Toula calculates the cost of cementing the bottom and sides of a circular pond. When all costs are considered, the job will cost $175.85 per square metre of finished area. if the pond has a radius of 3 feet and a depth of 2 feet, how much will she charge for the job?

-1

Functions are often given in a different notation than other relationships. This is known as function notation.

Function Notation

Function notation is most commonly written with the variables f(x) and x. The variable f(x) is pronounced "f of x". Still, function notation can be written with any variables such as w(a) and a. The independent variable, also known as the y-value, is f(x). The dependent variable is x. For the question above, w(a) is independent and a is dependent. When solving a function for a specific value, to show what the x-value is, we put that value into the parentheses.

So, the question uses w(0) to show that 0 is the a-value we are using to solve. In context, w(0) means to solve the function when a = 0.

Solving for w(0)

To solve this, all we need to do is plug 0 in for a.

This means that w of 0 is equal to -1.

Answer:

70%

Step-by-step explanation:

56 / 80 x 100 = 70%

The exact interest will be $124.44.

What is simple interest?

A quick and simple way to figure out interest on money is to use the simple interest technique, which adds interest at the same rate for each time cycle and always to the initial principal amount. Any bank where we deposit our funds will pay us interest on our investment. One of the different types of interest charged by banks is simple interest. Now, before exploring the idea of basic curiosity in further detail,

The formula for simple interest is:

S = p*t*r/100

where P is the principal amount of money, R is the interest rate as a decimal, T is the time.

Katy Perry's bank granted her a single-payment loan of $4,400 at an interest rate of 6% exact interest to buy a new sound system.

The term of the loan is 172 days in years it will be 172/365.

S = 4400*6*172/365*100 = 124.44

Hence the exact interest will be $124.44.

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Answer:

Step-by-step explanation:

x^2+(x-12)^2=144

x=0 or x=12

y=0-12  or 12-12

replace the values in the equation given, and you get

Intersection points are :

(x1,y1) = (0,-12)

(x2,y2) = (12,0)

Answer:

0.29

Step-by-step explanation:

Answer:

0.285714

Step-by-step explanation:

The required average velocity both conditions are -2 mm/s and -1/2 mm/s.

The direction of a body or object's movement is defined by its velocity. In its basic form, speed is a scalar quantity. In essence, velocity is a vector quantity. It is the speed at which distance changes. It is the displacement change rate.

To find the average velocity over the interval 1 < t < 3 for the position function s(t) = 12t - t^2, we need to find the derivative of the position function and then evaluate it at the limits of the interval. The derivative of the position function s(t) = 12t - t^2 is given by:

s'(t) = 12 - 2t

The average velocity over the interval 1 < t < 3 is given by:

v_avg = (s'(3) - s'(1)) / (3 - 1) = (12 - 23 - (12 - 21)) / (3 - 1) = -2

Therefore, the average velocity over the interval 1 < t < 3 for the position function s(t) = 12t - t^2 is -2 mm/s.

For the position function s(t) = ln(t), the derivative of the position function is given by:

s'(t) = 1/t

The average velocity over the interval 1 < t < 3 is given by:

v_avg = (s'(3) - s'(1)) / (3 - 1) = (1/3 - 1) / (3 - 1) = -1/2

Therefore, the average velocity over the interval 1 < t < 3 for the position function s(t) = ln(t) is -1/2 mm/s.

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The value of x is 11.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

From the figure,

5x + 3x + 2 = 90

Solve for x.

8x + 2 = 90

8x = 90 - 2

8x = 88

x = 11

Thus,

x is 11.

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P ( A or B ) ≠ P(A) + P(B) Hence, A and B are not mutually exclusive. hence  is not true for events

therefore the given condition is not true and hence statement is not true for the given events

Two events are called mutually exclusive they are independent to each other.

