The number of decimal places after which the decimal expansion of the rational number 23/2^2×5.

Answer:

69.8°

Step-by-step explanation:

Since cosФ = -0.3456

Ф = cos⁻¹(-0.3456)

Ф = 110.2°

Since the angles are supplementary, let the acute angle be x

So, x + 110.2° = 180°

x = 180° - 110.2°

x = 69.8°

An appropriate range of values for the diameter of the iron dowel is given as follows:

Between 0.335 and 0.355.

An appropriate range of values for the diameter of the iron dowel is given by the specified measure plus/minus the margin of error.

The specified measure for this problem is given as follows:

0.345 inches.

Hence the lower bound of values is given as follows:

0.345 - 0.01 = 0.335 inches.

The upper bound of values is given as follows:

0.345 + 0.01 = 0.355.

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Answer: 12 balls i think

Answer:

answer is 12

Step-by-step explanation:

i took the quiz.

The equation for C, in terms of t, representing the number of chocolates remaining in the box t days after Violet's birthday is C = 24 - 4t

Number of chocolate violet eats each night = 4

Number of chocolate originally in the box = 24

Number of chocolate remaining = C

Number of days after violet birthday = t

Number of chocolate remaining = Number of chocolate originally in the box - (Number of chocolate violet eats each night × Number of days after violet birthday)

C = 24 - (4 × t)

C = 24 - 4t

In conclusion, the equation which represents violet's remaining chocolate after her birthday is C = 24 - 4t

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If you want the probability of randomly drawing a red marble to be 3/5, you need to add 13 red marbles.

The probability of drawing a red marble is equal to the quotient between the number of red marbles and the total number of marbles in the bag.

Initially, there are 12 red marbles and 32 in total, so if we add another x red marbles, we will have:

Then the probability will be:

p = (12 + x)/(32 + x)

And we want this to be 3/5, then we need to solve:

(12 + x)/(32 + x) = 3/5

(12 + x)*5 = 3*(32 + x)

60 + 5x = 96 + 3x

5x - 3x = 96 - 60

2x = 36

x = 36/2 = 13

x = 13

You need to add 13 red marbles.

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Answer:

1: $5

2: 7

3: 18

4: 17

5: 2

6: 1,029

Step-by-step explanation:

Answer:

|-5| > |3|

because the absolute value of -5 is five which is greater than 3

Answer:

B. 154 feet

Step-by-step explanation:

Since we know the statue stands with the foundation and pedestal 305 feet, and with out the foundation and pedestal 151 feet, to find the height of the foundation and pedestal subtract 151 from 305.

305 - 151 = 154

Answer:

2 2/9

Hope this helps!

Answer:

u = 3

Step-by-step explanation:

Step 1: Distribute 5 in u - 5

\(\displaystyle{5\cdot u - 5\cdot 5 +6u=8}\\\\\displaystyle{5u-25+6u=8}\)

Step 2: Add like terms together (u-term)

\(\displaystyle{11u-25=8}\)

Step 3: Add both sides by 25

\(\displaystyle{11u-25+25=8+25}\\\\\displaystyle{11u=33}\)

Step 4: Divide both sides by 11

\(\displaystyle{\dfrac{11u}{11}=\dfrac{33}{11}}\\\\\displaystyle{u=3}\)

Answer Check

Step 1: Substitute u = 3 in the equation

\(\displaystyle{5(3-5)+6(3)=8}\)

Step 2: Evaluate & Simplify

\(\displaystyle{5(-2)+18=8}\\\\\displaystyle{-10+18=8}\\\\\displaystyle{8=8}\)

Since the equation is true after substituting u = 3. Therefore, the answer is u = 3.

Please let me know if you have any questions!

Answer:

92

Step-by-step explanation:

w=7

x=4

y=8

z=1

8^2 + 2(4) + 3 (7) -1

64 + 2 * 4 + 3  * 7 -1

64 + 8 + 21 - 1

72 + 20

92

The given equation is (D³ - 5D² + 3D + 9)y = 0, where D represents the differential operator. This is a linear homogeneous ordinary differential equation.

