Answer:
13.5
Step-by-step explanation:
If y and x have a proportional relationship, we can write this relationship as:
y = kx
where k is the proportionality constant.
To find the value of k, we can use the information that "y = 9 when x = 2":
9 = k(2)
Solving for k, we get:
k = 9/2
Now we can use this value of k to find the value of y when x = 3:
y = (9/2)(3) = 27/2 = 13.5
Therefore, the value of y when x = 3 is 13.5.
Wurs 2/15-16: 10 Question Practice
7. An airplane pilot sights an airport runway at an
angle of depression of 18°. The airplane's altitude
is 1560 ft. What is the diagonal distance from
airplane to the runway?
The diagonal distance from the airplane to the runway is
▼
feet.
2 3 4 5 6
The diagonal distance from the airplane to the runway is approximately 5230.8 ft.
What is Trigonometry?Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles. It is used to solve problems related to measurements of angles and distances.
The angle of depression of 18° is the angle between the airplane's line of sight and the horizontal line representing the runway. We can label the altitude of the airplane as 1560 ft:
Now we can use trigonometry to find the diagonal distance from the airplane to the runway. In particular, we can use the tangent function:
tan(18°) = opposite / adjacent
In this case, the opposite side is the altitude of the airplane (1560 ft), and the adjacent side is the diagonal distance we're trying to find (x). Therefore:
tan(18°) = 1560 / x
To solve for x, we can multiply both sides by x and then divide both sides by tan(18°):
x = 1560 / tan(18°)
Using a calculator, we find that:
x ≈ 5230.8 ft
Therefore, the diagonal distance from the airplane to the runway is approximately 5230.8 ft.
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My teacher gave me an extra credit assignment with 25 minutes left of class. It is extra credit, not a timed assessment.
need done as soon as possible
Answer: it will be square or rhombus
Step-by-step explanation:
You insure your home for $125,000. You want to be safe and add coverage on the contents, so you take 55% on the contents. How much coverage will you have on the contents of your home?
The amount of coverage that you will have on the contents of your home would be = $68,750
How to calculate the amount of coverage for contents of your home?The total amount of money that was insured for the house = $125,000
The percentage of insurance that was left for the contents of the house = 55% of insurance.
That is;
= 55/100 × $125,000
= 6875000/100
= $68,750.
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In a research study on multitasking, 8 students were
asked to play a video game. They were then asked to
record the number of minutes they played the video
game. Could this be a graph of the results? Explain
how you know.
Step-by-step explanation:
study by the University of London found that participants who multitasked during cognitive tasks, experienced an IQ score decline similar to those who have stayed up all night. Some of the multitasking men had their IQ drop 15 points, leaving them with the average IQ of an 8-year-old chil
Which point is located at -1 3/8?
Point C is located at -1 3/8
Hope that helps!
let $pqr$ be an equilateral triangle, centered at $o.$ a point $x$ is chosen at random inside the triangle. find the probability that $x$ is closer to $o$ than to any of the vertices. (in other words, find the probability that $xo$ is shorter than $xp,$ $xq,$ and $xr.$)
The probability that $xo$ is shorter than $xp,$ $xq,$ and $xr.$ is,
⇒ 1/3
What is mean by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
Given that;
Let $pqr$ be an equilateral triangle, centered at $o$ a point $x$ is chosen at random inside the triangle.
Hence, The probability that $xo$ is shorter than $xp,$ $xq,$ and $xr.$ is,
⇒ 1/3
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If you invest $9,500 per period for the following number of periods, how much would you have?
13 years at 10 percent.
50 years at 9 percent.
The accrued amounts are $32,796.58 and $706,396.44.
Compound interest is computed as interest on the principle of an account plus any accrued interest.
Compound interest can be calculated using the following formula:
x = P (1+r/n[tex])^{rt}[/tex]
,where x = compound interest
P = principal (the initial deposit or loan amount)
r = annual interest rate
n = the number of compounding periods per unit of time
t = the number of time units the money is invested or borrowed for
(a) If you invest $9,500 per period for 13 years at 10 percent.