Also, If A and B are any two events,

Then they are called mutually exclusive,

If P(A ∪ B ) = P(A) + P(B)

Or P ( A or B ) = P(A) + P(B)

Here, P(A) = 0.37, P(B) = 0.38 and P(A or B) = 0.27

Since,

0.27 ≠ 0.37 + 0.38

⇒  P ( A or B ) ≠ P(A) + P(B)

Hence, A and B are not mutually exclusive.

therefore the given condition is not true and hence statement is not true

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The probabilities of the individual outcomes are the same.

The probability model for this situation is uniform.

A mathematical illustration of a random event is a probability model. Its sample space, occurrences therein, and associated probability for each event serve as its definition.

The collection of all potential outcomes is the sample space S for a probability model.

Hence, it can be seen that there is 2 of each number so there is an equal chance. when there is an equal chance that is uniform.

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The Fahrenheit is 51.8

Celsius also called centigrade, scale based on 0° for the freezing point of water and 100° for the boiling point of water. Invented in 1742 by the Swedish astronomer Anders Celsuius, it is sometimes called the centigrde scale because of the 100° interval between the defined points.

Fahrenheit temperature scale based on 32° for the freezing point of water and 212° for the boiling point of water, the interval between the two being divided into 180 equal parts. The 18th-century German physicist Daniel Gabreil Fahrenheit originally took as the zero of his scale the temperature of an equal ice - salt mixture and selected the values of 30° and 90° for the freezing point of water and normal body temperature, respectively: these later were revised to 32° and 96°, but the final scale required an adjustment to 98.6° for the later value.

Conversion formula for °C to °F

°F = (9/5 ×  °C) + 32

Given:

Convert 11 °C to °F?

°F(11×1.8) + 32  

= 19.8 + 32

= 51.8°F

Therefore 11 celsius (°c) is equal to 51.8 Fahrenheit (°F)

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Answer:

1050 ml ÷1000 = 1.05 liters of water

Step-by-step explanation:

I think this is right!!

Have a good rest of your day please mark brainiest

Answer: The last graph

Step-by-step explanation:

i did the test on flvs .

The last graph shows the relationship given in the table

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Slope = 11.50-8.5/4-2

=1.5

Let us take a point (5, 13), let us check this point which correctly matches the graph

Hence, the last graph shows the relationship given in the table

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The two number of rivers that run through the Fertile Crescent are the Tigris and the Euphrates.

These rivers were positive for societies in the Fertile Crescent because they provided a reliable number of  source of water for irrigation and drinking, and their associated river basins provided a variety of resources including fish, plants, and minerals. However, the rivers were also negative for societies in the Fertile Crescent because they could be unpredictable and cause flooding and erosion, which could destroy homes and crops.

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Answer:

The two rivers that run through the Fertile Crescent are the Euphrates and the Tigris. The rivers are the reason that the region is referred to as “fertile”. A fertile region is an area that produces healthy, sustaining vegetation. The negative aspect of the rivers was that flooding was common. Flooding could wipe out an entire years crop.

Step-by-step explanation:

pictures below

Answer:

Last option: 4a³

Step-by-step explanation:

Adding up the terms in the a³ column we get

12a³ -6a³ -2a³ = B

B = 12a³ -6a³ -2a³

B = (12 - 6 -2)a³

B = 4a³ ANSWER

Last choice in the answer choices

The rate of return on the $10,000 bond purchased at $8750 with a 10% coupon is 24.29%. The answer closest to this value is option C, 11.43%.

The rate of return on a bond is determined by the coupon rate and the difference between the purchase price and face value of the bond.

The coupon rate is the amount of interest paid annually on a bond expressed as a percentage of the face value of the bond.

In this case, the coupon rate is 10%, and the bond was purchased at $8750.

The face value of the bond is $10,000,

So the difference between the purchase price and face value is $1250.

