What is the volume of a hemisphere with a diameter of 56.7 in, rounded to the nearest tenths of a cubic inch?

Solving for q will give us the optimal quantity that maximizes the profit,  a function that gives the total profit earned can be written as:

Profit(q) = (Revenue per item - Cost per item) * q

Assuming that the revenue and cost are functions of the quantity sold (q), the total profit can be calculated as follows:

Profit(q) = Revenue(q) - Cost(q)

To find the quantity which maximizes the profit, we can take the derivative of the profit function with respect to q and set it equal to zero, and then solve for q:

Profit'(q) = Revenue'(q) - Cost'(q) = 0

Solving for q will give us the quantity that maximizes the profit. However, without knowing the specific forms of the revenue and cost functions, we cannot write a specific profit function or find the quantity that maximizes the profit.

In general, the profit function can be written as:

Profit(q) = (Revenue per item - Cost per item) * q

where the revenue per item and cost per item are functions of q. To find the quantity that maximizes the profit, we need to differentiate the profit function with respect to q and set it equal to zero:

Profit'(q) = Revenue'(q) - Cost'(q) = 0

Solving for q will give us the optimal quantity that maximizes the profit.

Learn more about functions at

brainly.com/question/30721594

#SPJ4

a) The limit is lim X x-+(1/2) 2x-1 = 3/2

b) The derivative of the function f(x) = x² + x - 3 is f'(x) = 2x + 1.

a) To find the limit of x(2x-1)/2 as x approaches 1/2, we can substitute 1/2 into the expression and evaluate. However, this will result in 0/0, which is an indeterminate form. To solve this, we can use L'Hôpital's rule. L'Hôpital's rule states that the limit of f(x)/g(x) as x approaches a is equal to the limit of f'(x)/g'(x) as x approaches a. In this case, f(x) = x(2x-1) and g(x) = 2. Therefore, the limit of x(2x-1)/2 as x approaches 1/2 is equal to the limit of 2x-1/2 as x approaches 1/2. Substituting 1/2 into the expression, we get 2(1/2)-1/2 = 3/2.

b) To find the derivative of the function f(x) = x² + x - 3 using the limit process, we start by taking the definition of the derivative:

f'(x) = lim (h -> 0) [f(x + h) - f(x)] / h

Substituting the given function, we have:

f'(x) = lim (h -> 0) [(x + h)² + (x + h) - 3 - (x² + x - 3)] / h

Expanding the terms within the limit, we get:

f'(x) = lim (h -> 0) [x² + 2xh + h² + x + h - 3 - x² - x + 3] / h

Simplifying, we have:

f'(x) = lim (h -> 0) [2xh + h² + h] / h

Now, we can cancel out the 'h' term:

f'(x) = lim (h -> 0) [2x + h + 1]

Taking the limit as h approaches 0, we get:

f'(x) = 2x + 1

Learn more about limit here: brainly.com/question/12211820

#SPJ11

Of course it is a rational number.

Whole number are numbers without fractions or decimals, integers too but what is the difference then ? Integers include also negative numbers without fractions or decimals.

Obviously -5.41 is neither an integer, nor a whole number.

-5.41 is not an irrational too since irrational have infinite sequence of numbers after the comma.

-5.41 is in fact a rational number.

Good luck

Answer:

-43/60

Step-by-step explanation:

Establish a common denominator (60)

-5/12->12*5= 60

-3/10->10*6=60

Multiply numerators

-5/12->5*5=25

-3/10-3*6=18

-25/60-18/60

subrtact  numerators

-25-18

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

60

|

|

-43/60

Applying power rules, the equations that is true when x = 10 but false when x = -10 is given as follows:

x³ = 10000.

The behavior of the exponents of 10 is different for even and for odd exponents, as follows:

In this problem, we have two exponents, as follows:

We want different results for the power when x = 10 and when x = -10, hence the correct option will involve the odd exponent 3.

The third power of 10 is calculated as follows:

10³ = 10 x 10 x 10 = 100 x 10 = 1000.

Hence the equation that is true for x = 10 and false for x = -10 is:

x³ = 10000.

As when x = -10, the result is:

(-10)³ = (-10) x (-10) x (-10) = 100 x (-10) = -1000.

The options are given by the image at the end of the answer.

More can be learned about power rules at https://brainly.com/question/11761858

#SPJ1

Answer:

The answer is 4x

Thats all i can tell you with that information

The conversion of the given equation  6x 10¹ s = 60000ms.

To convert time to hours, divide it by 24, the number of hours in a day. When converting time onto minutes, multiply it by 1440 (the number of minutes in a day, 24*60). To convert time to seconds, multiply it by 86400 (the number of seconds in a day) (24*60*60).

6x 10¹ s

This can be written as:

60 s

To Calculate Seconds To Milliseconds

Simply increase your seconds by 1000 to convert seconds to milliseconds. This is the formula:

Yms = Xs * 1000

We know that:

1s = 1000ms

So,

60s = 1000 * 60

      = 60000ms.

