Conclusion: The oldest living person is 119 years old. Evidence:
I am currently taking a class on gerontology, the study of aging.
My professor, who has a PhD in gerontology has assigned us a
variety

Answer:

61 $

Step-by-step explanation:

Answer:

she would get 61 dollars back

Step-by-step explanation:

432+57=489   550-489=61 dollars

Answer:

D

Step-by-step explanation:

Answer:

A= -13/35

B= 13/35

C= -27/35

D= -13/35

The answer is B

The equation of the median PM in triangle PQR with vertices P(2, 3), Q(-3, 7), and R(-1, -3) is y = (1/3)x + 7/3.

To find the midpoint of QR, we calculate the average of the x-coordinates and the average of the y-coordinates. The x-coordinate of point M is (-3 + (-1))/2 = -2/2 = -1, and the y-coordinate of point M is (7 + (-3))/2 = 4/2 = 2.

Therefore, the coordinates of point M are (-1, 2). Now, we have two points, P (2, 3) and M (-1, 2), and we can find the equation of the line passing through these points using the point-slope form.

The slope of the line passing through P and M is (2 - 3)/(-1 - 2) = -1/-3 = 1/3. Using the point-slope form, we have:

y - 3 = (1/3)(x - 2)

Expanding and rearranging the equation, we get:

y = (1/3)x + 7/3

Therefore, the equation of the median PM in triangle PQR is y = (1/3)x + 7/3.

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The calculated measure of angle y is 60 degrees

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

The figure

From the figure, we can see that

The shape can be divided into two triangles such that

Each triangle is an equilateral triangle

The measure of an angle in an equilateral triangle is 60 degrees

using the above as a guide, we have the following:

y = 60

Hence, the value of y is 60 degrees

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Prolific will bike 2 miles to get to the mechanic at the 6th gas station if the pattern continues.

Assuming the rate remains constant, we can use the equation d = rt, where d is the distance, r is the rate, and t is the time. In this case, we want to find the equation to determine the distance of the Nth gas station.

Let's analyze the given information:

The first gas station is 1.5 miles away.

From the second gas station onwards, each gas station is located at a distance 0.1 miles greater than the previous one.

Based on this pattern, we can write the equation for the distance of the Nth gas station as follows:

d = 1.5 + 0.1(N - 1)

B. To find the distance Prolific will bike to get to the 6th gas station, we can substitute N = 6 into the equation from part A:

d = 1.5 + 0.1(6 - 1)

= 1.5 + 0.1(5)

= 1.5 + 0.5

= 2 miles

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Marie's new copier cost $2400 and received a 4-year add-on interest loan at an annual rate of 12%. Over the course of the loan, she will pay $1152 in interest. Her monthly payments will be $70.

To calculate the interest Marie will pay, we first need to find the total amount she will repay over the 4-year loan period. An add-on interest loan means that the interest is calculated upfront and added to the principal amount. In Marie's case, the interest will be calculated on the original $2400 loan amount.

The total amount that Marie will repay is calculated by adding the original loan amount to the total interest payable. Using the formula: Total Repayment = Principal + (Principal x Interest Rate x Loan Term), we can calculate that the total amount Marie will repay is $3552.

To determine the interest payable, we subtract the original loan amount from the total amount repaid: Interest = Total Repayment - Principal. In this case, the interest payable is $1152.

Finally, we can calculate the monthly payments by dividing the total repayment amount by the number of months in the loan term. As the loan is over 4 years or 48 months, the monthly payment amount is $3552 ÷ 48 = $70.

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if 40 makes him 30 mins late and 60 makes him 30 mins early then it only would make since that in between both 40 and 60 is 50 and that would make him go on time

mr. earl e. bird leaves his house for work at exactly 8:00 a.m. every morning

when he averages 40 miles per hour, he arrives at his workplace thirty minutes late.

when he averages 60 miles per hour, he arrives thirty minutes early.

at what average speed, in miles per hour, should mr. bird drive to arrive at his workplace precisely on time?

if 40 makes him 30 mins late and 60 makes him 30 mins early then it only would make since that in between both 40 and 60 is 50 and that would make him go on time

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The number of edges in a polyhedron cannot be determined without additional information about the shape of the polyhedron.