The rate of return can be calculated as follows:

rate of return = (coupon rate + (face value - purchase price) / purchase price) * 100

rate of return = (0.10 + ($10,000 - $8750) / $8750) * 100

rate of return = (0.10 + ($1250 / $8750)) * 100

rate of return = (0.10 + 0.1429) * 100

rate of return = 0.2429 * 100

rate of return = 24.29%

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A graph of the points with its ordered pair to show the number of cereal boxes there are for shipment of 4, 8, 10, 14, and 16 cases is shown in the image attached below.

In Mathematics, a proportional relationship is a type of relationship that produces equivalent ratios and it can be modeled or represented by the following mathematical expression:

y = kx

Where:

Next, we would determine the constant of proportionality (k) for the relationship between the x-values and y-values in this table as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = 144/24

Constant of proportionality, k = 6.

When x= 4, the number of cereal boxes y is given by:

y = 6x

y = 6(4)

y = 24 ⇒ ordered pair (4, 24).

When x= 8, the number of cereal boxes y is given by:

y = 6x

y = 6(8)

y = 48 ⇒ ordered pair (8, 48).

When x= 10, the number of cereal boxes y is given by:

y = 6x

y = 6(10)

y = 60 ⇒ ordered pair (10, 60).

When x = 14, the number of cereal boxes y is given by:

y = 6x

y = 6(14)

y = 84 ⇒ ordered pair (14, 84).

When x = 16, the number of cereal boxes y is given by:

y = 6x

y = 6(16)

y = 96 ⇒ ordered pair (16, 96).

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The equivalent fractions, with a common numerator of 6, are given as follows:

A fraction is a numerical representation of the division of the two terms x and y that composed the fraction, as follows:

Fraction = x/y.

The terms are named as follows:

Equivalent fractions are fractions for which the ratio of the numerator and the denominator is the same.

For fraction 2/5, the numerator is of 2, hence 6/2 = 3 and the equivalent fraction is obtained as follows:

(2 x 3)/(5 x 3) = 6/15.

For fraction 3/10, the numerator is of 3, hence 6/3 = 2 and the equivalent fraction is obtained as follows:

(2 x 3)/(2 x 10) = 6/20.

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Frank has $54 left with him from the initial $65.

Now, Frank had $65 with him initially.

It is given that he spent $2 per day for 7 days (a week), implying that he spent $2 x 7 = $14 total.

Now, it is also given that he had to divide $9 between him and his brothers equally, i.e., 9/3 = $3.

Each brother (including Frank) gets $3 after the equal division.

Now, we have an expression in our hand:

65 - 2x7 + 9/3

Where, 2x7 implies the $14 he spent in the week

9/3 implies the division of money between him and his two brothers.

Solving the expression,

65 - 14 + 3 = $54

Thus, Frank has $54 left with him from the initial $65.

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Frank has $54 left with him from the initial $65.

Now, Frank had $65 with him initially.

It is given that he spent $2 per day for 7 days (a week), implying that he spent $2 x 7 = $14 total.

Now, it is also given that he had to divide $9 between him and his brothers equally, i.e., 9/3 = $3.

Each brother (including Frank) gets $3 after the equal division.

Now, we have an expression in our hand:

65 - 2x7 + 9/3

Where 2x7 implies the $14 he spent in the week

9/3 implies the division of money between him and his two brothers.

Solving the expression,

65 - 14 + 3 = $54

Thus, Frank has $54 left with him from the initial $65.

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The function is best represented by f (x) = x² + 2x.

option C

The values of x in the given function can be determined as follows;

From one of the solution of x = - 2 and the second solution = 0

Now, we already know that the function has no y intercept, so we will eliminate option A,  and B because they have values for y intercept.

Since one of the solutions of x, is negative 2, we will consider a function with positive equation.

f (x) = x² + 2x

solve for x;

x ( x + 2 ) = 0

x = 0  or  x + 2 = 0

x = 0 or - 2

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The measure of m∠MOH will be -

m∠MOH = m∠9 + 48°.

In Euclidean geometry -

an angle is the figure formed by two rays known as the sides of the angle and sharing a common endpoint known as the vertex of the angle.

Given is a parallelogram as shown in the image attached.

