find the value of y
a= 23
b= 46
c= 170
d= 85

Angle ECD and Angle FDC are same-side interior angles. They lie on the same side of the transversal and are on the inside of the two parallel lines. Same-side interior angles are supplementary, meaning that they add up to 180.

(40x + 15) + (5x + 30) = 180

45x + 45 = 180

45x = 135

x = 3

Angle ECD = 40(3) + 15 = 120 + 15 = 135

Angle FDC = 5(3) + 30 = 15 + 30 = 45

Hope this helps!

Answer:

h =2,2

Step-by-step explanation:

First subtract 1,7 from both side and divide by 4

Answer:

6√2

Step-by-step explanation:

√6 x √12 = √72

= 6√2

OR

6 x √12 = √72

= 8.485281374238570

Answer:

b

Step-by-step explanation:

It's not either of the first two, because they both have intervals with x < 0 and that first piece is only x < -4.

It's also not the bottom choice, because the middle piece is horizontal, not with a slope of 4.

That means is option #3.

Answer:

The answer is D.

Step-by-step explanation:

The pythagorean theorem is \(A^{2}\) + \(B^{2}\) = \(C^{2}\)

You use that equation to find b.

Answer:B 8;45

Step-by-step explanation:

Answer:

Dont be sad :) The answer is B but give brainliest to the other person ʕ •ᴥ•ʔ

Step-by-step explanation:

Answer:

Ella, Miles, Sam, Laney

Step-by-step explanation:

that should be the answer hope I could help

The system of inequalities that matches the graph is defined as follows:

The first solid line has a positive slope and goes through (-1, -3) and (0, 0). Everything to the left of the line is shaded, hence this is the upper bound of the interval, as it is a solid line, it is a closed interval.

This line has an intercept of zero and a slope of 3, as when x increases by one, y increased by 3, hence the constraint is defined as follows:

y ≤ 3x

he second dashed line has a negative slope and goes through (-2, 3) and (1, -3). Everything to the right of the line is shaded, meaning that this is the lower bound of the interval, with an open interval.

When x increased by 3, y decayed by 6, hence the slope of the line is of:

m = -6/3 = -2.

Then:

y = -2x + b.

When x = 1, y = -3, then the intercept is given as follows:

-3 = -2 + b

b = -1.

Thus the constraint is of:

y > –2x – 1.

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Answer:

The solution of a linear inequality is the ordered pair that is a solution to all inequalities in the system and the graph of the linear inequality is the graph of all solutions of the system. Graph one line at the time in the same coordinate plane and shade the half-plane that satisfies the inequality

The value of a and b are 70 and 120 respectively.

What is the scale of a graph?

The scale is what you mark on the axes. It's the relation between the units you're using, and their representation on the graph i.e., the distance between marks.

In given question,

we take 1 unit scale = 10 cm.

If we take A = 70 cm

Then B = 120 cm.

Hence the value of A and B are 70 and 120 respectively.

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Answer:

Correct answer is option D

Answer:

If im not wrong, it has to be "How much does your dog weigh"

Step-by-step explanation:

Answer:

difference is the same as subtracting a number from another. so, the difference of six and two would look like (6-2). considering we are dividing we take those two numbers and divide them by four. so your numerical equation would look like:  (6-2)/4

Answer:

Step-by-step explanation:

To find the width, you have to divide the height and length by the volume

After solving the equation we know that the resultant value of a is 14.

A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation.

As in 3x + 5 Equals 15, for instance.

Equations come in a variety of forms, including linear, quadratic, cubic, and others. In this tutorial, let's study more about math equations.

The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.

So, we have the equation:

5a + 3-3a = 31

No, solve the equation as follows for 'a:

5a + 3-3a = 31

5a - 3a = 31 - 3

2a = 28

a = 28/2

a = 14

Therefore, after solving the equation we know that the resultant value of a is 14.

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Answer:

New price = 0.06 x Original price

New price $1,968

Answer: p ≤ 41 pages

Step-by-step explanation:

   Alex read at most 41 pages this weekend. Since 41 is the most number of pages she read, p is going to be less than 41. If p is the number of pages she read;

       p ≤ 41 pages

Answer:

301 is your answer

Answer:

The correct answer is B. 20,000

Step-by-step explanation:

To determine the man's total monthly salary, we can set up a simple equation using the given information. Let's denote the total monthly salary as "x."

