Given sine (30 degrees) = one-half and cosine (30 degrees) = startfraction startroot 3 endroot over 2 endfraction, use trigonometric identities to find the the value of cot(30°). one-half startfraction startroot 3 endroot over 3 endfraction startfraction startroot 3 endroot over 2 endfraction startroot 3 endroot

Answer:

\(-10\)

Answer:

\(p(x) = x^3-3x^2-2x+4\)

\(p(x) = (x-1)(x^2-2x-4)\)

Answer:

B. 60

Step-by-step explanation:

Step-by-step explanation:

29 + 33 = 62

6 + 7 > 12

number one is 33

number two is d = 7

Answer: c=33 and d=7

Step-by-step explanation:

The required number of ways are 50600.

What is combination?

Combination is a mathematical technique that determines number of possible arrangements in a calculation of items.

The formula of combination is given by:

\(^{n}C_{r}=\frac{n!}{r!(n-r)!}\)

Given that there are total 25 employees and 1 team leader and 3 team workers are to be selected from them.

Finding the number of ways for selecting 1 team leader:

\(^{25}C_{1}\\\\\frac{25!}{1!(25-1)!} \\\\\frac{(25!}{24!)} \\\\25\)

Now the remaining employees will be 12 after selecting a team leader.

Finding the number of ways for selecting 3 team workers:

\(^{24}C_{3}\\\\\frac{24!}{3!(24-3)!} \\\\\frac{25!}{3!(21!)} \\\\2024\)

So the required number of total ways are:

\(^{25}C_{1}\times{^{24}C_{3}}=25\times{2024}\\=50600\)

Therefore, the required number of ways are 50600.

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Answer:

350ml

Step-by-step explanation:

We know that 500ml is 100%

And the medium bottle is 30% less

So we find out how many ml 30% is

500ml -> 100%
50ml = 10%
150 ml = 30%

This means that the medium bottle holds 150ml less than the large bottle, so we do 500 - 150 which is equal to 350

Answer:

$500

Step-by-step explanation:

100-12=88

88/100=440/x

88x=100(440)

88x=44000

/88.  /88

x=500

hopes this helps

Answer:

d)the observations expressed in standard units

Step-by-step explanation:

The average will change and hence, consequently, so will the deviations from the average and also the standard deviation. so, the only option left is d)

To determine the buckling load of the column shown in Figure P2.13, we need to determine the critical load at which the column will buckle under compression.

To calculate the buckling load, we can use the Euler's formula for the critical buckling load of a column:

P_critical = (π^2 * E * I) / (K * L)^2

Where:

- P_critical is the critical buckling load

- E is the modulus of elasticity of the material

- I is the moment of inertia of the column cross-section

- K is the effective length factor

- L is the length of the column

To obtain the buckling load, we need to know the values of E, I, K, and L for the specific column in Figure P2.13. Once these values are known, we can substitute them into the formula to calculate the buckling load.

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Answer:

C. 26°

Step-by-step explanation:

We have to subtract m∠GOH ( 24° ) from m∠FOH ( 50°)

50° - 24° = 26°

C. 26°

Answer:

He can run 12 miles in 132 minutes.

Step-by-step explanation:

2/22=x/132

simplify 2/22 into 1/11

1/11=x/132

cross product

11*x=1*132

11x=132

x=12

The required return of the preferred stock of Metreora, Inc. is 5.78%.

Metreora Inc. has a favored stock that is remarkable and delivers a profit of $5.35 consistently in ceaselessness. The inquiry is trying to figure out the necessary return of the favored load of the organization which is presently selling at $93 per share.

The following is the formula for determining the required return: A $5.35 dividend is paid out on Metreora, Inc.'s preferred stock. $$Required Return = Dividend Text Price The preferred stock currently costs $93 per share. As a result, the following formula can be used to determine the preferred stock's required return: $$\text{Required Return} = \frac{5.35}{93} \approx 0.0578$$

This esteem should be switched over completely to a rate esteem by duplicating by 100. This indicates that Metreora, Inc.'s preferred stock must return approximately 5.78 percent. Consequently, the necessary return of the favored supply of Metreora, Inc. is 5.78%.

