if tanA=squareroot3-1/squareroot3+1,prove that cosA=squareroot3+1/2squareroot2.

Let x be the quantity of the product sold and y be the profit.Let's first find the slope of the line:When 1000 products are sold, the profit is $2100.When 2000 products are sold, the profit is $2900.

m = (2900 - 2100)/(2000 - 1000)m

= 800/1000m

= 0.8Therefore, the profit function can be written as:y

= 0.8x + bTo find b, we can substitute either x or y with the known values. Let's use x

= 1000 and y

= 2100:y

= 0.8x + by

= 0.8(1000) + b2100

= 800 + bb

= 1300Therefore, the profit function for the company is:y

= 0.8x + 1300The marginal profit is the derivative of the profit function:m(x)

= dy/dxm(x)

= 0.8Thus, the marginal profit is 0.8.

To know more about slope visit:
https://brainly.com/question/3605446

#SPJ11

Answer:

3,6

Step-by-step explanation:

Answer:

This is a function and there is no value of x for which we will get two or more different values of y.

Step-by-step explanation:

Now, this is a function and there is no value of x for which we will get two or more different values of y

The equation is y = 2x

bye

Answer:

The least degree of the polynomial that assures an error smaller than 0.001 is 4.

The Lagrange error bound for the Taylor polynomial of degree n centered at x=2 for e^x is given by:

```

|e^x - T_n(x)| < \frac{e^2}{(n+1)!}|x-2|^{n+1}

```

where T_n(x) is the Taylor polynomial of degree n centered at x=2.

We want the error to be less than 0.001, so we have:

```

\frac{e^2}{(n+1)!}|x-2|^{n+1} < 0.001

```

We can solve for n to get:

```

n+1 > \frac{e^2 \cdot 1000}{|x-2|}

```

We know that |x-2| = 0.45, so we have:

```

n+1 > \frac{e^2 \cdot 1000}{0.45} \approx 6900

```

Therefore, n > 6899.

The least integer greater than 6899 is 6900, so the least degree of the polynomial that assures an error smaller than 0.001 is 4.

The fourth-degree Taylor polynomial centered at x=2 for e^x is given by:

```

T_4(x) = 1 + 2x + \frac{x^2}{2} + \frac{x^3}{6} + \frac{x^4}{24}

```

We can use this polynomial to estimate e^1.45 as follows:

```

e^1.45 \approx T_4(1.45) = 4.38201

```

The actual value of e^1.45 is 4.38202, so the error in this approximation is less than 0.001.

Step-by-step explanation:

The statistical method that would be best to use in this situation is b) Regression analysis.

Regression analysis is a statistical technique used to examine the relationship between a dependent variable (in this case, the number of students registering each semester) and one or more independent variables (such as time, semester, or any other relevant factors). By analyzing past data on the number of students registering each semester, regression analysis can help identify trends, patterns, and the average number of students registering.

Using regression analysis, the university can estimate the average number of students registering each semester based on historical data and use this information to plan how many classes to run in the upcoming semester. It allows for a quantitative analysis and prediction based on the relationship between variables, making it a suitable choice for estimating the average number of students in this scenario.

Hence the answer is Regression analysis.

Learn more about Regression analysis click;

https://brainly.com/question/31873297

#SPJ12

Answer:

Inez ran the mile in 5 minutes and 20 seconds

Great had the fastest time.

Her mile was faster by 20 seconds.

Step-by-step explanation:

To find the area of trapezoid ACDG, which is made up of parallelogram ABFG, triangle BEF, and square BCDE, we'll first need to identify the area of each component and add them together. The area of trapezoid ACDG is the sum of the areas of parallelogram ABFG, triangle BEF, and square BCDE.


1. We are given the area of trapezoid ABEG, which consists of parallelogram ABFG and triangle BEF. Since the area of trapezoid ABEG is 120 square inches, we can use this information to find the combined area of parallelogram ABFG and triangle BEF.
2. To find the area of square BCDE, we need more information about its side length or a related dimension. Without that information, we cannot determine the area of square BCDE.
3. Once we have the area of square BCDE, we can add it to the combined area of parallelogram ABFG and triangle BEF to find the total area of trapezoid ACDG.

In conclusion, without the necessary information about the dimensions of square BCDE, we cannot provide a specific value for the area of trapezoid ACDG. However, the method to find the area would be to add the areas of parallelogram ABFG, triangle BEF, and square BCDE.

To know more about areas of parallelogram visit :

https://brainly.com/question/8032559

#SPJ11

Answer:

270

Step-by-step explanation:

108 divided by 24 is 4.5. 4.5 is how many gallons per hour. then, 4.5 times 60 equals 270.

Answer:

(3 houses/acre)(100 acres)(.5) =

150 houses

The remaining land is 50 acres (100-50), and the builder plans to build three houses per acre. So, the number of houses that can be built on this property is (50 x 3) = 150 acres.

