20.00 \) / MH \( \$ 32.86 / \mathrm{MH} \)\).''

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Explanation:

Let's go over the possible choices to see which statements are true and which are false.

To summarize, only choice B is true. The rest are false.

Answer:

4feet

Step-by-step explanation:

Area of the trapezoid = 1/2(a+b)h

a and b are the sides

h is the height

Substitute the given values

Area of the trapezoid = 1/2(8+b)*4

24 = 1/2(8+b)*4

2(24) = (8+b) * 4

48 = 32 + 4b

4b = 48-32

4b = 16

b = 16/4

b = 4feet

Hence the window on top is 4feet wide

To find the half-life of a radioactive isotope, one needs to determine the time it takes for the mass of the sample to decay to half of its original value. In this case, the mass of the sample of bismuth-214 decays from 87.7 micrograms to 24.6 micrograms, which is less than half of its original value.

From First order reactions, ln[A]/[B] = kt

Putting the values from the question,

ln[87.7]/[24.6] = k(36.1)

1.271 = k(36.1)

k = 1.271/36.1

= 0.03521 min ⁻¹

t₀.₅ = 0.693/k

    =0.693/0.03521

    = 19.68 minutes.

∴ The half-life of bismuth-214 is 19.68 minutes.

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Answer:

D

Step-by-step explanation:

Somehting bknbye3uehnfhnjun Español uno, como sulfhídrica

Answer:

Number of Trucks = 17

Step-by-step explanation:

Given:

Total number of cars and truck = 43

Find:

Number of Trucks

Computation:

Assume

Number of Trucks = x

Number of Cars = 2x - 8

Total number of cars and truck = Number of Trucks + Number of Cars

43 = x + 2x - 8

51 = 3x

x = 17

Number of Trucks = 17

Answer:

The correct answer is; Ann was on the call for 41 minutes.

Step-by-step explanation:

20-14.26 is equivalent to 5.74, in which you divide that by .14 (fourteen cents) and get 41.

Answer:

-1

Step-by-step explanation:

this should be the exponent. Hope this helps you :)

Answer:

He would need 3.3 gallons

Step-by-step explanation:

1 gallon = 128 ounces

35 * 5 = 420

420 / 128 = 3.28

The given data can be used to test the hypothesis that the proportion of preterm births among twins has increased from 1990 to 2000 and the conclusion is that the proportion of preterm births among twins has increased from 1990 to 2000.

Using a two-proportion z-test, with the null hypothesis that the proportions are equal, we find that the test statistic is approximately 1.89, with a p-value of 0.029. This suggests that there is evidence to reject the null hypothesis at the 5% significance level, and conclude that the proportion of preterm births among twins has increased from 1990 to 2000.

However, it's important to note that this conclusion is based on the assumption that the two samples are independent and representative of the population of interest. Other factors, such as changes in the population or hospital policies, may have also contributed to the observed increase in preterm births among twins.

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The value of k that makes the function continuous is k = 5 = 1.

To find the value of k that makes the function continuous, let's consider a function defined by different pieces:

\(\[ f(x) = \begin{cases} x^2 + 1 & \text{if } x < 2 \\ k & \text{if } x = 2 \\ 2x - 3 & \text{if } x > 2 \\ \end{cases}\]\)

For the function to be continuous at x = 2, we need the following conditions to be satisfied:

1. The limit of f(x) as x approaches 2 from the left (x < 2) should be equal to the value of f(x) at x = 2.

2. The limit of f(x) as x approaches 2 from the right (x > 2) should be equal to the value of f(x) at x = 2.

Let's evaluate these limits:

\(\[\lim_{{x \to 2^-}} (x^2 + 1) = 2^2 + 1 = 5\]\\$\[\lim_{{x \to 2^+}} (2x - 3) = 2(2) - 3 = 1\]\)

To ensure continuity, these limits must be equal to the value of f(x) at x = 2, which is k. Therefore, we have k = 5 = 1.

Hence, the value of k that makes the function continuous is k = 5 = 1.

Complete Question - Find the value of k that makes the function continuous by considering a function defined by different pieces.

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The number of the elements which are present in the set B is given by the term 85.

The symbol "" can be used to represent the intersection of sets. According to the definition given above, the intersection of two sets A and B is the collection of all the items that are shared by both sets. The intersection of A and B can be conceptualised as A B.

The largest set containing all the items shared by X and Y is the intersection of two given sets, let's say X and Y. The intersection of two sets can be an empty set, meaning that there are no elements in the intersection set, or it can be a set containing at least one member. If A and B are two sets with the relationship A B =, then A and B are referred to be disjoint sets. Hence, there are no elements at the point where A and B meet.

