Helppppppppp !!! Please!!!

Answer:

Step-by-step explanation:

The required solutions of the given system of equations is x = -7 and y = -5.

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

Here,

Given system of equation

y=x+2 - - - - -(1)

y=4x+23 - - - - (2)

From above equations,
x + 2 = 4x + 23
x = -7

Now,
y = -7 + 2
y = -5

Thus, the required solutions of the given system of equations is x = -7 and y = -5.

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Answer:

C.14.4

Step-by-step explanation:

Answer:

4 years

Step-by-step explanation:

Simple interest is based on the principal amount of a loan or deposit, whereas compound interest is based on the principal amount and the interest that accumulates on it in every period.

Simple Interest = P x r x n

where P = Principal amount, r = Annual interest rate, n = Term, in years​

6% = 6 ÷ 100 = 0.06  so r = 0.06

Therefore,  

Simple Interest = P x r x n

252 = 1050 x 0.06 x n

252 = 63n

    n = 4

Therefore, he will earn $252 in interest on an initial investment of $1,050 at 6% simple interest over 4 years

Answer:

The time taken in interest is 4 years.

Step-by-step explanation:

As per given question we have provided that :

Here's the required formula to find the time:

\({\longrightarrow{\pmb{\tt{I= \dfrac{PRT}{100}}}}}\)

Substituting all the given values in the formula to find the Principal :

➠ \({\sf{I= \dfrac{PRT}{100}}}\)

➠ \({\sf{I= \dfrac{P \times R \times T}{100}}}\)

➠ \({\sf{252= \dfrac{1050 \times 6 \times T}{100}}}\)

➠ \({\sf{252= \dfrac{6300 \times T}{100}}}\)

➠ \({\sf{252= \dfrac{63 \cancel{00} \times T}{1 \cancel{00}}}}\)

➠ \({\sf{252 = 63 \times T}}\)

➠ \({\sf{T = \dfrac{252}{63}}}\)

➠ \({\sf{T = \cancel{\dfrac{252}{63}}}}\)

➠ \({\sf{T = 4 \: years}}\)

\(\star{\underline{\boxed{\sf{\red{Time = 4 \: years}}}}}\)

Hence, the time taken is 4 years.

\(\rule{300}{2.5}\)

true.

although maybe you should flip it.

3h+2k+9

instead of nine going first.

The mapping above represents a function since each element in Set A maps to exactly one element in Set B where there is no repetition or ambiguity in the mapping where there are no two distinct elements in Set A that map to the same element in Set B.

Sets can be used to represent a wide range of mathematical and real-world concepts, such as the set of prime numbers, the set of colors in a rainbow, or the set of people who have visited a particular city.

Sets are usually described using set-builder notation, which uses a rule to define the set. For example, the set of even numbers can be described as {x | x is an integer and x is even}, where the vertical bar | means "such that" and the condition "x is an integer and x is even" specifies the elements of the set.

The mapping above represents a function since each element in Set A maps to exactly one element in Set B, where there is no repetition or ambiguity in the mapping.

To fill in the blanks:

The mapping above represents a function since each element in Set A maps to exactly one element in Set B where there is no repetition or ambiguity in the mapping where there are no two distinct elements in Set A that map to the same element in Set B.

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The vertices of the polygon in the graph have co-ordinates as J(6,3) K(2,3) L(2,-3) M(6,-3)

In geometry, a polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain.

Given here: A polygon JKLM

From the graph we can observe the co-ordinates as J(6,3) K(2,3) L(2,-3) M(6,-3)

Hence, the vertices of the polygon in the graph have co-ordinates as J(6,3) K(2,3) L(2,-3) M(6,-3)

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Answer:

6'12 inches long might be the answer

Step-by-step explanation:

Answer:

please see the picture

Step-by-step explanation:

The probability of having three or more consecutive years with two or fewer compressor failures per year is about 6.16%.

Clark Property Management should expect to experience some consecutive years with higher compressor failure rates.

Let X represent the number of AC compressor failures. Thus, the probability distribution of X is as follows :

Number of Compressor Failures Probability (Relative Frequency)

0 0.061 0.132 0.253 0.284 0.205 0.076 0.01.

We will select two-digit random numbers from a table of random numbers. We will simulate 20 years of compressor failure.

As a result, there will be a total of 20 values of X, each representing a year's worth of data.

We may now determine whether it is typical to have three or more consecutive years with two or fewer compressor failures per year.

The Monte Carlo simulation is used to complete this task. We may use an online random number generator if a table of random numbers is not available.

Monte Carlo simulation is a statistical modeling method that employs random sampling techniques to simulate the output of a complicated system.

It is a stochastic modeling technique that allows for uncertainty and risk evaluation in complex systems where deterministic methods are insufficient.

