Answer:
$23.30
Step-by-step explanation:
We Know
You paid $6.99
The shirt was 70% off
$6.99 = 30%
What was the original price of the shirt?
We Take
(6.99 ÷ 30) x 100 = $23.30
So, the original price is $23.30
Simplify (m2n)3. .... that is M to the 2nd power times n in parenthesis to the 3rd power
Please assist with this question if you can! thank you
Question 5 of 10
A circle is the collection of points in a plane that are within a certain distance
from a given point in the plane.
True
False
The collection of all points in a plane that are equally spaced from a given point, referred to as the circle's center, is referred to as a circle. The radius of the circle is the distance measured from any point on the circle to its center.
A circle is described as the collection of all points on a plane that is at the same distance, or radius, from a fixed point known as the circle's center.
Every location inside the circle is, therefore, closer to the center point than the radius, and any point outside the circle is farther away from the center point than the radius.
Therefore, a circle is made up of points that are spaced out by a particular amount, known as the radius, from the circle's center.
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100 Points! Algebra question, photo attached. Please show as much work as possible. Thank you!
Answer is down below!
Step-by-step explanation:
5 x2 =`5 xj2
plot 1 2/5 - 1/2 - 2 1/10 on a number line
A graph of the data set is shown in the image attached below.
What is a number line?In Mathematics and Geometry, a number line simply refers to a type of graph with a graduated straight line which comprises both positive and negative numbers that are placed at equal intervals along its length.
This ultimately implies that, a number line primarily increases in numerical value towards the right from zero (0) and decreases in numerical value towards the left from zero (0).
In this scenario and exercise, we would use an online graphing calculator to graphically represent the given data set on a number line as shown in the image attached below.
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PLSSS HELPP
This figure represents the base of a fish tank that is 8 inches high.
What is the volume of the fish tank?
Responses
378 in³
378 in³
408 in³
408 in³
480 in³
480 in³
768 in³
The volume of the fish tank is 408in³
What is volume?Volume is defined as the space occupied within the boundaries of an object in three-dimensional space. It is also known as the capacity of the object.
The volume of regular object is given as;
V = base area × height
base area = 13 × 6
= 78in²
The area of the cut out section = 1/2(a+b) h
= 1/2 × (3+6) × 6
= 9× 3 = 27in²
The actual area of the base shown = 78-27
= 51 in²
therefore the volume of the tank will be
V = 51 × 8
= 408in³
therefore the volume of the tank is 408in³
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USE STRUCTURE The graph of a quadratic function has a vertex (2, 0). One point on the graph is (S. 9). Explain how to find another
point on the graph.
. It can be found by graphing the points given and sketching the parabola
Another point on the graph is (-1,
that passes through them. You can move over and up from the vertex and do the same on the opposite side of the line x=
It can be found by graphing the points given and sketching the parabola. Another point on the graph is (-1, 9) that passes through them. You can move over and up from the vertex and do the same on the opposite side of the line x = -1.
How to determine the other points for the given quadratic equation?In Mathematics and Geometry, the vertex form of a quadratic function is represented by the following mathematical equation:
f(x) = a(x - h)² + k
Where:
h and k represents the vertex of the graph.a represents the leading coefficient.Based on the information provided, the vertex is located at point (2, 0), and this ultimately implies that the axis is represented by the vertical line x = 2 that passes through the vertex.
Additionally, the parabola would be bilaterally symmetric about the above axis, and the mirror image of the point (5, 9) would also be on this parabola.
Therefore, the mirror image would have the same y-coordinate of 9 while the x-coordinate is given by:
x = 2 - (5 -2)
x = -1.
In conclusion, the required point is (-1, 9).
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Complete Question:
The graph of a quadratic function has a vertex (2, 0). One point on the graph is (5, 9). Explain how to find another point on the graph. It can be found by graphing the points given and sketching the parabola. Another point on the graph is (-1, _) that passes through them. You can move over and up from the vertex and do the same on the opposite side of the line x=
One cubic foot of a crushed mineral weighs 150 pounds. How many pounds of the crushed mineral can a container with the dimensions shown hold?
Therefore , the solution of the given problem of volume comes out to be 4500 pounds of the crushed mineral can fit inside the container.
