The vertex of the parabola [tex]y=4x^2-8x-12[/tex] is (1, -16).
To find the coordinates of the vertex of the parabola [tex]y=4x^2-8x-12[/tex], we can use the formula x = -b/2a, where a, b, and c are the coefficients of the quadratic equation.
In this case, a = 4 and b = -8.
Plugging these values into the formula, we get x = -(-8)/(2*4) = 1.
Now, we can substitute this value of x back into the equation to find the corresponding y-coordinate.
Plugging x = 1 into y = [tex]4x^2-8x-12[/tex], we get y = [tex]4*1^2 - 8*1 - 12 = -16[/tex].
Therefore, the vertex of the parabola is (1, -16).
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Final answer:
The vertex of the parabola [tex]y=4x^2-8x-12[/tex] is found by completing the square and transforming the equation into vertex form, resulting in the vertex coordinates at (1, -16).
Explanation:
To find the coordinates of the vertex of the parabola given by the equation [tex]y=4x^2-8x-12,[/tex] we use the fact that the vertex form of a parabola's equation is[tex]y=a(x-h)^2+k,[/tex]where (h, k) is the vertex of the parabola. In this case, we can complete the square to transform the given equation into vertex form. To do that, we can factor out the coefficient of [tex]x^2[/tex] from the first two terms:
[tex]y = 4(x^2 - 2x) - 12[/tex]
Now, we add and subtract the square of half the coefficient of x inside the parentheses, which is [tex](2/2)^2 = 1:[/tex]
[tex]y = 4(x^2 - 2x + 1 - 1) - 12[/tex]
[tex]y = 4((x - 1)^2 - 1) - 12[/tex]
[tex]y = 4(x - 1)^2 - 4 - 12[/tex]
[tex]y = 4(x - 1)^2 - 16[/tex]
Now that we have the equation in vertex form, we can see that the vertex of the parabola is at (1, -16).
PLEASE HELP! I NEED TO DO THIS!! FOR 15 POINTS!!
Identify the slope and a point from the equation:
My Answer was X = (5, -7)
I think I'm wrong, please help!!
Answer:
m = 1/2 point (5, -7)
Step-by-step explanation:
The equation is in point slope from
y - y1 = m(x-x1)
where m is the slope and (x1,y1) is a point on the line
y+7 = 1/2(x-5)
Rewriting
y - -7 = 1/2 (x - 5)
We can see that 1/2 is the slope and (5, -7) is a point on the line
Answer:
a)
Step-by-step explanation:
y - y1 = m(x - x1)
m = ½
Point: (5,-7)
#10 What is 15 meters
increased by 25%.
Answer:
18.75 meters
Step-by-step explanation:
Final answer:
To find 15 meters increased by 25%, multiply 15 by 0.25 to get 3.75 meters, then add this to the original length to obtain 18.75 meters.
Explanation:
To calculate a 15 meters increase by 25%, first determine what 25% of 15 meters is. You do this by multiplying 15 by the percentage in decimal form (25% = 0.25), so: 15 meters * 0.25 = 3.75 meters. Then, to find the new length, you add this to the original 15 meters to get the total.
15 meters + 3.75 meters = 18.75 meters. Therefore, 15 meters increased by 25% is 18.75 meters.
Step-by-step explanation:
Convert the percentage increase to a decimal: 25% → 0.25.
Multiply the original length by this decimal: 15 meters * 0.25 = 3.75 meters.
Add the increase to the original length: 15 meters + 3.75 meters = 18.75 meters.
To the nearest tenth percent, how many students played for exactly 4 hours?
Which is the correct classificatio
irrational number, 0.375
irrational number, 0,375
rational number, 0375
rational number, 0.375
Answer:
d
Step-by-step explanation:
D. Rational number, 0.375
I Got it Right
Hope i Helped ❤
Miles hs a piece of paper that is 1/4 of a large circle he cuts the paper int five equal parts from the center point of the circle what is the angle measure of each part
Answer: 18°
Step-by-step explanation:
From the question, Miles hs a piece of paper that is 1/4 of a large circle and he cuts the paper into five equal parts from the center of the circle.
The total angle of a circle is 360°. Since Miles caught 1/4 of the circle, this means that he'll have an angle of : 360° × 1/4 = 90°.
