One possible solution to a diminishing Social Security payroll is to decrease the Social Security benefit by 13%. How
would such a decrease effect the benefits on a salary of $54,000?
a. Benefit would decrease by $1,404 annually.
b. Benefit would decrease by $7,020 annually.
Ć. Benefit would decrease by $8,640 annually.
d. Benefit would decrease by $15,660 annually.

Answer:

140

Step-by-step explanation:

7(2x-3y)

7(2*7-3(-2))

7(14+6)

7(20)

140

Answer:

x = 1

Step-by-step explanation:

By the property of intersecting chords inside a circle, we have:

\(4(x + 1) = 8x \\ \\ 4x + 4 = 8x \\ \\ 4 = 8x - 4x \\ \\ 4 = 4x \\ \\ x = \frac{4}{4} \\ \\ \huge \red{ x = 1}\)

In order to solve this problem, we use the binomial distribution formula. We are given the following information: p = 0.40, n = 75 and we want to find P(X ≥ 25), where X is the number of injuries incurred during family dispute mediation.

Step 1: Find the mean and standard deviation.μ = np = 75 × 0.40 = 30σ = sqrt(np(1 − p)) = sqrt(75 × 0.40 × 0.60) = 4.58.

Step 2: Use the normal approximation to the binomial distribution to find P(X ≥ 25).We need to find the z-score first.z = (25 − μ) / σ = (25 − 30) / 4.58 = −1.09Using a normal distribution table or calculator, we can find the probability:P(X ≥ 25) = P(Z ≥ −1.09) = 0.8621

Given that the probability that a police officer is injured during family dispute mediation is 40%. The metropolitan police department reviews the last 75 cases of police injury.

We have to find the probability that 25 or more of these injuries were incurred during family dispute mediation using binomial distribution formula.

So, we have:np = 75 × 0.40 = 30σ = sqrt(np(1 − p)) = sqrt(75 × 0.40 × 0.60) = 4.58We can use normal approximation to the binomial distribution to find

P(X ≥ 25)z = (25 − μ) / σ = (25 − 30) / 4.58 = −1.09Using a normal distribution table or calculator, we can find the probability:P(X ≥ 25) = P(Z ≥ −1.09) = 0.8621.

Thus, the probability that 25 or more of these injuries were incurred during family dispute mediation is 0.8621.

we can say that the probability of 25 or more police injuries incurred during family dispute mediation out of 75 cases is 0.8621.

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The solution in interval notation is (-∞,1)∪ (5, ∞).

What is compound inequality?

A sentence that joins two inequality declarations together, typically using the conjunctions "or" or "and," is referred to as a compound inequality." The word "and" indicates that both claims in the compound sentence are true at the same time. It occurs when the multiple statement's solutions sets overlap or intersect.

Here. we have

Given:  inequality  4y+3>23 or -2y>-2

We have to solve this compound inequality and write the solution in interval notation.

4y+3>23

Now, we will first subtract 3 from both sides and we get

4y > 20

Now, we divide both sides by 4

y > 5

Hence, the solution in interval notation is (5, ∞)

-2y>-2

First, we divide both sides by -2 and we get

y < 1

The solution in interval notation is (-∞,1)

Hence, the solution in interval notation is (-∞,1)∪ (5, ∞).

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a bakery uses 8 tablespoons of honey for every 10 cups of flour so how many tablespoons of honey do they use with 20 cups of flour ​

we can use a rule of three

Step 1

define

there is a relation between the honey and the flour, is needs to be constant, so

Step 2

fin the ratio

Now

Step 3

solve for x

so, he uses 16 tablespoons

- Move all descriptions that match each group of shapes to the table. - Descriptions may be used more than once. - The groups are: exactly 4 equal sides, exactly 2 equal sides, and quadrilaterals.

To solve this task, you should carefully read and analyze each description and match it to the correct group of shapes. The groups are: exactly 4 equal sides, exactly 2 equal sides, and quadrilaterals. Start by identifying the shapes that have exactly 4 equal sides. Look for descriptions such as "all sides are equal in length" or "all sides are the same length." Move these descriptions to the table.

Next, focus on the shapes with exactly 2 equal sides. Look for descriptions like "only opposite sides are equal" or "one pair of sides have the same length." Move these descriptions to the table as well. Finally, locate the quadrilaterals. These are shapes with 4 sides. Move the corresponding descriptions to the table. Descriptions like "a polygon with 4 sides" or "a shape with 4 straight sides" indicate a quadrilateral.

Remember that descriptions may be used more than once if they apply to multiple shapes. Carefully consider each description and the properties of the given shapes before making your selections.

