tan145+tan85/1-tan145*tan85 as asingle funciton

Answer:

Change in Y over change in X. So down 8 and over 2. Simplified it would be 4/1

Developers determine the specifics of how to build a system in the design phase. b

The design phase and its importance:
Define Objectives:

The design phase begins after the completion of the analysis phase, where developers have gathered and evaluated requirements.

The main objective of the design phase is to create a blueprint for the system that addresses all identified requirements.
Create Architectural Design:

During this step, developers establish the overall structure of the system, including its components, their relationships, and the interactions between them.

This architectural design provides a high-level view of the system's organization.
Design System Components:

With the architectural design in place, developers focus on designing individual components or modules of the system. They create detailed specifications, which include the functionality, inputs, outputs, and processes for each component.
Design User Interface:

The user interface design involves creating a user-friendly and efficient way for end-users to interact with the system. This can include designing screen layouts, menus, buttons, and other interface elements.
Validate Design:

The final step in the design phase is to ensure that the proposed design meets all the requirements identified during the analysis phase.

Developers may use various methods, such as reviews and simulations, to validate their design before proceeding to the implementation phase.
The design phase is a crucial part of the system development process, as it defines how the system will be built, ensuring it meets the needs of its users and the project's objectives.

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Answer:

»»»»»

ZBDC = ( 180 - x - y )°

:-))

»»»»»

There are the number of pods of peas are  = 38

A number is split in the straightforward action of division. It's simpler to visualize it as a set of items being distributed to a certain group of individuals, as in the scenario given above. Naturally, in the interest of fairness, you should always offer each person the same amount.

One of the four fundamental operations of arithmetic, or how to mix numbers to create new ones, is division. Addition, subtraction, and multiplication are the other operations.

total number of peas = 288

peas have per pod  = 6

total number of pods required  = 288/6

                                                    = 38

there are the number of pods of peas are  = 38

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I understand that the question you are looking for is:

George Mendel is examining peas to try to understand how traits are passed from parents to offspring. Today Gregor has 228 peas to examine . The pods have 6 peas per pod. How many pods of peas are there?

according to the question,

given data in the question'

there are 51 houses on a street'

each hoses has an address between 1000 and 1099

There are 51 residences and 1000 possible addresses, according to the pigeon hole principle. There must be at least one address between each house in order for there to be no houses with consecutive addresses. To do this, only give houses even numbers (leaving odd addresses as the buffer address)

Giving houses even numbers (leaving odd addresses as the buffer address) There are now 1000=50 addresses that can be used.

According to the pigeon hole principle, there must be at least one box that contains at least N

k things if N objects are put into k boxes.

Because of this, it is impossible to assign 50 distinct addresses to 51 separate homes without utilising a single consecutive integer.

So, at least one instance of a home must have consecutive integers, which.

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There are 2 houses that have at least consecutive integers .

According to the pigeonhole principle, at least one container must hold more than one item if n things are placed into m containers, where n > m.

According to the pigeonhole principle, if there are more pigeons than there are pigeonholes, then at least one pigeonhole must hold more than one pigeon. Although the underlying idea is clear, the ramifications are staggering. The explanation is that the principle establishes the reality (or absence) of a certain phenomena.

There are potential residences and addresses. There must be at least one address between each house in order for there to be no houses with consecutive addresses. To do this, only give houses even numbers (leaving odd addresses as the buffer address)

Houses are given even numbers, leaving odd addresses as the buffer address. As a result, we now have

50

addressable addresses

According to the "pigeon hole concept," if items are put into boxes, then there must be at least one box that contains at

[N/k]object.

As a result, it is impossible to assign distinct addresses to several dwellings without using at least one consecutive number.

Since there must be at least two homes with consecutive integer addresses, there must be at least one instance of consecutive integer addresses for houses.

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Step-by-step explanation:

g(x) =1/3(x-1)

=) x-1/3

=) x-1=3

=) x=3+1

=) x=4

h(x)=x^2-1/x+3

=)x^2-1=x+3

=)x^2-x=3+1

=)x^2-x=4

=)x-x=root 4

=)x-x=2

(gh)(5)=g(x)*h(x)

gh*5=0*2

gh=0/5

gh=0

Answer:

t/n = 5

Step-by-step explanation:

Now:

Let t = Tom's age now.

Let s = sum of children's ages now.

n years ago:

Tom's age = t - n

Each of the three children was n years younger, so the sum of their ages n years ago is s - 3n

t = s

t - n = 2(s - 3n)

t = s

t - n = 2(t - 3n)

t = s

t - n = 2t - 6n

t = s

-t = -5n

-t/n = -5

t/n = 5

Answer:

1

Step-by-step explanation:

The absolute value of x is the black line, therefor the absolute value of x-1 is the blue line

Hope that helps

We have an investment that is compounded monthly.

The initial value PV is 26,000 and the final value FV is 35,100.

The numberof periods is n=6 years and th numbers of subperiods in a year is m=12, as it is compounded monthly.

