In circle Q, measure of arc JK = 180° and measure of arc LM = 116º. What is

measure of angle 1?



90

32

58

64

The equation -x + y = 5 can be represented in the y = mx + b form as y = x + 5. This form allows us to easily identify the slope and y-intercept of the line represented by the equation.

To express the equation -x + y = 5 in the y = mx + b form, we need to isolate y on one side of the equation.

Starting with -x + y = 5, we can rearrange the equation by moving the -x term to the other side:

y = x + 5

Now the equation is in the form y = mx + b, where m represents the slope and b represents the y-intercept.

In this case, the coefficient of x is 1, which gives us a slope of m = 1. This means that for every unit increase in x, y will increase by 1. The positive slope indicates that the line will slant upward as we move from left to right.

The constant term in the equation is 5, which gives us the y-intercept, b = 5. The y-intercept is the value of y when x is 0, which in this case is the point (0, 5) on the y-axis.

In the y = mx + b form, the equation -x + y = 5 can be written as y = x + 5. We can quickly determine the slope and y-intercept of the line that the equation represents using this method.

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Answer:

Step-by-step explanation:

To identify the center, foci, vertices, co-vertices, and lengths of the semi-major and semi-minor axes of an ellipse given its equation, convert the equation to standard form, determine the alignment, and apply the relevant formulas.

To identify the center, foci, vertices, co-vertices, and lengths of the semi-major and semi-minor axes of an ellipse given its equation, follow these steps:

Rewrite the equation of the ellipse in the standard form: ((x-h)^2/a^2) + ((y-k)^2/b^2) = 1 or ((x-h)^2/b^2) + ((y-k)^2/a^2) = 1, where (h, k) represents the center of the ellipse.

Compare the denominators of x and y terms in the standard form equation: if a^2 is the larger denominator, the ellipse is horizontally aligned; if b^2 is the larger denominator, the ellipse is vertically aligned.

The center of the ellipse is given by the coordinates (h, k) in the standard form equation.

The semi-major axis 'a' is the square root of the larger denominator in the standard form equation, and the semi-minor axis 'b' is the square root of the smaller denominator.

To find the vertices, add and subtract 'a' from the x-coordinate of the center for a horizontally aligned ellipse, or from the y-coordinate of the center for a vertically aligned ellipse. The resulting points will be the vertices of the ellipse.

To find the co-vertices, add and subtract 'b' from the y-coordinate of the center for a horizontally aligned ellipse, or from the x-coordinate of the center for a vertically aligned ellipse. The resulting points will be the co-vertices of the ellipse.

The distance from the center to each focus is given by 'c', where c^2 = a^2 - b^2. For a horizontally aligned ellipse, the foci lie at (h ± c, k), and for a vertically aligned ellipse, the foci lie at (h, k ± c).

The lengths of the semi-major axis and semi-minor axis are given by 2a and 2b, respectively.

By following these steps, you can identify the center, foci, vertices, co-vertices, and lengths of the semi-major and semi-minor axes of an ellipse given its equation.

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The given function is

lim (x,y)→(0,0) x²y⁴ - x⁴y² / x+4.

The above function can be written as:

(x²y⁴ / x+4) - (x⁴y² / x+4)

On taking LCM, we get the following function:

(x²y⁴ - x⁴y²) / x+4(x²y²) (y² - x²) / x+4y²(x²) (y² - x²) / (x+4) (y²)

Now, applying the limit, x→0, y→0

So, substituting x = 0 and y = 0, we get,

0 * (y²) / 4 * (y²) = 0

Thus, the answer is 0

In this problem, we have to determine the given limit of a function lim (x,y)→(0,0) x²y⁴ - x⁴y² / x+4.

In order to solve this problem, we will make use of the limit laws and factorization.

Limit laws that are to be used are:

(1) Sum rule: lim [f(x) + g(x)] = lim f(x) + lim g(x)

(2) Product rule: lim [f(x) * g(x)] = lim f(x) * lim g(x)(

3) Quotient rule: lim [f(x) / g(x)] = lim f(x) / lim g(x), provided lim g(x) ≠ 0

Let us solve the problem step by step:

The given function is lim (x,y)→(0,0) x²y⁴ - x⁴y² / x+4.

The above function can be written as: (x²y⁴ / x+4) - (x⁴y² / x+4)

On taking LCM, we get the following function:

(x²y⁴ - x⁴y²) / x+4(x²y²) (y² - x²) / x+4y²(x²) (y² - x²) / (x+4) (y²)

Now, applying the limit,x→0, y→0

So, substituting x = 0 and y = 0, we get,0 * (y²) / 4 * (y²) = 0

Thus, the answer is 0.

