It is assumed that the purchase of equipment and loan receipt occur in July. Although cash sales are evaluated with a 5% reduction, they make up 40% of totality.
How to solveMonthly Cash Flow Statement for Gable Supplies Ltd for the three months ending on 30th September 2018:
Month: July August September
Opening Cash: £0 £3,550 £16,700
Cash Inflows:
Share Capital: £55,000
Loan: £110,000
Cash Sales: £45,600 £49,400 £57,000
Credit Sales: £0 £72,000 £78,000
Total Inflows: £160,600 £125,950 £135,000
Cash Outflows:
Loan Repayment: -£2,450 -£2,450 -£2,450
Equipment: -£80,000
Inventory: -£50,000 -£54,000 -£67,500
Wages: -£12,000 -£12,000 -£12,000
Overheads: -£15,000 -£15,000 -£15,000
Rent: -£36,000
Total Outflows: -£157,050 -£109,250 -£118,450
Closing Cash: £3,550 £16,700 £33,250
It is assumed that the purchase of equipment and loan receipt occur in July. Although cash sales are evaluated with a 5% reduction, they make up 40% of totality.
Additionally, credit sales to be accrued in the subsequent month from when the product was sold.
Inventory acquisition constitutes approximately 45% of revenue each month, whereas payments to suppliers get delayed by one month.
Rent, on the other hand, needs to be paid annually but paid beforehand instead of scheduled billing periods.
To note, the non-cash category of expenditures does not encompass depreciation according to the cash flow statement rules.
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solve for x x/3=? please help me image attached
The value of x is 5.48 units
Let us assume that the left right triangle be ABC and the right triangle on the right side be ABD.
So, the larger right triangle would be DAC.
Consider thr outer right triangle DAC.
The length of the hypotenuse DC would be,
DC = CB + BD
DC = 3 + 7
DC = 10 units
Also right triangle ABC and DAC are similar triangles.
We know that the sides of the smilar triangles are in proportion.
Using the definition of similar triangles for DAC and ABC,
DA/AB = AC/BC = DC/AC
Consider, AC/BC = DC/AC
x/3 = 10/x
this is the required proportion.
x² = 3 × 10
x² = 30
x = 5.48 units
Thus the value of x = 5.48 units
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You would like to estimate the prevalence of a disease. You randomly sample 10 people from the population of interest and 4 of them have the condition. Using a Beta prior with αα and ββ both being 1010, what is the posterior mean prevalence closest to?
The required posterior mean prevalence is closest to 0.47.
We can use Bayes' theorem to find the posterior distribution of the prevalence parameter, given the data and the Beta prior:
posterior ∝ likelihood x prior
where the likelihood is given by the binomial distribution:
likelihood = P(observing 4 cases out of 10 | prevalence)
and the prior is a Beta distribution with parameters α = β = 10:
prior = Beta(α=10, β=10)
We can calculate the posterior distribution by multiplying the likelihood and prior, and then normalizing:
posterior = Beta(α=14, β=16)
where the posterior Beta distribution has parameters α=14 (10 + 4) and β=16 (10 + 10 - 4).
The posterior mean of a Beta distribution with parameters α and β is:
posterior mean = α / (α + β)
Plugging in the values of α and β from the posterior distribution, we get:
posterior mean = 14 / (14 + 16) = 0.467
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solve the diagram for x
Answer:
Step-by-step explanation:
b. the length of the adjacent side :11
c. you want to know the x which is hypotenuse
d. SOH CAH TOA, you know a and wants to know h, so should use cos function
Select the correct answer from each drop-down menu.
Veronica wants to cut a sheet of paper into squares with an area of 12 square inches. For the best approximation, the length of each side of the square pieces of paper must be approximately equal to
inches. If each side were exactly this length, the area of each square would be
square inches.
The area of each square would be 36 square inch.
We have,
Area of sheet = 12 square inches
So, the area of square to be cut
= 12in × 12in
= 144 square in
Now, number of squares=4
So, area of each square =144÷4
=36 square inches
Thus, the side of each square is
= 36/4
= 6 inch
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CAN SOMEONE HELP WITH THIS QUESTION?
Part(A),
The estimated area under the graph of f(x) over the interval [3, 5] using four rectangles and right endpoints is approximately 0.231 square units.
Part(B),
The estimated area under the graph of f(x) over the interval [3, 5] using four rectangles and left endpoints is approximately 0.2405 square units.
