Which of these expressions shows like terms?

Your answer:

3x +3y


2x +2x^2


2x+3x


2x^2 +3y^2

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Let X be a continuous random variable denoting the time to failure of a component. Suppose the distribution function of X is F(c).

Use this distribution function to express the probability of the following events: (a) 9 < X < 90. (b) X < 90. (c) X > 90, given that X > 9.1.

Probability of 9 < X < 90. The probability of 9 < X < 90 can be written in terms of the distribution function of X. The required probability is given as follows: P(9 < X < 90) = F(90) - F(9)2.

Probability of X < 90. The probability of X < 90 can be obtained as follows: P(X < 90) = F(90)3. Probability of X > 90, given that X > 9. This probability can be obtained using Bayes' theorem as follows:

P(X > 90|X > 9) = [P(X > 9|X > 90) * P(X > 90)] / P(X > 9).

Using the fact that P(X > 9|X > 90) = 1 and P(X > 9) = 1 - P(X < 9), the above equation can be simplified as follows: P(X > 90|X > 9) = F(90) / [1 - F(9)].

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Solution :

Yes, the conveyors are in a proportional relationship.

Given,

A conveyor belt moves at a constant rate of 12 feet in 3 seconds.

A second conveyor belt moves 16 feet in 4 seconds.

There is a proportional relationship if the ratios of each pair of values are the same.

- First conveyor belt

12 feet in 3 seconds.

Ratio = 12 / 3 = 4

- Second conveyor belt

16 feet in 4 seconds.

Ratio = 16 / 4 = 4

Ratios are the same.

4 = 4

Thus the conveyors are in a proportional relationship.

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The meaning of the graph is that the value of x is no less than -1

From the question, we have the following parameters that can be used in our computation:

x ≥ − 1

The above expression is an inequality that implies that

The value of x is no less than -1

Next, we plot the graph

See attachment for the graph of the inequality

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Question

What does the graph of x ≥ −1 mean?

We can determine that the necessary angle ∠a is 15° using the provided secant line.

A secant crosses a circle at precisely two points in a case of a circle.

Mathematicians refer to a line that cuts through the points P and Q of any arbitrary curve whose equation is y=f as a secant, from the Latin term secant, which means to cut (x).

So, we know that:

c = 55° and b = 25°

And, the formula is:

∠a = c - b/2

Now, substitute values as follows:

∠a = c - b/2

∠a = 55 - 25/2

∠a = 30/2

∠a = 15°

Therefore, using the given secant line, we know that the required angle ∠a is 15° respectively.

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Complete question:

Answer:

The range for the function y=5-2x is all real numbers, but the numbers corresponding the the domain values of 0, 1, 2, and 3, are 5, 3, 1, -1.

Step-by-step explanation:

Answer:

B isa the answer for me it might be wrong for you or switch them

Step-by-step explanation:

The RTS of the isoquant is 1000K, indicating the rate at which labor can be substituted for capital while maintaining constant production. The labor to capital cost ratio is 0.5. To minimize the cost of producing q units per hour, the specific value of q is needed to find the optimal combination of K and L along the expansion path, represented by the cost function C(K, L) = 40K + 20L.

The RTS (Rate of Technical Substitution) measures the rate at which one input can be substituted for another while keeping the production level constant. To determine the RTS, we need to calculate the derivative of the production function with respect to L, holding q constant.

Given the production function q = 1000KL, we can differentiate it with respect to L:

d(q)/d(L) = 1000K

Therefore, the RTS of the isoquant for production level q is 1000K.

The ratio of labor to capital cost can be calculated by dividing the labor cost by the capital cost.

Labor cost = $20/hour

Capital cost = $40/machine/hour

Ratio of labor to capital cost = Labor cost / Capital cost

                              = $20/hour / $40/machine/hour

                              = 0.5

The ratio of labor to capital cost is 0.5.

To find the combination of K and L that minimizes the cost of producing q units per hour, we need to set up the cost function and take its derivative with respect to both K and L.

Let C(K, L) be the total cost function.

The cost of capital is $40 per machine per hour, and the cost of labor is $20 per hour. Therefore, the total cost function can be expressed as:

C(K, L) = 40K + 20L

To produce q units per hour at minimal cost, we need to find the values of K and L that minimize the total cost function while satisfying the production constraint q = 1000KL.