Then, he now cuts the paper into five equal parts. This means that we divide 90° by 5 which will give:
= 90° ÷ 5
= 18°
The angle measure of each part is 18°.
Answer:
18°
Step-by-step explanation:
Extracting the key information from the question:
*** Miles has paper that is 1/4 of a large circle.
*** He cut this paper into five equal parts.
*** We are required to calculate the angle measure of each part.
The sum of the angles in a circle is 360°. So I miles has 1/4 of a large circle, it means that the sum of the angles of this paper should be a quarter of 360°
= 1/4 × 360°
= 90°
Again, since he cuts the paper into five equal parts, we will find the angle measure of each part by dividing 90° by 5.
The angle measure of each
= 1/5 × 90°
= 18°
Therefore, each of the five parts of paper had an angle of 18°
Figure ABCD has vertices A(−3, 2), B(2, 2), C(2, −4), and D(−3, −2). What is the area of figure ABCD?
Answer:
30 units
Step-by-step explanation:
In order to find the side lengths, you can either draw it out, or imagine it in your head. I would recommend drawing it if you're unfamiliar to the topic.
So when you draw it out, you see that AB is the width of the rectangle, and BC is the length.
In order to calculate it, you'd have to keep in mind which direction each line goes. Since AB is horizontal, we would use the x coordinates to find the length. [tex]x_{1}[/tex]-[tex]x_{2}[/tex] is the formula, where A is [tex]x_{2}[/tex], since it is farther left.
width = 2 - (-3)
w = 5
Now, you'd do the same thing, but with BC, and [tex]y_{1}[/tex]-[tex]y_{2}[/tex]. In this case, B is [tex]y_{1}[/tex], since it is further up.
length = 2 - (-4)
l = 6
Now, multiply them to find the area of a rectangle.
5 x 6 = 30
I hope this helps!
A submarine dives as shown in the diagram.
To the nearest degree, determine the dive angle whose measure is x.
Answer:
Tan x = 125/500= 0.25
so x = arctan (0.25)
=14 degree
The measure of the diving angle is 14°.
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = Perpendicular / Hypotenuse
Cosec = Hypotenuse / Perpendicular
Cos x = Base / Hypotenuse
Sec x = Hypotenuse / Base
Tan x = Perpendicular / Base
Cot x = Base / Perpendicular
We have,
Sea level and 500 ft are parallel.
This means,
x° and end drive angles are alternate angles.
So,
tan x = 125/500
tan x = 0.25
x = [tex]tan^{-1}[/tex] (0.25)
x = 14°
Thus,
The measure of the diving angle is 14°.
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A bag contains 5 red balls 3 green beads and 2 blue beads if three beads are picked from the bag at radnom without replacement what is the probability that the beads that are picked are all different colors?
Answer:
1/4 or 0.25
Step-by-step explanation:
please kindly check the attached files for details
The roof of the house down the road is in the shape of a square pyramid. The length from the gutter to the top is ퟏퟓ풇풕.and the length of gutter on one side is ퟏퟖ풇풕.with no overlap. One bundle of shingles covers ퟐퟓsquare feet. How many bundles should you buy to cover
Answer:
Therefore, the number of bundles to be bought is 22 bundles
Step-by-step explanation:
Here we have;
Dimensions of roof
Square pyramid = 4 triangular sides
Base length of triangle = Length of gutter on one side = 18 ft
Height of triangle = Length from the gutter on one side to the top of the roof = 15 ft
∴ Area of one of the four triangles = 0.5 × Base × Height = 0.5 × 15 × 18 = 135 ft²
Total area of four sides of the pyramid = 4 × Area of one of the four triangles
∴ Total area of four sides of the pyramid = 4 × 135 ft² = 540 ft²
Area covered by one bundle of shingle = 25 ft²/bundle
Therefore number of bundles of shingles required = [tex]\frac{Total \, area \ of \, four \ sides \ of \ the \ pyramid}{Area \ covered \ by \ one \ bundle \ of \ shingle} = \frac{540 \ ft^2}{25 \ ft^2/bundle} = 21.6 \ bundles \approx 22 \ bundles[/tex]
Therefore, the number of bundles to be bought = 22 bundles.
