Find the maximum profit and the number of units that must be produced and sold in order to yield the maximum prolt Assume that revenue, R(x), and cost, C(x) of producing units are in dollars.
R(x) = 50x - 0.1x² . C(x) = 5x + 15

Answer:

5.5

Step-by-step explanation:

that is the answer....

Answer:

Simplify the expression=

− 3 x^ 2  +  2 x

It's the same thing in standard form.

Step-by-step explanation:

Answer:

-3x^2+2x

Step-by-step explanation:

Given statement solution is :- We cannot find the missing value from the given options (3656, 2739, 1841, 5418, or 3556).

The given sequence is: 5 2 1 4 0 0 7 2 8 1 m m 7 m 5 m A.

To find the missing value, let's analyze the pattern in the sequence. We can observe the following pattern:

The first number, 5, is the sum of the second and third numbers (2 + 1).

The fourth number, 4, is the sum of the fifth and sixth numbers (0 + 0).

The seventh number, 7, is the sum of the eighth and ninth numbers (2 + 8).

The tenth number, 1, is the sum of the eleventh and twelfth numbers (m + m).

The thirteenth number, 7, is the sum of the fourteenth and fifteenth numbers (m + 5).

The sixteenth number, m, is the sum of the seventeenth and eighteenth numbers (m + A).

Based on this pattern, we can deduce that the missing values are 5 and A.

Now, let's calculate the missing value:

m + A = 5

To find a specific value for m and A, we need more information or equations. Without any additional information, we cannot determine the exact values of m and A. Therefore, we cannot find the missing value from the given options (3656, 2739, 1841, 5418, or 3556).

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Answer:

The equation to be used is 4/8 × 8/12=1/3

Answer:

108°

Step-by-step explanation:

The sum of angles on a straight line is 180°

Therefore:

x + 72° = 180°

x = 180° - 72°

x = 108°

Therefore, the value of x is 108°

Answer:

4/13 hours

Step-by-step explanation:

Total pounds of lasagna = 4 1/3 pounds

Total time taken to cook = 1 1/3 hours

How many hours per pound did it take to cook the lasagna?

Hours per pound of lasagna = Total time taken to cook / Total pounds of lasagna

= 1 1/3 hours ÷ 4 1/3 pounds

= 4/3 ÷ 13/3

= 4/3 × 3/13

= 4/13 hours

It will take 4/13 hours to cook each pound of the lasagna

Answer:

area 1017.88

circumference 113.1

B area

C circumference

Step-by-step explanation:

πx18squared by 2≈ 1017.876 round the number to get 1017.88

2xπx18≈113.09 round it to get 113.1

The measure of the angle 4 and angle 6 is 84 degrees and the measure of angle 5 and angle 7 is 96 degrees.

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The equivalent equation to the (x² - 5)² - 3x² + 15 = -2 in form of 'm' is given by option c.  m² -3m + 2 = 0.

The equation is equal to,

(x² - 5)² - 3x² + 15 = -2

let the value of m be equals to x² - 5.

Simplify the equation we have,

⇒ ( x² - 5 )² - 3x² + 15 = -2

Take '3' common factor from the 3x² + 15 so that it get convert into x² - 5 we get,

⇒ ( x² - 5 )² - 3 (x² - 5 )  = -2

Now replace x² - 5 by m to get the equivalent equation,

⇒ ( m )² - 3 (m ) = -2

⇒ m² -3m + 2 = 0

Therefore, the equivalent equation to the given equation is written as option c.  m² -3m + 2 = 0.

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The risk factors should be considered when choosing a form of investment for your money is: interest rate and risk

Investment or investing means that an asset is bought, or that money is put into a bank to get a future interest from it.

While making an investment the investment consider:

So, The risk factors should be considered when choosing a form of investment for your money is: interest rate and risk

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Answer:

c

Step-by-step explanation:

The value of seaweed height that divides the bottom 30%  from the top 70% is 8.96 cm.