First, convert R as a percent to r as a decimal
r = R/100
r = 10/100
r = 0.1 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 9,500.00(1 + 0.1/1[tex])^{13}[/tex]
A = 9,500.00(1 + 0.1[tex])^{13}[/tex]
A = $32,796.58
(b). If you invest $9,500 per period for 50 years at 9 percent,
First, convert R as a percent to r as a decimal
r = R/100
r = 9/100
r = 0.09 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 9,500.00(1 + 0.09/1[tex])^{50}[/tex]
A = $706,396.44
Therefore, the amounts are$32,796.58 and $706,396.44.
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Zachary invests $400 into an account that earns 3.5% simple interest for 5 years. He does not make any other deposits or withdrawals.
At the end of 5 years, Zachary invests the entire account balance into a different account that earns 5% simple interest. He leaves the money in the account for 2 years without making any additional deposits or withdrawals.
What is the new account balance at the end of 2 years?
The new account balance at the end of 2 years is $517.
Simple interest
5 yearsUsing this formula I= (P+r×t)
Where: I=Interest=?
P=Principal=$400
r=Interest rate=3.5%
t=Time=5 years
Hence: I= ($400×0.035 x 5) which makes I= $70
2 years
I=Interest=?
P=Principal=$470
r=Interest rate=5%
t=Time=2 years
I=($470+0.05×2) which makes I=$47
New balance:
New balance=$400+$70+$47
New balance=$517
Inconclusion the new account balance at the end of 2 years is $517.
1) Ryan buys a sofa for £2500 plus VAT at 20%
a) What is the total price of the sofa?
The total price of the sofa is £3000.
Step-by-step explanation:1. Calculate the amount to pay for VAT.To calculate this, multiply the given amount by "0.2", which equals "20%".
[tex]2500*0.2=500[/tex]
2. Add up the two number to find the total amount due.[tex]2500+500=3000[/tex]
3. Conclude.The total price of the sofa is £3000.
-------------------------------------------------------------------------------------------------------
Alternative (and also easier) method.So if we want to add 20% of any amount to said amount, we may multiply it by (1+0.2), which equals "1.20", and it'll give us the result immediately:
[tex]2500*(1+0.2)\\ \\2500*1.2=3000[/tex]
Now, working on the opposite way, let's say we want to reduce that same number (2500) by 25%, maybe because there's a discount on the product. In that case, we must multiply by (1-0.25), which equals 0.75:
[tex]2500*(1-0.25)\\ \\2500*(0.75)=1875.[/tex]
Given :-
Ryan buys a sofa for £2500 .VAT is 20% .To Find:-
Total price of the sofa.Solution:-
Here we are given that Ryan purchases a sofa for £2500 . In order to find the cost of sofa after VAT , find 20% of the price of the sofa,
20% of £2500
20/100 * £2500
£500
Now add this to the original price of the sofa,
£2500 + £500
£3000
Hence the cost of the sofa after VAT is £3000 .
Many fire stations handle emergency calls for medical assistance as well as calls requesting firefighting equipment. A particular station says that the probability that an incoming call is for medical assistance is 0.63. This can be expressed as
P(call is for medical assistance) = 0.63.
(b) What is the probability that a call is not for medical assistance?
(c) Assuming that successive calls are independent of one another, calculate the probability that two successive calls will both be for medical assistance.
(d) Still assuming independence, calculate the probability that for two successive calls, the first is for medical assistance and the second is not for medical assistance.
(e) Still assuming independence, calculate the probability that exactly one of the next two calls will be for medical assistance. (Hint: There are two different possibilities. The one call for medical assistance might be the first call, or it might be the second call.)
