calculus. please answer and thank uFind the derivative of the function using the definition Then evaluate the derivative at the given point (X) = 70 4x + 2 (3,5) = l'ex evaluated at the point (35) is (Simplify your answer.)

The factors considered when deciding to make a good and service are

a)Determining who has the greatest need

b)finance of prospective buyer

d) way to produce items at a lower cost or higher quality

When deciding how to make goods and services, it's important to take into consideration the needs of the customers. Identifying who has the greatest need for the product is crucial in determining how to design and produce it.

Another important factor is the cost of production, a way to produce the item at a lower cost or higher quality must be considered as it will affect the final price and the competitiveness of the product in the market.

While maximizing profit is always a goal, it should not be the only deciding factor when determining how to make goods and services, as other factors such as customer need and production cost also play important roles.

For more questions like Factors click the link below:

https://brainly.com/question/30080863

#SPJ4

It is an inequality, and it can be written as:

2x-  4 < 8

Where x is the number.

Generally, if you see the words "less than, greater than, less or equal to, greater or equal to, etc.." you will be dealing with an inequality.

Here we have the mathematical statement:

"twice a number decreased by four is less than 8"

if we define x as the number, then we can write ""twice a number decreased by four..."

2x -4

And that must be less than 8, then we will have the inequality:

2x-  4 < 8

Learn more about inequalities at:

https://brainly.com/question/24372553

#SPJ1

The number of days Bilquis can afford to rent while staying within her budget is 2 days.

The question has the following data

amount charged =  $48

Rent per mile = $0.08

The mile to drive = 175 miles.

Amount to spend = 110 dollars

The inequality would be written as

48x + 0.08(175) ≤ 110

we are to solve for the value of x

this would be

48x + 14 ≤ 110

48x ≤ 110 - 14

48x ≤ 96

We have to divide through by 48

x ≤ 96 / 48

x ≤ 2

Hence we can say that the number of days Bilquis can afford to rent while staying within her budget is 2 days.

Read more on inequalities here:

https://brainly.com/question/24372553

#SPJ1

B. With test statistics of 2.40 and a critical value of 2.326, we fail to reject the null hypothesis. The manufacturer's claim cannot be rejected.

To test whether the sample information supports the manufacturer's claim that their 12-ounce cans do not contain more than 30 calories on average, we can use a one-sample t-test. The null hypothesis is that the true mean calorie content of the cans is equal to or less than 30 calories, while the alternative hypothesis is that it is greater than 30 calories.
Using the sample mean of 31.8 calories, the sample standard deviation of 3 calories, and a sample size of 16, we can calculate the t-value as follows:
t = (31.8 - 30) / (3 / √(16)) = 2.40
The degree of freedom for this test is 15 (n - 1). Using a significance level of alpha = 0.01 and a one-tailed test, the critical t-value is 2.602.
Comparing the calculated t-value of 2.40 to the critical t-value of 2.602, we can see that it falls within the non-rejection region. Therefore, we fail to reject the null hypothesis and conclude that the sample information does not provide enough evidence to support the manufacturer's claim that their 12-ounce cans contain, on average, less than or equal to 30 calories. The correct answer is B: with test statistics of 2.40 and a critical value of 2.326, we failed to reject the null hypothesis. The manufacturer's claims cannot be rejected.

Learn more about evidence here:

https://brainly.com/question/15880833

#SPJ11

The total length of the ride is 25 Kilometers.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis of the given problem.

Given is that Cyclist were 3/5 finished with their ride when they reached the 15 kilometer mark.

Assume that the total length of the ride is {x} Kilometer. Than, we can write -

3/5 of {x} = 15

3/5 × {x} = 15

{x} = (15 x 5)/3

{x} = 5 x 5

{x} = 25

Therefore, the total length of the ride is 25 Kilometers.

To solve more questions on equations and expressions, visit the link below -

brainly.com/question/17421223

#SPJ2

The length of the midsegment of the trapezoid is 14 units

The midsegment of a trapezoid is the segment connecting the midpoints of the two non-parallel sides.

The length of the midsegment of a trapezoid is half of the sum of the lengths of the two parallel sides. Thus:

The length of the midsegment MN = (18+10)/2 = 28/2 = 14 units

Learn more about length of the midsegment of a trapezoid on:

https://brainly.com/question/7593624

#SPJ1

The volume of the largest rectangular box in the first octant with three faces in the coordinate planes, and one vertex in the plane is V = xyz, where x, y, and z are the lengths of the sides of the rectangular box.

