This is Section 3.2 Problem 2: The cost function, in dollars, for producing $x$ items of a certain brand of barstool is given by C(x)-0.01x3-0.6x2+13x+200 (a) C(x).03r- .12x +13 (b) MC(50)-82 dollars per barstool . It approximately represents the cost of producing the 50 th barstool (c) The exact cost of producing the 51th barstool is C 51 -c50 28.91 dollars (d) Using C(50) and MC (50), the total cost of producing 53 barstools is approximately -Select

Answer:

80 percent

20 for the first shaded multiply with 4 and its 80

The two square roots of the complex number 4√3 - 4i are:

x₀ = ±√2 cis(-π/12)

x₁ = ±√2 cis(5π/12)

The square roots of the complex number 4√3 - 4i, we can write it in polar form and use the properties of complex numbers.

First, let's convert 4√3 - 4i to polar form. We have:

r = √(4² + (-4)²)

= √(16 + 16)

= √32

= 4√2

θ = arctan(-4/4√3)

= arctan(-1/√3)

= -π/6 (since arctan(-1/√3) is in the fourth quadrant)

So, the polar form of the complex number is 4√2 cis(-π/6).

To find the square roots, we can use the square root property in polar form:

√z = ±(√r) cis(θ/2)

Let's calculate the square roots:

x₀ = ±(√(4√2)) cis((-π/6)/2) = ±(√(2√2)) cis(-π/12) = ±(√2) cis(-π/12)

x₁ = ±(√(4√2)) cis((π - π/6)/2) = ±(√(2√2)) cis(5π/12) = ±(√2) cis(5π/12)

Therefore, the two square roots of the complex number 4√3 - 4i are:

x₀ = ±√2 cis(-π/12)

x₁ = ±√2 cis(5π/12)

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Answer:

D

Step-by-step explanation:

f(-5) = 2|-5-5|

f(-5) = 2|-10|

f(-5) = 2 * 10

f(-5) = 20

f(0) = 2|0-5|

f(0) = 2|-5|

f(0) = 2 * 5

f(0) = 10

Answer: 164.32 miles

Step-by-step explanation:

Given that:

Weekly coverage :

Miles biked to the river = 0.86 miles

Miles biked along the river back home =. 2.3 miles

Total miles biked weekly:

(0.86 + 2.3) miles = 3.16 miles weekly

Number of weeks per year = 52

Miles biked yearly : (number of weeks per year * miles biked weekly)

= 52 * 3.16 miles

= 164.32 miles

Mrs endo will bike about 164.32 miles in a year.

Answer:

y = - \(\frac{1}{2}\) (x + 3)² + 4

Step-by-step explanation:

the equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

here (h, k ) = (- 3, 4 ) , then

y = a(x - (- 3) )² + 4 , that is

y = a(x + 3)² + 4

to ind a substitute the point (1, - 4 ) into the equation

- 4 = a(1 + 3)² + 4

- 4 = a(4)² + 4 ( subtract 4 from both sides )

- 8 = 16a ( divide both sides by 16 )

- \(\frac{8}{16}\) = a , that is

a = - \(\frac{1}{2}\)

y = - \(\frac{1}{2}\) (x + 3)² + 4 ← equation of parabola

Answer:

D is the answer

Step-by-step explanation:

Well 35 dollar one time fee

plus 15 per hour

If used 1 hour 15+35=50

Answer:

A

Step-by-step explanation:

The price of renting a boat goes up 15 per hour, which is the rate of change.

Answer:

kd00000000

Step-by-step explanation:

0,9,8hahahhahhhhahahah ban buster

The probability that Radesh is late on less than 3 days in a 6 day week is 0.7865.

To calculate the probability that Radesh is late on less than 3 days in a 6 day week,

Use the binomial distribution formula

P(X<3) = Σ (i=0 to 2) \(^{6} C_i\) \(0.35^i 0.65^{(6-i)\)

Here,

\(^{6} C_i\) is the number of ways to choose i days out of 6,

\(0.35^i\) is the probability that Radesh is late on i days,

And \(0.65^{(6-i)\) is the probability that he is on time on the remaining (6-i) days.

