10. Write as a fraction in its simplest form. show all your working.​

Answer:the cycle repeats every 2pi radians

Step-by-step explanation:

Answer:

The statement which does not describe the tangent function is A. The cycle repeats every 2pi radians.

Step-by-step explanation:

The tangent function is the ratio of the length of the opposite side to that of the adjacent side. It is also described  as the ratio of sine and cos .

If we analyses the tan function graph we will happened to find that it repeats itself after every π radian .

So, its cycle cannot repeat every 2pi radians.

Therefore,  The statement which says that The cycle repeats every 2pi radians does not describe the tangent function.

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Answer:

10 feet = 120 inches

120 / 7 = 17.1428571429

So, the scale is 17.1428571429 to 1.

Step-by-step explanation:

The probability of making a type i error is also α = 0.05 or 5% of error.

For the given question,

A Type I error occurs when a significance test results in the rejection of a true null hypothesis. By one common convention, if the probability value is below 0.05, then the null hypothesis is rejected.

The null hypothesis assumes no cause and effect relationship between the tested item and the stimuli applied during the test. The probability of making a type I error is represented by the alpha level (α), which is the p-value below which you reject the null hypothesis.

Thus, If a hypothesis is tested at the α=0.05 level of significance, then the probability of making a type i error is also α=0.05 or 5% of error.

Hence we can conclude that the probability of making a type i error is also α = 0.05 or 5% of error.

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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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ItItItIt takes Laura  15 minutes (0.25 hours) to cycle to the post office.

a. It takes Laura  15 minutes (0.25 hours) to cycle to the post office.

b. Speed:

Speed=Distance/Time

Speed=4/0.25

Speed=16 km/hr

c.  It takes Laura  20 minutes to cycle to the post office.

d. Time

Time=20 minutes (1/3 hour)

Speed:

Speed=Distance/Time

Speed=4÷1/3

Speed=12 km/hr

Therefore It takes Laura  15 minutes (0.25 hours) to cycle to the post office.

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Answer:

The volume of the cylinder would be 1539.38

No nonempty proper subset of these roots sums to zero.

The six distinct roots of unity that sum to zero but for which no nonempty proper subset sums to zero are:

\(1, w, w^2, -1, -w, -w^2\)

where w is a complex cube root of unity, i.e., \(w^3 = 1.\)

To see that these roots sum to zero, we can use the fact that the sum of all nth roots of unity is zero, except for the case n = 1, where the sum is 1. That is,

\(1 + w + w^2 + ... + w^{(n-1)} = 0\)

if n > 1, and

1 = 1

if n = 1.

For the case n = 6, we have the six distinct roots of unity \(1, w, w^2, -1, -w, -w^2\), and their sum is:

\(1 + w + w^2 + (-1) + (-w) + (-w^2) = 0\)

To see that no nonempty proper subset of these roots sums to zero, we can use a proof by contradiction. Suppose there exists a nonempty proper subset S of these roots such that the sum of the elements in S is zero. Since S is nonempty, it must contain at least one of the roots 1, w, or \(w^2\). Without loss of generality, assume that S contains the root 1. Then, S must also contain exactly two of the roots -1, -w, and \(-w^2\), since the sum of any three of these roots is zero. But this implies that S contains at least one negative root, which contradicts the assumption that the sum of the roots in S is zero, since the negative roots cancel out the positive roots. Therefore, no nonempty proper subset of these roots sums to zero.

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The [-2] index accesses the element at the second-to-last position in the list. By assigning it to the variable x, you store the value of the next-to-last element in x.

The Python math module provides functions that are useful in number theory as well as in representation theory, a related field. These functions allow you to calculate a range of important values, including the following: The factorials of a number. The greatest common divisor of two numbers.

To assign the next-to-last element of the list plist to the variable x, you can use the following statement in Python:

x = plist[-2]

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Answer:

Teens who use online shopping sometimes = 6

total number of people who use online shopping sometimes = 20

total percentage of teens using online shopping sometimes = 6/20*100 => 30%

hope it helps

have a nice day

The social security and Medicare deductions for the following employee are  $7768 and $1816 respectively.

What is arithmetic?

Arithmetic is an elementary a part of arithmetic that consists of the study of the properties of the normal operations on numbers—addition, subtraction, multiplication, division, mathematical process, and extraction of roots

Main body:

Cumulative Earnings before this pay period = $128,300

pay amount this period = $3000

tax rate of 6.2% on social security = 6.2%

effective earning = 128300 = 3000

                            = 125300

social security deduction = 6.2 % of 125300

⇒ 6.2 *125300 /100

⇒$7768

Medicare deductions = 1.45%

⇒ 1.45*125300/100

⇒$1816

Hence , the social security and Medicare deductions for the following employee are  $7768 and $1816 respectively.