A polyhedron is expressed in a three-dimensional solid object that has flat faces, straight edges, and sharp corners or vertices.

It is not possible to determine the number of edges in a polyhedron based on the given information alone. The number of edges in a polyhedron depends on the specific shape of the polyhedron, as well as the number of faces and vertices it has.

For example, a tetrahedron has 4 triangular faces and 4 vertices, and each vertex is connected to three edges, so it has a total of 6 edges. On the other hand, an icosahedron has 20 triangular faces and 12 vertices, and each vertex is connected to five edges, so it has a total of 30 edges.

Therefore, the number of edges in a polyhedron cannot be determined without additional information about the shape of the polyhedron.

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The expression (xmynzp)q can be written as xq * yq * zq * p*q, where each base is raised to the power of q.

To simplify the expression (xmynzp)q, we can apply the exponent rules. According to the rule (ab)c = aᶜ * bᶜ, we can distribute the exponent q to each term inside the parentheses.

Starting with the expression (xmynzp), we raise each variable to the power of q:

(xmynzp)q = xq * yq * zq * p*q

This means that each base, x, y, z, and p, is raised to the power of q.

The result of simplifying the expression (xmynzp)q is xq * yq * zq * p*q. Each base is raised to the power of q, and the product of these terms gives the final simplified expression.

Therefore, we have simplified the expression (xmynzp)q to xq * yq * zq * p*q.

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Answer: 302 cm2

Step-by-step explanation:

Hi, to answer this question we have to calculate the surface area of the cubes and the rectangular prism, and the then add them (minus the overlaps)

Surface area of a cube (SAC)= 6 x side length ^2  

Since one side of each cube is covered by each other, we simply have to multiply the area of one side by 5 instead of 6.

SAC = 5 x (2)^2 = 20 cm2

Since both cubes are equal, we simply multiply it by 2:

20 x 2 = 40 cm2 (surface area of the 2 green cubes)

Surface Area of a rectangular prism (SAP) = 2wl + 2lh + 2hw

Where:

w = width (5); l = length (11); h = height (5)

SAP = 2 (5x 11) + 2 (11 x5) + 2 (5x5) = 110+110+50=270 cm2

Finally, adding both surface areas, and subtracting the base area of the bottom cube covered by the prism multiplied by 2 ( overlap )

270+40-2(4) = 302 cm2

Given the information, we have the following circle shaped pizza:

we can use the following equation for the area of a circle:

in this case, since the diameter is d = 8in, the radius is:

then, using the formula, we get:

therefore, the area of the small pizza is 50.3 square inches

if it has a diameter of 10, that means its radius is half that or 5.

\(\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=5\\ h=16 \end{cases}\implies V=\pi (5)^2(16)\implies V=400\pi\)

Answer: The answer is A, 400π m3

Step-by-step explanation:

The stretch of an exponential decay function is y = 2(1/5)ˣ

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

The list of exponential functions

An exponential function is represented as

y = abˣ

Where

In this case, the exponential function is a decay function

This means that

The value of b is less than 1

An example of this is, from the list of option is

y = 2(1/5)ˣ

Hence, the exponential decay function is y = 2(1/5)ˣ

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Complete question

Which is a stretch of an exponential decay function?

Of(x) = -(5)ˣ

Of(x) = 5(2)ˣ

O fix) = 2(1/5)ˣ

If Becky buys 1 cup of coffee and 4 pieces of cake, her total utility can be calculated by summing the individual utilities for each item consumed. According to the given estimates, the total utility from 1 cup of coffee is 35, and the total utility from 4 pieces of cake is 91. Therefore, Becky's total utility for this consumption bundle would be 35 + 91 = 126.

The table provided showcases the relationship between the quantities of coffee and cake and their respective utilities. Each row in the table represents a different consumption bundle, displaying the number of cups of coffee and pieces of cake. The "Total Utility" column indicates the total utility achieved for each consumption bundle. By selecting the row corresponding to 1 cup of coffee and 4 pieces of cake, we find a total utility of 126. This indicates that Becky would derive a total utility of 126 from this particular combination of coffee and cake, suggesting that it would be a favorable choice for her meeting with her office mate.

