A model of a golf course says that hole #9 is 175 yards long. If the scale for the model is 2in.:20 yards, how many inches are there between the tee and the hole on the model.

The question requires that segment AB is to be divided into two equal parts.

To do this, the order of steps for bisecting AB are D, E, B, C, A

To bisect segment AB implies dividing AB into two equal parts. After the construction, the length of each part must be equal.

Therefore, the required steps to bisect segment AB are as follow

A MIRA is a commercial name given to a piece of colored transparent plastic used to reflect geometric objects.

D. Place the compass on point A, and open it wider than half the distance of the segment.

E. Swing an arc above and below the segment.

B. Keeping the compass the same width, place the compass on point B, and swing an arc above and below the segment.

C. Place points C and D on the intersection of the arcs created above and below segment AB.

A Draw a line from C point to point D.

Therefore the line CD is the perpendicular bisector of segment AB.

Thus, the order of steps for the bisection process is D, E, B, C, and A.

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The probability that the coin will show tails and the cube will show a three, four, or six is 1/4.

The probability of two independent events occurring, we multiply their individual probabilities.

Let's start by determining the probability of the coin showing tails.

Since it is a fair coin, there are two equally likely outcomes: heads or tails.

The probability of the coin showing tails is 1/2.

Next, we consider the number cube.

It is a standard six-sided die, and we want to find the probability of rolling a three, four, or six.

Out of the six possible outcomes (numbers 1 to 6), three of them satisfy our condition (3, 4, and 6).

The probability of rolling a three, four, or six is 3/6 or 1/2.

Now, we can find the probability of both events occurring by multiplying the probabilities together:

P(Tails and 3, 4, or 6) = P(Tails) × P(3, 4, or 6)

= 1/2 × 1/2

= 1/4

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1.625 more handfuls

To start, we know that Norma ate 3 handfuls

n (Norma) = 3

Next, we learn that Brennan ate 1 and 3/8 handfuls. 3/8 converted into decimal form is 0.375, so Brennan ate 1.375 handfuls

b (Brennan) = 1.375

To figure out the difference between the two, you do Brennan's 1.375 and subtract it from Norma's 3.

An equation for this (if it helps) would be

n - b = x

To solve, substitute the values to find x

In conclusion, Norma ate 1.625 more handfuls than Brennan

Answer:

Step-by-step explanation:

We can solve this equation for theta using the inverse cosine function, also known as the arccosine function, denoted as cos⁻¹. The arccosine function gives the angle whose cosine is a given value. In this case, we have:

cos theta = √3/2

Taking the inverse cosine of both sides, we get:

theta = cos⁻¹(√3/2)

Using a calculator or reference table, we can find that cos⁻¹(√3/2) = 30°. However, we need to consider the range of theta, which is given as 0 ≤ theta ≤ 360.

Since cos(theta) has a period of 360°, we can add or subtract multiples of 360° to theta without changing the value of cos(theta). Therefore, the solutions for theta are:

theta = 30° + 360°n, where n is an integer

theta = 360° - 30° + 360°n = 330° + 360°n, where n is an integer

These solutions satisfy the condition 0 ≤ theta ≤ 360. Therefore, the solutions for theta are:

theta = 30°, 390°

Note that 390° is equivalent to -30°, which is another solution to the equation. However, we excluded negative angles from the range of theta given in the problem, so we only include 30° as a solution.

Answer:

17x + 8

Step-by-step explanation:

4(3x + 2) + 5x​

12x + 8 + 5x

17x + 8

Answer:

r=20

Step-by-step explanation:

r/20​​−5=−4

r/20​​=−4+5

r/20=1

r=1×20

r=20

Answer:

20

step by step

Zane's velocity climbing the volcano is given as follows:

B. 5/7 meters per second.

The linear function in the context of this problem is defined as follows:

y = 5/7x - 25.

Hence the coefficients of the linear function are given as follows:

The meaning of each of these coefficients is given as follows:

Thus the correct option of Zane's velocity climbing the volcano is of option B.

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Answer:

Step-by-step explanation:

You want to know the travel times at 12 mph (going) and 15 mph (returning) for a round trip that took 9 hours.

Over the same distance, the travel time is inversely proportional to the speed. This means ...