Your family went out to eat. The total bill was
68.50. How much tip schools you leave using 15 percent.
The tiles below represent the polynomial, what is the factorization of 2x2 + 7x + 6
Answer:d
Step-by-step explanation: just factor it out
The factorisation of the given polynomial is (x+2)(2x+3). Therefore, option D is the correct answer.
The given polynomial is 2x²+ 7x + 6.
We need to factorise the given polynomial.
How to factorise the quadratic polynomials?In order to factorise a quadratic algebraic expression in the form ax² + bx + c into double brackets:
Multiply the end numbers together ( a and c ) then write out the factor pairs of this new number in order.We need a pair of factors that + to give the middle number ( b ) and x to give this new number.Group the terms and take common factors out.Now, 2x²+ 7x + 6=2x²+ 4x +3x+ 6
=2x(x+2)+3(x+2)
=(x+2)(2x+3)
Therefore, option D is the correct answer.
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Chef Selena is making her special dish that requires pasta, sauce, and onions.
She has 5 1/8 pounds of pasta, 6 pounds of sauce, and 47/8 pounds of onions.
How many servings of her dish can she make if each serving is 12 pounds?
Which two equations are needed to solve the problem?
Answer:
4/3 servings or her dish can be made
These are the 2 equations:
Total = 5 and 1/8 pounds + 6 pounds + 4 and 7/8 pounds
N = Total / 10
Step-by-step explanation:
We know 1 serving = 12 pounds
We want the number of servings able to make. call it N
N = (Total pounds)/ (12 pounds/serving)
P = pasta per serving
S = sauce per serving
O= onions per serving
It appears that
P*N = 5 and 1/8 pounds
S*N = 6 pounds
O*N = 4 and 7/8 pounds
5 and 1/8 + 6 + 4 and 7/8 = Total
16 pounds total.
N = 16/12 = 4/3 servings
Total = 5 and 1/8 pounds + 6 pounds + 4 and 7/8 pounds
N = Total / 10
Which expression is equivalent to log Subscript 2 Baseline 9 x cubed?
Answer:
log Subscript 2 Baseline 9 x cubed is equivalent to 2 log subscript 2 Baseline 3 + 3 log subscript 2 Baseline x
Step-by-step explanation:
Given:
log Subscript 2 Baseline 9 x cubed?
Required:
Find the equivalent of the above expression.
First, we need to represent it mathematically;
log Subscript 2 Baseline 9 x cubed = [tex]log_{2} 9x^{3}[/tex]
From Laws of logarithm
[tex]log_{x} AB = log_{x} (A* B)\\log_{x} AB = log_{x}A + log_{x}B[/tex]
Note how the expression is split into two
We'll apply the same logic above, here
First, is to simplify the mathematical expression;
[tex]log_{2} 9x^{3} = log_{2} (9 * x^{3})[/tex]
Then we split into two
[tex]log_{2} 9x^{3} = log_{2}(9) + log_{2}(x^{3})[/tex]
[tex]log_{2} 9x^{3} = log_{2}(3^2) + log_{2}(x^{3})[/tex]
Also from laws of logarithm,
[tex]log_{m}A^{n} = nlog_{m}A[/tex]
We'll apply this law on [tex]log_{2}(x^{3})[/tex] and [tex]log_{2}(3^{2})[/tex]
[tex]log_{2}x^{3} = 3log_{2}x[/tex]
[tex]log_{2}(3^2) = 2log_{2}3[/tex]
So, [tex]log_{2} 9x^{3} = log_{2}(9) + log_{2}(x^{3})[/tex] becomes
[tex]log_{2} 9x^{3} = 2log_{2}3 + 3log_{2}x[/tex]
log Subscript 2 Baseline 9 x cubed is equivalent to [tex]2log_{2}3 + 3log_{2}x[/tex]
[tex]2log_{2}3[/tex] can be represented as 2 log subscript 2 Baseline 3
and
[tex]3log_{2}x[/tex] can be represented as 3 log subscript 2 Baseline x
Hence, log Subscript 2 Baseline 9 x cubed is equivalent to 2 log subscript 2 Baseline 3 + 3 log subscript 2 Baseline x
Answer:
a) log2 9x^3
Step-by-step explanation:
got it right on edg
7 3/4 divide 1/3 kjkgcccccccccccccccffffffhhhhhhhhhhhhhhhhhhhhhhffffffffffffffhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhg
Answer:
23 1/4
Step-by-step explanation:
A bag contains 2 yellow marbles and 5 red marbles. Two marbles are drawn at random. One marble is drawn and not replaced. Then a second marble is drawn. What is the probability that the first marble is red and the second one is yellow?