To Calculate Seconds To Milliseconds

To know more about unit convert visit:

https://brainly.com/question/27971860

#SPJ9

Answer:

Step-by-step explanation:

Let x be the number of pants and y be the number of shirts

x + y = 6

20x + 15y = 100

multiply the first equation by -20

-20x -20y = -120

20x + 15y = 100

subtract the equations

-5y = -20

y = 4

replace y in equation 1

x + 4 = 6

x = 2

Answer:

P = dependant; t = independant

Step-by-step explanation:

The t value can be changed, making it the indepentant. The value of P changes as the value of t is changed, therefore making it dependant on t, making it the dependant value.

The 90% confidence interval estimate is (36.93, 62.39) minutes. The confidence interval does not indicate whether the treatment is effective. Therefore, the correct option is D.

1. Identify the sample size (n), sample standard deviation (s), and degrees of freedom (df):

n = 29, s = 44.9 min, and df = n - 1 = 28.
2. Look up the chi-square values for a 90% confidence interval:

For df = 28, the chi-square values are 15.51 (lower) and 42.98 (upper).

3. Calculate the confidence interval estimate:

Lower limit = √((n - 1) * s^2 / upper chi-square value) = √(28 * (44.9)^2 / 42.98) = 36.93 min

Upper limit = √((n - 1) * s^2 / lower chi-square value) = √(28 * (44.9)^2 / 15.51) = 62.39 min

The 90% confidence interval estimate for the standard deviation of wake times is (36.93, 62.39) minutes.

As for the effectiveness of the treatment, the confidence interval does not indicate whether the treatment is effective or not, because the interval is about the standard deviation of the wake times, not the mean wake times or the success of the treatment. Therefore, the answer is D. No, the confidence interval does not indicate whether the treatment is effective.

Learn more about Confidence interval:

https://brainly.com/question/15712887

#SPJ11

Answer:

130

Step-by-step explanation:

If you start out with 40 stamps thanks to Garcie's grandma, than are given 30 for every month in the span of 3 months, 30 x 3 is 90, plus 40 is 130.

Answer:

i think its 130

Step-by-step explanation:

30×3 is 90 then add the 40 that the grandmother gave

Answer:

10.8

Step-by-step explanation:

6% of 180 is 10.8

In linear equation, The histogram will show that most of the data is centered between 6 minutes and 9 minutes.

What in mathematics is a linear equation?

5.5+6+7+10+7.5+8+9.5+9+8.5+8+7+7.5+6+6.5+5.5=111.5

Since there are 15 values,

           their mean is 111.5/15=7.43 which is very close to the mean.

A)A histogram will show that the mean time is approximately equal to the median time of 7.5 minutes

D)The shape of the histogram can be approximated with a normal curve.

E)The histogram will show that most of the data is centered between 6 minutes and 9 minutes.

Learn more about linear equation

brainly.com/question/11897796

#SPJ13

First, we need to find the curl of F. Since the rectangle C can be divided into two regions by a horizontal line, we can split the integral into two parts.

curl(F) = (∂(x - y)/∂x - ∂(x^2 + y^2)/∂y)k

= (-2y)k

Now we can apply Green's Theorem:

∫C F·dr = ∫∫R curl(F) dA

where R is the region enclosed by C, and dA is the area element.

Since the rectangle C can be divided into two regions by a horizontal line, we can split the integral into two parts:

∫C F·dr = ∫∫R1 curl(F) dA + ∫∫R2 curl(F) dA

where R1 is the region above the line y = 4.5, and R2 is the region below.

In region R1, y > 4.5, so the curl is negative:

∫∫R1 curl(F) dA = ∫0^2 ∫4.5^9 (-2y) dy dx

= -81

In region R2, y < 4.5, so the curl is positive:

∫∫R2 curl(F) dA = ∫0^2 ∫0^4.5 (-2y) dy dx

= 81/2

Therefore, the total circulation is:

∫C F·dr = ∫∫R1 curl(F) dA + ∫∫R2 curl(F) dA

= -81 + 81/2

= -144

So the answer is D) -144.

Visit here to learn more about Green's Theorem:

brainly.com/question/30763441

#SPJ11

Answer:

p=−8

Step-by-step explanation:

Regroup terms.

p /2 −9=−13

Add 9 to both sides.

p/2  =−13+9

Simplify  -13+9 to −4.

p/2=−4

Multiply both sides by 2.

p=−4×2

Simplify  4×2  to  8

.

Answer:

a³-9a

a³-9a

=a(a+3)(a-3)

The probability that 2 or more people arrive in the next 10 minutes, given the arrival of customers modeled by a Poisson distribution with a mean of 2 customers per hour, is approximately 0.2388 (option b).