According to the information provided, 33% of the man's monthly salary is equal to Birr 6600. We can express this relationship mathematically as:

0.33x = 6600

To solve for "x," we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 0.33:

x = 6600 / 0.33

Evaluating the right side of the equation gives:

x ≈ 20,000

Therefore, the man's total monthly salary is approximately Birr 20,000.

Hence, the correct answer is B. 20,000.

Step-by-step explanation:

Using the given formula, we can substitute x = 3 and solve for y:

y = 5 x 2^x

y = 5 x 2^3 (substitute x = 3)

y = 5 x 8

y = 40

Therefore, when x = 3, y = 40.

Answer:

y = 40

Step-by-step explanation:

Plug in 3 for x

\(\bf{y=5\times2^x}\)

\(\bf{y=5\times2^3}\)

Simplify

\(\bf{y=5\times8}\)

Simplify

\(\bf{y=40}\)

Hence, y = 40

The given identity is: cos(x) + 1 / cos²(x) csc(x) cot(x) - 1 / cos(x) + 1 = cos(x) + 1 / cos(x) - 1 * cos(x) / sin(x) - 2 csc(x) cot(x)

To verify the identity algebraically, we will simplify both sides step by step:

Left-hand side (LHS):

cos(x) + 1 / cos²(x) csc(x) cot(x) - 1 / cos(x) + 1

1. Simplify the denominator by using the reciprocal identities:

cos(x) + 1 / cos²(x) * 1/sin(x) * cos(x) - 1 / cos(x) + 1

2. Simplify further by canceling out common factors:

cos(x) + 1 / sin(x) * cos(x) - 1 / cos(x) + 1

3. Combine the fractions:

[cos(x) + 1 - sin(x) * cos(x) + 1] / [sin(x) * cos(x) - cos(x) + 1]

Right-hand side (RHS):

cos(x) + 1 / cos(x) - 1 * cos(x) / sin(x) - 2 csc(x) cot(x)

1. Simplify the denominator using trigonometric identities:

cos(x) + 1 / cos(x) - 1 * cos(x) / sin(x) - 2 / (1/sin(x) * cos(x))

2. Simplify further:

[cos(x) + 1 * cos(x)] / [cos(x) - 1 * (sin(x) - 2 / sin(x) * cos(x))]

3. Combine the fractions:

[cos²(x) + cos(x)] / [cos(x) - sin(x) + 2]

Now, we can observe that the numerators and denominators on both sides are the same.

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To determine the consumption when income increases from $9,000 to $9,500, we can use the concept of the marginal propensity to consume (MPC).

The MPC represents the proportion of each additional dollar of income that is consumed. The marginal propensity to save (MPS) is the complement of the MPC, representing the proportion of each additional dollar of income that is saved.

Given that the MPC is 1 - MPS and the MPS is 0.2, we can calculate the MPC as follows:

MPC = 1 - MPS

MPC = 1 - 0.2

MPC = 0.8

Now, let's calculate the increase in consumption due to the increase in income:

Increase in income = $9,500 - $9,000 = $500

Increase in consumption = MPC * Increase in income

Increase in consumption = 0.8 * $500

Increase in consumption = $400

Finally, to find the new consumption level when income increases to $9,500, we add the increase in consumption to the initial consumption level:

New consumption = Initial consumption + Increase in consumption

New consumption = $10,000 + $400

New consumption = $10,400

Therefore, when income increases to $9,500, the consumption will be $10,400.

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Seventeen-year-old Simon went through a period of conflict over issues relating to his identity, but now he feels comfortable with the choices and commitment he has made. Thomas has achieved what Erik Erikson would call: integrated identity

Thomas has achieved what Erik Erikson would call "identity achievement." Erikson's theory of psychosocial development proposes that during adolescence, individuals go through a stage called identity versus role confusion.

This stage is marked by a period of conflict and exploration in which adolescents seek to establish a sense of identity and make meaningful life choices.

Identity achievement refers to the successful resolution of this conflict, where individuals have gone through a process of exploration, self-reflection, and decision-making, ultimately arriving at a clear and coherent sense of self. They have made commitments to particular values, beliefs, relationships, and life goals, and feel a sense of comfort and confidence in their choices.

In the case of seventeen-year-old Simon, who has experienced conflict but now feels comfortable with his choices and commitments, he has likely reached the stage of identity achievement according to Erikson's theory. He has successfully navigated the complexities of adolescence and emerged with a clear and solid sense of his own identity.

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Complete Question:

Seventeen-year-old Simon has gone through a period of conflict over issues relating to his identity, but now he feels comfortable with the choices and commitment he has made. Thomas has achieved what Erikson would call a(n): ___________.