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Answer:

1. x = 2.6

2. 7x + 1

Step-by-step explanation:

1. If 4.75x = 12.35, what is the value of x?

The equation is 4.75x = 12.35

The value of x can be determined by dividing both sides of the equation by 4.75

4.75x / 4.75 = 12.35 / 4.75

x = 2.6

2. What is 3x + 2 + 4x - 1 after combining like terms

Combining terms with variable x and constant terms (without any variable)

3x + 2 + 4x - 1

3x + 4x + 2 - 1

7x + 1

Answer:

1st: -3

2nd: 2

3rd: DNE

4th: -1

Step-by-step explanation: Just got it right! :]

Answer:

x=15 :)

Step-by-step explanation:

Answer:

we cant see the picture-

Step-by-step explanation:

Answer:

Step-by-step explanation:

so do i download it?

Answer:

-1

Step-by-step explanation:

2y+6=1 -3y

add three to both sides and minus 6 from both sides becasue you want to get y by itself

5y=-5

now both sides by 5

y=-1

Answer:

y=−1

Step-by-step explanation:

2y+6=1−3y

Step 1: Simplify both sides of the equation.

2y+6=1−3y

2y+6=1+−3y

2y+6=−3y+1

Step 2: Add 3y to both sides.

2y+6+3y=−3y+1+3y

5y+6=1

Step 3: Subtract 6 from both sides.

5y+6−6=1−6

5y=−5

Step 4: Divide both sides by 5.

y=−1

Steps to solve:

3.9x + 1.4 = 17

~Subtract 1.4 to both sides

3.9x = 15.6

~Divide 3.9 to both sides

x = 4

Best of Luck!

From the question above, Map measurement: 21 centimeters

Map scale: 1:50,000

Earth distance: km

We know that,Earth's actual distance = Map distance × Map scale

Applying the formula,Earth's actual distance = 21 cm × 50,000 = 1050000 cm = 10500 m = 10.5 km (Approximately)

Therefore, the Earth's actual distance is 10.5 km (approx).

From the question above, Map measurement: 1.3 centimeters

Map scale: 1:24,000

Earth distance: METERS

We know that,

Earth's actual distance = Map distance × Map scale

Applying the formula,

Earth's actual distance = 1.3 cm × 24,000 = 31200 cm = 312 m

Therefore, the Earth's actual distance is 312 m (approx).

Hence, the required answer is 312 m.

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Answer:

The price of one hotdog is $2.50

Step-by-step explanation:

You can first write this out as an equation to make it easier to solve.

Lets say that x= the price of a hot dog and y= the price of popcorn

The equation would be:

6x + y = 18.20

We know that y= 3.20 so we can subtract 3.20 from 18.20. That will leave us with 6x = 15

Then, we just have to divide both sides by 6 and our answer comes out as x = 2.50

Answer:

2.50

Step-by-step explanation:

18.20 - 3.20 = 15.00

15.00 ÷ 6(hotdogs) = 2.5

Add a 0 at the end: 2.50

So the cost of one hotdog is $2.50

( why does that hot dog cost that much ;-; )

No, a fraction is not a term. The distributive property can be applied to fractions because it is a general mathematical principle.

A fraction is not considered a term in the traditional sense. It is a mathematical expression that represents division. However, the distributive property can still be applied to fractions because the property itself is a fundamental rule of arithmetic that extends beyond specific types of expressions.

The distributive property states that for any real numbers a, b, and c:

a × (b + c) = (a × b) + (a × c).

When working with fractions, we can apply the distributive property as follows:

Let's consider the expression: a × (b/c).

We can rewrite this as: (a × b)/c.

Now, let's distribute the 'a' to 'b' and 'c':

(a × b)/c = (a/c) × b.

In this step, we applied the distributive property to the fraction (a/c) by treating it as a whole.

Although fractions represent division, we can still use the distributive property because it is a general mathematical principle that allows for manipulating expressions involving addition, subtraction, multiplication, and division.

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Answer:

no they both are not reasonable..yes verbal descriptions can lack precision

Step-by-step explanation:

To prove that someone who follows the two rules would live forever, let's analyze the situation.

According to the rules:

(1) Always speak the truth.

(2) Each day, say "I will repeat this sentence tomorrow."

Let's assume that there is a person, let's call them Alice, who follows these rules.

On the first day, Alice says, "I will repeat this sentence tomorrow." Since Alice always speaks the truth, we can trust that she will indeed repeat the sentence the next day.

On the second day, Alice repeats the sentence as promised. Now, on this day, she again says, "I will repeat this sentence tomorrow." According to the rules, she must speak the truth, so we can trust that she will repeat the sentence the following day.

This pattern continues indefinitely. Every day, Alice faithfully repeats the sentence, always speaking the truth.

Now, if Alice were to live forever, she would continue following these rules and repeating the sentence every day. Therefore, it seems that Alice could potentially live forever based on this reasoning.