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Answer:

4 + - 0.50 = 3.50

Step-by-step explanation:

-6 +10 = 4

-0.75 + 0.25 = - 0.50

Answer:

40

Step-by-step explanation:

and any (subsequent words) was ignored because we limit queries to 32 words.

Hence, the length of the curve defined by the parametric equations x = 4sin^2(t) and y = 4cos^2(t) over the interval 0 ≤ t ≤ 5π is 20π units.

To find the distance traveled by the particle, we need to calculate the length of the curve defined by the parametric equations x = 4sin^2(t) and y = 4cos^2(t) over the given time interval 0 ≤ t ≤ 5π.

We can use the arc length formula to calculate the length of the curve. The arc length formula for a parametric curve defined by x = f(t) and y = g(t) is given by:

L = ∫[a, b] √[f'(t)^2 + g'(t)^2] dt

where f'(t) and g'(t) are the derivatives of f(t) and g(t) with respect to t.

Let's start by finding the derivatives of x and y with respect to t:

x = 4sin^2(t)

x' = d/dt(4sin^2(t))

= 8sin(t)cos(t)

= 4sin(2t)

y = 4cos^2(t)

y' = d/dt(4cos^2(t))

= -8cos(t)sin(t)

= -4sin(2t)

Now, let's calculate the length of the curve using the arc length formula:

L = ∫[0, 5π] √[x'(t)^2 + y'(t)^2] dt

= ∫[0, 5π] √[16sin^2(2t) + 16sin^2(2t)] dt

= ∫[0, 5π] √[32sin^2(2t)] dt

= ∫[0, 5π] √[32sin^2(2t)] dt

= ∫[0, 5π] 4√[2sin^2(2t)] dt

= 4∫[0, 5π] √[2sin^2(2t)] dt

= 4∫[0, 5π] √[2(1 - cos^2(2t))] dt

= 4∫[0, 5π] √[2(1 - (1 - 2sin^2(t))^2)] dt

= 4∫[0, 5π] √[2(2sin^4(t))] dt

= 4∫[0, 5π] √[8sin^4(t)] dt

= 4∫[0, 5π] 2sin^2(t) dt

= 8∫[0, 5π] sin^2(t) dt

We can use the trigonometric identity sin^2(t) = (1 - cos(2t))/2 to simplify the integral further:

L = 8∫[0, 5π] sin^2(t) dt

= 8∫[0, 5π] (1 - cos(2t))/2 dt

= 4∫[0, 5π] (1 - cos(2t)) dt

= 4∫[0, 5π] dt - 4∫[0, 5π] cos(2t) dt

The integral of dt over the interval [0, 5π] is simply the length of the interval, which is 5π - 0 = 5π. The integral of cos(2t) over the same interval is zero since the cosine function is periodic with period π.

Therefore, the length of the curve is given by:

L = 4(5π) - 4(0)

= 20π

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Answer:

102 beads will be used for each necklace.

Step-by-step explanation:

3,264/32=102

9514 1404 393

Answer:

  obtuse triangle

Step-by-step explanation:

The two shortest sides are 7, 15. Their sum is 7+15 = 22, which is longer than the longest side, so these lengths will form a triangle.

__

The "form factor" can be computed to be ...

  a^2 +b^2 -c^2 . . . . . where c = longest side

This value is ...

  7^2 +15^2 -21^2 = 49 +221 -441 = -167

This negative value indicates the largest angle is more than 90°, so the triangle is obtuse.

_____

Additional comment

This "form factor" has the same sign as the cosine of the largest angle. The cosine is negative for angles greater than 90°. The cosine of the angle is ...

  "form factor"/(2ab) = -167/210

  largest angle = arccos(-167/210) ≈ 142.678°

Answer:

$330.03

Step-by-step explanation:

You start by adding all of the pairs of pants: 57. Then, you multiply 57 by $5.79: 330.03

Answer:

The correct is the little (B) 0.76

Answer:

The colours of the rainbow are: Red, orange, yellow, green, blue, indigo, violet.