(b) The probability that the call is not for medical assistance = 0.37
(c) The probability that two successive calls will both be for medical assistance = 0.3969
(d) The probability that the first is for medical assistance and the second is not for medical assistance = 0.2331
(e) The probability that exactly one of the next two calls is going to be for medical assistance = 0.4662
Define Probability.The probability of an event is the proportion of favourable outcomes to all other possible outcomes. The symbol x can be used to denote how many successful outcomes there were in an experiment with 'n' outcomes. The formula below can be used to determine a given event's probability:
Probability (Event) = Positive Results/Total Results
= x/n
Given P (call for medical assistance) = 0.63
This means that out of all incoming calls to the fire station, the probability that the call is for medical assistance is 0.63 or 63%. The complement of this event, which is the probability that an incoming call is NOT for medical assistance, is:
P (Not Medical Assistance) = 1 - P (Medical Assistance)
= 1 - 0.63
= 0.37
Now, assuming that successive calls are independent of one another, the probability that two successive calls will both be for medical assistance will be:
P (2 calls for medical assistance)
= 0.63 × 0.63
= 0.3969
The probability that the first is for medical assistance and the second is not for medical assistance will be:
P (1st for medical assistance × 2nd for not medical assistance)
= 0.63 × 0.37
= 0.2331
The probability that exactly one of the next two calls is going to be for medical assistance will be:
P (Exactly 1 call for medical assistance)
= (0.63×0.37) + (0.63×0.37)
= 0.2331 + 0.2331
= 0.4662
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Just need help with this question..
Graph appears to intersect the X axis in between 20 and 22 and algebraically the estimate of zero is 21.
What are Linear Equations?Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.
Given a linear function which represents the profit of Bethany, y after x hours of dog walking.
(a) From the graph, we have to estimate the zero.
The graph seems to intersect the X axis in between 20 and 22, approximately 21.
(b) To solve this algebraically, we have the profit function,
y = 23x - 480
When y = 0,
23x - 480 = 0
23x = 480
x = 20.87 ≈ 21
Hence the graphical method gives the same estimate as the algebraic method.
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Use a definition, postulate, or theorem to find the value of x in this figure described.
Y is the midpoint of XZ. If XZ = 6x-2 and YZ = 2x + 2, find x.
Select each definition, postulate, or theorem you will use.
A Segment Addition Postulate
B definition of segment bisector
C Linear Pair Theorem
D definition of a midpoint
The solution is x =__?
Thus, the value of x is 1.
What is midpoint ?The description that will be used to break this problem is D description of a midpoint.
By description, a midpoint is a point on a line member that divides it into two equal corridor. thus, Y is the midpoint of XZ, which means that XY is equal in length to YZ.
Using the Member Addition hypothetical( A), we can write
XZ = XY YZ
Substituting the values given in the problem, we get
x- 2 = XY 2x 2
Simplifying this equation, we get
x- 2 = XY 2x 2
4x = 4
x = 1
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In a population of 6000 cave-dwelling fish, eyesight is under selection. Fish that are homozygous for allele A1 have good eyesight, fish that are homozygous for A2 are blind and fish that are heterozygous have poor eyesight. In the dark caves that these fish live in, the cost of good eyesight is higher than the benefits and having good eyesight is thus deleterious. Blind fish have a selective advantage of 0.25, fish with poor eyesight have a selection coefficient of 0.05. Which statement is true?
I. Fish with good eyesight have a fitness W = 0
II. The trait blindness is likely to increase in this population
I
II
Both are false
Both are true
Answer: I am in high school so this may not be the best answer, but I would say that eventually eye sight would simply become useless to the fish because they live in a cave and don’t really need to see, there for I would say that the second answer is correct.
You just got your first job and are planning on renting your own apartment. What steps should you follow to help make this process easier?
Answer:
Determine Your Budget.
Check Your Credit.
View Multiple Rentals.
Consider Roommates.
Consider a Cosigner.
Gather Your References.
Check Out the Neighborhood.
Check All the Websites.
PLEASE HELP!
Over the course of 24 hours, the tides on Earth complete one full cycle from low tide to high tide and back down again. On one particular beach, the tide drops to 2 feet below sea level for low tide and reaches 4 feet above sea level for high tide. Write a possible trigonometric function that would model the tide situation for
this beach.
Answer:picture is not clear on my side, please re-upload thx!
Step-by-step explanation:
let x be a random variable taking values [0, 1, 2, 3] with respective probabilities [0.2, 0.5, 0.2, 0.1] (a) determine the expectation of x. (show work)
A total of 23800 cubes can fit inside the box of the given dimensions.
What is the volume of cube?The volume of a cube is given by -
Volume = a x a x a = a³
Given is that a box has a length of 10 inches, a width of 8[tex]\frac{3}{4}[/tex] inches, and a height of 4[tex]\frac{1}{4}[/tex] inches.
