Answer:
12
Step-by-step explanation:
A linear function contains the following points.
What are the slope and y-intercept of this function?
A. The slope is -3.
The y-intercept is (0, -7).
B. The slope is 1/3
The y intercept (0,-7)
c. The slope is -1/3
The y intercept s (0, -7).
D. The slope is -1/3
The y intercept is (-7,0)
Answer:
C
Step-by-step explanation:
expanding brackets (2x + 4)(x - 6)
Answer:
=2x²-8x-24 is the answer
Step-by-step explanation:
=(2x+4)(x-6)
opening brackets by multiplying
=2x(x-6)+4(x-6)
=2x²-12x+4x-24
adding like terms
=2x²-8x-24
i hope this will help you :)
Answer:
2x² - 8x - 24
Step-by-step explanation:
Expand the brackets.
2x(x - 6) + 4(x - 6)
2x² - 12x + 4x - 24
Add like terms.
2x² - 8x - 24
How long is a banana
Answer:
6 - 9 inches long
Step-by-step explanation:
It depends on the size (small, medium, large) but this is the range.
Hope this helps!
In quadrilateral ABCD AB||CD and m/_2 =31 what is m/_5
Answer:
5 is ALSO 31⁰ BECAUSE THE LINES ARE PARALLEL
GIVE BRAINLIEST PLZ
calculate the margin of error of a confidence interval for the difference between the two population means.
A 95% confidence interval with a 4% margin of error suggests that your statistic will be 95% of the time within 4 percentage points of the true population value.
A survey, may reveal that the 98% confidence interval is between 4.88 and 5.26. So, if the poll is repeated using the same methods, the true population parameter (parameter vs. statistic) will fall 98% of the time within the interval estimates (i.e. between 4.88 and 5.26).
The formal definition, on the other hand, includes a little more information. The margin of error in a confidence interval is defined as the range of values below and above the sample statistic. The confidence interval is a tool for demonstrating the level of uncertainty associated with a certain statistic (i.e. from a poll or survey).
In 2012, a Gallup poll (incorrectly) predicted that Romney would win the election, with Romney polling at 49% and Obama polling at 48%. The declared level of confidence was 95%, with a margin of error of 2. We can conclude that the results were computed to be 95% accurate within 2 percentage points.
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A buoy is 150 meters away from the base of a wind turbine the angle of elevation from the buoy to the top of the wind turbine is 28 degrees
what is the height of the wind turbine?
give your answer in 2 d. P
The height of the wind turbine where the distance from it's base to buoy is 150 meters and angle of elevation is 28°, is equals to the 281.95 meters.
See the above figure carefully. Let there present right angled triangle be ∆ABC. We have length of buoy away from the base of a wind turbine(AB), BC = 150 meters
Angle of elevation from the buoy to the top of the wind turbine, BAC = 28°
We have to determine height of the wind turbine that is length of AB. As we see this is a right angled triangle so we will use trigonometric functions. Now, tangent function of angle
= height/base length. Here, consider the function for angle 28°, so tan (28°) = BC/AB
=> tan (28°) = 150/AB
=> AB = 150/tan (28°)
=> AB = 150/0.532
=> AB = 281.954887218 ~ 281.95
Hence, required value is 281.95 meters.
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Complete question:
The above figure comples the question. A buoy is 150 meters away from the base of a wind turbine the angle of elevation from the buoy to the top of the wind turbine is 28 degrees
what is the height of the wind turbine?
give your answer in 2 d. P
Match each expression with an equivalent radical form. One of the radical form
options will not have a match.
3 7/2
7 1/2
3 2/7
7 2/3
1. √7
2. √37
3. √3²
4. 3/72
Answer:
3^(7/2) = 2.; 7^(1/2) = 1,; 3^(2/7) = 3.; 7^(2/3) = 4.
Step-by-step explanation:
To convert the expressions to their radical form, we remember this formula:
\(b^\frac{exponent}{index}=\sqrt[index]{b^e^x^p^o^n^e^n^t}\)
Thus, for 3^(7/2), 7 is the exponent and 2 is the index, which gives us
\(\sqrt[]{3^7}\).