The expansion path of the firm represents the combinations of K and L that minimize the cost at different production levels q.

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The mass of the P₂O₅ formed from 3.4 moles of O₂ gas is equal to 386.1 g.

A mole can be described as a unit for measurement of a huge number of quantities of atoms, molecules, ions, or other particles. The atomic mass can be expressed as the one mole of any element.

The number of particles present in one mole was to be equal to 6.023 × 10 ²³ which is Avogadro’s constant.

Given, the number of moles of O₂ gas = 3.4 moles

The balanced chemical reaction of phosphorous and oxygen gas can be given as:

4 P  +  5 O₂   →   2 P₂O₅

5 mol of Oxygen reacts with moles of P₂O₅ = 2 mol

3.4 mol of O₂ gas reacts with moles of P₂O₅ = (2/5) × 3.4 = 1.36 mol

The mass of the 1.36 mol of P₂O₅ = 1.36 × 283.89 = 386.1 g

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Answer:

Rational numbers are the numbers that can be expressed in the form of a ratio (P/Q & Q≠0).

Irrational numbers cannot be expressed as a fraction. But both the numbers are real numbers and can be represented in a number line.

Step-by-step explanation:

The person needs to walk about 6.478 miles in a direction of approximately 19.11° north of east to head directly home.

To find the distance and direction the person needs to walk to head directly home, we can use the Pythagorean theorem and some trigonometry.
1. First, break the southwest walk into west and south components. Since it's a 3-mile walk at a 45-degree angle, the west and south components are equal: 3 * cos(45°) = 3 * 0.7071 ≈ 2.121 miles for both west and south components.

2. Calculate the total west and south distances. The total west distance is the sum of the initial westward walk and the west component of the southwest walk: 4 miles + 2.121 miles ≈ 6.121 miles. The total south distance is just the south component of the southwest walk: 2.121 miles.

3. Use the Pythagorean theorem to find the straight-line distance back home: √((6.121 miles)^2 + (2.121 miles)^2) ≈ 6.478 miles, which is the correct distance.

4. Determine the angle between the eastward direction and the straight-line path back home. Use the inverse tangent function: angle = atan(south distance / west distance) = atan(2.121 miles / 6.121 miles) ≈ 19.11° north of east, which is the correct direction.

So, the person needs to walk about 6.478 miles in a direction of approximately 19.11° north of east to head directly home.

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Answer:

i think its 34

Step-by-step explanation:

Answer:

23,247 us liquid gallons

Answer:

23.25 Gallons

Step-by-step explanation:

3.8 liters are in one gallon so if you were to convert them, you would have to divide the liters by how many liters it takes to convert into a gallon,

So the answer is 23.25 G

Hope this helps! :)

True: If the production function is f(x,y) = min{2x+y,x+2y}, then there are constant returns to scale. True: The cost function c(w1, w2, y) expresses the cost per unit of output of producing y units of output if equal amounts of both factors are used.

False: The area under the total cost curve measures total variable costs, not the marginal cost curve. The marginal cost curve shows the extra cost incurred by producing one more unit of output. False: The absolute value of the price elasticity in market 1 at price p1 may or may not be smaller than the absolute value of the price elasticity in market 2 at price p2.e)

False: If the monopolist increases his price by more than $1 per unit, it would decrease his profit. So, it is not true. Therefore, the statement is false.Conclusion The absolute value of the price elasticity in market 1 at price p1 may or may not be smaller than the absolute value of the price elasticity in market 2 at price p2.e)

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Answer:

The proportion of the pooled samples is 0.54.

Step-by-step explanation:

We have that:

70% of men own cats.

The proportion of men in the sample is:

\(\frac{170}{170+190} = 0.4722\)

40% of women own cats.

The proportion of women in the sample is: 1 - 0.4722 = 0.5278

Proportion of the pooled samples

\(p = 0.7*0.4722 + 0.4*0.5278 = 0.54\)

The proportion of the pooled samples is 0.54.