The probability of drawing a red marble first and a yellow marble second is 5/21.
Explanation:To find the probability that the first marble drawn is red and the second one is yellow, we need to consider the total number of marbles and the number of red and yellow marbles in the bag.
Since we are drawing without replacement, the probabilities are dependent.
The probability of drawing a red marble on the first draw is 5/7. After the first marble is drawn, there are now 4 red marbles and 2 yellow marbles left in the bag. The probability of drawing a yellow marble on the second draw is 2/6.
Therefore, the probability of drawing a red marble first and a yellow marble second is (5/7) × (2/6) = 10/42 = 5/21.
Final answer:
The probability of drawing a red marble first and then a yellow marble from a bag with 2 yellow marbles and 5 red marbles is calculated by multiplying the probability of each event, giving a final answer of 5/21.
Explanation:
The calculation of the probability that the first marble is red and the second one is yellow when two marbles are drawn without replacement from a bag containing 2 yellow marbles and 5 red marbles involves step-by-step conditional probabilities.
Step 1: Calculate the probability of drawing a red marble first. Since there are 5 red marbles out of a total of 7 marbles, the probability is 5/7.
Step 2: Now that a red marble has been drawn and not replaced, there are 1 yellow marble less and 1 red marble less in the bag, making a total of 6 marbles. The probability of then drawing a yellow marble is 2/6, or 1/3.
Step 3: To find the combined probability of both events happening in sequence (a red marble first, then a yellow marble), multiply the individual probabilities: (5/7) * (1/3).
The final answer is therefore (5/7) * (1/3) = 5/21.
Johnny is trying to figure out how many miles he rode on his bike today.
He knows his bike uses wheels that are 30" tall, and it takes him 1 second
for it to make one complete revolution. If he rode for 1 hour and 11
minutes, how many miles did he ride? Use 3.14 for pi and round your
answer to the nearest mile.(Please note that 60 seconds = 1 minute, 60
minutes = 1 hour, 12" = 1 ft, and 5,280 ft = 1 mile).
PLEASE HELP !
Answer:
6 miles
Step-by-step explanation:
The time Johnny rode was ...
1 h 11 min = (60 min) +(11 min) = 71 min = 71 × (60 sec) = 4260 sec
The distance of one revolution of the bike tire is ...
C = πd = 3.14(30 in) = 94.2 in
So, the total distance Johnny rode was ...
(4260 sec)×(94.2 in/sec) = 401,292 in
__
We know there are 5280 feet in a mile, and each of those is 12 inches. So, the number of inches in a mile is ...
5280 ft = 5280×(12 in) = 63,360 in
__
The number of miles Johnny rode can be found by dividing the total distance by the distance in 1 mile:
(401,292 in)/(63,360 in/mile) = 6.33 mile
Johnny rode about 6 miles in 1 hour 11 minutes.
12(x-3)=10+2(6x-10)
The world population1 , in billions, was approximately , where is in years since April 20, 2014. At what rate was the world's population increasing on that date? Give your answer in millions of people per year, rounded to one decimal place.
Answer:
76.3 millions of people per year
Step-by-step explanation:
Missing text of the question:
"The world population1 , in billions, was approximately
[tex]P=7.17e^{0.01064t}[/tex]
where t is in years since April 20, 2014. At what rate was the world's population increasing on that date? Give your answer in millions of people per year, rounded to one decimal place."
Answer:
The expression that gives us the world population in billions t years after April 20, 2014 is
[tex]P=7.17e^{0.01064t}[/tex]
Where t is expressed in years.
Here we want to find the rate of change of this function at that date.
The rate of change of a function is given by its derivative. Therefore, we have to calculate the derivative of the function P, and the calculate its value at the date indicated.
