Which of the following values are solutions to the inequality
2
x
+
4
>
8

Answer:

Explanation: We need to find x y z, three missing sides:

From the given triangle, we can form three equations, using the Pythagorean theorem as:

Solution by substitution:

Substituting (1) in (3) gives:

We have reached equation (4), solving for z in equation (4), and then substituting it into equation (2) gives:

Plugging this x into equation (4) gives:

Now that we have x and z, we plug x it into equation (1) and we get:

x y z respectively are:

Answer:

14/3

Step-by-step explanation:

Answer:

58/3

Step-by-step explanation:

7 1/4 ÷ 3/8

= 29/4 x 8/3

= 29 x 2/3

= 58/3

We know that Player Q's expected winnings are £652,000.

A. If both players have an equal chance of winning, then the probability of Player Q winning is 1/2. Therefore, the expected winnings for Player Q would be:

(1/2) x £800,000 (prize money for the winner) + (1/2) x £400,000 (prize money for the runner-up) = £600,000

Player Q's expected winnings are £600,000.

B. If the head-to-head match record is used, whereby Player Q has a 0.69 probability of winning, then the expected winnings for Player Q would be:

(0.69) x £800,000 (prize money for the winner) + (0.31) x £400,000 (prize money for the runner-up) = £652,000

Player Q's expected winnings are £652,000.

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The double integral of Sin (θ)dA over the region R can be evaluated by using the change of variables u = y-x and v = x.

The given region R is a right-angled triangle with vertices at (0,0), (0,1), and (1,0). To evaluate the double integral ∬R Sin (θ)dA, we can use a change of variables u = y-x and v = x.

First, we need to find the Jacobian of the transformation. The Jacobian is given by:

|∂u/∂x ∂u/∂y|

|∂v/∂x ∂v/∂y|

Evaluating the partial derivatives, we get:

| -1 1|

| 1 0|

The determinant of this matrix is |-10 - 11| = -1, so the Jacobian is -1.

Next, we need to find the limits of integration in terms of u and v. The line y = x intersects the sides of the triangle at (0,0) and (1,1), so the limits of integration for v are from 0 to 1. The line y = 1-x intersects the sides at (0,1) and (1,0), so the limits of integration for u are from -v to 1-v.

Substituting u = y-x and v = x, and using the Jacobian, we have:

∬R Sin (θ)dA = ∫∫T Sin (θ)|J|dudv

where T is the region in the uv-plane corresponding to the triangle R in the xy-plane.

Substituting u = y-x and v = x, we have:

Sin (θ)|J| = Sin (θ)

and

dA = dudv

So, the double integral becomes:

∬R Sin (θ)dA = ∫∫T Sin (θ) dudv

where the limits of integration are v from 0 to 1 and u from -v to 1-v.

Evaluating the integral, we get:

∬R Sin (θ)dA = ∫0^1 ∫-v^1-v Sin (θ) dudv

= ∫0^1 (-Cos(θ) + 1) dv

= -Cos(θ)/2 + 1/2

Therefore, the double integral of Sin (θ)dA over the region R is equal to -Cos(θ)/2 + 1/2.

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Answer:

a

Step-by-step explanation:

because it goes to one side to another

There is no sufficient evidence to indicate the true standard deviation is less than 4000

What is standard deviation ?

The standard deviation is a statistic that expresses how much variation or dispersion there is in a set of values. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the set mean.

given that n = 16

x = 60139.7

s = 3718.06

∝ = 0.05

To test the hypothesis

H0 : = 4000

H1 :  < 4000 (claim)

test statistics

x² = ((n-1)s²) / H0²

   = (15 * 13823970.16) / (16000000)

   = 12.96

P- value = P [x² < 12.96]           DF = n-1 = 15

             = 0.3946

0.1 < P-value <0.5

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It's crucial to start a topic off positively in a group discussion when you feel completely confident over your statements in order to create the correct momentum that will lead to a strong start and help you establish yourself as the group leader.

Confidence is by far the most crucial quality. A strong sense of self-assurance is essential for a leader. Self-conscious people are rarely effective leaders. A guy needs to have the self-assurance to tell people to follow him. The leader must have faith in his judgement and actions. An important trait in a leader is honesty. If someone wants to gain followers, they must exhibit honesty and integrity. A leader needs to be an excellent innovator. He must exercise creativity in his work. Most importantly, innovation ensures a group's or invention's continuous existence. Innovation is necessary for growth to occur.

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Answer:

  (a)  15 -18i

Step-by-step explanation:

You want the simplified form of the expression -2i(5- i) + (17- 8i).

For many purposes, the value i in a complex number can be treated in the same way a variable would be treated. When simplifying an expression involving i, any instances of i² can be replaced with the real value -1.