For 7^(1/2), 1 is the exponent and 2 is the index, which gives us
\(\sqrt{7}\).
For 3^(2/7), 2 is the exponent and 7 is the index, which gives us
\(\sqrt[7]{3^2}\).
For 7^(2/3), 2 is the exponent and 3 is the index, which gives us
\(\sqrt[3]{7^2}\)
The sum of three consecutive odd integers is 75 . Find the value of the middle of the three.
The value of the middle of the three is 25.
Let x be the first odd integer, then the next two consecutive odd integers are x+2 and x+4. The sum of these three consecutive odd integers is given as 75, so we can write the equation:
x + (x+2) + (x+4) = 75
Simplifying the left side of this equation gives:
3x + 6 = 75
Subtracting 6 from both sides gives:
3x = 69
Dividing by 3 gives:
x = 23
So the first odd integer is 23, and the next two consecutive odd integers are 25 and 27. The middle of these three is the second consecutive odd integer, which is 25. Therefore, the value of the middle of the three is 25.
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Helpp pLZZZZ
Jack can mow the baseball grounds in 2 hours; Mike can mow the same grounds in 3 hours; and Chris can mow the grounds in 4 hours. How long will it take to mow the baseball grounds if Jack, Mike, and Chris work together?
Leave your answer in proper fraction form, then round to 1 decimal place.
Using your rounded answer, how many minutes would that be?
Answer:
1hr 37min 18 sec
Step-by-step explanation:
Jack can mow the baseball grounds in 6 hours
Jack rate = 1/6 job/hr
-------------------------------
Mike can mow the same grounds in 5 hours
Mike rate = 1/5 job/hr
-------------------------------
Chris can mow the grounds in 4 hours.
Chris rate = 1/4 job/hr
-------------------------------
Together rate = 1/x job/hr
----------------------------------
Equation:
rate + rate + rate = together rate
[ 1/6 + 1/5 + 1/4] = 1/x
x[(5*4 + 6*4+ 6*5)/(6*5*4)] = 1
----
x(74/120) = 1
x = 120/74 = 1.62 hours = 1 hr 37 min 18 sec
A farmer has a field in the shape of a semicircle of diameter 50 m. The farmer asks Jim to build a fence around the edge of the field. Jim tells him how much it will cost. Total cost = £29. 86 per metre of fence plus £180 for each day's work Jim takes three days to build the fence. Work out the total cost. Show your working out
The total cost is £2033.
The field is in the shape of a semicircle, so the radius of the field is half the diameter or 50 m / 2 = 25 m.
The circumference of a circle is given by 2 * pi * r, where r is the radius of the circle.
So the circumference of the semicircle is 2 * pi * 25 = 50 * pi m.
The cost of the fence is £29.86 per meter. So the cost of the fence is 50 * pi * £29.86 = £1493.
Jim takes three days to build the fence and charges £180 per day.
So the cost for the labour is 3 * £180 = £540.
Adding the cost of the labour to the cost of the fence: £1493 + £540 = £2033
So the total cost is £2033.
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Sertista A (60) maiks): Answer ALL questions in this section: On. 81 . A pistoncylinder device initialiy contains 1.777 m^2
of superheated steam at 050MPa and Soo"c. The piston is then compressed to 0.3 m^4
such that the temperature remains constant. (o) Use the appropriate property table to determine mass of steam in the device. [3 Marks] (b) Sketch a pressure versus specific volume graph during the compression process. [2. Marics] (c) Drtermine the work done during the compression process. [6 Marks] (d) Oetermine the pressure of the superheated steam after compression. (e) Suggest three factors that will make the process irreversible.
The mass of steam in the device is 3.011 kg. The pressure of the superheated steam after compression is 0.5 MPa. This is an irreversible process.
(a) Use the appropriate property table to determine the mass of steam in the device.
Given, Piston cylinder device initially contains = 1.777 m³
Pressure = 0.50 MPa
Temperature = 500C
Using the steam table to find the mass of the steam inside the piston cylinder device by referring to the steam tables.
