What is the value of 8 in 0.283

Answer:

A

Step-by-step explanation:

Answer:

A is correct

Step-by-step explanation:

I took the test and got it right and (x, y) → (x – 6, y – 1) if you do the equation it fits the image

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1. Here,

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\( \sf \longrightarrow x + 45^\circ = 180^\circ \) ( Linear pair of angles measure upto 180° )

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Thus,

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\( \sf \longrightarrow x + 45^\circ = 180^\circ \\ \\ \\ \sf \longrightarrow x = 180^\circ - 45^\circ \\ \\ \\ \sf \longrightarrow \underline{ \boxed{ \frak{ \blue{ x = 135^\circ }}}} \: \star \: \: \: \: \: \: \: \\ \\ \)

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Now, for y,

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\( \sf \longrightarrow \underline{ \boxed{ \sf{ \orange{y = 45^\circ}}}} \: \star \) ( Vertically Opposite Angles)

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\( \underline{\rule{230pt}{2pt}} \)

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Answer:

The mathematical problem that forms the basis of most modern cryptographic algorithms is the difficulty of factoring large prime numbers.

Step-by-step explanation:

The problem that forms the basis of most modern cryptographic algorithms is the difficulty of factoring large integers into their prime factors. This is known as the integer factorization problem. It is believed to be a computationally hard problem, meaning that it would take an impractically long time to factor very large integers using classical computers. Many cryptographic algorithms, such as RSA, rely on this problem for their security.

The lateral faces of the given prism are rectangles and thus prove that it is a right prism, we need to have certain information about its properties and dimensions.

The term "right prism" means that the prism has rectangular bases that are perpendicular to the lateral faces or sides. This means that all the lateral faces must also be rectangles, as stated in the question.It also does not provide any angles or other measurements that can help us determine if the faces are rectangles or not.
We could make some assumptions based on the definition of a right prism and the fact that it is a commonly used shape in geometry and engineering. We could assume that the prism has right angles at all of its corners and that its lateral faces are parallel to each other.

The lateral faces of the prism are rectangles, its dimensions and properties. This could be provided through measurements or diagrams that show the shape and angles of the prism, or through mathematical calculations that demonstrate that the faces must be rectangles based on the given dimensions.

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Answer:

look below

Step-by-step explanation:

I'll go in order from top to bottom

\(5\frac{2}{3}\)

\(1\frac{5}{9}\)

\(6\frac{1}{2}\)

\(6\frac{1}{3}\)

\(5\frac{1}{2}\)

Finding the six trigonometric functions of θ: Since (-3,3) is a point on the terminal side of θ, we can use the coordinates of this point to determine the values of the trigonometric functions.

Let's label the legs of the right triangle formed as opposite = 3 and adjacent = -3, and use the Pythagorean theorem to find the hypotenuse.

Using Pythagorean theorem: hypotenuse² = opposite² + adjacent²

hypotenuse² = 3² + (-3)²

hypotenuse² = 9 + 9

hypotenuse² = 18

hypotenuse = √18 = 3√2

Now we can calculate the trigonometric functions:

sin θ = opposite/hypotenuse = 3/3√2 = √2/2

cos θ = adjacent/hypotenuse = -3/3√2 = -√2/2

tan θ = opposite/adjacent = 3/-3 = -1

csc θ = 1/sin θ = 2/√2 = √2

sec θ = 1/cos θ = -2/√2 = -√2

cot θ = 1/tan θ = -1/1 = -1

Therefore, the exact values of the six trigonometric functions of θ are:

sin θ = √2/2, cos θ = -√2/2, tan θ = -1, csc θ = √2, sec θ = -√2, cot θ = -1.

Part 2: Finding the remaining trigonometric functions given tan θ and sin θ:

Given that tan θ = and sin θ < 0, we can deduce that θ lies in the third quadrant of the unit circle where both the tangent and sine are negative. In this quadrant, the cosine is positive, while the cosecant, secant, and cotangent can be determined by taking the reciprocals of the corresponding functions in the first quadrant.

Since tan θ = opposite/adjacent = sin θ/cos θ, we have:

sin θ = -1 and cos θ =

Using the Pythagorean identity sin² θ + cos² θ = 1, we can find cos θ:

(-1)² + cos² θ = 1

1 + cos² θ = 1

cos² θ = 0

cos θ = 0

Now we can calculate the remaining trigonometric functions:

csc θ = 1/sin θ = 1/-1 = -1

sec θ = 1/cos θ = 1/0 = undefined

cot θ = 1/tan θ = 1/-1 = -1

Therefore, the exact values of the remaining five trigonometric functions of θ are:

sin θ = -1, cos θ = 0, tan θ = -1, csc θ = -1, sec θ = undefined, cot θ = -1.

