The management of an electronics firm has determined that the profit the company earns is a function of thenumber of employees it has. The function isP(x) = ln(4x + 1) + 3x - x²where P(x) is the profit (in millions of dollars), and x is the number of employees (in thousands). What will theprofit be if the firm has 2,000 employees (x = 2)? Round the answer to two decimal places and make sure toinclude the units.

The conditional probability for this problem is given as follows:

C. P(A|B) = 2/5 = 0.4 = 40%.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

For this problem, we have that 5 students play soccer, and of those, 2 play basketball, hence the conditional probability is given as follows:

C. P(A|B) = 2/5 = 0.4 = 40%.

Learn more about the concept of probability at https://brainly.com/question/24756209

#SPJ1

Answer:

162

Step-by-step explanation:

\( { \sqrt{xy} } = 3\)

\( = > ( { \sqrt{xy} })^{2} = {3}^{2} \)

\( = > xy = 9\)

Also ,

\(x - y = 12\)

\( = > {(x - y)}^{2} = {12}^{2} \)

\( = > {x}^{2} + {y}^{2} - 2xy = 144\)

Putting the value of 'xy' above gives :-

\( {x}^{2} + {y}^{2} - 2 \times 9 = 144\)

\( = > {x}^{2} + {y}^{2} = 144 + 18 = 162\)

The equation that shows the Pythagorean identity is true for θ = 270° and is in the form sin²θ + cos²θ = 1 is option  B. 0² + (-1)² = 1

The Pythagorean identity is a fundamental trigonometric identity that relates the sine and cosine functions. It states that for any angle θ, the sum of the squares of the sine and cosine of that angle is equal to 1: sin²θ + cos²θ = 1.

We are given θ = 270° and we need to select the equation that satisfies the Pythagorean identity in the given form.

Let's evaluate each option:

A. 0² + 1² = 1

In this case, sin²θ = 0² = 0 and cos²θ = 1² = 1. Adding them together, we get 0 + 1 = 1, which satisfies the Pythagorean identity.

B. 0² + (−1)² = 1

Here, sin²θ = 0² = 0 and cos²θ = (−1)² = 1. Adding them, we have 0 + 1 = 1, which satisfies the Pythagorean identity.

C. (−1)² + 0² - 1

In this equation, sin²θ = (−1)² = 1 and co

s²θ = 0² = 0. However, the equation does not satisfy the Pythagorean identity because 1 + 0 - 1 ≠ 1.

D. 1² + 0² = 1

For this option, sin²θ = 1² = 1 and cos²θ = 0² = 0. Adding them together, we get 1 + 0 = 1, which satisfies the Pythagorean identity.

Based on our evaluation, options A and B both satisfy the Pythagorean identity for θ = 270°. Therefore, either A or B can be selected as the correct equation.The correct answer is  b.

Know more about   Pythagorean identity   here:

https://brainly.com/question/24287773

#SPJ8

The Question was Incomplete, Find the full content below :

Which equation shows that the Pythagorean identity is true for θ = 270°?

Select the equation that is in the form sin²θ+ cos²θ = 1.

A. 0² + 1² = 1

B. 0² + (−1)² = 1

C. (-1)² + 0² - 1

D. 1² + 0² = 1

x^2-4x-5=0

Using sum and product method

sum= -4

product= -5

factor= -5, 1

x^2-5x+x-5

x(x-5)+1(x-5)

(x-5)(x+1)

Answer:

Hi

Step-by-step explanation:

Please paste your question so I can solve it

Thanks

Answer:

-5/12

Step-by-step explanation:

Convert to twelfths.  Then subtract.

Change 3/4 to 9/12 and 1/3 to 4/12.

4/12 - 9/12 = -5/12

Answer:

4/3 and 2/5

Step-by-step explanation:

i think ur trying to find the greatest one but if not tell me and explain what u want

Answer:

2/5 and 4/5

Step-by-step explanation:

The answer is:

g(x + 1) = 6x + 1

g(4x) = 24x -5

Work/explanation:

To evaluate, I plug in x + 1 into the function:

\(\sf{g(x)=6x-5}\)

\(\sf{g(x+1)=6(x+1)-5}\)

Simplify

\(\sf{g(x+1)=6x+6-5}\)

\(\sf{g(x+1)=6x+1}\)

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

Do the same thing with g(4x)

\(\sf{g(4x)=6(4x)-5}\)

\(\sf{g(4x)=24x-5}\)

Hence, these are the answers.

Answer:

4/5

Step-by-step explanation:

There Are 5 Sections, 5 Is The Denominator For Our Answer

He Fills 4 Sections, And That Means He Filled Four-Fifths Of The Container.

Hope This Helps!

Answer:

It's all about parts.

Step-by-step explanation:

Since the container has 5 sections we can look at it as ?/5. With every section that Alvin fills, we add 1 more to the fraction. So, if he fills 1 section, we have 1/5. If he fills 2 sections, we have 2/5, and so on. I hope this helps you.

The expression that represents the area of the right-angled triangle with a base of 10 and height of 24 is 1/2 * 10 * 24.