What exactly does volume mean?The volume of a three-dimensional item, which is measured in cubic units, describes how much room it occupies. Litre and in3 are the symbols for cubic measurements. However, in order to determine an object's dimensions, you must be aware of its volume. It's common practise to translate an object's weight onto metric units like kilogrammes.
Here,
We must first determine the container's volume, then multiply it by the crushed mineral's weight per cubic foot.
The container's measurements in the image are as follows:
=> 5 feet in length
=> Size: 3 feet wide
=> Height is two feet.
The following formula determines the container's volume:
=> Volume = length* width*height
Inserting the values:
=> 5 feet * 3 feet * 2 feet = volume.
=> 30 cubic feet is the volume.
=> Volume of container x Weight per cubic foot = Weight of crushed mineral
=> Weight of crushed mineral = 30 cubic feet x 150 pounds/cubic foot
=> The crushed mineral weighs 4500 pounds.
Therefore, 4500 pounds of the crushed mineral can fit inside the container.
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In •A find CE if BA=7.35.
The value of CE is 14.7 units.
What if the diameter of a circle?The diameter of a given circle is a straight line which passes through the center of the circle and divides it into two equal semi-circles.
So that in the given circle with center A, we have;
CE = BD (diameter of a given circle)
BA = EA = CA = DA (radius of a given circle)
CE is the diameter of the circle, and BA is the radius, so that;
CE = 2*BA
= 2*7.35
= 14.7
CE = 14.7
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Find the area of the shaded region
Round to the nearest tenth
Answer:
160
Step-by-step explanation:
9 x 18 = 162
Since the last number is not 5 and is lower it rounds down to 160.
Determine if the segment lengths form a triangle. if so, would the triangle be acute, right, or obtuse
4.1, 8.2, 12.2
A.No, they do not form a triangle
Answer: D
Step-by-step explanation:
Name a point on the given line, then find the slope of the line. y + 2 = 3/2 (x + 7)
Answer:
y = (3/2)x + 17/2
Slope: 3/2
Step-by-step explanation:
y + 2 = 3/2 (x+7)
y + 2 = (3/2)x + 21/2
y = (3/2)x + 21/2 - 2
y = (3/2)x + 21/2 - 4/2
y = (3/2)x +17/2
Which ordered pair (x,y) could not be substituted in the relation below so that the relation is functional (6,7),(-2,9),(8,8),(-4,9),(x,y) a. (9,9) b. (2,9) c (7,8) d. (8,3)
None of the answer choices would result in an x-value being associated with two different y-values, the correct answer is:
e. None of the above.
what is algebra?
Algebra is a branch of mathematics that deals with mathematical operations and symbols used to represent numbers and quantities in equations and formulas.
To check whether the relation is functional, we need to make sure that each x-value is associated with only one y-value.
We can see that the pairs (6,7), (-2,9), (8,8), and (-4,9) all have different x-values, and therefore are associated with different y-values. This means that the relation is currently functional.
To determine which ordered pair could not be substituted so that the relation is functional, we need to find an x-value that is associated with two different y-values.
Let's look at each of the answer choices and see if they fit this criteria:
a. (9,9): This pair does not already appear in the relation, so it's possible that it could be added without affecting the functionality of the relation.
b. (2,9): This pair does not already appear in the relation, so it's possible that it could be added without affecting the functionality of the relation.
c. (7,8): This pair does not already appear in the relation, so it's possible that it could be added without affecting the functionality of the relation.
d. (8,3): This pair does not already appear in the relation, so it's possible that it could be added without affecting the functionality of the relation.
Since none of the answer choices would result in an x-value being associated with two different y-values, the correct answer is:
e. None of the above.
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Find the interest
earned:
$9,900 for 24 months
at 7.8% annual simple
interest
To find the simple interest earned on an investment, we use the formula:
I = P * r * t
Where:
I = simple interest earned
P = principal amount invested
r = annual interest rate (as a decimal)
t = time period of investment (in years)
In this case, we have:
P = $9,900
r = 7.8% = 0.078 (since the rate is given as an annual rate, we need to divide by 100 to get the decimal equivalent)
t = 24 months / 12 months/year = 2 years
Substituting these values into the formula, we get:
I = 9,900 * 0.078 * 2
= $1,545.60
Therefore, the simple interest earned on the investment is $1,545.60.
Help !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The calculated value of the perimeter of triangle ABD is 48 units.