Now, Solve this equation:

⇒ P(X<3) = \(^{6} C_0\) 0.35 x 0.65 + \(^{6} C_1\) 0.35 x 0.65 + \(^{6} C_2\) 0.35 x 0.65

⇒ P(X<3) = 0.7865

Hence,

The required probability is 0.7865.

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Answer:

96 ftsq

Step-by-step explanation:

Assuming the patio is a rectangle, the area is length times width. 8 times 12 is 96

Answer:

9216 sq feet

Step-by-step explanation:

So, if his patio is, let's say, rectangle. The area is WIDTH X HEIGHT X WIDTH X HEIGHT.

your equation would be 12 x 8 x 12 x 8. You plug this into the calculator; the answer above is what you will get.

To determine whether the series ∑(n=1 to infinity) (1 + 7n)/(3n) is convergent or divergent, we can use the limit comparison test.

Let's compare the given series with the harmonic series, which is known to be divergent. The harmonic series is given by ∑(n=1 to infinity) 1/n.

Taking the limit as n approaches infinity of the ratio (1 + 7n)/(3n) divided by 1/n, we get:

lim(n→∞) [(1 + 7n)/(3n)] / (1/n)

= lim(n→∞) [(1 + 7n)(n/3)]

= lim(n→∞) [(n + 7n^2)/3n]

= lim(n→∞) [(1 + 7n)/3]

= 7/3

Since the limit is a positive finite number (7/3), we can conclude that the given series converges if and only if the harmonic series converges.

However, the harmonic series diverges. Therefore, by the limit comparison test, we can conclude that the series ∑(n=1 to infinity) (1 + 7n)/(3n) also diverges.

Hence, the series is divergent (DIVERGES).

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The method which the surveyor followed was the method of metes and bounds.

The surveyor followed a property's legal description by starting at a point of beginning, then following the indicated directions between natural and artificial landmarks to arrive back at the point of beginning, using the method called metes and bounds.

Metes and bounds are the natural markers that define the limits or boundaries of a piece of property. Rivers, roads, stakes, and other natural or artificial markers are examples of metes and bounds landmarks.

A system or method of representing land, real property (as opposed to personal property), or real estate is known as metes and bounds. The technique has been used in England for centuries and is still used to define general boundaries there.

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The new coordinates of the vertices are (-6,2), (-1,2), (4,-3).

In mathematics, translation refers to a geometric transformation that moves each point in a figure or a function a certain distance in a specific direction. This distance and direction are typically described using vector notation.

Let's say we have a point (x, y) in a coordinate plane and we want to translate it by a vector (a, b). The translated point would be (x+a,  y+b). In other words, we add the components of the vector to the coordinates of the point to get the new coordinates of the translated point.

Similarly, if we have a function f(x) and we want to translate it by a vector (a, b), we can do this by replacing x with x-a in the function, which will shift the function to the left by a units, and then adding b to the result, which will shift the function up by b units.

To translate the triangle 6 units to the left and 3 units down, we need to subtract 6 from the x-coordinates of all the vertices (to move the triangle to the left) and subtract 3 from the y-coordinates of all the vertices (to move the triangle down).

So, the new coordinates of the vertices are:

A': (0-6, 5-3) = (-6, 2)

B': (5-6, 5-3) = (-1, 2)

C': (10-6, 0-3) = (4, -3)

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Potted plants ordered last year = 6,57,230 (Indian Place Value System)

Pecentage of plants deducted = 10%

10% of 6,57,230 = 10/100 × 6,57,230

or, it can also be written as -

10/10 × 65,723

or,

65,723

Therefore, potted plants odered this year is 65,723

By the way, I'm an Indian : )

The marginal revenue function, locate the demand function is P = 0.02x² -0.025x + 152 when R'(x) = 0.06x² - 0.05x + 152.

