Water
SA = 2tr2 + 2nrh
(Use 3.14 for 1.)
Find the surface area
of a water tower that is
40 feet tall and 20 feet
across the base.
square feet
Do NOT round your answer.

This statement is always true. The average of four real numbers is calculated by adding the four numbers together and dividing by four. Therefore, the average will always be greater than or equal to the smallest of the four numbers.

The statement "The average of four real numbers is greater than or equal to at least one of the numbers" means that when you add four numbers together and divide by four, the resulting average will always be greater than or equal to one of the original numbers.

This is because the average is a measure of central tendency that is affected by all the numbers and the number that will affect the average the most will be the largest one and since the average is the sum of all the numbers divided by 4 it will be always greater than or equal to the smallest number.

Learn more about True Average Of Four Numbers here:

https://brainly.com/question/18817716

#SPJ4

Answer:

x < -7/2

Step-by-step explanation:

First, perform the indicated multiplication:

4(1-2x)>32 becomes 4 - 8x > 32.  

Next, isolate the -8x term by subtracting 4 from both sides of this inequality:

-8x > 28

Finally, solve for x by dividing both sides by -8.  This requires that we reverse the direction of the inequality sign:

x < -28/8, or, after reduction, x < -7/2

The cylinder is a three-dimensional shape and it has a radius, diameter and a height

Assume the square has the following dimensions:

Base dimensions = x

Height = h

Assume the cylinder has the following dimensions:

Radius  = r

Height = h

When the square is drilled out, the lateral surface area would be:

Lateral Area = Cylinder - Square

This gives

\(Lateral = 2\pi rh - 4xh\)

Factor out 2h

\(Lateral = 2h( \pi h - 2x)\)

Using the same dimensions in (a), we have:

Total surface Area = Cylinder - Square

This gives

\(Area = 2\pi r(r +h) - 2(2x^2 - xh)\)

Factor out 2

\(Area = 2[\pi r(r +h) - (2x^2 - xh)]\)

Using the same dimensions in (a), we have:

Base area = Cylinder - Square

So, we have:

\(Base = \pi r^2 - x^2\)

Using the same dimensions in (a), we have:

Volume = Cylinder - Square

So, we have:

\(Volume = \pi r^2h - x^2h\)

Factor out h

\(Volume = h(\pi r^2 - x^2)\)

Read more about cylinder at:

https://brainly.com/question/9554871

#SPJ1

Step-by-step explanation:

8.05 * 10^8 - 9.16 * 10^6

= 10^6 * (8.05 * 10^2 - 9.16)

= 10^6 * (805 - 9.16)

= 10^6 * (795.84)

= 10^8 * 7.9584

Therefore the answer in scientific notation is 7.9584 * 10^8.

Alr im not smart ok sorry to not answer it right but i think its 2^2 kilograms

Answer:

f(x) = -1/x^2 + 4e^x + 5x + 1 + 1/x - 4e^(-1)

Step-by-step explanation:

We can find the function f(x) by integrating f'(x) with respect to x:

â«f'(x) dx = â«(2/(x^3) + 4e^x + 5) dx

f(x) = -1/x^2 + 4e^x + 5x + C

To find the constant C, we can use the given initial conditions:

f(-1) = 1 = -1/(-1)^2 + 4e^(-1) - 5 + C

C = 1 + 1/1 - 4e^(-1)

f(x) = -1/x^2 + 4e^x + 5x + 1 + 1/x - 4e^(-1)

Therefore, the function f(x) is:

f(x) = -1/x^2 + 4e^x + 5x + 1 + 1/x - 4e^(-1)

A differential equation with some initial conditions is used to solve an initial value problem.

The required particular solution is given by the relation:

\($4y^{(3/2)} = 9e^{(-2x/3)} + 23\)

An initial value problem in multivariable calculus is an ordinary differential equation with an initial condition that specifies the value of the unknown function at a given point in the domain. In physics or other sciences, modeling a system frequently entails solving an initial value problem.

