The function P(x)=−2.75x^2+1025x−3000 gives the profit when xx units of a certain product are sold. Find
a) the profit when 60 units are sold
dollars
b) the average profit per unit when 60 units are sold
dollars per unit
c) the rate that profit is changing when exactly 60 units are sold
dollars per unit
d) the rate that profit changes on average when the number of units sold rises from 60 to 120.
dollars per unit
e) The number of units sold when profit stops increasing and starts decreasing. (Round to the nearest whole number if necessary.)
units

The required number is 94.

Let the digit on unit's place be 'x'

Digit on ten's place be 'y'

Therefore,

Original number = 10y + x

Given, the sum of the digits = 11

=> x + y = 11 →(I)

When the digits are reversed, new number = 10x + y

Therefore,

(10y + x) - (10x + y) = 63

10y + x - 10x - y = 63

9y - 9x = 63

=> y - x = 7 →(II)

Adding (I) and (II) we get

2y = 18

y = 9

Substituting the value of y in (I) we get

x + 9 = 11

x = 2

Therefore,

Original number = 10y + x = 10(9) + 4 = 94

The required number is 94.

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Answer:

1, 2, 3, 5

Step-by-step explanation:

only the 4th and 6th answers are not rational.

4th because it contains pi (3.1415...) and it is not eliminated, which is per definition an irrational number.

the 6th because it is (out at least contains) a square root of an not ideal squared number. there is no integer number multiplied by itself that would deliver 5.

so, this is an infinite number without any repeating pattern no matter how far we look. therefore : irrational.

Calculating the circumference of a circle based on the circle's diameter.

What kind of problems can a quantum computer solve?

10 Difficult Problems Quantum Computers can Solve Easily-

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The complete question is -

Which type of mathematical problem is too complex for a classical computer to solve efficiently?

a. converting an irregular fraction to an approximate decimal value

b. multiplying two numbers that both have a large number of digits

c. finding two prime factors that result in a specific value when multiplied

d. calculating the circumference of a circle based on the circle's diameter

Answer:

10\(\pi\)

Step-by-step explanation:

Length of arc = \(\frac{theta }{360} * 2\pi r\)

= \(\frac{150}{360} * 2 \pi * 12\\\)

= \(10\pi\)

Answer:

Step-by-step explanation:

Because p is a function of hours.

People are a function of hours.

The probability of drawing a red 7 and black face card is P ( A ) = 1/221

Given data ,

Let the probability of drawing a red 7 and black face card be P ( A )

Now , the compound probability is given by\

The number of red 7 cards = ( red of diamonds 7 + red of hearts 7 )

Probability of drawing a red 7 = 2/52

Now , the card is not replaced , so the total number of remaining cards = 51

And , number of black face cards = 6

Probability of drawing a black face card = 6/51

So , P ( A ) = 2/52 ( 6/51 )

P ( A ) = 12 / 2652

On simplifying , we get

P ( A ) = 1/221

Hence , the probability is P ( A ) = 1/221

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Answer:

61/112.

Step-by-step explanation:

For 5 lemon sweets to be in the bowl the 3 taken  must be from the 4 blackcurrent and/or 7 orange sweets.

First work out the probability of having a lemon in one of the 3 picks:

Prob (Taking 3  lemons) = 5/16 * 4/15* 3/14 =  60/3360 = 1/56.

Prob (Taking 2  lemons and 1 blackcurrent) = 5/16*4/15*4/14 =  1/42

There are 3 ways of doing this so Probab) = 3/42 = 1/14.

Prob (Taking 1  lemon and 2 blackcurrent) = 5/16*4/15*3/14 = 1/56.

There are 3 ways of doing this so Prob = 3/56.

Prob (Taking 2  lemons and orange) = 5/16*4/15*7/14 = 140/3360 = 1/24.

There are 3 ways of doing this so Prob) = 3/24 = 1/8.

Prob (Taking 1  lemon and 2 orange) = 5/16*7/15*6/14 =  1/16

There are 3 ways of doing this so Prob = 3/16.

Therefore the probability of have 1 or more lemons in one of the 3 picks

= 1/56 + 1/14 + 3/56 + 1/8 + 3/16

=  51/112

and the probability of NOT having a lemon in one of the 3 picks

= 1 - 51/112

=  61/112.

Answer:

\(\frac{42}{8}\)

Step-by-step explanation:

7/8 <> 0.875

0.875 * 6 = 5.25

5.25 <> 42/8

(<> is used to show decimal to fraction and vice versa [the other way around])

The co-terminal angle to 5π/6 in the unit circle is C. 17π/6

Co-terminal angles in a unit circle are angles that share the same terminal point

Given the angle 5π/6, we desire to find the angle that shares the same terminal point in the unit circle. We proceed as follows.