First, let's determine how much of the 100-acre plot is left for building houses after setting aside land for the school, playground, roads, drainage ditches, sidewalks, and the strip shopping area with parking and buffer.

1. School and playground: 20% of 100 acres = 0.20 * 100 = 20 acres
2. Roads, drainage ditches, and sidewalks: 15% of 100 acres = 0.15 * 100 = 15 acres
3. Strip shopping area with parking and buffer: 15% of 100 acres = 0.15 * 100 = 15 acres

Now, add up these reserved areas: 20 acres + 15 acres + 15 acres = 50 acres

The builder has set aside 20 acres for the school and playground, 15 acres for roads, drainage ditches, and sidewalks, and another 15 acres for the strip shopping area with parking and buffer. Therefore, the total area that has been allocated is 50 acres (20+15+15).

Subtract the total reserved area from the total plot area to find the area available for building houses: 100 acres - 50 acres = 50 acres

Since the builder plans to build three houses per acre, we can multiply the available area by the number of houses per acre: 50 acres * 3 houses/acre = 150 houses

The builder can build 150 homes on this property.

Learn more about Acres:

brainly.com/question/24239744

#SPJ11

The dot product of vectors x and y with magnitudes 5 and 4 units, respectively, is 20 units, indicating that they are parallel to each other and in the same direction.

From the given information, we know that the magnitudes of vectors x and y are 5 and 4 units, respectively, and their dot product is 20 units.

To find the angle between vectors x and y, we can use the formula:

cos(theta) = (x.y) / (|x| * |y|)

Substituting the given values, we get:

cos(theta) = 20 / (5 * 4)
cos(theta) = 1

This implies that the angle between vectors x and y is 0 degrees, which means that they are parallel to each other.

Thus, we can conclude that vectors x and y are parallel and in the same direction.



Given the magnitudes of vectors x and y and their dot product, we can determine their relationship and direction. The dot product is the product of their magnitudes and the cosine of the angle between them. Using this formula, we found that the angle between vectors x and y is 0 degrees, indicating that they are parallel to each other. Therefore, we can conclude that vectors x and y are parallel and in the same direction. This information can be useful in various mathematical and physical applications, such as determining the force required to move an object in a particular direction.



In conclusion, the dot product of vectors x and y with magnitudes 5 and 4 units, respectively, is 20 units, indicating that they are parallel to each other and in the same direction. This information can be useful in various mathematical and physical applications.

To know more about vectors  visit:

brainly.com/question/30958460

#SPJ11

Answer: i believe it’s 12ft

Step-by-step explanation:

Answer:

The slope is 1 and the y-intercept is 3.

Step-by-step explanation:

Answer:

Step-by-step explanation:

just think of the parts of an equation as just regual number

a = 5      b = 8      a × b  =  5 × 8     =  40

now f(x) =  x² + 3x     and g(x) = 2x²      

f(x) × g(x)      =     (x² + 3x) × (2x²)

                    =     (x² × 2x²) + (3x × 2x²)

                    =     2x^4  + 6x^3

f(x) × g(x)  = 2x^4  + 6x^3    < ------------------ FINAL ANSWER

let x =2   in (x² + 3x) × (2x²)  

        (2² + 3×2) × (2×2²) = (4+6) (8) = (10×8) = 80

f(x) × g(x)  = 2x^4  + 6x^3

      =  2×16 + 6×8

      = 32 + 48

      = 80      it checks as correct

We are told that Jason has $325 and that he earns $105 per week. That means that if "w" is the number of weeks then the amount of money he has in total is what he has saved by the product of $105 by the number of weeks. That is, if A is the amount he has, then:

Now, we are asked how many weeks it takes to get to $900. This means that we set A = 900 and solve for "w".

To solve for "w" we first subtract 325 on both sides:

Now we divide both sides by 105

Solving the operations:

Therefore, it takes Jason 5.5 weeks to get to $900

Rounding to two decimal places, the minimum acceptable weight of a box of cookies is 15.42 ounces.

weight of the boxes of cookies follows a normal distribution with a mean of 16 ounces and a standard deviation of 0.25 ounces.

To find the minimum acceptable weight of a box of cookies, we need to find the value that corresponds to the 1st percentile of the normal distribution.

Using a standard normal distribution table or calculator, we find that the z-score corresponding to the 1st percentile is approximately -2.33.

We can use the formula z = (x - μ) / σ, where x is the minimum acceptable weight, μ is the mean, and σ is the standard deviation, to solve for x.

Plugging in the values, we get:

-2.33 = (x - 16) / 0.25

Solving for x, we get:

x = -2.33 * 0.25 + 16 = 15.4175

Rounding to two decimal places, the minimum acceptable weight of a box of cookies is 15.42 ounces.

to  learn  more about deviation click here:brainly.com/question/31835352

#SPJ11

The probability of being a senior is the total number of seniors divided by the total number of students.

