Please Help, I will give a brainleist to the right answer.

Answer:

they are

Step-by-step explanation:

divide 12*4=3

9*3=3

same ratio

c. $1,293.40 is the Santos's monthly Social Security benefit, after delaying collecting for 2 years.

If Santos delays collecting his Social Security benefits for 2 years, he will be eligible for delayed retirement credits. The amount of the increase depends on his birth year and the specific rules in place at the time. As of my knowledge cutoff in September 2021, for individuals born in 1943 or later, the delayed retirement credit is 8% per year for each year of delay beyond full retirement age.

Assuming Santos's original benefit at full retirement age was $1,115.00, we can calculate the increase after a 2-year delay:

Increase = Original Benefit * (Delayed Retirement Credits per year * Number of years of delay)

Increase = $1,115.00 * (0.08 * 2)

Increase = $1,115.00 * 0.16

Increase = $178.40

To calculate Santos's monthly Social Security benefit after the 2-year delay, we add the increase to his original benefit:

New Benefit = Original Benefit + Increase

New Benefit = $1,115.00 + $178.40

New Benefit = $1,293.40

Santos's monthly Social Security benefit, after delaying collecting for 2 years, would be approximately $1,293.40. Therefore, Option c is correct.

The question was incomplete. find the full content below:

Calculate Santos's monthly Social Security benefit if he delays collecting for 2 years and his original benefit at full retirement age was $1,115.00.

a. $1,156.90

b. $1,209.35

c. $1,293.40

d. $1,315.50

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Answer:

b

Step-by-step explanation:

\( {x}^{ - \frac{5}{3} } = = = > \\ \frac{1}{x} ^{ \frac{5}{3} } \)

So the root is 3 and the power is 5

finally your answer

\( \frac{1}{ \sqrt[3]{ {x}^{5} } } \)

9514 1404 393

Answer:

  54

Step-by-step explanation:

The external angle is half the difference of the subtended arcs.

  x° = (136° -28°)/2 = 108°/2

  x = 54

Answer:

Step-by-step explanation:

let the height of tree=h

\(\frac{h}{38} =\frac{37}{75} \\h=\frac{37}{75} \times 38 \approx 18.75 ~cm\)

(1) 6 students read all three courses.

(II) 37 students read only one course.

(III) 77 students read exactly two courses.

(IV) 73 students read Accountancy irrespective of Sociology or French.

Let A represent the number of students reading Accountancy, S represent the number of students reading Sociology, and F represent the number of students reading French.

Let X be the number of students reading all three.

From the information given:

A ∩ S = 19

A + S - 27 = 120 - 53 + 19 = 86 (number of students reading Accountancy or Sociology but not French)

S - A - X = 27

S + F - X = 53

F - X = 19

A - X = 86 - 19 = 67

Total = A + S + F - (A ∩ S) - (A ∩ F) - (S ∩ F) + X = 120

Solving, we get X = 6, A = 73, S = 52, F = 25.

(1) 6 students read all three courses.

(II) 37 students read only one course.

(III) 77 students read exactly two courses.

(IV) 73 students read Accountancy irrespective of Sociology or French.

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For the expression \(x^64 + ax^b + 25\) to be a perfect square for all integer values of x, b must be 64, and a must be a perfect square, written as a = \(y^2.\)

To determine the values of a and b such that the expression\(x^64 + ax^b\) + 25 is a perfect square for all integer values of x, we need to analyze the properties of perfect squares.

A perfect square is an expression that can be written as the square of another expression. In this case, we want the given expression to be in the form of\((x^n)^2,\) where n is an even integer.

Let's examine the given expression: \(x^64 + ax^b\) + 25

For it to be a perfect square, the quadratic term \(ax^b\)must have the same exponent as the leading term\(x^6^4.\) This means b must be equal to 64.

So we have:\(x^64 + ax^64 + 25\)

Now, we can rewrite this as:\((x^32)^2 + 2(x^32) (\sqrt{a}) + (\sqrt{25})^2\)

By comparing this with the standard form of a perfect square, (\(x^n +\sqrt{k} )^2\), we can deduce that √a must be equal to x^32 and \(\sqrt{25}\) must be equal to \(\sqrt{k.}\)

Therefore, we have: \(\sqrt{a} = x^3^2\)and\(\sqrt{25} = \sqrt{k}\)

From the second equation, we know that k = 25.

Now, substituting the value of k back into the first equation, we have: \(\sqrt{a} = x^3^2\)

To satisfy this equation for all integer values of x, a must be a perfect square. Therefore, we can express a as a =\(y^2\), where y is an integer.