  (time going)/(time returning) = 15/12 = 5/4 . . . . . . inverse of speed ratio

Then the fraction of total time spent on the trip to the cafe is ...

  fraction of total spent "going" = 5/(5+4) = 5/9

And the time spent "going" is ...

  (5/9)·(9 hours) = 5 hours

Anika traveled 5 hours at 12 mph, and 4 hours at 15 mph.

__

Additional comment

The distance is the product of time and speed, so we see the distance in each direction is ...

  (5 h)(12 mi/h) = 60 mi = (4 h)(15 mi/h)

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Answer:

x = -5

Step-by-step explanation:

f(x) = -4x - 10 and f(x) = 10

Step 1: Substitute 10 for f(x)

10 = -4x - 10

Step 2: Add 10 to both sides to get x alone

10 = -4x - 10

+10       +10

20 = -4x

Step 3: Divide both sides by -4 to get x alone

20 = -4x

-4      -4

x = -5

Answer:

\(y=\frac{1}{4}x+4\)

Step-by-step explanation:

ind the slope of the original line and use the point-slope formula  y − y 1 = m ( x − x 1 )

to find the line parallel to  x + 4y = 28 .

Correct option is D) and E)

(3,7π/6),(3,11π/6)

Point of intersection is the point where two lines or two curves meet each other.

The point of intersection of two lines of two curves is a point.

If two planes meet each other then the point of intersection is a line.

The term "point of intersection" refers to the intersection of two lines. The equations a1x+b1y+c1=0 and a2x+b2y+c2=0, respectively, are used to represent these two lines. The two lines' intersection point is shown in the following figure. The intersection of three or more lines can also be located.

let

5 + 4 sin(θ) = −6 sin(θ)

Then get

θ= -1/2

Then you can make it

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I understand that the question you are looking for is:

On the interval [0, 2π), which points are intersections of r = 5 4 sin(θ) and r = −6 sin(θ)? check all that apply.

A) -3,7/6

B) (-3,11/6)

C) (3,7/6)

D) (3,11/6)

Answer:

Volume = 251.2 cubic inches

Step-by-step explanation:

You get the volume of a cylinder by multiplying the area of the base with the height.

Since the diameter is 4 inches, the radius of the base is 4/2 = 2 inches

So, volume = base area* height

                  = 2² * 3.14 * 20

                  = 251.2

The approximate volume of the cylinder mailling tube, to the nearest tenth of a cubic inch is 251.2 in³.

Volume of cylinder is the amount of quantity, which is obtained by the solid or object in the 3 dimensional space.

Volume of cylinder is the can be given as,

\(V=\pi r^2h\)

Here, (r) is the radius of the base of the cylinder and (h) is the height of the cylinder.

A cylindrical mailing tube has a length of 20 inches and diameter of 4 inches. The radius is half of the diameter of the cyilnder. Thus the radius of the cylinder is,

\(r=\dfrac{4}{2}\\r=2\rm\; in\)

Put the value of radius and height of the cylinder in the above formula as,

\(V=3.14 (2)^2(20)\\V=251.2\rm\; in^3\)

Thus, the approximate volume of the cylinder mailling tube, to the nearest tenth of a cubic inch is 251.2 in³.

(Use 3.14 for pi.)

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Answer:

Step-by-step explanation:

Starting elevation of B = +200 feet

Change in elevation for B = 75 feet down

Final elevation of B = +200 - 75 = +125 feet

The addition equation for B can be written as:

Starting elevation + Change = Final elevation

+200 - 75 = +125

The number line diagram for B is as follows:

+------------------------+------------------------+------------------------+

A B C D

+200 +125 +225

<----- 75 ft ----->

(change in elevation)

Answer:

No

Step-by-step explanation

12/3 = 4

4 not 6

The distance between the points (-2, 9) and (0, 0) is approximately 9.2 units.

To find the distance between two points in a coordinate plane, we can use the distance formula. The distance formula is derived from the Pythagorean theorem and calculates the straight-line distance between two points (x1, y1) and (x2, y2) as follows:

Distance = √((x2 - x1)^2 + (y2 - y1)^2)

Let's calculate the distance between the points (-2, 9) and (0, 0) using the distance formula:

x1 = -2, y1 = 9

x2 = 0, y2 = 0

Distance = √((0 - (-2))^2 + (0 - 9)^2)

= √((2)^2 + (-9)^2)

= √(4 + 81)

= √85

Rounding the result to the nearest tenth, we get:

Distance ≈ 9.2

Therefore, the distance between the points (-2, 9) and (0, 0) is approximately 9.2 units.