Given that,

We have to find for the marginal revenue function, locate the demand function.

Remember that the income is zero if no things are sold:

R'(x) = 0.06x² - 0.05x + 152

p(x) is what.

We know that,

MR = dTR/dx = 0.06x² - 0.05x + 152

Integrating the marginal revenue function , we get total revenue function,

MR = TR

= (0.06x²⁺¹)/(2+1) - (0.05x¹⁺¹)/(1+1) + 152x

= (0.06x³)/3 - (0.05x²)/2 + 152 x

TR  = 0.02 x³ - 0.025 x² + 152 x

TR = (P)(Q) = (P)(x) =  0.02 x³ - 0.025 x² + 152 x

P = ( 0.02 x³ - 0.025 x² + 152 x)/x

P = 0.02x² -0.025x + 152

Therefore, The marginal revenue function, locate the demand function is P = 0.02x² -0.025x + 152 when R'(x) = 0.06x² - 0.05x + 152.

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Answer:

$30.47

Step-by-step explanation:

100%-15%=85%
85%=0.85
$35.85*0.85=30.47 (to 2d.p)
Hope this helps

Answer:

Assuming it's not a leap year you would make $3,130 if it's a leap year than $3,140.

Step-by-step explanation:

Hope it helps :)

Brainliest pls?

Have a good day/night

Answer:

It is 205 minutes.

Answer: $666

Step-by-step explanation: 306+ 60(6)= 666

Answer:

\(y = 12 + 6x\)

Step-by-step explanation:

Given

\(Base\ Amount = 12\)

\(Additional = 6\) per hour

Required

Determine the expression for the cost in x hours

Represent the cost with y

y is calculated using the following expression

\(y = Base\ Amount + Additional * x\)

Where x represent the number of hours.

Substitute values for the base amount of bike and the additional cost per hour

\(y = 12 + 6 * x\)

\(y = 12 + 6x\)

So, the expression to determine the cost of bike in x hours is: \(y = 12 + 6x\)

Answer:

c

Step-by-step explanation:

just took it

Answer:

D. 1

Step-by-step explanation:

CA = 17

ZA = 16

CZ + ZA = CA

CZ + 16 = 17

CZ = 1

D. 1

Answer:

check all below

Step-by-step explanation:

#1

1/6)^3

1/26 so answer 1 on number one

#2 what the heck is this 65+75= 140 not 120

65/120 = 54.16666% * 12600 = 6825 so 3

or 65/140 = 46.428% * 12600 = 5850

#3 number 4 makes the most since sense you get the WHOLE POPULATION

#4 1/5*1/2 or 1/10 = .10 * 100% = 10% or 3

#5

6+2+8+4 = 20

2 red marbles

2/20 = 1/10 = .10 * 100% = 10% or 2

Answer:

what ab this one?

Step-by-step explanation:

Simplify quantity x squared plus 5 x plus 6 end quantity over quantity x plus 2.

Can you help me with this one?

Elwood invested $5,000 in a money market account and has been tracking its progress. He found that after 3 years, the account held $7,100 and after 8 years, the account held $10,350.Use this information to complete the statements.Over the first 3 years, the value of the account increased at BLANK over the last 5 years. Over the entire 8 years, the value of the account increased at an average rate of approximately $BLANK annually.Line 1:a) a faster rate per year thanb) the same rate per year asc) a slower rate than Line 2:a) 650b) 700c) 720d) 670

An Entity-Relationship Diagram (ERD) reflects a system's key entities and the relationship among them.

Entity Relationship Diagrams, sometimes referred to as ER Diagrams, ER Models, or ERDs, are a sort of structural diagram used in database architecture. The key entities included in the system scope as well as the interactions between these entities are both visually represented by an ERD's various symbols and connectors.

An Entity-Relationship Diagram (ERD) reflects a system's key entities and the relationship among them.

