What are the domain and range of y=sec x? select one choice for domain and one for range.

Its 200%

2.00 is 100% of $2.00. So, $4.00 is 200% of $2.00, or double

Yes, the flights can take off at this temperature.

Temperature is a physical quantity that expresses quantitatively the perceptions of hotness and coldness.

Given is that on a normal day the temperature at an airport is 20ºF.

Yes, flights can take off at this temperature. Commercial airplanes can cruise at an altitude of nearly 40,000 feet, where temperatures hover around -70 degrees Fahrenheit.

Therefore, Yes, the flights can take off at this temperature.

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{Complete question in english -

On a normal day the temperature at an airport is 20ºF. Indicate if the flights will be able to take off. Explain}

The number of edges that the prism has is

When a plane intersects a prism, the shape formed is known as the cross section. The cross section of the prism will have the same form as the base if it is divided by a plane that runs horizontally and parallel to the base.

A prism is a 3-dimensional object with two congruent and parallel bases (which are polyggonal) connected by rectangular lateral faces. The number of edges of a prism is equal to the sum of the number of edges of the two bases and the number of lateral faces.

Each base of the prism has n edges, so the two bases together have 2n edges. The number of lateral faces of the prism is equal to the number of edges of one of its bases, so there are n lateral faces. Each lateral face has 4 edges, so the total number of edges of the lateral faces is 4n.

Therefore, the total number of edges of the prism is equal to the sum of the number of edges of the two bases (2n) and the number of lateral faces (4n), which is 2n + 4n = 6n.

In conclusion, the cross section of a prism is an n-sided polygon and the prism has n + 2 edges.

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Answer:

Bank Of Trust

Step-by-step explanation:

The equation of the line passing through the given points  y=3-(x-3)

Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.

Given here: The point (3,3) and (4,2)

Using the two point form to construct the line that passes through both the points by following the standard equation. Point-slope is the general form y-y₁=m(x-x₁) for linear equations. It emphasizes the slope of the line and a point on the line (that is not the y-intercept).

Thus

y-3=2-3/4-3 (x-3)

y-3=-1(x-3)

y-3=-x+3

y+x=6

or it can also be rearranged as y=3-(x-3)

Thus the equation of the line that passes through the two given points is y=3-(x-3)

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The values of the spaces in columns are x,a,b,c,y which is equal to 0.46, 0.43, 0.06, 0.11, 0.51 respectively

Remember that the probability of the certainty of an event is equal to 1

Lethe spaces be labelled according to the table:

                      right hand          left hand         total

7th grade          x                           0.05             y

8th grade          a                              b              0.49

Total                 0.89                          c               1.00

To find the value of y:

y + 0.49 = 1.00

Making y the subject of the relation

y = 1.00-0.49

y = 0.51

To find the value of x:

x + 0.05 = 0.51

Making x the subject of the formula

x = 0.51-0.05

x= 0.46

To find the value of a:

x+a = 0.89

0.46+a = 0.89

Making a the subject we have

a = 0.89-0.46

a = 0.43

To find the value of b:

0.43+b = 0.49

Making b the subject of the relation

b= 0.49-0.43

b= 0.06

To find the value of c:

0.89+c = 1.00

Collecting like terms

c = 1.00-0.89

c= 0.11

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the condition number of your matrix is about . what could your worst-case relative error in the solution be due to your use of the wrong equation  s = (w − rh)/c

Undo what is done to the variable. It is multiplied by c and rh is added to that product.

 cs +rh = w . . . . . given

 cs = w -rh . . . . . undo the addition of rh: add -rh to both sides

 s = (w -rh)/c . . . . undo the multiplication by c: divide both sides by c

Additional comment

Each entire side of the equation is divided by c. That means the entire expression (w-rh) is divided by c. It is incorrect to write that division as w-rh/c. The division bar (/) in plain text only refers to the immediately preceding and the immediately following tokens as its operands. When the expression is typeset, the division bar serves as a grouping symbol, showing you the entire numerator.

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Answer:

20%

Step-by-step explanation:

the question for this problem is basically 32/160*100

32/160=1/5=0.2. We need to make it into a percent so 0.2*100= 20%

Answer:

Step-by-step explanation:

(i) We know that more is the number of workers to do a job, less is the time taken to finish the job.

So, it is a case of inverse proportion.

(ii) Considering uniform speed, as the distance to be travelled increases, the time taken to cover it will also increase.