A normal distribution has symmetrically distributed data that is skew-free. As one proceeds away from the center, values tend to decrease and tend to cluster more frequently in that area. The mean, mode, and median of a normal distribution are all equal measures of central tendency.

Given data:

X: height of seaweed.

X~N (μ;σ²)

 μ= 10 cm    

 σ= 2 cm

We will calculate the value of the variable X that separates the bottom 0.30 of the distribution from the top 0.70

                P(X ≤ x) = 0.30

                P(X ≥ x) = 0.70

Now by using the standard normal distribution,

we have to find the value of Z that separates the bottom 0.30 from the top 0.70 and then use the formula

                       \(Z = \frac{X-\mu}{\sigma}\)

translates the Z value to the corresponding X value.

                    P(Z ≤ z) = 0.30

In the body of the table look for the probability of 0.30 and reach the margins to form the Z value. The mean of the distribution is "0" so below 50% of the distribution you'll find negative values.

                    z= -0.52

Now you have to clear the value of X:

                  \(Z = \frac{X-\mu}{\sigma}\)

                  X= (Z * σ) + μ

                 X = (-0.52 * 2)

                     = 8.96

hence, the value of seaweed height that divides the bottom 30%  from the top 70% is 8.96 cm.

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The sum of the given series is 1/5.

The given series is [infinity]∑ n = 1 an whose partial sums are given as sn = n^2−1/ 5n^2 +1. To calculate the sum of the series, we have to use the formula for finding the sum of the infinite series.

Formula:

The formula for finding the sum of an infinite series is given by:
S = lim n→∞ Sn

Where Sn is the sum of the first n terms of the series.

Explanation:

The given series is [infinity]∑ n = 1 an whose partial sums are given as sn = n^2−1/ 5n^2 +1.

The partial sum of the series is given as
Sn = n^2−1/ 5n^2 +1
= (n^2/5n^2) - (1/5n^2) + 1/ (5n^2 + 1)

As n→∞, the last term 1/(5n^2 + 1) approaches zero, so the sum of the series can be given as
S = lim n→∞ Sn
= lim n→∞ [ (n^2/5n^2) - (1/5n^2) + 1/ (5n^2 + 1)]
= lim n→∞ [ (1/5) - (1/5n^2) + 0]
= 1/5

Therefore, the sum of the given series is 1/5.

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The correct answer for y-intercept of the equation g(x) = (x - 4)(x + 1)(3 - x) is y = -12.

To find the x-intercepts of the equation g(x) = (x - 4)(x + 1)(3 - x), we set g(x) equal to zero and solve for x:

g(x) = 0

(x - 4)(x + 1)(3 - x) = 0

Setting each factor equal to zero:

x - 4 = 0 => x = 4

x + 1 = 0 => x = -1

3 - x = 0 => x = 3

Therefore, the x-intercepts of the equation g(x) = (x - 4)(x + 1)(3 - x) are x = 4, x = -1, and x = 3.

To find the y-intercept, we substitute x = 0 into the equation:

g(0) = (0 - 4)(0 + 1)(3 - 0) = (-4)(1)(3) = -12

Therefore, the y-intercept of the equation g(x) = (x - 4)(x + 1)(3 - x) is y = -12.

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The researcher will Eliminate the nonsignificant independence variable and rerun the regression.  

Meaning of multiple regression analysis: Multiple regression is a statistical technique that can be used to analyze the relationship between a single dependent variable and several independent variables. The objective of multiple regression analysis is to use the independent variables whose values are known to predict the value of the single dependent value.

When modeling the relationship between a single response variable and multiple regressor variables, multiple regression analysis is used.

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Step-by-step explanation:

-3x² + 2y² + 5xy -2y + 5x² - 3y²

= -3x² + 5x² +2y² -3y² + 5xy -2y

= 2x² - y² +5xy -2y

2 terms

To convert from ounces to grams, you must multiply the number of ounces by 28.34952. Therefore, 16 ounces multiplied by 28.35 will give you 453.59237 grams.

