Find the solution of this system of equations
2x - 2y = 20
-2x + 4y = 14
Enter the correct answer.

Based on the given information, the chance of the business venture being considered highly disappointing is unknown.

The probabilities for all the outcomes are provided except for the probability of the business venture being highly disappointing. Without knowing the specific probability assigned to the highly disappointing outcome, it is not possible to calculate the chance or provide an exact value.

It is important to note that the term "unknown" suggests that the probability for the highly disappointing outcome has not been provided or determined. It could be the case that the probability was not included in the given information or that it is simply not available. Without this specific probability, it is not possible to calculate the overall chance of the business venture being highly disappointing.

In summary, the chance or probability of the business venture being highly disappointing cannot be determined without the specific probability assigned to that outcome.

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Answer:

7+40i

Step-by-step explanation:

Hope this helps

On solving the provided query we have Therefore, assuming that order equation counts, there are 20,736 different ways to arrange 12 different books on four shelves.

A mathematical equation is a formula that connects two claims and uses the equals symbol (=) to denote equivalence. An equation in algebra is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign places a space between the variables 3x + 5 and 14. The relationship between the two sentences that are written on each side of a letter may be understood using a mathematical formula. The symbol and the single variable are frequently the same. as in, 2x - 4 equals 2, for instance.

Using the permutation formula with repetition, we can determine how many different ways there are to arrange 12 books on 4 shelves.

\(n^r\)

where r is the number of empty spaces to be filled (in this example, 4 shelves) and n is the number of options to select from (12 distinct books in this case).

\(12^4 = 20,736\)

Therefore, assuming that order counts, there are 20,736 different ways to arrange 12 different books on four shelves.

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The simplified expression is \(21x^2 - 25x - 28\) in the given case.

An expression in mathematics is a combination of numbers, symbols, and operators (such as +, -, x, ÷) that represents a mathematical phrase or idea. Expressions can be simple or complex, and they can contain variables, constants, and functions.

"Expression" generally refers to a combination of numbers, symbols, and/or operations that represents a mathematical, logical, or linguistic relationship or concept. The meaning of an expression depends on the context in which it is used, as well as the specific definitions and rules that apply to the symbols and operations involved. For example, in the expression "2 + 3", the plus sign represents addition and the meaning of the expression is "the sum of 2 and 3", which is equal to 5.

To simplify the expression, first distribute the -3x and (3x + 4) terms:

\(-3x(4 - 5x) + (3x + 4)(2x - 7) = -12x + 15x^2 + (6x^2 - 21x + 8x - 28)\)

Next, combine like terms:

\(-12x + 15x^2 + (6x^2 - 21x + 8x - 28) = 21x^2 - 25x - 28\)

Therefore, the simplified expression is \(21x^2 - 25x - 28.\)

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We would substitute the expression for g(x), which is 4x, into the expression for f(g(x)), giving f(g(x)) = 3(4x) + 2 = 12x + 2.

What is function ?

Function can be defined in which it relates an input to output.

To simplify f(x) + g(x) where f(x) = 3x + 2 and g(x) = 4x, we can simply add the two functions by adding their corresponding terms. Therefore, f(x) + g(x) = 3x + 2 + 4x = 7x + 2.

To simplify the function f(g(x)), we would first substitute g(x) into the expression for f(x) wherever x appears, giving f(g(x)) = 3(g(x)) + 2

Then, we would substitute the expression for g(x), which is 4x, into the expression for f(g(x)), giving f(g(x)) = 3(4x) + 2 = 12x + 2.

Combining functions can be useful in many situations, such as in physics or engineering where multiple variables or parameters are involved in a single equation. It can also be useful in finance or economics where the behavior of multiple factors needs to be modeled in a single function.

Therefore, we would substitute the expression for g(x), which is 4x, into the expression for f(g(x)), giving f(g(x)) = 3(4x) + 2 = 12x + 2.

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Answer: D

Step-by-step explanation:

Answer:   Choice D

\(x = \frac{-3\pm\sqrt{-19}}{2}\\\\\)

==================================================

Explanation:

Compare the given equation x² + 3x + 7 = 0 to ax² + bx + c = 0 to find that,

Those values are plugged into the quadratic formula to get the following:

\(x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-3\pm\sqrt{(3)^2-4(1)(7)}}{2(1)}\\\\x = \frac{-3\pm\sqrt{-19}}{2}\\\\\)

which points us to choice D being the final answer.

--------------

Side note:

The discriminant \(d = b^2 - 4ac = (3)^2-4(1)(7) = -19\) is negative, so there are no real solutions. Instead, the two solutions are non-real complex numbers.

Answer:

The three medians intersect at a single point.

