20 POINTS!!DUE FRIDAY NEED HELP NOW!!!!!!!!
Use this information to answer questions 3, 2, and 5. Other than (1, 0), (0, 1), (-1, 0), and (0, -1), the coordinates used in the previous question involved approximations. The point (0.8, 0.6), however, lies exactly on the unit circle.
What relationships or patterns do you notice in the coordinates?
3. Explain why this must be true.
5. What are the approximate angle measures needed to intersect at (0.8, 0.6) and each of these new points?
4. List all other points on the unit circle that also like exactly at the intersection of two grid lines.
Answers
The evaluation of the coordinates points on the unit circle can be presented as follows;
3. The point (0.8, 0.6), satisfies the equation, 0.8² + 0.6² = 1
4. The other points are; (0.6, 0.8), (-0.6, 0.8), (0.6, -0.8), (-0.6, -0.8)
5. The approximate angle needed to intersect at (0.8, 0.6) are;
Angle of rotation from (1, 0) ≈ 36.9°
Angle of rotation from (0, 1) ≈ 53.13°
Angle of rotation from (-1, 0) ≈ 143.13°
Angle of rotation from (0, -1) ≈ 126.9°
What is a unit circle?The unit circle can be defined as a circle with a radial length of 1 unit and with the center located at the origin
3. A point (x, y) is located on the unit circle if we get; x² + y² = 1
The coordinates of the specified point is; (0.8, 0.6), therefore;
x = 0.8, y = 0.9
0.8² + 0.6² = 0.64 + 0.36 = 1Therefore, it must be true that the point (0.8, 0.6), is a point on the unit circle.
5. The approximate angle (of rotation) needed to intersect at (0.8, 0.6) and each of the points (1, 0), (0, 1), (-1, 0), and (0, -1) are;
Angle of rotation from (at the origin) from (1, 0) to (0.8, 0.6) = arctan((0.6 - 0)/(0.8 - 0)) ≈ 36.9°Angle of rotation from (at the origin) from (0, 1) to (0.8, 0.6) = arctan((0.8 - 0)/(0.6 - 0)) ≈ 53.13° (clockwise)Angle of rotation from (at the origin) from (-1, 0) to (0.8, 0.6) = 90° arctan((0.8 - 0)/(0.6 - 0)) ≈ 143.13°Angle of rotation from (at the origin) from (0, -1) to (0.8, 0.6) = 90° + arctan((0.6 - 0)/(0.8 - 0)) ≈ 126.9°4. The other points on the unit circle that are on the intersection of the two grid lines are; (0.6, 0.8), (-0.6, -0.8), (-0.6, 0.8), (0.6, -0.8)
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Related Questions
The following information should be taken into consideration to answer this item: If the scores of 400 subjects in a psychological scale have been distributed normally with the mean score of 100 and standard deviation of 15: The Z score that equivalent to the raw score 92.5 is.... A.+ 0.5 B. -1.25 C.-0.5 D.-0.25
Answers
The Z score that is equivalent to the raw score 92.5 is B. -1.25.
A Z score represents the number of standard deviations a raw score is from the mean in a normal distribution. To calculate the Z score, we use the formula: Z = (X - μ) / σ, where X is the raw score, μ is the mean, and σ is the standard deviation.
Given that the mean score is 100 and the standard deviation is 15, we can calculate the Z score for the raw score 92.5 as follows:
Z = (92.5 - 100) / 15
Z = -7.5 / 15
Z = -0.5
Therefore, the Z score that is equivalent to the raw score 92.5 is -0.5.
The Z score is a useful measure in statistics that allows us to standardize and compare data points across different distributions. It helps us understand the relative position of a data point within a distribution and determine how unusual or typical that data point is compared to others. By calculating the Z score, we can easily determine the percentage of data points that fall below or above a particular value in a normal distribution, which aids in making statistical inferences and drawing conclusions.
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Rearrange 3x - 6y = -2 to the form y=mx + c
Answers
3x - 6y = -2
-6y = -3x - 2, divide through by -1
6y = 3x + 2, divide through by 6
y = 3x/6 + 2/6
y = x/2 + 1/3
Answer:
y = 1/2x - 1/3
Step-by-step explanation:
subtract 3x from each side first to get:
-6y = -3x - 2
divide each side by -6 to get:
y = 3/6x - 2/6
simplify:
y = 1/2x + 1/3
Integrate these integrals. a) ∫ x²/ x+3 dx
Answers
To integrate the given integral ∫(x²/(x+3)) dx, we apply the method of partial fractions. The resulting integration involves logarithmic and polynomial terms.