To find the expression that represents the area of the right-angled triangle, we can use the formula for the area of a triangle, which is given by:

Area = (1/2) * base * height

In this case, the given measurements are:

Base = 10

Height = 24

Substituting these values into the formula, we get:

Area = (1/2) * 10 * 24

Simplifying the expression, we have:

Area = 5 * 24

Area = 120

Therefore, the expression that represents the area of the triangle is:

1/2 * 10 * 24

In the provided options, 1/2 * 10 * 24 is the correct expression for calculating the area of the triangle. The base and height are multiplied together, and then divided by 2 to account for the triangle's shape.

For more such questions on triangle

https://brainly.com/question/2217700

#SPJ8

Answer:

no solutions

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

equation of blue line is y = x + 2 , in slope- intercept form

with slope m = 1

equation of red line is y = x - 3 , in slope- intercept form

with slope m = 1

• Parallel lines have equal slopes

then the blue and red lines are parallel.

the solution to the system is at the point of intersection of the 2 lines

since the lines are parallel then they do not intersect each other.

thus the system shown has no solution.

Answer:

esto es correcto, la y sigue siendo la misma

Step-by-step explanation:

Answer: y=4

Step-by-step explanation:

y = 4

Por que y siempre es equitativo a cuatro.

Perdón por los errores en mi español. Es mi segundo idioma.

Answer:

Hey there!

This is an obtuse isosceles, because two sides are congruent, and one angle is greater than 90 degrees.

Let me know if this helps :)

Answer:

\(\Large \boxed{\mathrm{C. \ obtuse \ isosceles }}\)

Step-by-step explanation:

An isosceles triangle has two equal angles. This triangle has two base angles equal.

An obtuse triangle has an angle measuring greater than 90 degrees. This triangle has an angle measuring 136 degrees.

This triangle is an obtuse isosceles triangle.

As a result, 1.554 g of sugar are included in the low-sugar yoghurt as if the low-sugar yoghurt has 26% less sugar.

A proportion is put up using a single unit when using a unitary method. For instance, the price of 1 apple is $2/3 if 3 bananas cost $2. The cost among one unit of something like the quantity "apples" is represented by this value of $2/3. In a similar vein, if a car can drive 300 km on 20 litres of gas, how far can it go on one litre of gas? The answer is 15 km (300/20). Finance, science, and engineering are just a few of the fields where the unitary technique can be applied to solve issues.

given

Regular yoghurt contains: If only 7% of the daily required amount of sugar is present in it:

7% of 30 g = \((7/100) * 30 g = 2.1 g\)

This indicates that 2.1 g of sugar are present in ordinary yoghurt.

Hence, if the low-sugar yoghurt has 26% less sugar than the standard yoghurt, it contains:

\(1.554 g = 2.1 g - (26/100) x 2.1 g = 2.1 g - 0.546 g\)

As a result, 1.554 g of sugar are included in the low-sugar yoghurt as if the low-sugar yoghurt has 26% less sugar.

To know more about unitary method  visit:

https://brainly.com/question/28276953

#SPJ1

Answer:

(a) t = 7 sec approximately; (b) t = 6 sec

Step-by-step explanation:

(a)  Set h(t)= -16(t-3)^2 + 288 = 0 and solve for t:

                     16(t-3)^2 = 288  

       After simplification, this becomes (t - 3)^2 = 18, or t - 3 = ±3√2.

        Because t can be only zero or positive, t = 3 + 3√2 = 7 seconds

(b) Solve h(t)= -16(t-3)^2 + 288 = 150:

                        -16(t-3)^2 = - 162

      or                (t - 3)^2 = 10.125, or

                            t - 3 =  ±3.18, or, finally, t = 6.18 sec (discard t = -0.18 sec)

The given expression is factored as \(4v^{7} x^{3} (7y^{6} -3v^{2} x^{6} )\)

Given expression: \(28v^{7}x^{3}y^{6}-12v^{9} x^{9}\)

In order to factorize the given expression, take out the common terms and then simplify further.

\(28v^{7}x^{3}y^{6}-12v^{9} x^{9}=4v^{7} x^{3} (7y^{6} -3v^{2} x^{6} )\)

In mathematics, a factor is a divisor of a given integer that divides it exactly, leaving no leftover.

A number can have either positive or negative factors.

A number has a finite number of factors.

A number's factor will never be more than or equal to the provided number.

Every number contains at least two factors, 1 and the actual number, with the exception of 0 and 1.

Finding a number's factors involves using the division and multiplication operations.

Learn more about factors here:

https://brainly.com/question/25829061

#SPJ1

Answer:

x^3 + x^2 - 5x + 3

answer: none of these? $338.69

explanation:

https://calculator.me/loan/s?prin=15000&ir=4&term=48&termtype=12&freq=12&pp=0&dp=0&dptype=1&tradein=0&stax=0&fstax=1&appfee=0&fappfee=1&od=13&om=9&oy=2021

Answer:

there is the answer to do

Answer:

Step-by-step explanation:

15+5x=20x

   -5x  -5x  => Subtract 5x from each side

You get

15 = 15x

Divide both sides by 15

1=x

The equation of the line is y = x.

