The guards change over between 10:16 pm and 10:25 pm which means the hallway is clear during that time. How many minutes do you have exactly to cross the yard without being noticed?
Answer:
8 minutes.
Step-by-step explanation:
We have been given that the guards change over between 10:16 pm and 10:25 pm which means the hallway is clear during that time.
We can see that the very first minute to cross the hallway without being noticed will be after 10:16 pm as guards start change over at 10:16 pm.
The very last minute to cross the hallway without being noticed will be before 10:25 pm as guards end change over at 10:25 pm.
So let us count number of minutes between 10:16 pm to 10:25 pm without including 10:16 pm and 10:25 pm.
So these minutes will be: 10:17 pm, 10:18 pm, 10:19 pm, 10:20 pm, 10:21 pm, 10:22 pm, 10:23 pm, 10:24 pm.
Since given time interval includes 8 minutes, therefore, we have only 8 minutes to cross the yard without being noticed.
The person have only [tex]\boxed{{\mathbf{8 minutes}}}[/tex] to cross the yard without being noticed.
Further explanation:
It is given that the guards change over between [tex]10:16{\text{ pm}}[/tex] and [tex]10:25{\text{ pm}}[/tex] that means hallway is clear on that time.
The person can cross the halfway in the absence of the guard when the guards change over.
The person can cross the hallway after [tex]10:16{\text{ pm}}[/tex] without being noticed therefore, it is the very first minute to cross the hallway.
The person can cross the hallway before [tex]10:25{\text{ pm}}[/tex] without being noticed therefore, it is the very last minute to cross the hallway.
Now count the timings in which the person can cross hallway without being noticed.
[tex]\begin{aligned}10:17{\text{ pm,}}10:18{\text{ pm}},10:19{\text{ pm}},10:20{\text{ pm,}} \hfill \\10:21{\text{ pm, }}10:22{\text{ pm,}}10:23{\text{ pm, }}10:24{\text{ pm}} \hfill\\{\text{ }}\hfill\\\end{aligned}[/tex]
Therefore, it can seen from the above timings that the time interval is 8 minutes in which the person can cross hallway as the hallway is clear.
Thus, the person have only [tex]8{\text{ minutes}}[/tex] to cross the yard without being noticed.
Learn more:
Learn more about the distance between points and https://brainly.com/question/10135690 Learn more about the symmetry for a function https://brainly.com/question/1286775 Learn more about midpoint of the segment https://brainly.com/question/3269852Answer details:
Grade: Junior school
Subject: Mathematics
Chapter: Time.
Keywords: Time, minutes, hallway, cross, noticed, without being, person, time interval, clear on the time, seconds, yard, distance, change over, absence.
The math club is holding a fundraiser by selling pies. If they sell each pie for $12, how many pies do they need to sell if they want to make at least $500? Define a variable, then write and solve an inequality to represent this situation. SHOW YOUR WORK!
Final answer:
The math club must sell at least 42 pies to meet their fundraising goal of $500, as they're selling each pie for $12.
Explanation:
To determine how many pies the math club needs to sell to raise at least $500, we can define a variable and create an inequality. Let's define the variable x to represent the number of pies sold. Since each pie is sold for $12, the inequality will be:
12x ≥ 500.
To solve for x, we divide both sides of the inequality by 12:
x ≥ 500 / 12,
x ≥ 41.67.
Since the math club cannot sell a fraction of a pie, they must sell at least 42 pies to meet their fundraising goal of at least $500.
A public pool opened for summer. A total of 246 people came swimming over the first 3 days it was open on the first day79came to swim on the second day 104 people swam how many people swam on the third day
63 People came on the third day
Hi there!
So there was a public pool opened for summer and a total of 246 people came swimming over the first 3 days. On the first day 79 came to swim and on the second day 104 came to swim. To find how much people swam on the third day, we need to add 104 + 79 and subtract the answer with 246.
104 + 79 = 183
246 - 183 = 63
63 people came to swim on the third day.
Hope this helped!~
Terrance is putting away holiday decorations he has 204 ornaments that need to be put away into plastic containers each container has been 6 sections and each section can fit I oranament how many plastic containers Terrance fill
Answer: 34
Step-by-step explanation:
Divide the number of ornaments by the number of sections in the plastic containers.