Using steam tables, the values are: Entropy = 6.8018 kJ/kgK
Enthalpy = 3194.7 kJ/kg
Mass of steam in device = volume / specific volume = 1.777 m³ / 0.5901 m³/kg = 3.011 kg
Therefore, the mass of steam in the device is 3.011 kg.
(b) Sketch a pressure versus specific volume graph during the compression process.
(c) Determine the work done during the compression process.The formula to calculate work done during the compression process is given by,
W = P(V1 - V2)
Work done during the compression process = 0.5[1.777-0.3]×106 N/m2 = 782100 J
Hence, the work done during the compression process is 782100 J.(d) Determine the pressure of the superheated steam after compression.The pressure of the superheated steam after compression is 0.5 MPa.
(e) Suggest three factors that will make the process irreversible. The three factors that will make the process irreversible are: Friction: Friction produces entropy which is a measure of energy loss. In a piston-cylinder device, friction is caused by moving parts such as bearings, seals, and sliding pistons.Heat transfer through finite temperature difference: Whenever heat transfer occurs between two systems at different temperatures, the transfer is irreversible. This is because of entropy creation due to the temperature gradient. In a piston-cylinder device, this can occur through contact with hotter or colder surfaces.Unrestrained expansion: Whenever a gas expands into a vacuum, there is no work done, and entropy is generated. This is an irreversible process.
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Please help with this question I will give points
Answer:
46.8
Step-by-step explanation:
The missing angle in ∆PQR is 180° -76° -41° = 63°. Two angles are the same between the triangles, so we know they are similar. Side lengths of similar triangles are proportional.
Corresponding sides of the triangles are ...
ST ⇔ PQ ratio ST/PQ = 16.8/14 = 1.2
TU ⇔ QR ratio TU/QR = x/10 = 1.2 ⇔ x = 12
US ⇔ RP ratio US/RP = 18/15 = 1.2
The perimeter of ∆STU is the sum of its side lengths ...
16.8 +12 +18 = 46.8 . . . units
_____
Additional comment
The perimeter of PQR is 14 +10 +15 = 39. The scale factor applies to the perimeter, just as it does to the side lengths.
The perimeter of STU is 1.2×39 = 46.8.
i have been struggling for this work that has been assigned to me at the first day of school after a long time.
Answer:
Fill the gaps in this sequence:
25 36 49 64 81 100
This sequence is the numbers 5, 6, 7, 8, 9, and 10 squared.
Work out the cube root of 343, then square it.
49
Since 7 cubed equals 343, then 7 squared is 49.
When you subtract one square number from another the answer is 7.
What are the two square numbers?
16 and 9
These are the only squares that fit the criteria.
Write down a number you can square to give an answer bigger than 200 but smaller than 300.
15, 16, 17
All of those answers work. 15² is 225, 16² is 256, and 17² is 289. You can choose any of them to enter in and it should work.
PLZ HELP URGENT. Select the true statement about the triangles pictured below.
Enlarge the triangle by scale factor -3 with centre (3, 3)
Answer:
... There isnt answer choices...
Answer:
the new points/coordinates would be (3,0) and (3,-3) and (-3,-3)
Step-by-step explanation:
this is because you use column vectors and draw a cross at the centre of enlargement then find out how many spaces you need to go right and up for each of the coordinates. then times that by -3 and use your answers to go left and down from the centre (3,3)
Diagonalize the following matrix. The real eigenvalues are given to the right of the matrix. ⎣
⎡
3
3
−3
18
0
9
18
−9
18
⎦
⎤
;λ=3,9 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. For P=,D= ⎣
⎡
3
0
0
0
3
0
0
0
9
⎦
⎤
B. For P= P=,D= ⎣
⎡
3
0
0
0
9
0
0
0
9
⎦
⎤
C. The matrix cannot be diagonalized
The matrix can be diagonalized, and the correct choice is B. For P= ⎡⎣3−11011⎤⎦, D= ⎡⎣393000⎤⎦.
To diagonalize a matrix, we need to find its eigenvectors and use them to construct a matrix P, where the columns of P are the eigenvectors. The diagonal matrix D is formed by placing the eigenvalues on the diagonal.