Step-by-step explanation:

PLATO MAKE BRAINLIEST PLZZ

Centroid is that point where median draw from the center of each side in a triangle meet.

The centroid is the centre point of the object. The point in which the three medians of the triangle intersect is known as the centroid of a triangle. It is also defined as the point of intersection of all the three medians.

Let,

There is a triangle ΔABC

Mark midpoints on sides AB, BC and CA which lets P, Q and R respectively.

Join PC, RB and QA

The point where PC, RB and QA meets called centroid.

Hence, the point of intersection of three medians is Centroid.

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Solution:

we have been asked to graph \(f(x)=2^x+1\) and \(g(x)=-x+7\) on the same coordinate plane.

Then we have been asked to find the solution to the equation ?

So we will plot the graph and look for their point of intersection, the x-coordinate of the point of intersection will give the value of x.

So from the graph its clear that the point of intersection is (2,5)

Hence the value of x=2.

If P(B)=0.3, P(A|B)=0.5, P(B')=0.7and P(A|B')=0.8, then the value of the probability P(B|A)= 0.2113

To find the value of P(B|A), follow these steps:

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we have

1) -1/10

step 1

Between the number 0 and number 1 there are 10 spaces

so

each space is

(1-0)/10=1/10

so

-1/10 is 1 space at left of zero

answer part 1 is C

part 2) we have

1/5

Remember that

1/5 is equivalent to 2/10

so

2 spaces at right of zero

answer part 2 is D

Part 3) we have

9/10

correspond to 9 spaces at right of zero

answer part 3 is F

Part 4) we have

-0.5

-0.5=-1/2=-5/10

5 spaces at left of zero

answer part 4 is B

Part 5) we have

0.6

0.6=6/10

6 spaces at right of zero

answer part 5 is E

Part 6) we have

-4/5

-4/5=-8/10

8 spaces at left of zero

answer part 6 is A

Answer:-0.125

Step-by-step explanation:

The average change in water volume is -0.125 liter per day.

Answer:

He did not use the largest perfect square

Step-by-step explanation:

4      \(\sqrt{8}\) is the correct answer

What is square root ?

In mathematics, a square root of a number x is a number y such that y² = x; in other words, a number y whose square is x. For example, 4 and −4 are square roots of 16, because 4² = ² = 16. The square root of any number can be expressed using the formula: √y = y½. In other words, if a number has 1/2 as its exponent, it means we need to find the square root of the number.

Given,

\(\sqrt{128}\)

we divide the number 128 by 2 four times, we get

= \(\sqrt{8*2*2*2*2}\)

= 2*2\(\sqrt{8}\)

=4      \(\sqrt{8}\)

Therefore, 4      \(\sqrt{8}\) is the correct answer

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To write the decimal places for all the parts: 1) 50.628, 2) 0.8088, 3) 10.2406, 4) 5.0439, 5) 0.6824.

A decimal point separates a number's fractional component from its whole value in a number type called a decimal. The decimal point is a . that appears between the elements of a whole number and a fraction. There are two parts to a decimal number: the whole and the fraction.

To represent whole and partially whole quantities between integers numerically, decimal numbers are used. Geographic coordinates are expressed as decimal fractions of a degree and are denoted by the notation decimal degrees (DD). OpenStreetMap, many geographic information systems (GIS), and GPS devices frequently include DD.

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Note that the full question is:

Write the decimal numbers inside the box. Assumethat all other place values not mentioned are zeroes.

1) 5 in the tens place

6 in the tenths place

2 in the hundredths place

8 in the ten thousandths place

2) 8 in the ten thousandths place

8 in the thousandths place

8 in the tenths place

3) 4 in the hundredths place

1 in the tens place

2 in the tenths place

6 in the ten thousandths ou poses only

ndths place

4) 3 in the thousandths place

4 in the hundredths place

5 in the ones place

9 in the ten thousandths place

5) 8 in the hundredths place

6 in the tenths place

4 in the ten thousandths place

2 in the thousandths place

A. The total differential of the utility function U(X,Y) = X^αY^β is dU = αX^(α-1)Y^β dX + βX^αY^(β-1) dY.

B. The total differential of the utility function U(X, Y) = X^2 + Y^3 + XY is dU = (2X + Y) dX + (3Y^2 + X) dY.

A. The total differential of a function represents the small change in the function caused by infinitesimally small changes in its variables. In this case, we are given the utility function U(X, Y) = X^αY^β, where α and β are constants.

To find the total differential, we differentiate the utility function partially with respect to X and Y, and multiply the derivatives by the differentials dX and dY, respectively.

For the partial derivative with respect to X, we treat Y as a constant and differentiate X^α with respect to X, which gives αX^(α-1). We then multiply it by the differential dX.