In the first part, we need to determine the average number of customers that arrive in a 10-minute period. Since the arrival rate is given in terms of customers per hour, we need to convert it to customers per 10 minutes. There are 60 minutes in an hour, so in 10 minutes, we have 10/60 = 1/6 of an hour. Multiplying the mean arrival rate by 1/6 gives us the average number of customers in a 10-minute period, which is 2/6 = 1/3.

In the second part, we can use the Poisson distribution formula to calculate the probability. The probability of observing k events in a given time period, given the average rate of events, is given by P(k) = (e^(-λ) × λ^k) / k!, where λ is the average rate and k is the number of events. In this case, we want to calculate P(k ≥ 2), which is the probability of observing 2 or more events. Using λ = 1/3 and summing the probabilities for k = 2, 3, 4, ... up to infinity, we find that P(k ≥ 2) is approximately 0.2388 (option b).

learn more about Poisson distribution here:

https://brainly.com/question/30388228

#SPJ11

Answer:

120 students chose conserving natural resources

Step-by-step explanation:

40% of 300 chose conserving natural resources, to find the number, we have,

Number of students = 40%(300)

Number of students = (0.4)(300)

Number of students = 120

Hence, 120 students chose conserving natural resources

Step-by-step explanation:

i suppose you are looking for the expanded and simplified form

We can use Pascal's triangle to perform this

According to Pascal's triangle,

1

1 1

1 2 1

So, 1•3x²+2•3x•1/x+1•1/x²

3x²+6x/x+1/x²

3x²+6+1/x²

To determine the line symmetry of your figure (C), examine the shape and try to identify if it can be divided into mirror-image halves using any of these lines. If so, that will be the type of line symmetry it has. If not, choose "none of the above."

1. Vertical line symmetry: A figure has vertical line symmetry when it can be divided into two equal halves by a vertical line, and the halves are mirror images of each other.

2. Horizontal line symmetry: A figure has horizontal line symmetry when it can be divided into two equal halves by a horizontal line, and the halves are mirror images of each other.

3. Diagonal line symmetry: A figure has diagonal line symmetry when it can be divided into two equal halves by a diagonal line, and the halves are mirror images of each other.

4. None of the above: If the figure cannot be divided into equal halves by any line (vertical, horizontal, or diagonal) and have mirror-image halves, then it does not have any line symmetry.

To know more about symmetry visit :

https://brainly.com/question/1597409

#SPJ11

Step-by-step explanation:

I hope this helps.........

Answer:

(-3,-6)

Step-by-step explanation:

Answer: Yes.

Step-by-step explanation:

600 x 0.41 or 41% = 246, which yes is different from 0.41.

Box plots are a useful tool for summarizing and visualizing data, allowing for easy comparison and analysis of different data sets

A box plot is a graphical representation of a data set that shows the distribution of the data and some of its key statistical measures such as the median, quartiles and outliers.

The box plot consists of a box and whiskers that extend from the box.

The box represents the middle 50% of the data with the lower and upper quartiles forming the bottom and top of the box respectively.

The line inside the box represents the median is the middle value of the data set.

The whiskers extend from the box to the minimum and maximum values that are not outliers.

Outliers are values that are much larger or smaller than the other values in the data set are shown as individual points outside the whiskers.

Box plots can be used to compare the distributions of data sets, such as in the case of Jada's data on flights from Boston to San Diego on two different airlines.

By comparing the medians quartiles and ranges of the box plots for the two airlines Jada can get a sense of which airline has more consistent flight times fewer delays or other factors that are important to her.

Additionally Jada can identify any outliers in the data set that may be worth investigating further.

For similar questions on Box plots

https://brainly.com/question/14277132

#SPJ11

Answer:

Step-by-step explanation:

Answer:

A.{x|x<0.5 or x>3.5}

Step-by-step explanation:

The UCL (Upper Control Limit) using sigma = 3 for this process would be 30. The UCL utilizing sigma=3 for this process would be 28.036.

In statistical process control, the upper control limit (UCL) is utilized as a device to identify when to stop a process due to a high variation.

A process that exceeds its UCL will result in defective or inconsistent items, which should be avoided.

Marble Inc. produces high-end countertops from a variety of materials. The company employs the process of randomly selecting one countertop to count the number of blemishes as a means of monitoring the quality of its production processes.

The formula for calculating UCL is as follows: UCL = average of blemishes + 3 × standard deviation For ten samples with a different number of blemishes in each sample, the UCL is determined.

Using the given formula for UCL using sigma= 3: UCL = (2+3+4+5+6+7+8+9+10+17)/10 + 3 × √[(2-9.1)² + (3-9.1)² + (4-9.1)² + (5-9.1)² + (6-9.1)² + (7-9.1)² + (8-9.1)² + (9-9.1)² + (10-9.1)² + (17-9.1)²]/10UCL = 28.036

From the above calculations, the UCL utilizing sigma=3 for this process would be 28.036.

For more such questions on UCL

https://brainly.com/question/33358761

#SPJ8

Step-by-step explanation:

\((a + {b)}^{2} = {a}^{2} + 2ab + {b}^{2} \)