Calculating the perimeter of the triangle ABDGiven that
A(1, 1), B(17, 1) and D(17, 13)
To find the perimeter of triangle ABD, we need to find the lengths of its three sides and add them up.
We can use the distance formula to find the lengths of the sides.
The distance between points A and B is:
AB = √((17 - 1)^2 + (1 - 1)^2) = √(256) = 16
The distance between points B and D is:
BD = √((17 - 17)^2 + (13 - 1)^2) = √(144) = 12
The distance between points D and A is:
DA = √((1 - 17)^2 + (1 - 13)^2) = √(256 + 144) = √(400) = 20
Therefore, the perimeter of triangle ABD is:
AB + BD + DA = 16 + 12 + 20 = 48
So, the perimeter of triangle ABD is 48 units.
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Write the factored form of the polynomial function with real coefficients, a lead coefficient of 1, and zeros of -1,-3,3,1
Answer:
To find the factored form of the polynomial function, we start by using the zeros to write out the factors of the polynomial. If the zeros are a, b, c, d, then the factors are (x-a), (x-b), (x-c), and (x-d).
In this case, the zeros are -1, -3, 3, and 1, so the factors are (x+1), (x+3), (x-3), and (x-1). Multiplying these factors together gives the polynomial function:
f(x) = (x+1)(x+3)(x-3)(x-1)
To simplify this expression, we can use the distributive property to expand the factors:
f(x) = (x+1)(x^2 - 9)(x-1)
Next, we can multiply the remaining factors using the distributive property and combining like terms:
f(x) = (x^3 - 8x - 9)(x-1)
Finally, we can use the distributive property again to expand the remaining factor:
f(x) = x^4 - 9x^2 + 8x + 9x^3 - 8x - 9
Simplifying this expression gives the factored form of the polynomial function:
f(x) = (x+1)(x+3)(x-3)(x-1) = x^4 - 9x^2 + 8x - 9x^3 - 8x - 9.
The usual price of 4 pencils was m Meihua bought 36 pencils and was given a discount of n for each pencil how much did she pay altogether
The total amount that Meihua pays for the 36 pencils is 9M - 36n
How much did she pay altogether?We know that a set of 4 pencils has a price M, then the price of each single pencil is:
P = M/4
And we also know that Meihua got a discount of n in each pencil, so the price that she pays for each pencil is:
P = M/4 - n
Now we know that she buys 36 of these, so the amount that she pays is given by the product:
amount = 36*(M/4 - n)
amount = 9M - 36n
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The factorization of x2 – 6x – 72 is:
Step-by-step explanation:
x^2 -6x - 72 = ( x-12)(x+6)
If you can't do this 'in your head' you can always use Quadratic Formula
with a = 1 b= - 6 and c= -72
to find roots x = 12 and -6 then write the equation as above
6/5/8 - 2/3/8 estimate
The estimated value of the expression [tex]6/5/8 - 2/3/8[/tex] is approximately [tex]0.5082[/tex].
How can we calculate the multiple fraction?In Mathematics, fractions are defined as the parts of a whole. The whole can be an object or a group of objects
To estimate 6/5/8 - 2/3/8, we can convert the fractions to decimals and then perform the subtraction.
6/5/8 is equivalent to 6 ÷ 5.8, which is approximately 1.0345. 2/3/8 is equivalent to 2 ÷ 3.8, which is approximately 0.5263.
Therefore, 6/5/8 - 2/3/8 is approximately 1.0345 - 0.5263 = 0.5082.
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Luka and Dana are making cookies for the Westland pantry. They only have up to 6 hours to bake! They can bake 32 chocolate chip cookies in an hour(x), and 20 snickerdoodle cookies in an hour(y). They need it make at least 150 cookies. Which inequality represents the situation?
Option 3. x+y≤6 , 32x + 20y ≥ 150. The inequality 32x + 20y ≥ 150 ensures that they bake enough cookies to meet the requirement of making at least 150 cookies.
The right disparity that addresses what is happening is:
32x + 20y ≥ 150
To see the reason why, we want to consider the quantity of treats Luka and Dana can heat in every hour and the all out number of hours they need to prepare. We should expect they have H hours to prepare, where H = 6 for this situation.