To solve this equation, we can assume a solution of the form y = e^(rx), where r is a constant to be determined. Substituting this into the equation, we get the characteristic equation:

r³ - 5r² + 3r + 9 = 0

To find the roots of this cubic equation, we can use various methods such as factoring, synthetic division, or numerical methods like Newton's method. Solving the equation, we find the roots:

r₁ ≈ 3.145

r₂ ≈ -1.072 + 0.925i

r₃ ≈ -1.072 - 0.925i

Since the equation is linear, the general solution is a linear combination of the individual solutions:

y = C₁e^(3.145x) + C₂e^((-1.072 + 0.925i)x) + C₃e^((-1.072 - 0.925i)x)

where C₁, C₂, and C₃ are arbitrary constants determined by initial conditions or boundary conditions.

In summary, the general solution to the differential equation (D³ - 5D² + 3D + 9)y = 0 is given by y = C₁e^(3.145x) + C₂e^((-1.072 + 0.925i)x) + C₃e^((-1.072 - 0.925i)x), where C₁, C₂, and C₃ are constants.

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Two angles that have the same initial side and share the same terminal side are called coterminal angles.

The answer for the first blank space is:

Coterminal

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

Increasing or decreasing the degree measure of an angle in standard position by an integer multiple of 360 results in a coterminal angle.

Therefore, the answer for the second blank space is:

360 degrees

Answer:

Step-by-step explanation:

let f(x)=ab^x

when x=1,f(x)=6

6=ab

when x=2,f(x)=18

18=ab^2

divide

\(\frac{ab^2}{ab}=\frac{18}{6}\\b=3\\ab=6\\3a=6\\a=2\\f(x)=2(3)^x\)

According to the passage, the historical event that is most reminiscent of this is Bloody Sunday. Thus, the correct option for this question is A.

Reminiscent experiences are ones that one should keep in mind from the past and are frequently recorded in books. It symbolizes the feeling of recollections of something similar coming back.

The song that they sang five times in a row creates a sensation of joy, according to the context of this inquiry. But regrettably, the commotion roused Mr. Jones, who sprang out of bed and checked to see whether there was a fox in the yard. The historical occurrence that most closely resembles this is Bloody Sunday.

Therefore, the historical event that is most reminiscent of this is Bloody Sunday.

Complete question:

They were so delighted with the song that they sang it right through five times in succession and might have continued singing it all night if they had not been interrupted, Unfortunately, the uproar awoke Mr. Jones, who sprang out of bed, making sure that there was a fox in the yard. He seized the gun which always stood in a corner of his bedroom, and let fly a charge of Number 6 shot into the darkness. The pellets buried themselves in the wall of the barn and the meeting broke up hurriedly.

Which historical event is this passage most reminiscent of?

A-Bloody Sunday

B-the Bolshevik Revolution

C- the rise of Lenin

D-collectivization

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The paragraph claims that Bloody Sunday is the historical occurrence that most closely resembles this one. As a result, choice A is the right response to this query.

Reminiscent experiences are ones from the past that one should remember and are usually written about in novels. It represents the sensation of memories of something similar returning.

According to the setting of this enquiry, the song that they sang five times in a row induces feelings of delight. Unfortunately, the noise woke up Mr. Jones, who quickly got out of bed to investigate if there was a fox in the yard. Bloody Sunday is the historical episode that most closely approaches this.

Bloody Sunday is the historical occurrence that most closely resembles this now.

Which historical event is this passage most reminiscent of?

A-Bloody Sunday

B-the Bolshevik Revolution

C- the rise of Lenin

D-collectivization

Answer:

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

According to the diagram we have:

1) Angles w and 138° form a linear pair, hence:

2) Angles 19°, x and w form a right angle, hence:

Answer:

I can help you with C and I tis non-linear because to make it linear it needs to be a straight line and shouldn't have any curves.

Step-by-step explanation:

One cannot add themselves directly to Wikipedia as this can cause harm to the platform and community in a later run. As one can start adding content and details on the page based on their personal opinions.

Therefore we can say that  the answer is that we cannot edit or create our own Wikipedia page, because that would be a conflict of interest ,more on this later.

But the thing which one can do is to add themselves in the line ,to list themselves on Wikipedia’s repository of articles which are out there looking for creators who can help maintain the site.

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Answer:

Factors of 65: 1, 5, 13, and 65.

Prime Factorization of 65: 65 = 5 × 13.

Step-by-step explanation:

hope this helps!

Answer:

1, 5, 13, and 65.

Step-by-step explanation:

The simplest form is (-2 ±√12)/2.

What is simplification?

To simplify simply means to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue. Simplifying procedures is one way to achieve uniformity in work efforts, expenses, and time. It reduces diversity and variety that is pointless, harmful, or unnecessary.

