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Answer:

$14,362

Step-by-step explanation:

The computation of the minimum unit cost is shown below:

Given that

0.6x^2 - 108x + 19,222

And as we know that the quadratic equation form is

ax^2 + bx + c

where

a = 0.6

b = -108

c = 19,222

Now for determining the minimal cost we applied the following formula which is

\(= \frac{-b}{2a} \\\\ = \frac{-(-108)}{2\times 0.6} \\\\ = \frac{108}{1.2}\)

= 90

Now put these values to the above equation

\(= 0.6\times 90^{2} - 108 \times 90 + 19,222\)

= 14,362

To find the maximum and minimum values of the given function f(θ), we need to find its critical points and endpoints.

First, we take the derivative of f(θ) with respect to θ:

f'(θ) = -2 sin(θ) - 2 cos(θ) sin(θ)

Setting f'(θ) = 0, we get:

-2 sin(θ) - 2 cos(θ) sin(θ) = 0

Simplifying and factoring out -2 sin(θ), we get:

-2 sin(θ) (1 + cos(θ)) = 0

This gives us two critical points: θ = 0 and θ = π.

Next, we need to evaluate the function at the endpoints of the given interval [0, 2π]:

f(0) = 2 cos(0) + cos2(0) = 3

f(2π) = 2 cos(2π) + cos2(2π) = 3

Now we compare the values of f(θ) at the critical points and endpoints to find the maximum and minimum values:

f(0) = 3 (endpoint)

f(π) = 1 (critical point)

f(2π) = 3 (endpoint)

Therefore, the maximum value of f(θ) is 3 and the minimum value is 1.

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The sum of the digits of the number which when added to 2000 makes the resulting number divisible by 12,16,18 and 21 is 7

The smallest number which when added to 2000 makes the resulting number divisible by 12, 16, 18, and 21 is 312. The sum of the digits of x is 3 + 1 + 2 = 6.

To find the smallest number x that can be added to 2000 to make the resulting number divisible by 12, 16, 18, and 21, we need to find the least common multiple (LCM) of these numbers.

The LCM of 12, 16, 18, and 21 is 1008. Then we need to find the smallest multiple of 1008 that is greater than 2000. This is 1008 * 3 = 3024. The difference between 3024 and 2000 is 1024, so x = 1024.The sum of the digits of x is 1 + 0 + 2 + 4 = 7. Therefore, the sum of the digits of x is 7.

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Consequently, as stated, the numbers are 3 and 12. The numbers' quotient is 4, and their sum is 15.

Its core concept is thought to correspond to the figure is probably smallest equivalent fractions. How to determine your simplest form. Look identify shared values in the median and numerator. A minority number can be checked to ascertain if it is a prime number. A phrase having two rotational symmetry and an equaled sign inside this middle is referred to by the term mathematical formula. Every variable's degrees are mentioned in descending order in the basic context of any equation. The formula for such a linear equation is x + b = 0. The basic sense of a two-variable mathematical expression is an x + b y + c = 0. (or something similar). Either conditioned equations or identities were categories for equations. An identity holds true for whatever value of the variables.

given

Let S and Q represent the known sum and quotient, respectively.

Let x and y represent the two unidentified numbers. The two equations x+y = S and x/y = Q are then left for us to solve. By eliminating x from the first equation and using the second, which may be represented as x=Qy, we can obtain (Q+1)y=S.

Consequently, y=S/(Q+1).

Since x=Qy, x=QS/Q+1 is the logical conclusion.

For example, if S=15 and Q=4, then y=15/(4+1)=3 and x=4y=12 are the results.

Consequently, as stated, the numbers are 3 and 12. The numbers' quotient is 4, and their sum is 15.

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Answer:

m(x) =-3x -3

Step-by-step explanation:

f(x) = 2x + 1

g(x) = 5x +4

f(x) -g(x) =  2x + 1 -( 5x +4)

Distribute the minus sign

f(x) -g(x) =  2x + 1 -5x -4

Combine like terms

            = 2x-5x   +1 -4

             = -3x -3

If the coefficient of determination is 0.94, we can say that ninety-four percent of the total variation of the dependent variable is explained by the independent variable. The correct answer is: ninety-four percent of the total variation of the dependent variable is explained by the independent variable.

This means that there is a strong positive relationship between the two variables. The coefficient of determination, represented as R², measures the proportion of the total variation in the dependent variable that is explained by the independent variable. In this case, an R² of 0.94 indicates that 94% of the total variation in the dependent variable can be explained by the independent variable. The coefficient of determination does not provide information about the direction or strength of the relationship. The correct answer therefore is ninety-four percent of the total variation of the dependent variable is explained by the independent variable.