To find the equation of a line given its graph, you need to follow the steps below.

Step 1: Determine the slope of the line.The slope of the line can be determined using the formula: slope = rise/run or m = Δy/Δx. Rise is the change in the y-coordinates and run is the change in the x-coordinates.

Step 2: Determine the y-intercept of the line.The y-intercept is the point where the line intersects the y-axis. You can determine the y-intercept by looking at the point where the line crosses the y-axis on the graph. The y-intercept is denoted by the letter b.

Step 3: Write the equation of the lineThe equation of the line can be written in slope-intercept form, which is y = mx + b. The slope (m) and y-intercept (b) that were determined in steps 1 and 2 are used to substitute into this equation. Thus, the equation of the line becomes y = slope(x) + y-intercept.

Example:Let's say you are given the graph of a line below: .

Step 1: Determine the slope of the line.To determine the slope of the line, you need to choose two points on the line and calculate the rise and run. Let's choose the points (2, 1) and (4, 3). The rise is 2 (3 - 1) and the run is 2 (4 - 2). Therefore, the slope of the line is: m = 2/2 = 1.

Step 2: Determine the y-intercept of the lineThe line crosses the y-axis at the point (0, 0). Therefore, the y-intercept of the line is b = 0.

Step 3: Write the equation of the line.The equation of the line in slope-intercept form is y = mx + b. Substituting the slope and y-intercept into this equation gives: y = 1x + 0 or y = x.

for such more question on line

https://brainly.com/question/24644930

#SPJ8

The probability for success is not the same for each trial, then the option D cannot be modelled using a geometric distribution.

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.

One of the assumptions to consider before the use of a geometric distribution can be valid is that, the probability of success must be the same for each outcome.

In the option D, selection is done without replacement, meaning that, the number total possible outcome will decrease as we make each selection and will also depend on how the colours are being chosen.

Hence, the probability of success will differ for each outcome, thus the option D is correct.

Learn more about probability, here;

brainly.com/question/19453987

#SPJ1

Answer:

Chain rule: \(\frac{d}{dx} [f[u(x)]] = \frac{df}{du} \cdot \frac{du}{dx}\), u-Substitution: \(f\left[u(x)\right] = \int {\frac{df }{du} } \, du\)

Step-by-step explanation:

Differentiation and integration are reciprocal to each other. The chain rule indicate that a composite function must be differentiated, describing an inductive approach, whereas u-substitution allows integration by simplifying the expression in a deductive manner. That is:

\(\frac{d}{dx} [f[u(x)]] = \frac{df}{du} \cdot \frac{du}{dx}\)

Let integrate both sides in terms of x:

\(f[u(x)] = \int {\frac{df}{du} \frac{du}{dx} } \, dx\)

\(f\left[u(x)\right] = \int {\frac{df }{du} } \, du\)

This result indicates that f must be rewritten in terms of u and after that first derivative needs to be found before integration.

Answer:

14

Step-by-step explanation:

11 + 3 = 14

Hope it helps!

Thanks!

The required  derivative of \(f(x) = \frac{2x^3 - 1}{x}$\) is \($f'(x) = 4x + \frac{1}{x^2}$\).

A technique for determining a function's derivative is differentiation. Mathematicians use a method called differentiation to determine a function's instantaneous rate of change based on one of its variables. The most typical illustration is velocity, which is the rate at which a distance changes in relation to time.

The function \(f(x) = \frac{2x^3 - 1}{x}$\) can be written as \(f(x) = 2x^2 - \frac{1}{x}$\).

The derivative of f(x) can be found using the power rule and the derivative of 1/x, which is\(-\frac{1}{x^2}$\).

Therefore, we have:

\($f'(x) = 4x + \frac{1}{x^2}$$\)

So the derivative of \(f(x) = \frac{2x^3 - 1}{x}$\) is \($f'(x) = 4x + \frac{1}{x^2}$\).

To know more about differentiation visit:

brainly.com/question/24898810

#SPJ1

Complete question:

Find the derivative of the following, using differentiation from first principles. f(x) = 2x²-1/x​.

The value of a data point that is -2 standard deviations from the mean

so, 40.6 to 65.4.

According to the empirical rule, also known as the 68-95-99.7 rule, the percentage of values that lie within an interval with 68%, 95%, and 99.7% of the values lies within one, two, or three standard deviations of the mean of the distribution.

\(P(\mu - \sigma < X < \mu + \sigma) \approx 68\%\\P(\mu - 2\sigma < X < \mu + 2\sigma) \approx 95\%\\P(\mu - 3\sigma < X < \mu + 3\sigma) \approx 99.7\%\)

From the empirical rule, we know that for 95% we are in 2 standard deviations of the mean. so:

= 53- 6.2- 6.2

= 40.6

The value of a data point that is -2 standard deviations from the mean

53 + 6.2 + 6.2

= 65.4

Learn more about the empirical rule here:

https://brainly.com/question/13676793

#SPJ2

Answer:

The final score will be -5

Because, on the eighteenth hole his score was -2 + -3

=> -5 (Because a negative + a negative = a negative )

If my answer helped, please mark me as the brainliest

Thank you!