how to write decimal numbers 4.980
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The measure of the arc TQ is 180°.

Given that a circle with an angle subtended outside is 38° and a small arc of 104°, we need to determine the measure of arc TQ.

So, according to the property of a circle, we have,

m ∠R = 1/2 [m arc TQ - m arc SQ]

38° × 2 = m arc TQ - 104°

76° = m arc TQ - 104°

m arc TQ = 76° + 104°

m arc TQ = 180°

Hence the measure of the arc TQ is 180°.

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The equation \($r=4+13\sin(\theta)$\) represents a cardiod curve.

What is curve?

In mathematics, a curve refers to a continuous and smooth line that can be represented by a mathematical function or equation.

The equation \($r=4+13\sin(\theta)$\) represents a polar curve. When plotted in polar coordinates, the curve formed by this equation is a limacon with a loop, or a cardioid.

The shape of the curve is dependent on the values of \($r$\) and \($\theta$\). The parameter "a" in the equation represents the radius of the inner loop, while the parameter "b" represents the distance between the loop and the origin. In this case, \($a=13$\) and \($b=4$\), which results in a cardioid.

Therefore, the equation \($r=4+13\sin(\theta)$\) represents a cardiod curve.

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Answer:

5 units

Step-by-step explanation:

Find the distance between the point - 3, 2 and 1 - 1​

Given data

x1= -3

y1= 2

x2= 1

y2= -1

The expression for the distance between two points is

d=√((x_2-x_1)²+(y_2-y_1)²)

subtitute

d=√((1-(-3))²+(-1-(2))²)

d=√((1+3))²+(-1-2))²)

d=√((4)²+(-3))²)

d=√16+9

d=√25

d=5

Hence the distance between the points is 5 units

Answer:

Step-by-step explanation:

The value of angle SJP is determined as 270⁰.

The value of angle SJN is determined as 90⁰.

The value of angle SJP is calculated by applying intersecting chord theorem as follows;

From the diagram, the value arc SAJ is equal to the value of angle SJP.

Thus, angle SJP = 270⁰

The value of angle SJN is calculated as follows;

angle SJN = 360 - angle SJP (sum of angles in a circle)

angle SJN = 360 - 270

angle SJN = 90⁰

Thus, the values of angle SJP and SJN are calculated by applying chord angles theorem.

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The probability that if a random person is chosen from the group of lawyers, the person will be a liar is 38/45, or 0.84.

As a fraction: The probability is given as 38/45, which means that out of 45 people chosen randomly from the group of lawyers, 38 of them are expected to be liars.

As a decimal: To express the probability as a decimal, we divide the numerator (38) by the denominator (45):

38 ÷ 45 ≈ 0.8444444444444444

Rounded to two decimal places, this would be approximately 0.84.

As a percentage: To express the probability as a percentage, we multiply the decimal form by 100:

0.8444444444444444 * 100 ≈ 84.44%

Rounded to two decimal places, this would also be approximately 84.44%.

So, the probability that if a random person is chosen from the group of lawyers, the person will be a liar can be expressed as 38/45 as a fraction, approximately 0.84 as a decimal, or approximately 84.44% as a percentage.

This can be expressed as a fraction, decimal, or percentage, whichever is more helpful.

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The measurement of the Arc(IJK) is 259 degree.

According to the statement

we have to find the measurement of the arc ikj.

So, For this purpose, we know that the

The given measurement of the arc are:

mik = (11x + 2)°, and mjk = (12x-7)°.

It means

Arc(ik) is equivalent to the  Arc(jk)

For more understanding please see the mage below.

So, Take m on the both sides then it become

mArc(ik) is equivalent to the  mArc(jk)

Now take this equal to each other then

11x + 2 = 12x-7

11x -12x = -7-2

-x = -9

here x = 9 then

The measure of mArc(IK) is

11x + 2

11(9) + 2

99+2

101 degree.

then the

The measure of Arc(IJK) is

Arc(IJK) = 360 - mArc(IK)

Arc(IJK) = 360 - 101

Arc(IJK) = 259 degree.

