Which equation matches this table?

X 1 2 3 7 8
Y 6 12 18 42 48

A. y = x ÷ 6

B. y, = , x, - 6

C. y = 6x

D. y, = , x, + 6

The limit of the function 2cosx as x approaches infinity does not exist.

Explanation: -

The limit of 2cos(x) as x approaches infinity is undefined or DNE. This is because the cosine function oscillates between -1 and 1 as x increases indefinitely. Therefore, the product of 2 and cos(x) also oscillates between -2 and 2, never approaching a specific value or limit.

To better understand why the limit is undefined, consider the definition of a limit: a limit exists if the function approaches a single value as the input approaches a particular value. However, in the case of 2cos(x), the output values fluctuate between -2 and 2, never settling down to approach a single value.

In mathematical terms, we can show that the limit of 2cos(x) as x approaches infinity is undefined using the ε-δ definition of a limit.

Suppose we take ε = 1/2. Then, for any δ > 0, we can always find x₁, x₂ > δ such that |2cos(x₁) - 2cos(x₂)| = 4|sin((x₁ + x₂)/2)sin((x₁ - x₂)/2)| ≥ 2 > ε. This violates the definition of a limit, which requires that for any ε > 0,

there exists a δ > 0 such that |2cos(x) - L| < ε whenever 0 < |x - c| < δ. Therefore, the limit of 2cos(x) as x approaches infinity is undefined or DNE.

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b. Linear programming model is the correct option.

A linear programming model is a mathematical technique used to find the best outcome in a given set of constraints. In this case, Manders Manufacturing Corporation is trying to determine the optimal product mix for its two products, metal (M) and scrap metal (S), based on certain constraints. The objective is to maximize the profit, represented by the function Z = $30M + $70S.

The constraints are represented by the inequalities:

3M + 2S ≤ 15

2M + 4S ≤ 18

These constraints define the limitations on the production of metal and scrap metal. The model aims to find values of M and S that satisfy these constraints while maximizing the objective function.

Using linear programming techniques, the corporation can solve this model to find the optimal values for M and S that will maximize their profit. This approach allows them to make data-driven decisions and allocate their resources efficiently. By formulating the problem as a linear programming model, Manders Manufacturing Corporation can make informed choices about the optimal product mix to achieve their business objectives.

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Answer:

The awnser is eleven hope this helps a bit

Answer:

11

Step-by-step explanation:

The first conditional form, "If an angle is an acute angle, then its measure is 88°," is false .

The second conditional form, "If an angle does not have a measure of 88°, then the angle is not an acute angle," is true.

The third conditional form, "If an angle is not an acute angle, then its measure is not 88°," is false.

The fourth conditional form, "If an angle has a measure of 88 then it is an acute angle," is also false.

The original statement is true because an angle with a measure of 88° is indeed an acute angle. An acute angle is defined as an angle whose measure is between 0° and 90°, and 88° is within this range.

The first conditional form, "If an angle is an acute angle, then its measure is 88°," is false because there are many different measures that an acute angle can have. An acute angle can have any measure between 0° and 90°, not just 88°.

The second conditional form, "If an angle does not have a measure of 88°, then the angle is not an acute angle," is true. This is because 88° is a specific measure that only applies to acute angles, so any angle that does not have a measure of 88° cannot be an acute angle.

The third conditional form, "If an angle is not an acute angle, then its measure is not 88°," is false. There are many different measures that a non-acute angle can have, and 88° is just one of them. So, an angle that is not acute may or may not have a measure of 88°.

The fourth conditional form, "If an angle has a measure of 88 then it is an acute angle," is also false. While an angle with a measure of 88° is indeed an acute angle, an angle can have a measure of 88° and still not be an acute angle. For example, an angle with a measure of 88° could be a reflex angle, which is not an acute angle.

