PLZthere is a graph next to it​

Answer:

132 degrees

Step-by-step explanation:

To solve this problem, you need to know a couple of rules

1) Inscribed angle theroem: when an angle is inscribed in a circle and touches the other end (as opposed to ending at the diameter of the circle), the measure of this angle is half of the measure of the arc.

2)Angles of a quadrilateral shape add up to 360 degrees.

3) The angles inside a circle and the angles of the circles arclength adds up to 360 degrees.

So first, solve angle S with inscribed angle theorem. 126/2 = 63

Then, use the rule that all arc angles in a circle add up to 360 degrees to find the arc angle from Q to S. 360-90-126 = 144. Now find angle P with inscribed angle theorem by doing 144/2 = 72.

Now, use the rule that all angles in a quadrilateral add up to 360 to find R. 360-93-72-63 = 132.  

Let me know if this doesn't work, I'll look at it again.

Answer:

Step-by-step explanation:

Y=6m/1-m

x=3(m+1)/1-m

Answer:

yo i coy to ghost minder

Answer:

B:80%

Step-by-step explanation:

15% +5%=20%

100%-20%=80%

Answer:

t = -0.9

Step-by-step explanation:

-1(t+8) = -7.1

(t+8) = 7.1

t = -0.9

Given that,

Alonzo is $120 in debt. He makes $15 per hour. He wants to have at least $75 left over after he has paid off his debt.

To find,

The inequality and the solution.

Solution,

Let he make $x per hour. Here, $120 is fixed. $15 is added per hour.

ATQ,

\(120 + 15x\ge 75\)

For atleast, we use \(\ge\).

Subtract 120 from both sides.

\(120 + 15x-120\ge 75-120\\\\15x\ge -45\\\\x\ge -3\)

So, the required answer is greater than -3.

Answer:

35 as a fraction is 7/20

Step-by-step explanation:

Answer:

11/35

Step-by-step explanation:

Step-by-step explanation:

Hey, there!!

Let's simply work with it,

The given coordinates are, P(-2,3) and Q(5,4).

Now, finding the P' and Q'.

Reflection on x- axis .

P(x,y)---------> P' (x,-y)

P (-2,3)----------> P'(-2,-3)

Now, let's find Q'

Reflection on y-axis.

Q(x,y)----------> Q'(-x,y)

Q(5,4)---------> Q'(-5,4)

Now, The points are P'(-2,-3) and Q'(-5,4)

By distance formulae,

\(P'Q' = \sqrt{( {x2 - x1)}^{2} + ( {y2 - y1)}^{2} } \)

Putting their values,

\(P'Q' = \sqrt{( { - 5 + 2)}^{2}( {4 + 3)}^{2} } \)

\(P'Q' = \sqrt{( { - 3)}^{2} + ( {7)}^{2} } \)

Simplifying them we get,

\(pq = \sqrt{58} \)

Therefore, the distance between P'and Q' is root under 58 units.

Hope it helps...

Answer:

A=36 square units

Step-by-step explanation:

Answer: Y = e^2

The steps are shown in the picture!

Answer:

1 true

2 false

3 true

4 true

5 false

Time = distance / speed

Time = 3 2/5 miles / 4 miles per hour

Time = 17/5 / 4

Time = 17/5 x 1/4 = 17 x 1 / 5 x 4 = 17/20 hours

17/20 hours x 60 minutes per hour = 51 minutes.

The maximum possible value that dn can take on is 1.

The given sequence \(an = (10^n - 1) / 9\) generates numbers with repeating digits. For example, \(a1 = 1, a2 = 11, a3 = 111\), and so on. To find the greatest common divisor (gcd) between two consecutive terms, we can observe that \(an+1 = 10*an + 1\). Since 10 and 1 are relatively prime, the gcd of an and an+1 will always be 1. This means that dn, the gcd between two consecutive terms of the sequence, will have a maximum value of 1.

The concept of gcd (greatest common divisor) is fundamental in number theory and has various applications. It is used in prime factorization, modular arithmetic, and solving linear Diophantine equations, among other areas. Understanding the properties of gcd and how it relates to sequences and numbers can provide insights into number patterns and divisibility rules.

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The probability that all four of the night-shift employees are men is found to be 0.097.

The total number of employees are 13. The number of women and men employees are eight and five respectively.