So, The measurement of the Arc(IJK) is 259 degree.

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\(\huge{ \mathfrak{  \underline{ Answer \:  \:  ✓ }}}\)

Slope of the line :

\( \large\boxed{ \mathrm{ \frac{y_2 - y_1 }{x_2 - x_1} }}\)

therefore, m = slope = -1

The equation of the line will be :

Now, let's plug the value of x and y from coordinates of second point,

Hence, the required values are :

_____________________________

\(\mathrm{ ☠ \: TeeNForeveR \:☠ }\)

The slope of line passing through  (-2, 7) and (3, 2). is -1 and the value of the y-intercept b is 5.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

A line passes through (-2, 7) and (3, 2). We need to find the slope.

x₁=-2, x₂=3, y₁=7, y₂=2

substitute the values in formula of slope

m=2-7/3-(-2)

m=-5/5=-1

The slope intercept form of line is y=-x+b

To find b put the values of (-2,7)

7=-(-2)+b

7=2+b

7-2=b

5=b

y intercept is 5

Hence the slope of line passing through  (-2, 7) and (3, 2). is -1 and the value of the y-intercept b is 5.

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Answer:

118.7 inches squared.

Step-by-step explanation:

The area is the total space taken up by a flat (2-D) surface or shape. The area is always measured in square units.

Diameter is the length across the entire circle, the line splitting the circle into two identical semicircles.

The expression for solving the area of a circle is A = π × \(r^{2}\).

To solve for the semicircle above, we can divide the diameter into 2 to get the radius.

So, the radius of the upper semicircle is 6 inches.

If the radius of a circle is 6 inches, then you can substitute r for 6 into the formula.

This simplifies to A = 36π. If a semicircle if half the size of a normal circle, then it will be A = 18π, because 36 ÷ 2 = 18.

To solve for the lower semicircle, we can do the same this as we did above.

But wait, we don't know the radius or diameter!

No worries! To solve for the diameter of the circle, we can take the line that is parallel to the semicircle (the one that has a length of 12in) and subtract 6 from it. We subtract 6 from it because the semicircle takes up the remaining length of the line, not including the 6in.

To solve for the lower semicircle, we can divide the diameter by 2 to get the radius.

So, the radius of the circle is 3.

Now we can insert 3 into the expression.

This simplifies to A = 9π. If a semicircle if half the size of a normal circle, then it will be A = 4.5π because like above, 9 ÷ 2 = 4.5.

Adding the two semicircles together:

So, the area of both semicircles is approximately 70.6858 square inches.

To solve for the area of a rectangle we use the expression:

Inserting the dimensions of the rectangle:

So, the area of the rectangle is 48 square inches.

Adding the two areas together:

Therefore, the area of the entire figure, rounded to the nearest tenth is \(118.7\) \(in^{2}\).

Answer:

2 per day

Step-by-step explanation:

Answer: 1, 280 cents

Step-by-step explanation:

\( \huge\boxed{\mathfrak{Answer}}\)

=> Factor.

When an algebraic expression can be written as the product of two or more expressions, then each of these expressions is called a factor of the given expression.

\( \sf \: It's \: called \: a \: \boxed{\underline{\bf \: factor}}\)

When an algebraic expression can be written as the product of two or more expressions, then each of these expressions is called a \(\boxed{\underline{\bf \: factor}}\)of the given expression.

Answer:

The series has 7 terms

\(\displaystyle S_7=\frac{4372}{243}\)

Step-by-step explanation:

Geometric Series

In the geometric series, each term is found by multiplying (or dividing) the previous term by a fixed number, called the common ratio.