We know that x = 5π/6 + 2π

Taking the L.C.M which is 6, we have that

x = (12π + 5π)/6

x = 17π/6

So, the angle is C. 17π/6

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Answer:

x=90

y=67

Step-by-step explanation:

as the line that bisects the vertical angle of isosceles triangle perpendicularly bisects the base

so x=90

and sum of all sides of triangle is 180 so

90+23+y=180

therefore,y=67

answer:

Solution,

We know ,

AB = AC

<B = <C

< A + <B + <C = 180° ( sum of angle in triangle)

or, 46 + y + y = 180°

or, 46 + 2y = 180°

or, 2y = 180° - 46°

or, 2y = 134

or, y = 134/2

y = 67°

The value of y is 67°

Now, In ∆ ABD

<BAD + <B + < ADB = 180°

or, 23 + 67 + X = 180°

or, 90 + X = 180

or, X = 180 - 90

X = 90°

The value of X is 90°

Hope this helps ...

Good luck on your assignment...

Answer:

75 units

Step-by-step explanation:

Answer:

5 units

Step-by-step explanation:

answer given by IXL

Here's an example of a for-loop in Python to create arrays \(x_2\) and \(y_2\)  with n unequally spaced points using the given formula.

import numpy as np

n = 200  # Number of points

\(x_2\) = np.zeros(n)

\(y_2\)  = np.zeros(n)

for k in range(1, n + 1):

   \(x_2\) [k - 1] = -np.cos(np.pi * (k - 1) / n) * 2 * np.pi

   \(y_2\) [k - 1] = 2.5 * \(x_2\) [k - 1]**2 + 0.1

# Printing the resulting arrays

print("\(x_2\) :", \(x_2\) )

print("\(y_2\) :", \(y_2\) )

In this code, we initialize empty arrays \(x_2\)  and \(y_2\)  with zeros. Then, the for-loop iterates over the values of k from 1 to n, and the formula \(x_2\)  = -cos(pi*(k-1)/n)*2*pi is applied to calculate each value of \(x_2\) . The corresponding value of \(y_2\)  is calculated using the given function 2.5\(x^{2}\) + 0.1. Finally, the resulting arrays \(x_2\)  and \(y_2\) are printed.

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Answer:

x=30

Step-by-step explanation:

x/5-16=-10

x/5=-10+16

x/5=6

x=6×5

x=30

Answer:

  D.  f'(2) = lim(-1/(4(x+2))

Step-by-step explanation:

You want the derivative of f(x) = 1/(x+2) at x=2 using the alternate definition of a derivative.

The alternate definition of a derivative tells you ...

  \(\displaystyle f'(2) = \lim_{x\to2}\dfrac{f(x)-f(2)}{x-2}\\\\\\f'(2)=\lim_{x\to2}\dfrac{\dfrac{1}{x+2}-\dfrac{1}{2+2}}{x-2}=\lim_{x\to2}\dfrac{4-(x+2)}{4(x+2)(x-2)}\\\\\\f'(2)=\lim_{x\to2}\dfrac{2-x}{4(x+2)(x-2)}=\boxed{\lim_{x\to2}\left[\dfrac{-1}{4(x+2)}\right]}\)

__

Additional comment

You recognize this is the only answer choice with (x+2) in the denominator. The correct answer can be chosen on this basis alone.

To isolate cc in the equation (1/c - 1), we need to rearrange the equation to solve for cc. By applying algebraic manipulation, we can transform the equation into a form where cc is isolated on one side.

Let's start with the equation:

(1/c - 1)

To isolate cc, we can follow these steps:

Step 1: Combine the fractions by finding a common denominator. The common denominator is cc, so we rewrite 1 as cc/cc:

(cc/cc)/c - 1

Simplifying further, we have:

cc/ccc - 1

Step 2: Combine the terms:

(cc - ccc)/ccc

Step 3: Factor out cc:

cc(1 - cc)/ccc

Now we have cc isolated on one side of the equation.

In summary, by rewriting the equation (1/c - 1) as cc(1 - cc)/ccc, we have successfully isolated cc.

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\(8^{3} \cdot 8^{-7} =8^{-4}=\boxed{\frac{1}{8^4}}\)

Answer:

jjajdawasdaw

Step-by-step explanation:

wsadwdasdawasdawdas

This is Right answer....

I hope you understand....

give me Brainliest.....

Thanks....

The probability sampling method in which you randomly select one of the first k elements and then select every k element thereafter is known as c. systematic sampling. Therefore, option c. systematic sampling is correct.

Systematic sampling is a probability sampling technique where the sample is chosen by selecting every kth element from the population, where k is a constant. This method is often used when the population is large and the complete list of elements is not easily available.

Stratified random sampling is a technique where the population is divided into strata or subgroups based on certain characteristics and a random sample is chosen from each stratum.

Cluster sampling involves dividing the population into clusters or groups and then selecting a random sample of clusters. The elements within each selected cluster are then included in the sample.

Convenience sampling is a non-probability sampling method where the sample is chosen based on convenience and availability. This method is often used in situations where it is difficult or expensive to obtain a random sample.