We start by applying partial fractions to the given integral. We express the integrand, x²/(x+3), as a sum of two fractions, A/(x+3) and Bx/(x+3), where A and B are constants. The common denominator is (x+3), and we can rewrite the integrand as (A + Bx)/(x+3).
To find the values of A and B, we equate the numerators: x² = (A + Bx). Expanding this equation, we get Ax + Bx² = x². By comparing coefficients, we find A = 3 and B = -1.
Substituting the values of A and B back into the original integral, we have ∫((3/(x+3)) - (x/(x+3))) dx. This simplifies to ∫(3/(x+3)) dx - ∫(x/(x+3)) dx.
The first integral, ∫(3/(x+3)) dx, can be evaluated as 3ln|x+3| + C₁, where C₁ is the constant of integration.
The second integral, ∫(x/(x+3)) dx, requires a u-substitution. We let u = x+3, which implies du = dx. Substituting these values, we have ∫((u-3)/(u)) du. Simplifying this expression gives us ∫(1 - 3/u) du. Integrating, we obtain u - 3ln|u| + C₂, where C₂ is another constant of integration.
Combining the results, the final answer is 3ln|x+3| - x + 3ln|x+3| + C, where C = C₁ + C₂ is the overall constant of integration.
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What is the base of the expression 1113?
3
11
12
21
Answers
Answer:
7
Step-by-step explanation:
I just guessed 7 and believe me its right
Identify the characters of series below. nvž enn |||-) En=12 100 1-) Σπίο 3* 2"-1 ||-) En=2 n A) I Convergent, II Divergent, III Convergent B) I Convergent, Il Convergent, III Divergent C) I Convergent, II Convergent, III Convergent D) I Divergent, Il Divergent, III Divergent E) I Divergent, II Divergent, III Convergent
Answers
Based on the information, we can determine convergence or divergence of series.The given options do not provide a clear representation of potential outcomes.It is not possible to select correct option.
The given series is "nvž enn |||-) En=12 100 1-) Σπίο 3* 2"-1 ||-) En=2 n". In the series, we have the characters "nvž enn |||-)" which indicate the series notation. The characters "En=12 100 1-" suggest that there is a summation of terms starting from n = 12, with 100 as the first term and a common difference of 1. The characters "Σπίο 3* 2"-1 ||-) En=2 n" indicate another summation, starting from n = 2, with a pattern involving the operation of multiplying the previous term by 3 and subtracting 1.
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Plz help. Will give brainliest for the best answer
Answers
Answer:
17.3
Step-by-step explanation:
You use sine and use SOH of SOHCAHTOA. Plug in sin(25)=o/41. Do sin(25) times 41 to find o. Hope this helps.
a political candidate has asked you to conduct a poll to determine what percentage of people support her. if the candidate only wants a 2% margin of error at a 90% confidence level, what size of sample is needed?
Answers
Size of sample needed to determine the percentage of people with give margin of error is equal to 1691.
As given in the question,
Margin of error = 2%
= 0.02
Sample proportion 'p' = 0.5
⇒ (1 - p) = 1 - 0.5
= 0.5
Let 'n' represents the sample size
Z- value at confidence interval 90% = 1.645
Formula used
Margin of error = z-value √ [p( 1-p)/n]
Substitute the value we get,
0.02 = 1.645 √ (0.5)(0.5)/n
Squaring on both the side
0.0004 = 2.706025 ( 0.25/n)
⇒ n = ( 2.706025 × 0.25 )/ 0.0004
⇒ n = 1691.26
⇒ n ≈ 1691
Therefore, size of sample needed with given margin of error is equal to 1691.
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what should a good residual plot look like if the regression line fits the data well?
Answers
A good residual plot should have the points randomly scattered around the horizontal line with no discernible pattern.
This indicates that the model is well fit to the data. The residuals should also be equally distributed on either side of the horizontal line. This can be seen as the sum of the residuals being equal to 0, or mathematically expressed as the sum of the residuals (e) being equal to 0, where \(e = y - ŷ\), where y is the observed value and ŷ is the predicted value. The equation can be expressed as Σe=0.