To convert 16 ounces to grams, we multiply 16 by 28.35, which gives us 453.59. Therefore, 16 ounces is equal to 453.59 grams. It is important to note that the conversion factor used is an approximation and may not be exact, as the exact conversion factor can vary based on the density of the material being measured.

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Answer:

member = 15

nonmember = 55

Step-by-step explanation:

m = member, n= nonmember

1m+6n=345

2m + 2n =140 (divide all by 2 )

m + n = 70

m= 70 - n

70-n + 6n =345

70 + 5n = 345

5n = 345-70

5n = 275

n = 275÷5

n = 55

m = 70 - 55 = 15

m=15

Answer:

Let's define the variables:

h: the number of hours the driver worked.

d: the number of miles the truck drove.

We know that the driver is paid $16 per hour, so the cost of the driver's labor is:

16h

We also know that the truck incurs an expense of $1.25 per mile driven, so the cost of gas and maintenance is:

1.25d

The total expenses for the driver, gas, and maintenance were $205, so we can set up the following equation:

16h + 1.25d = 205

We also know that the average speed of the truck was 20 miles per hour, so we can set up the following equation:

d = 20h

So the system of equations that could be used to determine the number of hours the driver worked and the number of miles the truck drove is:

16h + 1.25d = 205

d = 20h

These two equations can be solved simultaneously to find the values of h and d that satisfy both equations.

Option C: Less than \(\sqrt58\\\) inches but greater than 7 inches

Ramon wants to make an acute triangle with three pieces of wood. So far,

he has cut wood lengths of 7 inches and 3 inches.

What length must the longest side be in order for the triangle to be acute?

According to the property of triangle,

If the square of larger side of triangle is equating to the sum of square of smaller side.

If \(a^{2} < b^{2}+c^{2}\) the triangle is acute triangle.

where, 'a' is the larger side and 'b' ,'c' are the smaller side

According to the question, Let a =a , b = 7, c = 3

\(a^{2} < 7^{2}+3^{2}\\ a^{2} < 49+9\\ a < \sqrt58\)

Means to be acute triangle third side must be less than \(\sqrt58\) inches but greater than 7 inches.

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Answer:

less than 58 inches but greater than 7

Step-by-step explanation:

i got it right on edge

The given permutation (62848X) can be expressed as the product of disjoint cycles as (1 6 2 8 4) and as the product of transpositions as (1 6)(6 2)(2 8)(8 4).

To express the given permutation (62848X) as a product of disjoint cycles, we start by examining each element and its corresponding image under the permutation.

1 maps to 6.

6 maps to 2.

2 maps to 8.

8 maps to 4.

4 maps to 8 (since X represents a fixed point, meaning it remains unchanged).

Now, let's write these mappings as disjoint cycles:

(1 6 2 8 4)

The cycle notation indicates that 1 maps to 6, 6 maps to 2, 2 maps to 8, 8 maps to 4, and 4 maps back to 1.

Next, we'll express this permutation as a product of transpositions. A transposition swaps two elements.

We can achieve this by breaking down the cycle (1 6 2 8 4) into transpositions:

(1 6)(6 2)(2 8)(8 4)

Each pair of adjacent elements within the cycle forms a transposition. For example, (1 6) represents the transposition that swaps 1 and 6, (6 2) swaps 6 and 2, and so on.

Thus, the given permutation (62848X) can be expressed as the product of disjoint cycles as (1 6 2 8 4) and as the product of transpositions as (1 6)(6 2)(2 8)(8 4).

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0.06 is 10 times as much as 0.006.

0.006 times 10 equals 0.06

Answer:

$ 67. 14

Step-by-step explanation:

first you divide 36 miles by $25.20 to find the fare for one mile then multiply the answer with 47 miles

36 ÷ $25.20 = $1.43

$1.43 × 47 = $ 67. 14

hope you understood what I just said

Answer:

1. e

Step-by-step explanation:

18/3 +2(12-5)

=6+2(7)

=6+14

=20

\(\large\displaystyle\text{$\begin{gathered}\sf \frac{18}{3}+2(12-5) \end{gathered}$}\)

Divide 18 by 3 to get 6.