Therefore, the given limit of a function lim (x,y)→(0,0) x²y⁴ - x⁴y² / x+4 is equal to 0.

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(a) Subset {13, 4, 5} is represented by the bit string 0100010110, where each bit corresponds to an element in the universal set U. (b) Subset {12, 3, 4, 7, 8, 9} is represented by the bit string 1000111100, with 1s indicating the presence of the corresponding elements in U.

(a) Subset {13, 4, 5} can be represented as a bit string as follows:

Bit string: 0100010110

Since the universal set U has 10 elements, we create a bit string of length 10. Each position in the bit string represents an element from U. If the element is in the subset, the corresponding bit is set to 1; otherwise, it is set to 0.

In this case, the positions for elements 13, 4, and 5 are set to 1, while the rest are set to 0. Thus, the bit string representation for {13, 4, 5} is 0100010110.

(b) Subset {12, 3, 4, 7, 8, 9} can be represented as a bit string as follows:

Bit string: 1000111100

Following the same approach, we create a bit string of length 10. The positions for elements 12, 3, 4, 7, 8, and 9 are set to 1, while the rest are set to 0. Hence, the bit string representation for {12, 3, 4, 7, 8, 9} is 1000111100.

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--The given question is incomplete, the complete question is given below " Suppose that the universal set is U = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10). Express each of the following subsets with bit strings (of length 10) where the ith bit (from left to right) is 1 if i is in the subset and zero otherwise. (a) 13, 4,5 (b) 12,3,4,7,8,9 "--

After the subtraction, the simplified form of the mixed number is 33/4

Mixed numbers

Mixed fraction means a fraction represented with its quotient and remainder.

Given,

Here we have the mixed numbers 12 5/12 - 4 1/6

Now, we have to perform the subtraction in it and then we have to simplifies it.

Firs we have to convert the mixed numbers into normal fraction, for that we have to do the following:

12 5/12 = (12 x 12) + 5/12

=> (144 + 5)/12

=> 149/12

Similarly, when we simplifies the second one, then we get,

=> 4 1/6 = (6 x 4) + 1/6

=> (24 + 1) / 6

=> 25/6

Here the fractions have unlike denominators.

So, first we have to find the Least Common Denominator and rewrite the fractions with the common denominator.

Therefore, the LCD(149/12, 25/6) = 12

Now, we have to multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD.

=> 149/12 - 50/12

The two fractions now have like denominators so you can subtract the numerators.

Then:

=> 99/12

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 99 and 12 using GCF(99,12) = 3

So, the simplified form of the fraction is

=> 33/4

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Answer: To determine the marginal cost of the third taco for Jeremy, we need to compare the cost of buying it individually to the cost of buying it as part of the value meal.

Buying two tacos individually:

Buying the value meal with three tacos:

To calculate the marginal cost, we subtract the cost of buying the value meal from the cost of buying two tacos individually:

The negative value indicates that buying the value meal is more cost-effective than buying the third taco individually. Therefore, the marginal cost of the third taco for Jeremy would be $0 (option A).

Answer:

14:20

or 14.13333

Step-by-step explanation:

212hours x 60seconds= 12720seconds

12720seconds/15miles= 848 seconds per mile

848seconds/60seconds=14.13

14 minutes

.13x60=19.98

20 seconds

14mins+20secs=14:20

on average, it takes Katerina approximately 848 minutes to run 1 mile.

To find the average number of minutes it takes Katerina to run 1 mile, we need to convert the given time from hours to minutes and then divide it by the distance.

Given:

Distance = 15 miles

Time = 212 hours

To convert 212 hours to minutes, we multiply it by 60 since there are 60 minutes in an hour:

212 hours * 60 minutes/hour = 12,720 minutes

Now, we can calculate the average time it takes Katerina to run 1 mile:

Average time = Total time / Distance

Average time = 12,720 minutes / 15 miles

Average time to run 1 mile = 848 minutes/mile

Therefore, on average, it takes Katerina approximately 848 minutes to run 1 mile.

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The surface area of the pyramid is 980  in²

The surface area of the pyramid is given by A = 4A' + A" where

Now, A' is a triangle. So, A' = 1/2bh where

Now using Pythagoras' theorem h = √(H² + (b/2)²) where H = height of pyramid and b = base of triangular face.