The volume of the box would be -
V = 10 x 8[tex]\frac{3}{4}[/tex] x 4[tex]\frac{1}{4}[/tex]
V = 10 x 35/4 x 17/4
V = 371.875 inches³
The volume of cube -
v = 1/4 x 1/4 x 1/4
v = 0.015625 inches³
Number of cubes that will fill the box would be -
n = V/v
n = 371.875/0.015625
n = 23800
Therefore, a total of 23800 cubes can fit inside the box of the given dimensions.
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Jim, an artist, plans to paint and sell some miniature paintings. He just bought some brushes
for $1, and paint and canvas for each painting costs $44; he will sell each painting for $45.
Once Jim sells a certain number of his paintings, he will be breaking even. How much will Jim
have earned? How many paintings will that be?
Answer:
Step-by-step explanation:
Let's begin by calculating Jim's total cost for creating one painting:
Cost of paint and canvas + Cost of brushes = $44 + $1 = $45
This means that Jim makes a profit of $45 - $45 = $0 per painting sold until he breaks even.
To determine how many paintings Jim needs to sell to break even, we can set up an equation:
Total Cost = Total Revenue
Let's say Jim sells x paintings. Then his total revenue would be:
Total Revenue = $45x
His total cost would be the cost of materials plus the cost of brushes multiplied by the number of paintings:
Total Cost = $45 + $1)x = $46x
Setting these equal, we get:
$46x = $45x
Solving for x, we get:
x = 45
So Jim needs to sell 45 paintings to break even.
Once he has sold 45 paintings, he will have earned:
Total Revenue = $45 x 45 = $2025
So Jim will have earned $2025 after selling 45 paintings.
Answer:
Step-by-step explanation:
To break even, Jim's total revenue from selling his paintings should be equal to his total cost of producing them, including the cost of materials and the cost of the brushes. Let's call the number of paintings he needs to sell to break even as "x".
The cost of producing each painting is $44 + $1 = $45.
The revenue from selling each painting is $45.
So, Jim's total revenue from selling x paintings would be:
Total revenue = Price per painting x Number of paintings sold
Total revenue = $45 x x
Total revenue = $45x
Jim's total cost of producing x paintings would be:
Total cost = Cost per painting x Number of paintings produced + Cost of brushes
Total cost = $45 x x + $1
Total cost = $45x + $1
For Jim to break even, his total revenue must equal his total cost:
Total revenue = Total cost
$45x = $45x + $1
Solving for x:
$45x - $45x = $1
0 = $1
This is a contradiction, meaning that the situation is impossible. It is impossible for Jim to break even by selling his paintings at the given prices. If he sells each painting at $45, which is the same price he paid to produce it, he will not make any profit. In fact, he will lose $1 for every painting he sells due to the cost of the brushes.
If Jim wants to break even or make a profit, he will need to increase the selling price of his paintings or find ways to reduce the cost of producing them.
Solve the equation |2x-3| =7
Smallest Solution:
Greatest Solution:
Answer:
5 or -2
Step-by-step explanation:
|2x-3| can equal either (2x-3) or -(2x-3) thus
(2x-3) = 7
2x = 10
x = 5
-(2x-3) = 7
-2x = 4
x = -2
Answer: it’s 5 or -2, |2x-3| can equal either (2x-3) or -(2x-3) thus(2x-3) = 72x = 10x = 5-(2x-3) = 7-2x = 4x = -2
Step-by-step explanation: hope this helps0^0
PLEASE HELPPP!!!! DUE IN 2 HOURSS!!!!!
The current population of Algeria is 38 million
How to determine the current population of AlgeriaFrom the question, we have the following parameters that can be used in our computation:
P = 38(1 + r)^t
In the initial year, we have
t = 0
Substitute the known values in the above equation, so, we have the following representation
P = 38(1 + r)^0
Evaluate
P = 38
Hence, the population is 38 million
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The point (7,-9) lies on a circle. What is the length of the radius of this circle if the center is located at (5,-7)
I think the radius would be 2
Can you please solve and see which one is a function and which one is not a function
For each relation, we would determine whether or not it is a function as follows;
Relation 1 is: B. not a function
Relation 2 is: B. not a function.
Relation 3 is: B. not a function
Relation 4 is: A. a function.