Here, we have

Given: x = (-4 ±√48)/4

We have to simplify the given term.

x = (-4 ±√48)/4

x =  (-4 ±√12×4)/4

x =(-4 ±2√12)/4

Now, we take 2 as common and get

x = (-2 ±√12)/2

Hence, the simplest form is (-2 ±√12)/2.

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Answer:

We get -2 < r < 3

Corresponding to the fourth choice

The fourth number line is the correct option

Step-by-step explanation:

-2 < 3r+4 < 13

We have to isolate r,

subtracting 4 from each term,

-2-4< 3r + 4 - 4 < 13 - 4

-6 < 3r < 9

divding each term by 3,

-6/3 < r < 9/3

-2 < r < 3

so, the interval is (-2,3)

or, -2 < r < 3

this corresponds to

The fourth choice (since there is no equality sign)

Answer:

<C = 54 degrees

b = 123.6

a = 72.6

Step-by-step explanation:

<C = 180 - 90 - 36 = 54 degrees

b = 100/sin54 = 123.6

a = sqrt (123.6^2 - 100^2) = 72.6

Cell contents assignment to a non-cell array object" is an error message that occurs when you attempt to assign cell contents to a variable that is not a cell array.

In MATLAB, a cell array is a data structure that can hold different types of data, including other arrays, matrices, or even other cell arrays.

When you encounter the error message "Cell contents assignment to a non-cell array object," it means that you are trying to assign cell contents (data wrapped in curly braces {}) to a variable that is not a cell array.

The error typically occurs when you mistakenly try to assign cell contents to a regular array, matrix, or another non-cell variable.

To resolve this error, make sure you are assigning cell contents to a variable that is explicitly defined as a cell array using the curly braces {}.

The error message "Cell contents assignment to a non-cell array object" indicates that you are trying to assign cell contents to a variable that is not a cell array. Check your code and ensure that you are assigning cell contents to a variable that is explicitly defined as a cell array using curly braces {}.

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Required values of the given sin M, Cos M and tan M are 0.4959, 0.3571 and 2.7889 respectively.

What is Trigonometric ratio?

Trigonometric ratios are mathematical relationships between the angles and sides of a right triangle. They are expressed as the ratio of the length of one side of the triangle to another, and are commonly referred to as sine, cosine, tangent, cosecant, secant, and cotangent. These ratios are widely used in various fields of mathematics, science, engineering, and technology, and play a significant role in solving problems related to geometry, physics, and other disciplines.

To find the sine, cosine, and tangent of angle M in triangle KLM, we can use the following trigonometric ratios:

sin M = opposite/hypotenuse = KL/ML

cos M = adjacent/hypotenuse = MK/ML

tan M = opposite/adjacent = KL/MK

Substituting the given values, we get:

sin M = KL/ML = (3√19)/14

cos M = MK/ML = 5/14

tan M = KL/MK = (3√19)/5

Using a calculator, we can find the decimal approximations:

sin M ≈ 0.4959

cos M ≈ 0.3571

tan M ≈ 2.7889

Therefore, the exact values and four-decimal approximations for sin M, cos M, and tan M are:

sin M = (3√19)/14 ≈ 0.4959

cos M = 5/14 ≈ 0.3571

tan M = (3√19)/5 ≈ 2.7889

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Answer:It’s the last one

Step-by-step explanation:

I just did the math in a calculator.

Answer:

hi the correct answer I believe would be 500

Step-by-step explanation:

since it's a 50 out of 50 chance (because it is heads and tails) the only logical way of thinking this through would be half and half

what I did was simply divide 1,000 by 2 to get 500 so there are 500 heads to be expected.

I hope I was any help to this

If you started with 100 grams of radon-222 and it has a half-life of 2.183 days, after 4 days, 46.6 grams of radon-222 will remain.

The half-life of a radioactive element is the time it takes for half of the atoms in a sample to decay. This means that after one half-life, the amount of the element remaining will be half of the original amount. After two half-lives, the amount remaining will be a quarter of the original amount, and so on.

To find the amount of radon-222 remaining after 4 days, we can divide the length of time by the half-life to find out how many half-lives have passed. In this case, 4 days / 2.183 days = 1.84 half-lives. This means that the amount of radon-222 remaining will be a quarter of the original amount.

If we started with 100 grams of radon-222 and a quarter remains after 1.84 half-lives, the amount remaining will be 100 grams * 0.25 = 46.6 grams.

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