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The calculated value of x in the circle is 59

From the question, we have the following parameters that can be used in our computation:

The circle

The measure of angle at the center of the circle is calculated as

Center = 2 * 31

So, we have

Center = 62

The sum of angles in a triangle is 180

So, we have

x + x + 62 = 180

This gives

2x = 118

Divide by 2

x = 59

Hence, the value of x is 59

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Answer:

m = -3/4, b = 8, proportional, negative slope

Step-by-step explanation:

The average value of the function f(x) over the interval (2, 20) is approximately -\((π/2) (sin(π/20) + sin(π/2)).\)

To find the average value of the function f(x) = (9π/x^2)(cos(π/x)) on the interval (2, 20), we need to evaluate the definite integral of the function over that interval and then divide it by the length of the interval.

The average value of a function f(x) over the interval [a, b] is given by the formula:

Average value = \((1 / (b - a)) * ∫[a, b] f(x) dx\)

In this case, the interval is (2, 20), so a = 2 and b = 20.

Let's calculate the integral first:

\(∫[2, 20] (9π/x^2)(cos(π/x)) dx\)

To simplify the integral, we can rewrite it as:

\((9π) ∫[2, 20] (1/x^2)(cos(π/x)) dx\)

Now, we can evaluate this integral using standard integration techniques. Let's perform the integration:

\((9π) ∫[2, 20] (1/x^2)(cos(π/x)) dx = - (9π) (sin(π/x)) evaluated from x = 2 to x = 20\)

Evaluating at the limits, we have:

\(= - (9π) (sin(π/20)) - (- (9π) (sin(π/2))) = - (9π) (sin(π/20) + sin(π/2))\\\)

Now, we can calculate the length of the interval:

Length of interval = b - a = 20 - 2 = 18

Finally, we can compute the average value by dividing the integral by the length of the interval:

Average value = (1 / (20 - 2)) * - (9π) (sin(π/20) + sin(π/2))

Simplifying further, we have:

Average value = \(- (9π/18) (sin(π/20) + sin(π/2))\)

Therefore, the average value of the function f(x) over the interval (2, 20) is approximately - (π/2) (sin(π/20) + sin(π/2)).

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Andrew is concerned about the high turnover rate if he is tracking how many positions he has to fill and how many times he fills the same position and is worried that too many people are leaving his organization.

The turnover rate is the proportion of employees who leave a company over a specific period of time.

The turnover rate is expressed as a percentage of the total workforce.

High turnover rates can suggest that employees are unhappy with their jobs or that the company is experiencing financial difficulties.

A high turnover rate might result in a decrease in productivity, decreased morale among the remaining employees, and increased expenditures on recruiting and training new employees.

Thus, it is evident that Andrew is concerned about the high turnover rate.

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Answer:

1x²+5 x 6x

Step-by-step explanation:

We have shown that if r(t) is a nondecreasing function of t, then F(1) is also a nondecreasing function of t.

To show that F(1) is a nondecreasing function of t, we need to prove that if r(t) is nondecreasing, then the cumulative distribution function F(1) is also nondecreasing.

The cumulative distribution function F(t) is defined as the integral of the probability density function r(t) from negative infinity to t. In mathematical notation, it can be written as:

F(t) = ∫[negative infinity to t] r(u) du

To show that F(1) is nondecreasing, we need to compare F(1) for two different values of t, say t₁ and t₂, where t₁ ≤ t₂.

For t₁ ≤ t₂, we have:

F(t₁) = ∫[negative infinity to t₁] r(u) du

F(t₂) = ∫[negative infinity to t₂] r(u) du

Since r(t) is nondecreasing, it implies that r(u) is nondecreasing for all u between t₁ and t₂. Therefore, we can conclude that:

∫[negative infinity to t₁] r(u) du ≤ ∫[negative infinity to t₂] r(u) du

Which can be written as:

F(t₁) ≤ F(t₂)

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Answer:

  1/2 square unit

Step-by-step explanation:

You want the area between the curves y = x³ and y = x.