So, this is a case of direct variation.

(iii) Clearly, more is the area of cultivated land, more is the crop harvested.

So, it is a case of direct proportion.

(iv) We know that the more will be the speed of the vehicle, the distance will be covered in lesser time.

So, it is a case of inverse proportion.

(v) Clearly, more is the population, less is the area of land per person in a country.

So, it is a case of inverse proportion.

Answer:

Step-by-step explanation:

If y = 27 when x = 6, write the direct variation equation. If y = -7 when x = -14, write the direct variation equation and find y when x = 20. If x = 8 when y = 4, write the direct variation equation and find y when x = 5. y = 1/6x; If x = 36 when y = 6, find x when y = 42. If y = -16 when x = 4, find x when y = 20.

The number of students present at the dinner is 17

As stated in the question, a group of students had dinner at a local restaurant.

The total bill for the dinner was $364.99 and each student paid an equal share of the bill which is $21.47. according to the question we have to find the number of students present at the dinner,

To find the number of students we have to divide the total bill by the amount paid by each student,

Let the number of students who were present at the dinner be x

Now number of students = total bill/amount paid by each student

Hence, x = $364.99 ÷ $21.47

So the value of x is 17

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If the mode is 1 , the largest number of x is 11

If the mode is 2, the smallest number of x is 13

The mode of a set of data is the most frequent item in the set. For example , The mode of {4 , 2, 4, 3, 2, 2} is 2 because it occurs three times, which is more than any other number.

Therefore the mode of a set is the item that appeared most in the set.

In the table above , the table shows the number of students that read books

4 students reads 0 and 12 reads 1.

If 1 is the mode of the data, it means the highest possible value of x should be less than 12 l, which is 11.

If the mode is 2, the smallest number of x, should be greater than x which is 13

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Answer:

Ariana's percentage of lemon cups is 85%.

Andre's percentage of lemon cups is 48%.

Step-by-step explanation:

Ariana:

Lemon cups = 17

Total cups = 17 + 3 = 20

Percent of lemon cups.

= 17/20 x 100

= 17 x 5

= 85%

Andres:

Lemon cups = 10

Total cups = 11

Percent of lemon cups. = 10/21 x 100 = 48%

The required unknown fraction for four-tenths plus thirty-eight hundredths equals seventy-eight hundredths. Option C is correct.

A fraction is a mathematical concept that can be used to express a portion of a whole or a number that can be written as the ratio of two integers. In a fraction, the top number is referred to as the numerator, while the bottom number is referred to as the denominator.

Here,

The unknown fraction can be found by adding the given fractions:

=4/10 + 38/100
= [40 + 38]/100
= 78/100

Thus, the unknown fraction is seventy-eight hundredths.

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The empirical rule states that for a normal distribution, approximately 68% of the data will fall within one standard deviation of the mean.

Approximately 95% of the data will fall within two standard deviations of the mean, and approximately 99.7% of the data will fall within three standard deviations of the mean.

If we have a sample of 200 numbers drawn from a normal distribution with mean 50 and standard deviation 10, then using the empirical rule we would expect:

Approximately 68% of the data to fall between 50 - 10 = 40 and 50 + 10 = 60

Approximately 95% of the data to fall between 50 - 2 * 10 = 30 and 50 + 2 * 10 = 70

Since we consider any number greater than 70 to be an outlier, we would expect approximately 0.03 * 200 = 6 outliers in our sample of 200.

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Answer:

Step-by-step explanation:

The distance between Woozy Wheel and the Roller Rail is 13 units.

Coordinates are the set of points in a geometrical plane or space, which is used to denote the exact point in the coordinate plane or space.

Distance between two points (x, y) and (x', y') is,

D = √[(x' - x)² + (y' - y)²]

Coordinates of Woozy Wheel = (-14, 1)

Coordinates of Roller Rail = (-2, -4)

Distance = √ [(-2 - -14)² + (-4 - 1)²]

               = √ [(12)² + (-5)²]

               = √169

               = 13 units

Hence the required distance is 13 units.

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The distance between the Woozy Wheel and the Roller Rail is 13 units.

The correct option is D.

Distance between two points with coordinates (x₁ , y₁)  and (x₂ , y₂). is given by

D = √[(x₁ - x₂)² + (y₁ - y₂)²]

This formula is derived from the Pythagoras Theorem, as the points form a right triangle in plane, with the hypotenuse representing the distance between them.

