The Patel family made a 6-pound turkey for dinner. If each person will eat 12 of a pound, how many people will it take to finish the turkey?

Answer:

A' : (5,-2)

B' : (-1,-3)

C' : (6, -2)

A':(5,-2)

B':(-1,-3)

C':(6,-2)

Step-by-step explanation:

PE = mgh

PE = (1 kg) (10 m/s²) (4 m)

PE = 40 J

To approximate the area under the graph of f(x) = 1/x^2 over the interval [2, 4] using four equal subintervals and the right endpoint method, we can use the following formula:

Approximate Area = Δx * [f(x1) + f(x2) + f(x3) + f(x4)]

where Δx is the width of each subinterval and xi represents the right endpoint of each subinterval.

In this case, the interval [2, 4] is divided into four equal subintervals, so Δx = (4 - 2) / 4 = 0.5.

Now, let's evaluate the function at the right endpoints of the subintervals:

f(2.5) = 1/(2.5)^2 = 0.16

f(3) = 1/(3)^2 = 0.1111

f(3.5) = 1/(3.5)^2 = 0.0816

f(4) = 1/(4)^2 = 0.0625

Substituting these values into the formula:

Approximate Area = 0.5 * [0.16 + 0.1111 + 0.0816 + 0.0625]

Approximate Area = 0.5 * 0.4152

Approximate Area = 0.2076

Therefore, the approximate area under the graph of f(x) = 1/x^2 over the interval [2, 4] using four equal subintervals and the right endpoint method is approximately 0.2076.

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Answer:

width of given rectangle = 6 cm

length of given rectangle =  4 cm

Step-by-step explanation:

Let the breadth be x cm

given that

The length of a rectangle is eight centimeters less than twice its width

length of rectangle in terms of x =  2(breadth ) - 8 =  2x - 8

we know perimeter of rectangle is given = 2(l + b)

thus, perimeter of given rectangle is = 2 ( x +  2x - 8) = 6x - 16

also given perimeter of the rectangle is 20 centimeters

thus,

6x - 16 = 20

6x = 20 + 16 = 36

x = 36/6 = 6

Thus,

width of given rectangle = 6 cm

length of given rectangle = 2*6 - 8 = 4 cm

Distance from Y to Z is 10.4 km and Z to X is 20 km

Distance is a numerical measurement of how far apart objects or points are.

A triangle is a polygon with three edges and three vertices.

From the given data plot the graph,

Then,

∠XYZ=∠YZX=75 degrees

Therefore XY=XZ=20 km

\(YZ^{2}=20^{2} +20^{2} -2(20)(20)cos30\)

YZ=10.4 km

Hence, Distance from Y to Z is 10.4 km and Z to X is 20 km

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Answer:

Step-by-step explanation:

Calculating the circumference of a circle based on the circle's diameter.

What kind of problems can a quantum computer solve?

10 Difficult Problems Quantum Computers can Solve Easily-

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The complete question is -

Which type of mathematical problem is too complex for a classical computer to solve efficiently?

a. converting an irregular fraction to an approximate decimal value

b. multiplying two numbers that both have a large number of digits

c. finding two prime factors that result in a specific value when multiplied

d. calculating the circumference of a circle based on the circle's diameter

The measurement that is closest to the value of x, in centimeters, is given as follows:

14.3.

In this problem, we have a right triangle, in which the legs, which are the sides between the angle of 90º, are of 11.9 cm and 7.9 cm.

Then the hypotenuse x, which is the segment connecting both legs, is obtained using the Pythagorean Theorem.

The Pythagorean Theorem states that the measure of the hypotenuse squared is equals to the sum of the squares of the measures of each side.

Then the length of x is calculated as follows:

x² = 11.9² + 7.9²

x = square root of (11.9² + 7.9²)

x = 14.28.

Closest to 14.3, rounding to the nearest tenth, meaning that the third option is correct.  

We suppose that 11.9 cm and 7.9 cm are the measures of the legs.