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b Identify the coefficient and the number of terms in the
following expression.
15x2 + 8
A.) Coefficient: x, number of terms: 1
B.) Coefficient: 2, number of terms: 2
C.) Coefficient: 8, number of terms: 1
D.) Coefficient: 15, number of terms: 2
Answers
Six times a number is 14 less than the opposite of that number. What is the number?
Answers
Answer:
2
Step-by-step explanation:
6 x 2 = 12
12 is less than 14
Question :
Six times a number is 14 less than the opposite of that number. What is the number?Solution :
Let's assume the number as " x "
According to the question :
Six times a number is 14 less than the opposite of that number.We already assumed that the number is x. So, opposite of the number would be -x.
\(\qquad \sf \: { \dashrightarrow 6x= - x-14}
\)
Now, let's solve this equation :
\(\qquad \sf \: { \dashrightarrow 6x + x= -14}
\)
Combining the like terms :
\(\qquad \sf \: { \dashrightarrow 7x = - 14}
\)
Then divide both sides by 7 :
\(\qquad \sf \: { \dashrightarrow \dfrac{7x}{7} = - \dfrac{14}{7} }
\)
\(\qquad \sf \therefore \: \bf{{ x= -2}}
\)
Therefore, the required number is -2 .
shaunta is developing a recursive formula to represent an arithmetic sequence in which 5 is added to each term to determine each successive term. which formula could represent her sequence? f(n 1)
Answers
The recursive formula f(n+1) = f(n) + 5, you can find any term in the sequence by starting with the initial term and adding 5 repeatedly.
To represent the given arithmetic sequence where 5 is added to each term to determine each successive term, the recursive formula can be expressed as: f(n+1) = f(n) + 5
In this formula, f(n+1) represents the next term in the sequence, while f(n) represents the current term. By adding 5 to each term, we can generate the next term in the sequence.
For example, let's assume the first term of the sequence is f(1) = a. Then, the second term would be f(2) = a + 5. The third term would be f(3) = (a + 5) + 5 = a + 10, and so on.
By using the recursive formula f(n+1) = f(n) + 5, you can find any term in the sequence by starting with the initial term and adding 5 repeatedly.
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11) A hoodie costs $39.00 and is on sale (discounted) for 35% off. How
much do you pay for the hoodie?*
Please help it due at 9:00
Answers
Answer:
$25.44
Step-by-step explanation:
35% of $39 is $13.65
$39-$13.65=$25.44
What is the volume?
Bernice made a rectangle wooden toolbox that has a base of 50 square cm and a height of 15 cm.
Answers
Answer:
750 cm^3
Step-by-step explanation:
VOLUME = base * height = 50 cm^2 x 15 cm = 750 cm^3
the median of the ordered set of observations 2,3, (4m-3), (3m + 1), 11 and 13 in asending order is 6. Find the value of m.
Answers
The value of [m] will be 2.
What is mean, median and mode?The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set. The median is the middle value when a data set is ordered from least to greatest. The mode is the number that occurs most often in a data set.Given is the median of the ordered set of observations 2, 3, (4m-3), (3m + 1), 11 and 13 in ascending order is 6.
We have the following data as -
2, 3, (4m-3), (3m + 1), 11, 13
N = 6
So median will be -
{(4m - 3) + (3m + 1)}/2 = 6
(4m - 3) + (3m + 1) = 12
4m + 3m - 3 + 1 = 12
7m - 2 = 12
m = 2
Therefore, the value of [m] will be 2.
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a bin contains 21 balls, numbered 1 through 21. how many ways are there to pick a set of six balls from the bin in which at least one ball has an odd number?
Answers
To find the number of ways to pick a set of six balls from the bin in which at least one ball has an odd number, we can use the principle of inclusion-exclusion.
First, we find the total number of ways to pick a set of six balls from the bin, which is 21 choose 6 (written as C(21,6)) = 54264.
Next, we find the number of ways to pick a set of six balls from the bin in which all the balls have even numbers. There are only 10 even-numbered balls in the bin, so the number of ways to pick a set of six even-numbered balls is 10 choose 6 (written as C(10,6)) = 210.
Therefore, the number of ways to pick a set of six balls from the bin in which at least one ball has an odd number is:
C(21,6) - C(10,6) = 54264 - 210 = 54054.