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Answer: 5) Decrease 6) -44.4%

Step-by-step explanation: Percent change formula is as follows: final - initial / initial

(10-18)/18 = -8/18 = 0.44444 to turn into a percent multiply by 100 to get 44.4 percent change when rounded

Explanation :

Slope Intercept Form of a line is y = mx + b, where m = slope, b = y - intercept, and x and y are variables.

To write the equation of a line in slope intercept form, we need to find m and b first.

Parallel lines have equal slopes.  

Perpendicular lines have slopes that are negative reciprocals.

y = 3x + 5 is a line with a slope of m = 3.  

A line perpendicular to that line will have a slope that is the negative reciprocal of 3.  

The reciprocal of 3 is 1/3. So the negative reciprocal of 3 is -1/3.

Therefore, we want to write the equation of a line with slope, m = -1/3, and passes through the point (6, - 8) = (x, y).

To write the equation in slope intercept form, y = mx + b, we also need to find the y - intercept, which is b.

y = mx + b

-8 = (-1/3)(6) + b      (we've set up the equation with only one unknown, b, that we can now solve for)

-8 = -2 + b  

b = -6

With a slope, m = -1/3, and a y-intercept, b = -6, the equation of our line relating x and y is:

y = (-1/3)x - 6

So answer is y = (-1/3)x - 6

Answer:

AFM = 140

LFM = 70

Step-by-step explanation:

Here, we are to calculate LFM and AFM

Since AFM was bisected, then LFM + AFL is AFM

and also AFL = LFM

Thus;

11x + 4 = 12x -2

12x-11x = 4 + 2

x = 6

AFM = AFL + LFM = 11x + 4 + 12x-2 = 23x + 2

Substitute x = 6

AFM = 23(6) + 2 = 140

LFM = 11x + 4 = 11(6) + 4 = 66 + 4 = 70

Answer: 5

Step-by-step explanation:

First we should do the first step: 7+2=9, The they lose 4 which then 9-4

which would equal 5

Answer:

7+2-4=?

7+2=9-4=5

Considering the given function, we have that:

a) D(12) = 2600, which means that after 12 hours of driving, the family is 2600 miles from home.

b) D(t) = 2490 when t = 14, which means that the family is 2490 miles from home after 14 hours of driving.

The distance that the family is from home, after t hours of driving, is given by:

D(t) = 3260 - 55t.

Then, after 12 hours, the distance is given by D(12), that is:

D(12) = 3260 - 55 x 12 = 2600.

D(12) = 2600, which means that after 12 hours of driving, the family is 2600 miles from home.

D(t)=2490, hence:

3260 - 55t = 2490

55t = 770

t = 770/55

t = 14

D(t) = 2490 when t = 14, which means that the family is 2490 miles from home after 14 hours of driving.

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The correct answer is D) parameter. A parameter is a measurable quantity that is inherent in the problem and is usually set by external factors. A measurable quantity that is inherent in the problem is called a D) parameter.

A parameter is a measurable and fixed value that characterizes a particular aspect of a problem, while a variable can change during the course of the problem-solving process. Decision variables are the unknowns that you need to find in order to optimize a problem, and uncontrollable variables are factors that cannot be controlled during an experiment or problem-solving process. An algorithm is a step-by-step procedure to solve a problem, and an enumeration variable is not a relevant term in this context. Parameters are used to define the boundaries of a problem and are often used in mathematical models to represent real-world situations. They differ from variables, which can change and are often used to represent unknowns in a problem, and from uncontrollable variables, which cannot be directly controlled or manipulated by the decision-maker.

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Answer:

5 1/2 cups

Step-by-step explanation:

1 pint = 2 cups

(2 1/2)(2) = 5

5 + 1/2 = 5 1/2

The required inequality to show how many refrigerators and how many pianos the truck could carry is  300x + 425y ≤ 7300.

The idea of inequality, which is the state of not being equal, especially in terms of status, rights, and opportunities1, is at the core of social justice theories. However, because it frequently has diverse meanings to different people, it is prone to misunderstanding in public discourse.

We have,

A truck that can carry no more than 7300 lb is being used to transport refrigerators and upright pianos.

Let x be the number of refrigerators in the truck and y be the number of pianos in the truck.

Then

300x + 425y = 7300

At x = 11 and y = 9

300(11) + 425(9)

= 7125 ib

So, the truck will not overload.

Inequality will we

300x + 425y ≤ 7300

Thus, required inequality is 300x + 425y ≤ 7300.

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The probability that all three sophomores will be chosen in the starting lineup is approximately 0.0455, or 4.55%.