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The arc length of the sectors, in terms of π are:

a. 2π cm.

b. (9π/4) cm.

c. 6π cm.

d. 10π cm.

a. The arc length of a sector with radius 4 cm and angle π/2 is given by the formula:

arc length = rθ = 4(π/2) = 2π cm

Therefore, the arc length is 2π cm.

b. The arc length of a sector with radius 3 cm and angle 3π/4 is given by the formula:

arc length = rθ = 3(3π/4) = (9π/4) cm

Therefore, the arc length is (9π/4) cm.

c. The arc length of a sector with radius 10 cm and angle 3π/5 is given by the formula:

arc length = rθ = 10(3π/5) = (6π) cm

Therefore, the arc length is 6π cm.

d. The arc length of a sector with radius 12 cm and angle 5π/6 is given by the formula:

arc length = rθ = 12(5π/6) = (10π) cm

Therefore, the arc length is 10π cm.

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Function:

To know which graph represents our function, we can see that all the graphs have different y and x-intercepts. Meaning that we can calculate these parameters and see which graph is.

• Calculating y-intercept: x = 0

The y-intercept happens at (0, -3).

Based on this, we can see that Graph B is not an option. However, Graph A and C are still options. To evaluate which is the correct one we have to calculate the x-intercept.

2. Calculating the x-intercept: y = 0

Then, the x-intercept is (4, 0).

Answer: Graph A

Answer:

50

Step-by-step explanation:

to get the unit per hour, you have to divide the amout, which is 350, by the time, which is 7, and you get 50

The correct answer is: The benefits of the data should be weighed against the costs.

This is because the first step in evaluating change outcomes is to determine what data should be collected and how it will be collected.

While it is important to collect as much data as possible, it is also important to consider the costs of collecting and analyzing the data.

The data collected should be relevant to the outcomes being evaluated, and should be collected at regular intervals to track progress over time.

It is not productive to analyze change effects based on insignificant data, as this can lead to inaccurate conclusions.

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There are 252 odd numbers with the middle digit as 5 and no repeated digits between 20,000 and 69,999.

To determine the number of odd numbers with the middle digit as 5 and no repeated digits between 20,000 and 69,999, we need to consider the possible combinations for the remaining digits.

Since the middle digit is fixed as 5, we have three remaining digits to consider: the thousands digit, hundreds digit, and units digit.

Thousands Digit:

The thousands digit cannot be 0, 5 (as it is the middle digit), or 6 (to stay within the given range). So, we have 7 possible options: 2, 3, 4, 7, 8, and 9.

Hundreds Digit:

The hundreds digit can be any digit from 0 to 9, excluding the already used digits in the thousands and middle positions. So, we have 9 possible options.

Units Digit:

The units digit must be an odd number, excluding 5 (as it is the middle digit) and any digit already used in the thousands and hundreds positions. So, we have 4 possible options: 1, 3, 7, and 9.

By multiplying the number of options for each digit, we obtain the total number of odd numbers meeting the given conditions:

7 (thousands) * 9 (hundreds) * 4 (units) = 252

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Answer:

100%

Step-by-step explanation:

The formula to calculate the return on investment is:

ROI=(Net Profit/Total Investment)*100

Net profit=Revenues-expenses=500-(500*0.6)=500-300=200

Total investment=250-(250*0.2)=250-50=200

Now, you can replace the values:

ROI= (200/200)*100

ROI= 100%

According to this, the answer is that If Angelo Company can reduce its capital investment by 20% in Adams Company, return on investment will be 100%.

The hotel should overbook enough rooms to maximize revenue without incurring expensive costs due to last-minute cancellations. To determine the optimal number of rooms to overbook, consider the following:

1. The average number of cancellations is 5 with a standard deviation of 3.
2. The average room rate is $80.
3. The cost of accommodating overbooked customers in a nearby hotel is $200.

Using these figures, the hotel can calculate the expected revenue for each room overbooked, while considering the risk of cancellations. The best approach is to use a probabilistic model, such as the normal distribution, to estimate the optimal number of rooms to overbook based on these statistics.

A detailed analysis would require further calculations and simulations, which are beyond the scope of this answer. However, a basic guideline for the hotel would be to overbook only a few rooms (e.g., 1-3) to minimize the risk of incurring the high cost of accommodating customers in nearby hotels while still maximizing the revenue from potential cancellations.