We are given the series:

-12, -4, -4/3, ..., -4/243

We can find the common ratio by dividing one term by the previous term:

\(\displaystyle r=\frac{-4}{-12}\)

Simplifying:

\(\displaystyle r=\frac{1}{3}\)

Sum of terms: Given a geometric series with first term a1 and common ratio r, the sum of n terms is:

\(\displaystyle S_n=a_1\frac{1-r^n}{1-r}\)

We need to find how many terms the series has. Using the explicit formula of a geometric series:

\(a_n=a_1\cdot r^{n-1}\)

The last term is an=-4/243 and the first term is a1=-12. Solving for n:

\(\displaystyle n= \frac{\log(a_n/a_1)}{\log r}+1\)

\(\displaystyle \frac{\log(-4/243/-12)}{\log 1/3}+1\)

\(\displaystyle \frac{\log(1/729)}{\log 1/3}+1\)

n=7

The series has 7 terms

Thus, the sum of the 7 terms of the series is:

\(\displaystyle S_7=-12\frac{1-(1/3)^7}{1-(1/3)}\)

\(\mathbf{\displaystyle S_7=\frac{4372}{243}}\)

Therefore, the mean temperature for the recorded week is approximately 29.9°F.

To calculate the mean temperature, we need to sum up all the recorded temperatures and divide the total by the number of days.

Given the daily temperatures for the week:

Monday: 35.5°F

Tuesday: 30.8°F

Wednesday: 27.3°F

Thursday: 32.1°F

Friday: 23.8°F

Saturday: 29.9°F

To find the mean temperature, we sum up all the temperatures and divide by the total number of days (which is 6 in this case):

Mean temperature = (35.5 + 30.8 + 27.3 + 32.1 + 23.8 + 29.9) / 6

Calculating the sum:

Mean temperature = 179.4 / 6

Mean temperature ≈ 29.9°F

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The mean temperature for the week is calculated to be 29.9 degrees Fahrenheit.

To calculate the mean temperature, we need to find the average temperature over the course of the week. This is done by summing up the temperatures recorded on each day and then dividing the total by the number of days.

In this case, the temperatures recorded on each day are 35.5, 30.8, 27.3, 32.1, 23.8, and 29.9 degrees Fahrenheit.

By adding these temperatures together:

35.5 + 30.8 + 27.3 + 32.1 + 23.8 + 29.9 = 179.4

We obtain a sum of 179.4.

Since there are 6 days in a week, we divide the sum by 6 to find the average:

Mean temperature = 179.4 / 6 = 29.9 degrees Fahrenheit

Therefore, the mean temperature for the week is calculated to be 29.9 degrees Fahrenheit. This represents the average temperature over the recorded days.

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Answer:

Vertical line (straight up and down)

Step-by-step explanation:

The slope of a line can be positive, negative, zero, or undefined. A horizontal line has slope zero since it does not rise vertically (i.e. y1 − y2 = 0), while a vertical line has undefined slope since it does not run horizontally (i.e. x1 − x2 = 0).

Answer:

Step-by-step explanation:

the slope of any line is rise/run. What this means is that you have the change in y value divided by the change in x. If you have two points whos x value stays the same, or does not change, you have the change in y divided by 0. Dividing any number by 0 gives you the answer “undefined”.

Answer: Yes, is the same ratio.

Explanation:

For the girls we have that out of the 30 that tried out for the team, 12 were selected. The ratio for the girls is:

(we simplify 12/30 by dividing the numerator and denominator by 6)

For the boys we have that out of the 40 that tried out for the team, 16 were selected. The ratio for the boys is:

(we simplify 16/40 by dividing the numerator and denominator by 8)

We can see that the ratio of the number of students on the team to the number of students trying out is the same for girls and boys.

Answer: The answer is B

Step-by-step explanation: I just did the study island

The correct statement is A. The air traveling across the lake is warmer than the lake, and it produces snow as it passes over the cold lake water.

When cold, dry air moves across a large body of warmer water, the lower layer of air is warmed by the water and becomes more humid. This moist air rises and cools as it moves over the colder air above the lake.

This cooling can cause the water vapor to condense and form clouds, which can produce snowfall. This process is known as "lake-effect snow" and can result in significantly higher snowfall totals in areas close to the lake, such as South Haven, Ludington, and Traverse City.