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Answer:

$76

Step-by-step explanation:

Peralta and Amy worked last winter shovelling their neighbour's driveway.

Let the amount

Peralta earns = x

Amy earns = y

Amy earned $8 more than twice the amount earned by Peralta.

y = 2x + $8

y = 2x + 8

If their earnings totalled $110,

x + y = 110

x = 110 - y

We substitute 110 - y for x

Hence:

y = 2(110 - y) + 8

y = 220 - 2y + 8

Collect like terms

y + 2y = 220 + 8

3y = 228

y = 228/3

y = 76

Since, the amount Amy earns = y

Therefore, Amy earned $76

10 is the value of x from the given figure.

The given figure is a circle geometry. In order to determine the value of x, we will use the theorem;

The angle at the vertex is half the sum of the angles at the intercepted arcs.

60 = 1/2(55+5x+15)

120 = 5x + 70

5x = 120 -70

5x = 50

Divide both sides by 5

5x/5 = 50/5

x =10

Hence the value of x from the given figure is 10

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The correct answer is B. coding. Converting narrative diagnoses and procedures into numeric form is known as coding.

Coding is the process of assigning numeric or alphanumeric codes to medical diagnoses, procedures, and services for the purpose of standardized documentation, billing, and statistical analysis. It involves translating the narrative description of a diagnosis or procedure into a specific code that represents that particular condition or treatment. The codes are typically part of a standardized classification system, such as the International Classification of Diseases (ICD) for diagnoses and the Current Procedural Terminology (CPT) or Healthcare Common Procedure Coding System (HCPCS) for procedures.

Coding is essential in healthcare for various reasons. It ensures accurate and consistent documentation of patient information, facilitates proper billing and reimbursement, enables statistical analysis for research and public health purposes, and supports data exchange and interoperability between different healthcare systems and organizations. By converting narrative diagnoses and procedures into numeric codes, healthcare professionals can efficiently communicate medical information and ensure that it is interpreted and utilized correctly across different settings.

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Answer: \(9240\ ft^3\)

Step-by-step explanation:

Given

Dimension of the bathroom is \(12'\times 16'\)

Dimension of the bedroom is \(14'\times 18\)

Dimension of the great room is \(20'\times 30'\)

Height of the ceiling is \(h=10'\)

Total area of the cabin

\(\Rightarrow A=12\times6+14\times 18+20\times 30\\\Rightarrow A=72+252+600\\\Rightarrow A=924\ ft^2\)

Volume of the cabin is \(V=A\times h\)

\(\Rightarrow V=924\times 10\\\Rightarrow V=9240\ ft^3\)

Answer:

42.1 for me

Step-by-step explanation:

goodluck ..

Answer:

i think its 49.6

Answer:

28

Step-by-step explanation:

-6+28=22 is basically the same as 28-6

0.09004908.

Assuming that the probability of the football club winning any given match is independent of any other match, the probability of winning no more than 14 out of 25 matches is 0.09004908.

This can be calculated using the Binomial Probability formula, where n is the total number of trials (25 matches) and x is the number of desired successes (14 wins). The probability of success (p) is 65%. The equation for the probability of x successes in n trials is:

P(x) = (n!/(x!(n-x)!))*(p^x)*(1-p)^(n-x)

Therefore, the probability of winning no more than 14 matches out of 25 is:

P(x) = (25!/(14!(25-14)!)*(0.65^14)*(1-0.65)^(25-14)

Calculating this gives us a result of 0.09004908.

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Answer:

Solution given:

(x-5)(3x+1)

distribute

x(3x+1)-5(3x+1)

3x²+x-15x-5

3x²-14x-5 is a correct product

error is:

you need to put -(sigh) infront of 5.which gives

-15x and -5

and finally we get

3x²-14x-5

Answer:

one real solution being only -1

Step-by-step explanation:

Solve for w over the real numbers:

4 w^2 + 8 w + 4 = 0

Divide both sides by 4:

w^2 + 2 w + 1 = 0

Write the left hand side as a square:

(w + 1)^2 = 0

Take the square root of both sides:

w + 1 = 0

Subtract 1 from both sides:

Answer: |

| w = -1

Answer:

\(Discriminant=0\\b)\ One\ Real\ Solution\)

Step-by-step explanation:

\(We\ are\ given\ that:\\4w^2+8w+4=0\\We\ know\ every\ quadratic\ equation\ can\ be\ represented\ in\ the\ form\ of:\\ax^2+bx+c=0,\ where\ x \neq 0\\Hence,\\Lets\ first\ recognize\ the\ co-efficients\ of\ the\ algebraic\ terms( x^2,\ x,\ x^0),\\ which\ are\ a,b\ and\ c\ respectively.\)

\(Hence,\\4w^2+8w+4=0\\4(w^2)+8(w)+4(w^0)=0\\Hence,\\a=4,\ b=8,\ and\ c=4.\)

\(Now,\\We\ can\ decide\ the\ nature\ of\ roots\ the\ quadratic\ equation\ has,\ by\ looking\\ at\ its\ Discriminant.\\Hence,\\Lets\ first\ find\ the\ Discriminant\ for\ our\ equation:\\\)

\(We\ know\ that,\\Discriminant=b^2-4ac\\\\Substituting\ a=4, b=8, c=4\ in\ the\ Discriminant\ Formula,\ we\ get:\\8^2-4*4*4\\=64-64\\=0\\Hence,\\Discriminant=0\)

\(We\ also\ know\ that\ if,\\D>0, The\ equation\ forms\ 2\ distinct\ real\ roots.\\D=0,The\ equation\ forms\ only\ one\ real\ root\ exactly\ at\ the\ x-axis.\\D<0,\ The\ equation\ forms\ Imaginary/Complex\ Roots\ or\ basically\ no\ real\ roots.\)\(Here,\\As\ D=0,\\The\ equation\ forms\ only\ one\ Real\ root\ or\ has\ only\ one\ solution.\)

The equation of the circle, obtained by applying the completing the square method to the specified equation indicates that the center and radius of the circle are;

Center (0, 6) and radius 7.5

The general form of the equation of a circle is; (x - h)² + (y - k)² = r², where;

(h, k) = The coordinates of the center of the circle

r = The measure of the length of the radius

The possible equation obtained from a similar question on the internet can be presented as follows;

x² + y² - 12·y - 20.25 = 0

The above equation can be evaluated using the completing the square method and excluding the x² term as follows;

y² - 12·y - 20.25 = 0

y² - 12·y = 20.25

y² - 12·y + (-12/2)² = 20.25 + (-12/2)²

y² - 12·y + (-6)² = 20.25 + (-6)² = 56.25

(y - 6)² = 56.25

Therefore;

y - 6 = √(56.25) = ±7.5

The possible equation of the circle obtained by plugging in the x² term therefore is; (x - 0)² + (y - 6)² = 7.5²

The center of the circle is therefore;

(h, k) = (0, 6)

The radius of the circle, r = 7.5

The possible correction is therefore, option (a), where the 5 is a typing error

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Answer:

A and C (integers are whole numbers, so NOT fractions or decimals.)

Step-by-step explanation:

Answer:

A, C and E

Step-by-step explanation:

Integers are whole positive or negative numbers.

The sequence from response to question 1 is neither arithmetic nor geometric.

The sequence in mathematics is the order of value of items or events. Usually, it contains a number or a series of numbers with a length of series that can be unlimited.

If the sequence has common differences from one value to another it can be considered as an arithmetic sequence, for example, 2,4,6,8. If the sequence has common ratios from one value to another it can be considered as a geometric sequence, for example, 2,4,8,16.

Since the response in question 1 doesn't have either common differences or common ratios, so it is neither arithmetic nor geometric.

Your question is incomplete, but most probably your full question was

This morning Haidar noticed that her dog, Aldi, seemed unwell. She took him to the vet, where he was diagnosed with an ear infection. The veterinarian prescribed an antibiotic called amoxicillin to help Aldi feel better. Haidar will give Aldi 150 mg of the antibiotic once each day for 10 days. Each time Haidar gives Aldi his next dose of medication, 40% of the previous dose remains in his bloodstream.

Response to number 1=

1st dose =150 mg

2nd dose =210mg

3rd dose =234mg

4th dose=243.6 mg

Use your response to question 1 to write a recursive definition for the amount of medication in Aldi’s bloodstream after each dose of medication. Is your definition arithmetic, geometric, or neither? Explain.

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