Similarly, for the partial derivative with respect to Y, we treat X as a constant and differentiate Y^β with respect to Y, resulting in βY^(β-1). We then multiply it by the differential dY.

Adding these two terms together, we obtain the total differential of the utility function:

dU = αX^(α-1)Y^β dX + βX^αY^(β-1) dY.

This expression represents how a small change in X (dX) and a small change in Y (dY) affect the utility U(X, Y).

B. To find the total differential of the utility function U(X, Y) = X^2 + Y^3 + XY, we differentiate each term of the function with respect to X and Y, and multiply the derivatives by the differentials dX and dY, respectively.

For the first term, X^2, we differentiate it with respect to X, resulting in 2X, which is then multiplied by dX. For the second term, Y^3, we differentiate it with respect to Y, resulting in 3Y^2, which is multiplied by dY. Finally, for the third term, XY, we differentiate it with respect to X and Y separately, resulting in X (multiplied by dY) and Y (multiplied by dX).

Adding these three terms together, we obtain the total differential of the utility function:

dU = (2X + Y) dX + (3Y^2 + X) dY.

This expression represents how a small change in X (dX) and a small change in Y (dY) affect the utility U(X, Y).

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The z-scores for which 60% of the distribution's area lies between them can be found by utilizing the properties of the standard normal distribution.

To find the z-scores, we need to determine the corresponding percentiles of the standard normal distribution. The z-score corresponding to the lower 20th percentile is obtained by subtracting 60% from 100% (since the area between the z-scores is 60%). This gives us 40%. To find the z-score associated with this percentile, we can use a standard normal distribution table or a statistical calculator.

Using a standard normal distribution table, we find that the z-score corresponding to the 40th percentile is approximately -0.253. This represents the lower z-score for which 60% of the distribution's area lies between.

Next, we can calculate the z-score for the upper end by subtracting 60% from 100% and then dividing the result by 2. This gives us 20%. The z-score corresponding to the 20th percentile can be found using the same methods as before. Using the standard normal distribution table, we find that the z-score is approximately 0.842.

The z-scores for which 60% of the distribution's area lies between them are approximately -0.253 and 0.842. This means that 60% of the data falls between these two z-scores when the data is standardized according to a standard normal distribution.

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A quadratic equation that has a GCF and none of the solutions is zero is 3x^2 + 6x + 9 = 0. The GCF is 3, and the solutions are complex numbers (-1 ± √2i), where i is the imaginary unit.

An example of a quadratic equation that has a greatest common factor (GCF) and none of the solutions is zero is:

4x^2 + 8x + 4 = 0

In this equation, the GCF is 4, which can be factored out:

4(x^2 + 2x + 1) = 0

Now, let's find the solutions of the equation by factoring:

4(x + 1)^2 = 0

Setting the factor equal to zero, we have:

x + 1 = 0

Solving for x, we find that the solution is:

x = -1

As we can see, the solution to the equation is not zero.

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The quadratic equation can be used to find x, the greater number D. \(x^{2}\)-x-342=0

Let x be the greater of the two consecutive integers, then the other integer is x-1. The product of the two integers is given as 342, so we can write the equation:

x(x-1) = 342

Expanding the left side and rearranging, we get:

\(x^{2}\) - x - 342 = 0

Therefore, the quadratic equation that can be used to find x, the greater number, is D.\(x^{2}\)-x-342=0.

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Step-by-step explanation:

In mathematics, whole numbers are the basic counting numbers 0, 1, 2, 3, 4, 5, 6, … and so on.

Answer:

Whole Number - numbers that do not include fractions, just an integer

Examples:

counting numbers

natural numbers

intergers (positive)

You can search all three of these things online to find more info.

Answer:

x=14

Step-by-step explanation:

complementary=90 degrees

4x+2x+6=90

6x=84

x=14

Answer:

HAHAHAHA di ko alam

Step-by-step explanation:

awtsu

Answer:510

Step-by-step explanation:

Answer:510

Step-by-step explanation:

First, I set up the problem, then I did this, "102+102+102+102+102=510" and that is how I solved this problem.

Annaliese spent 6 minutes longer on Friday to practice piano.

Annaliese spent  28 minutes on Thursday to practice piano.

And she spent 34 minutes  on Friday for piano practice.

To find how much longer she spent on Friday, we have

The extra time spend on Friday=Time spent on Friday - Time spent on Thursday.

Extra time=34 minutes-28 minutes

Extra time=6 minutes.

Subtraction

Subtraction is to remove a value from another to get a desired value.

Rules to subtract

Any positive or negative number can result from subtracting two positive numbers.

Any positive or negative integer can be obtained by subtracting two negative values.

Therefore, Annaliese practiced piano for 6 minutes longer on Friday than on Thursday.