This effect is not observed in areas that are located inland, such as Lansing and Coldwater, which typically receive less snowfall.

Therefore, the correct answer is A. The air traveling across the lake is warmer than the lake, and it produces snow as it passes over the cold lake water.

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The number of subscribers with land-line phones for any year after 2000, taking into account the 27% annual decline rate.

According to the given information, land-line phones are decreasing at a rate of 27% each year since 2000. This means that each year, the number of subscribers with land-line phones is reduced to 73% (100% - 27%) of the previous year's value.

To create a formula that models this scenario, we start with the initial number of subscribers in the year 2000, which is given as 10,000. We can express this as y(0) = 10,000, where y(0) represents the number of subscribers in the starting year (t = 0).

Based on the decline rate of 27% per year, we can express the relationship between the number of subscribers in a given year (y) and the number of subscribers in the previous year (y-1) as follows:

y = 0.73 * y(t-1)

Here, 0.73 represents the probability of retaining a land-line phone subscription from one year to the next, given the 27% annual decline rate. Multiplying this probability by the number of subscribers in the previous year gives us the estimated number of subscribers in the current year.

By iterating this formula year after year, we can estimate the number of subscribers with land-line phones for any given year after 2000.

For example, let's calculate the number of subscribers in the year 2023, which is 23 years after 2000 (t = 23). Using the formula, we can substitute t = 23 into the equation:

y(23) = 0.73 * y(22)

To find y(22), we substitute t = 22 into the equation:

y(22) = 0.73 * y(21)

We continue this process until we reach the starting year, y(0) = 10,000.

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Complete Question:

With the growing popularity of cell phones, a local phone company had a sharp decline in the number of customers with land-line phones in their homes. Suppose land-line phones are decreasing at a rate of 27% each year since 2000. Assume that there were 10,000 subscribers with land-line phones in the year 2000.

For convenience let t = the number of years after 2000 and y = number of subscribers with land-line phones.

A formula that models this scenario is

Answer:

she was on a call for 36 minutes

Step-by-step explanation: 6.82-2.5= 4.32 4.32/.12= 36

The customer bought 0.25 pounds of Sri Lankan coffee and 3.75 pounds of Kona coffee

Data;

To solve this question, let us write a system of equations to show this problem.

\(x + y = 4 ... equation (i)\\4.20x + 6.20y = 24.30... equation (ii)\)

From equation (i)

\(x + y = 4\\x = 4 - y...equation (iii)\)

Put equation (iii) into equation (ii)

\(4.20x + 6.20y = 24.30\\x = 4 - y\\4.20(4 - y)+ 6.20y = 24.30\\16.8 - 4.20y + 6.20y = 24.30\\16.8 +2y = 24.30\\2y = 24.30 - 16.80\\2y = 7.5\\2y/2 = 7.5/2\\y = 3.75\)

Using the value of y which is the Kona's coffee, let's substitute this into equation (i) to solve for x

\(x+y = 4\\x = 4 - 3.75\\x = 0.25\)

From the calculations above,

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A. In the alternate universe, the p subshell would have 5 orbitals.

B. In the alternate universe, the d subshell would have 10 orbitals.

In the alternate universe where the possible values of mℓ range from -l-1 to l+1, the number of orbitals in each subshell can be determined.

A. For the p subshell, the value of l is 1. Therefore, the range of mℓ would be -1, 0, and 1. Including the additional values of -2 and 2 from the alternate universe, the total number of orbitals in the p subshell would be 5 (mℓ = -2, -1, 0, 1, 2).

B. For the d subshell, the value of l is 2. In the conventional universe, the range of mℓ would be -2, -1, 0, 1, and 2, resulting in 5 orbitals. However, in the alternate universe, the range would extend to -3 and 3. Including these additional values, the total number of orbitals in the d subshell would be 10 (mℓ = -3, -2, -1, 0, 1, 2, 3).