Luka and Dana can prepare 32 chocolate chip treats in 60 minutes, so they can heat a sum of 32x treats in x hours. Likewise, they can prepare a sum of 20y snickerdoodle treats in y hours. To make no less than 150 treats, they need to prepare a mix of chocolate chip and snickerdoodle treats in every hour, with the end goal that the complete number of treats they make in H hours is something like 150.
Thus, the imbalance 32x + 20y ≥ 150 guarantees that they heat an adequate number of treats to meet the necessity of making somewhere around 150 treats.
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dertermine if T:R^3-R^2 defined as T(x1,x2,x3)=(x1+x3,2x2-x3) is a linear transformation
Yes, [tex]T(x_1,x_2,x_3)=(x_1+x_3,2x_2-x_3)[/tex] is a linear transformation.
What is a linear transformation?A linear map is a mapping V to W between two vector spaces in mathematics, more specifically in linear algebra, that keeps the operations of vector addition and scalar multiplication. The more broader example of modules over a ring also uses the same terminology and definition are Module homomorphism.
What is homomorphism?The maps between algebraic objects are known as homomorphisms. Group homomorphisms and ring homomorphisms are the two basic categories. In Other words ,homomorphisms of modules, algebras, and vector space homomorphisms, which are also known as linear maps.
Two properties must be satisfied if T is a linear transformation:
T(x+ y) = T(x) + T(y) for any x, y in [tex]R^3.[/tex]
homogeneity is T(ax) = a T(x). For all scalars a and x in [tex]R^3.[/tex].
let a consider
L.H.S,T(x+y)= T[tex]((x_1+y_1),(x_2+y_2),(x_3+y_3[/tex]))= [tex](x_1+y_1+x_3+y_3, 2x_2+2y_2-x_3)[/tex]
R.H.S. T(x) + T(y) =[tex](x_1+x_3, 2x_2-x_3) +(y_1+y_3, 2y_2-y_3) =(x_1+y_1+x_3+y_3, 2x_2+2y_2-y_3).[/tex]
L.H.S.=R.H.S.
So,The first property is satisfied i.e. T(x+ y) = T(x) + T(y) for any x, y in [tex]R^3.[/tex]
For homogeneity,
let a consider ,
L.H.S. T(ax) = T[tex](ax_1,ax_2,ax_3) = (ax_1+ax_3, 2ax_2-ax_3).[/tex]
R.H.S. a T(x) = a T[tex](x_1,x_2,x_3) = a(x_1+x_3, 2x_2-x_3) = (ax_1+ax_3, 2ax_2-ax_3).[/tex]
L.H.S.=R.H.S.
So, T(ax) = a T(x). for all scalars a and all vectors x in [tex]R^3.[/tex].are satisfied
A linear transformation from [tex]R^3[/tex]to[tex]R^2[/tex] . is therefore represented by T.
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In the diagram above, the sine of angle ACB = 3/5. What is the sine of angle ANM?
Because the sine of angle ACB = 3/5, then the sine of angle ANM will be equal to 3/5 too.
Understanding TriangleA triangle is a shape with 3 sides. There are 3 types of triangle which are:
equilateral triangle: this type has all sides equalisosceles triangle: this type has 2 sides equalscalene triangle: this one has no sides equalFrom the diagram, we can see that we have a small triangle inside a big triangle. From the principle of triangle, the angle C is equal to angle N.
Let us say angle C is 30° then the angle N will also be equal to 30*. Therefore the angle ACB = angle ANM = 3/5
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Ian deposited $1,000 into an account that earns 5% simple annual interest. Jackson deposited $1,000 into an account that earns 5% interest compounded annually. The deposits will be made on the same day, and no additional money will be deposited or withdrawn from the accounts. Which investment earns more interest after 10 years? How much more interest?
Ian earned $500 in simple annual interest after 10 years, while Jackson earned $1,128.89 more in interest than Ian after 10 years due to compound interest.
Ian's account earns simple annual interest, which means that he earns 5% interest on his initial deposit every year. After 10 years, he will have earned
interest = principal x rate x time
interest = 1000 x 0.05 x 10
interest = $500
Jackson's account earns interest that is compounded annually, which means that he earns 5% interest on his initial deposit plus any interest that has already been earned every year. After 10 years, he will have earned
[tex]balance = principal x (1 + rate)^{time}[/tex]
balance = 1000 x (1 + 0.05)¹⁰
balance = $1,628.89
To find out how much more interest Jackson earned than Ian, we need to subtract the interest Ian earned from the balance in Jackson's account
$1,628.89 - $500 = $1,128.89
Therefore, Jackson earned $1,128.89 more in interest than Ian after 10 years.