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Answer:

B. 11

Step-by-step explanation:

We can try it for each

10*2+5=25

25-10=15❌

11*2+5=27

27-11=16 ✔

12*2+5=29

29-12=17❌

6*2+5=17

16-6=11❌

So it's B

White color has the same frequency as the distribution of colors in the bag.

The statistic is the study of mathematics that deals with relations between comprehensive data.

Here,
in the bag, there are 100 cards, and an equal number of cards in colors blue, red, white, and yellow.
Frequency of each color card in bag = 100 / 4 = 25

Now,
if 20 colors have been drawn, the equally distributed frequency of each color,
= 20 / 4 = 5 card,
So from the table, the white color has a frequency of 5.

Thus, the white color has the same frequency as the distribution of colors in the bag.

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Referring to Table 3.1, if the government imposes a price of $3, a shortage will result.

To determine the outcome when the government imposes a price of $3, we need to compare the quantity demanded and quantity supplied at this price level.
According to Table 3.1, at a price of $3, the quantity demanded is 30 units, while the quantity supplied is 40 units. The quantity demanded (30 units) is less than the quantity supplied (40 units), resulting in a situation known as a shortage.
A shortage occurs when the quantity demanded exceeds the quantity supplied at a given price. In this case, a shortage of 10 units occurs because consumers are willing to buy more than what producers are offering at the price of $3.
To summarize, if the government imposes a price of $3 based on Table 3.1, a shortage will result. This means that the quantity demanded exceeds the quantity supplied at the given price, indicating that consumers are unable to purchase all the units they desire.

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 the complete question is:

Table 3.1
Quantity Demanded.
Price per Unit
Quantity supplied
10
$5
50
20
30
$4
$3
40
30
40
50
$2
$1
20
10
Refer to Table 3.1. If the government imposes a price of $3.
a shortage will result.
Market is in equilibrium.
the price will fall to $1 because producers will be forced to incur losses.
a surplus will result.

The given information is as follows:A random sample of 150 teachers in an​ inner-city school district found that​ 72% of them had volunteered time to a local charitable cause within the past 12 months.

The formula for calculating the standard error of sample proportion is given as:$$Standard\(\ error=\frac{\sqrt{pq}}{n}$$\)where:p = proportion of success in the sampleq = proportion of failure in the samplen = sample sizeGiven:Sample proportion, p = 72% or 0.72Sample size, n = 150

The proportion of failure in the sample can be calculated as:q = 1 - p= 1 - 0.72= 0.28Substituting the known values in the above formula, we get:\($$Standard \ error=\frac{\sqrt{pq}}{n}$$$$=\frac{\sqrt{0.72(0.28)}}{150}$$$$=0.0372$$\)Rounding off to the nearest thousandth, we get the standard error of sample proportion as 0.037

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Answer:

38minutes

Step-by-step explanation:

41-3=38

Answer: -0.56 (with a line over the 5)

Step-by-step explanation:  I found my answer by dividing 5.000 by 9 which is 0.56. Then, I wrote a line over the 5, so that I don’t have to repeat the number 5, multiple times.

The calculated value of p in terms of m is (c) p = ±√m

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

m/p = r

Multiply through by p

So, we have

m = rp

Divide both sides by r

p = m/r

Also, we have

r = p

Substitute the known values in the above equation, so, we have the following representation

p = m/p

So, we have

m = p²

Take the square root of both sides

p = ±√m

This means that the value of p is p = ±√m

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Let's define the following variables.

x = the amount invested at 2%

y = the amount invested at 8%

0.02x = interest at 2% account

0.08y = interest at 8% account

If the total investment in both accounts is 17, 000 then, we can say that:

If the total interest earning in both accounts is 1,060 then, we can say that:

Now that we were able to form a system of equation, we can solve for the values of x and y using substitution method. Here are the steps.

1. Equation Equation 1 into y = .

2. Replace the value of y in equation 2 using equation 1.

3. Solve for x.

The value of x is 5,000. Hence, the amount invested at 2% is 5,000.

4. Solve for y using equation 1 and the calculated value of x.

The value of y is 12,000. Hence, the amount invested at 8% is 12, 000.

The integral of 41x^3 - 27 dx is 41/4 x^4 - 27x + c.

Calculating an integral is called integration. To determine the functions that will characterize the area, displacement, and volume that result from a combination of small data that cannot be measured separately, integrals are calculated.

