Which of the following options have the same value as 10 % , percent of 33?

As a result, the angles with a common reference angle of 150° in each quadrant are as follows: 210° in the first quadrant, 330° in the second, 30° in the third, and 150° in the fourth (which is equivalent to 510°).

An angle is created by combining a set of beams (half-lines) with the same shared terminal. The angle's vertex is the latter, while the rays are alternately referred to as both the angle's leg and its arms.

By deducting 210° from 360° and obtaining the exact value of the result, one may get the reference angle:

Angle of reference = |360° - 210°| = 150°

We may add or subtract multiples of 360° or 180° as necessary to determine angles in each quadrant with such a common reference angle of 210°.

First Quadrant:

By deducting 150 degrees from 360 degrees, one can find an angle for the first quadrant with such a reference angle of 150 degrees:

θ = 360° - 150° = 210°

Second Quadrant:

An angle in the second quadrant with a reference angle of 150° is found by adding 150° to 180°:

θ = 180° + 150° = 330°

Third Quadrant:

By deducting 150 degrees from 180 degrees, one can find an angle inside the third quadrant using a reference angle of 150 degrees:

θ = 180° - 150° = 30°

Fourth Quadrant:

Addition of 150 degrees to 360 degrees yields an angle inside the fourth quadrant with such a reference angle of 150 degrees:

θ = 360° + 150° = 510°

However, since we are looking for angles within the range of 0° to 360°, we can subtract 360° from the angle in the fourth quadrant to get an equivalent angle in the first quadrant:

θ = 510° - 360° = 150°

With such a common reference angle of 150°, the angles in each quadrant are as follows:

210° in the first quadrant

330° in the second quadrant

30° in the third quadrant

150° in the fourth quadrant (which is equivalent to 510°

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From the resulting solution, the correct linear inequality graph is Graph C.

Given the inequality equation below:

2(2x-1)+7< 13 or -2x+5 ≤ -10.​

Simplify the expression

2(2x-1)+7< 13

Expand

4x - 2 + 7 < 13

4x + 5 < 13

4x < 13 - 5

4x < 8

x < 2

For the inequality -2x+5 ≤ -10.

-2x+5 ≤ -10

-2x  ≤ -15

x  ≥ 7.5

Hence the solution to the given system of inequalities are x < 2 and x  ≥ 7.5

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The completed sequence is: 3/k, 3/k, 3/k, 9/2k.To complete the sequence of numbers with a constant difference between adjacent numbers, we can calculate the common difference by subtracting the first term from the second term.

Let's denote the missing terms as A and B.

The given sequence is: 3/k, A, B, 9/2k.

The common difference can be found by subtracting 3/k from A or B. Therefore:

A - 3/k = B - A = 9/2k - B.

To simplify, we can equate the two expressions for the                     common difference:

A - 3/k = 9/2k - B.

Next, we can solve for A and B using this equation.

Adding 3/k to both sides gives:

A = 3/k + 9/2k - B.

Now, we can substitute the value of A into the equation:

3/k + 9/2k - B - 3/k = 9/2k - B.

Simplifying further, we have:

9/2k - 3/k = 9/2k - B.

Cancelling out the common terms, we find:

-3/k = -B.

Multiplying both sides by -1, we get:

3/k = B.

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Answer:

Step-by-step explanation:

Answer:

Desmos could come in handy

-3.

\(\frac{-9*2-(-3-6)}{1-(-2+1)-(-3)}\)

We must change the symbol of all numbers that are inside a parenthesis, whenever the parenthesis has a "-" symbol before it.

\(\frac{-9*2-3+6}{1+2-1+3}\)

\(\frac{-18-3+6}{1+2-1+3}=\\ \\\frac{-15}{5}=\\ \\ -3.\)

9514 1404 393

Answer:

  a.  plane DEA

Step-by-step explanation:

A plane can be named by naming any 3 non-collinear points in the plane, or by using the plane's name as indicated in the drawing.

Here, points in the plane are A, D, E, F, with DEF all on  the same line. So A plus any two points from the line will constitute a name for the plane. Also, this plane is identified with a script M that can be used to name the plane.

