En tu cuaderno realiza la conversión de los siguientes decimales a fracciones.
a) 0.250 :
​

Answer:

Tom's height = x = 64 inches

Sally's height = y = 60 inches

Step-by-step explanation:

Let us represent

Tom's height = x

Sally's height = y

Tom is 4 inches taller than Sally

x = y + 4

Together their heights equal 124 inches

x + y = 124

We substitute y + 4 for x

y + 4 + y = 124

2y + 4 = 124

Collect like terms

2y = 124 - 4

2y = 120

y = 120/2

y = 60

Solving for x

x = y + 4

x = 60 + 4

x = 64

Therefore,

Tom's height = x = 64 inches

Sally's height = y = 60 inches

Assuming a roughly even distribution of birthdays throughout the year, we can estimate that approximately 1/365th of students (or 0.27%) were born on January 1st.

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Answer:

10

Step-by-step explanation:

Hello,

(h.g)(1)=h(1)*g(1)

h(1)=1+4=5

g(1)=2

so h(1)*g(1)=5*2=10

the correct answer is 10

Answer:

10

Step-by-step explanation:

g(x) = 2x

h(x) = x^2 + 4

(h*g)(1)

h(1) = 1^2 +4 = 1+4 = 5

g(1) = 2*2 =2

(h*g)(1) = 5*2 = 10

Answer:

$36.00 markup

Step-by-step explanation:

$72 x 50% (0.50) = $36.00

The measure of angle ZCOD is 27°.

Since A, O, and B are collinear, angles AOC and COB form a linear pair, which means their sum is 180°. Therefore:

x + 50° = 180°

Solving for x, we get:

x = 130°

Next, we can use the fact that angles AOC and BOA are vertical angles, which means they are congruent. Therefore:

x = 103°

Substituting x with 130°, we get:

130° = 103° + COD

Solving for COD, we get:

COD = 27°

Finally, since angles AOD and COB are alternate interior angles, they are congruent. Therefore:

77° = 50° + ZCOD

Solving for ZCOD, we get:

ZCOD = 27°

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--The complete question is, Given that points A, O, and B are collinear, find the measure of angle ZCOD, where:

Angle AOC is denoted by x and measures 90°

Angle BOA measures 103°

Angle AOD measures 77°

Angle COB measures 50°.

Please note that point O is located between points A and B.--

Macy had 3 appointments.

Logan had 5 appointments.

What is the quadratic equation?

A quadratic equation is a type of polynomial equation of degree 2, which is written in the form of "ax^2 + bx + c = 0", where x is the variable and a, b, and c are constants. The solutions to a quadratic equation can be found using the quadratic formula: x = (-b ± √(b^2 - 4ac))/2a.

Part A:

Let x be the number of appointments Macy had.

We know that the total income (60x + 40) must equal 220.

Therefore, the equation representing the situation is:

60x + 40 = 220

To solve for x, we can subtract 40 from both sides:

60x = 180

Finally, we divide both sides by 60 to get:

x = 3

Macy had 3 appointments.

Part B:

Let y be the number of appointments Logan had.

We know that the total profit (70y + 50 - 20y) must equal 300.

Therefore, the equation representing the situation is:

50y + 50 = 300

To solve for y, we can subtract 50 from both sides:

50y = 250

Finally, we divide both sides by 50 to get:

y = 5

Logan had 5 appointments.

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Answer:

They are all acute triangles or iscoles triangles

Step-by-step explanation:

The table has a greater rate of change.

The rates of change are equal.

In the given problem, we have a table showing the relationship between x and y values. By comparing the change in y with the change in x, we can determine the rate of change. Looking at the table, we observe that for every increase of 1 in x, there is a corresponding increase of 1 in y. Therefore, the rate of change for this table is 1.

The slopes are equal.

The equation has a greater slope.

In problem 2, we are given a linear equation in the form y = mx + b, where m represents the slope. The given equation is y = 2x + 7, which means the slope is 2. To compare the rates of change, we compare the slopes. If the slopes are equal, the rates of change are equal. In this case, the slopes are equal to 2, so the rates of change are the same.

The function rule has a greater slope.

The slopes are equal.

In problem 3, we are told that as x increases by 1, y increases by 3. This information gives us the rate of change between x and y. The slope of a function represents the rate of change, and in this case, the slope is 3. Comparing the slopes, we find that they are equal, as both have a value of 3. Therefore, the rates of change are the same.

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Different equations can result in identical graphs. For example, −=0

y−x=0

and (−)(2+2)=0

(y−x)(x2+y2)=0

both have the same graph on the real xy-plane, a diagonal line through the origin. The first equation is a linear equation while the second is a cubic equation.