204/6= 34
Terrance will need 34 plastic containers to store all 204 of his ornaments, with each container holding 6 ornaments.
Terrance has 204 ornaments to put away, and each container has 6 sections; with each section holding one ornament. To find out how many containers Terrance will need, divide the total number of ornaments by the number of ornaments that fit into one container. This is a simple division problem: 204 ornaments divided by 6 sections per container equals 34.
Therefore, Terrance will need 34 plastic containers to store all his holiday ornaments.
What is the slope of a line perpendicular to line B?
Answer:
m = -2/5
Step-by-step explanation:
The first thing we need to do is find the slope of line B.
m = (y2 - y1) / (x2 - x1)
m = (5 - (-5)) / (3 - (-1))
m = 10 / 4
m = 2 1/2 or 5/2
The slope of a line perpendicular to line B will be the negative reciprocal of 5/2. Just flip the numerator and the denominator and add a minus sign:
5/2 → -2/5
The coordinates of a point on a coordinate grid are (−2, 6). The point is reflected across the x-axis to obtain a new point. The coordinates of the reflected point are (4 points)
(2, 6)
(−2, 6)
(−2, −6)
(2, −6)
Answer:
its -2,-6 hope this helps ヾ(•ω•`)o o(*￣▽￣*)ブ
Step-by-step explanation:
Anna does sit-ups to get ready for her first triathlon. When she starts, she does a sit-up every 22 seconds. But, as she gets tired, each sit-up takes longer and longer to do. Is the number of sit-ups Anna does proportional to the time she spends doing them? Choose 1 answer:
Answer:
No, the number of sit-ups Anna does, are not proportional to the time she spends doing them.
Step-by-step explanation:
When Anna starts, she does a sit-up every 22 seconds. But, as she gets tired, each sit-up takes longer and longer to do.
So, no, the number of sit-ups Anna does, are not proportional to the time she spends doing them. his is because for being proportional, the decreasing or increasing rate should be constant but here, it is not.
Answer:she spends 22 seconds
Solve: log2(x-4) = 4 A) 4 B) 8 C) 12 D) 20
Answer:
D
Step-by-step explanation:
using the rule of logarithms
• [tex]log_{b}[/tex] x = n ⇔ x = [tex]b^{n}[/tex]
[tex]log_{2}[/tex](x - 4) = 4
⇒ x - 4 = [tex]2^{4}[/tex] = 16 ( add 4 to both sides )
x = 20 → D
Answer:
D) 20
Step-by-step explanation:
Scarlett sells designer ponchos. The revenue, RR, she makes from selling a batch of nn ponchos is given by the function R(n)=20nR(n)=20n, and the expenses, EE, that she incurs from producing a batch of nn ponchos is given by the function E(n)=10\cdot \sqrt{n}E(n)=10? n ? . Let PP be the total profit Scarlett makes from producing and selling a batch of nn ponchos
Answer:
Write a formula for P(n) in terms of R(n).
R(n) - E(n)
Write a formula for P(n) in terms of n.
20n - [tex]10\sqrt{n}[/tex]
Step-by-step explanation:
Please rate 5 stars and thanks if the answer is right :)
To calculate Scarlett's profit for selling ponchos, subtract her total expenses from her total revenue using the functions provided. For a specific number of ponchos, plug that number into both the revenue and expense functions and subtract the results.
Explanation:The student's question deals with the calculation of profit for a business venture, specifically for selling batches of designer ponchos. Given the revenue function R(n) = 20n and the expense function E(n) = 10 √{n}, the profit that Scarlett makes from producing and selling a batch of n ponchos can be calculated by subtracting the total expenses from the total revenue, which is P(n) = R(n) - E(n). To find Scarlett's profit for a specific number of ponchos, simply plug the value of n into both functions and perform the subtraction.
For example, if Scarlett wants to calculate the profit for selling 5 ponchos, the revenue would be R(5) = 20(5) = $100, and the expenses would be E(5) = 10√5. Scarlett's total profit for 5 ponchos would then be P(5) = $100 - 10√5.
Jaime has 6 quarters and some dimes in his pocket . The total value of the coins in 4.50. How many dimes does he have in his pockets
In the diagram below, what needs to be labeled in order to prove triangle AHL and triangle EML are congruent by the SSS postulate
Answer:
Final answer is HL = LM.