  -2i(5- i) + (17- 8i) = -10i +2i² +17 -8i

  = -2 +17 +(-10 -8)i

  = 15 -18i

__

Additional comment

Your scientific or graphing calculator can probably help you evaluate such expressions.

The value of x that makes m║n is 40°

In geometry, the line that intersects two straight lines at distinct points is known as a transversal.

The angles that are formed when two parallel lines are intersected by a third line i.e a transversal are corresponding angles.

Note:

Two corresponding angles are formed by a transversal with two parallel lines that are equal

Here we have

The angle made by the intersecting line with line m is 120°

And the angle made by the same line with line n is 3x°

Let us assume that m║n  

From above observations

The given angle are corresponding angles

=> 3x° = 120°

=> x° = 40°  

Therefore,

The value of x that makes m║n is 40°

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Answer:

40 Pieces

Step-by-step explanation:

12 inches in a foot. 6x12=72 inches. 72÷9=8 pieces from each 6 foot roll and you need 5 rolls so 5×8=40

Answer:

Step-by-step explanation:

:)

Answer:

2000

Step-by-step explanation:

1600 is 100% - 20% = 80% of the original price.

So it is 4/5 of the original price.

So, the marked price is 1600 * 5/4 = 2000

The statement "Tool life (T) is proportional to the strain hardening coefficient (n) of the cutting tool" is true.

In metal cutting operations, tool life refers to the duration or number of workpieces that can be machined before a cutting tool becomes ineffective and needs to be replaced or reconditioned. The tool life is influenced by various factors, including the properties of the cutting tool material, cutting conditions, and the workpiece material.

The strain hardening coefficient (n) is a material property that describes the extent to which a material hardens and strengthens when subjected to plastic deformation. It is often quantified using the strain-hardening exponent in the Hollomon equation:

\(\sigma = K \cdot \varepsilon^n\)

where \(\sigma\) is the true stress, \(\varepsilon\) is the true strain, \(K\) is the strength coefficient, and \(n\) is the strain hardening exponent.

In metal cutting, the cutting tool undergoes severe plastic deformation due to the high stresses and strains involved in the cutting process. The strain hardening coefficient (n) of the cutting tool material plays a crucial role in determining its resistance to deformation and wear.

A higher strain hardening coefficient (n) indicates a material that exhibits greater resistance to plastic deformation and wear. Therefore, a cutting tool with a higher strain hardening coefficient (n) is expected to have a longer tool life compared to a cutting tool with a lower strain hardening coefficient.

The shear angle in metal cutting, on the other hand, is not an independent variable but rather a dependent variable that is influenced by various factors such as cutting conditions, tool geometry, and material properties. The shear angle represents the angle between the direction of the cutting force and the direction of the shear plane in metal cutting.

To summarize, the statement "Tool life (T) is proportional to the strain hardening coefficient (n) of the cutting tool" is true, as a higher strain hardening coefficient indicates greater resistance to plastic deformation and wear, leading to an extended tool life. However, the statement "Shear angle in metal cutting is an independent variable" is false, as the shear angle is dependent on various factors involved in the metal cutting process.

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The correct expression is 2(One-third (5) (0.25) (2)).t is obtained by multiplying the base area of the rectangular pyramid (5 * 0.25) by its height (2), and then multiplying it by 2 since there are two identical pyramids in the figure.

The expression that represents the volume, in cubic units, of the composite figure is:

2(One-third (5) (0.25) (2))

The volume of each pyramid is given by one-third of the base area multiplied by the height. In this case, the base area is the product of the length and width of the rectangle, which are 5 and 0.25 units respectively. The height of each pyramid is 2 units. Since there are two identical pyramids in the composite figure, we multiply the volume of one pyramid by 2.

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Answer:

4.082 radians

Step-by-step explanation:

Here we want to convert 234° into radians.

To do it, we use the fact that pi radians is equal to 180°

Then we can write two equations:

x radians = 234°

3.14 radians  = 180°

Where we want to find the value of x, which is the equivalent in radians to 234°.

Now we can take the quotient of these two equations to get:

( x radians)/(3.14 radians) = (234°/180°)

Solving this for x, we get:

x radians = (234°/180°)*(3.14 radians) = 4.082 radians.

Answer:

45

Step-by-step explanation:

r

Answer:

8 centimeters is > 19 millimeters

Step-by-step explanation:

Answer:

$25

Step-by-step explanation:

Let the original cost of the shirt be x, therefore the sale price would be the original minus the 20% of the original price x - 0.20x = $20. Solve for x: 0.8x = 20 --> x=$25

It will take 19 hours by the 4 hoses to fill the swimming pool with a capacity of 22800-gallon.

Capacity is the maximum volume an object can hold while Volume is the amount of liquid or any substance present in an object.

