Find the value of x please and fast!!

Answer:

i can

Step-by-step explanation:

Answer:  b) {-3, 0.5}

Step-by-step explanation:

The new equation is the original equation plus 6.  Move the original graph UP 6 units.  The solutions are where it crosses the x-axis.

\(\text{Original equation:}\quad f(x)=\dfrac{15}{x}-\dfrac{9}{x^2}\\\\\\\text{New equation:}\quad\dfrac{15}{x}+6=\dfrac{9}{x^2}\\\\\\.\qquad \qquad f(x)= \dfrac{15}{x}-\dfrac{9}{x^2}+6\)

+6 means it is a transformation UP 6 units.  

Solutions are where it crosses the x-axis.

The curve now crosses the x-axis at x = -3 and x = 0.5.

Answer:

60°

Step-by-step explanation:

The given 60° angle and angle 2 are alternate interior angles of parallel lines p and q with transversal s, so they are congruent.

m<2 = 60°

Answer:

Based on the alternate interior angle theorem, the measure of angle 2 in the diagram given is: C. 60°

What is the Alternate Interior Angles Theorem?

The alternate interior angle theorem states that the measure of two alternate interior angles are congruent.

Angle 2 and 60° are alternate interior angles, therefore:

Angle 2 = 60° [alternate interior angle theorem].

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Step-by-step explanation:

The difference between constructing perpendicular lines and constructing parallel lines is that Parallel lines are lines in a plane that are been constructed  at the same distance apart and as a result of this they can  never intersect while  Perpendicular lines on the other hand are  lines that intersect at a right which is  (90 degrees) angle.

To construct a perpendicular from a point  at a  given line segment:

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Step-by-step explanation:

-3(1-7v) = 102

÷ -3 ÷ -3

1-7v = -34

-1. -1

-7v = -35

÷-7. ÷-7

v = 5

Answer:

V=5

Step-by-step explanation:

-3(1-7v)=102

-3+21v=102

21v=102

v=5

Answer:

450%

Step-by-step explanation:

Divide 9/2 to get 4.5, then multiply this by 100 to get 450%

Good Luck!

[:

Answer:

1. D) Both b) and c)

2. B) Cosine Law

3. B) Find the measures of angles and sides that we can't physically measure.

Step-by-step explanation:

1. To solve non-right triangles we use Sine Law and Cosine Law.

2. If 3 sides lengths were given and you were asked to find an angle, you would use the Cosine Law.

3.Trigonometry is used in real life to find the measures of angles and sides that we can't physically measure.

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: -1171875

Step-by-step explanation:

From the question,

a = first term = -3

r = common ratio = 5

The ninth term will be:

= ar^8

= -3 × 5^8

= -3 × 390625

= -1171875

Therefore, the ninth term is -1171875.

A beverage company has decided to manufacture a new juice with mixed flavors, which is prepared from orange and pineapple. The vitamin contents are 5% of vitamin A and 2% of vitamin C in the orange flavor, while pineapple flavor contains 8% of vitamin C.

The company's policies are to add at least 20 L of orange flavor to the new juice and limit the vitamin C content to no more than 5%. The cost of orange flavor is $1000 per liter, while the cost of pineapple flavor is $400 per liter.To satisfy a minimum demand of 100 L of juice, we must determine the optimal amount of each flavor to use.A) A linear programming model is needed for the company to solve this problem (Minimize production cost of the new juice)B) Use a graphic solution for this problem.The objective function of the optimization problem can be given as:min C = 1000x + 400yThe constraints that the company has are,20x + 0y ≥ 100x + y ≤ 5x ≥ 0 and y ≥ 0The feasible region can be identified by graphing the inequality constraints on a graph paper. Using a graphical method, we can find the feasible region, and by finding the intersection points, we can determine the optimal solution.The graph is shown below; The optimal solution is achieved by 20L of orange flavor and 80L of pineapple flavor, as indicated by the intersection point of the lines. The optimal cost of producing 100 L of juice would be; C = 1000(20) + 400(80) = $36,000.C) If the company decides that the juice should have a vitamin C content of no more than 7%, it would alter the problem's constraints. The new constraint would be:x + y ≤ 7Dividing the equation by 100, we obtain;x/100 + y/100 ≤ 0.07The objective function and the additional constraint are combined to create a new linear programming model, which is solved graphically as follows: The feasible region changes as a result of the addition of the new constraint, and the optimal solution is now achieved by 20L of orange flavor and 60L of pineapple flavor. The optimal cost of producing 100 L of juice is $28,000.