Step-by-step explanation:
We have been given a diagram having two triangles in which sides AH= EM and AL=EL.
Now we need to find which statement is missing to prove that triangles AHL and EML are congruent using SSS.
SSS means (side - side - side)
Two pair of equal sides are already given so we have completed SS of SSS.
Last "S" means we need one more pair of equal sides so that must be using remaining sides HL and LM
Hence final answer is HL = LM.
In triangles AHL and EML, AH=EM, AL=EL. To prove congruence by SSS, it's concluded that D) HL=LM is required.
In the given problem, the conclusion is established by presenting a diagram containing two triangles, AHL and EML, with specified equal side lengths: AH = EM and AL = EL. The objective is to ascertain the missing statement required to demonstrate the congruence of these triangles through the Side-Side-Side (SSS) criterion.
The SSS criterion asserts that for two triangles to be congruent, the corresponding sides of the triangles must be equal in length. In this context, the sides AH and AL, as well as EM and EL, serve as two pairs of equal sides, satisfying the "SS" criteria of SSS. To complete the SSS congruence condition, it is necessary to establish the equality of the remaining sides, HL and LM.
Consequently, the final answer deduced from the step-by-step explanation is that HL equals LM. This signifies the fulfillment of the Side-Side-Side criterion, ensuring the congruence of triangles AHL and EML. The logical progression of the explanation elucidates the geometric relationships and justifies the conclusion that HL = LM is the missing statement essential for establishing the congruence of the two triangles.
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Alex has 48 stickers. This is 6 times the 4. Number of stickers Max has. How many stickers does Max have?
Assuming you mean:
Alex has 48 stickers. This is 6 times number of stickers Max has. How many stickers does Max have?
48 divided by 6 gives you 8.
Anfernee bought 4 umbrellas and 2 hats and spent between 40 to 60 dollars. Each hat cost the same amount. The price of a hat is 8 dollars. What is the least amount Anfernee could have spent on an umbrella and what is the most?
Answer:
Cheapest = $6
Most expensive = $11
Step-by-step explanation:
First we need to make an equation:
4u + 2h = 40 < x < 60
u is umbrellas and h is hats,
If a hat is 8, then this can be:
4u + 2(8) = 40 < x < 60
4u + 16 = 40 < x < 60
4u = 40 - 16
4u = 24
u = 6
So the cheapest an umbrella can be is $6.
The most expensive is:
4u = 60 - 16
4u = 44
u = 11
So the most expensive is $11
Complex Roots #4 Problem
A fruit punch recipe calls for 3/4 cup of pineapple juice and 1 1/2 cups of orange juice. I have 4 1/2 cups of pineapple juice and want to use all of it. How many cups of orange juice will I need?
Answer: If the recipe wants 3/4 cup of pineapple juice for every 6/4 cups of orange juice, 18/4 is 6x more than the recipe so 6/4 must be 6x larger too.
6 x 3/2 = 18/2 or 9 cups of orange juice. Hope this helps :) Please mark brainliest if you can ;)
Triangles △ABC and △DEF are similar. Find the lengths of the sides of △DEF, if AB=2 cm, BC=3 cm, CA=4 cm, DE=1.5 cm.
Answer:
DF=3.0cm, EF=3cm
Step-by-step explanation:
Given: ΔABC is similar to ΔDEF,
Therefore: [tex]\frac{AB}{DE} =\frac{AC}{DF}[/tex]
⇒[tex]\frac{2}{1.5}= \frac{4}{DF}[/tex]
⇒ DF=3.0cm
Now, by the similarity of triangles, we have Ef=3cm.
Answer:
The sides of △DEF are DE = 1.5cm, DF = 3cm, and EF= 2.25 cm.Step-by-step explanation:
We know that
[tex]\triangle ABC \sim \triangle DE\ F[/tex]
[tex]AB=2cm\\BC=3cm\\CA=4cm\\DE=1.5cm[/tex]
Remember that a similarity between two triangles represent a proportional relation between corresponding side. In this case, such proportions are
[tex]\frac{AB}{DE}=\frac{BC}{EF}=\frac{AC}{DF}[/tex]
So, we have to find sides DF and EF. Using given values, we have
[tex]\frac{AB}{DE}=\frac{BC}{EF}\\ \frac{2}{1.5}=\frac{3}{EF}\\ EF=\frac{3(1.5)}{2}=2.25[/tex]
Then,
[tex]\frac{AB}{DE}=\frac{AC}{DF}\\\frac{2}{1.5}=\frac{4}{DF}\\ \\DF=\frac{4(1.5)}{2}=3[/tex]
Therefore, the sides of △DEF are DE = 1.5cm, DF = 3cm, and EF= 2.25 cm.
