Circle O shown below has a radius of 21 inches. To the nearest tenth of an inch, determine the length of the arc, x, subtended by an angle of 1.7 radians.

The width of the new road x = 1/3 yards.

Since the road is a parabola with H = -(12x - 2)² + 4 represents the height of the road over the swamp. The width of the new road is gotten when H = 0.

So, H = -(12x - 2)² + 4

0 = -(12x - 2)² + 4

-(12x - 2)² + 4 = 0

Expanding the bracket, we have

-(144x² - 48x + 4) + 4 = 0

-144x² + 48x - 4 + 4 = 0

-144x² + 48x + 0 = 0

-144x² + 48x = 0

144x² - 48x = 0

Factorizing, we have

48x(3x - 1) = 0

48x = 0 or 3x - 1 = 0

x = 0 or 3x = 1

x = 0 or x = 1/3

So, the width of the new road x = 1/3 yards.

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Answer:

x = 29.5

y = 48.16

z = 34.05

Step-by-step explanation:

Sorry if the explanation is messy

answer

x=29.44

y=48.08

z=68

Step-by-step explanation:

opp/adj = tan(30)

17/x = tan(30)

x = 29.44

hyp^2 = x^2+y^2

hyp^2 = (29.44)^2 + (17)^2

hyp^2 = 867 + 289

hyp = 34

opp/hyp = Sin(45)

34/y = Sin(45)

y = 48.08

adj/hyp = Cos(45)

z/(48.08) = Cos(45)

z = 68

The volume of a sphere with radius 10 units was found to be approximately 42 cubic units.

The volume of a sphere can be calculated using the formula:

V = (4/3) * π * r^3

Where, r is the radius of the sphere. In this case, the radius is 10 units, so we can plug in the values and calculate the volume:

V = (4/3) * π * 10^3 = 4184 cubic units

So, the approximate volume of the sphere with a radius of 10 units is 4184 cubic units.

Rounding off to the nearest whole cubic unit, 4184 cubic units becomes 42 cubic units.

Volume of a sphere is the amount of space inside a sphere.

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Michael is now (B) 6 years old.

Let's start by defining variables for the current ages of Norman and Michael.

Let N be Norman's current age, and M be Michael's current age.

From the problem statement, we know that N = M + 12 (Norman is 12 years older than Michael).

We also know that in 6 years, Norman will be twice as old as Michael.

So we can set up the following equation:

N + 6 = 2(M + 6)

Substituting N = M + 12 into the equation, we get:

M + 12 + 6 = 2(M + 6)

Simplifying:

M + 18 = 2M + 12

M = 6

Therefore, Michael is currently 6 years old.

Answer: (B) 6

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The integer for vector 1 {2,6,-7}, integer for vector 2 is 10,8,-14}, integer for vector 3 is {4,12,-14}, integer for vector 4 is {14,-2,-7} and integer for vector 5 is {22,0,-14}. (all these vectors are in span {V1 and V2})

List five vectors in Span {v_1, v_2}?

1) V1+v2={8,2,-7 }+{-6,4,0 }

={2,6,-7}

2) 2v1+v2={16,4,-14}+{-6,4,0}

={10,8,-14}

3)2v1+2v2={16,4,-14}+{-12,8,0}

={4,12,-14}

4)V1-v2={8,2,-7}-{-6,4,0}

={14,-2,-7}

5)2v1-v2={16,4,-14}-{-6,4,0}

={22,0,-14}

All of these vectors are contained within the span.

{v1,v2}={av1+bv2:ab∈r}

A matrix is a rectangular variety of ordered numbers (real or complex) or functions .Assume we want to express the following information about   Ram and his two friends Rohan and Yash's possession of pens and pencils:
Ram       has      20     pens       and       7       pencils,

Rohan    has      15     pens       and       5       pencils,

Yash       has      12     pens       and       3       pencils

Now, this could be arranged in tabular form as follows,
⎢20  7⎢
⎢15   5⎢                            
⎢12   3⎢        

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The general solution of the given second-order differential equation 3y" + y = 0 is y(x) = A*cos(sqrt(3)*x) + B*sin(sqrt(3)*x), where A and B are arbitrary constants.

To find the general solution, we assume the solution to be in the form y(x) = e^(rx). Substituting this into the differential equation, we obtain the characteristic equation: 3r^2 + 1 = 0. Solving this quadratic equation for r, we get two complex roots: r = ±i/√3.

Using Euler's formula, we can express these complex roots as r = ±(1/√3)*e^(iπ/6). Since complex roots always occur in conjugate pairs, the general solution can be written as y(x) = A*e^(x/√3)*cos(x/√3) + B*e^(x/√3)*sin(x/√3), where A and B are arbitrary constants.

By simplifying the exponential terms, we get y(x) = A*cos(sqrt(3)*x) + B*sin(sqrt(3)*x), which is the general solution of the given second-order differential equation.

In conclusion, the general solution of the given second-order differential equation 3y" + y = 0 is y(x) = A*cos(sqrt(3)*x) + B*sin(sqrt(3)*x), where A and B are arbitrary constants. This solution represents a linear combination of cosine and sine functions with a frequency of sqrt(3) and is valid for all values of x.