Answer:

blue , green, red , orange. yellow, pink purple,

Step-by-step explanation:

your welcome

Step-by-step explanation:

you add 9% to a number by multiplying that number by 1.09.

because adding 9% gives us in the end 109% of the original amount.

anyway, the formula for quarterly compounded interest is

Cq = P [ (1+r)^(4*n) – 1 ]

P is the starting principal amount

r is the interest rate per quarter (= interest rate / 4)

n would be the number of years (= 1 in our case).

so, the interest after 1 year is

12500((1 + 0.09/4)⁴ - 1) = 12500(1.0225⁴ - 1) =

= 12500 × 0.093083319 = $1,163.541485 ≈ $1,163.54

Answer:

Calories are transferred to flea beetle = 150 Calories

Calories are transferred to the sparrow = 15 Calories

Step-by-step explanation:

Given:

Calories in grass = 1,500 Calories

Find:

Calories are transferred to flea beetle

Calories are transferred to the sparrow

Computation:

According to food chain level only 10 % of Calorie transferred to the next level.

So,

Calories are transferred to flea beetle = 10% (Calories in grass)

Calories are transferred to flea beetle = 10% (1,500)

Calories are transferred to flea beetle = 150 Calories

Calories are transferred to the sparrow = 10% (Calories are transferred to flea beetle)

Calories are transferred to the sparrow = 10% (150)

Calories are transferred to the sparrow = 15 Calories

Answer:

C. The amount of money that is raised

Step-by-step explanation:

in the equation, it is the amount of money that is raised because how much money is raised affects the amount of basketballs purchased.

In other words, if the amount of money is less, then there will be less basketballs purchased as a result. If the amount of money is more, then there will be more basketballs purchased as a result.

Answer:

C. the amount of money that is raised

Step-by-step explanation:

I always think of it like this:

independent: money they are raising

dependent: the amount of a certain item the money is being used on

Answer:

2/4

Step-by-step explanation:

rise/run

go up (rise) 2, run 4

2/4

In Animal Farm, Boxer, many piglets, hens, and a lot of other nameless creatures all perish under Napoleon's tyranny.

The framework, the structure, within which a story is produced, is known as the plot of a story. It almost acts as the blueprint for how all the many parts of a literary work fit together to form a finished product. The five elements that make up a story's plot are as follows: the introduction, also known as exposition, in which the reader is given background information on the narrative's characters and setting as well as other essential details.

The three main parts of a story are the rising action, the climax, and the falling action. The rising action is when the writer builds up the information and develops the story to lead the reader to the story's crucial point. The climax is essentially the heart of the story and the point at which the action reaches its highest pitch. To prepare for the story's conclusion, the loose ends also start to be tied off. The conclusion of the story, or resolution, comes last.

Boxer is now known as the most pitiful of Orwell's characters because of his death in this chapter. Napoleon has completely brainwashed him; as a result, he lives (and dies) for the benefit of the farm, whose boss sells him to a knacker as soon as he becomes unfit for labor.

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The absolute value inequality that represents the conclusion about "p" is |p - 0.45| ≤ 0.013.

To describe the conclusion about the proportion "p" using an absolute value inequality based on the given information, we can use the margin of error to create a range within which the true proportion is likely to lie.

Let's denote the proportion of people who like dark chocolate more than milk chocolate as "p." According to the poll, the observed proportion is 45% (or 0.45) with a margin of error of 1.3%.

To find the range for "p," we can subtract and add the margin of error from the observed proportion:

Lower Bound: p - Margin of Error

Upper Bound: p + Margin of Error

In this case, the lower bound is 0.45 - 0.013 (1.3% as a decimal) and the upper bound is 0.45 + 0.013. Simplifying, we get:

Lower Bound: 0.437

Upper Bound: 0.463

Therefore, this inequality states that the true proportion "p" is likely to fall within 0.013 of 0.45, meaning it is most likely to be between 0.437 and 0.463.

