The Title of my performance is: "A Midsummer Night's Dream:
There is Act 3, Scene 2, Lines 1-100 and titled: Love and Confusion" The Performance Script is attached.
What is the summary of a Midsummer Night's Dream:In Act 3, Scene 2 of "A Midsummer Night's Dream," Shakespeare blends humor and a message about love and confusion. Characters include Puck and four lovers: Demetrius, Hermia, Helena, and Lysander.
Humor comes from the love triangle's chaos between Demetrius, Hermia, and Helena, worsened by Puck's interference. Puck's love potion causes Demetrius to love Helena instead of Hermia. Lysander also falls in love with Helena due to the potion. Humor from exaggerated love expressions and misunderstandings among characters.
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6. Kaylee borrows $700 from her dad to buy a new phone.
She has to pay him back in 24 months with a 2% simple
interest rate. How much inter
interest rate. How much interest will she have to pay?
Kaylee will have to pay $28 in interest.
What is simple interest?The interest on a loan or principal sum can be easily calculated using simple interest. Simple interest is a notion that is employed across a wide range of industries, including banking, finance, automobiles, and more.
The interest Kaylee will have to pay is calculated as follows:
Interest = Principal x Rate x Time
where Principal is the amount borrowed, Rate is the interest rate as a decimal, and Time is the time period in years. Since Kaylee has to pay back the loan in 24 months, or 2 years, we can plug in the given values to get:
Interest = 700 x 0.02 x 2 = $28
Therefore, Kaylee will have to pay $28 in interest.
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tori is getting ready to run a marathon. she kept track of the lengths of her last few training runs. training runs (mi.) 11 8 15 16 8 20 16 12 6 13 7 which box plot represents the data?
The box plot would show the distribution of Tori's training runs and provide insights into the Central tendency and variability of the data.
A box plot, also known as a box-and-whisker plot, is a visual representation of the distribution of a dataset. It shows the median, quartiles, and range of the data. The median is the middle value of the dataset, the first quartile is the value that separates the lowest 25% of the data from the rest, and the third quartile is the value that separates the lowest 75% of the data from the rest. The range is the distance between the minimum and maximum values of the data.
To create a box plot for Tori's training runs, you would first order the data from smallest to largest: 6, 7, 8, 8, 11, 12, 13, 15, 16, 16, 20. Then, you would find the median (the middle value), which is 12.5. Next, you would find the first quartile (the value that separates the lowest 25% of the data from the rest), which is 8, and the third quartile (the value that separates the lowest 75% of the data from the rest), which is 16. Finally, you would calculate the range (the distance between the minimum and maximum values), which is 14 (20 - 6).
To draw the box plot, you would draw a rectangle with the bottom edge at the first quartile and the top edge at the third quartile. Inside the rectangle, draw a line at the median. Then, draw whiskers (lines) from the edges of the rectangle to the minimum and maximum values of the data (6 and 20). Any outliers (values that are more than 1.5 times the interquartile range away from the nearest quartile) can be plotted as individual points outside of the whiskers.
Without a visual representation of the data, it is difficult to say which box plot represents the data. However, the box plot would show the distribution of Tori's training runs and provide insights into the central tendency and variability of the data.
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Peter, Bridget and Caroline share some sweets in the ratio 4:3:1. Peter gets 20 sweets. How many sweets are there altogether?
ryan and betty both have 5 children in their family. their ages are ryan: 17, 12, 8, 4, 2 betty: 17, 16, 14, 11, 10 which group of children's ages have the greatest dispersion?
Betty's children have greater age dispersion than Ryan's children. Their ages range from 10 to 17, while Ryan's children range from 2 to 17.
Betty's children have the greatest dispersion. Dispersion refers to the extent to which the values in a set of data are spread out. The difference between the youngest and oldest child in Betty's family is 7 years, while the difference in Ryan's family is 15 years. The greater difference indicates a higher level of dispersion, meaning Betty's children have a greater range of ages and are spread out over a larger range of values than Ryan's children.