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Answer:

Y=-3/4X+4

Step-by-step explanation:

Bottom to top, if the line is going to the right, it is positive, but if it goes left; negative. look at the Y axis, and where the line crosses is b.

The deadweight loss caused by a subsidy is the amount of economic welfare that is lost because of the subsidy. In this example, the deadweight loss caused by the subsidy is $800. Therefore, correct option will be D.$800.

This occurs because the subsidy distorts the market by creating a price below the market equilibrium. This results in an inefficient distribution of resources as some consumers are willing to pay a higher price than the subsidized price.

Additionally, it creates an excess demand for the good, resulting in an over-allocation of resources. In this case, the deadweight loss is the difference between the market price and the subsidized price, which is $800. The deadweight loss is a negative externality of subsidies, as it reduces the overall efficiency of the market.

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Answer:

3/5*14.8=8.88

Step-by-step explanation:

3/5=0.6. 0.6*14.8 = 8.88

If m² + n² + a² + b² = 221 is fulfilled, then the value of m + n + a + b is unknown.

There is no direct formula to find the value of m + n + a + b, so we cannot determine it directly from the given information. However, we know that the sum of squares of four numbers will be minimized when they are all equal to each other.

Therefore, we can assume that m = n = a = b and find the value of m + n + a + b as follows: 4m² = 221m² = 55.25m = 7.43. Therefore, m + n + a + b = 7.43 + 7.43 + 7.43 + 7.43 = 29.72 (rounded off to two decimal places). So, the value of m + n + a + b is approximately 29.72 when m² + n² + a² + b² = 221 is fulfilled.

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Answer:

d is correct

Step-by-step explanation:

\(.25p = 10\)

\(p = 40\)

So d is correct.

Answer:

23°

Step-by-step explanation:

Incenter: cross of the bisector of interior angles of triangle

m∠GFD = 1/2 m∠EFD = 1/2 x 46° = 23°

Samantha can spend approximately $45,090 each year from the endowment to ensure the funds last forever, assuming a return rate of 9%.

To determine how much can be spent each year while ensuring the funds last forever, we can use the concept of a perpetuity. A perpetuity is a series of equal payments that continues indefinitely.

The amount that can be spent each year from an endowment can be calculated using the following formula:

Annual Spending = Endowment Amount * Return Rate

In this case, Samantha has decided to donate $501,000 to the university, and the endowment is expected to earn a return of 9%.

Annual Spending = $501,000 * 0.09

Annual Spending = $45,090

Therefore, Samantha can spend approximately $45,090 each year from the endowment to ensure the funds last forever, assuming a return rate of 9%.

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The correct statement is Most of the songs were between 3 minutes and 3.8 minutes long.

Based on the given information from the graph, we can determine the following:

The graph shows an upward trend from 2.8 to 3.4 on the horizontal axis.

Then, there is a downward trend from 3.4 to 4 on the horizontal axis.

From this, we can conclude that most of the songs played during the one-hour interval were between 3 minutes and 3.8 minutes long. This is because the upward trend indicates an increase in length from 2.8 to 3.4, and the subsequent downward trend suggests a decrease in length from 3.4 to 4.

Therefore, the correct statement is:

Most of the songs were between 3 minutes and 3.8 minutes long.

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Answer:

A

Step-by-step explanation:

Answer:

hablas español?? Si o no ?

Answer:

$23.99

Step-by-step explanation:

Answer:

Point form: (9,-5)

Step-by-step explanation:

y=-2/3x+1 and x+y=4

Point form: (9,-5)

Equation form: x = 9, y = -5

Answer:

Solutions

Step-by-step explanation:

El ángulo de 45 grados es uno de los ángulos notables en trigonometría. La razón trigonométrica más comúnmente asociada con este ángulo es:

- La razón trigonométrica del seno: sin(45°) = 1/√2 ≈ 0.7071

- La razón trigonométrica del coseno: cos(45°) = 1/√2 ≈ 0.7071

- La razón trigonométrica de la tangente: tan(45°) = sin(45°)/cos(45°) = 1

Recuerda que estas razones trigonométricas se obtienen a partir de la relación entre los lados de un triángulo rectángulo y se utilizan para calcular longitudes, ángulos y relaciones en problemas trigonométricos.

Answer: 13:40

Step-by-step explanation:

Answer:

13:40

Step-by-step explanation:

pm is after the first 12 hours of the day

and so 1 pm you just add one

12+1=13

at the 40 minutes

13:40

There are 40 balloons in the package that are either red or blue.

We have,

The probability of choosing a red or blue balloon can be found by adding the probabilities of choosing a red balloon and a blue balloon:

So,

P(red or blue)

= P(red) + P(blue)

= 0.15 + 0.25

= 0.4

This means that 40% of the balloons in the package are either red or blue.

To find how many balloons are either red or blue, we can multiply the total number of balloons by the probability:

= 0.4 x 100

= 40

Thus,

There are 40 balloons in the package that are either red or blue.