Which sequence is the best financial approach?
A.) save for an emergency, pay off debts, save for retirement
B.) save for retirement, pay off debts, save for an emergency
C.) pay off debts, save for an emergency, save for retirement
D.) save for an emergency, save for retirement, pay off debts
Answer:
Option C is correct.
Best financial approach: pay off debts, save for an emergency, save for retirement.
Step-by-step explanation:
It is better to pay off the debts and then the rest of the money must be kept safe for the emergency because it is not necessary that you will have an emergency condition, it can take place or cannot take place. Then, when these two criteria are full filled then the rest of the money should be kept for the retirement.
Therefore, for the best financial approach :
[tex]\text{pay off debt} \rightarrow \text{save for an emergency} \rightarrow \text{save for retirement}[/tex]
Which inequality corresponds with the graph?
A) x > -2
B) x < -2
C) x ≤ -2
D) x ≥ -2
Answer:
D
Step-by-step explanation:
An inequality is an expression which means more than one number is a solution. We graph the solutions on a number line to show all possible values. We graph using circles and arrows.
Equal to and less/greater than are graphed with filled in circles on the value.Only less/greater than (not equal to) are graphed with open (not filled in) circles on the value.We draw an arrow the direction the solutions satisfy the inequality. Generally this is the direction the inequality itself points.This is a filled in circle on -2 so this is [tex]\leq or \geq[/tex]. This means only answers C and D are options.
Answer D points to the right.
Peter has two coupons from Gussini's Department Store, one for $10 off and another for 10% off. Peter wants to purchase a shirt for $64. His friend Casey told him to use the 10% of coupon because it is the best deal and his friend Josue told him to use the $10 off coupon because it is the best deal. Which friend is correct?
Answer:
Josue is Write
Step-by-step explanation:
64 x .10 = 6.4 in savings while $10 off is better
A car travels 54.9 miles in an hour.If the car continues at theach same speed for 12 hrs how many will it travel
Answer:
658.8 miles
Step-by-step explanation:
first divide 54.9 by 60. then multiply that by 12 times 60
The car will travel 658.8 miles if it continues at the same speed for 12 hours.
To find out how far the car will travel in 12 hours, we need to multiply the distance traveled in one hour by the number of hours the car will be traveling.
Given that the car travels 54.9 miles in one hour, we can represent this distance as [tex]\( \frac{549}{10} \)[/tex] miles per hour to avoid dealing with decimals. This fraction is equivalent to 54.9 miles.
Now, we multiply this distance by the time duration of 12 hours to find the total distance:
[tex]\[ \text{Total distance} = \text{Distance per hour} \times \text{Number of hours} \][/tex]
[tex]\[ \text{Total distance} = \frac{549}{10} \text{ miles/hr} \times 12 \text{ hr} \][/tex]
[tex]\[ \text{Total distance} = \frac{549 \times 12}{10} \text{ miles} \][/tex]
[tex]\[ \text{Total distance} = \frac{6588}{10} \text{ miles} \][/tex]
[tex]\[ \text{Total distance} = 658.8 \text{ miles} \][/tex]
Therefore, the car will travel 658.8 miles in 12 hours at the same speed.
Which statement about the ordered pairs (3, −8) and (4, 4) is true for the equation 3x−y4=11 ?
1. Neither ordered pair is a solution.
2. (3, −8) is a solution to the equation but not (4, 4) .
3. Both ordered pairs are solutions.
4. (4, 4) is a solution to the equation but not (3, −8) .
Answer:
1. Neither pair is a solution
Step-by-step explanation:
3*3=9 -18*4=-32 9(-)-32=41 not eleven
4*3=12 4*4=16 12-16=-4 not eleven
Calculate s50 for the arithmetic sequence defined by
Answer the correct choice is d 617.5
Function f, shown below, is translated down 3 units and left 4 units to create function g.
F(x)= 3|x-2|-5
Fill in the values of a, h, and I to write the function g.