The coordinates of the Woozy Wheel and the Roller Rail are:

Woozy Wheel: (-14, 1).

Roller Rail: (-2, -4).

Hence the distance between these two points is given as follows:

D = √[(-14 - -2)² + (1 - -4)²]

D = √(-12² + 5²)

D = √(144 + 25)

D = √169

D = 13

Hence, 13 units is the distance between Woozy Wheel and Roller Rail.

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LHL is equal to RHL then limit exist

LHL is not equal to RHL then limit does not exist.

As per the given data the graph of the function is given

Here we have to determine the limit at the indicated value of a, if it was exists.

You may have found the limit from one side instead of from both sides as notated.

Now we have to find:

[tex]$\lim _{x \rightarrow a} f(x)$[/tex] when a = 1

We find the left hand side limit and the right hand side limit at a = 1

So,

The Left hand limit is [tex]$\lim _{\mathrm{x} \rightarrow 1^{-}} \mathrm{f}(\mathrm{x})=\frac{3}{2}$[/tex]

The Right hand limit is [tex]$\lim _{x \rightarrow 1^{+}}[/tex] f(x) = 3

Here [tex]$\lim _{x \rightarrow 1^{-}} f(x) \neq \lim _{x \rightarrow 1^{+}} f(x)$[/tex]

Hence [tex]$\lim _{x \rightarrow a}[/tex] f(x) = DNE

From the graph we find the left hand limit and the right hand limit:

If Left hand limit = Right hand limit then limit exist

If then Left hand limit ≠ Right hand limit then limit does not exist.

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Use the graph of the given function f to determine the limit at the indicated value of a, if it exists.(If an answer does not exist, enter DNE.)

Graph attached at the end of solution

you may have found the limit from one side instead of from both sides as notated. how might you consider the limit as x approaches a from both sides?

The equation of line which describe how x and y are related is,

⇒ y = 5x + 3

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the table are (-1, -2) and (0, 3).

Now,

Since, The equation passes through the points (-1, -2) and (0, 3).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (3 - (-2)) / (0 - (-1))

m = 5 / 1

m = 5

Thus, The equation of line with slope 5 is,

⇒ y - (-2) = 5 (x - (-1))

⇒ y + 2 = 5 (x + 1)

⇒ y + 2 = 5x + 5

⇒ y = 5x + 5 - 2

⇒ y = 5x + 3

Therefore, The equation of line passes through the points (-1, -2) and

(0, 3) will be;

⇒ y = 5x + 3

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Answer:

$1,000 to the nearest dollar

Step-by-step explanation:

We can use the formula for compound interest to calculate the amount that Khalil would need to invest:

A = P * (1 + r/n)^(nt)

where A is the final amount, P is the initial amount (the amount invested), r is the interest rate as a decimal (6.6% = 0.066), n is the number of times compounded in a year (daily = 365), t is the number of years, and ^ is the exponent operator.

We want to find P, so we can rearrange the formula:

P = A / (1 + r/n)^(nt)

Plugging in the values:

P = $1,470 / (1 + 0.066/365)^(365 * 9)

Calculating this expression to the nearest dollar, we get P = $1,000.

So, Khalil would need to invest $1,000, to the nearest dollar, in order for the value of the account to reach $1,470 in 9 years

In mass, the weight more than aluminum that the iron piece weighs is 2 pounds

First, convert the weight of the pieces to improper fractions by multiplying the denominator with the mixed portion of the fraction and then adding the numerator.

The weight of the iron piece is:

= ( 9 x 8 + 3 ) / 8

= 73 / 8 pounds

The weight of the aluminum piece is :

= ( 7 x 8 + 1 ) / 8

= 57 / 8 pounds

The difference in weight is:

= 73 / 8 - 57 / 8

= 16 / 8

= 2 pounds

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The area of the circle is 530.66 cm².

A circle is a two-dimensional figure with a radius and circumference of 2πr.

The area of a circle is πr².

We have,

Radius = 13 cm

π = 3.14

Now,

Area = πr²

Area = 3.14 x 13²

Area = 3.14 x 169

Area = 530.66 cm²

Thus,

The area is 530.66 cm².

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There can be a maximum of 1183 bags, each containing 5 red cubes and 5 blue cubes.

