3y-7x+7y+2x=

Please help it would be great

Based on the given data, statement (a) is true, statement (b) is false and statement (c)is false and statement (d) is true.

The statement is true. There exists a natural number x such that x² - x = 0. By factoring the equation, we have x(x - 1) = 0. Therefore, the solutions are x = 0 and x = 1, both of which are natural numbers.

The statement is false. For every natural number x, we cannot have x + 1 ≥ 2. This inequality implies that every natural number x is greater than or equal to 1, which is not true since natural numbers start from 1 and are greater than 1.

The statement is false. For every real number x, we cannot have √2 = x. The square root of 2 (√2) is an irrational number, meaning it cannot be expressed as a fraction or a terminating or repeating decimal. Therefore, it is not possible for x to equal √2, as √2 is not a real number.

The statement is true. There exists a natural number x such that x² + 5x + 6 = 0. By factoring the quadratic equation, we have (x + 2)(x + 3) = 0. Therefore, the solutions are x = -2 and x = -3, both of which are natural numbers.

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The maximum number of possible effects that could be tested in a 2x2x2 factorial design with 3 main effects, 3 two-way interactions, and 1 three-way interaction is 7.

In a 2 x 2 x 2 factorial design, we can test the following maximum number of possible effects:
Main effects:

There are 3 main effects in this design, one for each factor (A, B, and C). You would analyze the effect of each factor independently on the outcome variable.

Two-way interactions:

There are 3 possible two-way interactions that can be tested in this design: AxB, AxC, and BxC.

These interactions examine the combined effects of two factors on the outcome variable.
Three-way interactions:

There is 1 possible three-way interaction that can be tested in this design: AxBxC.

This interaction examines the combined effect of all three factors (A, B, and C) on the outcome variable.

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Answer:

x = 19/3 or 6 1/3

Step-by-step explanation:

I solved for x using Algebra :)

Answer: Second option from the top

Step-by-step explanation:

   First, we will simplify the given inequalities.

2x + 7 ≥ 1

2x ≥ -6

   x ≥ -3

-

8 - \(\frac{x}{3}\) ≤ 5

- \(\frac{x}{3}\) ≤ 5

- \(\frac{x}{3}\) ≤ -3

   x ≥ 9

   Now, we will graph them. See attached.

Answer:

3

Step-by-step explanation:

if m is the number of months

Beckett: 90 + 25m

Lakota Hills 45 + 40m

so 90 + 25m = 45 + 40m

40m - 25 = 90 - 45

15m = 45

m = 45/15 = 3

Answer:

84.6 minutes

Step-by-step explanation:

94% of 90 minutes =

= 0.9 * 94 minutes

= 84.6 minutes

Mr. Red's salary is an illustration of an arithmetic sequence

The explicit rule of Mr. Red's salary is an = 500n + 29500

Mr. Red's salary is an arithmetic sequence with the following parameters:

First term, a1 = 30000

Common difference, d = 500

The explicit rule is calculated as:

an = a1 + (n - 1) * d

This gives

an = 30000 + (n - 1) * 500

Evaluate the product

an = 30000 - 500 + 500n

This gives

an = 29500 + 500n

Rewrite as:

an = 500n + 29500

Hence, the explicit rule of Mr. Red's salary is an = 500n + 29500

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The value of P(X=0, Y=1) is 0.64.

The conditional probability P(X=1 | Y=0) is given as 0.2.

Conditional probability is calculated using the formula:

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

We can rearrange the formula to solve for P(X=1 and Y=0).

P(X=1 and Y=0) = P(X=1 | Y=0) * P(Y=0)

We don't have the exact value for P(Y=0), but we can find it by subtracting P(Y=1) from 1, since there are only two possible values for Y (0 or 1) and they are mutually exclusive.

P(Y=0) = 1 - P(Y=1)

We have, P(X=0, Y=0) = 0.2 and P(X=1, Y=1) = 0.1,

we can calculate P(Y=1) as follows:

P(Y=1) = 1 - P(X=0, Y=0) - P(X=1, Y=1)

= 1 - 0.2 - 0.1

= 0.7

Now, we can substitute the values into the formula:

P(X=1 and Y=0) = P(X=1 | Y=0) x P(Y=0)

= 0.2 x (1 - P(Y=1))

= 0.2 x (1 - 0.7)

= 0.2 x 0.3

= 0.06

So, P(X=0, Y=1)

= 0.7- 0.06

= 0.64

Therefore, the value of P(X=0, Y=1) is 0.64.

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Answer:

Step-by-step explanation:

\(\sqrt{\frac{36}{100} } \\\\\sqrt{36} =6\\\sqrt{100} =10\\\\=\frac{6}{10}\\\\Simplify\\\\6\div 2=3\\10\div 2 =5\\\\\frac{3}{5}\)

Answer:

x = -1

Step-by-step explanation:

3x+6=4x+7   (subtract 6 from both sides)

3x = 4x + 7 -6

3x = 4x  +1    (subtract 4x from both sides)

3x - 4x = 1

-x = 1  (divide both sides by -1)

x = -1

Answer:

the answer to your problem is B

That shaded region area we need

Area

Answer:

7(nearest whole number)

7.2(1 decimal place)

+Answer:

You are lying more then telling the truth.

Step-by-step explanation:

At first, it was a lie but a coincidence happened, so it is more lying in my opinion.

The probability that each bill drawn from Ben's wallet will be worth less than $10 is 2/21.

When Ben reaches into his wallet without looking and takes two bills out, we need to determine the probability that both bills will be worth less than $10.