In conclusion, the optimal amount of each flavor that should be used to satisfy a minimum demand of 100 L of juice is 20L of orange flavor and 80L of pineapple flavor with a cost of $36,000. If the company decides that the juice should have a vitamin C content of no more than 7%, the optimal amount of each flavor is 20L of orange flavor and 60L of pineapple flavor, with a cost of $28,000.

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The radius of convergence, r is 1 and interval of convergence, i, of the series. [infinity] (x − 14)n n2 1 n = 0 is [13, 15), including 13 but excluding 15.

To find the radius of convergence, we can use the ratio test:

lim |(x - 14)(n+1)^2 / n^2| = lim |(x - 14)(n+1)^2| / n^2

= lim (x - 14)(n+1)^2 / n^2

Since the limit of the ratio as n approaches infinity exists, we can apply L'Hopital's rule:

lim (x - 14)(n+1)^2 / n^2 = lim (x - 14)2(n+1) / 2n

= lim (x - 14)(n+1) / n

= |x - 14|

So the series converges if |x - 14| < 1, and diverges if |x - 14| > 1. Therefore, the radius of convergence is 1.

To find the interval of convergence, we need to check the endpoints x = 13 and x = 15.

When x = 13, the series becomes:

∑ [13 - 14]^n n^2 = ∑ (-1)^n n^2

This is an alternating series that satisfies the conditions of the alternating series test, so it converges.

When x = 15, the series becomes:

∑ [15 - 14]^n n^2 = ∑ n^2

This series diverges by the p-test.

Therefore, the interval of convergence is [13, 15), including 13 but excluding 15.

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The derivative of a function represents the rate of change of the function with respect to its variable. This rate of change is described as the slope of the tangent line to the curve of the function at a specific point. The derivative of the cosine function can be found by applying the limit definition of the derivative to the cosine function.

\(f(x) = cos(x) then f'(x) = -sin(x)\).

Let's proceed with the proof.  Definition of the Derivative: The derivative of a function f(x) at x is defined as the limit as h approaches zero of the difference quotient \(f(x + h) - f(x) / h\) if this limit exists. Using this definition, we can find the derivative of the cosine function as follows:

\(f(x) = cos(x) f(x + h) = cos(x + h)\)

Now, we can substitute these expressions into the difference quotient: \(f'(x) = lim h→0 [cos(x + h) - cos(x)] / h\)

We can then simplify the expression by using the trigonometric identity for the difference of two angles:

\(cos(a - b) = cos(a)cos(b) + sin(a)sin(b)\)

Applying this identity to the numerator of the difference quotient, we obtain:

\(f'(x) = lim h→0 [cos(x)cos(h) - sin(x)sin(h) - cos(x)] / h\)

We can then factor out a cos(x) term from the numerator:

\(f'(x) = lim h→0 [cos(x)(cos(h) - 1) - sin(x)sin(h)] / h\)

We can then apply the limit laws to separate the limit into two limits:

\(f'(x) = lim h→0 cos(x) [lim h→0 (cos(h) - 1) / h] - lim h→0 sin(x) [lim h→0 sin(h) / h]\)

The first limit can be evaluated using L'Hopital's rule:

\(lim h→0 (cos(h) - 1) / h = lim h→0 -sin(h) / 1 = 0\)

Therefore, the first limit becomes zero:

\(f'(x) = lim h→0 - sin(x) [lim h→0 sin(h) / h]\)

Applying L'Hopital's rule to the second limit, we obtain:

\(lim h→0 sin(h) / h = lim h→0 cos(h) / 1 = 1\)

Therefore, the second limit becomes 1:

\(f'(x) = -sin(x)\)

Thus, we have proved that if \(f(x) = cos(x), then f'(x) = -sin(x)\).

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Answer:

I want to say it forms a right angle

Step-by-step explanation:

because when you health it out, y-nwould be the height x- would be at sea level

twelve feet high up then flying down at an angle to get a fish twelve feet away would give a right angle

The formula for the number of edges in a complete graph with n vertices is given by E= (n * (n-1))/2. We can simplify this expression as follows:E = (n2 - n)/2. So, the answer to the question is (N2 - 1)/2.

In a complete graph, each vertex is connected to all other vertices. Therefore, to find the number of edges in a complete graph, Kn, we need to consider the number of ways of choosing two vertices from the set of n vertices and connecting them.So, the formula for the number of edges in a complete graph with n vertices is given by E= (n * (n-1))/2. We can simplify this expression as follows:E = (n2 - n)/2So, the answer to the question is (N2 - 1)/2. Therefore, the correct option is (D).Answer in 120 wordsA complete graph is one in which each pair of distinct vertices is connected by a unique edge. The number of edges in a complete graph is determined by the number of vertices in the graph. To find the number of edges in a complete graph with n vertices, we must first consider the number of ways to choose two vertices from the set of n vertices. After that, we must connect those two vertices.