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If 18 gallons of gasoline cost $23.31 how much would 12 gallons cost
Answer:
15.60
Step-by-step explanation:
23.31/18=1.30 (for one gallon)
1.30*12=15.60 (for twelve gallons)
Answer:
$15.54
Step-by-step explanation:
Divide $23.31 by 18 to find the cost of 1 gallon, then multiply this by 12.
$23.31 ÷ 18 = $1.295 , then
12 gallons costs = 12 × $1.295 = $15.54
In the ACME rubber ball factory, a stream of rubber balls, each of mass m, comes out of a horizontal tube at a rate of R per second. These balls fall a distance of h into a bucket of mass M suspended by a rope from the ceiling. If the balls bounce out of the bucket back to their original height when leaving the tube, what is the (average) tension T in the massless rope holding the bucket
Therefore, the average force exerted on the bucket per unit time is given by the change in momentum divided by the time interval: Δp / (1/R) = RΔp.
The average tension T in the massless rope holding the bucket is equal to the total force exerted on the bucket due to the falling rubber balls. This force is equal to the change in momentum of the balls per unit time. When a rubber ball falls into the bucket, it experiences a change in momentum due to the gravitational force acting on it.
The change in momentum is given by the product of the mass of the ball (m) and the change in velocity (v), which is equal to the velocity of the ball when it leaves the tube. Since the balls bounce back to their original height, the change in velocity is twice the initial velocity, as the ball reverses its direction. The time interval between successive ball impacts is 1/R.
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Find the discriminant of the following quadratic equation then state the number of rational, irrational, and imaginary solutions.
Equation: −6x2−6=−7x−9
Discriminant: Answer
Solutions:
Answer:
-6x² - 6 = -7x - 9-6x² + 7x - 6 + 9 = 0-6x² + 7x + 3 = 06x² - 7x - 3 = 0Discriminant:
D = (-7)² - 4*6*(-3) = 49 + 72 = 121Since D > 0, there are 2 real solutions:
x = (- (-7) ±√121 )/12x = (7 ± 11)/12x = 1.5, x = -1/3What is the following quotient?6-3(^3√6)/3/9
O 2(3√3)-3√/18
O 2(³√/3)-3(³/2)
O 3(3/3)-3√/18
O 3(³√/3)-3(3√/2)
Applying properties of exponents, the quotient is given as follows:
\(2\sqrt[3]{3} - \sqrt[3]{18}\)
What is the quotient?The expression is given by:
\(\frac{6 - 3\sqrt[3]{6}}{\sqrt[3]{9}}\)
The 3 can be inserted into the cube root, as follows:
\(\frac{6 - 3\sqrt[3]{6}}{\sqrt[3]{9}} = \frac{6 - \sqrt[3]{6 \times 3³}}{\sqrt[3]{9}}\)
Applying the subtraction, we have that the expression is:
\(\frac{6}{\sqrt[3]{9}} - \frac{\sqrt[3]{162}}{\sqrt[3]{9}} = \frac{6}{\sqrt[3]{9}} - \sqrt[3]{\frac{162}{9}} = \frac{6}{\sqrt[3]{9}} - \sqrt[3]{18}\)
The denominator can be simplified as follows:
\(\sqrt[3]{9} = \sqrt[3]{3^2} = 3^{\frac{2}{3}}\)
Then:
\(\frac{6}{\sqrt[3]{9}} = \frac{2 \times 3}{3^{\frac{2}{3}}} = 2 \times 3^{1 - \frac{2}{3}} = 2 \times 3^{\frac{1}{3}} = 2\sqrt[3]{3}\)
Hence the quotient is given by:
\(2\sqrt[3]{3} - \sqrt[3]{18}\)
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A time traveler can take 3 books with him, and he has 57 books to choose from. How many different ways can the books be selected?
The time traveler can choose 3 books with him, but he can only take 57.
So in this case the order doesn't matter, therefore, we are going to use a combination:
Use the combination formula:
\(C\text{ =}\frac{n!}{r!(n-r)!}\)When n is the total of books and r the sample.
n = 57 and n =3
Replace these values on the formula:
\(C=\frac{57!}{3!(57-3)!}=\frac{57!}{3!54!}=29260\)Hence, there are 29260 ways that the books can be selected.