So there are 54054 ways to pick a set of six balls from the bin in which at least one ball has an odd number.e
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What percent is represented by the shaded area?
Answers
because 6 out of the 20 squares are shaded so it would be 6/20 which would equal .30 or 30%
Which of the following undergoes controlled chain reaction in a nuclear reactor?
A. Th-232
B. Pb-208
C. Ba-141
D. U-235
Answers
Answer:
the answer is option D. Uranium - 235
Cyril is addressing 200 invitations to a reunion. He completes 20% of the invitations on Wednesday and 40% of the invitations on Thursday. Cyril says he has addressed 60 invitations. Why is Cyril’s statement not reasonable? Explain your reasoning.
Answers
Cyril's statement that he addressed 60 invitations is not reasonable and does not match the actual number of invitations he addressed.
Cyril's statement is not reasonable because if he addressed 20% of the invitations on Wednesday and 40% of the invitations on Thursday, he would have addressed a total of 60% of the invitations by the end of Thursday, not just 60 invitations. To calculate the total number of invitations Cyril addressed, we can use the formula:
Total invitations addressed = (20% of 200) + (40% of 200)
Total invitations addressed = (0.20 x 200) + (0.40 x 200)
Total invitations addressed = 40 + 80
Total invitations addressed = 120
Therefore, Cyril's statement that he addressed 60 invitations is not reasonable and does not match the actual number of invitations he addressed.
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Marie can find the volume of a cube by using the formula V=s exponent 3 where s repersents the side length of the cube if marie's cube has a side length of 2-1/2 centimerters what is the volume of her cube? WRITE AS A FRACTION
Answers
Answer:
125 / 8 centimeters
Step-by-step explanation:
Given:
V = s³
Where,
V = volume of the cube
s = side length of the cube
if marie's cube has a side length of 2 1/2 centimerters
That is,
s = 2 1/2 cm
V = s³
= (2 1/2)³
= (5/2)³
= 125 / 8 centimeters
NOTE:
(5/2)³ = 5³ / 2³
= 5*5*5 / 2*2*2
= 125 / 8
How can you tell that 5/8 is a terminating decimal but 5/9 is a repeating decimal?
Answers
look at my glorious answer mah boi
The area of a triangle is 2. Two of the side lengths are 6.6 and 1.1 and the
included angle is acute. Find the measure of the included angle, to the nearest
tenth of a degree.
Answers
Answer: 51.5 degrees
Step-by-step explanation:
The measure of the included angle is about 51.5 degrees. To find this, we can use the law of sines, which states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all three sides of the triangle. So, we can set up an equation using the information given: (area)/(0.5*(1.1)(6.6)) = (sin(x)) where x is the included angle. We know that area is 2, so we can put it in the equation: (2)/(0.5(1.1)(6.6)) = (sin(x)) .
Then using sin(x) = 2/(0.5(1.1)*(6.6)) , we can use a calculator to find the sin(x) = 0.094.
and then using a calculator, we can find that x = sin^-1 (0.094) ≈ 5.2 radians. To convert it to degrees, we can multiply it by 180/π ≈ 57.3. So the measure of the included angle is about 57.3 degrees. To the nearest tenth of a degree, it is 57.3, but it can also be rounded off to 51.5 degrees.
Solve 3/4≤1/2+n. Graph the solution.
Answers
Answer:
n ≥ 1/4
Step-by-step explanation:
'n' consists of all values greater than, including, 1/4
Mr. Hedges was tired one night and wrote the (awful, terrible, & atrocious) work below. Identify
his error and correct the mistake:
(Look in the picture)
Answers
Answer:
See below
Step-by-step explanation:
Mr. Hedges added the denominators together when he shouldn't have.
-12/14 + -7/14 DOES NOT EQUAL -19/28, you can't add denominators in fractions. Instead, they stay the same, while the numerators are added together.
The correct answer should be -19/14, by leaving the denominator alone and adding the numerators.
Hope this helps!
In which of the following cases is the construction of triangle ABC possible?
Answers
Triangle with sides AB = 8cm , CA = 5cm , BC = 7cm and AB = 7cm , BC = 10cm , CA = 8cm can construct a Triangle.
