An item is marked down 10% each week until it sells. If the item is priced at $150 what is the cost after 3 weeks? 6 weeks?

Answer: 10g/mL I hope this helps answer your question

The first derivatives for the given functions are:

For \(y = 3x^2 + 5x + 10,\) the first derivative is dy/dx = 6x + 5.

For  \(y = 100200x + 7x,\) the first derivative is dy/dx = 100207.

For \(y = ln(9x^4),\) the first derivative is dy/dx = 4/x.

To find the first derivative for each of the given functions, we'll use the power rule, constant rule, and chain rule as needed.

For the function\(y = 3x^2 + 5x + 10:\)

Taking the derivative term by term:

\(d/dx (3x^2) = 6x\)

d/dx (5x) = 5

d/dx (10) = 0

Therefore, the first derivative is:

dy/dx = 6x + 5

For the function y = 100200x + 7x:

Taking the derivative term by term:

d/dx (100200x) = 100200

d/dx (7x) = 7

Therefore, the first derivative is:

dy/dx = 100200 + 7 = 100207

For the function \(y = ln(9x^4):\)

Using the chain rule, the derivative of ln(u) is du/dx divided by u:

dy/dx = (1/u) \(\times\) du/dx

Let's differentiate the function using the chain rule:

\(u = 9x^4\)

\(du/dx = d/dx (9x^4) = 36x^3\)

Now, substitute the values back into the derivative formula:

\(dy/dx = (1/u) \times du/dx = (1/(9x^4)) \times (36x^3) = 36x^3 / (9x^4) = 4/x\)

Therefore, the first derivative is:

dy/dx = 4/x

To summarize:

For \(y = 3x^2 + 5x + 10,\) the first derivative is dy/dx = 6x + 5.

For y = 100200x + 7x, the first derivative is dy/dx = 100207.

For\(y = ln(9x^4),\) the first derivative is dy/dx = 4/x.

For similar question on derivatives.

https://brainly.com/question/31399608

#SPJ8

Answer:

c

Step-by-step explanation:

45 + 50 = 90

hope it help !

can you help to answer my question,

if it is best, better or good ,i will give you brainliest.

Step-by-step explanation:

in order to tell if a set of ordered pairs is proportional, look at the ratio of y to x. to determine if the following equation show a proportional relationship, put a 0 in for x and solve for y. hope it helps

Answer:

x = 3

Step-by-step explanation:

A segment joining the midpoints of 2 sides of a triangle is half the length of the third side, then

\(\frac{1}{2}\) × 2x = 3

x = 3

It may involve using logical equivalences or truth tables to demonstrate that p(n) is true for all possible values of n.

Without knowing the specific propositional function p(n), it is not possible to determine for which positive integers n the statement p(n) must be true.

However, in general, to determine for which values of n the statement p(n) must be true, we would need to carefully analyze the definition of p(n) and any given conditions or constraints on n. This may involve using logical reasoning, algebraic manipulation, or even induction.

To justify our answer, we would need to provide a clear and rigorous argument that demonstrates why p(n) is true (or false) for all appropriate values of n. This could involve showing that p(n) is true for a specific base case (such as n = 1), and then using induction to prove that p(n) is true for all larger values of n. Alternatively, it may involve using logical equivalences or truth tables to demonstrate that p(n) is true for all possible values of n.

Learn more about propositional

brainly.com/question/18545645

#SPJ11

Step-by-step explanation:

\(67.4+43.2+27.3=137.9\), which is 138 to 3 sf.