Let the given equation be \($y^{1/2} dy\ dx y^{3/2} = 1\), y(0) = 9

\($(\sqrt{y } ) y^{\prime}+\sqrt{(y^3\right\left) }=1\) …..(1)

Divide the given equation (1)  by \($\sqrt{ y} $\)  giving

\($y^{\prime}+y=y^{(-1 / 2)} \ldots(2)$\), which is in Bernoulli's form.

Put \($u=y^{(1+1 / 2)}=y^{(3 / 2)}$\)

Then \($(3 / 2) y^{(1 / 2)} \cdot y^{\prime}=u^{\prime}$\).

Multiply (2) by \($\sqrt{ } y$\) and we get

\(y^{(1 / 2)} y^{\prime}+y^{(3 / 2)}=1\)

(2/3) \(u^{\prime}+u=1$\) or \($u^{\prime}+(3 / 2) y=3 / 2$\),

which is a first order linear equation with an integrating factor

exp[Int{(2/3)dx}] = exp(2x/3) and a general solution is

\(u. $e^{(2 x / 3)}=(3 / 2) \ln \[\left[e^{(2 x / 3)} d x\right]+c\right.$\)  or

\(\mathrm{y}^{(3 / 2)} \cdot \mathrm{e}^{(2x / 3)}=(9 / 4) \mathrm{e}^{(2x / 3)}+{c}\)

To obtain the particular solution satisfying y(0) = 4,

put x = 0, y = 4, then

8 = (9/4) + c

c = (23/4)

Hence, the required particular solution is given by the relation:

\($4y^{(3/2)} = 9e^{(-2x/3)} + 23\)

To learn more about initial-value problem, refer to:

https://brainly.com/question/14744043

#SPJ4

True: Regression calculations are typically done on a computer because the calculations can be quite tedious and lengthy.

A regression is a statistical technique that relates a dependent variable to one or more independent (explanatory) variables. A regression model is able to show whether changes observed in the dependent variable are associated with changes in one or more of the explanatory variables

True. Regression calculations involve complex mathematical computations and analyzing large datasets, which can be time-consuming and prone to errors if done manually. Using a computer with specialized software can automate the process, making it faster, more accurate, and efficient.

Know more about Regression here:

https://brainly.com/question/31735997

#SPJ11

Answer:

its 4

Step-by-step explanation:

Answer:

2,125

Step-by-step explanation:

Answer:

2,125

Step-by-step explanation:

bc its ez

Answer:

95/9

Step-by-step explanation:

It will be easier for us to make the mixed numbers fractions.

2 1/3 = 7/3

8 2/9 = 74/9

now we want them to have the same denominator so we multiply the 7/3 fraction by 3/3.

21/9 + 74/9 = 95/9

Given that a field goal in football is worth 3 points. Let's say that f represents the number of field goals scored and p represent the number of points earned.The function rule that relates the number of field goals, f, and the number of points, p can be defined asp = 3fHere, p is dependent variable, since the number of points earned depends on the number of field goals scored, and f is independent variable, as it is the number of field goals scored.Explanation:The function rule that relates the number of field goals, f, and the number of points, p can be defined asp = 3fHere, p is dependent variable, since the number of points earned depends on the number of field goals scored, and f is independent variable, as it is the number of field goals scored.If a football team scores two field goals, we can find the number of points they would have earned by plugging in 2 for f in the function rule.p = 3f = 3(2) = 6Therefore, the team would have earned 6 points for scoring two field goals. We can use this function rule to find the number of points earned for any given number of field goals by substituting that number in for f and evaluating the expression.In summary, the function rule that relates the number of field goals, f, and the number of points, p is given by p = 3f, where p is the dependent variable and f is the independent variable.

In football, the function rule that relates the number of field goals, f, and the number of points, p is f = p/3. This is because a field goal is worth 3 points. Therefore, to find the number of field goals, you divide the total number of points by 3. This function can be written as f(p) = p/3, where f represents the number of field goals and p represents the number of points.In 150 words, we can expand the concept of field goals in football and how they are scored.Field goals in football are scored when a team kicks the ball through their opponent's goal post, above the crossbar, and between the uprights. The goal post is situated at the end of the playing field. The teams are permitted to aim for the field goal when they are within their opponent's half. A field goal is worth three points, which can be added to the team's score.Field goals are a critical scoring method for a team in football, as they can add three points to their total score. The team with the highest score at the end of the game is declared the winner. However, to win, a team has to outscore their opponents. Therefore, the field goals are an essential aspect of the game and can significantly impact the final result.