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Answer:

(1, 2), (3, 4), (5, 2)

Step-by-step explanation:

To find the vertices of the triangle given the midpoints of its sides, we can use the midpoint formula:

\(\boxed{\begin{minipage}{7.4 cm}\underline{Midpoint between two points}\\\\Midpoint $=\left(\dfrac{x_2+x_1}{2},\dfrac{y_2+y_1}{2}\right)$\\\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ are the endpoints.\\\end{minipage}}\)

Let the vertices of the triangle be:

Let the midpoints of the sides of the triangle be:

Since D is the midpoint of AB:

\(\left(\dfrac{x_B+x_A}{2},\dfrac{y_B+y_A}{2}\right)=(2,3)\)

\(\implies \dfrac{x_B+x_A}{2}=2 \qquad\textsf{and}\qquad \dfrac{y_B+y_A}{2}\right)=3\)

\(\implies x_B+x_A=4\qquad\textsf{and}\qquad y_B+y_A=6\)

Since E is the midpoint of BC:

\(\left(\dfrac{x_C+x_B}{2},\dfrac{y_C+y_B}{2}\right)=(4,3)\)

\(\implies \dfrac{x_C+x_B}{2}=4 \qquad\textsf{and}\qquad \dfrac{y_C+y_B}{2}\right)=3\)

\(\implies x_C+x_B=8\qquad\textsf{and}\qquad y_C+y_B=6\)

Since F is the midpoint of AC:

\(\left(\dfrac{x_C+x_A}{2},\dfrac{y_C+y_A}{2}\right)=(3,2)\)

\(\implies \dfrac{x_C+x_A}{2}=3 \qquad\textsf{and}\qquad \dfrac{y_C+y_A}{2}\right)=2\)

\(\implies x_C+x_A=6\qquad\textsf{and}\qquad y_C+y_A=4\)

Add the x-value sums together:

\(x_B+x_A+x_C+x_B+x_C+x_A=4+8+6\)

\(2x_A+2x_B+2x_C=18\)

\(x_A+x_B+x_C=9\)

Substitute the x-coordinate sums found using the midpoint formula into the sum equation, and solve for the x-coordinates of the vertices:

\(\textsf{As \;$x_B+x_A=4$, then:}\)

\(x_C+4=9\implies x_C=5\)

\(\textsf{As \;$x_C+x_B=8$, then:}\)

\(x_A+8=9 \implies x_A=1\)

\(\textsf{As \;$x_C+x_A=6$, then:}\)

\(x_B+6=9\implies x_B=3\)

Add the y-value sums together:

\(y_B+y_A+y_C+y_B+y_C+y_A=6+6+4\)

\(2y_A+2y_B+2y_C=16\)

\(y_A+y_B+y_C=8\)

Substitute the y-coordinate sums found using the midpoint formula into the sum equation, and solve for the y-coordinates of the vertices:

\(\textsf{As \;$y_B+y_A=6$, then:}\)

\(y_C+6=8\implies y_C=2\)

\(\textsf{As \;$y_C+y_B=6$, then:}\)

\(y_A+6=8 \implies y_A=2\)

\(\textsf{As \;$y_C+y_A=4$, then:}\)

\(y_B+4=8\implies y_B=4\)

Therefore, the coordinates of the vertices A, B and C are:

We want to compute the double integral ∬Dx^3y dA over the domain D indicated as 0 ≤ x ≤ 3, x ≤ y ≤ 5x + 5. The double integral of x^3y over the domain D, where 0 ≤ x ≤ 3 and x ≤ y ≤ 5x+5, is equal to 24603.75.

We can set up the integral as follows:

∬Dx^3y dA = ∫0^3 ∫x^(5x+5) x^3y dy dx

The limits of integration for y are x ≤ y ≤ 5x + 5. Therefore, we integrate with respect to y from x to 5x + 5.

∬Dx^3y dA = ∫0^3 ∫x^(5x+5) x^3y dy dx

= ∫0^3 x^3 [∫x^(5x+5) (5x+5) y dy] dx

= ∫0^3 x^3 [(5x+5)/2 * y^2] |x^(5x+5) dx

= ∫0^3 x^(5x+8) * (5x+5)/2 dx

∬Dx^3y dA = ∫0^3 x^(5x+8) * (5x+5)/2 dx

= (1/2) * ∫0^243 u^(4/5) * (5/2) du

= (5/4) * [u^(9/5) / (9/5)] |0^243

= (5/4) * [243^(9/5) / (9/5)]

= (5/4) * (3^9 / 9)

= (5/4) * 19683

= 24603.75

Therefore, the value of the double integral ∬Dx^3y dA over the domain D indicated as 0 ≤ x ≤ 3, x ≤ y ≤ 5x + 5 is 24603.75.

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