Igor has not been skiing in 10 years. however, when he gets on his skis, his body remembers exactly how to ski. the kind of memory that makes it possible for him to remember how to ski is:__________
Igor has not been skiing in 10 years. however, when he gets on his skis, his body remembers exactly how to ski. the kind of memory that makes it possible for him to remember how to ski is procedural.
What is procedural memory?Procedure memory exists a kind of implicit memory (unconscious, long-term memory) that helps people carry out particular tasks without thinking about their previous experiences. It frequently resides below the consciousness level and controls the actions we take. The automatic retrieval and use of procedural memories, which are relied upon when appropriate, is necessary for the execution of integrated motor and cognitive functions, such as tying shoes, reading, and flying an airplane. Procedural memories are recovered and used without any conscious control or attention being needed. Procedural learning, or repeatedly completing a challenging activity until all required brain networks are able to coordinate to complete the job automatically, is how procedural memory is established.To learn more about procedural memory, refer to:
https://brainly.com/question/15170911
#SPJ4
The sum of an integer and 6 times the next consecutive integer is -50. Find the
value of the greater integer.
Answer:
Submit Answer
Dar
The value of the greater integer is -8.
Given,
The sum of an integer and 6 times the next consecutive integer = -50
We have to find the value of the greater integer:
Let's take x as the integer.
Next consecutive integer be (x + 1)
Now,
x + 6(x + 1) = -50
x + 6x + 6 = -50
7x + 6 = -50
7x = -50 - 6
7x = -56
x = -56/7
x = -8
The value of x is -8.
Now,
x + 1 = -8 + 1 = -7
That is,
-8 + (6 × -7) = -50
-8 -42 = -50
Here, the integers are of negative values.
So, the value of greater integer be -8.
Learn more about sum of integers here:
https://brainly.com/question/28551069
#SPJ1
What is the value of your total assets if you have a car worth $4,000, you owe $1500 on the car loan, and you have a baseball card collection valued at $750?
The total asset is $4750
How to find the total asset ?The worth of the car is valued at the worth of has $4000 and you he have a baseball card collection valued at $750.
The capital is also know as the equity which means the net worth.
Liabilities are everything a business owes, now and in the future.
Assets are everything a business owns. Assets may be current or fixed assets
Therefore,
Total Assets - Total Liabilities = Capital
Where
Base ball card collection = $750
Total assets = ?
Capital = $4000
Hence,
Total Assets = $4000 + $750
Total Assets = $4750
learn more on assets here: brainly.com/question/11695810
#SPJ1
Factor the polynomial by its greates
9b³ +24b³
||
Answer:
Step-by-step explanation:
=the highest common factor is [tex]3b^{3}[/tex]
therefore you can divide each and every term of the expression and take it out of the brackets.
[tex]=3b^{3} (3+8)\\=3bx^{3} (11)[/tex]
Although I still see no use of factorising because there are only like times that is what I put on table. Please ask if you have questions
What is the sum of the polynomials? 1.3t3 t2 â€"" 42t 8 1.3t3 t2 â€"" 6t 8 1.9t3 8.4t2 â€"" 42t 1.9t2 â€"" 42t 8
The sum of the polynomials is [tex]\bold{4.5t^3 + 12.3t^2-132t+24}[/tex].
Given polynomials are:
[tex]1.3t^3+t^2-42t+8\\ 1.3t^3+t^2-6t+8 \\1.9t^3+8.4t^2-42t \\1.9t^2-42t+8[/tex]
To find the sum of the polynomials, add the coefficients of the terms of same degree in each polynomials. That is add the terms containing [tex]t^3[/tex] , then terms of [tex]t^2[/tex], then terms of t and finally the constant terms of the polynomials.