To calculate this probability, we consider the total number of bills worth less than $10 in Ben's wallet, which is 5. The total number of bills in his wallet is 6, as there are two $20 bills, one $10 bill, and two $5 bills, in addition to the $1 bill.

For the first bill, the probability of selecting a bill worth less than $10 is 5/15, as there are 5 bills worth less than $10 out of the total 15 bills. After selecting the first bill, there are 14 bills left in the wallet.

For the second bill, the probability of selecting a bill worth less than $10 depends on the outcome of the first selection. Since one bill has already been drawn, there are now 4 bills worth less than $10 remaining out of the 14 bills in total.

To calculate the probability of both events occurring, we multiply the probabilities together: (5/15) * (4/14) = 2/21.

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The graph goes on forever in both directions along the x axis. This indicates any x value can be plugged into the quadratic to get some y output. There are no restrictions. The domain is the set of all possible x inputs of a function.

Standard Deviation statistic of the sampling distribution is used in calculating the margin of error for a confidence interval of the population mean.

Basically, the margin of error is stated as follows:

Error margin, E = Z* (Standard deviation)

Therefore, the calculation of the margin of error does not employ the mean at all.

The margin of error is computed using the standard deviation.

The term "standard deviation" reveals that a measurement of the data's dispersion from the mean. While a high standard deviation indicates that the data are more spread or dispersed, a low standard deviation suggests that the data are clustered or gathered around the mean.

It depicts the average deviation of each score from the mean. A high standard deviation in a normal distribution denotes that values are often far from the mean, while a low standard deviation denotes that values are grouped together around the mean.

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L((7,8)) = (-9,23).  To find the value of L((7,8)), we can use the linearity property of the linear operator L.

Since L is a linear operator, we can express any vector in R² as a linear combination of the basis vectors (1,0) and (0,1).

We have L((1,2)) = (-2,3) and L((1,-1)) = (5,2). Therefore, we can express (7,8) as (7,8) = 7(1,2) + 1(1,-1).

Using the linearity property, we can distribute the linear operator L over the linear combination:

L((7,8)) = L(7(1,2) + 1(1,-1))

= 7L((1,2)) + L((1,-1))

= 7(-2,3) + (5,2)

= (-14,21) + (5,2)

= (-9,23)

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P(A) is the likelihood that a six-sided die will produce an even number when rolled (2, 4, or 6).

P(B) is the likelihood that a six-sided dice will land on four.

P(A) = 3/6 = 1/2

P(B) = 1/6

The probability of rolling an even number followed by a four, or P(C), equals P(A) * P(B) = 1/2*1/6 = 1/12 = 0.083 since events A and B are independent of one another.

With a six-sided die, there is a roughly 0.83*100 or 8.3% probability of rolling an even number (2, 4, or 6), followed by a four.

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Answer:

-5 would Be your answer

Step-by-step explanation:

Answer:

10=Z and 10=Y

Step-by-step explanation:

since it is a 45, 45, 90 triangle

both Z and Y will be the same length

the hypotenuse has a length of \(x\sqrt{2}\) with x being the length of the legs

Since the length of this triangle's hypotenuse is \(10\sqrt{2}\) the side length would be 10

Hope that helps :)

Answer:

b 66

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

round it by 2 and there you go!

The production function Yt =A[αK tv v−1+(1−α)N tv v−1] v−1v does not exhibit constant returns to scale.

The concept of constant returns to scale is a property of production functions. It refers to a situation in which an increase in inputs such as labor, capital, or both results in a proportionate rise in output.

The production function Y = f(K, N) exhibits constant returns to scale if, for all values of K and N, there is a scalar λ such that Y(λK, λN) = λY(K, N)

If this condition holds, then we can say that the production function exhibits constant returns to scale.

Does the production function Yt =A[αK tv v−1+(1−α)N tv v−1] v−1v exhibit constant returns to scale?

Let us determine whether the production function

Yt =A[αK tv v−1+(1−α)N tv v−1] v−1v

exhibits constant returns to scale using the definition above.

Y(λK, λN) = A[α(λK) v (v−1) + (1−α)(λN) v (v−1)] v−1vY(λK, λN)

Y(λK, λN) = A[λvαK v (v−1) + λv(1−α)N v (v−1)] v−1vY(λK, λN)

Y(λK, λN) = A[λvαK v (v−1)v−1v + λv(1−α)N v (v−1)v−1v]Y(λK, λN)

Y(λK, λN) = λvA[αK v−1 + (1−α)N v−1] v

Since λ appears outside the bracket, the production function does not satisfy the condition of constant returns to scale because λ is not eliminated on both sides of the equation.

Therefore, we can conclude that the production function Yt =A[αK tv v−1+(1−α)N tv v−1] v−1v does not exhibit constant returns to scale.

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Answer and Step-by-step explanation:

To solve for d, divide f from both sides of the equation.

df ÷ f = (g + 32) ÷ f

d = \(\frac{g+32}{f}\) is the answer.

#teamtrees PAW (Plant And Water)

I hope this helps!

Answer:

$6.65

Step-by-step explanation:

7 ----- 2.45

19 ---- x

\(x=\frac{(19)(2.45)}{7} =6.65\)

Hope this helps

Answer:

ab + bc + ca = 40

Step-by-step explanation:

Using the expansion identity

(a + b + c)² = a² + b² + c² + 2(ab + bc + ca) , that is

9² = 1 + 2(ab + bc + ca)

81 = 1 + 2(ab + bc + ca) ← subtract 1 from both sides

80 = 2(ab + bc + ca) ← divide both sides by 2

40 = ab + bc + ca