To calculate the probability that all three sophomores will be chosen in the starting lineup, we need to determine the total number of possible lineups and the number of lineups where all three sophomores are selected.

The total number of possible lineups can be found using the concept of combinations. We want to select 5 players from a group of 12 players (2 freshmen, 3 sophomores, 4 juniors, and 3 seniors). Therefore, the total number of possible lineups is given by:

Total number of lineups = C(12, 5) = 792

Next, we need to determine the number of lineups where all three sophomores are chosen. Since there are 3 sophomores in the team, we need to select 3 players from the group of sophomores and 2 players from the remaining pool of players (freshmen, juniors, and seniors). The number of such lineups is given by:

Number of lineups with all three sophomores = C(3, 3) * C(9, 2) = 1 * 36 = 36

Finally, we can calculate the probability by dividing the number of lineups with all three sophomores by the total number of possible lineups:

Probability of all three sophomores being chosen = Number of lineups with all three sophomores / Total number of lineups = 36 / 792 ≈ 0.0455

Therefore, the probability that all three sophomores will be chosen in the starting lineup is approximately 0.0455, or 4.55%.

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Answer:

Annalise is correct because the outputs are closest when x = 1.35

Step-by-step explanation:

The solution to the equation 1/(x-1) = x² + 1 means the one x value that will make both sides equal. If we look at the table, notice how when x = 1.35, f(x) values are closest to each other for both equations, signifying that x = 1.35 is approximately the solution. Thus, Annalise is correct.

The two results are (3,4,5) and (3,4,5 - 3) respectively

The 3x3 matrix, e, that multiplies (x, y, z) to give (x, y, z x ) is:

[1  x  0]

[0  y  0]

[0  0  z]

The 3x3 matrix, e, that multiplies (x, y, z) to give (x, y, z - x) is:

[1  -x  0]

[0   y  0]

[0   0  z]

, the two results are (3,4,5) and (3,4,5 - 3) respectively.

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The 90% confidence interval for the BMI of all preschoolers is option (d)  (15.49, 17.11)

To calculate the 90% confidence interval for the BMI of all preschoolers, we can use the formula

CI = X ± Z × (σ / sqrt(n))

where X is the sample mean, σ is the sample standard deviation, n is the sample size, and Z is the z-score corresponding to the desired confidence level (in this case, 90%).

We can find the value of Z using a standard normal distribution table or calculator, which gives us a value of 1.645.

Plugging in the values from the problem, we get

CI = 16.3 ± 1.645 × (1.4 / sqrt(10))

CI = 16.3 ± 0.90

So the 90% confidence interval for the BMI of all preschoolers is (15.49, 17.11).

Therefore, the correct option is (d) (15.49, 17.11)

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The whole statement says that "for all people x and y who are not Ralph, x trusts y".

Let F(x, y) be the statement x trusts y, where the domain of discourse for both x and y is all people, nobody trusts Ralph.

The logic symbolization of the given statement is:

∀x ∀y [(x ≠ Ralph ∧ y ≠ Ralph ∧ x ≠ y) → F(x, y)]

Here, the universal quantifier ∀ means "for all".

So, ∀x means "for all people x" and ∀y means "for all people y".

The symbol → means "implies" or "if-then".

The statement (x ≠ Ralph ∧ y ≠ Ralph ∧ x ≠ y) means "x is not Ralph, y is not Ralph, and x is not equal to y".

So, the whole statement says that "for all people x and y who are not Ralph, x trusts y".

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Descriptive statistics is a branch of statistics that deals with the collection, analysis, interpretation, and presentation of data. It focuses on summarizing and describing the characteristics of a sample or population. The purpose of descriptive statistics is to provide a clear and concise summary of the data, including measures of central tendency, variability, and distribution.

True,This information can be used to make inferences about the population as a whole. Therefore, descriptive statistics helps statisticians to better understand and interpret the population data.

False, Descriptive statistics is a branch of statistics that focuses on summarizing and organizing data from a sample or population. It provides insights into the basic features of the data, such as the mean, median, and standard deviation, but does not make inferences about the population.

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The length of BD in the triangle is 24 units.

The triangles are similar by angle bisector theorem. The angle bisector theorem states that the angle bisector of an angle of a triangle divides the opposite side into two parts that are proportional to the other two sides of the triangle.

Therefore, let's find BD.

Hence, using the proportion,

12  / 20 = x / x + 6

cross multiply

12(x + 6) = 20x

12x + 72 = 20x

72 = 20x - 12x

72 = 8x

divide both sides by 8

x = 72  /8

x = 9

Therefore,

BD = x + x + 6 = 2x + 6

BD = 2(9) + 6

BD = 18 + 6

BD = 24 units

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Answer:

Its J

Step-by-step explanation:

to flip over the X-axis you multiply all the y values by -1 then subtract 2 from the Y values to translate it down

Answer:

(9,-3)

Step-by-step explanation:

The life expectancy will reach 75 years old in the year 1970.