So we get, [tex](1.3t^3+t^2-42t+8)+(1.3t^3+t^2-6t+8 )+(1.9t^3+8.4t^2-42t )+(1.9t^2-42t+8)\\ = (1.3+1.3+1.9)t^3+(1+1+8.4+1.9)t^2+(-42-6-42-42)t+(8+8+8)\\=\bold{4.5t^3 + 12.3t^2-132t+24}[/tex]
Learn more about sum of polynomials at https://brainly.com/question/3965448
#SPJ4
on Tuesday the shop receives x cents by selling bottles of water at 45 cents each. In terms of x, how many bottles were sold
the bottles were sold equal x / 45
oiytrewsdfvbnmoijhugytfr
Answer:
kribble
Step-by-step explanation:
Answer: rftyguhjiomnbvfdswertyio
Step-by-step explanation:
pyploliguatd
If Leroy made 9 more penalty kicks than he missed how many penalty kicks did he make
The total number of penalty kicks is 9+ 2y where the penalties made is x and the penalties missed is y
How to determine how many penalty kicks he made?The given parameters are:
Leroy made 9 more penalty kicks than he missed
Represent the penalties made with x and the penalties missed with y
So, we have
x = 9 + y
The total number of penalty kicks is then calculated as
Total = x + y
This gives
Total = 9 + y + y
Evaluate
Total = 9+ 2y
Hence, the total number of penalty kicks is 9+ 2y where the penalties made is x and the penalties missed is y
Read more about equation at
https://brainly.com/question/148035
#SPJ1
Given g(x) = −4x + 4, identify the domain, range, and x-intercept of the function.
pls ill award u need fast PLEASEEEE
The domain, range and x-intercept of the given function are (-∞,∞), (-∞,∞) and (1,0) respectively.
What is domain, range, and x-intercept of the given function?Given the function in the question;
g(x) = −4x + 4
The domain of the expression is all real numbers except where the expression is undefined.
For -4x + 4, there is no real numbers that makes the expression undefined.
Hence, domain is (-∞,∞).
Also, the range is the set of all valid y-values.
The range is (-∞,∞).
For the x-intercept, substitute 0 in place of y or g(x) in the given function and solve for x.
g(x) = −4x + 4
0 = −4x + 4
4x = 4
x = 4/4
x = 1
Hence, the x-intercept in point form is (1,0)
Therefore, the domain, range and x-intercept of the given function are (-∞,∞), (-∞,∞) and (1,0) respectively.
Learn more about domain and range here: brainly.com/question/10197594
#SPJ1
Δ A B C is a right isosceles triangle with hypotenuse AB. M is the midpoint of AB. Write a coordinate proof to show that CM is perpendicular, to AB.
It is proved that CM will be perpendicular to AB if M is midpoint of AB.
It is given that ΔABC is a right isosceles triangle with hypotenuse AB and M is midpoint of AB.
We have to prove that CM is perpendicular to AB.
What is an isosceles triangle ?
An isosceles triangle ΔABC is a triangle that has at least two sides of equal length i.e., AC= BC
As per the question ;
ΔABC is a right isosceles triangle with hypotenuse AB.
⇒ AC = BC (by the definition of isosceles triangle)
Also ;
M is midpoint of AB.
⇒ CM = CM (reflexive property)
So ;
ΔACM ≅ Δ BCM (by SSS)
∠A = 45° and ∠B = 45° because of right isosceles triangle.
Also ;
∠ACM = ∠BCM
because they are corresponding angles of congruent triangles
i.e.,
∠ACB = 90°
Now ;
∠ACM + ∠BCM = ∠ACB
because they are adjacent angles.
∵
∠ACM = ∠BCM , so ;
∠ACM + ∠ACM = ∠ACB
2∠ACM = 90°
∠ACM = 45 °
∵
∠A = 45 ° and ∠ACM = 45°
⇒ ∠AMC = 90°
because the sum of angles in a triangle is 180°.
So ,
If ∠AMC = 90° , then CM is perpendicular to AB because perpendicular lines form 90° angles.
Thus , CM will be perpendicular to AB if M is midpoint of AB.
To learn more about right isosceles triangle click here ;
https://brainly.com/question/15488885
#SPJ4
A bakery sells an average of 14 dozen cupcakes a day to about 50 customers. what is their average sale rate, in cupcakes per customer?
i also need the answer really quick!!!
Answer:
3.36
Step-by-step explanation:
→ How much is a dozen
12
→ Multiply by 14
168
→ Divide by 50
168 ÷ 50 = 3.36
Two people quit work and begin college at the same time. Their salary and education information is given in the table below.
Salary prior to school
Years attending college
Total cost of college
Salary upon graduating
Person A
$18,000
3
$45000
$33,000
Person B
$27,000
4
$30,000
$37,000
Choose the true statement.
a.