Each pair of vertices produces an edge in a complete graph, and since the edges are undirected, we must divide by two to avoid double-counting. The formula for the number of edges in a complete graph with n vertices is given by E= (n * (n-1))/2. We can simplify this expression as follows:E = (n2 - n)/2. So, the answer to the question is (N2 - 1)/2.

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Answer:

X = 12

Step-by-step explanation:

Answer:

x=12

Step-by-step explanation:

(Refer to image)

You want to isolate the x, so you want to get everything away from it that you can till it's alone.

First, you subtract 3 to cancel it out (on both sides)

Then, you multiply 3, since you're dividing it. You want to do the opposite to cancel something out.

If you need clarification or can't read my handwriting, just ask!

The sum of the expressions 2x/5 + 5/8 + x/5 - 1/4 is option b) 3x/8 + 3/8

Here we have 2x/5 + 5/8 + x/5 - 1/4

Now since we have constants as well as variables here, to add these up, we will add the constants and variables separately.

The constants are the ones with just numbers, while the variables are those terms that have the term x with them.

Hence adding up the constants will give us

5/8 - 1/4

The LCM of denominators 8, and 4 is 8

Hence, we get

5/8 - 2/8

= 3/8

Now adding the variable gives us

2x/5 + x/5

= 3x/5

Hence the sum is

3x/5 + 3/8

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Complete Question

2x/5 + 5/8 + x/5 - 1/4

a) 3x/5 + 1/8

b) 3x/5 + 3/8

c) 3x/5 + 5/8

d) 3x/5 + 7/8

It is not equal to any of the options listed: three-fifths x 1/8, three-fifths x 3/8, three-fifths x 5/8, or three-fifths x 7/8.

The expression

(2/5 * 5/8) + (1/5 * x - 1/4)

can be simplified as follows:

2/5 * 5/8 = 1/8

1/5 * x - 1/4 = (1/5 - 1/4) x = -3/20 x

So the expression becomes

1/8 + (-3/20 x) = (1/8 - 3/20 x).

This is not equal to any of the options listed: three-fifths x 1/8, three-fifths x 3/8, three-fifths x 5/8, or three-fifths x 7/8.

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Answer:

51.937515 feet.

Step-by-step explanation:

If she goes across the perimeter, it will be 100 + 80 = 180 feet.

Use pythagoras' theorem to find out the distance of cutting across the gym.

\(100^{2} + 80^{2} = c^{2}\)

10000 + 6400 = \(c^{2}\)

16400 = \(c^{2}\)

\(\sqrt{16400} = c\)

128.062485 = c

180 - 128.062485 = 51.937515

She saves 51.937515 feet of distance by cutting across the gym.

The answer is (a) $10,000.

The total cost of producing 200 units of output can be found by multiplying the output (200 units) by the average total cost (ATC) per unit, which is given as $50. Therefore, the total cost is:

Total Cost = Output x ATC

Total Cost = 200 x $50

Total Cost = $10,000

Therefore, the answer is (a) $10,000.

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Answer:

136

Step-by-step explanation:

Answer:

The given equation for the path of the football is f(x) = -2(x-3)^2 + 56.

This is a quadratic function in the form f(x) = a(x-h)^2 + k, where a, h, and k are constants.

Comparing this equation to the standard form, we can see that a = -2, h = 3, and k = 56.

Since the coefficient of the squared term is negative, the graph of this quadratic function is a downward-facing parabola.

The maximum height reached by the football occurs at the vertex of the parabola.

The x-coordinate of the vertex is given by x = h = 3.

The y-coordinate of the vertex is given by f(h) = k = 56.

Therefore, the maximum height reached by the football is 56 feet.

Step-by-step explanation:

Answer:

Maximum height = 56 feet

Step-by-step explanation:

The equation is in the vertex form of the quadratic equation, whose general form is:

y = a(x - h)^2 + k, where

Thus, in the equation f(x) = -2(x -3)^2 + 56, (3, 56) is the equation of the vertex (in this case the maximum) and since f(x) represents the height in feet, the max height reached by the football is 56 feet.

Answer:

25ft

Step-by-step explanation:

15/5 = 3

75/3 = 25

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Answer:

25 ft

Step-by-step explanation:

The kid's shadow is 15/5 = 3 times longer than his height.

Therefore, a tree with a 75 ft shadow should be 3 times shorter than its shadow.

=> 75/3 = 25 ft

Given that K is the midpoint on segment JL, the numerical value of segment JL is 54.