Our unknown is the nominal annual interest rate (r).

We can relate all this variables as:

If we rearrange we get:

Then, we can find the value of r replacing with the known values as:

Answer: the annual nominal interest rate is 5.01%

Answer:

33 degrees.

Step-by-step explanation: Half of a circle is 180 degrees. If we view the half of circle with angle C on it we can see the other part of the half of circle is 147 degrees. Since we know half a circle is 180 degrees, we subtract our known variable from 180 to get our unknown angle C, 33 degrees.

The cost per second to power such a circuit during the peak usage period is approximately \(2.376 x 10^-6\)$/s. The cost per second to power the circuit during the peak usage period can be calculated using the following steps:

Calculate the power consumption of the device-The power consumption of the device can be calculated using the formula: Power = Voltage x Current. P = V x I, Substituting the given values:

P = 110V x 0.12A

= 13.2 W

Calculate the cost per second-The cost per second can be calculated using the formula:

Cost per second = Power x Cost per Joule

C = P x CC

= 13.2 W x 1.8 x \(10^-7\) $/J

≈ 2.376 x 10^-6 $/s

Therefore, the cost per second to power such a circuit during the peak usage period is approximately 2.376 x\(10^-6\) $/s.

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Answer:

-15

Step-by-step explanation:

First you want to make the -9 into positive because 2 negitives next to eachother equals a positve and them you add together to get 5=x. Lastly you times 5 by -3 to get -15

Answer: Its c

Step-by-step explanation:

It represents a straight line, where the slope indicates the average change per time period, and the intercept is the starting value. This model is ideal for forecasting data with a linear growth pattern.

The linear trend model is appropriate when a time series is expected to grow by a fixed amount each time period. This model assumes that the increase in the variable over time is linear, meaning that it can be represented by a straight line on a graph. The linear trend model can be used to forecast future values of the time series based on its past behavior. In order to fit the linear trend model, at least three data points are required to establish a trend line. This trend line is then used to predict future values of the time series.

If a time series is expected to grow by fixed amounts each time period, the linear trend model is a suitable choice for forecasting future values of the series. When a time series is expected to grow by fixed amounts each time period, the linear trend model should be used. This model is suitable for datasets with a consistent increase or decrease over "three" or more time periods.

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The elevation of the cave in feet will be negative 72 feet. Then the correct option is D.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

A jumper is at a height of - 18 feet comparative with ocean level. The jumper plunges to an undersea cavern that is 4 times as distant from the surface

The elevation of the cave is given as,

Elevation = - 18 x 4

Elevation = - 72 feet

The elevation of the cave in feet will be negative 72 feet. Then the correct option is D.

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Answer:

-0.3

Step-by-step explanation:

X---Y---Z. XY+Y ---} 7x+4x+3 ---} 10x+3=0 ---} 10x=-3 ---} x=-0.3

Answer:

6x+2

Step-by-step explanation:

First you have to do the parenthesis.

The equation should be now,

7x+3x-6-4x+8

I would now add the variables

6x-6+8

6x+2

Five apples would be in the fruits.

The meaning of one-quarter definitions. An equal portion of four. Synonyms: a fourth, a fourth portion, a quarter etc.

The number of bananas, pears, and plums is equal to the quantity of apples and oranges if the apple and orange are quarters.

If you combine the bananas, pears, and plums together,

you'll get 10 fruits;

that number equals the quantity of apples and oranges;

if the apple makes up a quarter of the total,

then 5 apples make up the other half of the total.

Therefore, 5 apples are there.

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The complete question is,

one quarter were apple and one quarter in orange and there were also 4 bananas, 3 pears and 3 plums. How many would be apple?

The simplified expression for (f ∘ g)(x) is 2 + x (option d).

To find and simplify (f ∘ g)(x), we need to substitute the expression for g(x) into f(x) and simplify.

Given:

f(x) = log₃(9x)

g(x) = \(3^x\)

Substituting g(x) into f(x):

(f ∘ g)(x) = f(g(x)) = log₃\((9 * 3^x)\)

Now, we simplify the expression:

log₃\((9 * 3^x)\) = log₃(9) + log₃\((3^x)\)

Since logₓ(a * b) = logₓ(a) + logₓ(b), we have:

log₃(9) + log₃\((3^x)\) = log₃\((3^2)\) + x

Using the property logₓ\((x^a)\) = a * logₓ(x), we get:

log₃\((3^2)\) + x = 2 * log₃(3) + x

Since logₓ\((x^a)\) = a, where x is the base, we have:

2 * log₃(3) + x = 2 + x

Therefore, (f ∘ g)(x) simplifies to:

(f ∘ g)(x) = 2 + x

So, the correct answer is (d) 2 + x.

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Complete Question:

Given f(x)=log₃(9x) and g(x)=\(3^x\). Find and simplify (f ∘ g)(x)

(a) 2x

(b) x

(c) \(27^x\)

(d) 2+x

(e) None of these.