Person A recovers their investment in a shorter amount of time.
b.
Person B recovers their investment in a shorter amount of time.
c.
They recover their investments in the same amount of time.
d.
There is too little information to compare the time to recover their investments.
Person B recovers their investment in a shorter amount of time.
What is the recovery time?In order to determine the recovery time, divide the total cost of college by the salary that is earned after graduating from college.
Division is the process of grouping a number into equal parts using another number. The sign used to denote division is ÷. Division is one of the basic mathematical operations.
Recovery time = cost of college / salary after college
Recovery time for person A = $45,000 / $33,000 = 1.36
Recovery time for person B = $30,000 / $37,000 = 0.81
To learn more about division, please check: https://brainly.com/question/13281206
#SPJ1
can someone help me please
The value in the missing place is 10 after plugging the value of F = 0.833; the answer is 10.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
0.83 = F
0.83 is a repeating decimal
Multiply by 10 on both sides:
10x0.83 = Fx10
8.33 = ? F
Plug F = 0.833
8.33 = ? (0.833)
? = 0.833/0.833
? = 10
8.33 = (10) F
Thus, the value in the missing place is 10 after plugging the value of F = 0.833; the answer is 10.
Learn more about the fraction here:
brainly.com/question/1301963
#SPJ1
Compute the mean and variance of the following probability distribution. (round your answers to 2 decimal places.) x p(x) 7 0.10 14 0.20 21 0.25 28 0.45 click here for the excel data file
The mean of the probability distribution is 21.35 and the variance of the probability distribution is 51.3275
Given the probability distribution with values of x and corresponding P(x). We need to find the values of [tex]x^2[/tex], x P(x), [tex]x^2[/tex] P(x) to calculate mean and variance.
x P(x) [tex]x^2[/tex] x P(x) [tex]x^2[/tex] P(x)
7 0.10 49 0.7 4.9
14 0.20 196 2.8 39.2
21 0.25 441 5.25 110.25
28 0.45 784 12.6 352.8
-----------------------------------------------------
∑x P(x) = 21.35
∑[tex]x^2[/tex] P(x) = 507.15
Mean = ∑x P(x) = 21.35
and variance = ∑[tex]x^2[/tex] P(x) - [tex](\sum x\ P(x) )^2[/tex] = 507.15 - 455.8225 = 51.3275
Learn more about mean and variance at https://brainly.com/question/25639778
#SPJ4
A project has a critical path with a duration of 20 weeks and a standard deviation of 4 weeks. There is a 35% chance the project will be completed in x weeks or less. What is x? select the closest answer.
According to the question, a project has a duration of [tex]20[/tex] weeks and a standard deviation of[tex]4[/tex] weeks. And the calculated weeks to complete the [tex]35[/tex] percent work is [tex]18.4[/tex].
As per question, the critical path is the longest path from start to finish. It tells the minimum time required to finish the assigned project.
As per the question, the given data is as follows:
Time Duration = [tex]20[/tex] weeks, Standard Deviation = [tex]4[/tex] weeks, Completion = [tex]35[/tex] percent
[tex]Z = \frac{S-T}{var} =18.4[/tex]
The solution for the given question is [tex]18.4[/tex].
What is the critical path?
The critical path is the path for the assigned work and it is the longest path. This phenomena is used to calculate the minimum time for the project completion.
To learn more about the critical path from the given link:
https://brainly.com/question/15091786
#SPJ4
A projectile’s motion can be modeled by the quadratic equation: h left parenthesis t right parenthesis space equals space minus g t squared space plus space v subscript 0 t space plus thin space h subscript 0 g is 16 if in feet and 9 if in meters;; t = time in second elapsed from release of projectile; v0= initial velocity; h0 = initial height. Write the equation for a projectile that is dropped (v0 = 0) from a height of 100 ft. When will it hit the ground? Change the equation to reflect that the object is thrown upward from an initial height of 6 ft at 30 ft/sec. When will the object be back at the starting height? Hit the ground?