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Answer:

(f - g)(x) = 2x + 7

Step-by-step explanation:

(f - g)(x)

= f(x) - g(x)

= 3x + 5 - (x - 2) ← distribute parenthesis by - 1

= 3x + 5 - x + 2 ← collect like terms

= 2x + 7

Answer:

a = c = 85° and b = 95°

Step-by-step explanation:

b and 95° are vertically opposite angles and are congruent, then

b = 95°

a and 95° are adjacent angles on a straight line and sum to 180° , then

a + 95° = 180° ( subtract 95° from both sides )

a = 85°

a and c are vertically opposite and congruent , then

c = 85°

Answer:

the answer is -8 = p

Step-by-step explanation:

you stated that the difference of the two is -14, making it p - 6 = -14.

-8 - 6 = -14

Answer:

p= -8 or p= 20

Step-by-step explanation:

Given:

The given function is:

\(f(x)=-(x-2)^2+9\)

To find:

The transformations, intercepts and the vertex.

Solution:

The vertex form of a parabola is:

\(y=a(x-h)^2+k\)         ...(i)

Where, a is a constant and (h,k) is vertex.

If a<0, then the graph of parent quadratic function \(y=x^2\) reflect across the x-axis.

If h<0, then the graph of parent function shifts h units left and if h>0, then the graph of parent function shifts h units right.

If k<0, then the graph of parent function shifts k units down and if k>0, then the graph of parent function shifts k units up.

We have,

\(f(x)=-(x-2)^2+9\)          ...(ii)

On comparing (i) and (ii), we get

\(a=-1,h=2,k=9\)

So, the graph of the parent function reflected across the x-axis, and shifts 2 units right and 9 units up.

Putting x=0 in (ii), we get

\(f(0)=-(0-2)^2+9\)

\(f(0)=-4+9\)

\(f(0)=5\)

The y-intercept is 5.

Putting f(x)=0 in (ii), we get

\(0=-(x-2)^2+9\)

\((x-2)^2=9\)

Taking square root on both sides, we get

\((x-2)=\pm \sqrt{9}\)

\(x=\pm 3+2\)

\(x=3+2\text{ and }x=-3+2\)

\(x=5\text{ and }x=-1\)

Therefore, the x-intercepts are -1 and 5.

The values of h and k are 2 and 9 respectively and (h,k) is the vertex of the parabola.

Therefore, the vertex of the parabola is (2,9).

Answer:

Yes, that's an angle bisector.

You are correct in saying that this is a bisector.

The graph of the given piecewise function is plotted at the end of the answer.

A piecewise function is a function that has different definitions, depending on the input.

From the definition in the problem, we have that:

Considering these three definitions, the graph is given at the end of the answer, with the legend of the closed interval given in the text.

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There are two types of classifications for triangles, Classification according to internal angles and Classification according to the length of its sides.

A geometrical shape with three vertices, angles and sides, whose sum of internal angles is 180° is considered as a triangle.

Classification of triangles :-

There are two ways to classify triangles,

1) Based on the Angle :-

a) Acute Angled Triangle :- A triangle that has all three angles less than 90° is an acute angle triangle.

b) Right-Angled Triangle :- A triangle that has one angle that measures exactly 90° is a right-angle triangle.

c) Oblique Angled Triangle :- A triangle that has one angle that measures more than 90° is an obtuse angle triangle.

2) Based on the Sides :-

a) Scalene Angled Triangle :- A triangle that has all three sides of different lengths is a scalene triangle.

b) Isosceles Angled Triangle :- A triangle that has two sides of the same length and the third side of a different length is an isosceles triangle.

c) Equilateral Angled triangle :- A triangle that has all three sides of the same length is an equilateral triangle.

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The adult weight of the puppy calculated using percentage is 45 pounds .

In mathematics, a value or ratio that can be expressed as a simple fraction of 100 is known as a percentage.

When determining a percentage of a number, we should first divide it by 100 before multiplying the result by 100.