Simplify the following expression:
6(3x) − 2y + 3z + 12(4x) − 9y
Answer:
9x+48x-2y-9y +3z
57x -11y +3z
calculate the taylor polynomials 2 and 3 centered at =0 for the function ()=16tan().
Taylor polynomials of degree 2 and 3 centered at x = 0 for the function f(x) = 16tan(x) are:
P2(x) = 16x + 8x^2
P3(x) = 16x + 8x^2
To find the Taylor polynomials centered at x = 0 for the function f(x) = 16tan(x), we can use the Taylor series expansion for the tangent function and truncate it to the desired degree.
The Taylor series expansion for tangent function is:
tan(x) = x + (1/3)x^3 + (2/15)x^5 + (17/315)x^7 + ...
Using this expansion, we can find the Taylor polynomials of degree 2 and 3 centered at x = 0:
Degree 2 Taylor polynomial:
P2(x) = f(0) + f'(0)(x - 0) + (1/2!)f''(0)(x - 0)^2
= 16tan(0) + 16sec^2(0)(x - 0) + (1/2!)16sec^2(0)(x - 0)^2
= 0 + 16x + 8x^2
Degree 3 Taylor polynomial:
P3(x) = P2(x) + (1/3!)f'''(0)(x - 0)^3
= 0 + 16x + 8x^2 + (1/3!)(48sec^2(0)tan(0))(x - 0)^3
= 16x + 8x^2
Therefore, the Taylor polynomials of degree 2 and 3 centered at x = 0 for the function f(x) = 16tan(x) are:
P2(x) = 16x + 8x^2
P3(x) = 16x + 8x^2
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1.
Each exterior angle of a regular polygon is 30°.
Work out the number of sides of the polygon.
(2 marks)
Answer:
Dodecagon (12 sides)
Step-by-step explanation:
PLS GIVE BRAINLIEST
Use the lessons we practice in class for Caesar, St. Cyr, Pigpen, and Rail Fence ciphers to answer the following prompts.
Decipher the following statement, using a St. Cyr slide. All you know about the length of the slide is that it is a prime number (i.e., 2, 3, 5, 7, 11, 13, 17, 19, 23).
ETEWPESPRCLASTYPIPCNTDPESCPPFYGZETYR
The deciphered message is: "XOZXBXPPIUDXOQHRDCQGHXHPPAGHNRAXTXL".
To decipher the given statement using a St. Cyr slide, we need to determine the correct length of the slide. Since we know that the length of the slide is a prime number, we can try different prime numbers as the length and see which one produces a meaningful decryption.
Let's try the prime numbers from 2 to 23 and see which one gives us a readable message.
Using a St. Cyr slide with a length of 2:
ETEWPESPRCLASTYPIPCNTDPESCPPFYGZETYR
DRDVORDQRBKZRSXOHOBMSBOCRROEUXFYEDQ
Using a St. Cyr slide with a length of 3:
ETEWPESPRCLASTYPIPCNTDPESCPPFYGZETYR
CSDVNDRRQBIARSBXOHNLRACNQQBNTWEYDCQ
Using a St. Cyr slide with a length of 5:
ETEWPESPRCLASTYPIPCNTDPESCPPFYGZETYR
BSDLMBNNOZHRMVXLKMLQZBMNPPAMSVEXCBP
Using a St. Cyr slide with a length of 7:
ETEWPESPRCLASTYPIPCNTDPESCPPFYGZETYR
ARCKLAMMNYGQLUKWJLKPYALMOOZLRUDWBAO
Using a St. Cyr slide with a length of 11:
ETEWPESPRCLASTYPIPCNTDPESCPPFYGZETYR
ZQBZDZRRJWFZQSJTEJTLWZJRRCCJPTCVZAN
Using a St. Cyr slide with a length of 13:
ETEWPESPRCLASTYPIPCNTDPESCPPFYGZETYR
YPAYCYQQIVEYPRISEDSKIYIQQBHIOSBUYZM
Using a St. Cyr slide with a length of 17:
ETEWPESPRCLASTYPIPCNTDPESCPPFYGZETYR
XOZXBXPPIUDXOQHRDCQGHXHPPAGHNRAXTXL
Using a St. Cyr slide with a length of 19:
ETEWPESPRCLASTYPIPCNTDPESCPPFYGZETYR
WNYWAWOOTHWCNPGRCBPFGWGOOZFGMQWWSWK
Using a St. Cyr slide with a length of 23:
ETEWPESPRCLASTYPIPCNTDPESCPPFYGZETYR
VMXVZVNNSGVBMOFQBAOEVVNNYDPELVPVUVJ
Out of the attempted prime lengths, the decryption using a St. Cyr slide of length 17 produces a readable message: "XOZXBXPPIUDXOQHRDCQGHXHPPAGHNRAXTXL".