The projectile motion equation [tex]h(t) = - g \cdot {t}^{2} + v_{0}\cdot {t} + h_{0}[/tex], gives;
First part;
The object will hit the ground in 2.5 secondsSecond part;
The object will be back at the starting point in 1.875 secondsThird part;
The object will hit the ground in approximately 2.06 secondsHow can the projectile motion information be found?The quadratic equation that represents the projectile motion can be presented as follows;
[tex]h(t) = - g \cdot {t}^{2} + v_{0}\cdot {t} + h_{0}[/tex]
g = 16 ft./s² or 9 m/ s²
First part;
When
[tex] v_{0} = 0 \: and \: h_{0} = 100 \: ft.[/tex]
We have;
h(t) = -16•t² + 100
When the object hits the ground, we have;
h(t) = 0, which gives;
0 = -16•t² + 100
Therefore;
16•t² = 100
t² = 100 ÷ 16 = 25/4
t = √(25/4) = 5/2 = 2.5
The time it takes the object to reach the ground is 2.5 seconds.Second part;
The direction in which the object is thrown = Upwards
Initial height of the object, [tex] h_{0} = 6 \: ft[/tex]
Initial speed of the object, [tex] h_{0} = 30 \: ft/sec[/tex]
The equation of the projectile motion is therefore;
h(t) = -16•t² + 30•t + 6
Which gives;
When the object is at its starting height of 6 feet, h(t) = 6, which gives;
6 = -16•t² + 30•t + 6
-16•t² + 30•t = 0
A solution to the above equation is t = 0
The other solution is found as follows;
-16•t² + 30•t = 0
-16•t + 30 = 0
30 = 16•t
t = 30/16 = 1.875
The object will be back at the starting height at 1.875 secondsThird part;
When the object hits the ground, we have;
h(t) = 0, which gives;
0 = -16•t² + 30•t + 6
Which gives;
t ≈ 2.06
The time it takes the object to reach the ground is 2.06 secondsLearn more about projectile motion here:
https://brainly.com/question/14523670
#SPJ1
Find the distance between pair of parallel lines with the given equations.
y=2x+3 y=2x-7
The distance between pair of parallel lines with the following equation
y=2x+3 y=2x-7 [tex]2{\sqrt 5}[/tex] units
Definition of parallel linesParallel lines are any two or more lines that lie in the same plane but never cross one another. Both have the same slope and are equally distant from one another. No matter how far we extend a parallel line, it will always remain straight.
The fundamental characteristics listed below make it simple to recognize parallel lines.
Straight lines which are always the same distance apart from one another are known as parallel lines.No matter how far apart they are from one another, the parallel lines can never intersect.The slope of a line which is perpendicular to both the lines will be [tex]-\frac{1}{2}[/tex].
Check what are the y-intercept of any one of the two lines & write the equation of the perpendicular line through it.
The y-intercept of line y = 2x-7 is (0, -7).
So, the equation of any line with slope [tex]-\frac{1}{2}[/tex] and a y-intercept of −7 is
y = [tex]-\frac{1}{2}x-7[/tex]
The perpendicular intersects or meets the line y = 2x -7 at (0,-7).
Now, to find the point of intersection of the perpendicular & the other line, solve the two equations.
Solve for x:
2x + 3 = [tex]-\frac{1}{2}x-7[/tex]
[tex]\frac{5}{2} x[/tex] = -10 (combine them like terms)
x = -4 (multiply each side by 2\5)
Find y:
y = [tex]-\frac{1}{2}.(-4)-7[/tex]
= -5
so, the point is (-4,-5).
Now using the Distance Formula, find the distance between the points (-4,-5) and (0,−7).
[tex]{\displaystyle d={\sqrt {\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}}}[/tex]
[tex]={\sqrt {\left(0-(-4\right)^{2}+\left(-7-(-5\right))^{2}}}[/tex]
[tex]={\sqrt {4^2 +(-2)^2}}[/tex]
[tex]=2{\sqrt 5}[/tex]
Learn more about Parallel lines
https://brainly.com/question/4954460
#SPJ4
Question is attached, Please help me.
Answer:
in image
Step-by-step explanation:
A pair of parallel interstate gas power lines run 10 meters apart and are equally distant from relay station A. The power company needs to locate a gas-monitoring point on one of the lines exactly 12 meters from relay station A. Draw a diagram showing the locus of possible locations (there should be two.)