Step-by-step explanation:

To compare two equations or to find the solution of two equation we represent two different equations on the same graph.

We need to explain why it is possible that one graph could represent two different equations.

Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.

On the same graph we can represent two different equations, to compare two equations or to find the solution of two equation.

Therefore, to compare two equations or to find the solution of two equation we represent two different equations on the same graph.

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The probability that a randomly selected x-value from the distribution is in the given interval is 68.27%.

The area under the normal curve is calculated using the cumulative normal distribution.

Step 1: Calculate z-score for lower boundary (25):

z = (25-28)/3

= -1

Step 2: Calculate z-score for upper boundary (31):

z = (31-28)/3

= 1

Step 3: Calculate the area under the normal curve between the two z-scores using the cumulative normal distribution:

Area = 0.6827

Step 4: Calculate the probability that a randomly selected x-value from the distribution is in the given interval:

Probability = Area

= 0.6827

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The median household income for two-earner households in each state was analyzed using the provided data. A frequency and percent frequency distribution were constructed with a class width of 5, starting from 65.0. A histogram was generated in Minitab to visualize the distribution. The shape of the distribution indicates that the majority of states have median incomes clustered around the middle range. The state with the highest median income for two-earner households is New Jersey (110.7), while Mississippi (70.4) has the lowest median income.

To construct a frequency distribution, we group the data into intervals or classes. Given a class width of 5 and starting at 65.0, we can determine the class boundaries and count the number of values falling within each class. The resulting frequency distribution would show the number of states within each income range. Additionally, the percent frequency distribution would represent the proportion of states in each income range.

Based on the histogram generated in Minitab using the frequency distribution, we can observe the shape of the distribution. With the class intervals and frequencies plotted, the histogram helps visualize the distribution pattern. In this case, since the provided data represents the median household income for two-earner households in each state, the shape of the distribution can provide insights into the overall income distribution among states.

From the provided data, we can determine that New Jersey has the highest median income for two-earner households with a value of 110.7 (in thousands), indicating a relatively higher income level. On the other hand, Mississippi has the lowest median income at 70.4 (in thousands), reflecting a lower income level. This information highlights the variation in median household incomes for two-earner households across different states.

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If the length of a rectangle is 3 more than twice the width and the perimeter is 36 inches, then the area of the rectangle is equal to 65 in².

The length and width of the rectangle can be determined by using the formula for the perimeter of the rectangle,

P = ( L + W ) × 2

P = 2L + 2W

Here L is equal to the length of the rectangle and W is the width of the rectangle.

As the length is 3 more than twice the width, we can write the length of the rectangle as,

L = 3 + 2W

Putting L = 3 + 2W in the equation of perimeter,

P = 2L + 2W

As P = 36

36 = 2( 3 + 2W) + 2W

36 = 6 + 4W + 2W

6W = 30

W = 30 ÷ 6

W = 5

The length of the rectangle can be found by putting W = 5 in the equation,

L = 3 + 2W

L = 3 + 2(5)

L= 3 + 10

L = 13

Therefore, the length and width of the rectangle are equal to 13 and 5 respectively

As, area = width × length

area = 5 × 13

area = 65

Hence, the area of the rectangle is equal to 65 square inches.

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Answer:

25 copies rented

Step-by-step explanation:

r = r1 - 5t, t is time in weeks, r is the number of copies rented, r1 how many people were renting at the start

we know on the 6 weeks passed and 4 copies were rented

4 = r1 - 5(6)

4 = r1 - 30; add 30 on both sides

34 = r1

r = 34 - 5t now plug t = 2 in for this function

r = 34 - 5(2)

r = 35 - 10

r = 25 copies rented

a). If the only solution is A = B = C = D = 0, then the polynomials are linearly independent and form a basis.

b). We can solve this system of equations to find the values of A, B, C, and D that give the desired polynomial.

To check if the given polynomials form a basis for the vector space of polynomials with degree at most 3,

we need to determine if they are linearly independent and span the entire vector space.

(a) To check for linear independence, we set up the equation:

A(2−lx) + B(1+fx²) + C(lx+mx³) + D(1−x+2x²) = 0

where A, B, C, and D are constants.

Equating the coefficients of like powers of x, we get:

2A + D = 0          (for the constant term)
-Al + Cl + D = 0   (for x term)
B + 2D = 0          (for x² term)
Cm + 2B = 0         (for x³ term)

We can solve this system of equations to find the values of A, B, C, and D that make the equation true. If the only solution is A = B = C = D = 0, then the polynomials are linearly independent and form a basis.