As a result, the proportion refers to a component per 100. The word percent denotes a percentage of 100.

It is represented by the symbol "%." Percentages can also be written as decimals or fractions, like in 0.6%, 0.25%, etc.

Academic grades are calculated using percentages for every subject. Ram, for example, received a 78% on his qualifying exam.

The weight of the puppy is 9 pounds.

This is 20% of the adult weight.

Let the adult weight be x.

therefore 20% of x = 9

Calculating we get  x = 45 pounds

Hence the adult weight of the puppy is 45 pounds.

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Answer:

24 years

Step-by-step explanation:

James Age = 9 years

Rose's Age = 15 years

Sum of their Ages = 9+15

Sum of their Ages = 24 years

Perform a two-sample z-test for proportions to test if the proportion of college-age Massachusetts residents who support the legalization of recreational marijuana exceeds the proportion of college-age Rhode Island residents who support the legalization of recreational marijuana.

We are comparing two independent proportions, so we need to perform a two-sample z-test for proportions.

Let p1 be the proportion of college-age Rhode Island residents who support the legalization of recreational marijuana, and p2 be the proportion of college-age Massachusetts residents who support the legalization of recreational marijuana.

The null hypothesis is that the proportion of college-age Massachusetts residents who support the legalization is less than or equal to the proportion of college-age Rhode Island residents who support the legalization:

H0: p2 <= p1

The alternative hypothesis is that the proportion of college-age Massachusetts residents who support the legalization is greater than the proportion of college-age Rhode Island residents who support the legalization:

Ha: p2 > p1

We can use the pooled proportion to estimate the common proportion for both groups:

p = (x1 + x2) / (n1 + n2)

where x1 and x2 are the number of supporters in each group, and n1 and n2 are the sample sizes.

The test statistic is calculated as:

z = (p2 - p1) / sqrt(p*(1-p)*(1/n1 + 1/n2))

Under the null hypothesis, the test statistic follows a standard normal distribution.

Using the given values, we have:

p1 = 183/300 = 0.61

n1 = 300

p2 = 238/350 = 0.68

n2 = 350

p = (183 + 238) / (300 + 350) = 0.644

Plugging in these values, we get:

z = (0.68 - 0.61) / sqrt(0.644*(1-0.644)*(1/300 + 1/350)) = 2.33

Using a standard normal distribution table, the p-value is approximately 0.01.

Since the p-value is less than the significance level of 0.05, we reject the null hypothesis and conclude that the proportion of college-age Massachusetts residents who support the legalization of recreational marijuana is significantly greater than the proportion of college-age Rhode Island residents who support the legalization.

Therefore, we have evidence to suggest that the legalization of recreational marijuana is more supported among college-age Massachusetts residents compared to college-age Rhode Island residents.

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Answer: Y= 1x + 0

Y=mx+b

Scaling transformation onto the x co ordinate by a factor of 5.

A co-ordinate system represents two points one for x axis and another for y axis in a ordered pair (x,y)

According the given question Point (w, z) is transformed by the rule (w5, z).

Here w represents x co-ordinate points and z represents y co-ordinate points.

We can observe that the x co-ordinate point have been scaled by a factor of 5.We can think of that after this transformation the line has become less steeper from origin.

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Answer:

6a + 2

Step-by-step explanation:

a + 3a - 1 + 2a + 3

6a - 1 + 3

6a + 2

Answer:

c

Step-by-step explanation:

hi yeeeeeeeeeeeeeeeeeettttttttttttt

Answer:

C

Step-by-step explanation:

A= l x w

A = 27 x 27 = 729

A = 28 x 28 = 784

so C is the answer

hope this helps if it is wrong i apologize

Each person in the United States uses an average of 18 metric tons of mineral resources each year.

Step by step explanation:According to the USGS, each person in the United States uses an average of 18 metric tons of mineral resources each year. It has been stated that many of the minerals we use in our daily lives are found in things we use every day, such as electronic devices, personal care products, and vehicles.

Mineral resources are utilized in many aspects of our lives, including construction, transportation, energy production, and electronics. As a result, minerals are an essential component of the modern economy.

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