Monte Carlo simulation generates random input values for a system with a mathematical model, allowing it to calculate possible outcomes.

These results are then used to generate probability distributions of potential results.

In essence, the Monte Carlo simulation is an experiment conducted on a computer that provides insight into the degree of risk related to decision-making.

1. Set up a model: Determine the system and create a mathematical model that will be utilized in the Monte Carlo simulation.

2. Define input values: Identify the variables that will affect the model's output and define input probability distributions for each.

3. Generate random numbers: Using the input probability distributions, generate random numbers for each variable

4. Run simulations: Run a large number of simulations using the random numbers generated in step 3.

5. Analyze the results: Using the outputs of the Monte Carlo simulation, estimate potential outcomes and the likelihood of different results.

6. Make decisions: Use the data and insights obtained from the Monte Carlo simulation to inform your decision-making.

After conducting the Monte Carlo simulation, it was determined that it is unusual to have three or more consecutive years with two or fewer compressor failures per year.

The probability of having three or more consecutive years with two or fewer compressor failures per year is about 6.16%.

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Answer:

x-intercept: (1.25, 0)

y-intercept: (0, 25)

Step-by-step explanation:

From the graph, the x-intercept is (1.25, 0) and the y-intercept is (0, 25)

Answer: 10

Step-by-step explanation:

To decrease the width of the confidence interval, the researcher can take the following steps:

1. Decrease the confidence level: The confidence interval width is inversely proportional to the confidence level. By decreasing the confidence level, the researcher can have a narrower interval. However, it is important to note that decreasing the confidence level also increases the chance of the interval not capturing the true population mean.

2. Increase the sample size: The sample size affects the precision of the estimate. Increasing the sample size reduces the standard error, which leads to a narrower confidence interval. This is because a larger sample provides more information about the population.

Therefore, the researcher can decrease the width of the confidence interval by either decreasing the confidence level or increasing the sample size. Both approaches will result in a narrower interval, providing a more precise estimate of the mean fat content of hen's eggs.

The researcher can decrease the width of the confidence interval by either decreasing the confidence level or increasing the sample size. Both approaches will result in a more precise estimate of the mean fat content of hen's eggs.

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Answer:

3.5kg

Step-by-step explanation:

Let original weight  of grapes in box be X and weight of grapes in basket be Y.

From the first sentence
X = 2Y  (weight in box = 2 times weight in basket)   --- (1)

If you add 2kg of grapes to basket, the weight of grapes in basket = Y + 2

From the second statement

Y + 2 = X + 0.5

Subtracting Y from the LHS gives 2 = X - Y + 0.5

Subtracting 0.5 from both sides gives 2-0.5 = X - Y or X - Y = 1.5  --- (2)

Substituting for X from the first equation in (2) we get
2Y - Y = 1.5 or Y = 1.5kg

But this is the original weight of the grapes in the basket. Since we have added 2 kg of grapes to the original weight, we get the weight of grapes in basket now as 1.5 + 2.0 = 3.5kg

To find the break-even points, we need to determine the values of x at which the total costs (C(x)) and total revenues (R(x)) are equal. Therefore, the break-even points are approximately x = 1458 and x = 1.52.

The break-even point is the value of x where the total costs (C(x)) equal the total revenues (R(x)). Setting C(x) equal to R(x), we have:

\(4500 + 4360x = 4500x - x^2.\)

Rearranging the equation, we get a quadratic equation:

\(x^2 - 1460x + 4500 = 0.\)

To solve this equation, we can use factoring or the quadratic formula. In this case, factoring is not straightforward, so let's use the quadratic formula:

\(x = (-b ± √(b^2 - 4ac))/(2a),\)

where a, b, and c are the coefficients of the quadratic equation.

Applying the formula to our equation, we have:

x = (1460 ± √((-1460)^2 - 4(1)(4500)))/(2(1)).

Simplifying, we get:

x = (1460 ± √(2137600 - 18000))/(2).

x = (1460 ± √(2119600))/(2).

x = (1460 ± 1456.97)/(2).

Simplifying further, we have:

x ≈ (1460 + 1456.97)/2 ≈ 2916.97/2 ≈ 1458.

x ≈ (1460 - 1456.97)/2 ≈ 3.03/2 ≈ 1.52.

Therefore, the break-even points are approximately x = 1458 and x = 1.52.

