there are five disc in the CD player the player has a random button that selects songs at random and does not repeat until all songs replace what is the probability that the first song is selected from PS4 and the second song is your answer in a decimal rounded to the third decimal places

Answer:

91x-35 sorry couildnt graph

Step-by-step explanation:

Answer:

Step-by-step explanation:

The set of factors used to factor the given trinomial are -4 and -4. Therefore, option C is the correct answer.

The given trinomial is x²-8x+16.

Factors of 16           Sum of factors

-1 and -16               -1+(-16)=-17

-2 and -8                  -2+(-8)=-10

-4 and -4                  -4+(-4)=-8

The set of factors would used to factor the trinomial are -4 and -4.

Therefore, option C is the correct answer.

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Answer:

285, 7392, 15708, are divisible by 3 but not by 9

Step-by-step explanation:

it's because of we add the sun of the digits, 285, 7392, 15708, they are divisible by 3. actually, except for 629, all of them are divisible by 3, but 5490 and 43695 are both divisible by 3 and 9

Using derivative of a function

The derivative of a function is its limit as the change in the independent variable tends to zero.

Now, since we have the \(\lim_{h \to 0}\frac{cos(\pi + h) - (- 1)}{h}\).

We know that the definition of the derivative of  a function f(x) is

\(f'(x) =\lim_{h \to 0}\frac{f(x + h) - f(x)}{h}\)

Now, comparing both equations, we see that

f(x + h) = cos(x + h), f(x) = -1

Now, since f(x + h) = cos(x + h), we notice that f(x) must be a cosine function.

So, f(x) = cosx

Now, f(a) = -1

cosa = -1

a = cos⁻¹(-1)

= π

So, substituting this into the derivative equation, we have

\(f'(x) =\lim_{h \to 0}\frac{f(x + h) - f(x)}{h}\)

\(f'(x) =\lim_{h \to 0}\frac{cos(x + h) - (-1)}{h}\\=\lim_{h \to 0}\frac{cos(x + h) - cos(x)}{h}\\=\lim_{h \to 0}\frac{cos(\pi + h) - cos(\pi )}{h}\\= -sin\pi \\= 0\)

So,

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Answer:

would be 32120000 or alternative form 3.212x10 and a 7 on top.

Step-by-step explanation:

Using linear approximation, the expression √125.2 can be approximated as approximately 10.02.

To find the equation of the tangent line to the function f(x) = √x at x = 125, determine the slope (m) and the y-intercept (b) of the tangent line.

First, find the slope (m) using the derivative of the function f(x) = √x:

f'(x) = 1 / (2√x)

Evaluate the derivative at x = 125:

f'(125) = 1 / (2√125) = 1 / (2 × 5) = 1/10

Now, find the y-coordinate of the point on the function f(x) at x = 125:

f(125) = √125 = 5

So, the tangent line at x = 125 passes through the point (125, 5) and has a slope of 1/10.

Using the point-slope form of a linear equation, the equation of the tangent line can be written as:

y - 5 = (1/10)(x - 125)

To simplify, multiply through by 10:

10y - 50 = x - 125

Rearranging the equation, express it in the form y = mx + b:

y = (1/10)x - 75/10 + 5

Simplifying further:

y = (1/10)x - 75/10 + 50/10

Combining the terms:

y = (1/10)x - 25/10

Therefore, the equation of the tangent line to f(x) = √x at x = 125 is y = (1/10)x - 25/10.

Now, use this tangent line to approximate the value of √125.2:

Substitute x = 125.2 into the equation:

y = (1/10)(125.2) - 25/10

y = 12.52 - 2.5

y ≈ 10.02

So, using linear approximation, approximate √125.2 as approximately 10.02.

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Answer:

the speed of sound is 12 miles per minute

Step-by-step explanation:

To know the speed we have to divide the distance by the time because the speed of sound is constant and we have to use a formula of uniform rectilinear motion

Uniform rectilinear motion: When an object travels at a constant speed with zero acceleration it is known as uniform rectilinear motion

The distance it gives us is 1 mile and the time it gives us is 1/12 minute

v = speed

v = 1mi / (1/12 m)

v = 12 mi/m

in the result as we can see we have a whole number (12)

the speed of sound is 12 miles per minute

Reason:

We cannot divide by zero. This means the denominator cannot equal zero. If it was zero, then,

2x+10 = 0

2x = -10

x = -10/2

x = -5

Follow that chain in reverse to see that x = -5 causes the denominator 2x+10 to be zero. This is why we kick -5 out of the domain. Any other x value is valid.