So, A' = 1/2bh

= 1/2b√(H² + (b/2)²)

Also, since A" is a square is A" = b²

So, A = 4A' + A"

= 4[1/2b√(H² + (b/2)²)] + b²

= 2b√(H² + (b/2)²) + b²

Given that

Substituting the values of the variables into the equation, we have that

A = 2b√(H² + (b/2)²) + b²

= 2(20 in)√((10.5in)² + (20 in/2)²) + (20in)²

= 40 in√((110.25 in² + 100 in²) + 400in²

= 40 in√((210.25 in²) + 400in²

= 40 in(14.5  in) + 400in²

= 580  in² + 400in²

= 980  in²

The surface area is 980  in²

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Surface area

The final image will fit in a similar portfolio with an area of 160 square inches.

To obtain the area of a rectangle, you need to multiply its length by its width. The formula for the area of a rectangle is:

Area = Length x Width.

The dimensions for this problem are given as follows:

24 inches, 36 inches.

With the reduction with a scale factor of 1/3, the dimensions are given as follows:

8 inches,  12 inches.

With the enlargement by a factor of 1.25, the dimensions are given as follows:

10 inches and 15 inches.

Hence the area is given as follows:

15 x 10 = 150 square inches.

As the area of 150 square inches is less than 160 square inches, the final image will fit in a similar portfolio with an area of 160 square inches.

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Answer:

C) 9 hours

Step-by-step explanation:

as per your picture the equation is

D(t) = 0.75×cos(pi/6 × t) + 1.5

the function cosine continuously "waves" from +1 to -1 and back.

the lowest value of this function for the first time after t>0 is when the cosine part reaches -1 the first time.

that is at 270° or 3pi/2.

so,

pi/6 × t = 3pi/2

1/6 × t = 3/2

t = 3×6/2 = 3×3 = 9

When mapping the graphemes in the word "flight," students would need five boxes to represent the individual sounds or phonemes: /f/, /l/, /ai/ (represented by "igh"), /t/, and a shared box for the final sound /t/.

In the word "flight," students would need five boxes (phonemes) to map the graphemes.

Phoneme-grapheme mapping is a process used in phonics instruction, where students break down words into individual sounds (phonemes) and then identify the corresponding letters or letter combinations (graphemes) that represent those sounds. It helps students develop phonemic awareness and letter-sound correspondence.

Let's analyze the word "flight" in terms of its individual sounds or phonemes:

/f/ - This is the initial sound in the word and can be represented by the grapheme "f."

/l/ - This is the second sound in the word and can be represented by the grapheme "l."

/ai/ - This is a dipht sound made up of the vowel sounds /a/ and /i/. It can be represented by the grapheme "igh."

/t/ - This is the fourth sound in the word and can be represented by the grapheme "t."

The final sound in the word is /t/. However, in terms of mapping graphemes, the final sound does not require a separate box because the "t" grapheme used to represent it is already accounted for in the previous box.

Therefore, when mapping the graphemes in the word "flight," students would need five boxes to represent the individual sounds or phonemes: /f/, /l/, /ai/ (represented by "igh"), /t/, and a shared box for the final sound /t/.

By segmenting words into phonemes and mapping graphemes, students can strengthen their understanding of the sound-symbol correspondence in written language and develop decoding skills essential for reading and spelling.

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The direction of the resultant vector is approximately -68.75°.

To find the direction of the resultant vector, we can use the formula:

θ = arctan(Vy/Vx)

where Vy is the vertical component (y-coordinate) of the vector and Vx is the horizontal component (x-coordinate) of the vector.

In this case, we have a resultant vector with components Vx = -6 and Vy = 16.

θ = arctan(16/-6)

Using a calculator or trigonometric table, we can find the arctan of -16/6 to determine the angle in radians.

θ ≈ -1.2039 radians

To convert the angle from radians to degrees, we multiply by 180/π (approximately 57.2958).

θ ≈ -1.2039 * 180/π ≈ -68.7548°

Rounding to the nearest hundredth, the direction of the resultant vector is approximately -68.75°.

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Answer:

$460.