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Answer:

True

Step-by-step explanation:

6 divided by 1/2 is the same as multiplying by two

Answer:

True

Step-by-step explanation:

6 divided by 1/2 = 12

You cannot divide a number by a fraction, so you must multiply by the reciprocal, or the opposite. The reciprocal of 1/2 is 2/1, or 2. 6*2=12

Answer: 3

Step-by-step explanation: well if he does rows of 10 then it will have to be 3   and he will have 20 potato plants left over.

Answer:

The answer is -285

Step-by-step explanation:

Answer:

x = 1, x = 3 are the solutions

Step-by-step explanation:

Since the left side of both equations is y we can set the right sides equal to each other and solve:

x² - 2x + 2 = 2x - 1

Subtract 2x from both sides:
x² -2x - 2x + 2 = 2x - 2x - 1

x² - 4x + 2 = -1

Add 1 to both sides

x² - 4x + 2 + 1 = -1 + 1

x² - 4x + 3 = 0

We can factor the left side expression as follows:
x² - 4x + 3 = (x - 1)(x -3)

which gives

(x - 1)(x -3) = 0

This means either x - 1 = 0 giving a solution of x = 1

or

x - 3 = 0 giving a solution of x =3

Answer:

how u love me and u dont even kno me

Answer:

Thank you.

Step-by-step explanation:

I'll press thank you on your account. I'm 14 btw too. 15 in Jan.

The probability of getting exactly one face card is 0.72.

According to the questions two cards are drawn from a deck.

Since, we know that

Total number of cards in a deck = 52

Total number of face cards =  3 × 4 = 12

So, the number of ways of selecting 2 cards from a deck = \(^{52} C_{2}\)

And, the total number of ways of  getting exactly one face cards

= \(^{12} C_{1} \times ^{40} C_{1}\)  + \(^{40} C_{1} \times ^{12} C_{1}\)

= 2\(^{40} C_{1} \times ^{12} C_{1}\)

Therefore, the probability of getting exactly one face card

= \(\frac{2(^{40} C_{1} \times ^{12} C_{1})}{^{52C_{2} } }\)

\(= \frac{2(\frac{40 \times 39!}{1!\times 39!} \frac{12\times 11!}{11!}) }{\frac{52\times 51\times 50!}{2!\times50!} }\)

\(= \frac{2(40\times 12)}{26\times 51}\)

\(=\frac{2\times 480}{1326}\)

= 0.72

Hence, the probability of getting exactly one face card is 0.72.

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Answer:

Step-by-step explanation:

Given

Answer choices:

A. Nine times the sum of a number and three is less  than six times the same number decreased by  twelve.

B. The product of nine and a number increased by three is less than the product of six and the same  number decreased by twelve.

C. Nine multiplied by the sum of a number and three is greater than the product of six and the ...

Answer: The first 3 options

Step-by-step explanation:

You have to make sure that the given variable would be able to equal -5. The  \(\geq\) sign in the second and third answer show that the variable could be equivalent to -5.

Answer:

g > -7, f ≤ -5 and g ≥ -5

Step-by-step explanation:

the < and > symbols mean less than and greater than respectively, but not including. Therefore -5 cannot be a valid solution if the range is (for example) g > -5. However, ≤ and ≥ mean less/greater than or equal to, so -5 would be a valid solution for g ≥ -5 (for example).

Answer:

About 55.9 degrees

Step-by-step explanation:

The cosine of an angle is equivalent to the length of the adjacent side divided by the length of the hypotenuse. Therefore:

\(\cos x= \dfrac{14}{25} \\\\x=\cos^{-1}\left( \dfrac{14}{25}\right) \approx 55.9\)

Hope this helps!

The simplified expression for f(y+7) is -y-16.

To find f(y+7), we need to substitute y+7 for t in the function rule:

f(t) = -t - 9

Replacing t with y+7, we get:

f(y+7) = -(y+7) - 9

Simplifying this expression, we can distribute the negative sign:

f(y+7) = -y - 7 - 9

Combining like terms, we get:

f(y+7) = -y - 16

Therefore, the simplified expression for f(y+7) is -y-16.

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Step-by-step explanation:

In mathematics, factorization or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind. For example, 3 × 5 is a factorization of the integer 15, and is a factorization of the polynomial x² – 4. 