The concept of limit is employed broadly in calculus whenever algebra and geometry are applied. Limits assist us in analyzing how points on a graph behave, such as how they approach one another until their distance approaches zero.

The indefinite integral of 41x^3 - 27 dx is given by:

∫(41x^3 - 27)dx = 41/4 x^4 - 27x + c

where c is the constant of integration.

Correct Question :

evaluate the integral. (remember to use absolute values where appropriate. use c for the constant of integration.) 41x^3 - 27 dx

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Answer:

3 * 45 = 135 which is NOT 180

45, 45, 90 would work

Step-by-step explanation:

hope it helps!

Some reasons why so many college students struggle to stick to a

budget are, Not Knowing where their money is going and Not determining wants vs. needs

We fix certain amounts for certain things and we want that our budget doesn't exceed so we can have some amount of money available to us for emergencies and for the future.

Some reasons are,

Making a spending plan is the first step every college student should take to take control of their finances. Students who have a spending plan can track where their money is going and identify areas where they might reduce their expenditure.

Although categorizing expenses and deciding what they truly need vs the desire to spend their money on may seem simple, many college students strive to live over their means.

Many college students misuse their credit cards, which leads to financial traps. Students who are thinking about using credit cards should first decide if credit is really a good alternative for them in order to avoid making mistakes with credit.

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The offered question seems to use a probability density function, yet the accompanying equation appears to have a mistake or missing information.

Because it does not describe a suitable distribution, the equation "f(y; 0) (0+1)0y-1 (1-y) = 0" is not a legitimate probability density function.It would be good to have the accurate and comprehensive equation for the probability density function or any more information about the issue in order to give a relevant response and properly answer the question. In order for me to help you appropriately, kindly offer the right equation or any further information.

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Answer:

No

Step-by-step explanation:

By multiplying each ratio by the second number of the other ratio, you can determine if they are equivalent.

Answer:

 xy

---------

x + y

Step-by-step explanation:

(xy)

-----  is in its simplest form.

(x + y)

I hope this helps!

Answer:

x-axis = (18, 0)

y-axis = (0, 12)

Quadrant I = (4.5, 10.6)

Quadrant II = (-15, 21)

Quadrant III = (-3/4, -4 1/9)

Quadrant IV = (3, -7)

Step-by-step explanation:

Hope this is helpful.

Answer:

m = 3/14

Step-by-step explanation:

m = y2-y1/x2-x1

coordinates used: (4,-1) (-10,-4)

(-4)-(-1) / (-10)-(4)

-3 / -14

m = 3/14

{Dear gosh, forgive me if I'm wrong!}

The lines are not parallel because the slope of the lines are not the same

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Line a : 4y + x = 8   be equation (1)

On simplifying the equation , we get

Subtracting x on both sides of the equation , we get

4y = -x + 8

Divide by 4 on both sides of the equation , we get

y = -x/4 + 2

So , the slope of the line a is m = -1/4

Line b : 2y + x = 4   be equation (2)

On simplifying the equation , we get

Subtracting x on both sides of the equation , we get

2y = -x + 4

Divide by 2 on both sides of the equation , we get

y = -x/2 + 2

So , the slope of the line a is m = -1/2

Line c : 2y = -3x + 6   be equation (3)

On simplifying the equation , we get

Divide by 2 on both sides of the equation , we get

y = -3x/2 + 3

So , the slope of the line a is m = -3/2

Now , the slopes of the lines are not same

Hence , the lines are not parallel

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-1 < x < 3

The given inequality is:

2 < 3x + 5 < 14

Step 1: Subtract 5 from all the sides of the inequality

2 - 5 < 3x + 5 - 5 < 14 - 5

-3 < 3x < 9

Step 2: Divide through by 3

The solution to the given inequality is -1 < x < 3

The graph for the solution of the inequality is given below:

The interval that does not describe the number of hours for about 50 % of the students is B. 9 to 14.

In order to gain a proper insight into the dataset, a holistic five-number summary is employed that accounts for the minimum value, first quartile (Q1), median, third quartile (Q3), and maximum value. Of these key components, Q1 defines the 25th percentile of the data while Q3 exhibits the 75th percentile.

As it stands, the median of this particular collection - 14 - denotes that half of the students are studying for less than 14 hours per week and the other half above the same timeframe.

This means that the interval that does not show 50 % would be 9 - 14 as this only shows 25 %.

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Options include:

A. 9 - 20

B. 9 - 14

C . 2 - 14