Answer:of not

Step-by-step explanation: ops

Answer:

2 miles = 3218.6m

3km = 3000m

ATQ, 2 miles - 3km = 3218.6m - 3000m =

218.6m

To solve this problem, we can use a ratio proportion.
Let's assume that the store currently has x part-time workers and y full-time workers.
According to the problem, the ratio of part-time workers to full-time workers is 1:4. Therefore, we can write:
x/y = 1/4
Next, the problem states that if 5 part-time workers were hired, then the ratio would be 3:5. This means that the new ratio of part-time workers to full-time workers would be:
(x+5)/y = 3/5
Now we have two equations with two variables:
x/y = 1/4
(x+5)/y = 3/5
We can solve for x and y by cross-multiplying:
5x = y
15x + 75 = 12y
Substituting 5x for y in the second equation:
15x + 75 = 12(5x)
15x + 75 = 60x
60x - 15x = 75
45x = 75
x = 75/45 = 5/3
Since we can't have a fraction of a worker, we can round up to the nearest whole number.
Therefore, the store has 2 part-time workers and 10 full-time workers.
In summary, using the given ratios and information, we were able to solve for the number of part-time and full-time workers in the store.

To know more about Ratio proportion visit:

https://brainly.com/question/14023900

#SPJ11

The probability that a randomly chosen plant is detected incorrectly is 0.02965 = 2.965%.

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

Using the above as a guide, we have the following:

Probability = 2% * 3.5% + 3% * 96.5%

Evaluate

Probability = 0.02965

Rewrite as

Probability = 2.965%

Hence, the probability is 2.965%.

Read more about probabilities at

https://brainly.com/question/31649379

#SPJ4

Question

The test to detect the presence of a certain protein is 98% accurate for corn plants that have the protein and 97% accurate for corn plants that do not have the protein.

If 3.5% of the corn plants in a given population actually have the protein, the probability that a randomly chosen plant is detected incorrectly is

Answer:

Step-by-step explanation:

okay hopefully i could explain it fast for you but

christian tree             jaida's tree

0 0                               0   0

1  1.5                              1  1.75

6  9                               6  10.5

11  16.5                          11  19.25

12   18                             12  21

13   19.5                           13  22.75

Answer:

the coordinates from all of the transformations are (1,0) (3,0) (5,-3) (0,-3)

Step-by-step explanation:

after using the first rule the coordinates were (-1,0)(-3,0)(-5,3)(0,3)

after reflectiong it over the x-axis (-1,0)(-3,0)(-5,-3)(0,-3)

after reflecting it over the y-axis it gave the final answer of (1,0) (3,0) (5,-3) (0,-3)

Answer:

We can write the inequality as:

p > 175 (since the cost of the coat must be greater than $175)

and

p ≤ 430 (since the shopper cannot spend more than $430)

Combining these two inequalities, we get:

175 < p ≤ 430

Therefore, the prices p of coats that the shopper can buy must satisfy the inequality 175 < p ≤ 430

Step-by-step explanation:

I am seeking friends , add me on sn ap = m_oonlight781 and we can do school stuffs togetherwaiting

The required approximation of the number of CD's represented by the shaded sector of the circle is 850.

A circle is a shut two-layered figure wherein the arrangement of the relative multitude of center in the plane is equidistant from a given point called "focus". Each line that goes through the circle frames the line of reflection evenness. Additionally, it has rotational balance around the middle for each point.

We have,

The entire circle represents a total of 2875 CD's sold

So, we can say that shaded part is slightly more than the one-fourth of total part of the circle.

So,

2875/4 = 718 +

Thus, approx 850 CD's are sold.

To know more about circle visit:

brainly.com/question/12711347

#SPJ1

Answer:

0.054978 litros, redondeado a la millonésima de cm ^ 3 más cercana

Step-by-step explanation:

El volumen del cilindro =

(pi) (radio) ^ 2 * altura =

(pi) (1 cm / 2) ^ 2 * 70 cm =

(pi) (0.5) ^ 2 * 70 cm ^ 3 =

54.978 cm ^ 3, redondeado a la milésima de cm ^ 3 más cercana

Dado que 1 litro = 1000 cm ^ 3,

El volumen del cilindro =

54,978 / 1000 =

0.054978 litros, redondeado a la millonésima de cm ^ 3 más cercana

i think its three, nine

An equation that represents the relationship is y = 0.01x.

In Mathematics, a proportional relationship can be defined as a type of relationship that generates equivalent ratios. Also, it passes through the origin (0, 0) and it can be modeled by the following mathematical expression:

y = kx

Where:

Next, we would determine the constant of proportionality (k) as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = 1/90

Constant of proportionality, k = 0.01.