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The approximate number of guests that were children are 172 and adults are 278

From the complete question, we have the following system of equations

25x + 12y = 9014

x + y = 450

Make y the subject in x + y = 450

y = 450 -x

Substitute y = 450 - x in 25x + 12y = 9014

25x + 12(450 - x) = 9014

Expand the expression

25x + 5400 - 12x = 9014

Evaluate the like terms

13x = 3614

Divide both sides by 12

x = 278

Substitute x = 278 in y = 450 -x

y = 450 - 278

Evaluate

y = 172

Hence, the approximate number of guests that were children are 172 and adults are 278

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Answer:

22. Congruent traingle

24. Similar traingle

We need to compare their corresponding sides and angles to determine if the two triangles are congruent or similar.

Attached flowchart to help you determine if two triangles are congruent or similar: See Attachment:

Properties of the similar triangle:

Properties of the Congruent Triangle:

The theoretical probability is 0.5 while the experimental probability is 0.48. The larger the number of rolls, the closer the experimental probability to the theoretical probability

Experimental probability is a probability that relies mainly on a series of experiments.

Theoretical probability is the theory behind probability. To find the probability of an event, an experiment is not required.

(a) Theoretical probability of rolling an odd number:

1, 2, 3, 4, 5, 6

We have 3 odd numbers out of the 6 numbers. Thus:

Theoretical probability = 3/6 = 1/2 = 0.5

(b) Experimental probability of rolling an odd number:

The odd numbers are 1, 3, and 5. From the tables:

 Experimental probability = (74+ 81 + 85)/500 = 240/500 = 12/25 = 0.48

(c) The more times you roll the cube, the closer the experimental probability is likely to be to the theoretical probability

Therefore, the larger the number of rolls, the greater the likelihood that the experimental probability will be close to the theoretical probability.

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Step-by-step explanation:

Answer in attached image...

hope it helps

(2^-1 -2^-1 × 2^-4)^2

(1/2 - 1/2 × 1/2^4)^2

(1/2 - 1/2^5)^2

(1/2 - 1/32)^2

(16/32-1/32)^2

(15/32)^2

(15/2^5)^2

Must click thanks and mark brainliest

The number of times of Puerto Rico is 5/6

No earthquake released 10³ of Colombia

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

The table of values

On the table of values, we have

Colombia = 6.0M

Puerto Rico = 5.0M

This means that

Number of times = Puerto Rico/Colombia

Substitute the known values in the above equation, so, we have the following representation

Number of times = 5/6

Here, we have

Colombia = 6.0M

So, we have

Earthquake = Colombia * 10³

This gives

Earthquake = 6 * 10³

From the table of values, we have no entries with the readings 6 * 10³

Hence, no earthquake released 10³ of Colombia

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Answer:

56 minutes

Step-by-step explanation:

We can use proportions to solve.

6 miles            8 miles

------------     = ------------------

42 minutes        x minutes

Using cross products.

6x = 42 *8

Divide each side by 6

x = 42/6 * 8

x = 7*8

x = 56

The value of angle ABC is 26°

What is a value ?

Depending on where it is in the number, each digit has a different value, which is referred to as value. We figure it out by multiplying the digit's place value by its face value. Place value plus face value equals value.

Values are the benchmarks or ideals by which we judge the acts, traits, possessions, or circumstances of others. Values that are embraced by many include those of beauty, honesty, justice, peace, and charity.

Depending on where it is in the number, each digit has a different value, which is referred to as value. We figure it out by multiplying the digit's place value by its face value. Place value plus face value equals value.

to find the ∠ABC

we know ∠CAB = 64° and ∠BCA = 90°

let ∠ABC be x

x + 64 + 90 = 180

x = 180 - 64 - 90

  = 26°

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Answer:

c=4

Step-by-step explanation:

c-2y=2
add 2 on both sides

c=4
divide by one = c=4

The dimensions of the rectangular block indicates;

(a) The largest number of bricks that can be cut from the block is 48 bricks

(b) The volume of the wood left is 216 cm³

The volume of the rectangular block is the product of the length, L, width, W, and height, H.

1. The dimensions of the rectangular block indicates that the block volume is; V = 24 cm × 9 cm × 7 cm = 1,512 cm³

The largest number of bricks that have side lengths of 3 cm that can be cut from the block is therefore;

Number of cubes; (24)/3 × (9)/3 × (7)/3 ⇒ 8 × 3 × 2 = 48

(b) The volume of wood left = 1512 - 48 × 3 × 3 × 3 = 216

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Answer:

-3/2, -1 1/4, -3/4, -1/2, -3/8

Explanation:

I converted the denominator to 8, figured it out from there.