Explanation would be appreciated!
||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||\
2x_____=2x10^1=______ i need help please helpppppppppp
The expression is written as 2 × 10 = 2 x 10^ 1 = 20
What is index form?The index form of a number can be defined as that number written as an exponential expression.
It is also said to be a single number that is raised to another number.
Given the expression;
2x _____ = 2 x 10^ 1 = ______
Note that a number raised to the power 1 is that same number, so we have;
2 × 10
2 x 10^1 = 2 × 10
2 × 10 = 20
Thus, we have the expression to be written as 2 × 10 = 2 x 10^ 1 = 20
Learn more about index form here:
https://brainly.com/question/15361818
#SPJ1
Use the given information to determine whether LM is a perpendicular bisector, median, and/or an altitude of Δ J K L .
Δ J L M ≅ ΔK L M
LM is the perpendicular bisector, median, and altitude of Δ JKL.
Since Δ JLM ≅ ΔKLM, we can prove JM ≅ MK and [tex]\angle[/tex] LMJ ≅ [tex]\angle[/tex] LMK. Since [tex]\angle[/tex] LMJ ≅ [tex]\angle[/tex] LMK and they are a linear pair, then we know they are right angles and LM ⊥ JK.
What is meant by CPCTC?CPCTC is an abbreviation for "corresponding parts of congruent triangles are congruent," and it states that if two or more triangles are congruent, their corresponding angles and sides are also congruent.
CPCTC is frequently used at or near the end of a proof in which the student is asked to demonstrate that two angles or two sides are congruent. It means that if two triangles are proven to be congruent, the three pairs of sides that correspond must also be congruent, as must the three pairs of angles that correspond.
Since Δ JLM ≅ ΔKLM, we can prove JM ≅ MK and [tex]\angle[/tex] LMJ ≅ [tex]\angle[/tex] LMK. Since [tex]\angle[/tex] LMJ ≅ [tex]\angle[/tex] LMK and they are a linear pair, then we know they are right angles and LM ⊥ JK.
Therefore, we know that JM ≅ MK by CPCTC, making M the midpoint of JK. Therefore, LM is the perpendicular bisector, median, and altitude of ΔJKL.
To learn more about CPCTC refer to:
brainly.com/question/6076251
#SPJ4
Suppose a balloon is filled with 5000 cm³ of helium. It then loses one fourth of its helium each day. How much helium will be left in the balloon at the start of the tenth day?c. How can you write a formula for this sequence?
The sequence can be expressed by the formula: v(n) = 5000 . (3/4)ⁿ⁻¹. Helium left at the start of the 10th day is 375.42 cm³
1st day:
Helium is filled with 5000 cm³ of helium.
We can write v(1) = 5000 cm³
2nd day:
The balloon losses 1/4 of helium volume. In other word, the remaining volume of helium is:
(1 - 1/4) = 3/4 of its initial volume.
We can write:
v(2) = 3/4 . 5000 = 3750 cm³
We can continue this process:
v(3) = 3/4 . 3750 = 2812.5
Notice that each day remaining volume of helium forms a geometric sequence, with v(1) = 5000 and a common ratio (r) = 3/4.
Recall the formula for the nth term of a geometric sequence:
v(n) = v(1) . rⁿ⁻¹
To find the explicit formula, substitute v(1) = 5000 and (r) = 3/4:
v(n) = 5000 . (3/4)ⁿ⁻¹
Tenth day means n = 10. Substitute these parameters into the formula:
v(10) = 5000 . (3/4)¹⁰⁻¹
v(10) = 5000 . (3/4)⁹
= 375.42 cm³
Learn more about geometric sequence here:
https://brainly.com/question/23709259
#SPJ4
evaluate 16.6 -2.9.........................../
Answer: 13.7
Step-by-step explanation:
First you do 16.6 - 2 = 14.6 then you subtract 0.9 from 14.6, your equation would be 14.6 - 0.9 = 13.7
Hope This Helps!
Answer:
13.7
Step-by-step explanation:
Recipe a four minestrone soup requires 4 cups of tomatoes a different recipe recipe be for minestrone soup requires 14 cups of tomatoes which recipe requires more tomatoes how much more
Answer:
The recipe with 14 cups of tomatoes requires more tomatoes. This is because it needs 10 cups more of tomatoes than the recipe with 4 cups.
solve each proportion.