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The coordinates of one point in the solution set are (2, 0)

The system of inequality is given as

-7x + 3y < 3

5x + 7y ≥ -7

The graph that completes the question is added as an attachment

From the question, we also have the graph that represents the inequalities in the above system of inequality

As a general rule, the shaded region in a system of inequality represents the solution set

From the attached graph, the point (2, 0) is in the shaded region

Hence, the coordinates of one point in the solution set are (2, 0)

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Complete Question

You are given the dollar value of a product in 2016 and the rate at which the value of the product is expected to change during the next 5 years. Use this information to write a linear equation that gives the dollar value V of the product in terms of the terms of year t. (Let t=16 represent 2016)

2016 Value     Rate

$2150           $250 increase per year

Answer:

The  equation is  \(V(t) = 250 (t) + 4.3\)

Step-by-step explanation:

Generally linear equation is represented mathematically as follows

      \(y = mx + c\)

Where  y is the dependent variable which in this case is  dollar value of a product (V(t))

   x is the independent variable which in this case is the time in years(t)

  m is the slope which in this case is the  rate at which the value of the product is expected to change during the next 5 years

So  

        \(V(t) = m t + c\)

When  t =  16  years

         \(2150 = 250 (16) + c\)

=>       \(c = 4.3\)

So the linear equation is  

      \(V(t) = 250 (t) + 4.3\)

The dimensions of the vegetable patch with the largest area we can enclose are

length = 12 feet and breadth = 6 feet.

Given, a rectangular vegetable patch.

The fencing for the east and west sides costs $4 per foot, and the fencing for the north and south sides costs only $2 per foot.

We have a budget of $96 for the project.

Let the length of the rectangle be, l

and breadth of the rectangle be, b

according to the ques,

4l + 8b = 96

l + 2b = 24

l = 24 - 2b

Now, area of the rectangle be,

Area = length×breadth

Area = l×b

A = (24 - 2b)b

A = 24b - 2b²

On differentiating both sides, we get

A' = 24 - 4b

b = 6

l = 24 - 12 = 12

So, the dimensions of the vegetable patch with the largest area we can enclose are

length = 12 feet and breadth = 6 feet.

Hence, The dimensions of the vegetable patch with the largest area we can enclose are

length = 12 feet and breadth = 6 feet.

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A. The statement is true. By the Pythagorean Theorem, two vectors u and v are orthogonal if and only if ||u+v||^2=||u||^2+||v||^2.

The given equation ||u||^2+||v||^2=||u+v||^2​ is exactly the same as the Pythagorean Theorem, therefore, u and v are orthogonal. The Pythagorean Theorem states that for any right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. This is applicable in vector addition, where u and v are the other two sides of the triangle and ||u+v|| is the hypotenuse. Therefore, the statement is true and option A is the correct answer.

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The value of P(B|A) is 3/8.

To calculate the conditional probability P(B|A), we need to find the probability of event B occurring given that event A has already occurred.

Event A: There are at least two consecutive heads somewhere in the sequence.

Event B: The last flip comes up tails.

To find P(B|A), we first need to determine the probability of event A occurring. Then, we calculate the probability of both events A and B occurring together.

Let's analyze the possibilities:

1. HHT: In this case, event A occurs (two consecutive heads) and event B occurs (the last flip is tails).

2. HTH: Event A occurs (two consecutive heads), but event B does not occur (the last flip is heads).

3. THH: Event A occurs (two consecutive heads), but event B does not occur (the last flip is heads).

4. HHH: Event A occurs (three consecutive heads), but event B does not occur (the last flip is heads).

5. TTT: Neither event A (no consecutive heads) nor event B (the last flip is not tails) occurs.

6. TTH: Neither event A (no consecutive heads) nor event B (the last flip is not tails) occurs.

7. THT: Neither event A (no consecutive heads) nor event B (the last flip is not tails) occurs.

8. HTT: Neither event A (no consecutive heads) nor event B (the last flip is not tails) occurs.

Out of these possibilities, there are three cases where event A and event B occur together: HHT, TTH, and THT.

Therefore, P(B|A) is equal to the probability of event B occurring given that event A has occurred. Since three out of the eight possibilities satisfy this condition, the probability is 3/8.

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Answer:

K is the midpoint of JL.

I hope this helps:)

Answer:

15

Step-by-step explanation:

Depth of well = No. of turns × length of one turn

Given:   Depth of well = 9.89m = 989cm          [1m = 100cm]

Let number of turns be x

Length of one turn = 2πr or π×diameter

Now , 989=x×π×21

989=x×(22/7)×21

x=989×7/(22×21)

x=14.98 ≈15 turns    

[Number of turn never be in decimals]

Hence number of  15 complete turns of the handle required to bring up the bucket