(b) To express the components of the polynomial 3−2x²+5x³ with respect to the given basis, we need to find the constants A, B, C, and D such that:

A(2−lx) + B(1+fx²) + C(lx+mx³) + D(1−x+2x²) = 3−2x²+5x³

We can equate the coefficients of like powers of x to get a system of equations:

2A + D = 0          (for the constant term)
-Al + Cl + D = 0   (for x term)
B + 2D = -2         (for x² term)
Cm + 2B = 5         (for x³ term)

We can solve this system of equations to find the values of A, B, C, and D that give the desired polynomial.

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Answer:

60 ft

Step-by-step explanation:

a² + b² = c²

20² + 15² = c²

c = √625

c = 25

total distance = 20 ft + 15 ft + 25 ft = 60 ft

Answer:

A:1/18 B:1/6 for 4 and 1/3 for red

Step-by-step explanation:

An unnormalized relation refers to a table in a relational database that contains more than one row. This means that there are duplicate rows in the table, which violates the rules of normalization.

Normalization is a process in database design that aims to eliminate data redundancy and ensure data integrity. It involves breaking down a database into multiple tables and defining relationships between them. By doing so, we can efficiently store and retrieve data while minimizing inconsistencies.

In an unnormalized relation, duplicate rows can lead to various problems. For example, it can result in data inconsistencies, as updating one instance of a row may not reflect changes in other duplicate rows. Additionally, it can cause unnecessary storage and maintenance overhead.

To normalize an unnormalized relation, we need to identify the functional dependencies in the table and create separate tables for related data. This helps organize the data and reduces redundancy.

In summary, an unnormalized relation is a table in a relational database that has duplicate rows. It is important to normalize such relations to ensure data integrity and efficiency.

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Answer:

Kenjii can use 13.19 kilowatt-hour.

Step-by-step explanation:

Giving the following information:

Kenji's electricity bill costs $21.56 per month plus $2.46 per kilowatt-hour.

First, we will structure the total cost formula:

Total cost= 21.56 + 2.46*x

x= kilowatt-hour

54= 21.56 + 2.46x

32.44= 2.46x

13.19= x

Kenjii can use 13.19 kilowatt-hour.

OH SO LIKE CHESTER WAS A REALLY BAD PERSON.

The solutions of the logarithmic equation above are m = 0 and m = 7 + 2¹⁰/7.

To solve the logarithmic equation Log4(2m^3-14m^2)-log4(2m)=log4⁸, we can use the properties of logarithms.

First, we can combine the two logarithms on the left side using the quotient rule, which states that log(a/b) = log(a) - log(b).

This gives us log4((2m³-14m²)/2m) = log4⁸.

Simplifying the fraction inside the logarithm, we get log4(m²-7m) = 8.

Using the definition of logarithms, we can rewrite this equation as 4⁸ = m² - 7m.

Rearranging and factoring, we get m(m-7) = 4⁸.

Thus, the solutions are m = 0 and m = 7 + 2¹⁰/7.

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To calculate depletion expense, you need to determine the depletion per unit. The depletion per unit can be calculated by taking (cost of the resource) / total units of capacity.

Depletion is an accounting method used to allocate the cost of natural resources over their useful life. It is commonly used in industries such as mining, oil and gas extraction, and timber harvesting, where companies extract and deplete natural resources as part of their operations.

The first step in calculating depletion expense is to determine the cost of the resource. This includes all costs incurred to acquire and develop the resource, such as exploration costs, development costs, and acquisition costs. These costs are typically capitalized and then allocated over the estimated recoverable units of the resource.

Once you have determined the cost of the resource, you need to calculate the total units of capacity. This refers to the estimated amount of resource that can be extracted or harvested from the reserve. For example, in mining, it could be measured in tons of ore, while in oil and gas extraction, it could be measured in barrels or cubic feet.

To calculate the depletion per unit, divide the cost of the resource by the total units of capacity. This will give you the amount of depletion expense that should be recognized for each unit extracted or harvested.

It's important to note that there are different methods for calculating depletion expense, such as units-of-production method and percentage depletion method. The units-of-production method calculates depletion based on actual production or extraction during a given period. On the other hand, the percentage depletion method allows for a fixed percentage deduction from gross income based on statutory rates.

In conclusion, to calculate depletion expense, you need to determine the depletion per unit by dividing the cost of the resource by the total units of capacity. This allows for an appropriate allocation of costs over the useful life of natural resources.

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Problem 2

According to the Empirical Rule, roughly 95% of the normal distribution is within 2 standard deviations of the mean.