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Answer:

Step-by-step explanation: the correct answer is c if not c than a

Answer:

f(x)=3x

Step-by-step explanation:

use y2-y1/x2-x1 to find slope

-3-(-9)/-1-(-3)

6/2

3 is the slope

Only equation with slope of 3 is f(X)=3x or A

Hopes this helps please mark brainliest

Answer:

The evening temperature is 4° F

Step-by-step explanation:

6° F below 0 =  -6.

15° F. -6 + 15 is 9.

9° F. 5° F. 9 - 5 = 4

36

9x4=36

so thats the answer

Answer:

a = - 3

Step-by-step explanation:

Since the point (- 3, 2) is on the line then its coordinates make the equation true.

Substitute x = - 3, y = 2 into the equation and solve for a

a(- 3) - 2(2) = 5, that is

- 3a - 4 = 5 ( add 4 to both sides )

- 3a = 9 ( divide both sides by - 3 )

a = - 3

Answer:

Step-by-step explanation:

-3x-2•2=5

-3x=5+4

-3x=9

X=9:(-3)

X=-3

Answer:

See the attachment

Step-by-step explanation:

Please review the images before posting them.  This was very difficult to read, so review my responses carefully.

Ratios are the same if both the numerator and denominator are multiplied or divided by the same number.

1/2 is the same as 5/10, since both were multiplied by 5 ((1*5)/(2*5))

Fractions (ratios) can be shown to be equivalent if the numerator and denominator can both be multiplied or divided by the same number to reach the reference ratio.  

8/14 is equivalent to 4/7 since (8/2)/(14/2) = 4/7

Answer:

3p - q = 3(2-5) - (8x3) = -9 - 24 = -33. Therefore, 3p-q=-33.

Answer:

3

Step-by-step explanation:

bc they do

Answer:

a. 4

Step-by-step explanation:

Copy and paste this:

I now that the area is: A = b×h/2, so: 16 = (x+4)(x)/2

-> x²+4x-32=0 -> x= -8 and x=4

x = -8 is impossible, so x=4

Answer: A. 4

Step-by-step explanation:

The equation for the area of a triangle is height times( base divided by 2)

4 + 4 = 8

8/2 is 4

4 times 4 is 16

Answer:

-1 1/2, 3

Step-by-step explanation:

Answer:

KILOLITER

Step-by-step explanation:

Answer milliletres

Step-by-step explanation:

The longer route is 4 miles further than the shorter route.

According to the concept, the square of the hypotenuse of a right triangle equaled the square of the other sides. The formula is

\(c^{2} = a^{2} + b^{2}\),

where c is the hypotenuse length and a and b are the other two sides' lengths.

Calculate the difference between the longer route and the shorter route:

By using the Pythagorean theorem,\(c^{2} =a^{2} +b^{2}\)

Your hypotenuse is the straight path from Crimson to Sunshine, and your legs are the roadways to and from Happy Ville. \(c^{2} =6^{2} +8^{2}\)

Take the square root of both sides of the equation to eliminate the exponent on the left side: \(c=\pm \sqrt{6^{2}+8^{2}}\)

Raise 6 to the power of 2:\(c=\pm \sqrt{36+8^{2}}\)

Raise 8 to the power of 2: \(c=\pm \sqrt{36+64}\)

Add 36 and 64: \(c=\pm \sqrt{100}\)

Rewrite 100 as \(10^{2}\)

\(c=\pm \sqrt{10^{2}}\)

Pull terms out from under the radical, assuming positive real numbers.

\(c=\pm 10\)

So the distance between Crimson and Sunshine is 10 miles.It asks for the shortest path, either to Happy ville and then to Sunshine (through the legs) or to Sunshine immediately (hypotenuse),

Legs = 6+8 = 14

Hypotenuse = 10

So getting straight to Sunshine would be faster than going to Happyville than Sunshine because going straight to Sunshine is 10 miles against 14 miles for going to Happyville than sunshine.The longer path was 14 miles, while the shorter way was 10 miles, so subtract the two.14−10  = 4Hence, the longer route is 4 miles further than the shorter route.

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Ratio analysis can be made more meaningful in all the following ways except by focusing more on long-term solvency than on short-term solvency.