Therefore, the deciphered message is: "XOZXBXPPIUDXOQHRDCQGHXHPPAGHNRAXTXL".
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Find the value of the variables
Answer:
x = 121 degrees
y = 59 degrees
w = 59 degrees
z = 53 degrees
v = 121 degrees
Step-by-step explanation:
31 + 90 + w = 180 ==> these three angles are in the top left triangle.
Triangles add up to 180 degrees
121 + w = 180 ==> solve for w
w = 59 degrees
y = w ==> these angles are opposite adjacent angles; they are congruent
y = 59 degrees ==> Both angles are equal. So both angles are 59 degrees
68 + y + z = 180 ==> triangles add up to 180 degrees
68 + 59 + z = 180 ==> plugin 59 for y
127 + z = 180 ==> solve for z
z = 53 degrees ==> subtract 137 on both sides
w + x = 180 ==> w and x are on a straight line.
Straight lines add up to 180 degrees.
59 + x = 180 ==> plugin 59 for w
x = 121 degrees ==> subtract 59 on both sides
v + y = 180 ==> v and y are also on a straight line.
v + 59 = 180 ==> plugin 59 for y
v = 121 degrees ==> subtract 59 on both sides
x = 121 degrees
y = 59 degrees
w = 59 degrees
z = 53 degrees
v = 121 degrees
the distribution for the size of families in one u.s. city is shown below. size proportion 2 0.422 3 0.234 4 0.205 5 0.088 6 0.032 7 0.019 a family is selected at random. find the probability that the size of the family is at least 3.
0.578. is the probability that the size of the family is at least 3.
What does the math term "probability" mean?
The simple definition of probability is the likelihood that something will occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out.
Statistics describes the examination of events subject to probability.
P(X>=3) can be written as
= 1 - P(X<3)
= P(X<=2)
= 1-0.422
= 0.578
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30+2k+5k=100
What is k?
Answer:
k = 10
Step-by-step explanation:
30+2k+5k=100
Combine like terms
30 + 7k = 100
Subtract 30 from each side
30+7k-30 = 100-30
7k = 70
Divide each side by 7
7k/7 = 70/7
k = 10
Answer:
k=10
Step-by-step explanation:
We are given the equation:
30+5k+2k=100
We want to find k, therefore we must isolate k on one side of the equation.
First, combine like terms on the left side of the equation. 5k and 2k can be added together.
30+5k+2k=100
30+(5k+2k)=100
30+7k=100
30 is being added to 7k. The inverse of addition is subtraction. Subtract 30 from both sides of the equation.
30-30+7k=100-30
7k= 100-30
7k= 70
k is being multiplied by 7. The inverse of multiplication is division. Divide both sides by 7.
7k/7=70/7
k=70/7
k= 10
The solution to the equation 30+5k+2k=100 is k=10
Pizzas are eaten at a party each pizza is cut into 8 slices 42 slices are taken write the proportion of the pizza as
Answer:
uh uhmmmm
Step-by-step explanation:
Please help solve for the volume
Answer:
Volume is very easy juts use this formula to help you.
Formual= L × W × H
Formula = 7 × 8 × 4
Answer 7 × 8 × 4 = 224
( BTW when solving for volume ur always gonna use multiplication and this formula)
A bird is flying directly above a tree. You are standing 84 feet away from the base of the tree. The angle of elevation to the top of the tree is 38, and the angle of elevation to the bird is 60, what is the distance from the bird to the top of the tree
The distance from the bird to the top of the tree is 61.95 feet.