First, we find the eigenvalues λ by solving the characteristic equation det(A - λI) = 0, where A is the given matrix and I is the identity matrix. By calculating the determinant, we have (33 - λ)(9 - λ) - (-3)(18) = 0, which simplifies to λ^2 - 42λ + 315 = 0. Solving this quadratic equation gives λ = 3 and λ = 9.
Next, we find the corresponding eigenvectors. For λ = 3, we solve the equation (A - 3I)v = 0, where v is the eigenvector. This leads to the eigenvector v = ⎡⎣3−110⎤⎦. For λ = 9, we solve (A - 9I)v = 0, which gives v = ⎡⎣111⎤⎦.
We construct matrix P by using the eigenvectors as columns: P = ⎡⎣3−11011⎤⎦. The diagonal matrix D is formed by placing the eigenvalues on the diagonal: D = ⎡⎣393000⎤⎦.
Therefore, the correct choice is B. For P= ⎡⎣3−11011⎤⎦, D= ⎡⎣393000⎤⎦.
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Write the mixed number 8 4/5 as an improper fraction.
The mixed number can be written as an improper fraction of 44/5 after simplifying the answer is 44/5.
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:
The mixed number is 8 4/5
To write the mixed number as an improper fraction:
= 8 + 4/5
Take LCM as 5
LCM can be defined as the common number of two integers, which is the lowest number that is a multiple of two or more numbers. The full name of LCM is the least common multiple.
= (8x5 + 4)/5
= (40 + 4)/5
= 44/5
Thus, the mixed number can be written as an improper fraction of 44/5 after simplifying the answer is 44/5.
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If t=2t=2, then 3t-4=23t−4=2.
True
False
Answer:
false
Step-by-step explanation:
Answer:
TRUEE
Step-by-step explanation:
If t = 2
\(3t - 4 = 2\)
\(3(2) - 4 = 2\)
\(6 - 4 = 2\)
\(2 = 2\)
A principal wishes to implement a decision that has to be a number between 0 and 1; that is, a decision d needs to be implemented where 0 sdS1. The difficulty for the principal is that she does not know what decision is appropriate given the current state of the economy, but she would like to implement a decision that exactly equals what is required given the state of the economy. In other words, if the economy is in state s (where 0 sS 1) the principal would like to implement a decision d s as the principal's utility Up (or loss from the maximum possible profit) is given by Up--s-d With such a utility function, maximising utility really means making the loss as small as possible. For simplicity, the two possible levels of s are 0.4 and 0.7, and each occurs with probability 0.5 There are two division managers A and B who each have their own biases. Manager A always wants a decision of 0.4 to be implemented, and incurs a disutility Ua that is increasing the further from 0.4 the decision d that is actually implement, specifically U-0.4-d.Similarly, Manager B always wants a decision of 0.7 to be implement, and incurs a disutility UB that is (linearly) increasing in the distance between 0.7 and the actually decision that is implemented - that is Ug--10.7 Each manager is completely informed, so that each of them knows exactly what the state of the economy s is (a) The principal can opt to centralise the decision but before making her decision given she does not know what the state of the economy is - she asks for recomm endation s from her two division mana gers. Centralisation means that the principal commits to implement a decision that is the average of the two recommendations she received from her managers. The recommendations are sent simultaneously and cannot be less than 0 or greater than 1 Assume that the state of the economy s = 0.7. What is the report (or recommendation) that Manager A will send if Manager B always truthfully reports s? (b) Again the principal is going to centralise the decision and will ask for a recommendation from both managers, as in the previous question. Now, however assume that both managers strategically make their recommendations. What are the recommendations rA and rB made by the Managers A and B, respectively, in a Nash equilibriunm
A. Manager A wants the decision to be 0.4, so they would recommend a decision of 0.4 to the principal.
B. The recommendations in the Nash equilibrium would be rA = 0.4 and rB = 0.7.
(a) If Manager B always truthfully reports the state of the economy (s = 0.7), Manager A would send a recommendation that minimizes their disutility Ua. In this case, Manager A wants the decision to be 0.4, so they would recommend a decision of 0.4 to the principal.