What are cases for construction of triangle?Condition : For forming the triangle, the sum of two sides must be greater than the third side.
a. AB = 4cm, CA = 3cm, BC = 10cm
CA+BC=AB
3+1=4
4=4
Therefore, it cannot form a triangle because it is not satisfying the condition.
b. AB = 8cm , CA = 5cm , BC = 7cm
AB+CA>BC
AB+BC>CA
CA+BC>AB
Therefore, it can form a triangle because it satisfies the condition.
c. AB = 7cm, BC = 10cm, CA = 8cm
AB+BC>CA
AB+CA>BC
BC+BC>AB
Therefore, it can form triangle because it satisfies the condition.
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E) Si una mujer en Suiza gana 1300 francos, ¿cuánto gana un hombre en el mismo puesto y con la misma categoría profesional? f) Un hombre, por término medio, gana en España un sueldo mensual de 1102 euros netos. ¿Cuánto ganaría si fuese mujer?
Answers
Answer:
Para responder esta pregunta, necesitamos utilizar el gráfico que se ve en la imagen de abajo.
En dicho gráfico, se presenta el porcentaje que gana, en promedio, una mujer comparado con lo que ganaría un hombre en el mismo puesto.
a) Si una mujer en Suiza gana 1300 francos, ¿cuánto gana un hombre en el mismo puesto y con la misma categoría profesional?
Viendo el gráfico, podemos ver que en Suiza una mujer gana el 68% de lo que gana un hombre.
Entonces, si un hombre gana una cantidad X, tendremos:
X = 100%
y la mujer gana 1300 francos, que es el 68%, entonces podemos escribir:
X = 100%
1300 francos = 68%
Ahora podemos tomar el cociente entre esas dos ecuaciones, para así obtener:
X/(1300 francos) = (100%/68%)
Ahora podemos resolver esto para X:
X = (100%/68%)*(1300 francos) = 1911.76 francos.
Un hombre en la misma posición ganaría 1911.76 francos.
b) Un hombre, por término medio, gana en España un sueldo mensual de 1102 euros netos. ¿Cuánto ganaría si fuese mujer?
Viendo el gráfico, podemos ver que una mujer en España gana el 67% de lo que ganaría un hombre en la misma posición.
El sueldo del hombre es 1102 euros, y en este caso, esto es el 100%, entonces:
1102 euros = 100%
Y sea X el sueldo de la mujer, el cual sabemos que representa el 67%, entonces escribimos:
X = 67%
Así, tenemos dos ecuaciones:
X = 67%
1102 euros = 100%
Tomando el cociente, obtenemos:
X/(1102 euros) = (67%/100%)
Resolviendo para X obtenemos:
X = (67%/100%)*(1102 euros) = 738.34 euros
Una mujer en la misma posición ganaría 738.34 euros.
X + 9 = X - 9
One Solution
Infinitely many
solutions
No Solutions
Please help
Answers
Answer:
no solution
Step-by-step explanation:
It's no solution because the first step to do is to subtract 9 from both sides which would give you x=x-18 but now your stuck here because if you subtract x from both sides then you wont have an x so this equation has no solution
Answer:
No solution
Step-by-step explanation:
Find the distance from the point (2,4,1) to the line x=1+2 t, y=-t and z=3 .
Answers
The distance from the point (2, 4, 1) to the line x = 1 + 2t, y = -t, z = 3 is approximately 9.05 units.
To find the distance from a point to a line in three-dimensional space, we can use the formula:
d = |(P0 - P1) x (P0 - P2)| / |P2 - P1|,
where P0 is the given point and P1 and P2 are two points on the line.
Given the line equations:
x = 1 + 2t,
y = -t,
z = 3,
we can choose two points on the line.
Let's take t = 0 and t = 1.
For t = 0:
P1 = (1 + 2(0), -(0), 3) = (1, 0, 3).
For t = 1:
P2 = (1 + 2(1), -(1), 3) = (3, -1, 3).
Now we have P0 = (2, 4, 1), P1 = (1, 0, 3), and P2 = (3, -1, 3).
Let's calculate the distance using the formula:
d = |(P0 - P1) x (P0 - P2)| / |P2 - P1|.
Calculate P0 - P1:
P0 - P1 = (2 - 1, 4 - 0, 1 - 3) = (1, 4, -2).