ERDs are commonly used in database design to visually represent the structure of a database system. They depict entities (objects or concepts) and the relationships between them, helping to model the organization of data and the interactions between entities. ERDs typically consist of entities (represented as rectangles), attributes (represented as ovals), and relationships (represented as lines connecting entities).

Therefore, the correct answer is:

Entity-Relationship Diagram.

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The percentage increase of the number of seats is A = 33.3 %

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %

The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.

Percentage change is the difference between the measured value and the true value , as a percentage of the true value

Percentage change =( (| Measured Value - True Value |) / True Value ) x 100

Given data ,

Let the percentage increase in the number of seats be A

And , the total number of initial seats = 117 seats

The increased number of seats = 156 seats

Percentage change =( (| Measured Value - True Value |) / True Value ) x 100

On simplifying , we get

Percentage change P = [ ( 156 - 117 ) / 117 ] x 100

Percentage change P = ( 39/117 ) x 100

Percentage change P = 0.333 x 100

Percentage change P = 33.3 %

Hence , the percentage increase is 33.3 %

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The point (h, k), where h the x-coordinate, k is the y-coordinate, is where the parabola's vertex located. The vertex in this instance is at (2, 7).

A point or object in space can be located using a set of numbers called a coordinate. In a coordinate system, which serves as a reference framework for representing objects and their locations in a mathematical or graphical context, they are commonly used. A point's x-coordinate and y-coordinate, which reflect its position along the horizontal and vertical axes, respectively, can be used to locate it in two-dimensional space.

given

In order to solve x2-4x-3=0 using the completing the square method, we must add and subtract (4/2)2=4 from the left side of the equation as follows:

\(x^2 - 4x - 3 + 4 - 4 = 0\)

The first three terms can now be combined into one group and written as a perfect square:

\((x^2 - 4x + 4) - 7 = 0\)

Simplifying:

\((x - 2)^2 = 7\)

When both sides are squared:

x - 2 = ±√7

Calculating x:

x = 2 ± √7

As a result, the following are the answers to the quadratic equation x2-4x-3=0:

x = 2 + √7

x = 2 - √7

We must complete the square in the same manner to find the vertex, but this time we won't put the equation to zero:

\(x^2 - 4x - 3 = 0\\x^2 - 4x = 3\\(x^2 - 4x + 4) - 4 = 3\\(x - 2)^2 = 7\)

The point (h, k), where h the x-coordinate, k is the y-coordinate, is where the parabola's vertex located. The vertex in this instance is at (2, 7).

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Answer:

the answer is -72-41

Step-by-step explanation:

Answer: x=-4

Step-by-step explanation:

i'm assuming that you meant 92-17x=24 instead of -24 because that gives the answer -4

the goal of these equations is to get all the x variables on one side and all of the constants on the other side.

92-17x=-24

92-17x -92 =24 -92

-17x=-68

divide both sides by -17

x = -4

The value of the expression is 1.12 x 10^6

The expression is given as

(14.1 x 10^5) - (2.9 x 10^5)

Factor out 10^5 from the above expression

So, we have:

(14.1) x 10^5 - (2.9) x 10^5

Factor out 10^5 from the above expression

So, we have:

(14.1- 2.9) x 10^5

Evaluate the difference

11.2 x 10^5

Rewrite as

1.12 x 10^6

Hence, the value of the expression is 1.12 x 10^6

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Answer:

The value of the expression is 1.12 x 10^6

Step-by-step explanation:

A theorem which is used to find the rational solutions of a polynomial equation is known as the rational root theorem.

A polynomial expression is given and after solving them we get the two values known as the roots of the function.

These are also known as the zeros of polynomial as after putting these values in the equation we get the result as 0 .

We should use the rational root theorem only when the value of coefficients are small.

The theorem states that each rational solution x = p ⁄ q, when on simplified satisfies the below mentioned points,

p is an integer factor of the constant term a0, and

q is an integer factor of the leading coefficient an.

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