(b) In a Nash equilibrium, both managers strategically make their recommendations based on their own utility. Manager A wants to minimize their disutility Ua, which increases as the decision deviates from 0.4. Manager B wants to minimize their disutility UB, which increases as the decision deviates from 0.7.
To find the Nash equilibrium, we need to consider the recommendations made by both managers simultaneously. Let's denote the recommendations as rA (from Manager A) and rB (from Manager B). The principal's decision, d, would be the average of the recommendations, so d = (rA + rB) / 2.
Given that both managers strategically choose their recommendations, they will aim to minimize their disutility. In this case, Manager A would recommend a decision of 0.4 (as it minimizes Ua), and Manager B would recommend a decision of 0.7 (as it minimizes UB). Therefore, the recommendations in the Nash equilibrium would be rA = 0.4 and rB = 0.7.
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please answer this for me <3
Answer:
I think its D
Step-by-step explanation:
i might be wrong
Does the graph represent a function?
x=?
what does x equal
Answer:
a
Step-by-step explanation:
Point t is on line segment \overline{su} su . given st=3x+2,st=3x+2, tu=3x+4,tu=3x+4, and su=5x+9,su=5x+9, determine the numerical length of \overline{su}. su .
Given that Point T is on line segment SU, T is collinear with S and U, and the numerical length of SU is 24.
Since Point T is on line segment SU, then S, T, and U are collinear.
Collinear points refers to the points that lies on the same straight line.
IF S, T, and U are collinear, then the sum of the numerical length of ST and the numerical length of TU is equal to the numerical length of SU.
ST + TU = SU
Given:
ST = 3x + 2
TU = 3x + 4
SU = 5x + 9
Substitute the expressions in the equation and solve for x.
ST + TU = SU
3x + 2 + 3x + 4 = 5x + 9
3x + 3x - 5x = 9 - 2 - 4
x = 3
Substitute the value of x in the expression for SU.
SU = 5x + 9
SU = 5(3) + 9
SU = 24
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Which of these systems of linear equations has an infinite number of solutions?.
The systems of linear equations has an infinite number of solutions are 3x + 6y = 22 & 6x +12y = 44.
What is a linear equation?
A linear equation is an equation in which each term has at max one degree. Linear equations in variables x and y can be written in the form
y = mx + c
Main body:
Linear equation with two variables, when graphed on the cartesian plane with axes of those variables, give a straight line.
When both the lines(represented by both the equations) are coincident(lying over each other), then there will have an infinite solution since in that case, they will have infinite points in common.
In the given equation
3x + 6y = 22 & 6x +12y = 44.
we can see that the cofficient are proportional to each other
\(\frac{x_{1}}{x_{2} } =\frac{y_{1}}{y_{2} } = \frac{z_{1}}{z_{2} }\)
= 1/2
Thus, the equation must be 3x + 6y = 22 & 6x +12y = 44.
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The graph below shows the speed of a fish
over time.
What was the acceleration of the fish?
If your answer is a decimal, give it to 1 d.p.
Speed (m/s)
10
8-
9
4
2-
N.
-3
5 6
Time (s)
7
-00
8
9
10
The speed is 3.6 meters per second.
Given that Laura ran 1 km in 4 minutes and 37 seconds.
We know that, 1 km =1000 meters
1 minute =60 seconds
So, 4 minutes and 37 seconds
We know that one minute is equal to sixty seconds
So let us convert four minutes to seconds by multiplying four with sixty seconds
= 4×60 +37
When four is multiplied with sixty we get two hundred forty
= 240+37
= 277 seconds
4 minutes and 37 seconds is equal to two hundred seventy seven seconds.
Now, the formula for speed is distance by time
Speed = Distance/Time
Distance =1000 and time is 277
= 1000/277
= 3.6 meters per second
Therefore, the speed is 3.6 meters per second.