However, in reality, this scenario cannot work for a few reasons:

1. Mortality: Humans are mortal beings, which means they have a limited lifespan. Regardless of the rules or statements, humans are subject to aging and eventual death. Following the given rules cannot override this fundamental aspect of human existence.

2. Logical Paradox: The statement "I will repeat this sentence tomorrow" leads to a logical paradox. If Alice were to live forever and always repeat the sentence the next day, there would never be a day when the sentence is not repeated.

This creates a contradiction because at some point, the sentence would have to be broken or not repeated, which contradicts the initial statement.

Therefore, while the reasoning may appear valid on the surface, it does not align with the reality of human mortality and leads to logical contradictions. Following these rules cannot guarantee eternal life.

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Answer:

C: 5 3/8

Step-by-step explanation:

The length of each straw half is 5.375

A= 6.25

B = 5.65

C = 5.375

D = 5.125

Answer:

93

Step-by-step explanation:

Given the data:

$79,$ $84,$ $86,$ $92,$ $93,$ and $97

79, 84, 86, 92, 93, 97

Highest possible score obtainable in a test = 100

Hence to calculate the highest possible score she could still attain;

We assume she obtained a score of 100 in all remaining 3 tests

Then the data becomes :

79, 84, 86, 92, 93, 97, 100, 100, 100

Median of the dataset:

Q2 = 1/2(n + 1)th term

n = sample size = 9

Q2 = 1/2(9 + 1)th term

Q2 = 1/2(10)th term

Q2 = 5th term

Q2 = 93

The value of the double integral is I = 0.

To calculate the double integral ∬ √(4+12ry) dA dy, we need to determine the limits of integration for each variable and then evaluate the integral.

Assuming the region of integration is not specified, we'll integrate over the entire xy-plane.

The integral can be rewritten as follows:

I = ∫∫ √(4 + 12ry) dA dy

Since there are no specific limits given, we'll integrate from negative infinity to positive infinity for both variables.

I = ∫(-∞ to ∞) ∫(-∞ to ∞) √(4 + 12ry) dx dy

To solve this integral, we'll integrate with respect to x first and then with respect to y.

∫(-∞ to ∞) ∫(-∞ to ∞) √(4 + 12ry) dx dy = ∫(-∞ to ∞) √(4 + 12ry) [x] dx dy

Evaluating the integral with respect to x:

∫(-∞ to ∞) √(4 + 12ry) [x] dx dy = ∫(-∞ to ∞) [x√(4 + 12ry)]|(-∞ to ∞) dy

Since the limits of integration for x are from negative infinity to positive infinity, the term [x√(4 + 12ry)] evaluates to 0. Therefore, the integral becomes:

I = ∫(-∞ to ∞) 0 dy

Integrating a constant value of 0 over the entire y-axis yields a result of 0.

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For a larger input size of 320,000 elements, it will take 240 ms to sort each half and 24 ms to merge the sorted halves, resulting in a total time of 264 ms.

The given information describes the time required for sorting and merging operations on two different input sizes. For 80,000 elements, it takes 18 ms to sort each half, resulting in a total of 36 ms for sorting. Merging the two sorted halves with 80,000 numbers in each takes 40 - 18 = 22 ms.

When the input size is doubled to 320,000 elements, the sorting time for each half increases to 240 ms, as it scales linearly with the input size. The merging time, however, remains constant at 4 ms since the size of the sorted halves being merged is the same.

Thus, the total time for sorting and merging 320,000 elements is the sum of the sorting time (240 ms) and the merging time (4 ms), resulting in a total of 264 ms.

Therefore, based on the given information, the total time required for sorting and merging 320,000 elements is 264 ms.

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Answer:

5a(a + 2)

Step-by-step explanation:

Given

(3a + 1)² - 4a² + 4a - 1 ← expand factor using FOIL

= 9a² + 6a + 1 - 4a² + 4a - 1 ← collect like terms

= 5a² + 10a ← factor out 5a from each term

= 5a(a + 2)

Answer:

it is 1

Step-by-step explanation:

brainliest?

Answer:

9

Step-by-step explanation:

According to the BODMAS

Bracket first, division second, multiplication third

Answer:

363/8π yd²

Step-by-step explanation:

The total area of the circle = πr²

the area of the shaded region = 135/360 × πr² = ⅜ πr² = ⅜ π × 11² = 363/8 π ≈ 136.125 yd²

Answer:

right 3 up 4

Step-by-step explanation:

Answer:

x+3, y+4

Step-by-step explanation:

Answer:

The coordinates of its image are (2, -4)

Step-by-step explanation:

Let us revise the rules of reflection across the axes

∵ The point (2, 4) is reflected across the x-axis

→ By using the first rule above rx-axis (x, y) → (x, -y)

∴ Change the sign of its y-coordinate

∴ Its image is (2, -4)

∴ The coordinates of its image are (2, -4)