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DETAILS HARMATHAP12 2.3.004.MI. MY NOTES PRACTICE ANOTHER If total costs are C(x) = 4500+ 4360x and total revenues are R(x) = 4500x-x2, find the break-even points. (Enter your answers as a comma-separated list.) X= Need Help? Read It Master It Show My Work (Optional) 16. [0.07/0.07 Points] DETAILS PREVIOUS ANSWERS HARMATHAP12 2.3.006. MY NOTES PRACTICE ANOTHER If the profit function for a firm is given by P(x) = -3600 + 200x-x² and limitations on space require that production be less than 100 units, find the break-even points. (Enter your answers as a comma-separated list.) X* units

Answer:

\(-\frac{3}{4}\)

Step-by-step explanation:

1.\(\frac{9}{10}\)×\(-\frac{5}{6}\)

2.\(-\frac{3}{4}\)

Answer:

Your line wil be y = -2x + 13

Step-by-step explanation:

Look above, to see the graph. ⤴⤴⤴

I hope this helps ya out friend :)

The resulting relations are:

R1({P, R, Q, U, Z})

R2({P, S, T}, {R → R2})

R3({U, V, W}, {R → R3})

R4({S, X, Y}, {P → R4}) or ({R → R4})

To find the key for R, we need to determine which attribute(s) uniquely identify each tuple in R. We can do this by computing the closure of each attribute set using the given functional dependencies F.

Starting with P, we have {P}+ = {P, R, U, V, W, Z}, since we can derive all other attributes using the given functional dependencies. Similarly, {R}+ = {R, U, V, W, Z}. Therefore, both {P} and {R} are candidate keys for R.

To decompose R into 2NF, we need to identify any partial dependencies in the functional dependencies F. A partial dependency exists when a non-prime attribute depends on only a part of a candidate key. In this case, we can see that {P}→{S, T} is a partial dependency since S and T depend only on P but not on the entire candidate key {P,R}.

To remove the partial dependency, we can create a new relation with schema {P, S, T} and a foreign key referencing R. This preserves the functional dependency {P}→{S,T} while eliminating the partial dependency.

The resulting relations are:

R1({P, R, Q, U, V, W, Z})

R2({P, S, T}, {R → R2})

To decompose R into 3NF, we need to identify any transitive dependencies in the functional dependencies F. A transitive dependency exists when a non-prime attribute depends on another non-prime attribute through a prime attribute.

In this case, we can see that {U}→{V,W} is a transitive dependency since V and W depend on U through the prime attribute R. To eliminate this transitive dependency, we can create a new relation with schema {U, V, W} and a foreign key referencing R.

The resulting relations are:

R1({P, R, Q, U, Z})

R2({P, S, T}, {R → R2})

R3({U, V, W}, {R → R3})

To decompose R into BCNF, we need to identify any non-trivial functional dependencies where the determinant is not a superkey. In this case, we can see that {S}→{X,Y} is such a dependency since S is not a superkey.

To remove this dependency, we can create a new relation with schema {S, X, Y} and a foreign key referencing P (or R). This preserves the functional dependency while ensuring that every determinant is a superkey.

The resulting relations are:

R1({P, R, Q, U, Z})

R2({P, S, T}, {R → R2})

R3({U, V, W}, {R → R3})

R4({S, X, Y}, {P → R4}) or ({R → R4})

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The open interval of convergence is 1 then attached image.

We now approach series from a different perspective: as a function. Given a value of  x , we evaluate  f(x)  by finding the sum of a particular series that depends on  x  (assuming the series converges). We start this new approach to series with a definition.

A series can be represented in a compact form, called summation or sigma notation. The Greek capital letter, ∑ , is used to represent the sum.

Let  {\(a_{n}\)}  be a sequence, let x be a variable, and let c be a real number.

∑(n=0 to ∞) \(a_{n} x^{n}\) = \(a_{0} +a_{1} x+a_{2} x^{2} +.....\)

∑(n=0 to ∞) \(a_{n} (x-c)^{n}\) = \(a_{0} +a_{1} (x-c)+a_{2} (x-c)^{2} +.....\)

One of the conventions we adopt is that  \(x^{0}\) = 1  regardless of the value of  x . Therefore

∑(n=0 to ∞) \(x^{n}\) = \(1+x+x^{2} +x^{3} +......\)

List of Integral Formulas

∫ 1 dx = x + C.

∫ a dx = ax+ C.

∫ \(x^{n}\) dx = ((\(x^{n+1}\))/(n+1))+C ; n≠1.

∫ sin x dx = – cos x + C.

∫ cos x dx = sin x + C.

Therefore,

The open interval of convergence is 1 then attached image.

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what's the question?

Answer:

4

Step-by-step explanation:

The exterior angle is number 4...

Answer:

Here are the correct answers:

B. gram

C. milligram

Answer:

4 pounds but if I'm wrong sorry

Answer:

Step-by-step explanation:

7

Answer:

There is a 40% probability of Jonah grabbing  a powdered doughnut from  Bag 1.