We have,
Angle of elevation to the top of the tree: 38 degrees.
Angle of elevation to the bird: 60 degrees.
Distance from the base of the tree to your position: 84 feet.
Let the distance from the bird to the top of the tree as 'x'.
Using Trigonometry
tan(38) = height of the tree / 84
height of the tree = tan(38) x 84
and, tan(60) = height of the tree / x
x = height of the tree / tan(60)
Substituting the value of the height of the tree we obtained earlier:
x = (tan(38) x 84) / tan(60)
x ≈ 61.95 feet
Therefore, the distance from the bird to the top of the tree is 61.95 feet.
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outliers are usually? choose one • 10 points easy to spot on a scatter plot hard to spot on a scatter plot not meant to be included on a scatter plot the last three data points to the right
Outliers are easy to spot on a scatter plot because they are far away from the other dots and can have a significant impact on the correlation between the variables. They can be found above or below the trend line, or far to the left or right of the scatter plot.
Outliers are usually easy to spot on a scatter plot.A scatter plot is a graph that uses dots to depict the values of two different data sets. Scatter plots are used to represent the relationship between two variables. Outliers are represented by dots that are far away from the other dots in the scatter plot, and they can have a significant impact on the correlation between the variables.
The position of the outlier on the scatter plot is what makes them stand out. Outliers can have a significant effect on the slope of the trend line or regression line. They can make the correlation appear stronger or weaker, depending on where they are located on the scatter plot.
Outliers are usually easy to spot on a scatter plot because they are dots that are far away from the other dots. They can be found above or below the trend line, or far to the left or right of the scatter plot. Outliers are important to identify because they can have a significant impact on the correlation between the variables being studied.
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Write 5/3 as a mixed number.
Answer:
Step-by-step explanation:
the answer would be 1 and 2/3
3 goes into 5 one time and you have 2 left
We have 2 fractions 2/5 and 3/10, and we want to rewrite them so that they have a common denominator (and whole number numerators).
Answer:
2/5=4/10 3/10
Step-by-step explanation:
2x2
5x2
Answer:
4/10 and 3/10
Step-by-step explanation:
The common denominator for 5 and 10 is 10
2/5 *2/2 = 4/10
2/5 and 3/10 with common denominators are
4/10 and 3/10
Halla el perimetro del triangulo PQR
Answer:
Perimetro = 4 cm + 7 cm + 12 cm
= 23 cm
Step-by-step explanation:
the expression 18+1.5x is 8 less than 36.5. What is the value of 4x
In the expression 1.5x + 18 = 36.5 - 8 x is 7, hence 4x is 28.
What are inequalities and their types?Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.
The symbol a < b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
a is less than or equal to b when a notation like a ≤ b.
a is bigger or equal value of an is indicated by the notation a ≥ b.
Given, An expression 18 + 1.5x is 8 less than 36.5.
∴ 1.5x + 18 = 36.5 - 8.
1.5x = 36.5 - 8 - 18.
1.5x = 10.5.
x = 10.5/1.5.
x = 7.
Therefore 4x is equal to 4(7) = 28.
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Which of the following would show that the 4 points are the vertices of a parallelogram?
A. DA = AB = BC = CD =
B. AB = CD = ; DA = BC =
C. DB = ; AC =
D./
A parallelogram is a quadrilateral with opposite sides that are parallel. In order to determine if the given points form a parallelogram, None of the given options clearly demonstrate that the four points are the vertices of a parallelogram.
A parallelogram is a quadrilateral with opposite sides that are parallel. In order to determine if the given points form a parallelogram, we need to examine the relationships between the sides and diagonals.
Option A, which states that DA = AB = BC = CD, does not provide enough information about the relationship between opposite sides or diagonals. Similarly, Option B, which states that AB = CD = and DA = BC =, does not provide sufficient information.
Option C, which states that DB = and AC =, also does not provide enough information to establish the parallelism of opposite sides.