Therefore, in the alternate universe, the p subshell would have 5 orbitals, and the d subshell would have 10 orbitals.

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Answer:

The half-way coordinate between the end points.

Step-by-step explanation:

The half-way coordinate between the end points.

The solution to the equation 2 csc x = 3 csc θ − csc θ sin θ in the range 0 ≤ θ < 2π is:

θ = 7π/6

We can start by manipulating the given equation to express cscθ in terms of cscx:

2 csc x = 3 csc θ − csc θ sin θ

2/cscθ = 3 - sinθ

cscθ/2 = 1/(3 - sinθ)

cscθ = 2/(3 - sinθ)

Now we can use the identity sin²θ + cos²θ = 1 and substitute for cscθ in terms of sinθ:

1/cosθ = 2/(3 - sinθ)

cosθ = (3 - sinθ)/2

Next, we can use the identity sin²θ + cos²θ = 1 to solve for sinθ:

sin²θ + cos²θ = 1

sin²θ + [(3 - sinθ)/2]² = 1

Multiplying both sides by 4, we get:

4sin²θ + (3 - sinθ)² = 4

Expanding and simplifying, we get:

8sin²θ - 6sinθ - 8 = 0

Dividing both sides by 2, we get:

4sin²θ - 3sinθ - 4 = 0

Using the quadratic formula with a = 4, b = -3, and c = -4, we get:

sinθ = [3 ± √(3² - 4(4)(-4))]/(2(4))

sinθ = [3 ± √49]/8

sinθ = (3 ± 7)/8

Since 0 ≤ θ < 2π, we only need to consider the solution sinθ = (3 - 7)/8

= -1/2 corresponds to an angle of 7π/6 in the third quadrant.

To find cosθ, we can use the identity sin²θ + cos²θ = 1:

cosθ = ±√(1 - sin²θ)

Since we are in the third quadrant, we want the value of cosθ to be negative, so we take the negative square root:

cosθ = -√(1 - (-1/2)²)

cosθ = -√(3/4)

cosθ = -√3/2

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The 95% confidence interval for the average apple weight is (119.14, 125.86).

An apple typically weighs 120 grams with a 12-gram standard deviation, according to one manufacturer. The average weight of an apple was 122. 5 grams, according to statistics created from a sample of 49 apples that were randomly chosen from a shipment.

Let, n = 49

x = 122.5 

σ = 12

To calculate and interpret a 95% confidence interval for the average apple weight, use the formula;

⇒ (x ± 1.96*σ/√n)

⇒ (122.5 ± 1.96*12/√49)

⇒ (119.14, 125.86)

Consequently, the average apple weight has a 95% confidence interval of (119.14, 125.86).

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Answer:

I think the answer is 50

Step-by-step explanation:

thats how i learned in school i dont remember tho

Answer:

Step-by-step explanation:

Answer:

x=6/25      or     decimal = x=-0.24

Step-by-step explanation:

The valid C identifiers from the given options are (b) travel time, (d) number, (f) inchesinonecentimeter, (g) monthly pay, and (h) first.

In C programming, identifiers are names used to identify variables, functions, and other entities. They must follow certain rules to be considered valid. Here's an analysis of each option:

(a) firstc prog: Invalid identifier because it starts with a number, which is not allowed in C.

(b) travel time: Valid identifier because it consists of alphabetic characters and spaces are allowed.

(c) 3feetinayard: Invalid identifier because it starts with a number, which is not allowed in C.

(d) number: Valid identifier because it consists of alphabetic characters.

(e) cpp assignment: Invalid identifier because it contains a space, which is not allowed in C.

(f) inchesinonecentimeter: Valid identifier because it consists of alphabetic characters.

(g) monthly pay: Valid identifier because it consists of alphabetic characters and spaces are allowed.

(h) jack'shomework: Invalid identifier because it contains an apostrophe, which is not allowed in C.

To summarize, the valid C identifiers from the given options are (b) travel time, (d) number, (f) inchesinonecentimeter, (g) monthly pay, and (h) first.

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