Step-by-step explanation:

\(Percentage\ change = (\frac{Original\ Price\ - Discounted\ Price}{Original\ Price})100\\\\15=(\frac{x-391}{x})100\\\\15x=(x-391)100 \\\\15x/100=x-391\\0.15x=x-391\\391=x-0.15x\\391=0.85x\\391/0.85=x\\460=x\\\)

So the price yesterday was $460

Answer:

Trinomial

Basic

Answer:

X = 1

Step-by-step explanation:

1) Move the 3x to the left hand side and change its sign:

4x-19+3x=-12

2) Move 19 to the right hand side and change its sign:

4x+3x=-12+19

3) collect the like terms:

4x+3x= 7x

-12+19= 7

4) Divide both sides by 7

X = 1

Answer:

4x − 19 = −3x − 12

Let's first get rid of any constants, either from the left or right side.

I'll start with the left, by using the inverse operations.

The inverse operation of subtraction (since 19 is negative) is addition.

So, we add 19 to both sides.

Remember that whenever we use inverse operations we need to do the same for the other side, consequently both sides.

+19             +19

Now, we'll end up with:

4x = -3x + 7

Let's get rid of other terms(grouping them), such as -3x.

We do this by adding 3x to both sides because the inverse operation of subtraction (since 3 is negative) is addition.

Add 3x to both sides,

+3x     +3x

7x = 7

Get rid of the co-efficient of x, which is 7.

We do this by dividing by 7 from both sides since the inverse operation of multiplication (because 7 is being multiplied by x) is division.

Divide by 7 from both sides:

÷7 ÷7

x = 1, the value of x is 1.

Approximately 34.1% of students earn a score between 75% and 89%.
the correct answer is 34.1%.

Approximately what percent of students earn a score between 75% and 89%?

To solve this problem, we need to calculate the area under the normal distribution curve between 75% and 89%.
First, we need to convert the scores into z-scores using the formula:
z = (x - mean) / standard deviation

For 75%, the z-score is (75 - 89) / 14 = -1
For 89%, the z-score is (89 - 89) / 14 = 0

Next, we use a standard normal distribution table or calculator to find the area under the curve between these two z-scores.

The area between -1 and 0 is approximately 0.3413, which is equivalent to 34.1%.

Therefore, approximately 34.1% of students earn a score between 75% and 89%.

So the correct answer is 34.1%.

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The perimeter of the regular nonagon with a radius of 19 is 58.3 units.

The nonagon's center, designated by the letter O, has a radius of 19; the distance from O to any vertex is therefore equal to the radius:

sin(20) = s / 19

We then solve for  s:

s = 19 * sin(20)

s = 6.4807

We find the length of one side by multiplying it by 9:

Perimeter = 9 * s

perimeter=  9 * 6.4807

perimeter = 58.3263

In conclusion, a nonagon is  described as  a nine sided polygon and it is also called an Enneagon or 9-gon.

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The approximate percentage training hours are delivered online is 30%

What is percentage ?

A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.", "pct.", and occasionally "pc" are also used to indicate it, while the percent symbol, "%," is most frequently employed. A % has no dimensions and no standard measurement.

10%, a comparative figure denoting one hundredth of any quantity. One percent (symbolized as 1%), being the hundredth component, is represented as 100 percent, while 200 percent signifies twice the amount specified.

Calculating a percentage involves dividing an item by its sum and multiplying the result by 100. (Value/Total Value)100% is the formula used to calculate percentages.

The amount of hours remitted online are 25.6% in 2018 reports

It has reduced from last year , it has been reported 28.6% in 2017 and 30.4% in 2016

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Answer:

Future Value= 8,927

Step-by-step explanation:

Giving the following information:

Present Value (PV)= 7,700

Growth rate (g)= 3%

Number of periods (n)= 5 years

To calculate the future value (FV) of the population after 5 years, we need to use the following formula:

FV= PV*(1 + g)^n

FV= 7,700*(1.03^5)

FV= 8,927

Step-by-step explanation:

i wanna help but i cant see can you copy and paste the question

Answer:

Step-by-step explanation:

y=5x-2

slope of the line is 5 because if we compare to

y=mx+b where m is the slope we see m=5

Points (0,-2), (2,8), (4,18)

slope between the points (0,-2), (2,8)

m=(y2-y1)/(x2-x1) = -2-8/0-2 = -10/-2 = 5

slope between the points (4,18), (2,8)

m=(y2-y1)/(x2-x1) = 18-8/4-2 = 10/2=5

slope between the points (4,18), (0,-2)

m=(y2-y1)/(x2-x1) = 18+2/4-0= 20/4 =5

Answer:

Least Common Multiple of 3 , 4 and 7 is 84 .

Step-by-step explanation:

Answer:

your answer is 20

hope this helped you

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