The probability of a student walking given that they are seniors can be calculated using Bayes' theorem. Bayes' theorem is a formula that relates conditional probabilities to their inverses. The formula is: P(A|B) = P(B|A) P(A) / P(B)where P(A|B) is the probability of event A given that event B has occurred. In this case, A is "walking" and B is "senior." P(B|A) is the probability of being a senior given that the student is walking, P(A) is the probability of walking, and P(B) is the probability of being a senior. We can also represent the above formula in the form of a tree diagram, where P(walk | senior) is one branch of the tree.

The probability of being a senior is represented by the root of the tree, while the probability of walking is represented by a branch from the root. The probability of walking given that the student is a senior is calculated by dividing the probability of a senior walking by the probability of being a senior. The probability of walking can be calculated by adding up the probabilities of walking for each grade level and dividing by the total number of students.

for more search question probability

https://brainly.com/question/25839839

#SPJ8

An Endure chosen randomly the likelihood of any battery lasting longer than 550 hours is 10.56%.

These steps are used to determine the Z score:

z = (x - μ)/σ

As mentioned in question-

x > 550 and μ = 500, σ = 40:

z = 550 - 500 / 40

z = 1.25

Obtain the p-value from normal distribution chart,

P(z > 1.25) = 1 - P(z < 1.25)

P(z > 1.25) = 1 - 0.8944

P(z > 1.25) = 0.1056

Thus, an Endure chosen at random the likelihood of any battery lasting longer than 550 hours is 10.56%.

To know more about the z score, here

brainly.com/question/21781956

#SPJ4

The true statements include:

B. The next time the clothing store will receive shipments of both jeans and dresses is in 24 days.

C. The next time the clothing store will receive shipments of both sweaters and dresses is in 40 days.

It should be noted the information is simply about factor. In this case, you've to look at the least common factors between the terms.

Therefore, the next time the clothing store will receive shipments of both jeans and dresses is in 24 days. This is because 6 and 8 has a LCM of 24.

Also, the next time the clothing store will receive shipments of both sweaters and dresses is in 40 days.

Learn more about clothing on:

brainly.com/question/24799048

#SPJ1

Answer:

168=18·x+12·2x

Step-by-step explanation:

try and split the shape into 2 rectangles to picture it .

Answer:

c = 36

Step-by-step explanation:

If the coefficient of \(x^{2}\) is one, then c = \((\frac{12}{2}) ^{2} = 6^{2} = 36\)

The volume of the solid obtained by rotating the region bounded by y = x^2 and y = 6 about the line x = -3 is approximately 481.39 cubic units.


To find the volume of the solid, we can use the method of cylindrical shells. The region bounded by y = x^2 and y = 6 in the first quadrant is a parabolic shape above the x-axis.
To set up the integral for the volume, we consider an infinitesimally small vertical strip of thickness Δx at a distance x from the line x = -3. The height of the strip is given by the difference between the two curves: h = 6 – x^2. The circumference of the cylindrical shell is given by the formula 2πr, where r is the distance between x and the line x = -3, which is r = x + 3.

The volume of the infinitesimal shell is then given by dV = 2π(x + 3)(6 – x^2)Δx. Integrating this expression from x = 0 to x = 3, we obtain the volume V = ∫[0,3] 2π(x + 3)(6 – x^2)dx. Evaluating this integral, we find V ≈ 481.39 cubic units.
In summary, the volume of the solid obtained by rotating the region bounded by y = x^2 and y = 6 about the line x = -3 is approximately 481.39 cubic units.

Learn more about Method of cylindrical shells here: brainly.com/question/31259146
#SPJ11

Answer:

where's the table. on és la taula?

Step-by-step explanation:

Answer:

Step-by-step explanation To determine if a number is prime or composite, follow these steps: Find all factors of the number. If the number has only two factors, 1 and itself, then it is prime. If the number has more than two factors, then it is composite.

Step-by-step explanation:

prime is a number that another number can go into except 1, composite is a number that cannot be divided by anything but 1

Answer:

Step-by-step explanation:

1. If PQ = PQ then PQ ≅ PQ

 Reflexive Property of congruence

2. If K is between J and L, then JK + KL = JL

 Segment addition property

3. EF ≅ EF

 Definition of congruence

4. If RS = TU, then RS + XY = TU + XY

 Addition property of equality

5. If AB = DE, then DE = AB

 Symmetric property of equality

Answer:

20 %

Step-by-step explanation:

$10/100%    $2/?

10/ what to get 2 so you do 10/5=2 so 100/5= 20.

Answer:

if my math is correct

Step-by-step explanation:

2501.50

2504.65