Derivatives are essential for solving calculus and differential equation problems then the derivative of this function is \($f^{\prime}(x)=k$\)

The rate of change of a function with respect to a variable in Mathematics. Derivatives are essential for solving calculus and differential equation problems.

Given a traditional unbent position, f(x) = kx + d, where k is the pitch and (0, d) is the y-intercept.

a) Consider our position at two distinct points first:

f(x) = kx + d

f(x + h) = k(x + h) + d = kx + kh + d

Evaluate the derivative, then

\($\lim h \rightarrow x \frac{f(x+h)-f(x)}{h}\)

substitute the values in the above equation, we get

\($&=\lim h \rightarrow x \frac{(k x+k h+d)-(k x+d)}{h} \\\)

simplifying the above equation, we get

\($&=\lim h \rightarrow x \frac{k h}{h} \\\)

\(&=\lim h \rightarrow x k \\\)

= k

Therefore, the derivative of this function is \($f^{\prime}(x)=k$\)

b. Since the actual function is linear, its part is all real numbers by definition.

c. Since the product is a constant function, its part is all real digits by meaning.

To learn more about derivative, refer to:

https://brainly.com/question/23819325

#SPJ4

David, Jeff, and Paula have (7d)/3 books.

To find out how many books David, Jeff, and Paula have altogether in terms of d, we can use the given information as follows:

1. David has d books.
2. David has 3 times as many books as Jeff, so Jeff has d/3 books.
3. David has the same number of books as Paula, so Paula also has d books.

Now, to find the total number of books for all three of them, we simply add the number of books each person has:

Total books = David's books + Jeff's books + Paula's books
Total books = d + d/3 + d

To combine these terms, we can find a common denominator (in this case, 3):
Total books = (3d + d + 3d) / 3

Now, we can simplify the expression:
Total books = (7d) / 3

So, altogether, David, Jeff, and Paula have (7d)/3 books in terms of d.

Learn more about denominator:

https://brainly.com/question/19249494

#SPJ11

Answer:

\(\sqrt{61}\)

Step-by-step explanation:

distance formula = \(\sqrt{(x2-x1)^{2}+(y2-y1)^{2} }\)

Our 2 points:

(-5,10)

(1,15)

= \(\sqrt{(-5-1)^{2}+(10-15)^{2}}\)

=\(\sqrt{(-6)^{2}+(-5)^{2}}\)

=\(\sqrt{36+25}\)

=\(\sqrt{61}\)

So I'm guessing your professor doesn't want any rounding bc it says EXACT distance.

61 is a prime number so we can't simplify it any further. So that would be the final answer. This is approx 7.81.

THIS IS YOUR ANSWER

HOPE IT HELPS YOU

Answer:

since it composite and using five exponent and since it can be solve that way I would use 1,3,107,321! Hope this help

Step-by-step explanation:

Answer:

321^5 = (107*3)^5=107^5*3^5

Step-by-step explanation:

321^5 = (107*3)^5=107^5*3^5

= 14025517307 * 243

= 3408200705601

Expansion by factoring first does not quite make it easier numerically!

Answer:

Could be because in the first bag there is 10 silver and 9 blue,and both have very close numbers.

Step-by-step explanation:

Im not 100% sure but both the blue and silver have almost the same amount of beads. so the probability could be 75%-90% posible.

:/ Again, Im not so sure about this.

Answer:

4th option

Step-by-step explanation:

As there is no clear curve or increase/decrease it is safe to assume it has no correlation

Answer:

Yup, it's D. The guy above me is right.

The probability that a contestant can get the correct answer solely by guessing depends on the number of possible arrangements or permutations of the items being sorted.

To calculate the probability of guessing the correct order, we need to consider the number of possible arrangements or permutations of the items. Let's assume there are four items to be sorted.