We have,

Let's start by defining the variables:

L = life expectancy in years

t = time in years since 1900

We know that from 1900 to 1960, life expectancy increased at a constant rate of 0.401 years per year.

So, we can write the following equation to represent the relationship between L and t:

L = 0.401t + b

where b is the life expectancy in 1900.

To find b, we can use the fact that the life expectancy in 1900 was around 47 years old.

b = 47

So, the equation becomes:

L = 0.401t + 47

We also know that in 1942, the life expectancy was 62.9 years old.

So, we can use this information to find the value of t in 1942:

62.9 = 0.401t + 47

Solving for t, we get:

t = (62.9 - 47) / 0.401 = 39.15

In 1942,

t = 39.15.

To find the year when the life expectancy reaches 75 years old, we can plug in L = 75 into the equation and solve for t:

75 = 0.401t + 47

Solving for t.

t = (75 - 47) / 0.401 = 69.82

So, the life expectancy will reach 75 years old in the year:

1900 + 69.82 = 1969.82

Therefore,

The life expectancy will reach 75 years old in the year 1970.

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The expression for the power delivered to a resistance in terms of csc^2 2 pi ft is P = I^2_0 R (csc^2 2 pi ft).

According to the given information, the power delivered to a resistance R when an alternating current of frequency f and peak current I_0 passes through it is represented by the equation P = I^2_0 R sin^2 2 pi ft.

To express this equation in terms of csc^2 2 pi ft, we can use the trigonometric identity csc^2 x = 1/sin^2 x. Substituting this identity into the equation, we get P = I^2_0 R (1/sin^2 2 pi ft).

Since csc^2 x is the reciprocal of sin^2 x, we can rewrite the equation as P = I^2_0 R (csc^2 2 pi ft). This expression represents the power delivered to the resistance in terms of csc^2 2 pi ft.

Therefore, the correct expression for the power delivered to the resistance in terms of csc^2 2 pi ft is P = I^2_0 R (csc^2 2 pi ft).

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Let's go through each answer.

A.

Answer: The amount left over was 4.05 L.

Estimation: 3.15 + 4.75 is about 7.

7 L – 4 L = 3 L

The amount left over was about 3 L.

This is incorrect because 3.15+4.75 is closer to 8 than 7.

B.

Answer: The amount left over was 3.95 L.

Estimation: 3.15 + 4.75 is about 8.

8 L – 4 L = 4 L

The amount left over was a little less than 4 L.

This is correct because 3.15+4.75 is close to 8 and to find the amount left over you do have to subtract.

The correct answer is B.

Answer: The amount left over was 3.95 L.

Estimation: 3.15 + 4.75 is about 8.

8 L – 4 L = 4 L

The amount left over was a little less than 4 L.

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x + y ≤ -4 and 3x + 2y ≤ -5

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Explanation:

The given point has coordinates of x = 3 and y = -7.

Let's plug those coordinates into the first inequality of choice A.

x+y < -4

3 + (-7) < -4

-4 < -4

The last statement is false. A number cannot be smaller than itself.

Since the last inequality is false, it causes the first to be false for those x,y values. Therefore, we rule out choice A.

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We'll do the same idea for the first inequality in choice B

x + y ≤ -4

3 + (-7) ≤ -4

-4 ≤ -4

This time we get a true statement at the end. The key difference is the "or equal to" portion.

Let's check the other inequality of choice B

3x + 2y < -5

3(3) + 2(-7) < -5

9 - 14 < -5

-5 < -5

We run into a similar issue as we did with choice A. We have no choice but to cross choice B off the list as well.

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Choice C is eliminated for the same reason choice A was.

Choice D is the final answer because both inequalities involve "or equal to". So the -5 < -5 is now -5  ≤ -5 which is true.

It turns out that (3, -7) is on the boundary of each shaded region. It's at the intersection of the two boundary lines x+y = -4 and 3x+2y = -5.

D. x + y ≤ -4

3x + 2y ≤ -5

To see if (3, -7) satisfies both inequalities.

x + y ≤ -4:

Substitute x = 3 and y = -7 into the first inequality:

3 + (-7) ≤ -4

-4 ≤ -4

Since -4 is less than or equal to -4, the first inequality is true for the point (3, -7).

3x + 2y ≤ -5:

Substitute x = 3 and y = -7 into the second inequality:

3(3) + 2(-7) ≤ -5

9 - 14 ≤ -5

-5 ≤ -5

Since -5 is equal to -5, the second inequality is also true for the point (3, -7).

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