How to determine the relations that represent functions?In Mathematics, a function is generally used for uniquely mapping an independent value (domain or input variable) to a dependent value (range or output variable).
This ultimately implies that, an independent value (domain) represents the value on the x-coordinate of a cartesian coordinate while a dependent value (range) represents the value on the y-coordinate of a cartesian coordinate.
Based on relations 1, 2, and 3, we can logically deduce that they do not represent a function because their independent value (domain) has more than one dependent value (range).
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A central angle is an angle whose vertex is at the center of a circle. Find the AOC
I. The correct statement is: m<AOB = m<BOC
The measures of the angles are:
II. m<BOC = 53 degrees.
III. m<AOC = 106 degrees.
How to Find the Measure of a Central Angle?When a segment bisects an angle, it forms two equal angles. Therefore, we have following which explains how to find the measure of the given central angle.
I. <AOC is bisected by segment OB into: AOB and BOC, which are equal. Therefore:
m<AOB = m<BOC
II. m<AOB = 53 degrees, therefore,
m<BOC = 53 degrees.
III. m<AOC = 2(53)
m<AOC = 106 degrees.
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GROUP 'D' (4×5=20) A person purchases a piece of land in Rs.80, 00,000 in 2075 B.S. At the same time of 2075 B.S. a house is constructed on a piece of land in Rs. 2,70,00,000. If the price of land increases at the rate of 20% per annum and the price of house depreciates at the rate 20% per annum. After how many years the price of land and the price of house will be equal? Find it. combined solid is formed with the combination of hemisphere and cone having radius
After 2.5 years the price of land and the price of house will be equal.
What is Simple interest?A quick and easy method of calculating the interest charge on a loan is called a Simple interest.
Given that;
A person purchases a piece of land in Rs.80, 00,000 in 2075 B.S.
And, At the same time of 2075 B.S. a house is constructed on a piece of land in Rs. 2,70,00,000.
Since, The price of land increases at the rate of 20% per annum.
Hence, We get;
A = 80,00,000 (1 + 20/100)ⁿ
And, The price of house depreciates at the rate 20% per annum.
Hence, We get;
A = 2,70,00,000 (1 - 20/100)ⁿ
Let after n years the price of land and the price of house will be equal.
Thus, We get;
80,00,000 (1 + 20/100)ⁿ = 2,70,00,000 (1 - 20/100)ⁿ
8 (120/100)ⁿ = 27 (80/100)ⁿ
8 (6/5)ⁿ = 27 (4/5)ⁿ
Take log both side,
log 8 + n (log 6 - log 5) = log 27 + n (log 4 - log 5)
0.9 + n × 0.8 = 1.4 + n × 0.6
0.9 + 0.8n = 1.4 + 0.6n
0.2n = 0.5
n = 2.5 years
Therefore, After 2.5 years the price of land and the price of house will be equal.
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Find the area of the blue-shaded region. Please help I need it asap. The answer is 20.0m squared I cannot figure out the work for it
The area of the blue-shaded region is 19.95 m²
What is area?Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.
Given that, a rectangle with length 14 m, and diagonal 15.5 m, a parallelogram has been cut out of it, we need to find the area remaining,
Using the Pythagoras theorem,
15.5² = 14²+w² [width]
w² = 240.25-196
w² = 44.25
w = 6.65
Therefore, the width of the rectangle is 6.65 m
That mean, the height of the parallelogram is 6.65 m,
The area of the blue-shaded region, is calculated by subtracting the area of the parallelogram by the area of the rectangle,
Area of the remaining region = 14×6.65-11×6.65
= 6.65(14-11) = 6.65×3
= 19.95 m²
Hence, the area of the blue-shaded region is 19.95 m²
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Help me I will mark brainliest!!!!
The area of a circle with a diameter of radius 14 inches is given as follows:
A = 153.86 inches².
What is the area of a circle?The area of a circle of radius r is given by π multiplied by the radius squared, as follows:
A = πr².
The radius, representing the distance between the center and a point on the circumference of the circle, has the measure defined as half the diameter, hence it is given as follows:
r = 7 inches.
Hence the area of the circle with radius of 7 inches is given as follows:
A = 3.19 x 7²
A = 153.86 inches².