The area is found by integrating the difference of the function values. It is symmetrical about the origin, so we only need to consider half the figure:

  \(\displaystyle A=2\int_0^1{(x-x^3)}\,dx=2\left(\dfrac{1^2}{2}-\dfrac{1^4}{4}\right)=\boxed{\dfrac{1}{2}}\)

The area between the curves is 1/2 square unit.

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Answer:

C. 4 - 9

= - 5 is the correct answer .

thank you ☺️☺️

Answer:

all congruent

Step-by-step explanation:

The distance that she runs from one corner of the field to another is given as follows:

147.1 yards.

The Pythagorean Theorem states that for a right triangle, the length of the hypotenuse squared is equals to the sum of the squared lengths of the sides of the triangle.

The distance in this problem is the diagonal of a rectangle, which is the hypotenuse of a right triangle in which the length and the width are the sides, hence:

d² = 85² + 120²

d = sqrt(85² + 120²)

d = 147.1 yards.

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Answer:

6x - 3 + 4x = 13

10x - 3 = 13

10x = 16

x = 1.6

Any equation whose solution is    x=1.6   has the same solution as this one has.

Step-by-step explanation:

The transformation that took place is a horizontal stretch by a factor of 2

We are given that Polygon ABCD transformed to create polygon A'B'C'D'. Clearly, the polygon is first a translation of the polygon ABCD 1 unit to the right and then it is horizontally stretched by a scale factor of 2.

Since the length of the polygon was earlier 2 units and then the length of the Polygon A'B'C'D' is 4 units. Hence, the transformation that took place in the Polygon ABCD is a horizontal stretch by a factor of 2

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Answer: A Horizontal Stretch by a Factor of 2

Step-by-step explanation:

Answer:

The normal force is the force that a surface makes on an object that lies on that surface.

As the book rest flat in the table, the force acting on the book will be the gravitational force. This force pulls down the book against the table, then the normal force will be opposite to this, then the direction of this force is upwards. Being more exact, the normal force always acts on the normal direction to a given surface, to find the normal of a surface, you need to find the plane of the surface, then any perpendicular line to that surface will be "normal" to the surface (and the normal direction points away from the surface) then if the book is resting on top of the table, the direction of the normal will be upwards..

Then the force that acts on the book is normal to the surface of the table,

The values of x and y in the rectangle ABCD are 1 and 2 respectively.

Therefore,

AB = DC

AD = BC

2x + 4 = 3y

4x - 2 = y

Hence,

2x - 3y = -4

4x - y = 2

multiply equation(i) by 2

4x - 6y = -8

4x - y = 2

-5y = - 10

y = -10 / -5

y = 2

Therefore,

2x - 3(2) = -4

2x - 6 = -4

2x = -4 + 6

2x = 2

x = 1

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Answer:

The distance formula can be written correctly in several different ways.

I hope this helps.

Cheers.^^

The True statement about distance formula is

The distance formula can be written correctly in several different ways.

Given:

We know that if we have to find speed, we use

Speed = Distance/Time

and, if we have to find distance, we use

Distance = Speed X Time

and, if we have to find time , we use

Time = Distance / Speed.

Hence, The distance formula can be written correctly in several different ways.

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The equation of the line with slope  (-4/3) is given by 3y +4x = 15 .

The line equation is an algebraic representation of a set of points in a coordinate system that form a line. The several points on the coordinate axis that comprise a line are represented as a set of parameters x, y to construct an algebraic equation known as a line equation. We can use the equation of each line to determine whether or not a given point is on the lines.

Line's equation is, in fact, a one-degree linear equation.

The line passes through (3,1)and has a slope of (-4/3) .

Therefore the equation of the line will be written in the form of :

y-1 = (-4/3) (x-3)

or , 3y-3 = -4x + 12

or, 3y +4x = 15

here the y-intercept of the line is 5.

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