Option D, which is not provided, cannot be evaluated as it is missing the necessary information.
In conclusion, none of the given options demonstrate the properties required to establish that the four points are the vertices of a parallelogram. Additional information, such as the slopes or lengths of the sides, is needed to determine if the given points form a parallelogram.
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if the residuals from a fitted regression violate the assumption of homoscedasticity, we know that a. they are normally distributed. b. they are independent of one another. c. there are extreme outliers. d. their variance is not constant.
Option D is the correct answer. if the residuals from a fitted regression violate the assumption of homoscedasticity their variance is not constant.
Homoscedasticity: It is an assumption of equal or similar variances in different groups are being compared. It is a condition in which the variance of the residual, or error term, in a regression model, is constant.
This is one of the most important assumptions of parametric statistical tests because they are sensitive to any dissimilarities. It is valid when X and Y are independent.
To deal with this First, we have attempted to transform your target using square root, log, reciprocal square root, or reciprocal transformations.
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The row reduction algorithm applies only to augmented matrices for a linear system. True or False?
The assertion is untrue. Regardless of whether a matrix is considered to be an augmented matrix for a linear system, the procedure can be applied to any matrix.
What is linear system?A system of linear equations is a collection of two or more equations with the same variables. Here, one may state that first-order linear equations are those in which the variable's greatest power is 1.One variable, two variables, or three variables can all be present in a linear equation. Therefore, if the output of the system caused by the weighted sum of the inputs equals the weighted sum of outputs, we may conclude that the system is linear. Examples of linear systems include filter circuits, communication channels, etc. Simply said, a system of linear equations is a collection of two or more linear equations. An equation system with two variables (x and y) has a graph that is two lines in the plane.To learn more about linear system, refer to:
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Write 2 decimals whose quotient is a about 4.1
Answer:
The decimals are 3.5 and 14.35.
Step-by-step explanation:
Choose all the numbers that 135 is divisible by.
Answer:
1, 3, 5, 9, 15, 27, 45, 135.
Step-by-step explanation:
Answer:
The factors of 135 are 1, 3, 5, 9, 15, 27, 45, 135
A paint wholesaler uses the function f(x)=2\sqrt{x}f(x)=2
x
to determine the cost, in dollars, to buy xx gallons of paint. Find and interpret the given function values and determine an appropriate domain for the function.
Round your answers to the nearest cent.
f(0)=f(0)=
, meaning the cost of buying
gallons of paint would be $
. This interpretation
in the context of the problem.
f(70)=f(70)=
, meaning the cost of buying
gallons of paint would be $
. This interpretation
in the context of the problem.
f(58.5)=f(58.5)=
, meaning the cost of buying
gallons of paint would be $
. This interpretation
in the context of the problem.
Based on the observations above, it is clear that an appropriate domain for the function is
.
Answer:
\(f(0) = 0\)
\(f(70) = 16.74\)
\(f(58.5) = 15.30\)
\(x \geq 0\)
Step-by-step explanation:
Given
\(f(x) = 2\sqrt x\)
Solving (a): f(0)
\(f(x) = 2\sqrt x\)
\(f(0) = 2 * \sqrt 0\)
\(f(0) = 2 * 0\)
\(f(0) = 0\)
Interpretation:
This implies that, the cost of 0 paints is $0
Solving (b): f(70)
\(f(x) = 2\sqrt x\)
\(f(70) = 2 * \sqrt{70\)
\(f(70) = 2 * 8.37\)
\(f(70) = 16.74\)
Interpretation:
This implies that, the cost of 70 paints is $16.74
Solving (c): f(58.5)
\(f(x) = 2\sqrt x\)
\(f(58.5) = 2 * \sqrt{58.5\)
\(f(58.5) = 2 * 7.65\)
\(f(58.5) = 15.30\)
Interpretation:
This implies that, the cost of 58.5 paints is $15.30
Solving (d): The domain
\(f(x) = 2\sqrt x\)
Set the radicand x to \(\geq 0\)
i.e.
\(x \geq 0\)
Hence:
The domain is \(x \geq 0\)