To find the largest volume, we need to maximize x, y, and z. Since we have three faces in the coordinate planes, one vertex will be at the origin (0, 0, 0). The other two vertices will lie on the coordinate axes.

Let's assume the vertex on the x-axis is (x, 0, 0), and the vertex on the y-axis is (0, y, 0). The third vertex on the z-axis will be (0, 0, z). Since the box is in the first octant, all the coordinates must be positive.

To maximize the volume, we need to find the maximum values for x, y, and z within the constraints. The maximum values occur when the box touches the coordinate planes. Therefore, the maximum values are x = y = z.

Substituting these values into the volume formula, we get V = xyz = x³. Therefore, the volume of the largest rectangular box is V = x³.

Learn more about constraints here

brainly.com/question/32387329

#SPJ11

What is the maximum volume of a rectangular box situated in the first octant, with three of its faces lying on the coordinate planes, and one of its vertices located in the plane?

Answer:

300

Step-by-step explanation:

50 x 6 gets your explanation.

Answer:

15 dollars

Step-by-step explanation:

2.50×6= 15

two dollars and fifty cent times the amount of days equals the amount of money Kasie has in here bank account

What do we know:

What do we want to find ⇒ Density

To solve that,

  ⇒ must find the relationship between density, mass, and volume

         ⇒ Density = mass / volume

Now let's convert some units to make it into a standard answer:

               (1 cubic meter = 1000000 cubic centimeter)

   ⇒ Density = 0.1 / 0.000048 = 2,083.33 kilograms per cubic meter

Hope that helps!

y = 90° (linear pair)

x = 180° - (50° + 90°) [Angle Sum Property]

x = 180° - 140°

x = 40°

=》 x = 40° & y = 90°

______

Hope it helps ⚜

y=90°

x=40°

Step-by-step explanation:

In studies intended to measure the distance a golf ball is struck with weapons made of various materials, the material of the golf ball and the direction of the wind at the moment the experiment was done become standardized variables.

In tests intended to assess the distance a golf ball is struck with clubs made of various materials, the kind of material the club is composed of is an independent variable.

Independent variables are those that a researcher tries to manipulate or control to observe how they impact the dependent variable. In this experiment, the effect of different club construction materials on golf ball distance is investigated.

Learn more about the independent variable at

https://brainly.com/question/29430246

#SPJ4

Answer:

-4m-17

Step-by-step explanation:

g(2m+7) = -2*(2m+7) -3

= -4m -14 -3

= -4m -17

The probability of selecting two women and one man in that order is 0.036 (rounded to three decimal places).

To find the probability of selecting two people at random from a group of thirteen women and fifteen men, we first need to determine the total number of people in the group.

Total number of people = 13 women + 15 men = 28 people

(a) To find the probability that all three selected people are men, we need to determine the number of ways we can select two men out of the 15 men in the group:

Number of ways to select two men = 15C2 = (15*14)/(2*1) = 105

Since we need all three selected people to be men, we can only select one more person from the remaining 13 women:

Number of ways to select one woman = 13C1 = 13

Therefore, total number of ways to select three people where all three are men = 105 * 13 = 1365

The probability of selecting all three men = (number of ways to select three men) / (total number of ways to select three people) = 1365 / 32760 = 0.042

So the probability of selecting all three men is 0.042 (rounded to three decimal places).

(b) To find the probability that the first two selected people are women and the third is a man, we need to determine the number of ways we can select two women out of the 13 women in the group:

Number of ways to select two women = 13C2 = (13*12)/(2*1) = 78

Since we need the third selected person to be a man, we can only select one more person from the 15 men in the group:

Number of ways to select one man = 15C1 = 15

Therefore, the total number of ways to select three people where the first two are women and the third is a man = 78 * 15 = 1170

The probability of selecting two women and one man in that order = (number of ways to select two women and one man in that order) / (total number of ways to select three people) = 1170 / 32760 = 0.036

So the probability of selecting two women and one man in that order is 0.036 (rounded to three decimal places).  

To know more about probability refer here

https://brainly.com/question/11234923#

#SPJ11

Answer:

Step-by-step explanation:

To make a valid prediction about the mean of the population based on the sample means provided, we can examine the given data.

Looking at the sample means:

208

235

245

207

205

210

The highest sample mean is 245, so we can conclude that the mean of the population is unlikely to be greater than 245.

Therefore, a valid prediction about the mean of the population would be: The predicted mean of the population will be less than 245.

The other options, stating that the predicted mean will be less than 200, more than 275, or more than 250, are not supported by the given data.

The area of the shaded rectangle is 18 square units.

The shaded region is the framed rectangle, and the white part is the frame.