Answer:

8 N + 2

Step-by-step explanation:

==> 8 N + 2

-----------_________-------------

Discrete - Whole days spent on holiday, Number of sheep in a field

Continuous - Length of a fish, Height of a wardrobe

Data that can only take on particular values or categories is referred to as discrete data. There are distinct, independent, and countable data points in it. Discrete data cannot be broken into smaller units because it is often based on categories, labels, or full numbers.

Thus it follows that Whole days spent on holiday and  Number of sheep in a field are examples of discreet data while Length of a fish and  Height of a wardrobe are examples of continuous data.

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The radius of the pool is 9.01 m.

Given,

In the question:

A circular pool is surrounded by a brick walkway 3 m wide.

The area of the walk- way is 198 m^2.

To find the Radius of the pool.

Now, According to the question:

"Area of the circle bounded by the outside edge of the walkway" minus "area of the pool" = "area of the walkway".

Let R = Radius of the pool

Area of the circle bounded by the outside edge of the walkway is:

\(\pi\)(R +3)^2

Area of the pool is:

\(\pi R^2\)

Now, Our equation is:;

\(\pi\)(R +3)^2 - \(\pi R^2\) = 198

\(\pi\)((R+3)^2 - \(R^2\)) = 198

Open the inner bracket :

\(\pi\)(\(R^2+6R+9-R^2\)) = 198

\(\pi\)(6R +9) = 198

6R+9 = 198/\(\pi\)

6R = 198/\(\pi\) - 9

R = (198/\(\pi\) - 9)/6

R = (198/(3.14) - 9)/6

R = (63.057 - 9)/6

R = 54.057/6

R = 9.01 meters

Hence, The radius of the pool is 9.01 m.

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Answer:

it IS b

Step-by-step explanation:

Answer:

boys = 600 and girls = 800

Step-by-step explanation:

take the 3:4 ratio and add together = 7

then divide the total (1400) by 7 = 200

to find the boys multiple 3 * 200 = 600

to find the girls multiple 4 * 200 = 800

800 + 600 = 1400

Answer:

600= 800Step-by-step explanation:

im right

Answer:

The radius is 9.28 inches.

Step-by-step explanation:

Since there are 7 Move Ahead zones, and 3 Go Backwards zones on the spinner, there must be 2 other zones (the Freeze! +Bonus pts)

2 out of 12 zones are Freeze! +Bonus pts. That is 1/6 of the spinner. They said the area of the the Freeze!+Bonus pts is 45.1 inches squared.

45.1 × 6

= 270.6

The entire spinner has the area 270.6

The area of a circle is:

A = pi•r^2

We are looking for r. Thats the radius they asked for in the question.

270.6 = pi•r^2

pi is a number, I'm using the pi button on the calculator bc it is most exact.

270.6 = pi•r^2

Divide both sides by pi.

86.134655 = r^2

square root both sides.

9.28 = r

The radius is 9.28 inches.

Answer:

 3:9 6:15 14:21 15:35 all of these should work

If a differentiable function f: ℝ³ ⟶ ℝ has an absolute maximum value K ≠ 0 and an absolute minimum m, then the function f must have a critical point where the derivative of the function is zero (or undefined).

Given that, suppose f : ℝ³ ⟶ ℝ is a differentiable function which has an absolute maximum value K ≠ 0 and an absolute minimum m.

Since f is continuous on a compact set, it follows that f has a global maximum and a global minimum. We are given that f has an absolute maximum value K ≠ 0 and an absolute minimum m. Then there exists a point a ∈ ℝ³ such that f(a) = K and a point b ∈ ℝ³ such that f(b) = m.Then f(x) ≤ K and f(x) ≥ m for all x ∈ ℝ³.

Since f(x) ≤ K, it follows that there exists a sequence {x_n} ⊆ ℝ³ such that f(x_n) → K as n → ∞. Similarly, since f(x) ≥ m, it follows that there exists a sequence {y_n} ⊆ ℝ³ such that f(y_n) → m as n → ∞.Since ℝ³ is a compact set, there exists a subsequence {x_nk} and a subsequence {y_nk} that converge to points a' and b' respectively. Since f is continuous, it follows that f(a') = K and f(b') = m.

Since a' is a limit point of {x_nk}, it follows that a' is a critical point of f, i.e., ∇f(a') = 0 (or undefined). Similarly, b' is a critical point of f. Therefore, f has at least two critical points where the derivative of the function is zero (or undefined). Hence, the statement is true.

Therefore, the above explanation is verified that if a differentiable function f: ℝ³ ⟶ ℝ has an absolute maximum value K ≠ 0 and an absolute minimum m, then the function f must have a critical point where the derivative of the function is zero (or undefined).

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B postulates and C axioms are accepted without proof in a logical system.

A theorem is a statement that can be proven true using standard mathematical operations and reasoning. A theorem, in general, is an embodiment of a general principle that is part of a larger theory. A proof is the process of demonstrating that a theorem is correct.

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