Rick would need to have at least 100 cars on hand to immediately be able to deliver any car (model, option package, color).

To immediately deliver any car, Rick Rich's dealership must have all possible combinations of Mercedes models, option packages, and colors in stock.

With five models, four option packages, and five colors, there are 5 x 4 x 5 = 100 possible combinations.

Therefore, Rick would need to have at least 100 cars on hand, each representing a unique combination of model, option package, and color. It's worth noting that having exactly 100 cars on hand would only allow Rick to deliver one of each possible combination, so it may be prudent to have additional inventory on hand to meet demand for more popular combinations.

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Answer:

B. 200 mm²

Step-by-step explanation:

The area of a rectangle part of the figure is found using length x width, which in this case is 25 x 2 = 50 mm²

The area of a triangle is found using \(\frac{base*height}{2}\). Since the values given are the legs that make up the right angle, your base and height are 15 mm and 20 mm. This means the area is \(\frac{15*20}{2}\), which is 150 mm².

The area of the figure as is whole is 50 + 150, which is 200 mm².

Answer: Part A: 1/26 or 0.38

Part B: 1/59 or 0.017

Step-by-step explanation:

A²+B²= C²

31²+ 21²= z²

961+441 = z²

1402= z²

z= 37.443290454

Answer:

Choice D is the correct answer.

Answer:

dL/dt = 110,98 m/s

Step-by-step explanation:

Let´s call A the point where a person is, the intersection (o) and the car from the north form a right triangle. According to Pythagoras Theorem

L²  =  x²  +  y²      where L is the distance between the person and the car ( x is constant since the person does not move)

Tacking derivatives with respect to time we have:

2*L*dL/dt  =   2*y*dy/dt     (1)

x  =  15 mts         y  = 888    and  dy/dt  = 111 m/s

L² =  x²  +  y²

L  = √ (15)² + (888)²      ⇒     L = √ 225  + 788544

L = 888,13 m

2*L* dL/dt  = 2* (888)*111

dL/dt  = (888)*111/888,13

dL/dt  =0,99*111

dL/dt = 110,98 m/s

Answer:

220 adults and 250 children

Step-by-step explanation:

we require to set up 2 equations and solve simultaneously.

let a be the number of adults and c the number of children , then

a + c = 470 → (1) based on number of people

3a + c = 910 → (2) based on ticket sales

subtract (1) from (2) term by term to eliminate c

(3a - a) + (c - c) = 910 - 470

2a + 0 = 440

2a = 440 ( divide both sides by 2 )

a = 220

substitute a = 220 into (1) and solve for c

220 + c = 470 ( subtract 220 from both sides )

c = 250

that is 220 adults and 250 children attended

Answer:

dhsuaehcusjr ushebdhzsjr

Answer:

V= a^3 = 53 = 125m³

Step-by-step explanation:

Answer:

125 m cubed

Step-by-step explanation:

because length x width x height

Answer:

B

Step-by-step explanation:

Yes, because for each input there is exactly one output. You can have two of the same x values but you cannot have 2 of the same y values. if you have two of the same y values, it is not a function as it doesn't pass the vertical line test.

Answer:

\(P = (-5,5)\)

Step-by-step explanation:

Let the segments be A and B

\(A = (-9,3)\)

\(B = (1,8)\)

\(m:n = 2:3\)

Required

Determine the endpoints after it is divided into ratios.

Let the point be represented with P

The formula to use is:

\(P = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})\)

Where

\(A = (-9,3)\)  ----- \((x_1,y_1)\)

\(B = (1,8)\) ------ \((x_2,y_2)\)

So:

\(P = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})\)

\(P = (\frac{2 * 1 + 3 * -9}{2 + 3},\frac{2 * 8 + 3 * 3}{2 + 3})\)

\(P = (\frac{-25}{5},\frac{25}{5})\)

\(P = (-5,5)\)

Answer:

Isabel’s retirement savings are made with pretax dollars.