We know that the frame is 2 units wide, and the measure of the rectangle and the frame are:

Now, if we remove the frame, we will remove 2*2 units = 4 units for each measure (because for each measure we have the frame in both sides).

So the measures for the shaded rectangle are:

And the area of a rectangle is given by the product between the width and length, then we have:

A = (3 units)*(6 units) = 18 square units.

If you want to learn more about rectangles, you can read:

https://brainly.com/question/17297081

The correct option is B "Models n independent replications of a Bernoulli experiment each with a probability p of success".

It is a frequency distribution of the number of successful outcomes that could occur in a set number of trials with an equal chance of success. In probability theory and statistics, the discrete probability distribution of the number of successes in a series of n independent experiments, each asking a yes-or-no question and each with its own Boolean-valued outcome: success or failure, is known as the binomial distribution with parameters n and p. When each trial has the same probability of achieving a given value, the number of trials or observations is summarized using the binomial distribution. The probability of observing a specific number of successful outcomes in a specific number of trials is determined by the binomial distribution.

To know more about binomial distribution,

https://brainly.com/question/14565246?referrer=searchResults

#SPJ4

The score that separates the top 59% from the bottom 41% is 39.3.

To solve this problem, we need to find the z-score that separates the top 59% from the bottom 41%, and then use the z-score formula to find the corresponding raw score.

The z-score for the top 59% is the z-score that corresponds to a cumulative area of 0.59 to the left of it. We can find this using a standard normal table or a calculator:

z = invNorm(0.59) = 0.24

The z-score for the bottom 41% is the z-score that corresponds to a cumulative area of 0.41 to the left of it:

z = invNorm(0.41) = -0.24

The score that separates these two z-scores can be found using the z-score formula:

z = (x - μ) / σ

where x is the raw score, μ is the mean, and σ is the standard deviation. Solving for x, we get:

x = z * σ + μ

Plugging in the values we found earlier, we get:

x = 0.24 * 7.6 + 37.6 = 39.3

Therefore, the score that separates the top 59% from the bottom 41% is 39.3.

Learn more about score here:

https://brainly.com/question/16788678

#SPJ11

The coordinates of M with basis [M]B \(\left[\begin{array}{ccc}2\\-1\\0\end{array}\right] \\\)

To find the coordinates of the matrix M with respect to the basis B, we need to express M as a linear combination of the basis vectors in B.

Let's write the basis vectors in B as columns of a matrix B:

B =

\(\left[\begin{array}{ccc}-1&0&0\\3&-1&0\\0&0&0\\0&2&2\end{array}\right]\)

To find the coefficients of the linear combination, we need to solve the system of equations:

B [x1; x2; x3] = M

where [x1; x2; x3] are the coefficients of the linear combination.

We can write this system as an augmented matrix:

\(\left[\begin{array}{cccc}-1&0&0&-2\\3&-1&0&-6\\0&0&0&0\\0&2&2&1\end{array}\right]\)

and perform row operations to put it in row echelon form:

\(\left[\begin{array}{cccc}1&0&0&2\\0&1&0&-1\\0&0&0&0\\0&0&0&0\end{array}\right]\)

From this, we see that x1 = 2, x2 = -1, and x3 can be any value. We can choose x3 = 0 to get the unique solution:

[M]B =\(\left[\begin{array}{ccc}2\\-1\\0\end{array}\right] \\\)

Learn more about coordinates of set

brainly.com/question/30242571

#SPJ11

Step 1: Find angle C

Vertical angles are congruent. Angle C and the lower right angle measuring 47 degrees are vertical angles. Therefore angle C = 47 degrees.

Step 2: Find angle B

Angle B, the upper right 47 degree angle, and 61 degree angle all form a straight line. A straight line is 180 degrees.

B + 47 + 61 = 180

B + 108 = 180

B = 72 degrees

Step 3: Find angle A

The sum of the interior angles of a triangle is 180 degrees. The sum of angles a, b, and c will be 180 degrees.

A + B + C = 180

A + 72 + 47 = 180

A + 119 = 180

A = 61 degrees

Answers:

A = 61 degrees

B = 72 degrees

C = 47 degrees

Hope this helps!

The random variable in the first situation is the number of hits for the players of a baseball team and in the second situation is the distance traveled by the tee shots in a golf game.

1) The random variable in this distribution is the number of hits for the players of a baseball team. This is a discrete random variable because hits are counted as whole numbers and cannot take on non-integer values.