M is not an answer choice, but DEA is. So, the appropriate choice is ...

  plane DEA

__

F is a point, not a plane name. C is not on the plane, so cannot be used to name it. 'k' is a line name, not a plane name.

Answer:

(5a+3b)(5a+3b) or SQ(5a+3b)

Step-by-step explanation:

Now you can plot by referring to the above factors

Answer:

-4+(-4.6)

Step-by-step explanation:

Answer:

rational algebraic expression

Answer:

C

Step-by-step explanation:

Answer:

B, C, D and E. A and F are incorrect

Step-by-step explanation:

Answer:

Step-by-step explanation:

The mass of the object that weighs 40 N is 8 kg.

If the weight of an object varies directly with the mass of the object, it means that the weight and the mass are proportional to each other, and the constant of proportionality is the same for all objects. Let's call this constant of proportionality "k".

From the problem, we know that when the mass of an object is 3 kg, its weight is 15 N. Therefore, we can write:

15 N = k * 3 kg

Simplifying this equation, we get:

k = 15 N / 3 kg

k = 5 N/kg

Now, we can use this value of "k" to find the mass of another object that weighs 40 N. Let's call the mass of this object "m".

40 N = k x m

Substituting the value of "k", we get:

40N = 5 N/kg x m

m = 40 N / 5 N/kg

m = 8 kg

Therefore, the mass of the object that weighs 40 N is 8 kg.

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The possible values for the discriminant include the following:

A. -1

D. -18

In Mathematics and Geometry, the x-intercept is the point at which the graph of a function crosses the x-coordinate (x-axis) and the value of "y" or y-value is equal to zero (0).

Since the graph of this quadratic function has no x-intercepts, we can logically deduce that the zeros, roots, or x-intercepts of this quadratic function must be an imaginary number.

Discriminant, D = b² - 4ac

In conclusion, we can reasonably infer and logically deduce that negative numbers such as -1 and -18 are possible values for the discriminant.

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Complete Question:

The graph of a certain quadratic function has no x-intercepts. Which of the following are possible values for the discriminant? Check all that apply.

A. -1

B. 3

C. 0

D. -18

The possible combinations of women to the total number of club members could be:

7 women out of 10 members.

14 women out of 20 members.

21 women out of 30 members.

28 women out of 40 members.

And so on, as long as "x" is a multiple of 10 that is divisible by 7.

The ratio of women to men in the local book club is 7 to 3. This means that for every 7 women, there are 3 men.

To find the possible combinations of women to the total number of club members, we can consider the total number of members as a multiple of 10 (since the ratio is given as 7 to 3). Let's assume the total number of club members is represented by the variable "x."

Based on the given ratio, we can calculate the number of women in terms of "x" by multiplying the ratio of women (7/10) by the total number of members:

Number of women = (7/10) * x

Since we're looking for possible combinations, the number of women must be a whole number. Therefore, "x" must be a multiple of 10 that is divisible by 7.

Let's explore some possible combinations:

If x = 10, the number of women = (7/10) * 10 = 7, which satisfies the ratio.

If x = 20, the number of women = (7/10) * 20 = 14, which satisfies the ratio.

If x = 30, the number of women = (7/10) * 30 = 21, which satisfies the ratio.

If x = 40, the number of women = (7/10) * 40 = 28, which satisfies the ratio.

As you can see, the possible combinations of women to the total number of club members could be:

7 women out of 10 members.

14 women out of 20 members.

21 women out of 30 members.

28 women out of 40 members.

And so on, as long as "x" is a multiple of 10 that is divisible by 7.

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The value of x that makes the line containing (1,2) and (5,3) perpendicular to the line containing (x,4) and (3,0) is x = 2.

To determine the value of x such that the line containing (1,2) and (5,3) is perpendicular to the line containing (x,4) and (3,0), we need to find the slope of both lines and apply the concept of perpendicular lines.

The slope of a line can be found using the formula:

slope = (change in y) / (change in x)

For the line containing (1,2) and (5,3), the slope is:

slope1 = (3 - 2) / (5 - 1) = 1 / 4

To find the slope of the line containing (x,4) and (3,0), we use the same formula:

slope2 = (0 - 4) / (3 - x) = -4 / (3 - x)

Perpendicular lines have slopes that are negative reciprocals of each other. In other words, if the slope of one line is m, then the slope of a line perpendicular to it is -1/m.