It is given that -

m∠2 = 48°

m∠2 = m∠7            {Alternate interior angles are equal}

Now -

m∠MOH = m∠9 + m∠7

m∠MOH = m∠9 + m∠2

m∠MOH = m∠9 + 48°

Therefore, the measure of m∠MOH will be -

m∠MOH = m∠9 + 48°.

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{THE IMAGE OF THE FIGURE IS ATTACHED WITH THE ANSWER}

Victor, a recent high school student, took the sat exam, then the probability (given as a percentage) is 53.8%

Let's start defining the random variable X.

X : '' SAT critical reading scores from the 2019 school year for high school students in the United States ''

We know that X ~ N (μ,σ)

Where μ is the mean and σ is the standard deviation.

⇒ X ~ N (497,115)

If we want to calculate probabilities related to X we need to standardized the random variable. We do this by subtracting the mean to X and then dividing by the standard deviation. This new random variable will be ''Z'' and Z ~ N (0,1)

We can find the probabilities of ''Z'' in any standard normal table.

The cumulative distribution of ''Z'' is the function Φ where  :

P ( Z ≤ a ) = Φ (a)

Now, we need to calculate the following probability :

= P ( 120 < [tex]X[/tex] < 513 )

If we standardized this :

= P ( [tex]\frac{120-497}{115}[/tex] < [tex]\frac{X-497}{115}[/tex] <  [tex]\frac{513-497}{115}[/tex] )

We know that [tex]\frac{X-497}{115}[/tex]≅ Z ⇒

= P ( [tex]\frac{120-497}{115}[/tex] < [tex]Z[/tex] <  [tex]\frac{513-497}{115}[/tex] )

= P ( [tex]\frac{120-497}{115}[/tex] < [tex]Z[/tex] <  [tex]\frac{513-497}{115}[/tex] )

= P ( -3.27 < [tex]Z[/tex] <  0.139 )

= Φ(-3.27) - Φ(0.139)

= 0.9898 - 0.4509

= 0.5389

= 53.89% ≅ 53.8%

Therefore,

Victor, a recent high school student, took the sat exam, then the probability (given as a percentage) is 53.8%

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Victor, a recent high school student, took the sat exam, then the probability (given as a percentage) is 53.8%

Let's start defining the random variable, X.

X: '' SAT critical reading scores from the 2019 school year for high school students in the United States ''

We know that X ~ N (μ,σ)

Where μ is the mean and σ is the standard deviation.

⇒ X ~ N (497,115)

If we want to calculate probabilities related to X we need to standardize the random variable. We do this by subtracting the mean from X and then dividing by the standard deviation. This new random variable will be ''Z'' and Z ~ N (0,1)

We can find the probabilities of ''Z'' in any standard normal table.

The cumulative distribution of ''Z'' is the function Φ where  :

P ( Z ≤ a ) = Φ (a)

Now, we need to calculate the following probability :

= P ( 120 <  < 513 )

If we standardized this :

= P (  <  <   )

We know that ≅ Z ⇒

= P (  <  <   )

= P (  <  <   )

= P ( -3.27 <  <  0.139 )

= Φ(-3.27) - Φ(0.139)

= 0.9898 - 0.4509

= 0.5389

= 53.89% ≅ 53.8%

Therefore,

Victor, a recent high school student, took the sat exam, then the probability (given as a percentage) is 53.8%

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The equation that can be used to find how much Carmen earns each week is y = 35 + 0.17x

The number of pamphlets she needs to deliver to earn $86 is 300 pamphlets

Base salary of Carmen = $35

Additional earnings per week= $0.17

Number of pamphlet Carmen delivers = x

Total amount Carmen earns = y

y = 35 + 0.17x

Number of pamphlets she needs to deliver to earn $86;

y = 35 + 0.17x

86 = 35 + 0.17x

86 - 35 = 0.17x

51 = 0.17x

x = 51/0.17

x = 300 pamphlet

Hence, Carmen earnings is represented by y = 35 + 0.17x and Carmen needs to deliver 300 pamphlet to earn $86

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A complex number is the product of a real number and an imaginary number in the form of a + bi. Complex numbers are used to solve equations that don't have real solutions, such as [tex]x^{2}[/tex] + 1 = 0.