Calculate P0 - P2:
P0 - P2 = (2 - 3, 4 - (-1), 1 - 3) = (-1, 5, -2).
Calculate the cross product (P0 - P1) x (P0 - P2):
(P0 - P1) x (P0 - P2) = (4 \(\times\) (-2) - 5 \(\times\) (-2), (-1) \(\times\) (-2) - (-1) \(\times\) (-1), 1 \(\times\) 5 - 1 \(\times\) 4)
= (-8 - 10, 2 - 1, 5 - 4)
= (-18, 1, 1).
Calculate the magnitude of (P2 - P1):
|P2 - P1| = \(\sqrt{((3 - 1)^2 + ((-1) - 0)^2 + (3 - 3)^2)}\)
= \(\sqrt{(4 + 1 + 0)}\)
= \(\sqrt{(5).}\)
Calculate the distance:
d = |(P0 - P1) x (P0 - P2)| / |P2 - P1|
= |(-18, 1, 1)| / sqrt(5)
\(= \sqrt{((-18)^2 + 1^2 + 1^2)} / \sqrt{(5)}\)
\(= \sqrt{(324 + 1 + 1)} / \sqrt{(5)}\)
\(= \sqrt{(326) } / \sqrt{(5)}\)
\(= \sqrt{(326/5)}\)
≈ 9.05.
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What innovation was made possible in part because of the Carterfone decision in 1968? Select one a. COBOL b. radiospectrum allocation c. the public Internet d. SMS
Answers
The innovation that was made possible in part because of the Carterfone decision in 1968 is the public Internet. The correct answer is option C
The Carterfone decision was a landmark ruling by the Federal Communications Commission (FCC) that allowed for the interconnection of third-party devices to the telephone network. Prior to this decision, telephone companies had a monopoly on the equipment that could be used on their networks, and customers were not allowed to attach their own devices.
This decision paved the way for the development of the public Internet by allowing for the interconnection of third-party devices to the telephone network, which enabled the creation of new technologies, such as modems. Without the Carterfone decision, the public Internet as we know it today may not have been possible.
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Getaway Travel Agency surveyed a random sample of 45 4545 of their clients about their vacation plans. Of the clients surveyed, 21 2121 expected that they would go on 3 33 vacations in the next year. There are 516 516516 Getaway Travel Agency clients. Based on the data, what is the most reasonable estimate for the number of Getaway Travel Agency clients who expect to go on 3 33 vacations in the next year?
Answers
Answer:
241
Step-by-step explanation:
Given the following :
Number of random samples surveyed = 45
Of the random samples surveyed, 21 expected to go on 3 vacations in the next year:
Total number of clients = 516
Percentage of random sample surveyed who intend to go 3 vacations in the next year :
(21 / 45) * 100
0.4666667 * 100 = 46.7%
That is 46.7% of surveyed sample intend to go on 3 vacations in the next year.
Therefore using these to make inference about the number of total client who will go on 3 vacations in the next year:
46.7% of total clients
(46.7 / 100) * 516
= 240.8
= 241 ( to the nearest whole number)
PLS PLS i need step by step please and undefined numbers to be shown please THANK YOU!
Answers
1)The expression 4x^2-16x+12/x^2-9 is undefined when the denominator, x^2-9, equals zero because division by zero is undefined.
x^2-9 equals zero when x equals 3 or x equals -3. Therefore, the expression is undefined at x = 3 and x = -3. In all other cases, the expression is defined.
2) The given expression is:
(5-2x)/(x+2) + x^2/(x^2-4) - 5
To simplify this expression, we need to first find the LCD (least common denominator) of the two fractions. The denominator of the first fraction is x+2, and the denominator of the second fraction is x^2-4, which can be factored as (x+2)(x-2). So the LCD is (x+2)(x-2). Now we can rewrite the expression with this common denominator:
[(5-2x)(x-2) + x^2(x+2) - 5(x+2)(x-2)] / [(x+2)(x-2)]
Expanding the brackets and simplifying, we get:
(-x^3 - 3x^2 - 3x + 5) / [(x+2)(x-2)]
This expression is undefined when the denominator, (x+2)(x-2), equals zero because division by zero is undefined.
(x+2)(x-2) equals zero when x equals -2 or x equals 2. Therefore, the expression is undefined at x = -2 and x = 2. In all other cases, the expression is defined.
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