So, we can set up the equation:

-1 / (1/4) = -4 / (3 - x)

Simplifying this equation:

-4 = -4 / (3 - x)

To remove the fraction, we can multiply both sides by (3 - x):

-4(3 - x) = -4

Expanding and simplifying:

-12 + 4x = -4

Adding 12 to both sides:

4x = 8

Dividing both sides by 4:

x = 2

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Answer: a) 23+3x < (or equal to) 50

B) x<= 9

Step-by-step explanation:

Answer:

It would be 4.v5

Answer:

Step-by-step explanation:

To solve this problem, we can use the formula for calculating the fixed monthly payment on a mortgage:

P = (r * PV) / (1 - (1 + r)^(-n))

where:

P = fixed monthly payment

r = monthly interest rate (annual interest rate divided by 12)

PV = present value of the loan (loan amount)

n = total number of payments (number of years multiplied by 12)

Using the given values:

r = 0.0735 / 12 = 0.006125

PV = R150,000

n = 20 x 12 = 240

Then we can calculate the monthly payment:

P = (0.006125 * 150000) / (1 - (1 + 0.006125)^(-240)) = R1,181.91

This means that Gideon will have to pay R1,181.91 every month for 20 years to repay his loan.

To determine how much of the second payment applies to the principal balance, we need to calculate the interest and principal amounts of the first payment.

For the first payment, the interest can be calculated as:

interest1 = r * PV = 0.006125 * 150000 = R918.75

This means that the first payment consists of R918.75 in interest and the rest, R1,181.91 - R918.75 = R263.16 is principal.

To find out how much of the second payment applies to the principal balance, we need to subtract the interest and add the calculated principal amount from the first payment to the amount of the second payment:

principal2 = (P - interest1) + principal1 = (1181.91 - 918.75) + 263.16 = R525.32

Therefore, R525.32 of the second payment applies to the principal balance.

Answer:

All these rooms are rectangles so to find the

area of the rooms multiply length by width.

Living Room: 5x4 = 20 m^2

Answer:

A: 20m^2

Step-by-step explanation:

a= lw

a= 4(5)

a=20

Answer:

+3

Step-by-step explanation:

Answer:

(x - 3 i) (x + 3 i) (x + 3)

Step-by-step explanation:

The range is greater for the girls and the mean is greater for the girls. So, correct option is B.

A) The statement "The range is greater for the girls" is true. The range is the difference between the highest and the lowest values in a data set.

Looking at the line plots, the highest value for the boys is 10, and the lowest is 3, giving a range of 7 hours. The highest value for the girls is 9, and the lowest is 5, giving a range of 4 hours. Therefore, the range is greater for the boys.

B) The mean is the sum of all values divided by the total number of values. To calculate the mean for the boys, we add up all the hours and divide by 10, which gives us:

(3 + 6 + 7 + 7 + 8 + 8 + 8 + 8 + 9 + 10) / 10 = 7.4 hours

To calculate the mean for the girls, we add up all the hours and divide by 10, which gives us:

(5 + 6 + 6 + 6 + 7 + 7 + 7 + 8 + 8 + 9) / 10 = 7.1 hours

Therefore, the mean for the boys is 7.4 hours and the mean for the girls is 7.1 hours, so the statement "The mean is greater for the girls".

So, correct option is B.

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Answer:

Step-by-step explanation:

The first friend would get $60,000

The second friend would get $15,000

The third friend would get $30,000

According to the information given, we have that:

1. Using the z-distribution, the 95% confidence interval for the population mean installation time, in minutes, is (40.775, 43.225).

2. Using the normal distribution and the central limit theorem, it is found that there is a 0.1075 = 10.75% probability that the installation time will be within the interval computed.

Item 1:

We are given the population standard deviation, which is why the z-distribution is used to solve this question.

The information given is:

The confidence interval is:

\(\overline{x} \pm M\)

The margin of error is given by:

\(M = z\frac{\sigma}{\sqrt{n}}\)

In which:

The first step is finding the critical value, which is z with a p-value of \(\frac{1 + \alpha}{2}\), in which \(\alpha\) is the confidence level.