The set A contains 57 elements so,

n(A) = 57

total number elements in either set A or set B is 136.

n(A ∪ B) = 136

if the sets A and B have 6 elements in common,

n(A ∩ B) = 6

By using the formula for Union and Intersection of Sets,

n (A ∪ B) = n (A) + n (B) – n (A ∩ B)

136 = 57 + n(B) - 6

136 = 51 + n(B)

n(B) = 85.

Therefore, the number of element in B is 85.

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The probability that a randomly chosen young adult has at least a high school education can be found using the rule of probability called the "complement rule".

To find the answer, we need to subtract the probability that a randomly chosen young adult does not have at least a high school education from 1. In other words:

Probability of having at least a high school education = 1 - Probability of not having at least a high school education.

By using this rule, we can calculate the probability.

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Answer:

Step-by-step explanation:

The 5 is a constant.

The other 2 are products of numbers and variables. The -5 is a term. Even thought it is a constant, it will combine with neither one of the two terms in the trinomial.

4xy^2: This is a combination of a number (4) and 2 variables (x and y). The x and y are different. One of them (y) is squared but that does not change anything. It is still 1 variable. The x is another variable. So together, you have a produce of a number 4 - and 2 variables (x and y). Because this given question is a sum, 4xy^2 could also be classified as a term.

3x is also made up of a product of a number (3) and a variable (x). It is classified as a term, since it cannot combine with either of the other 2 terms.

The amount of the sum Rs 1200 for one and a half year at 40 percent of interest compounded quarterly is Rs 1893.09.

The amount of the sum Rs 1200 for one and a half year at 40 percent of interest compounded quarterly can be calculated as follows:

Given, Principal = Rs 1200Time = 1.5 yearsInterest rate = 40% per annum, compounded quarterly

Let r be the quarterly rate of interest. Then we can convert the annual interest rate to quarterly interest rate using the following formula: \text{Annual interest rate} = (1 + \text{Quarterly rate})^4 - 1$$

Substituting the values, we get:0.40 = (1 + r)^4 - 1 Solving for r, we get:r = 0.095 or 9.5% per quarter

Now, we can use the formula for the amount of money after time t, compounded quarterly: $A = P \left( 1 + \frac{r}{4} \right)^{4t}

Substituting the values, we get:A = Rs 1200 x $\left(1 + \frac{0.095}{4} \right)^{4 \times 1.5}= Rs 1893.09

Therefore, the amount of the sum Rs 1200 for one and a half year at 40 percent of interest compounded quarterly is Rs 1893.09.

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The maximal amount of medically unsupervised weight loss that an adult should aim for in one week is generally 1-2 pounds (0.5-1 kg). This is because losing weight too quickly can be harmful to your health and lead to a number of negative side effects, such as muscle loss, fatigue, dehydration, and gallstones.

It's important to note that the amount of weight an individual can lose in a week can vary depending on factors such as their starting weight, body composition, and overall health. In some cases, a doctor or other medical professional may recommend a faster rate of weight loss under close supervision, but this is generally reserved for people who are severely overweight or have medical conditions that require rapid weight loss.

Ultimately, it's important to approach weight loss in a healthy and sustainable way, with a focus on making long-term lifestyle changes rather than relying on quick fixes or fad diets. A balanced diet, regular exercise, and a consistent sleep schedule are all important components of a healthy weight loss plan.

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Answer:

l : y=4

m: 2x+y-4=0

n: x-y-1=0

p: x= -4

Answer:

Step-by-step explanation:

l:y=4

m:y=2x+4

n:y=x-1

p:x=-4

It will take Lush Gardens Co. approximately 37 months to settle the loan.

To determine how long it will take for Lush Gardens Co. to settle the loan, we can use the formula for the future value of an ordinary annuity:

FV = P. ((1+r)ⁿ - 1)/r

Where:

FV is the future value of the annuity (the remaining loan balance)

P is the monthly payment

r is the interest rate per compounding period

n is the number of compounding periods

In this case, Lush Gardens Co. made a down payment of $5,600, leaving a balance of $56,000 - $5,600 = $50,400 to be financed.

The monthly payment (P) is $1,800.

The interest rate (r) is 5.50% per year, compounded semi-annually. To convert it to a monthly interest rate, we divide it by 12:

r = 5.50/100.12 = 0.004583

Let's calculate the number of compounding periods (n) required to settle the loan:

n = log(FV.r/p + 1)/log(r+1)

Substituting the given values into the equation, we can solve for n:

n = log(50,400×0.004583/1800 + 1)/log(0.004583+1)

we find that n is approximately 36.77 compounding periods. Since we make payments at the end of every month, we can round up to the next payment period.

Therefore, it will take Lush Gardens Co. approximately 37 months to settle the loan.

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