Let x be the number of red cubes in each bag and y be the number of blue cubes in each bag. Then, the number of red cubes in all bags is 5915/x, and the number of blue cubes in all bags is 1715/y.

Since the number of cubes in each bag is the same and there will not be any cubes left over, we must have 5915/x = 1715/y = z, where z is the number of bags.

To find the greatest value of z, we need to find the greatest common factor (GCF) of 5915 and 1715. We can use the Euclidean algorithm:

5915 = 1715 × 3 + 720

1715 = 720 × 2 + 275

720 = 275 × 2 + 170

275 = 170 × 1 + 105

170 = 105 × 1 + 65

105 = 65 × 1 + 40

65 = 40 × 1 + 25

40 = 25 × 1 + 15

25 = 15 × 1 + 10

15 = 10 × 1 + 5

10 = 5 × 2 + 0

The GCF of 5915 and 1715 is 5, so each bag will contain 5 red cubes and 5 blue cubes. The number of bags is z = 5915/5 = 1183.

Therefore, there can be a maximum of 1183 bags, each containing 5 red cubes and 5 blue cubes.

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The minimum number of degrees needed to carry the pentagon onto itself is 72.

A polygon having 5 sides and 5 angles are called a pentagon. Two terms, Penta and Gonia, both of which denote five angles, combine to form the word "pentagon." From end to end, the sides of a pentagon come together to form a shape. Consequently, there are five sides to a pentagon. The Pentagon has five sides, as far as we know.

Any polygon's outside angles now total 360 degrees. The minimal number of degrees needed to carry the pentagon inward is therefore = 360/5 = 72° if we rotate the pentagon counterclockwise around its center.

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Answer:

Variable

Step-by-step explanation:

23. g(x)=3(2x+3) has a slope of 6 and y-intercept of 9.

24. g(x)=2(0.5x) +3 has a slope of 1 and y-intercept of 3.

25. g(x)=1(2x+3) has a slope of 2 and y-intercept of 3.

26. g(x)=2(1)x+3 has a slope of 2 and y-intercept of 3.

The value of k in the linear function g(x)=k(mx+b) affects the slope of the function by multiplying the slope of the original function m by k. The y-intercept of the function remains unchanged.

23. g(x)=3(2x+3) can be written as g(x)=6x + 9. This shows that the slope of the function is 6 and the y-intercept is 9.

24. g(x)=2(0.5x) +3 can be written as g(x)=x + 3. This shows that the slope of the function is 1 and the y-intercept is 3.

25. g(x)=1(2x+3) can be written as g(x)=2x + 3. This shows that the slope of the function is 2 and the y-intercept is 3.

26. g(x)=2(1)x + 3 can be written as g(x)=2x + 3. This shows that the slope of the function is 2 and the y-intercept is 3.

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Answer: 3

Step-by-step explanation:

Subtract the cost of paperback books from Jonelle's total amount.

(22.50 - 4.50)

Then, you'll get ($18).

Divide (18) by the number of hardcover books.

(18/6)

Finally, you'll get $3 for the cost of each hardcover book.

Quantitative measurement, as it involves counting or measuring numerical values

Quantitative measurement involves collecting and analyzing data that is expressed in numerical form. This type of measurement is often used to measure physical or behavioral characteristics, such as the number of completed written homework assignments, the number of completed arithmetic problems, or the number of thrown pencils. Quantitative measurement involves quantifying or assigning numerical values to certain characteristics. These numerical values are then used to compare different individuals or groups, or to measure changes over time. This type of measurement allows for reliable and valid data to be collected, which can be used to draw valid conclusions about the characteristics being measured.

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The output y in terms of x is y > x/7.

An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made;

Polynomial inequality, rational inequality, and absolute value inequality are the various types of inequalities that can exist in mathematics;

Given;

The equation;

x/4+3 = y

Now, y = x/7

y>x/7

Therefore, the inequality will be y>x/7;

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The solution is, for, x = -1, 0, 1, 3, the value of f(x) is, -1, 2, 5, 11.

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

f^-¹(x) = 1/3(x) - 2/3

so, by solving we get,

the real function is,

f(x) = 3x+2

as, we get,

let, y= f^-¹(x)= x/3 - 2/3

i.e. x = 3y+2

so, we get , inverse of f^-¹(x) is, f(x)

now, f(x)= 3x+2

Hence, The solution is, for, x = -1, 0, 1, 3, the value of f(x) is, -1, 2, 5, 11.

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