The probability of an event is,

P(E) = Total favorable outcomes/total number of possible outcomes.

Here in this case,

The total possible outcomes are 13C4,

So, we get, total possible outcomes = 715

Total favorable outcome are 8C4,

So, we get, total favorable outcomes = 70

Probability that all the employees working at night are men is,

P(E) = 70/715

P(E) = 0.097

So, the probability that all four night shift employees are men is 0.097.

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Answer:

Answer will be 8ab.

Kindly let me know if that is what you meant coz the question isnt very clear..

hope it helps you :)

Answer: 8ab

1. Move 8 to the left of ab.

Answer:

y + 4 = 5(x + 8)

Step-by-step explanation:

Slope: 5 => m = 5

Point: (-8, -4) => x = -8 and y = -4

y - y1 = m(x - x1)

y - (-4) = 5(x - (-8))

y + 4 = 5(x +8)

Social Security represents approximately 33% of the income of elderly citizens in the United States, serving as a significant portion of their financial support during retirement.

Social Security plays a crucial role in the financial well-being of elderly citizens in the United States, representing around 33% of their income. For many retirees, Social Security serves as a primary or substantial income source. The program provides monthly benefits to retired workers based on their lifetime earnings.

While the exact percentage can vary depending on individual circumstances, including other sources of income like pensions and personal savings, Social Security remains a significant pillar of financial support for the elderly. It ensures a level of income stability and helps cover essential expenses, such as housing, healthcare, and basic needs, during retirement years.

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To show that the lorry is traveling below the speed limit, we need to convert its speed from meters per second to kilometers per hour and compare it to the speed limit of 50 km/h.

The lorry's speed is given as 13.6 m/s. To convert this to kilometers per hour, we multiply it by the conversion factor: Speed (km/h) = Speed (m/s) * (3.6 km/h) = 13.6 * 3.6 = 48.96 km/h. Comparing the lorry's speed of 48.96 km/h to the speed limit of 50 km/h, we can see that the lorry is traveling below the speed limit.

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The length of the legs are 20 cm and 21 cm

The Pythagorean Theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

We know that from the Pythagoras theorem;

\(c^2 = a^2 + b^2\)

Let the hypotenuse be c and the other two sides be a and b

We have that;

\(29^2 = x^2 + (x -1)^2\\841 = x^2 + x^2 - 2x + 1\\841 = 2x^2 - 2x + 1\\2x^2 - 2x + 1 - 841 = 0\\2x^2 - 2x - 840 = 0\\x = -20 or 21\)

Since length can not be negative, x = 21 cm

Thus the other leg is 20 cm

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If we know that hanj is a decreasing sequence and all its terms lie between the numbers 5 and 8, it can be explained as follows:

Decreasing Sequence: The term "decreasing sequence" means that each subsequent term in the sequence is smaller than its preceding term. In the case of hanj, this implies that each hanj term is smaller than the one that comes before it. This information establishes the order and pattern of the sequence.

Upper Bound: The fact that all the terms of hanj lie between the numbers 5 and 8 indicates that no term in the sequence exceeds the value of 8. This upper bound of 8 sets a limit on the magnitude of the hanj terms, ensuring they do not exceed this value.

Lower Bound: Similarly, the statement suggests that none of the hanj terms is less than the number 5. This establishes a lower bound for the sequence, indicating that the terms are not smaller than 5.

Combining these two bounds (5 and 8) along with the decreasing nature of the sequence, we can conclude that the hanj sequence is a monotonically decreasing sequence with terms ranging from 5 to 8, inclusive.

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Answer:

  x - 4y = 0 . . . in standard form

  y = (1/4)x . . . in slope-intercept form

Step-by-step explanation:

The slope of the given line is ...

  m = (y2 -y1)/(x2 -x1) = (9 -(-7))/(-1 -3) = 16/-4 = -4

The slope of the perpendicular line is the negative reciprocal of this:

  desired slope = -1/m = -1/-4 = 1/4

This can be used in the point-slope form of the equation of a line:

  y -h = m(x -k) . . . . . line with slope m through point (h, k)

Your perpendicular line has a slope of 1/4 and goes through point (4, 1), so its equation can be written as ...

  y -1 = (1/4)(x -4)

  y = (1/4)x -1 +1

  y = (1/4)x

In standard form, this is ...