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Answer:

15n = 330

Value of n(number of lawns) = 22

Step-by-step explanation:

She has already saved $85 which means the amount of money she needs left will be

=$415 - $85

= $330

Now n represents the number of lawns she needs to mow. She earns $15 per lawn, so she needs to multiply the cost of each lawn by the number of lawns (n) and equal it to the money she needs. This is how the equation will turn out.

15n = 330

To go further, divide both sides by 15 to get the number of lawns she has to mow.

\(\frac{15n}{15} =\frac{330}{15}\)

n = 22

∴ She needs to mow 22 lawns to get the amount of money she needs.

Answer: 35/11 or 3 2/11

Step-by-step explanation:

\(4\frac{3}{8} /1\frac{3}{8}\\\)

\(\frac{35}{8}/\frac{11}{8}\\\)

\(\frac{35}{8} * \frac{8}{11}\\\)

\(\frac{35}{11} =3\frac{2}{11}\)

Answer:

\(4 \frac{3}{8} \div 1 \frac{3}{8} = \frac{35}{8} \div \frac{11}{8} = \frac{35}{8} \times \frac{8}{11} \\ = \frac{35}{11}= \boxed{3 \frac{2}{11}} \)

Answer:

x°=113°

y°=67°

z°=49°

Step-by-step explanation:

Looking at the right triangle exclusively, we know that it must have 180° in total.

Set up an equation that represents this:

28°+39°+x°=180°

Simplify:

67°+x°=180°

Solve:

x°=113°

Now, we also know that x°+y°=180°, because they form a line. Now that we know the value of x°, plug it in to this equation:

113°+y°=180

Solve:

y°=67°

Finally, apply the same logic with the first triangle with the other triangle:

64°+67°+z°=180°

Simplify:

131°+z°=180°

Solve:

z°=49°

Answer:

\(1.445 \times {10}^{3} \)

Step-by-step explanation:

\((1.7 \times {10 }^{4} )(8.5 \times {10}^{ - 2} ) = 14.45 \times {10}^{2} = 1.445 \times {10}^{3} \)

The answer is very simple. .

6 + 2 (5 - 8 ) ² + 7

Firstly we solve what is inside the parenthesis

Then we solve the multiplications

Finally we solve the sums.

That is the solution.

The Bayesian odds of QA to QS given that a bug was found is 0.22:1.

Let P(Ar) and P(St) be the proportions of biomes sent to Arstotzka and Stardew respectively, which is 0.32 and 0.68 respectively.

Let P(bug|QA) and P(bug|QS) be the probabilities of finding a bug given that a biome was sent to QA and QS respectively, which is 0.13 and 0.55 respectively.

The probability of finding a bug is given by:P(bug) = P(bug|QA) × P(QA) + P(bug|QS) × P(QS)

Substituting the values, we get:P(bug) = 0.13 × 0.32 + 0.55 × 0.68= 0.4164

Let A be the event that a biome was sent to Arstotzka, and B be the event that a bug was found.

Then, we need to find the Bayesian odds of QA to QS given that a bug was found, which is given by:

Bayesian odds = (P(A|B) / P(St|B)) × (1 - P(A) / P(St))

Substituting the values, we get:

Bayesian odds = (P(B|A) × P(A) / P(B|St) × P(St)) × (1 - P(A) / P(St))P(B|A) = P(A ∩ B) / P(A) = P(B|A) × P(A) / P(bug) = (0.13 × 0.32) / 0.4164 = 0.0998

P(B|St) = P(St ∩ B) / P(St) = P(B|St) × P(St) / P(bug) = (0.55 × 0.68) / 0.4164 = 0.9022

P(A|B) = P(B|A) × P(A) / P(B) = (0.13 × 0.32) / 0.4164 = 0.0998 / 0.4164 = 0.2398

P(St|B) = P(B|St) × P(St) / P(B) = (0.55 × 0.68) / 0.4164 = 0.9022 / 0.4164 = 2.1688

Bayesian odds = (P(A|B) / P(St|B)) × (1 - P(A) / P(St))= (0.2398 / 2.1688) × (1 - 0.32 / 0.68)= 0.22:1

Therefore, the Bayesian odds of QA to QS given that a bug was found is 0.22:1.

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The latest time for pickup, found by converting the 150 minutes maximum time provided by the school, from minutes to hours is about 5:45 pm

Minutes can be converted into hours by dividing the number of minutes by 60, which is the number of minutes in an hour.

The time that school ends = 3:15 pm

The latest time for pick up after school care = 150 minutes after school ends

Therefore, the latest time for pick up after school care = 3:15 pm + 150 minutes

60 minutes = 1 hour

150 minutes = (1/60) × 150 = 2.5

The latest for pick up = 3:15 pm + 2.5 hours = 5:45 pm

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