In this problem, \(\alpha = 0.95\), thus, z with a p-value of \(\frac{1 + 0.95}{2} = 0.975\), which means that it is z = 1.96.

Thus:

\(M = 1.96\frac{5}{\sqrt{64}} = 1.225\)

\(\overline{x} - M = 42 - 1.225 = 40.775\)

\(\overline{x} + M = 42 + 1.225 = 43.225\)

The 95% confidence interval for the population mean installation time, in minutes, is (40.775, 43.225).

Item 2:

First, the normal distribution and the central limit theorem are introduced.

In a normal distribution with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

For this problem, we have that \(\mu = 40, s = \frac{5}{\sqrt{64}} = 0.625\)

The probability is the p-value of Z when X = 43.225 subtracted by the p-value of Z when X = 40.775.

X = 43.225:

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{43.225 - 40}{0.625}\)

\(Z = 5.16\)

\(Z = 5.16\) has a p-value of 1.

X = 40.775:

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{40.775 - 40}{0.625}\)

\(Z = 1.24\)

\(Z = 1.24\) has a p-value of 0.8925.

1 - 0.8925 = 0.1075.

0.1075 = 10.75% probability that the installation time will be within the interval computed.

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Answer:

no

Step-by-step explanation:

you have done your part by helping in their study session,if you help them cheat you will suffer the consequences if he/she is caught,

This is an academic integrity violation because it is against honesty rules, the best would be to offer assistance to your friend.

Academic integrity encompasses principles of honesty, fairness, and trustworthiness in academic pursuits. It generally includes a commitment to originality and independent work. Assisting someone in completing an exam, especially a take-home exam, where individual effort and understanding are expected, would likely violate academic integrity policies.

Handling the situation ethically and responsibly would involve respecting the academic rules and ensuring fairness for all students. Instead of directly completing the exam for your friend, you can offer assistance by explaining concepts, providing guidance on problem-solving approaches, or reviewing their completed work to identify errors or areas for improvement. This way, you can help your friend learn the material and develop their own understanding, without compromising academic integrity.

Encourage your friend to seek additional help from their professor, teaching assistants, or tutoring services provided by the institution. They can also engage in group study sessions or form study groups with classmates, which promote collaborative learning while maintaining individual effort.

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Answer:

The quadratic formula is x= -b±√b²-4ac all over 2a

Step-by-step explanation:

The -b±√b²-4ac is part of the numerator of the fraction. And b²-4ac is all under the radical sign. The denominator is 2a so you divide -b±√b²-4ac by 2a to get the solutions of the quadratic function. Hope this helps!!

Answer: 162%.

Step-by-step explanation:

To find the percentage increase in points, we need to calculate the difference between the two values, divide it by the original value, and then multiply by 100 to get the percentage.

The difference between Patrick's old score and his new score is:

328 - 125 = 203

The percentage increase is:

203/125 x 100% = 162.4%

Rounded to the nearest whole number, the percentage increase is 162%.

The Pythagorean triples here are; 3, 4, 5. Option 1

We define a Pythagorean triple as a^2+b^2 = c^2 where a, b and c are the three positive integers. Given that we can find the Pythagorean triple from; (x2 - y2)2 + (2xy)2 = (x2 + y2)2

Where; x = 2, y = 1

Substituting values have;

(2^2 - 1^2)^2 + (2*2*1)^2 = (2^2 + 1^2)^2

This results to;

3^2 + 4^2 = 5^2

9 + 16 = 25

25=25

Therefore the Pythagorean triples here are; 3, 4, 5. Option 1

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Answer:

23 is the right answer hope it's helps you

The value of x from the given congruent triangles is 23 units.

In the figure ΔABC and ΔDEF are given.

Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.

Consider, ΔABC and ΔDEF, we have

AB=DE (Given)

∠BAC=∠EDF (Given)

AC=DF (Given)

So, ΔABC ≅ ΔDEF

We know that, by CPCT

BC=FE

⇒ x-4=19

⇒ x=23 units

Therefore, the value of x from the given congruent triangles is 23 units.

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