A midpoint is simply a point that divides a segment into two equal halves.

Given the data in the question;

Given that K is the midpoint on segment JL, this means segment JK is divided into two equal halves, Segment JK is equal to Segment KL.

Segment JK = Segment KL

8x + 11 = 14x - 1

Collect like terms

8x - 14x = -1 - 11

-6x = -12

x = -12/-6

x = 2

Hence, the numerical values of Segment JK and Segment KL will be;

Segment JK = 8x + 11 = 8(2) + 11 = 16 + 11 = 27

Segment KL = 14x - 1 = 14(2) - 1 = 28 - 1 = 27

Since Segment JK and Segment KL makes up segment JL, the numerical  value of Segment JL is the sum of Segment JK and Segment KL.

Segment JL = 27 + 27 = 54

Given that K is the midpoint on segment JL, the numerical value of segment JL is 54.

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The estimated annual sales for the salesperson with x = x0 is y0 = 100 + 1.5*Sy.

To answer this question, we need to use the regression equation for a simple linear regression model:

y = b0 + b1*x

where y is the dependent variable (annual sales), x is the independent variable (years of sales experience), b0 is the intercept, and b1 is the slope.

The slope b1 can be calculated as:

b1 = r * (Sy/Sx)

where r is the sample correlation coefficient, Sy is the sample standard deviation of y (annual sales), and Sx is the sample standard deviation of x (years of sales experience).

The intercept b0 can be calculated as:

b0 = ybar - b1*xbar

where ybar is the sample mean of y (annual sales), and xbar is the sample mean of x (years of sales experience).

We are given that the sample correlation coefficient is r = 0.75, and that the average annual sales is y = 100. Suppose a particular salesperson has x = x0, which is 2 standard deviations above the mean in terms of experience. Let's denote this salesperson's annual sales as y0.

Since we know the sample mean and standard deviation of y, we can calculate the z-score for y0 as:

z = (y0 - ybar) / Sy

We can then use the regression equation to estimate y0:

y0 = b0 + b1*x0

Substituting the expressions for b0 and b1, we get:

y0 = ybar - b1xbar + b1x0

y0 = ybar + b1*(x0 - xbar)

Substituting the expression for b1, we get:

y0 = ybar + r * (Sy/Sx) * (x0 - xbar)

Now we can substitute the given values for ybar, r, Sy, Sx, and x0, to get:

y0 = 100 + 0.75 * (Sy/Sx) * (2*Sx)

y0 = 100 + 1.5*Sy

Therefore, the estimated annual sales for the salesperson with x = x0 is y0 = 100 + 1.5*Sy.

Note that we cannot determine the actual value of y0 without more information about the specific salesperson's sales performance.

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Let p be the proportion of defectives in the shipment. Since p = 0.10 and we have a sample of n = 10 components drawn from the shipment, then from the binomial distribution we get:

Let p be the proportion of defectives in the shipment.

Thus, the probability that the distributor will return the shipment if the proportion of defectives in the batch is in fact 10% is 0.2639.

Summary:In summary, we are given that the proportion of defectives in the shipment is 10% and we are asked to find the probability that the distributor will return the shipment if 10 components are sampled and more than 1 of the 10 is defective. We can calculate this probability using the binomial distribution, which yields a probability of 0.2639.

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The sum of the angle measures of the polygon is 540°, the value of x is 5.

The sum of the angle measures of the polygon is 540°.

We know that the sum of the interior angles of a polygon of n sides = (n – 2) × 180°. = 3× 180°= 540°

If a polygon has x sides, then the sum of its angle measures can be found using the formula:

Therefore, for a polygon with x sides, the equation becomes:

⇒(x-2) * 180° = 540°

Solving for x, we get:

⇒x = (540° + 360°) / 180° + 2

⇒x = 3 + 2

⇒x = 5

So, the polygon has 5 sides.

Therefore, the value of  x is 5.

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Answer:

A) 80%

B) Non-Fiction = 4,800 books Fiction = 1,200 books

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Answers:

a) 80% nonfiction

b) 1200 fiction, 4800 nonfiction

=========================================

Explanation:

part (a)

We only have two choices: fiction or nonfiction

If 20% are fiction, then 100% - 20% = 80% are nonfiction.

The two percentages 20% and 80% add to 100% to represent all the books.

---------------------

part (b)

20% = 20/100 = 0.20

20% of 6000 = 0.20*6000 = 1200

we have 1200 fiction books

6000-1200 = 4800

and we have 4800 nonfiction books

Note how

80% of 6000 = 0.80*6000 = 4800

which helps confirm part (a)