The value of 6x-5y = -31

The given equations are 2x-y=-7 -eq (1)

& 4x=-3y+16 -eq (2)

Multiplying eq (1) with 2 and rearranging to get equation as follows

(2x-y=-7)*2

4x-2y=-14 -eq (3)

Now, subtracting eq (3) from eq (2) to get y.

(4x+3y=16) - (4x-2y=-14)

5y=30

y=5

Substituting y=5 in eq (1) to get x.

2x-5=-7

x=-1

Now to determine 6x-5y substitute obtained values of x & y.

6*(-1)-5(5)=-31

Hence the value of 6x-5y=-31.

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The probability that all the molecules of a gas consisting of 1 molecule will be found in one half of a container is 1 or 100%.

If a gas consists of only one molecule, then it will always be found in one half of the container. This is because there is no other molecule to interact with and no other half of the container to occupy. Therefore, the probability that all the molecules of a gas consisting of 1 molecule will be found in one half of a container is 1 or 100%.

However, this is not the case for gases consisting of more than one molecule. In fact, the probability of all the molecules being found in one half of a container is extremely low and depends on the number of molecules, the volume of the container, and the temperature and pressure of the gas.

This phenomenon is related to the concept of entropy and the tendency of systems to move towards a state of higher disorder. As the number of molecules in a gas increases, the probability of all the molecules being found in one half of a container decreases exponentially.

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Answer:

1. e

Step-by-step explanation:

18/3 +2(12-5)

=6+2(7)

=6+14

=20

\(\large\displaystyle\text{$\begin{gathered}\sf \frac{18}{3}+2(12-5) \end{gathered}$}\)

Divide 18 by 3 to get 6.

Therefore, the correct option is "E".

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

\(\large\displaystyle\text{$\begin{gathered}\sf 30+\frac{4(4+1)}{2}-(3+1) \ \to \ \ [Add \ 4 \ plus \ 1] \end{gathered}$}\)

It seems that none of the options is correct.

1. The he intersection points A and B are:

A(-2, -1) and B(6, 7)

2. Midpoint is (7, -1)

3. length of AB is 4√5

To find the intersection points A and B, set y = x + 1 and y = x² - 3x - 11 equal to each other:

x + 1 = x² - 3x - 11

Now, rearrange the equation to set it equal to zero:

x² - 4x - 12 = 0

Factor the quadratic equation:

(x - 6)(x + 2) = 0

Solve for x:

x = 6, x = -2

Now plug the x-values back into the equation of either line (y = x + 1) to find the corresponding y-values:

For x = 6: y = 6 + 1 = 7

For x = -2: y = -2 + 1 = -1

So the intersection points A and B are:

A(-2, -1) and B(6, 7)

a) To find the midpoint of A(5,-5) and B(9,3), use the midpoint formula:

Midpoint = ((x1 + x2)/2, (y1 + y2)/2)

Midpoint = ((5 + 9)/2, (-5 + 3)/2) = (14/2, -2/2) = (7, -1)

b) To find the length of AB, use the distance formula:

Distance = √((x2 - x1)² + (y2 - y1)²)

Distance = √((9 - 5)² + (3 - (-5))²) = √(4² + 8²) = √(16 + 64) = √80

Length of AB = 4√5 (simplified

a) To find the length of AB, use the distance formula:

Distance = √((x2 - x1)² + (y2 - y1)²)

Distance = √((9 - 5)² + (-1 - 7)²) = √(4² + (-8)²) = √(16 + 64) = √80

Length of AB = 4√5 (simplified)

b) To find the equation of the line AB, first find the slope:

m = (y2 - y1)/(x2 - x1) = (-1 - 7)/(9 - 5) = (-8)/4 = -2

Next, use the point-slope form with one of the points (A or B), say A(5,7):

y - y1 = m(x - x1)

y - 7 = -2(x - 5)

Now, convert the equation to the slope-intercept form (y = mx + c):

y = -2x + 10 + 7

y = -2x + 17

To find the gradient of the line that is perpendicular to 3y = 4x - 5, first find the gradient of the given line:

3y = 4x - 5 => y = (4/3)x - 5/3

The gradient of the given line is 4/3. To find the gradient of the perpendicular line, find the negative reciprocal:

m_perpendicular = -1/(4/3) = -3/4

i) To find the midpoint M of A(1,5) and B(3,9), use the midpoint formula:

Midpoint = ((x1 + x2)/2, (y1 + y2)/

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No, rectangle DABC is not the result of a dilation of rectangle HEFG with a center of dilation at the origin.