Ratio analysis is a mathematical technique for analyzing a company's financial documents, such as the balance sheet and income statement, to gather knowledge about its liquidity, operational effectiveness, and profitability. Fundamental equity research is built on ratio analysis.

In order to get insights into profitability, liquidity, operational effectiveness, and solvency, ratio analysis examines line-item data from a company's financial statements.

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The full question:

ratio analysis can be made more meaningful in all the following ways except by?

Answer:

12

Step-by-step explanation:

12+3=15

\(Ainsley \: walked \: in \: \frac{1}{3} \: \: of \: a \: day \ \: = \frac{3}{5} mile\)

\( = \frac{1}{3} \times 24 = \frac{3}{5} \)

\(8 \: hours = \frac{3}{5} \: miles\)

\(Sarah \: walked \: in \: \frac{2}{6} of \: a \: day \: = \frac{5}{8} miles\)

\( \frac{2}{6} \times 24 = \frac{5}{8} \)

\(8 \: hours \: = \frac{5}{8} \: miles\)

Let us see who walked more :

\(Ainsley \: walked \: = \frac{3 \times 8}{40} \)

\( = \frac{24}{40} \: miles\)

\(Sarah \: walked \: = \frac{5 \times 5}{40} \)

\( = \frac{25}{40} \: miles\)

\( \frac{24}{40} < \frac{25}{40} \)

Sarah walked farther than Ainsley .

\( \frac{25}{40} - \frac{24}{40} = \frac{1}{40} \: miles\)

∴ Sarah walked farther than Ainsley by 1/40 miles .

Answer:

115 lbs = 52.16 kilograms

Step-by-step explanation:

115 pounds is a little over 52kg

Answer:

The given figure is:

a. Polyhedron

c. prism

d. solid

Step-by-step explanation:

First of all, let us consider the given image.

It is a 3 dimensional figure.

It has 2 equal bases which are pentagonal.

Its faces are made along the sides of the bases and are rectangular in shape.

Now, let us classify the given image in following:

a. Polyhedron:

A polyhedron is a 3-D (three dimensional) shape in which there are flat faces.

The faces can be of 'n' number of edges (Polygonal faces).

Its edges are straight, has sharp corners which are also known as vertices.

The given image is a polyhedron as per above definition.

b. Pyramid:

It is also a 3D shape which can have a polygonal base and its faces are triangular which converge on the top to one point.

The given image does not converge to a point on the top, so not a pyramid.

c. Prism:

It is a 3D shape which has it two bases as polygonal structure.

The two bases are equal in shape and size.

There are faces on the body of prism which are formed by joining the edges of the bases.

The given image is a prism with pentagonal bases.

d. Solid:

Any 3D image is called a solid and has a length, width and height.

So, the given image is a Solid.

e. Cube:

Cube is a 3D figure, which has all its faces in square shape.

All the sides are equal for a cube.

The given image is not a cube.

f. Polygon:

A polygon is a closed figure in 2 dimensions which has n number of sides.

The given image is not a polygon.

Answer: The given figure is:

a. Polyhedron

c. prism

d. solid

The given figure is a Polyhedron, prism and solid.

A polyhedron is a three-dimensional geometry having plane surfaces connected together with sharp edges and pointed vertices.

First of all, let us consider the given image. It is a 3-dimensional figure. It has 2 equal bases which are pentagonal. Its faces are made along the sides of the bases and are rectangular in shape.

Now, let us classify the given image in the following:

a. Polyhedron:

A polyhedron is a 3-D (three dimensional) shape in which there are flat faces. The faces can be of 'n' number of edges (Polygonal faces). Its edges are straight, has sharp corners which are also known as vertices. The given image is a polyhedron as per the above definition.

c. Prism:

It is a 3D shape which has it two bases as a polygonal structure.The two bases are equal in shape and size. There are faces on the body of prism which are formed by joining the edges of the bases. The given image is a prism with pentagonal bases.

d. Solid:

Any 3D image is called a solid and has a length, width and height. So, the given image is a Solid.