How to solve a complex number?

Given:

When solving and reasoning with complex numbers, it's important to keep the following properties in mind:

1. The sum of two complex numbers is the sum of their real and imaginary parts.

For example, (a + bi) + (c + di) = (a + c) + (b + d)i

2. The product of two complex numbers is the product of their real and imaginary parts.

For example, (a + bi).(c + di) = (ac - bd) + (ad + bc)i

3. The magnitude (or absolute value) of a complex number is the distance from the origin to the point (a,b) on the complex plane.

For example, |a + bi| = √a^2 + b^2

4. The conjugate of a complex number is its mirror image across the real axis.

For example, the conjugate of (a + bi) is (a - bi).

These properties can be used to solve and reason with complex numbers. For example, to find the quotient of two complex numbers, one could divide the product of their conjugates by the product of their magnitudes.

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An experimental unit treats a person (also known as a subject), an object, or another clearly defined object.

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The value of the angle is ∠MLN = 21°

What is an angle? In-Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The word “angle” is derived from the Latin word “angulus”, which means “corner”. The two rays are called the sides of an angle, and the common endpoint is called the vertex. The angle that lies in the plane does not have to be in Euclidean space. In case the angles are formed by the intersection of two planes in Euclidean or other space, the angles are considered dihedral angles. The angle is represented using the symbol “∠”. The angle measurement between the two rays can be denoted using the Greek letter θ, α, β etc. If the angles are measured from a line, we can find two different types of angles, such as a positive angle and a negative angle.

Positive Angle: If the angle goes in counterclockwise, then it is called a positive angle.

Negative Angle: If the angle goes clockwise direction, then it is called a negative angle.

∠MLN = ∠MLO - ∠OLN

= 52° - 31°

= 21°

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Cosecant, Secant, and Cotangent are the three trigonometric functions that are, respectively, abbreviated as Csc sec cot.

The three trigonometric functions for cosecant, secant, and cotangent are, respectively, denoted as Csc sec cot. Due to the fact that these functions are the reciprocals of the sine, cosine, and tangent functions, respectively, they are also known as the reciprocal trigonometric functions.

Secant or sec is expressed as 1/cos, cotangent or cot is represented as 1/tan, or cos/sin, and cosecants or Csc are represented as 1/sin, [tex]$$Cos^{-1[/tex] and 1/cos should not be mistaken with one another because they are significantly different. The reciprocal of cos is 1/cos, and inverse cos is used to find angles.

The relationship between the sides and angles of a right-angled triangle is known as a trigonometric ratio. The ratio of the neighboring side to the opposite side is known as a cotangent.

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The probability that a data value is less than two standard deviations from the mean is 95.45%.

In a normal distribution, approximately 68% of the data values fall within one standard deviation from the mean. This means that about 68% of the data values lie between the mean minus one standard deviation and the mean plus one standard deviation.

If we extend this to two standard deviations from the mean, we find that approximately 95.45% of the data values fall within two standard deviations from the mean. This means that about 95.45% of the data values lie between the mean minus two standard deviations and the mean plus two standard deviations.

Therefore, the probability that a data value is less than two standard deviations from the mean is 95.45%.

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The probability that a data value is less than two standard deviations from the mean is 95.45%.

In a normal distribution, approximately 68% of the data values fall within one standard deviation from the mean. This means that about 68% of the data values lie between the mean minus one standard deviation and the mean plus one standard deviation.

If we extend this to two standard deviations from the mean, we find that approximately 95.45% of the data values fall within two standard deviations from the mean. This means that about 95.45% of the data values lie between the mean minus two standard deviations and the mean plus two standard deviations.

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