Hope that helps! :)

Answer:

0.4 hours

Step-by-step explanation:

or 24 minutes :D

Answer:

x= 21/4

Step-by-step explanation:

1- Convert the expressions

5 ( x - 3 3/4 ) = 7 1/2

2- Remove the parentheses

5 ( x - 15/4 ) = 15/2

3- Move the constant to the right

5x - 75/4 = 15/2

4- Calculate the sum

5x = 15/2 + 75/4

5- Divide both sides

5x = 15/2 + 75/4

Answer:

\(4(x^4+7)\)

Step-by-step explanation:

Taking out the greatest common factor,\(16x^4+28=4(x^4+7)\).

The range of the data set are

{10.2, 3.8, 21.9, 33.4, 31.8, 17.2} = 29.6

{0.5, 0.65, 0.22, 0.11, 0.47, 0.55, 0.55, 0.71} = 0.6

{6, 2, 14, 11, 28, 10, 19, 15, 11} = 26

The first data set is

{10.2, 3.8, 21.9, 33.4, 31.8, 17.2}

The range is the difference between the highest value and the smallest value

The highest value = 33.4

Lowest value = 3.8

The range = 33.4 - 3.8

= 29.6

The second data set is

{0.5, 0.65, 0.22, 0.11, 0.47, 0.55, 0.55, 0.71}

The highest value = 0.71

Lowest value = 0.11

The range = 0.71 - 0.11

= 0.6

The third data set is

{6, 2, 14, 11, 28, 10, 19, 15, 11}

Highest value = 28

Lowest value = 2

The range = 28 - 2

= 26

Therefore, the range of the each data set has been found

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Answer:

34.836

Step-by-step explanation:

sin(C)=opp/hyp=16/28=4/7

C= inverse sin = 34.836 deg

The angle of the right-angled triangle using trigonometric ratio is 34.84°.

Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.

For the given situation,

The diagram shows the right-angled triangle.

The hypotenuse side, h = 28

The perpendicular side, p =16

The trigonometric ratio that relates hypotenuse side and the  perpendicular side is sine θ.

\(Sine \theta=\frac{perpendicular}{hypotenuse}\)

⇒ \(Sine\theta = \frac{16}{28}\)

⇒ \(Sine \theta=0.5714\)

⇒ \(\theta = Sine^{-1} (0.5714)\)

⇒ \(\theta = 34.84\)

Hence we can conclude that the angle of the right-angled triangle using trigonometric ratio is 34.84°.

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The calculation of this can be done by first determining the future value of the monthly payments of $327.50

The future value of an annuity can be determined using a financial calculator, mathematical formula, or spreadsheet software. The future value of an annuity is calculated by multiplying the periodic payment amount by the future value factor,

which is based on the number of payments and the interest rate.For example, suppose we want to know the future value of a $500 end-of-month deposit into an annuity that pays 6% interest compounded monthly for five years.

The future value factor for 60 periods at 0.5 percent per month is 80.9747, which can be multiplied by the monthly deposit amount to find the future value of the annuity.500 × 80.9747 = 40,487.35

This means that a $500 end-of-month deposit into an annuity paying 6% interest compounded monthly for five years will have a future value of $40,487.35.

Therefore, to accumulate a $20,000 down payment for a home in five years, you would need to deposit $327.50 per month into the annuity.

 for 60 months using the formula and then solving for the monthly payment amount where FV = $20,000 and n = 60, r = 0.5%.FV = PMT [(1 + r)n – 1] / r$20,000 = PMT [(1 + 0.005)60 – 1] / 0.005PMT = $327.50 (rounded to the nearest cent).

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The experimental probability that the next spin falls in a black region is given as follows:

0.205 = 20.5%.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

205 out of the previous 1000 trials fell in the black region, hence the experimental probability is given as follows:

p = 205/1000

p = 0.205.

p = 20.5%.

The problem asks for the experimental probability that the next spin falls in a black region.

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Answer:

Hello friends

Step-by-step explanation:

Hope it's helpful

Answer:

It's neither

Step-by-step explanation:

The only factor of 1 is 1.

A prime number has exactly two factors so 1 isn't prime.

A composite number has more than 2 factors, so 1 isn't composite either.

so... it's a neutral number.

Hope this helps!