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1. is a central angle, therefore, the arc will have the same measurement as the angle. Set the equation:

Arc = Central Angle

2x - 7 = 47

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, add 7 to both sides of the equation:

2x - 7 (+7) = 47 (+7)

2x = 47 + 7

2x = 54

Next, divide 2 from both sides of the equation:

(2x)/2 = (54)/2

x = 54/2 = 27

27 is your answer.

2. is a inscribed angle, meaning that the angle measurement will be half of the arc. Set the equation:

212 = 2(13x - 24)

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, divide 2 from both sides of the equation:

(212)/2 = (2(13x - 24))/2

106 = 13x - 24

Next, add 24 to both sides of the equation:

106 (+24) = 13x - 24 (+24)

106 + 24 = 13x

130 = 13x

Finally, divide 13 from both sides of the equation:

(130)/13 = (13x)/13

x = 130/13

x = 10

10 is your answer.

3. is a central angle. The arc and the angle will, therefore, have the same measurement:

137 = 3x + 5

First, subtract 5 from both sides of the equation:

137 (-5) = 3x + 5 (-5)

137 - 5 = 3x

132 = 3x

Next, divide 3 from both sides of the equation to isolate the variable, x:

(132)/3 = (3x)/3

x = 132/3 = 44

44 is your answer.

4. is a inscribed angle. The arc will be twice the measurement of the angle.

86 = 2(2x + 3)

First, isolate the variable x by dividing 2 from both sides of the equation.

(86)/2 = (2(2x + 3)/2

43 = 2x + 3

Next, subtract 3 from both sides of the equation:

43 (-3)  = 2x + 3 (-3)

40 = 2x

Finally, divide 2 from both sides of the equation:

(40)/2 = (2x)/2

x = 40/2 = 20

20 is your answer.

~

Answer:

Step-by-step explanation:

Ceiling area:  (28 ft)(16 ft) =           448 ft^2

End areas:  2(16 ft)(8 ft) =               256 ft^2

Long wall areas:  2(28 ft)(8 ft) =     448 ft^2

Total area (not incl. floor area) =  1152 ft^2

The gender that would have the highest probability of finding jeans to fit their height is males.

Probability simply means the chance that a particular thing or event will happen. It is the occurence of likely events. It is simply the area of mathematics that deals with the numerical estimates of the chance that an event will occur or that a particular statement is true

From the information, in the sample of 20 people, there are 8 females and 12 males who are looking for jeans that fits them.

Probability for males = 12 / 20

= 0.6

Probability for females will be:

= 8 / 20

= 0.4

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In a sample of 20 people, there are 8 females and 12 males who are looking for jeans that fits them. which gender would have the highest probability of finding jeans to fit their height?

Decision Support Systems (DSS) draw information from a variety of sources, including internal data generated within the organization and external data obtained from outside sources. Internal data encompasses data such as sales figures, financial statements, and customer records, providing an organization-specific view. External data includes market research reports, industry benchmarks, and government data, offering a broader context and insights into market trends and customer preferences. DSS can also utilize external databases and sources, such as data aggregators and public repositories, to access specialized data sets. By combining internal and external data sources, DSS can provide comprehensive decision support, enabling organizations to make informed choices based on a wide range of information.

Decision Support Systems (DSS) rely on a wide range of data sources to provide valuable information for decision-making processes. These sources can be categorized into internal and external data, each offering unique perspectives and insights.

Internal data refers to information generated and stored within an organization. This data can include sales figures, financial statements, customer records, inventory levels, and employee performance data. Internal data provides an organization-specific view and can be readily accessible for analysis within the DSS.

External data, on the other hand, encompasses information obtained from sources outside the organization. It can include market research reports, industry benchmarks, economic indicators, government data, social media feeds, and customer feedback. External data offers a broader context and helps organizations gain insights into market trends, competitor analysis, customer preferences, and regulatory changes.

Furthermore, DSS can also tap into various external databases, such as data aggregators, research institutions, and public repositories. These sources provide specialized data sets related to specific industries, demographics, geographies, or subjects of interest. By integrating these external sources, DSS can enhance its analytical capabilities and provide comprehensive decision support.

In conclusion, the information used in a Decision Support System can be obtained from both internal and external sources. By leveraging internal data and tapping into external databases and sources, DSS can provide a holistic and informed perspective for decision-making processes.

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Answer:

4/20

Step-by-step explanation:

Answer:

BC= 3

Step-by-step explanation:

Suppose a line BD is 10 and it has a point C somewhere on the  line. It is given that BC is  3times and CD is 7 times  or algebraically  if we take x as a variable then according to the given information

BC+ CD= BD

3x+ 7x= 10

10x= 10

x= 10/10

x= 1

3x would give 3 (1)= 3

Hence the Line BC = 3

and the line CD= 7

Answer:

positive charge...............

Answer:

C is a function

Step-by-step explanation:

We can use the vertical line test.  If a vertical straight lines passes through the graph more than one, it is not a function

A and B are not functions

C is a function