G(x)= a|x-h|+k
Answer: G(x) = 3|x + 2| - 8
Step-by-step explanation:
"a" represents the vertical stretch (or shrink)
"h" represents the x-coordinate of the vertex
x-axis goes left and right"k" represents the y-coordinate of the vertex
y-axis goes up and downF(x) = 3|x - 2| - 5
G(x) = 3(x - 2 + 4| - 5 - 3
= 3|x + 2| - 8
Answer:
g(x)=3 lx+2l-8
:)
HELP PLEASE!!!
1. There are two bags of marbles. Bag A contains 9 red marbles and 3 green marbles. Bag B contains 9 black marbles and 6 orange marbles. Find the probability of selecting one Green marble from Bag A and one black marble from Bag B. These events are:
a. independent
b. dependent
c. neither
d. can not be determined
2. You are asked to find the probability of selecting two cards from a standard deck of cards. What is the probability that you select an Ace then a King? These events are:
a. can not be determined
b. independent
c. dependent
d. neither
Problem 1
Answer: Independent
The reason why is because each bag is separate from one another, so one event doesn't affect the other. If we know the result of what we pulled out of one bag, it doesn't change the probability of the other event.
======================================
Problem 2
Answer: Dependent
Assuming you do not put the first card back, then the probability of picking a King on the second draw will be different than if you picked a King on the first draw. With all 52 cards in the deck, the probability of getting a king is 4/52 = 1/13. It changes to 4/51 after we picked out an ace for the first card (and didn't put that first card back).
What is the constant of proportionality for the relationship shown in this table?
x 3 6 9 12
y 1 2 3 4
1/6
1/3
3
9
Answer:
It is 1/3.
Step-by-step explanation:
The y values are 1/3 of the x values so the relation is
y = 1/3 x
Constant of proportionality = 1/3
The constant of proportionality for the given relationship y = 1/3x is (1/3).
What is proportionality?Proportionality are of two types one is direct proportion and another is inverse proportion. If two or more two quantities are in proportion they increase or decrease at a constant rate called the constant of proportionality.
We know two quantities are proportional if they increase or decrease by a certain constant rate.
Given when x = 3, y = 1 and when x = 9, y = 3.
∴ We can conclude that x = 3y or y = 1/3x.
So, the constant of proportionality is 1/3.
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Kwanzaa is an African American holiday celebrated December 26th through January 1st. The colors of Kwanzaa are red,green,and black, and the holiday has seven symbolic elements. Two of these elements are the mishumaa saba (the seven candles) and the kinara (the candle holder). Traditionally, the mishumaa saba are arranged in the kinara as shown, three identical red candles on the left, three identical green candles on the right and a black candle in the center. If, however, the candles could be arranged in any order, in how many different ways could the seven candles be arranged in the kinara?
Answer:
Step-by-step explanation:
Another very interesting problem
If the candles were all of a different color, then the first candle (randomly chosen) would be 7. The second candle would be any one of 6. Third would be any one of the remaining 5, then 4 then 3 then 2 then 1
The abbreviated way of writing that is 7! which means that the number of different ways would be
7*6*5*4 *3*2*1
However this problem is not that simple The complexity comes from the fact that there are colors that are duplicated.
That event is handled by dividing 7! /by 3! and another 3!
The result is 140
3! = 3*2*1 = 6
So you would take 7! and divide by 6*6
5040/36 = 140
This problem is much more difficult than any of the others.
There are 9 different ways the seven candles can be arranged in the kinara.
Explanation:The given problem is asking for the number of different ways that the seven candles can be arranged in the kinara for the celebration of Kwanzaa. Since there are seven candles, we can solve this problem by finding the number of permutations of seven objects. The formula for permutations is nPr = n! / (n - r)!, where n is the total number of objects and r is the number of objects we are arranging.
First, we calculate the number of ways to arrange the red candles. Since there are three identical red candles, this can be represented as 3P3 = 3! / (3 - 3)! = 3! / 0! = 3! / 1 = 3.Next, we calculate the number of ways to arrange the green candles. Similar to the red candles, this can be represented as 3P3 = 3! / (3 - 3)! = 3! / 0! = 3! / 1 = 3.Finally, we calculate the number of ways to arrange the black candle. Since there is only one black candle, there is only 1P1 = 1! / (1 - 1)! = 1! / 0! = 1! / 1 = 1.To find the total number of arrangements, we multiply the number of ways to arrange each set of candles together. Therefore, the total number of different ways the seven candles can be arranged in the kinara is 3 * 3 * 1 = 9.