  4y = x

  x -4y = 0

Answer:

M(6,3)

Step-by-step explanation:

Find the average of your x1 and x2 and your y1 with your y2.

Don't change which ordered pair is 1 or 2.

so:

U(2,3)

V(10,3)

M(x,y)

x= (2+10)÷2=(12)÷2=6       X=6

y=(3+3)÷2=6÷2=3             Y=3

Answer:

x=4

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(\theta =cos^{-1}\left(\frac{90^2+55^2-50^2}{2(55)90}\right)\\ \\ \theta =cos^{-1}\left(\frac{8625}{9900}\right)\\ \\ \theta =2.9^o\)

Answer:

29.4

Step-by-step explanation:

a) the unique ratio of equilibrium prices is p1/p2 = 1/1 = 1.

b) the Pareto efficient allocations occur when agent 1 consumes all of good 1 and agent 2 consumes all of good 2. This means that x11 = 1, x21 = 0, x12 = 10, and x22 = 10.

c) To make this a Walrasian equilibrium, we can adjust the endowments as follows:

Agent 1's new endowment: (1, 10 - x12) = (1, 0)

Agent 2's new endowment: (0, 10 - x22) = (0, 0)

By adjusting the endowments, we ensure that the total endowment matches the total demand at the Pareto efficient allocation, making it a Walrasian equilibrium.

a) To find the Walrasian equilibria of the economy, we need to determine prices at which the demand for each good matches the total endowment of the economy.

Let's denote the prices of goods 1 and 2 as p1 and p2, respectively. The demand for good 1 by agent i is given by x_i1^d = e_i1 - (p1/p2)e_i2, where e_i1 is the endowment of good 1 for agent i and e_i2 is the endowment of good 2 for agent i.

The total demand for good 1 in the economy is x_11^d + x_21^d = (1 - (p1/p2)) + 0 = 1 - (p1/p2).

Similarly, the total demand for good 2 in the economy is x_12^d + x_22^d = 10 + 10 = 20.

Since the total demand for each good must equal the total endowment, we have the following equations:

1 - (p1/p2) = 1 --> p1 = p2

20 = 10 + 10(p1/p2)

Simplifying the second equation, we get:

20(p2/p1) = 20

p2 = p1

Therefore, the unique ratio of equilibrium prices is p1/p2 = 1/1 = 1.

b) Pareto efficient allocations are those where it is not possible to make one agent better off without making the other worse off. To find the Pareto efficient allocations, we can compare the agents' utilities.

Agent 1's utility function is u1(x11, x12) = v(x11) + x12.

Agent 2's utility function is u2(x21, x22) = v(x21) + x22.

Since v is a strictly concave and increasing function, it implies that for a fixed value of x_i2, increasing x_i1 will always increase the utility of agent i. Similarly, increasing x_i2 will also increase the utility.

Therefore, the Pareto efficient allocations occur when agent 1 consumes all of good 1 and agent 2 consumes all of good 2. This means that x11 = 1, x21 = 0, x12 = 10, and x22 = 10.

c) To make a Pareto efficient allocation a Walrasian equilibrium, we need to adjust the endowments such that the total demand for each good matches the total endowment at the given Pareto efficient allocation.

In this case, the Pareto efficient allocation is x11 = 1, x21 = 0, x12 = 10, and x22 = 10.

To make this a Walrasian equilibrium, we can adjust the endowments as follows:

Agent 1's new endowment: (1, 10 - x12) = (1, 0)

Agent 2's new endowment: (0, 10 - x22) = (0, 0)

By adjusting the endowments, we ensure that the total endowment matches the total demand at the Pareto efficient allocation, making it a Walrasian equilibrium.

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the coordinates (1,1), (7,3), (8,0) and (2,-2) are joined which shape is formed as Square

When the coordinates (1,1), (7,3), (8,0) and (2,-2) are joined, a square is formed. The sides are equal length and the angles are all 90 degrees.The coordinates (1,1), (7,3), (8,0) and (2,-2) are points on a two-dimensional plane. When the points are connected, a square is formed. A square is a four sided shape with four 90 degree angles and four equal length sides. The length of each side can be calculated by finding the distance between the two points. For example, the distance between (1,1) and (7,3) is 6 units. Therefore, the length of each side of the square is 6 units.

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