2) The random variable in this distribution is the distance traveled by the tee shots in a golf game. This is a continuous random variable because the distances traveled can take on any value within a certain range, including non-integer values. The exact distance traveled by a tee shot can be measured to any degree of precision, and there are infinitely many possible distances within the range of possible outcomes. Therefore, it is a continuous random variable.

To know more about random variable, visit:

https://brainly.com/question/17238189#

#SPJ11

Answer:

We know that  there are 6 ways of picking both defective chips in this order of 4 chips.

We want to find the number of ways of selecting both defective chips out of 2 from a total of 6 chips, when selecting 4 chips without replacement.

The number of ways of selecting 2 defective chips out of 2 is 1 (there is only one way to select 2 out of 2).

The number of ways of selecting 2 non-defective chips out of 4 is given by the combination formula:

C(4,2) = 4!/(2!2!) = 6

Therefore, the number of ways of selecting both defective chips and 2 non-defective chips out of 4, without replacement, is:

1 * 6 = 6

So there are 6 ways of picking both defective chips in this order of 4 chips.

To know more about defective refer here

https://brainly.com/question/16882906#

#SPJ11

Answer:

the answere is 10

Step-by-step explanation:

Answer:

the answer would be <RSV &<TSV

Answer:

RSV and TSV

Step-by-step explanation:

Supplementary angles are those that add to 180 degrees

RSV and TSV form a straight line so they add to 180

They are complementary angles

Answer:

6 Pages

Step-by-step explanation:

1 1/2 Page Every 15 minutes

There’s 4 15 minutes in an hour.

1 and a half x 4 = 6

Answer:

1

Step-by-step explanation:

bc i said so also 1 x 1 equals 20 which means 1 x 1 = 2

If a sample mean is 37, (32, 42) is most likely the range of possible values that best describes an estimate for the population mean. The correct option is C.

In math, a mean is the average of a data set, which is calculated by adding all of the numbers together and then dividing the sum of the numbers by the number of numbers.

Assuming a moderate sample size (e.g., n = 30) and a typical population standard deviation (e.g., σ = 10), the SEM can be estimated to be approximately 2.

Using this estimate, the range of possible values for the population mean can be calculated as:

37 - x = 33

37 + 2 * 2 = 41

Therefore, the most likely range of possible values for the population mean is option C.

For more details regarding mean, visit:

https://brainly.com/question/30112112

#SPJ7

Answer:

see explanation

Step-by-step explanation:

CY = CB + BY

     = 6b + 5a - b

     = 5a + 5b

---------------------

CX = CA + AX

     = CA + \(\frac{1}{3}\) AB , find AB

AB = AC + CB

     = - 3a + 6b

     = 6b - 3a

Thus

CX = CA  + \(\frac{1}{3}\) AB

      = 3a + \(\frac{1}{3}\)(6b - 3a)

      = 3a + 2b - a

      = 2a + 2b

---------------------

and

\(\frac{2}{5}\) CY

= \(\frac{2}{5}\) (5a + 5b)

= 2a + 2b = CX

Hence CX = \(\frac{2}{5}\) CY ⇒ Proven

The perimeter be 410 then the maximum area be \($A=\left(\frac{410-3 x}{2}\right) * x$$\).

A perimeter is a closed path that encloses, surrounds, or delimits a one-dimensional length, a two-dimensional shape, or both. The circumference of a circle or an ellipse is its perimeter. There are numerous practical uses for calculating the perimeter.

Let the perimeter be p = 410

The perimeter of the fence is:

p = 2(x + y + 5 + y) + x

p = 2x + 2y + 10 + 2y + x

Collect like terms

p = 2x + x + 2y + 2y + 10

p = 3x + 4y + 10

Where, p = 410, then

3x + 4y + 10 = 410

\($$\begin{aligned}& 4 y=410-10-3 x \\& 4 y=400-3 x\end{aligned}$$\)

simplifying the equation, we get

\($y=\frac{400-3 x}{4}$$\)

The area (A) of the fence is:

\($$\begin{aligned}& A=(y+y+5) * x \\& A=(2 y+5) * x\end{aligned}$$\)

Substitute: \($y=\frac{400-3 x}{4}$\)

\($$\begin{aligned}& A=\left(2 * \frac{400-3 x}{4}+5\right) * x \\& A=\left(\frac{400-3 x}{2}+5\right) * x\end{aligned}$$\)

simplifying the equation, we get

\($A=\left(\frac{400-3 x+10}{2}\right) * x$$\)

\($A=\left(\frac{410-3 x}{2}\right) * x$$\)

\($A=\frac{410 x-3 x^2}{2}$$\)

A = 205x - 1.5 x²

Differentiate both sides, we get

A' = 205-3 x

simplifying the equation, we get

205 - 3x = 0

3x = 205

Therefore, the maximum area be \($A=\left(\frac{410-3 x}{2}\right) * x$$\).