So the value 108 is 2 standard deviations above the mean, while 76 is 2 standard deviations below the mean.

The distance between those values is 108-76 = 32 units. Divide by 4 to get 32/4 = 8 to indicate the standard deviation itself. I'm dividing by 4 because we add the "2 standard deviations" to itself twice which is a total of 4 standard deviations in distance.

You could also solve like this

z = (x-mu)/sigma

2 = (108-92)/sigma

2 = 16/sigma

2sigma = 16

sigma = 16/2

sigma = 8

There's a similar set of steps if you were to use z = -2 and x = 76, which should lead to sigma = 8 as well.

===========================================================

Problem 3

The center of the distribution is at point c, and that's 170, since that's given to us. The center is always the mean.

The standard deviation is 7. Each tickmark on that horizontal number line shown represents a full standard deviation (aka 7 cm). This means going from c to d will lead to

d = c + sigma = 170+7 = 177

and

e = d + sigma = 177+7 = 184

or you could say

e = c+2*sigma = 170+2*7 = 184

To determine the other values, we go backwards by subtracting off multiples of sigma.

a = c - 3*sigma = 170 - 3*7 = 170 - 21 = 149

b = c - 1*sigma = 170 - 1*7 = 170 - 7 = 163

Check the picture below.

so hmmm let's find the distance AC, which is the only one missing for the perimeter.

\(\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2 + b^2} \qquad \begin{cases} c=\stackrel{hypotenuse}{AC}\\ a=\stackrel{adjacent}{6}\\ b=\stackrel{opposite}{8}\\ \end{cases} \implies AC=\sqrt{6^2 + 8^2} \\\\\\ AC=\sqrt{100}\implies AC=10~\hfill \underset{Perimeter}{\stackrel{6~~ + ~~8~~ + ~~10}{\text{\LARGE 24}cm}} \\\\[-0.35em] ~\dotfill\)

\(\textit{area of a triangle}\\\\ A=\cfrac{1}{2}bh \begin{cases} b=base\\ h=height\\[-0.5em] \hrulefill\\ b=6\\ h=8 \end{cases}\implies A=\cfrac{1}{2}(6)(8)\implies A=\text{\LARGE 24}~cm^2\)

 - x =< y is the expression and acceptable syntax.

A mathematical expression is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) It is possible to compare expressions and phrases.

A term may be a number, a variable, a product of two or more variables, or a combination of both. A single phrase or a set of terms can make up an algebraic expression. The two terms in the formula 4x + y, for instance, are 4x and y.

Algebra's associative, commutative, and distributive characteristics are the ones that are most frequently utilized to make algebraic expressions simpler.

The converse of the expression and having proper syntax is

   = x >= y.

   = -x <= y

    =- x =< y

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1) Considering this data set, we need to rewrite them orderly:

4,7,8,10, 11, 14, 16, 19

2) Note that there are 8 data points. So the Median can be found this way:

The answer is 75.36 m

Please see the attached picture for full solution

Hope it helps

Answer:

\(75.36m\)

Step-by-step explanation:

\(c = 2\pi \: r \\ = 2 \times 3.14 \times 12 \\ = 75.36m\)

hope this helps

brainliest appreciated

good luck! have a nice day!

The required work done in pumping the given well completely dry is 326,560 lb-feet

The work done is calculated as follows:

Here, F(x) is the external force and a to b is the displacement.

The pressure exerted by the liquid on the object in the depth is

Here, w is the weight of the liquid per unit volume and h is the depth.

And, the force of liquid is given as follows

F=PA

Here, P is the pressure and A is the area of the object

Consider the well with 8-inch diameter, 175 feet deep and water is 25 feet below the top.

In a situation, the diameter of water well is 8 inch.

And the depth of the well is 175feet.

The water is 25 feet from the top of the well.

To evaluate the work done in pumping it out dry

The level of water from top is h=x

And, area of the well is A

\($$\begin{aligned}A & =\pi\left(\frac{4}{12}\right)^2 \\& =\frac{16 \pi}{144}\end{aligned}$$\)

Since, the constant weight of water is 62.4 pounds per unit cubic foot

Thus the work done is

\($$\begin{aligned}W & =\int_a^b F(x) d x \\& =62.4 \int_{25}^{175} \frac{16 \pi}{144} x d x \text { since } \int x^n d x=\frac{x^{n+1}}{n+1} \\& =21.77\left[\frac{x^2}{2}\right]_{25}^{175} \\& =326560\end{aligned}$$\)

Hence, the required work done in pumping the given well completely dry is 326,560 lb-feet.

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