Therefore, the required equation is given by:

y = kx

y = 0.01x

Read more on proportional relationship here: brainly.com/question/28350476

#SPJ1

The type of ANOVA used when there are two independent variables each with more than two levels, and with different participants taking part in each condition is called a Two-Way Between-Subjects ANOVA.

This type of ANOVA examines the effects of two independent variables on a dependent variable. The two independent variables are referred to as factors, and each factor has multiple levels or conditions. The between-subjects design means that each participant only takes part in one condition of each factor.

This type of ANOVA allows researchers to determine if there are significant main effects and interactions between the two independent variables on the dependent variable.

Learn more about dependent variable.

https://brainly.com/question/29430246

#SPJ4

Answer:

B

Step-by-step explanation:

It only has numbers less than 1, when multiplying that means you can't get over 1

the answer is B

hope this helps : )

The student earned a total of 6 points by correctly using definite integrals to find f(-2) and f(2), identifying the critical values and absolute minimum value of f(x) and finding f''(-5).

The student earned a total of 6 points in the problem. They earned 3 points in for using an appropriate definite integral to find f(-2), and another point for using a definite integral to find f(2). They did not earn any points.

In next part, they earned 2 points for identifying where f'(x) = 0, and identifying the absolute minimum value of f(x) at x=2. In part (d), they earned 1 point for finding f''(-5), but did not earn the second point due to a contradiction in their reasoning about the differentiability of f(x) at x=3.

To know more about absolute minimum value:

https://brainly.com/question/29449130

#SPJ4

Answer:

B

Step-by-step explanation:

7 - a + 3

subtract 7 from both sides.

-a = 3 - 7

add like terms (3 + - 7)

-a = -4

divide both sides by -1. (remember that in front of the a, a 1 is there.)

a = 4

answer: b. 4

Answer:

43 4445 itmean near divide by 5

Perimeter of square

Perimeter of two sides of triangle:-

Perimeter of circle excluding diameter line

Total perimeter

Answer:

The value of the car after two years is $14,100.025

Step-by-step explanation:

Here, we want to calculate the value of a car after its second year, given the depreciation percentage.

To get the value of the car year after year at the fixed percentage level, what we do is to set up an exponential equation;

V = I(1-r)^t

where V is the present value

I is the initial value = $25,000

r is the rate = 24.9% = 24.9/100 = 0.249

t is the number of years = 2 in this case

So we substitute these values in the depreciation case and have;

V = 25000(1-0.249)^2

V = 25000(0.751)^2

V = $14,100.025

The equation of the hyperbola for the cross section of the cooling tower is x²/8100 - y²/9506.25 = 1.

We must take into account its characteristics in order to formulate the hyperbola's equation for the cooling tower's cross section.

Since the origin serves as the hyperbola's centre, its coordinates are (0, 0).

The left/right opening of the hyperbola indicates that the primary axis is horizontal.

The cooling tower's smallest diameter is 180 metres, which is the same length as the minor axis.

The primary axis' 195 m length and the diameter at its highest point are matched.

The hyperbola's highest point is 80 metres above the centre.

These characteristics allow us to write the hyperbola's equation in standard form:

(x - h)²/a² - (y - k)²/b² = 1

Where (h, k) represents the center of the hyperbola.

Substituting the given values:

Center: (h, k) = (0, 0)

Minor axis: 2a = 180 m, so a = 90 m

Major axis: 2b = 195 m, so b = 97.5 m

Vertical shift: c = 80 m

Now we can write the equation of the hyperbola:

x²/90² - y²/97.5² = 1

Simplifying, we have:

x²/8100 - y²/9506.25 = 1

To learn more about hyperbola link is here

brainly.com/question/19989302

#SPJ4

Answer:

A) The aircraft rose quickly into the air at takeoff, and then it continued at a constant altitude

Step-by-step explanation:

The line in the graph quickly rose up and it was straight for the rest so it matches the senerio that A is giving

To determine the magnification values of the proportional controller (P), the integral proportional controller (PI), and proportional controller of integral derivatives (PID) using the Ziegler-Nichols method, we need to follow a few steps. I'll guide you through the process:

Step 1: Determine the open-loop transfer function (Gm(s)) of the process. Given:

Gp(s) = 10/((s + 2)(2s + 1))

To obtain the open-loop transfer function, we need to set the controller gain to 1. Therefore, Gm(s) = Gp(s).