It is given that:

Each hose is filling at a rate of 300 gallons per hour.

So, 4 hoses will fill with a rate of 300*4 = 1200 gallons per hour

The capacity of the swimming pool = 22800-gallon.

So, the number of hours hoses will take to fill the pool = 22800/1200

The number of hours hoses will take to fill the pool = 19 hours.

Therefore, It will take 19 hours to fill the swimming pool with a capacity of 22800-gallon.

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Question: A 22,800-gallon swimming pool is being filled by four hoses. water flows through each hose at a rate of 300 gallons per hour. How many hours will it take to fill the pool?

Answer: It would take 19 hours to fill the swimming pool.

Explanation: If the total volume is 22,800, with each hose at the rate of 300 gallons per hour, then the total rate of all four hoses would be 1200 gallons per hour (4 x 300 = 1200).

22,800 / 1200 = 19 hours.

The monthly payment for a one-year loan = $1,081.00

The higher the period of time, the lesser the monthly payment of a loan.

Claire needs to borrow $12,000 from a local bank with an interest of 8.1% which is,

8.1/100 × $12,000 =$972

This means after one year she will pay back;

$12,000 + $972 = $12,972

Therefore, monthly payment for a year loan = 12972/12

= $1,081.00

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Answer:

the domain is 1, 2, 3, 4, 5
the range is  0, 1, 2, 3, 4
the rule will be
X=Y+1

Step-by-step explanation:
domain is all values to x from left to right
range is all values to y from down to up

if X = 2 then Y=1

Answer:

1333.33

Step-by-step explanation:

125 + .18x = 85 + .21x

 40 = .03x

x = 1333.33

The value of x is 5.

Two angles that have the same vertex and a side in common.

Here, m∠2 = m∠6

       5x + 5 = 30

       5x = 25

        x = 25/5

       x = 5

Thus, The value of x is 5.

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Answer:

(8)

(9)

(10)

(11)

(12)

Answer:

it would be -5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

g(x) = - 2x + 5

Then

g(x) = - 5

- 2x + 5 = - 5

- 2x = - 5 - 5

- 2x = - 10

x = 10 / 2

x = 5

Answer:

after tax the car is $12,960

Step-by-step explanation:

to find this first you need to find 8% of 12,000 which is 960

8/100 * 12,000/1=960

now add 960 to the original and that is your answer

Answer:

Step-by-step explanation:

Yes, the answer is 150000 , maybe its asking u to put it in some form.

85.000

/ 120.00

--------------                  

 17200/0.08            (Plus The Sales Tax)

  (21500)

-15,9,13 are the quadratic equation values of a,b and c is 231.3.

The equation for the quadratic function is f(x) = a * x2 + b * x + c. The center figure, the one right next to the x, is the b-value. Both a and c are numbers, just like the other letters. Any number may be used for each of them. They provide information about the graph of the quadratic function when taken together.

Graphs, A quadratic function is one that has the formula f(x) = ax2 + bx + c, where a, b, and c are all integers with a not equal to zero. T

Our ability to solve any quadratic equation is aided by the quadratic formula. First, we change the equation's form to read as ax2+bx+c=0, where a, b, and c are the coefficients.

As a result, we enter these coefficients into the formula:

(-b(b2-4ac))/(2a).

(-b(b2-4ac))/(2a).

-9(9-4*-15*13)/2*-15

-9(9-780)/-30 = -9(-771)/-30 =6939/-30 = -231.3.            

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Complete question:

What are the values of a, b and c in the quadratic equation 9x² -15x + 13 = 0?

Answer:

88.4 centimeters

Step-by-step explanation:

I just finched the quiz 2.03

that was the right answer :)

Answer:

D -2

Step-by-step explanation:

any triangle inscribed into a half-circle is a right-angled triangle.

that means the triangle angle at B is 90°.

so, BC and AB are always perpendicular to each other (90° crossing angle).

remember, when the original slope is y/x, then the perpendicular slope is -x/y.

so, in our case the original slope of BC is 1/2.

therefore, the perpendicular slope (the slope of AB) is then

-2/1 = -2

An equation to model the relationship between the number of weeks, x, and the number of site visits, f(x) is 4800 = a(1.5)^x.

He found that before launching the new marketing plan, there were 4,800 visits.

Over the course of the next 5 weeks, the number of site visits increased by a factor of 1.5 each week.

Over the course of the next 5 weeks, initial visitor at x = 0, 4800

Increasing factor = 1.5

Equation of the model is given as:

f(x) = a(b)^x

From the question b = 1.5

Now the equation of model is:

f(x) = a(1.5)^x

At x = 0, f(x) = 4800

Now the equation of the model is:

4800 = a(1.5)^x

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