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A rectangle is shown on the coordinate plane.
The coordinates of the vertices of rectangle are (-3,3),(6,3),(6,-3), (-3,-2). the rectangle is 9 units long and 5 units wide.
Describe Graph?In mathematics and computer science, a graph is a collection of vertices (also called nodes) and edges that connect pairs of vertices. Graphs are used to represent various types of relationships between objects, such as social networks, road networks, electrical circuits, and many others.
Vertices in a graph are typically represented by circles or points, while edges are represented by lines or arcs that connect pairs of vertices. A graph can be directed, where each edge has a direction, or undirected, where edges have no direction.
The coordinates of the vertices of rectangle are (-3,3),(6,3),(6,-3), (-3,-2).
To find the length and width of the rectangle, we need to determine the distance between the points on the x and y axes.
The length of the rectangle is the distance between points (-3,3) and (6,3) on the x-axis:
Length = 6 - (-3) = 9 units
The width of the rectangle is the distance between points (-3,3) and (-3,-2) on the y-axis:
Width = 3 - (-2) = 5 units
Therefore, the rectangle is 9 units long and 5 units wide.
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Find the angles of the circle with the information given
The measure of arc BC is 40⁰.
The measure of angle BPE is 50⁰.
The measure of angle BAD is 55⁰.
The measure of angle AOP is 110⁰.
The measure of angle AFB is 70⁰.
The value of arc DE is 110⁰.
What is the measure of the angles?The measure of each angle is calculated as follows;
if arc BA = arc CD, then value of arc BC is calculated as follows;
BA + CD + BC = 180 (sum of angles of a semi circle)
arc CD = 70 (intersecting chord theorem)
70 + 70 + BC = 180
140 + BC = 180
BC = 180 - 140
BC = 40
Arc AE = 70⁰, since angle EOF = 70 (vertical opposite angles)
Arc AB = 180 - (AE + BC)
arc AB = 180 - (70 + 40)
arc AB = 70⁰
The value of angle P is calculated as follows;
arc EB = 70 + 70 = 140⁰
m∠BPE = ¹/₂ (140 - 40)
m∠BPE = 50⁰
m∠BAD = ¹/₂ (BC + CD) (intersecting chord theorem)
m∠BAD = ¹/₂ (40 + 70)
m∠BAD = 55⁰
m∠AOP = (AB + BC) (intersecting chord theorem)
m∠AOP = (70 + 40)
m∠AOP = 110⁰
m∠AFB = (AB) (intersecting chord theorem)
m∠AFB = 70⁰
The value of arc DE is calculated as follows;
DE = 360 - (180 + CD) (sum of angles of a circle)
DE = 360 - (180 + 70)
DE = 360 - 250
DE = 110⁰
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An engine does 62 J of work each cycle as it absorbs 2 times as much heat as it discharges to the environment. A) Determine the efficiency of the engine in percent. B) What quantity of heat is discharged to the environment each cycle in Joules?
Answer:
A) 150%
B) 20.67 J
Step-by-step explanation:
A) To determine the efficiency of the engine, we can use the formula:
efficiency = (work output / heat input) x 100%
In this case, the engine does 62 J of work each cycle, so the work output is 62 J. We're also given that the engine absorbs 2 times as much heat as it discharges to the environment, so we can express the heat input as 2 times the heat discharged:
heat input = 2 x heat discharged
Therefore, we can rewrite the efficiency formula as:
efficiency = (62 J / (2 x heat discharged)) x 100%
Simplifying this expression, we get:
efficiency = 31 J / heat discharged
Now we need to determine the value of heat discharged. We know that the engine absorbs 2 times as much heat as it discharges, so the net heat input is 3 times the heat discharged:
net heat input = heat input - heat discharged = 2 x heat discharged - heat discharged = heat discharged
Therefore, we can express the net heat input as:
net heat input = 3 x heat discharged
Now we can use the first law of thermodynamics, which states that the net heat input is equal to the work output plus the heat discharged:
net heat input = work output + heat discharged
Substituting the given values, we get:
3 x heat discharged = 62 J + heat discharged
Solving for heat discharged, we get:
heat discharged = 20.67 J
Now we can calculate the efficiency:
efficiency = 31 J / 20.67 J = 1.50 or 150%
Therefore, the efficiency of the engine is 150%.