The derivative of the function is:
[tex]P'(t)=7.17 \cdot 0.01064 e^{0.01064 t}=0.0763 e^{0.01064t}[/tex]
Now we want to find the rate of change at the date April 20, 2014, which means zero years after that date; so we have to substitute t = 0 into the expression of the derivative, and we find:
[tex]P'(0)=0.0763e^0 = 0.0763[/tex]
So, 0.0763 billions, which corresponds to 76.3 millions of people per year.
x^2+6x-15=0 solve by completing the square
For given equation x^2+6x-15=0, value of x is [tex]-3\pm 2 \sqrt{6}[/tex]
The "solutions" of an equation are referred to as the roots of the equation. Solutions are the numbers that, once the variable has been solved, are equal to it. We can use the discriminant formula to obtain the roots of quadratic equations.
The given equation [tex]x^2+6x-15=0\\[/tex] can be solved using discriminant method.
[tex]d=b^2 -4ac\\[/tex].......................1
[tex]x=-b\pm\sqrt{d}/2a[/tex].....................2
To calculate d,
Substitute a=1,b=6,c=-15 in eq 1.
[tex]d=6^2-4\times 1\times -15\\ d=96[/tex]
[tex]x=-6\pm \sqrt{96}/2\\x=-3\pm 2\sqrt6[/tex]
Thus, value of x is [tex]-3\pm 2 \sqrt{6}[/tex]
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Final answer:
x = -3 ±√24.
Explanation:
To solve the quadratic equation x²+6x-15=0 by completing the square, follow these steps:
First, move the constant term to the other side of the equation:
x² + 6x = 15.
Add the square of half the coefficient of x to both sides to complete the square: (6/2)² = 9, so add 9 to both sides resulting in x² + 6x + 9 = 24.
Now the equation is a perfect square on the left side:
(x+3)² = 24.
Take the square root of both sides to solve for x:
x+3 = ±√24.
Subtract 3 from both sides to find the values of x:
x = -3 ±√24.
What is the solution to the proportion 6/11 = m/121
Answer:
m=66
Step-by-step explanation:
Answer:
m=66
Step-by-step explanation:
If 5 candy bars cost $3 how much will 2 candy bars coast
Answer:
3.33 can i have brainliest
Step-by-step explanation:
5/3 = 1.6666666666...
1.6666666666..... X 2 = 3.333333.....
What are the solutions of 3(x – 4)(2x - 3) = 0?
Answer:
4 or 3/2
Step-by-step explanation:
The given equation is 3(x - 4) (2x - 3) =0
When we have 0 on the right hand side of given equation , we can compare two factors with 0 .
we can do this by :
(3×x - 3×4) (2x-3)=0
(3x-12)(2x-3)=0
either , (3x-12)=0
or,3x = 12
or, x = 12/3
or ,x = 4
now , comparing other factor:
(2x -3) =0
or, 2x = 3
or ,x=3/2
A presidential candidate plans to begin her campaign by visiting the capitals of 5 of the 50 states. If the five capitals are randomly selected without replacement, what is the probability that the route is Sacramento, Albany, Juneau, Hartford, and Bismarck, in that order?
Answer:
The probability is 1/254,251,200
Step-by-step explanation:
We proceed as follows;
Firstly, we are selecting 5 state capitals out of 50. The number of ways we can do this is 50P5 = 50!/5!(50-5)! = 254,251,200 ways
Now, out of this number of ways , only one route is desired in that particular order.
This means the probability of having the route scheduled in that particular order would be;
1/254,251,200
Answer:
0.000000003933
Step-by-step explanation:
As the candidate will visit the capitals of 5 of the 50 states, the probability of each capital being selected is 1/50.
As we want a probability of 5 specific capitals in a specific order, we can calculate the probability of each capital being chosed:
First city being Sacramento: Probability of 1/50
Second city being Albany: Probability of 1/49 (as the first city is not available now)
Third city being Juneau: Probability of 1/48
Fourth city being Hartford: Probability of 1/47
Fifth city being Bismarck: Probability of 1/46
So the final probability is 1/(50*49*48*47*46) = 0.000000003933
CB is tangent to ⊙A at point C. Find the radius.
Circle A is shown. Line segment A C is a radii. Line segment B C is a tangent and it intersects with the circle at point C. A line is drawn from point B to point A and a point is drawn where the line intersects with the circle. The length of the radius is r, the length of C B is 8, and the length of B to the circle is 5.