To learn more about area refer to:

https://brainly.com/question/345835

#SPJ4

Thus, the obtained area of sector for the given circle is found as 43.96 in².

Two radii that meet at the centre to form a sector define a circle. The sector is the portion of the circle created by these two radii. Knowing a circle's central angle assessment and radius measurement are both crucial for solving circle-related difficulties.

The curved portion that runs along the circle's perimeter and joins the ends of a two radii that make up a sector is known as the sector arc.

given data:

Formula for the area of sector:

area of sector = Ф /360 * (πr²)

area of sector = 140/360 * (3.14 *6²)

area of sector = 7/18 * 3.14 *36

area of sector = 43.96 in²

Thus, the obtained area of sector for the given circle is found as 43.96 in².

Know more about the circle's sector:

https://brainly.com/question/30885943

#SPJ1

Given statement solution is :- a) Power set for two sets A and B with any 2 elements:

Set A: {1, 2}, Set B: {3, 4}

Power set of A: {{}, {1}, {2}, {1, 2}}

Power set of B: {{}, {3}, {4}, {3, 4}}

b) Power set for two sets A and B with any 3 elements:

Set A: {1, 2, 3}, Set B: {4, 5, 6}

Power set of A: {{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}}

Power set of B: {{}, {4}, {5}, {6}, {4, 5}, {4, 6}, {5, 6}, {4, 5, 6}}

c) Power set for two sets A and B with any 4 elements:

Set A: {1, 2, 3, 4}, Set B: {5, 6, 7, 8}

Power set of A: {{}, {1}, {2}, {3}, {4}, {1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 4}, {1, 2, 3}, {1, 2, 4}, {1, 3, 4}, {2, 3, 4}, {1, 2, 3, 4}}

Power set of B: {{}, {5}, {6}, {7}, {8}, {5, 6}, {5, 7}, {5, 8}, {6, 7}, {6, 8}, {7, 8}, {5, 6, 7}, {5, 6, 8}, {5, 7, 8}, {6, 7, 8},

a) Power set for two sets A and B with any 2 elements:

Set A: {1, 2}, Set B: {3, 4}

Power set of A: {{}, {1}, {2}, {1, 2}}

Power set of B: {{}, {3}, {4}, {3, 4}}

Set A: {apple, banana}, Set B: {cat, dog}

Power set of A: {{}, {apple}, {banana}, {apple, banana}}

Power set of B: {{}, {cat}, {dog}, {cat, dog}}

Set A: {red, blue}, Set B: {circle, square}

Power set of A: {{}, {red}, {blue}, {red, blue}}

Power set of B: {{}, {circle}, {square}, {circle, square}}

b) Power set for two sets A and B with any 3 elements:

Set A: {1, 2, 3}, Set B: {4, 5, 6}

Power set of A: {{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}}

Power set of B: {{}, {4}, {5}, {6}, {4, 5}, {4, 6}, {5, 6}, {4, 5, 6}}

Set A: {apple, banana, orange}, Set B: {cat, dog, elephant}

Power set of A: {{}, {apple}, {banana}, {orange}, {apple, banana}, {apple, orange}, {banana, orange}, {apple, banana, orange}}

Power set of B: {{}, {cat}, {dog}, {elephant}, {cat, dog}, {cat, elephant}, {dog, elephant}, {cat, dog, elephant}}

Set A: {red, blue, green}, Set B: {circle, square, triangle}

Power set of A: {{}, {red}, {blue}, {green}, {red, blue}, {red, green}, {blue, green}, {red, blue, green}}

Power set of B: {{}, {circle}, {square}, {triangle}, {circle, square}, {circle, triangle}, {square, triangle}, {circle, square, triangle}}

c) Power set for two sets A and B with any 4 elements:

Set A: {1, 2, 3, 4}, Set B: {5, 6, 7, 8}

Power set of A: {{}, {1}, {2}, {3}, {4}, {1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 4}, {1, 2, 3}, {1, 2, 4}, {1, 3, 4}, {2, 3, 4}, {1, 2, 3, 4}}

Power set of B: {{}, {5}, {6}, {7}, {8}, {5, 6}, {5, 7}, {5, 8}, {6, 7}, {6, 8}, {7, 8}, {5, 6, 7}, {5, 6, 8}, {5, 7, 8}, {6, 7, 8},

For such more questions on Power Sets Examples for Sets

https://brainly.com/question/33026825

#SPJ8