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Use the diagram to complete the statement.
The length of CF is solved to be 12
How to find CFIn the figure the value of CF is solved using the vertical angle theorem and sum of angles in a triangle
In triangle GBC
angle C = 180 - 90 - 45
angle C = 45
Using vertical angle theorem
angle DCB = angle DCF
Using trigonometry relation we have
cos 45 = CF / 12√2
CF = cos 45 * 12√2
CF = 12
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Use this table to answer the question. Round to 2 decimal places.
Car Plane Train Total
Green 120 250 500 870
Blue 150 350 750 1250
Yellow 170 200 450 820
Red 200 300 300 800
Brown 220 450 320 990
Total 860 1550 2320 4730
What percent of the total are made up of Yellow Trains?
Therefore, Yellow Trains make up 9.5% of the total modes of transportation in the table.
It's unclear what the percentages mean.A percentage that corresponds to one tenth of an amount. One percent, represented by the symbol 1%, is equivalent to one hundredth of something; hence, 100 percent represents the complete object, and 200 percent represents twice the amount given.
According to the table:
The total number of Yellow Trains is 450.
The total number of all modes of transportation is 4730.
To calculate the percentage of the total that Yellow Trains make up, we can use the following formula:
percentage = (part/whole) x 100
Substituting the values we have:
percentage = (450/4730) x 100
percentage = 0.095 x 100
percentage = 9.5%
Therefore, Yellow Trains make up 9.5% of the total modes of transportation in the table.
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Fill in the blanks:
1) If tan x= -2.5, then tan (-x)= ___
2) If sin x= 0.4 then sin (-x)= ___
3) If cos x = 0.9 then cos (-x)= ___
4) If tan x = 1.5 then tan (pi+x)= ___
Trigonometric functions have some interesting symmetry properties
If tan x= -2.5, then tan (-x)= 2.5 and If sin x= 0.4 then sin (-x)= -0.4
If cos x = 0.9 then cos (-x)= 0.9 If tan x = 1.5 then tan (pi+x)= -1.5
Trigonometric Functions and Their Symmetry PropertiesTrigonometric functions are mathematical functions that are widely used in various fields, including mathematics, physics, and engineering. The most commonly used trigonometric functions are sine, cosine, and tangent, which are abbreviated as sin, cos, and tan, respectively.
Trigonometric functions have some interesting symmetry properties. For example, the sine and tangent functions are odd functions, which means that sin(-x) = -sin(x) and tan(-x) = -tan(x). On the other hand, the cosine function is an even function, which means that cos(-x) = cos(x).
These symmetry properties have important implications in many applications of trigonometric functions. For example, if we know the value of sin(x), we can immediately determine the value of sin(-x) by using the odd symmetry property. Similarly, if we know the value of cos(x), we can determine the value of cos(-x) by using the even symmetry property.
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Diameter(a) is 20 cm and diameter(b) is 5. What is the ratio of circumference(a) to circumference(b)?.
Answer:
5:1
Step-by-step explanation:
d_a = 20
d_b = 5
Equation for the circumference of a circle:
C = pi*d
C_a = pi * d_a
C_a = pi*20
C_b = pi * d_b
C_b = pi * 5
Ratio of C_a to C_b = C_a/C_b
C_a/C_b = (pi * 20)/(pi * 4) = 5:1
Somebody help me please!!!!
Point F is on the line segment EG. Given EG=5x+7, EF=5x, and FG=2x-7, determine the numerical length of FG.
Answer:
[tex]\text{Numerical length of $\overline{FG}$ = 7}[/tex]
Step-by-step explanation:
We are given the following data:
[tex]EG = 5x + 7\\EF = 5x\\FG=2x-7\\[/tex]
Point F is the line segment [tex]\overline{EG}[/tex]
So F is between E and G
We get the relationship
EG = EF + FG
→ 5x + 7 = 5x + (2x - 7)
→ 5x + 7 = 5x + 2x - 7
→ 5x + 7 = 7x - 7
Moving x terms to the left and the constant 7 from left to the right gives
→ 5x - 7x = -7 +(-7)
→ -2x = -14
→ x = -14/-2 = 7
Therefore length of FG = 2x - 7
= 2(7) - 7
= 14 - 7
= 7