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Answer: 45.825353255

Step-by-step explanation:

B, C, A are collinear because they lie on the same line.  

D, C, A are not collinear because they do not lie on the same line

Answer:

Domain is all the x values while range is all the y values. Im not sure if you're supposed to tell you how to do it or do it for you so... good luck

Step-by-step explanation:

Answer:

domain: [-1, infinity)

range: ( - infinity, 1]

Step-by-step explanation:

the domain is the set of x values in a function and range is the y values.

Step-by-step explanation:

For RIGHT trianges

sin Φ = opposite leg / hypotenuse

for THIS triangle

sin m =  6 sqrt(2) / 9   = 2/3  sqrt (2)    <=======exact value

                                   = .9428    <======four decimal value

Answer:

i think that the answer is 149

Answer:

2

Step-by-step explanation:

Answer: 22

Step-by-step explanation:

I got it right on khan academy

The value of the expression 6 ÷ 3 + 9² - 4 is 79.

We have,

To evaluate the expression 6 ÷ 3 + 9² - 4, we follow the order of operations, which is typically represented by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).

The expression does not have any parentheses or exponents, so we move to the next step:

6 ÷ 3 + 9² - 4 = 2 + 9² - 4

Next, we perform the exponentiation:

2 + 9² - 4 = 2 + 81 - 4

Then, we perform the addition and subtraction from left to right:

2 + 81 - 4 = 83 - 4

Finally, we perform the subtraction:

83 - 4 = 79

Therefore,

The value of the expression 6 ÷ 3 + 9² - 4 is 79.

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Sample size required is 333, 42, 97 and 33,285, respectively using  confidence level and different parameters of standard deviation.

To estimate a population mean to within 40 units with 99% confidence and a population standard deviation of 200, the sample size required can be calculated using the formula

n = (Zα/2)² * (σ²) / (E²)

where Zα/2 is the z-score corresponding to the desired level of confidence (99% in this case), σ is the population standard deviation, and E is the desired margin of error (40 units).

Plugging in the values, we get

n = (2.576)² * (200)²/ (40)²

n = 332.84

Therefore, a sample size of at least 333 should be used.

If the population standard deviation is changed to 50, the same formula can be used with the new value of σ:

n = (2.576)² * (50)²/ (40)²

n = 41.68

Therefore, a sample size of at least 42 should be used.

If using a 95% confidence level, the z-score changes to 1.96

n = (1.96)² * (200)²/ (40)²

n = 96.04

Therefore, a sample size of at least 97 should be used.

To estimate the population mean to within 10 units, the margin of error (E) is changed to 10 in the formula, and the sample size is recalculated

n = (2.576)² * (200)² / (10)²

n = 33,284

Therefore, a sample size of at least 33,285 should be used.

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The required sample size should be 166 to estimate the population mean within 40 units with 99% confidence, given a population standard deviation of 200.

To determine the required sample size for estimating a population mean with a given level of confidence and margin of error, we can use the formula:

n = (Z * σ / E)^2

Where:

n = Sample size

Z = Z-score corresponding to the desired confidence level (in this case, 99% confidence corresponds to a Z-score of 2.576)

σ = Population standard deviation

E = Margin of error (in this case, 40 units)

Substituting the given values into the formula, we have:

n = (2.576 * 200 / 40)^2

Simplifying further:

n = (12.88)^2

n ≈ 165.6544

Since the sample size must be a whole number, we round up the value to the nearest integer:

n = 166

Therefore, the required sample size should be 166 to estimate the population mean within 40 units with 99% confidence, given a population standard deviation of 200.

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Answer:

c=1875/15

Explanation:

The equation to find the cost of each monitor is given as:

To write a division equation that can be used to find the cost of each computer monitor, we divide each side of the equation by 15.

Answer:

x>-2

Step-by-step explanation:

An open circle implies that the solution cannot be equal to, therefore options A and D are incorrect. Since the shows the arrow pointing towards the left that means all solutions greater than -2 are correct. Therefore, x>-2.