The chance that the next repair duration will be between 3 hours and 7 hours is approximately 0.3022, or 30.22%.

To calculate the probability that the next repair duration will be between 3 hours and 7 hours, we can use the exponential distribution formula. The exponential distribution is defined by a single parameter, λ (lambda), which represents the average rate of occurrence.

In this case, the average repair time after the training campaign is 5 hours. We can calculate the rate parameter λ using the formula λ = 1 / average repair time.

λ = 1 / 5 = 0.2

Now, we need to calculate the cumulative distribution function (CDF) values for the lower and upper bounds of the repair duration.

CDF_lower = 1 - e^(-λ×lower bound)

= 1 - \(e^{-0.2*3}\)

≈ 1 - \(e^{-0.6}\)

≈ 1 - 0.5488

≈ 0.4512

CDF_upper = 1 - e^(-λ × upper bound)

= 1 - \(e^{-0.2*7}\)

≈ 1 - \(e^{-1.4}\)

≈ 1 - 0.2466

≈ 0.7534

Finally, we can calculate the probability that the next repair duration will be between 3 hours and 7 hours by subtracting the lower CDF value from the upper CDF value.

Probability = CDF_upper - CDF_lower

= 0.7534 - 0.4512

≈ 0.3022

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Answer: The overall probability of getting three outcomes in strictly increasing order, given that one of the outcomes is 5, is:

(1/6) * (1/5) * (1/4) * 2 = 1/60

The factor of 2 accounts for the two possibilities of having the 5 appear as the first or second roll.

Step-by-step explanation:

If one of the outcomes is 5, then there are only two possibilities for the other two outcomes to be in strictly increasing order: either they are 6 and something else, or they are something else and 6.

The probability that the first roll is a 5 is 1/6. If the first roll is a 5, then the probability that the second roll is a 6 is 1/5, since there are 5 remaining numbers on the die that are larger than 5.

If the first roll is not a 5, then the probability that the second roll is a 6 is also 1/5, since there are still 5 remaining numbers on the die that are larger than the first roll.

Finally, the third roll must be the remaining number that is larger than the first two rolls. There is only one such number, so the probability of it occurring is 1/4.

Therefore, the overall probability of getting three outcomes in strictly increasing order, given that one of the outcomes is 5, is:

(1/6) * (1/5) * (1/4) * 2 = 1/60

The factor of 2 accounts for the two possibilities of having the 5 appear as the first or second roll.

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Answer:

Step-by-step explanation:

I think it's 21

g(10)=2(10)+1

2x10=20

20+1= 21

sorry wrong answer; I guess the right answer is -0.8

In this problem, we are dealing with a random variable related to people's opinions on a new building project. We are given four options for the correct wording of the random variable and need to determine the correct one. Additionally, we are asked to calculate probabilities associated with the number of people who favor the new building project, ranging from exactly 4 to at most 6.

a) The correct wording for the random variable is "rv = the number of people who are in favor of a new building project." This wording accurately represents the random variable as the count of individuals who support the project.

b) To calculate the probability that exactly 4 people favor the new building project, we need to use the binomial probability formula. Assuming the probability of a person favoring the project is p, we can calculate P(X = 4) = (number of ways to choose 4 out of 10) * (p^4) * ((1-p)^(10-4)). The value of p is not given in the problem, so this calculation requires additional information.

c) To find the probability that less than 4 people favor the new building project, we can calculate P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3). Again, the value of p is needed to perform the calculations.

d) The probability that more than 4 people favor the new building project can be calculated as P(X > 4) = 1 - P(X ≤ 4) = 1 - (P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)).

e) The probability that exactly 6 people favor the new building project can be calculated as P(X = 6) using the binomial probability formula.

f) To find the probability that at least 6 people favor the new building project, we can calculate P(X ≥ 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10).

g) Finally, to determine the probability that at most 6 people favor the new building project, we can calculate P(X ≤ 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6).

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Answer:

x = -2

\((2/3)^{(x-1)} = \frac{27}{8}\)  

Step-by-step explanation:

you have to use logs here

\(ln((2/3)^{x} ) =ln(27/8)\\x ln((2/3) ) =ln(275/8)\\\\\)

x-1  =ln(27/8)/ ln(2/3)

x -1  = -3

x = -2

Answer:

f(x)_x^3x+2+1

f(x)=3x+3

g(x)_4x

Answer: n<11

Step-by-step explanation:

Since the circle is not filled in and the direction of the arrow is left, the inequality is n<11