In this case, there are 4! (4 factorial) possible permutations. The factorial of a number represents the product of all positive integers up to that number. Therefore, 4! = 4 x 3 x 2 x 1 = 24.

Out of these 24 possible permutations, only one arrangement is correct. Therefore, the probability of guessing the correct order solely by guessing is 1/24.

This means that if a contestant randomly guesses the order of the four items, the probability of getting it right is 1 out of 24, or approximately 0.042 (or 4.2%).

It is important to note that this probability assumes that the items being sorted are equally likely to be placed in any order. If there are specific clues or patterns that can help narrow down the possibilities, the probability of guessing correctly may be higher. However, without any additional information, the probability remains at 1/24.

Learn more about : Probability

brainly.com/question/32900629

#SPJ11

Answer:

27/31

Step-by-step explanation:

5pink : 1yellow

4yellow : 7blue

times the first ratio by 4 so that the yellows are equal (if that makes sense)  

20pink : 4yellow : 7blue = 31 buttons

so the total is 31 buttons alltogether

and the pink and blue buttons together = 27 buttons

so 27/31 is the probability the button is pink or blue

The square root of the number 23 is 5 after using the division method the answer is 25.

A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.

It is given that:

The number is 23 which is a real number and positive number.

As we know we can find the square root of a positive numbers only, the square root of a negative number cannot exist

The square root of the number 23 = \(\sqrt{23}\)

The sign √ is a radical sign.

After using the division method:

\(\sqrt{23} = 4.7958\)

After reducing the number up to two decimal places:

\(= 4.79\)

Rounding the above number to the whole:

\(= 4.79 \thickapprox 5\)

\(5\times5 = 25\)

Thus, the square root of the number 23 is 5 after using the division method the answer is 25.

Learn more about the number here:

brainly.com/question/17429689

Symbolic models are those that are based on mathematical formulas.

The goal of symbolic modelling is to help clients become more aware of their own "symbolic domain of experience," allowing them to create their own "metaphor landscape" and explore internal metaphors, which are believed by conceptual metaphor theory to influence behaviour.

What benefits do symbolic models offer?

One of the most significant and defining technologies of next-generation modelling methodologies is swiftly emerging as symbolic computation. It allows the freedom to easily create model equations, manage models more effectively, and reach the best outcomes more quickly.

Describe domain through an example.

the domain name example.com might be connected to the address 198.102. 434.8.

To know more about symbolic modelling visit:

https://brainly.com/question/9002072

#SPJ4

Answer:

\(m=5\)

Step-by-step explanation:

\(-3m=-15\)

Divide both sides by -3:

\(\frac{-3m}{-3}=\frac{-15}{-3}\)

\(m=5\)

Answer:

\(m = 5\)

Step-by-step explanation:

Solve for \(m\) :

\(-3m = -15\)

-Take \(-3m\) and divide it on both sides of the equation:

\(\frac{-3m}{-3} = \frac{-15}{-3}\)

\(m = 5\)

Therefore, the value of \(m\) is \(5\).

Answer:

Step-by-step explanation:

If you look at Desmos you will see that when you put in the (x,y) coordinates in the x,y positions in your inequality that lines your plot and the shaded areas are different. If you put in each of the coordinates in the inequality you will see all the differenences between the shaded and the lines. I would do that in Desmos and you should be able to figure it out. There is an example picture below.

I hope this helps!

If you have any questions or need any help, please ask.

(L3) Circumcenters and centroids involve midpoint.   Circumcenters and centroids are important points in a triangle that are determined by the location of the vertices and midpoints of the sides.

The circumcenter is the point where the perpendicular bisectors of the sides of a triangle intersect, while the centroid is the point where the medians of a triangle intersect. Both of these points involve the midpoint of the sides of the triangle. The circumcenter involves the midpoint of the perpendicular bisectors of the sides, while the centroid involves the midpoint of the sides themselves. The location of these points can provide valuable information about the geometry of the triangle, such as its center of mass or the location of its circumcircle.

Learn more about Circumcenters

https://brainly.com/question/28912364

#SPJ4