Therefore, the correct option is "E".

================================================================

\(\large\displaystyle\text{$\begin{gathered}\sf 30+\frac{4(4+1)}{2}-(3+1) \ \to \ \ [Add \ 4 \ plus \ 1] \end{gathered}$}\)

It seems that none of the options is correct.

Answer

The answer is 18, 24, 24, 25, 26, 28, 30, 32, 33, 44

Step-by-step explanation:

From lowest on the left to highest on the right

The z-score that separates the bottom 86% from the top 14% is 1.08 (option B).

Z-score is the number of standard deviations from the mean value of the reference population.

To find the z-score we can use a z-score table or calculator:

Z-score table can be used to calculate the area under a normal bell curve for a binomial normal distribution.

It shows the area to the left of a given z-score, so we can look for the area closest to 0.86 in the table. The z-score that corresponds to this area is 1.08.

Alternatively, we can use a calculator to find the inverse of the standard normal Cumulative Distribution Function (CDF). The CDF gives the area to the left of a given z-score, so we can use the inverse CDF to find the z-score that corresponds to a given area. In this case, we want the z-score that corresponds to an area of 0.86:
z = invNorm(0.86)

  = 1.08

Therefore, the z-score that separates the bottom 86% from the top 14% is 1.08 (option B).

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a) The correct values is,

At x = - 1; y = 5

At x =  1; y = - 3

At x = 2; y = - 4

At x = 4; y = 0

b) The correct graph of equation y = x² - 4x is shown in graph by green curve.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

a) Complete table is find as;

The equation is,

⇒ y = x² - 4x

Hence, We get;

At x = - 1;

⇒ y = x² - 4x

⇒ y = (-1)² - 4 × - 1

⇒ y = 1 + 4

⇒ y = 5

At x = 1;

⇒ y = x² - 4x

⇒ y = (1)² - 4 × 1

⇒ y = 1 - 4

⇒ y = - 3

At x = 2;

⇒ y = x² - 4x

⇒ y = (2)² - 4 × 2

⇒ y = 4 - 8

⇒ y = - 4

At x = 4;

⇒ y = x² - 4x

⇒ y = (4)² - 4 × 4

⇒ y = 16 - 16

⇒ y = 0

b) The equation is,

⇒ y = x² - 4x

At x = 0;

⇒ y = 0

Hence, The correct graph of equation y = x² - 4x is shown in graph by green curve.

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The system of equations has no solution because both equations are inconsistent. In other terms, the equation system is said to be inconsistent.

A mathematical theorem is a technique that connects two statements and utilizes the equivalent symbol (=) to signify equality. In algebra, an equation describes a mathematical statement that shows the equivalence of two formulas. For example, in the computation 3x + 5 = 14, the equal sign inserts a space between the values 3x + 5 and 14. A mathematical formula can be used to explain the connection that exists between the sentences written across each side of a letter. The logo and the programming are sometimes the same. For example, 2x - 4 equals 2.

In the first equation, the left side has 3+2+3 while the right side has 7(-1)-4. We get 8 by simplifying the left side. We get -11 by simplifying the right side. Thus far, we have:

8 = -11

Because this is not true, the first equation is incoherent.

In the second equation, the left side has 3+5 while the right side has 7(-1)-4. We get 8 by simplifying the left side. We get -11 by simplifying the right side. Thus far, we have:

8 = -11

This is likewise false, so the second equation is similarly flawed.

The system of equations has no solution because both equations are inconsistent. In other terms, the equation system is said to be inconsistent.

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Answer:

the 10 dozen equals 120

the 30 half dozen 180

120+180=300 bagels

300 bagels is your answer