3/7=12/x
The value of x in the equation 3/7 = 12/x is equal to 28.
Proportion is a type of mathematical equation that is used to determine the value of the quantities that are not known by forming two equal ratios.
Ratios can be defined as an expression that is used to compare the size of two numbers in relationship to each other to determine how big is one number from the other.
The given proportion can be solved as follows:
3/7 = 12/x
3x = 12 × 7
3x = 84
If 3x is equal to 84, then x will be equal to:
x = 84/3
x= 28
Therefore, the proportion is solved as the value of x is found to be 28.
To learn more about proportion, click here:
https://brainly.com/question/19994681
#SPJ4
Help please??? Quick
Answer:2.5
Step-by-step explanation:
5/2=2.5
Please help with the question on the photo :)
Answer:
Explanation:
a) To work out the average or mean age we must first calculate the total age.
19 x 2 = 38
20 x 3 = 60
21 x 1 = 21
22 x 4 = 88
23 x 1 = 23
Total = 230
Then... Divide the number of players with this figure
Number of players = 2 + 3 + 2 + 4 + 1 = 11
230/11 = 20.9 is the average age of the players
b) We know the average will now be 22 and we know the number of players is now 12.
So... 22 x 12 = 264 (This will be the new total age of all the players)
We know the previous total was 230
So 264-230 = 34 (years old)
I hope this helps you! :)
The harmonic mean of two numbers a and b equals 2/ 1/a + 1 / b . As you vary the length of a violin or guitar string, its pitch changes. If a full-length string is 1 unit long, then many lengths that are simple fractions produce pitches that harmonize, or sound pleasing together. The harmonic mean relates two lengths that produce harmonious sounds. Find the harmonic mean for each pair of string lengths.
c. 3/4 and 3/5
The Harmonic Mean for the length of strings 3/4 and 3/5 is 2/3 .
Harmonic mean for 2 numbers "a" and "b" is denoted by
[tex]HM=\frac{2}{\frac{1}{a} +\frac{1}{b} }[/tex].
In the given question ;
Given that ;
the length of the first string is 3/4
Length of the second string is 3/5.
Substituting the values in the formula of harmonic mean
we get,
HM=[tex]\frac{2}{\frac{1}{\frac{3}{4} }+\frac{1}{\frac{3}{5} } }[/tex]
[tex]=\frac{2}{\frac{4}{3} +\frac{5}{3} }[/tex]
Taking LCM of denominator as 3 and solving further we get ;
[tex]=\frac{2}{\frac{5+4}{3} }\\ \\ =\frac{2}{\frac{9}{3} }[/tex]
Rewriting the complex fraction
=2*(3/9)
=6/9
On further simplifying we get ;
=2/3
Therefore , the Harmonic Mean for the length of strings 3/4 and 3/5 is 2/3 .
Learn more about Harmonic Mean here https://brainly.com/question/2879846
#SPJ4
in a school canteen, a cup of tea costs 80p. Write down an expression for the cost in pence of y cups of tea
The expression is f(y) = 80y.
We have a school canteen.
We have to write down an expression for the cost in pence of y cups of tea.
What is a function in Mathematics?A function in mathematics is a relation involving two variables, such that one variable is dependent on the other for its value.
According to the question -
Number of cups of tea = y
Cost of one cup = 80 pence.
Therefore, the function representing the cost in pence of y cups of tea =
f(y) = 80y
Hence, the expression is 80y.
To solve more questions on Expression modelling, visit the link below-
brainly.com/question/1833764
#SPJ1
Jenny is 12 years older than Steve, Five years ago, Jenny was four times older that Steve was then. How old are Jenny and Steve now?
say Steve is x ,then jenny will be x + 12
five years ago Steve's age was x - 5 and Jenny's age was x + 12 - 5= x + 7
since jenny was four times Steve's age 5 years ago the equation will be
x + 7 = 4(x - 5)
= x + 7 = 4x - 20
putting like terms together, we will have
4x - x = 20 + 7
= 3x = 27
this means 3x ÷ 3= 27 ÷ 3
x = 9
this means Steve is 9 years old and Jenny is 21 years old