CB ⊥ AC by the radius-tangent theorem, so ∠C is a right angle.
ΔABC is a right triangle, so apply the Pythagorean theorem.
Use the steps and solve for the radius.
r2 + 82 = (r + 5)2
r2 + 64 = r2 + 10r + 25
Answer:
The Answer is 39/10! I Did The Assignment!
Step-by-step explanation:
The radius is 3.9 units
What is radius of circle?In geometry, the radius is defined as a line segment joining the center of the circle or a sphere to its circumference or boundary. It is an important part of circles and spheres which is generally abbreviated as 'r'. The plural of radius is "radii" which is used when we talk about more than one radius at a time. The largest line segment in a circle or sphere joining any points lying on the opposite side of the center is the diameter, and the length of the radius is half of the length of the diameter. It can be expressed as d/2, where 'd' is the diameter of the circle or sphere. Look at the image of a circle given below showing the relationship between radius and diameter.
given:
As, CB ⊥ AC by the radius-tangent theorem.
In ΔABC, applying the Pythagoras theorem
r² + 8² = (r+ 5)²
r² + 64= r² + 25 + 10 r
64 - 25 = 10 r
39 = 10r
r= 39/10
r= 3.9 units
Hence, the radius is 3.9 units.
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Experience shows that a ski lodge will be full (153 guests) if there is a heavy snow fall while only partially full (62 guests) with a light snow fall. What is the expected number of guests if the probability for a heavy snow fall is .40
Step-by-step explanation:
The total number of guests for lodge to be full = 153
During heavy snow fall, the lodge will be full.
The expected number of guests during heavy snow fall = 153
During partial snow fall, the expected number of guests = 62
The probability of heavy snowfall = 0.4
The probability of partial snow fall = 1 - 0.4 = 0.6
The expected number of guests = [(0.4) (153)] + [(0.6) (62)]
= 61.2 + 37.2
= 98.4
A three-character code uses the letters D and Q. Either of the letters may be repeated.
Find the probability of a code with exactly two D’s.
Answer:
1/1 x 1/2 x 1/2 = 1/4
One times One-Half times One-Half Equals One-Fourth
The Probability is 1/4 or One-Fourth.
Step-by-step explanation:
There is a One-Half possibility on two of them for choosing D.
Multiply that by each other and than by 1.
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Sean opened a savings account and deposited $1,000.00 as principal. The account earns 6% interest, compounded annually. What is the balance after 7 years?
Use the formula A=P(1+ʳ/ₙ)ⁿᵗ, where A is the balance (final amount), P is the principal (starting amount), r is the interest rate expressed as a decimal, n is the number of times per year that the interest is compounded, and t is the time in years.
Round your answer to the nearest cent.
Answer: A = $1503.6
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1 + r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount deposited
From the information given,
P = 1000
r = 6% = 6/100 = 0.06
n = 1 because it was compounded once in a year.
t = 7 years
Therefore,.
A = 1000(1 + 0.06/1)^1 × 7
A = 1000(1.06)^7
A = $1503.6
hows many times does 14 go into 88
Answer:
6 times
Step-by-step explanation:
In order to figure out how many times a number goes into another number we need to divide the numbers:
88/14 ≅ 6.29
Since the answer is 6.29 then 14 fits into 88, 6 full times
6c + 14 = -5c + 4 + 9c solve for c
Answer:
-5
Step-by-step explanation:
6c + 14 = -5c + 4 + 9c
6c + 14 = 4c + 4
- 4. - 4
--------------------------
6c + 10 = 4c
- 6c - 6c
-----------------------
10 = -2c
--------------
-2. -2
C = -5
Answer:
-5 = c
Step-by-step explanation:
Step 1
6c + 14 = -5c + 4 + 9c
subtract 4 to the other side, then subtract 6c to the opposing side
ex: 14-4 = -5c -6c +9c
then combined.. 10= -2c
Step 2
divide -2 from 10 to solve for c.
ex: 10/-2 = c
solve... -5 = c
factor the expression 3x^2 - 6x
Answer:
3x(x-2)
Step-by-step explanation:
1. find out the common factor in each components which is 3x
2. done.