Dilation is a geometrical transformation that changes the size of a shape or figure. It is one of the four basic transformations of geometry alongside translation, rotation, and reflection. Dilation involves resizing a shape by a scale factor and keeping its overall shape intact. The scale factor is the ratio of the size of the image to the size of the original figure.

Dilation involves a scaling of a shape, where each point on the shape is moved away from or closer to the center of dilation, proportional to its distance from the center. In this case, the angles of rectangle DABC are different from the angles of rectangle HEFG, so it is not the result of a dilation. The angles of rectangle HEFG are ∠2, ∠33, ∠EDC, whereas the angles of rectangle DABC are ∠ADB, ∠BDC, and ∠CDB.

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Answer:

{-3,-1, 4, 5, 9, 10, 11, 13}

Step-by-step explanation:

We can rewrite the expression as 3(x - 2)(x - 4). As we can see, the multiplication matches the original polynomial, so our factored form is correct.

To write the polynomial 3x² - 18x + 24 in factored form, we need to find the factors of the quadratic expression. First, we can look for a common factor among the coefficients. In this case, the common factor is 3. Factoring out 3, we get:

3(x² - 6x + 8)

Next, we need to factor the quadratic expression inside the parentheses. To do this, we can look for two numbers whose product is 8 and whose sum is -6. The numbers -2 and -4 satisfy these conditions.

To check if this is the correct factored form, we can multiply the factors:
3(x - 2)(x - 4) = 3(x² - 4x - 2x + 8)

= 3(x² - 6x + 8)

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The quadratic inequality is given as follows:

y ≤ 2/3(x + 9)² - 27.

The equation of a quadratic function, of vertex (h,k), is given by the rule presented as follows:

y = a(x - h)² + k

a is the leading coefficient of the equation.

In the context of this problem, the vertex is at point (-9, -27), hence the parameters are as follows:

h = -9, k = -27.

Hence the rule is:

y = a(x + 9)² - 27.

When x = 1, y = 39.67, hence the leading coefficient is calculated as follows:

39.67  = a(1 + 9)² - 27

100a = 66.67

a = 2/3

Hence the inequality is:

y ≤ 2/3(x + 9)² - 27.

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there is no solution

Answer:

$5184

Step-by-step explanation:

1 per square foot =$432/1

12 square =12×$432/1

$5184

The given sequence is defined as a_n = 10 + (-1/9)^n. By applying the limit laws and theorems, we can determine the limit of the sequence or show that it diverges.

The sequence a_n = 10 + (-1/9)^n does not converge to a specific limit. The term \((-1/9)^n\) oscillates between positive and negative values as n approaches infinity.

As n increases, the exponent n alternates between even and odd values, causing the term (-1/9)^n to alternate between positive and negative. Consequently, the sequence does not approach a single value, indicating that it diverges.

To further understand this, let's analyze the terms of the sequence. When n is even, the term (-1/9)^n becomes positive, and as n increases, its value approaches zero.

Conversely, when n is odd, the term (-1/9)^n becomes negative, and as n increases, its absolute value also approaches zero. Therefore, the sequence oscillates indefinitely between values close to 10 and values close to 9.

Since there is no ultimate value approached by the sequence, we can conclude that it diverges.

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Answer:

free v

Step-by-step explanation:

rwfgg

Answer:

MP = MN + NP

21 = (x - 5) + (2x - 1)

21 = x - 5 + 2x - 1

21 = 3x -6

3x = 21 + 6

3x = 27

x = 9

Answer:

  FG ≈ 11.9

Step-by-step explanation:

The similarity statement tells you the corresponding sides are ...

  CD and FG

  CB and FE

The ratios of corresponding sides are the same when triangles are similar:

  FG/CD = FE/CB

  FG/28 = 25/59

  FG = 28(25/59) = 700/59 ≈ 11.9

Answer:-6+3i

Step-by-step explanation:

(1+6i)—(7+3i)1+6i—7–3i1. 1–7 = —62. 6i—3i=3iSo