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Laura ran 1 km in 4 minutes and 37 seconds. What was her speed in metres per second (m/s)? If your answer is a decimal, give it to 1 d.p.
in a survey of 320 customers, 84 say that service is poor. you select two customers without replacement to get more information on their satisfaction. what is the probability that both say service is poor?
Probability is the branch of mathematics dealing with numerical descriptions of how likely a situation is to occur, or how likely it is that a proposition is true.
An expression for the probability of an event.
Probability of an event = Required number of event / Total number of possible events
Required number of events = 84
Total number of events = 320
Find the probability that both customers selected without replacement say service is poor.
customers say service is poor = 84 / 320
customer selected without saying service is poor= 83 / 319.
The final probability is: 84 ÷ 320 ×83 ÷ 319.
= 6972 ÷ 201080
= 1743 ÷ 25520
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Is (x + 2) a factor of 3x3 + 4x2 - 4?
O No, because the remainder is zero
No, because the remainder is not equal to zero
Yes, because the remain is not equal to zero
OYes, because the remainder is zero
Answer:
No, because the remainder is not equal to zero.
Find the real interest rate (the exact one and the approximate one < nom i= real r+ π>) R=
(1+π)
(1+in)
−1 a) i=5.5
%
,π=4.5% b) i=18%,π=23% c) i=5%,π=2.5% d) i=1.05%,π=1.2% e) What conclusions can you draw about interest rates and inflation from the results obtained?
a) The exact real interest rate is approximately -5.75%.
b) The exact real interest rate is approximately 4.24%.
c) The exact real interest rate is approximately -2.38%.
d) The exact real interest rate is approximately -99.85%.
e) When the nominal interest rate (i) is greater than the inflation rate (π), the real interest rate (R) is positive.
Step by step:
a) To find the exact real interest rate (R), we can use the formula R = (1+π)/(1+i) - 1, where π is the inflation rate and i is the nominal interest rate.
Given that i = 5.5% and π = 4.5%, we can substitute these values into the formula:
R = (1+0.045)/(1+0.055) - 1
R = 1.045/1.055 - 1
R ≈ 0.9425 - 1
R ≈ -0.0575
Therefore, the exact real interest rate is approximately -5.75%.
b) For i = 18% and π = 23%:
R = (1+0.23)/(1+0.18) - 1
R = 1.23/1.18 - 1
R ≈ 1.0424 - 1
R ≈ 0.0424
Therefore, the exact real interest rate is approximately 4.24%.
c) For i = 5% and π = 2.5%:
R = (1+0.025)/(1+0.05) - 1
R = 1.025/1.05 - 1
R ≈ 0.9762 - 1
R ≈ -0.0238
Therefore,
d) For i = 1.05% and π = 1.2%:
R = (1+0.012)/(1+0.0105) - 1
R = 1.012/1.0105 - 1
R ≈ 0.0015 - 1
R ≈ -0.9985
Therefore, the exact real interest rate is approximately -99.85%.
e) From the results obtained, we can draw the following conclusions about interest rates and inflation:
- When the nominal interest rate (i) is greater than the inflation rate (π), the real interest rate (R) is positive.
- When the nominal interest rate (i) is equal to the inflation rate (π), the real interest rate (R) is approximately zero.
- When the nominal interest rate (i) is less than the inflation rate (π), the real interest rate (R) is negative.
- Higher inflation rates generally lead to lower real interest rates, as the purchasing power of money decreases.
- Lower inflation rates generally lead to higher real interest rates, as the purchasing power of money increases.
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Convert 3.9m^2 into cm^2
I will leave good review!
Answer:
Step-by-step explanation:
To convert square meters to square centimeters, we need to multiply by the conversion factor (100 cm / 1 m)^2.
So,
3.9 m² = 3.9 × (100 cm / 1 m)²
3.9 m² = 3.9 × 10,000 cm²
3.9 m² = 39,000 cm²
Therefore, 3.9 square meters is equal to 39,000 square centimeters.
Divide:
10 divided by 863.983 equals _______.
Answer:
86.3983
Step-by-step explanation:
When dividing by 10, a trick you can use is to move the decimal one place to the left.
Answer:
The answer is 86.3983.