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Answer:

Angle N

Step-by-step explanation:

It looks like a right angle to me-

Answer:

  50 ft by 25 ft . . . . . 50 ft parallel to the barn

Step-by-step explanation:

You want the dimensions of the largest rectangular area that can be enclosed using 100 ft of fence for three sides.

If the dimensions of the space are L feet in length and W feet in width, where L is parallel to the barn, the length of the perimeter fence is ...

  P = L +2W

Solving for W gives ...

  W = (P -L)/2

The area of the enclosed space is ...

  A = LW

  A = L(P -L)/2 . . . . . substitute for W

The area formula is the equation for a parabola that opens downward. It has zeros at L=0 and at L=P. The vertex (maximum) is found at the value of L that lies on the line of symmetry, halfway between these zeros. If we call that length M, then we have ...

  M = (0 +P)/2 = P/2

The length of enclosure that maximizes the area is 1/2 the length of the available fence.

The width is ...

  W = (P -P/2)/2 = P/4

The width of the enclosure that maximizes the area is 1/4 the length of the available fence.

Using 100 feet of fence, the dimensions are ...

__

Additional comment

Note that we have solved this in a generic way. The solution given is the general solution to the 3-sided enclosure problem.

This is a special case of the general rectangular enclosure problem which has the solution that the total cost in one direction is equal to the total cost in the orthogonal direction. This rule applies even when costs are different for the different sides or for any partitions that might divide the enclosure.

Here the "cost" is simply the length of the fence. The 50 ft of fence parallel to the barn is equal in length to the 25 +25 ft of fence perpendicular to the barn.

The dimensions that give the maximum area inside the rectangle are x = 50 feet (parallel to the barn wall) and y = 25 feet (perpendicular to the barn wall).

To maximize the area of the rectangular fence, follow these steps:

1. Let's assign variables to the dimensions: let the length of the rectangle parallel to the barn wall be x feet, and the length perpendicular to the barn wall be y feet.

2. We are given that 100 feet of fence will be used for the other three sides. This means the fencing equation is:

x + 2y = 100.

3. Solve for x:  x = 100 - 2y.

4. The area A of the rectangle is given by the product of its dimensions: A = xy.

5. Substitute the expression for x from step 3 into the area formula:  A = (100 - 2y)y.

6. Expand the expression: A = 100y - 2y^2.

7. To maximize the area, we need to find the maximum value of the quadratic function A(y). Since the coefficient of the y^2 term is negative, the graph of A(y) is a downward-opening parabola, which means it has a maximum value.

8. To find the maximum, we'll use the vertex formula for parabolas: y_vertex = -b/(2a), where a = -2 and b = 100. Plugging in these values, we get y_vertex = -100/(2 * -2) = 25.

9. Substitute the value of y_vertex back into the equation for x: x = 100 - 2(25) = 50.

10. So the dimensions that give the maximum area inside the rectangle are x = 50 feet (parallel to the barn wall) and y = 25 feet (perpendicular to the barn wall).

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Answer:

to find volume we need 3 lengths

Step-by-step explanation:

And u have only given 2

Answer:

Step-by-step explanation:

Answer:

\({ \tt{ - {2b}^{2} - 18 {b}^{2} }} \\ = - {20 {b}^{2}} \)

The maximum height of the projectile is 56.53 meters.

The height of a projectile at time t is represented by the function h (t)= −4.9 t² +18t + 40, where h(t) is the height in meters and t is the time in seconds.

This is a quadratic function of the form h(t) = at² + bt + c, where a = -4.9, b = 18, and c = 40.

To find the maximum height of the projectile, we need to find the vertex of the parabolic graph of the function h(t).

The vertex of the parabola is at the point (t, h(t)) where t = -b/2a. Substituting the values of a and b, we get t = -18/(2(-4.9)) = 1.8367 seconds.

To find the maximum height, we need to substitute t = 1.8367 seconds into the function h(t). h(1.8367) = -4.9(1.8367)^2 + 18(1.8367) + 40 = 56.53 meters.

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Answer:

x=-8

Step-by-step explanation:

1) remove the constant(number without variable) to do this, we must use the opposite operation(in our case, subtraction)

so

4x+1=-31

a) 4x+1-1=-31-1

4x=-32

b) remove the coefficient by doing the opposite operation(division in our case)

x=-8

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:

r = 0 and r = -8

Step-by-step explanation:

|-4-r|=4

-4 = -4-r = 4

0 = - r = 8

0 = r = -8

When you have absolute value signs, to get rid of the absolute value signs and find the value of the term, you simply add another eqaul sign (=), and add a negative in front (- =). If it is already set to equal a negative, there isn't any solution.

|x| = 4

-4 = x = 4

So x would equal 4 and -4 for this example.

Another example:

|x|=-5

Because it's equal to a negative, the solution is automatically no solution.

The actual answer is r = 0 and r = -8

Answer:

"t" is not a specific thing, this is just the sign of your variable.

t = 4 × 2.5

t = 10