B) To determine the quantity of heat discharged to the environment each cycle in Joules, we can use the value we calculated above for heat discharged:
heat discharged = 20.67 J
Therefore, the quantity of heat discharged to the environment each cycle is 20.67 J.
Hope this helps!
x^2+16=(x+4)^2 true or false?
Answer:
False
Step-by-step explanation:
(x+4)^2 = x^2 + 8x + 16
There are three colored cookie jars. One jar is blue, another green and the last one pink. The blue jar contains 7 chocolate chip and 12 sugar cookies. The green jar contains 6 chocolate chip, 8 sugar and 5 peanut butter cookies. The pink jar contains 15 chocolate chip, 9 sugar and 13 peanut butter cookies. One of the three cookie jars is chosen at random. The probabilities that the blue jar, green jar, or pink jar will be chosen are 1⁄2 , 1⁄4 , and 1⁄4 , respectively. A cookie is then chosen at random from the chosen jar. What is the probability that the pink jar was chosen, if it is known that the cookie was a sugar cookie?
The probability that the pink can was chosen because the cookie was a sugar cookie is about 0.282, or about 28.2%.
Why do you think probability?Probability is simply how likely something is to happen. When we are uncertain about the outcome of an event, we can talk about the probability of certain outcomes - how likely they are. The analysis of events driven by probabilities is called statistics.
We can use Bayes' theorem to calculate the probability that the pink can was chosen because the cookie was a sugar cookie. Let P(P) be the probability that the pink jar was chosen, P(S) be the probability that the chosen cookie was a sugar cookie, and P(S|P) be the probability that a sugar cookie was chosen given that the pink one was chosen. Then we have:
P(P|S) = P(S|P) * P(P) / P(S)
We can calculate all these probabilities as follows:
P(S|P) = 9 / (15 9 13) = 9/37
This is the probability of choosing a sugar cookie, given that the pink can was chosen.
P(P) = 1/4
This is the probability of choosing the pink can.
To calculate P(S), we need to consider all possible options for choosing a sugar cookie. We can choose a sugar loaf from a blue, green or pink jar. So:
P(S) = P(S|B) * P(B) P(S|G) * P(G) P(S|P) * P(P)
where P(S|B) is the probability of choosing a sugar cookie from the blue jar, P(G) is the probability of choosing the green jar, and so on. We can calculate all these probabilities as follows:
P(S|B) = 12 / (7 12) = 12/19
P(S|G) = 8 / (6 8 5) = 8/19
P(S|P) = 9 / (15 9 13) = 9/37
P(B) = 1/2
P(G) = 1/4
P(P) = 1/4
So,
P(S) = (12/19) * (1/2) (8/19) * (1/4) (9/37) * (1/4) = 271/444
We can now calculate P(P|S) using Bayes' theorem:
P(P|S) = (9/37) * (1/4) / (271/444) ≈ 0.282
Therefore, the probability that the pink can was chosen because the cookie was a sugar cookie is about 0.282, or about 28.2%.
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70+15=85 125+85=210 Write into an equation.
Answer:
Brother asked a very good question.
We can write the given arithmetic expressions into equations as follows:
70 + 15 = 85
This can be written as an equation: x + 15 = 85, where x is the unknown value that needs to be determined.
125 + 85 = 210
This can be written as an equation: y + 85 = 210, where y is the unknown value that needs to be determined.
These equations can be used to solve for the unknown values x and y by performing inverse operations (such as subtraction or division) to isolate the unknown variable on one side of the equation.
Find the positive solution to each equation.
If the solution is irrational, write the solution using square root or cube root notation.
Equation
Positive Solution
The solutions are explained in the solution below.
1) t³ = 216
t = ∛216
t = ∛6×6×6
t = 6
2) a² = 15
a = √15
a = 3.87
3) m³ = 8
m = ∛8
m = ∛2×2×2
m = 2
4) c³ = 343
c = ∛343
c = ∛7×7×7
c = 7
e) f³ = 181
f = ∛181
f = 5.65
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