Step 2: Find the frequency at which the magnitude of Gm(s) crosses 0 dB (decibels). This frequency is called the ultimate frequency (fu). We can determine fu by finding the frequency at which the phase angle of Gm(s) is -180 degrees.

Step 3: Calculate the ultimate gain (Ku) at the ultimate frequency (fu). Ku is the magnitude of Gm(s) at fu.

Step 4: Use the values of fu and Ku to determine the appropriate controller gains based on the Ziegler-Nichols method.

Now, let's calculate these values.

Step 1: Open-loop transfer function (Gm(s)) is the same as Gp(s):

Gm(s) = 10/((s + 2)(2s + 1))

Step 2: To find the ultimate frequency (fu), we need to find the frequency at which the phase angle of Gm(s) is -180 degrees.

At s = jω (where j is the imaginary unit), the magnitude of Gm(s) is given by:

|Gm(jω)| = 10/|((jω + 2)(2jω + 1))|

To find the frequency at which the phase angle is -180 degrees, we need to solve the following equation:

arg(Gm(jω)) = -180 degrees

Step 3: Once we determine the ultimate frequency (fu), we can find the ultimate gain (Ku) at that frequency by substituting ω = 2πfu into |Gm(jω)|.

Step 4: Based on the Ziegler-Nichols method, we can determine the controller gains as follows:

Proportional Controller (P):

Gain (Kp) = 0.5 * Ku

Integral Proportional Controller (PI):

Gain (Kp) = 0.45 * Ku

Integral Time (Ti) = Tu/1.2

Proportional Controller of Integral Derivatives (PID):

Gain (Kp) = 0.6 * Ku

Integral Time (Ti) = Tu/2

Derivative Time (Td) = Tu/8

Now that we have the steps and formulas, let's calculate the values for the given process.

Step 2 (cont.): Solving the equation arg(Gm(jω)) = -180 degrees, we find:

10/|((jω + 2)(2jω + 1))| = -180 degrees

By evaluating the expression above for various ω values, we find that ω = 3.16 rad/s is the frequency at which the phase angle is -180 degrees.

Step 3 (cont.): Substituting ω = 2πfu = 2π * 3.16 rad/s into |Gm(jω)|, we get:

|Gm(jω)| = 10/|((j * 3.16 + 2)(2j * 3.16 + 1))|

Calculating the magnitude, we find that Ku = 2.53.

Step 4 (cont.): Now, using the Ku value, we can calculate the appropriate controller gains:

Proportional Controller (P):

Kp = 0.5 * Ku = 0.5 * 2.53 = 1.265

Integral Proportional Controller (PI):

Kp = 0.45 * Ku = 0.45 * 2.53 = 1.1385

Ti = Tu/1.2 = 3.16/1.2 = 2.6333

Proportional Controller of Integral Derivatives (PID):

Kp = 0.6 * Ku = 0.6 * 2.53 = 1.518

Ti = Tu/2 = 3.16/2 = 1.58

Td = Tu/8 = 3.16/8 = 0.395

To summarize, the magnification values for the Ziegler-Nichols method are as follows:

Proportional Controller (P):

Gain (Kp) = 1.265

Integral Proportional Controller (PI):

Gain (Kp) = 1.1385

Integral Time (Ti) = 2.6333

Proportional Controller of Integral Derivatives (PID):

Gain (Kp) = 1.518

Integral Time (Ti) = 1.58

Derivative Time (Td) = 0.395

These values can be used to configure the respective controllers for the given process.

To know more about integral proportional controller (PI), visit :

https://brainly.com/question/32458820

#SPJ11