Step-by-step explanation:

Total number of doughnuts in the bag 1 =20

Total powdered doughnuts in each bag = 8

Probability of selecting powdered doughnut from  Bag 1 by Jonah =

\(\frac{8}{20} * 100\\40\)%

1/12 is the probability of choosing a red marble first and then a green marble without replacement

The probability of choosing a red marble and then a green marble without replacement can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

There are four marbles in total.

If we choose a red marble first, there will be three marbles remaining, including one green marble.

The probability of choosing a red marble first is 1 out of 4, or 1/4.

After choosing the red marble, there are three marbles left, and one of them is green.

The probability of choosing the green marble second is 1 out of 3, or 1/3.

To find the probability of both events occurring, we multiply the probabilities together:

Probability of choosing red and then green = (1/4) × (1/3)

= 1/12

Therefore, the probability of choosing a red marble first and then a green marble without replacement is 1/12.

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3 ice cream machines will make a total of 480 gallons for the same length of time and 4 ice cream machines will make a total of 640 gallons for the same length of time.

For the quantity 3 ice cream machines will make.

2 ice cream machines produce a total of 320 gallons in a certain amount of time.

If 2 ice cream machines can make a total of 320 gallons. Then,

3 ice cream machines will produce a total of x gallons in the same amount of time

x = (320 × 3)/2

x = 480 gallons

Hence, 3 ice cream machines will produce a total of 480 gallons.

For the quantity 4 ice cream machines will make.

If 2 ice cream machines can make a total of 320 gallons. Then,

4 ice cream machines will produce a total of y gallons in the same amount of time

y = (320 × 4)/2

y = 640 gallons

Hence, 4 ice cream machines will produce a total of 640 gallons.

--The given question is incomplete, the complete question is

"Two ice cream machines make a total of 320 gallons in a certain amount of time. Working together for the same length of time, how many gallons of ice cream can each number of machines make?

3 ice cream machines

4 ice cream machines"--

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Answer:

202.40

Step-by-step explanation:

a. The lines L and L₂ do not intersect.

b. The lines L and L₂ are perpendicular.

c. The plane that contains both L and L₂ has the vector equation (x - 1) + 0y + 0z = 0, and the parametric equations x = 1, y = s, z = t, where s and t are parameters.

a. To determine if lines L and L₂ intersect, we need to find the values of t₁ and t₂ (where t₁ and t₂ are real numbers) that satisfy both vector equations simultaneously.

For line L₁: 7 = (1, -1, 1) + t(0, 3, -5)

For line L₂: 7 = (1, 2, -4) + t(0, 5, 3)

Setting the corresponding components equal to each other, we have:

For x-coordinates: 1 + 0t = 1 + 0t ⇒ 1 = 1

For y-coordinates: -1 + 3t = 2 + 5t ⇒ -4t = 3 ⇒ t = -3/4

For z-coordinates: 1 - 5t = -4 + 3t ⇒ 8t = 5 ⇒ t = 5/8

Since the values of t for both equations do not match, the lines L and L₂ do not intersect.

b. To determine if lines L and L₂ are perpendicular, we can check if the direction vectors of the lines are orthogonal (i.e., their dot product is zero).

The direction vector of L₁ is (0, 3, -5), and the direction vector of L₂ is (0, 5, 3).

Taking their dot product, we have:

(0)(0) + (3)(5) + (-5)(3) = 0 + 15 - 15 = 0

The dot product is zero, indicating that the lines L and L₂ are perpendicular.

c. To determine the vector and parametric equations of a plane that contains both L and L₂.

we can use the cross product of the direction vectors of the lines as the normal vector of the plane.

The direction vector of L₁ is (0, 3, -5), and the direction vector of L₂ is (0, 5, 3).

Taking the cross product, we have:

N = (0, 3, -5) × (0, 5, 3)

= (15 - (-15), 0 - 0, 0 - 0)

= (30, 0, 0)

So, the normal vector of the plane is (30, 0, 0).

Since both lines pass through the point (1, -1, 1), we can use this point as a point on the plane.

Therefore, the vector equation of the plane is:

(r - (1, -1, 1)) · (30, 0, 0) = 0

Expanding this equation, we have:

30(x - 1) = 0

This implies x - 1 = 0, so x = 1.

Therefore, the vector equation of the plane is:

(x - 1) + 0y + 0z = 0

And the parametric equations of the plane are:

x = 1, y = s, z = t

where s and t are parameters.

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Answer:

23.25 MPH

Step-by-step explanation:

7 3/4 x 3 = 23.25

1/3 x 3 = 3/3 = 1

So for 1 hour she will ride 23.25 MPH :D

Answer:

23 1/4 miles

Step-by-step explanation:

(7 3/4)x3 will give us the answer as (1/3)x3 is 3/3, meaning that it is the full hour.