Isabel’s retirement savings may include a contribution from her employer.

Step-by-step explanation:

When you contribute to an IRA account, your contribution is tax deductible. This means that all the money that you contribute to your account comes from pretax dollars. This contribution is limited to $19,500 per year (for 2020) or $26,000 if you are 50 or older.

Your employer can also contribute to your 401(k) account and employer's contribution may be even higher than the employee's. Total contributions including employer's and employee's cannot exceed $57,000 per year (or $63,500 if 50 or older) or the employee's total compensation per year, whichever is lower.

The value of the radical √48 is 4√3.

Radical is a symbol (√) that denotes square roots and nth roots. The number inside the symbol is called Radicand and the expression containing the radical or a square root is called a Radical expression.

Here, we are given the radical √48

To find the value of the radical, we will factorize 48

i.e., 48 = 2×2×2×2×3

           = 16×3

Now, the square root of 48, that is, √48

                                                       = \(\sqrt{16\cdot3}\) =\(\sqrt{16} \cdot \sqrt{3}\)

We know 16 is a perfect square of 4, that is, the square root of 16= 4

⇒√16=4

Using this, we have √48= 4√3

The correct answer is 4√3.

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Trawler B should take a course that is 18 degrees east of north.

In order to intercept Trawler A, Trawler B must travel in a direction that will bring it closer to Trawler A. Since Trawler A is traveling due west, Trawler B must travel in a direction that is east of north. The angle that is 18 degrees east of north will bring Trawler B closest to Trawler A.

Here are the steps to find the course that Trawler B should take:

Draw a diagram of the situation.

Label the two trawlers A and B.

Draw a line representing the direction that Trawler A is traveling.

Draw a line representing the direction that Trawler B should travel.

Measure the angle between the two lines.

The angle between the two lines will be 18 degrees. Therefore, Trawler B should take a course that is 18 degrees east of north.

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Step-by-step explanation:

we need to divide 1450 by 3 to see how many miles should be driven each day to reach to goal in 3 days.

the wording seems to tell us we cannot use fractions of miles. we only can use whole miles.

1450 / 3 = 483.333333...

to be sure to reach Atlanta in 3 days when driving the same amount of miles every day, the minimum per day is then 484 miles per day (no fractions).

because 483 miles per day would give us only 1,449 miles in total and leave us 1 mile short of the target.

Using the markup, the price of the microscope at the store is 528 dollars.

Markup shows how much more a company's selling price is than the amount the item costs the company.

In other words, markup is the amount by which the cost of a product is increased in order to derive the selling price.

Therefore, the store sells A store sells a $400 microscope after a markup of 32%. The price of the microscope at the store can be calculated as follows:

markup = 32% of 400

markup = 32 / 100 × 400

markup = 12800 / 100

markup = $128

Therefore,

price of the microscope = 400 + 128

price of the microscope = $528

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Answer:

no1

Step-by-step explanation:

I am not seeing it please it is blur

The y-intercept of the linear function means that her initial distance from the finish line is of 10 kilometers.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

The graph crosses the y-axis at y = 10, hence the intercept b is given as follows:

b = 10.

The y-values represent the distance in the context of this problem, hence the initial distance is of 10 km.

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None of the given answer options (-10, 10, 16, ¾/1) correspond to the correct slope of -1/2.

To find the slope of the red line given that it is perpendicular to the green line with a slope of 2, we can use the property that perpendicular lines have slopes that are negative reciprocals of each other.

The slope of the green line is 2. To find the slope of the red line, we take the negative reciprocal of 2. The negative reciprocal is obtained by taking the reciprocal (flipping the fraction) and changing the sign.

Reciprocal of 2: 1/2

Negative reciprocal: -1/2

Therefore, the slope of the red line is -1/2.

However, none of the given answer options (-10, 10, 16, ¾/1) correspond to the correct slope of -1/2.

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Answer:

a and b are relative on maxima interval x =-4,x=0