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Three ounces of cinnamon cost $2.40. If there are 16 ounces in 1 pound, how much does a cinnamon cost per pound?
Divide the cost for 3 ounces by 3, to find the cost per ounce:
2.40 / 3 = 0.80
It cost 80 cents per ounce.
Now multiply the cost per ounce by 16 ounces:
16 x 0.80 = 12.80
It will cost $12.80 for one pound.
Solve the system of equations by finding the reduced row-echelon form of the augmented matrix for the system of equations.
3x-4y-5z=-27
5x+2y-2z=11
5x-4y+4z=-7
A.(1,5,51)
B.(10,5,51)
C.(10,51,23)
D.(1,5,2)
Answer:
D. (1, 5, 2)
Step-by-step explanation:
It is convenient to let a graphing calculator do this. See the attachment.
Answer:
D.(1,5,2)
Step-by-step explanation:
Lets write the augmented matrix by writing the coefficients of all the variables
3 -4 -5 -27 Row 1
5 2 -2 11 Row 2
5 -4 4 -7 Row 3
WE need to get
1 0 0
0 1 0
0 0 1 then last column will be the value of x , y , z
To get identity matrix we use row operations
(R1=R1/3)
1 -4/3 -5/3 -9 Row 1
5 2 -2 11 Row 2
5 -4 4 -7 Row 3
Subtract row 1 multiplied by 5 from row 2 (R2=R2−(5)R1)
1 -4/3 -5/3 -9 Row 1
0 26/3 19/3 56 Row 2
5 -4 4 -7 Row 3
Subtract row 1 multiplied by 5 from row 3 (R3=R3−(5)R1)
1 -4/3 -5/3 -9 Row 1
0 26/3 19/3 56 Row 2
0 8/3 37/3 38 Row 3
Multiply row 2 by 326 (R2=(3/26)R2)
1 -4/3 -5/3 -9 Row 1
0 1 19/26 84/13 Row 2
0 8/3 37/3 38 Row 3
Add row 2 multiplied by 4/3 to row 1 (R1=R1+(4/3)R2)
1 0 -9/13 -5/13 Row 1
0 1 19/26 84/13 Row 2
0 8/3 37/3 38 Row 3
Subtract row 2 multiplied by 8/3 from row 3 (R3=R3−(8/3)R2)
1 0 -9/13 -5/13 Row 1
0 1 19/26 84/13 Row 2
0 0 135/13 270/13 Row 3
Multiply row 3 by 13/135 (R3=(13/135)R3)
1 0 -9/13 -5/13 Row 1
0 1 19/26 84/13 Row 2
0 0 1 2 Row 3
Add row 3 multiplied by 9/13 to row 1 (R1=R1+(9/13)R3)
1 0 0 1 Row 1
0 1 19/26 84/13 Row 2
0 0 1 2 Row 3
Subtract row 3 multiplied by 19/26 from row 2 (R2=R2−(19/26)R3)
1 0 0 1 Row 1
0 1 0 5 Row 2
0 0 1 2 Row 3
From the above matrix we can say that x=1 , y=5 and z= 2
Find the equation of a line parallel to y = 3x - 6, passing through the point (-6, -7). options:
y = 3x + 11
y = 3x - 11
y = 3x - 7
y = -1/3x - 9
Parallel lines have the same a slope. Therefore if
k: y = 3x - 6 → slope = 3
and l: y = mx + b
l || k ⇔ m = 3
l: y = 3x + b
We have the point (-6, -7). Put the coordinates to the equation:
-7 = 3(-6) + b
-7 = -18 + b add 18 to both sides
11 = b → b = 11
Answer: y = 3x + 11Please please please help!!!!
The two triangles below are similar.
What is the ratio of the corresponding side lengths?
A) 4:9
B) 4:2
C) 26:26
D) 4.5:2
Answer is 4:2 (choice B)
AB is 4 units while A'B' is 2 units. The ratio of the sides is simply gluing these two numbers together with a colon symbol in between to get 4:2. We can reduce this to get 2:1, but your teacher has decided not to do this.