To estimate the area under the graph of f(x) = 1/(x²+1) over the interval [3, 5] using four rectangles and right endpoints, we can use the following formula:
[tex]R_n = \dfrac{(b-a)}{n} \times [f(x_1) + f(x_2) + ... + f(x_n)],[/tex]
where a = 3, b = 5, n = 4, and xi = a + i(b-a)/n for i = 0, 1, 2, ..., n.
Using this formula with the right endpoints, we get:
[tex]R_4 = \dfrac{(5-3)}{4 }\times [f(3.5) + f(4) + f(4.5) + f(5)][/tex]
R₄ = (1/2) x [0.361 + 0.250 + 0.178 + 0.132]
R₄ = 0.231
Hence, the estimated area under the f(x) graph utilizing four rectangles and the right endpoints over the range [3, 5] is about 0.231 square units.
To repeat the approximation using left endpoints, we can use the following formula:
[tex]L_n = \dfrac{(b-a)}{n} \times [f(x_0) + f(x_1) + ... + f(x_{n-1)],[/tex]
where [tex]x_i = a + i\dfrac{(b-a)}{n}[/tex] for i = 0, 1, 2, ..., n-1.
Using this formula with left endpoints, we get:
[tex]L_4 = \dfrac{(5-3)}{4} \times [f(3) + f(3.5) + f(4) + f(4.5)][/tex]
L₄ = (1/2) x [0.250 + 0.361 + 0.250 + 0.178]
L₄ = 0.2405
Therefore, the estimated area under the graph of f(x) over the interval [3, 5] using four rectangles and left endpoints is approximately 0.2405 square units.
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Triangle Angles
Yes or No
The sum of 150, 20 , and 20 is more than 180 degrees, therefore, it is not possible to draw a triangle.
How to Determine if a Set of Angles will Form a Triangle?A triangle is simply a three sided polygon that has three sides and three interior angles. When all three interior angles are added together, the sum is equal to 180 degrees according to the triangle sum theorem.
If we have a set of angles with the measure of 150, 20, and 20 degrees, respectively, the sum of these is more than 180 degrees.
150 + 20 + 20 = 190 degrees.
Therefore, it is not possible to draw a triangle with those set of angles.
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26. Tyler has been saving his winning lottery tickets. He has 23 tickets that are worth a total of $175. If each ticket is worth either $5 or $10, how many of each does he have?
Select all numbers that are irrational.
Answer:
The irrational numbers are:
368.5468432...
14.19274128...
√.156
Nicole made 10 dozen cupcakes. She made 20% with chocolate icing, 30% with vanilla icing, and 50% with powdered sugar. How many of each kind of cupcake did she make?
Answer:
2 Dozen Chocolate, 3 Dozen Vanilla, 5 Dozen Sugar.
Explanation:
0.5 x 10 = 5.
0.3 x 10 = 3.
0.2 x 10 = 2.
Jenny has recently begun keeping her spending under better control, but she
still can't fully pay off her credit card. She maintains an average monthly
balance of about $1100, and her card charges a 24% annual interest rate,
which it bills at a rate of 2% per month.
How much is she spending on credit card interest per year?
Jenny is paying $334.82 per year on credit card interest.
How much is she spending on credit card interest?We need to find his annual interest payment which is:
= $1100 * 2% * 12 month
= $264
So, we have an annual interest payment of $264
We must account for interest that accumulates on the interest itself. To calculate this, we can use the formula: A = P (1 + r/n)^(nt) when P is $264, r is 24%, n is 12 and t is 1.
A = $264 * (1 + 0.24/12)^(12*1)
A = $264 * 1.26824179456
A = $334.815833764
A = $334.82.
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Huang buys 3 shirts that each cost the same amount, a pair of pants that cost $12, and he pays with a $100 bill. Which expression represents the amount of change Huang should receive? Select three options.
100 – (12(3x))
100 – (3x+12)
(100 – 12) – 3x
(100 – 12)(x+x+x)
100 – (x+x+x) – 12
Mark this and return
An expression that represents the amount of Huang's change include the following: A. 100 – (12(3x)).
How to write and determine an expression that represents the amount of Huang's change?In this scenario and exercise, you are required to write and determine an expression that represents the amount of change which Huang should receive from the seller.
This ultimately implies that, an expression that models or represents the amount of Huang's change would have the form;
Huang's change = Money presented - Total cost of 3 shirts
Huang's change = 100 - (12(3x))
By simplifying further, we have the following expressions;
Huang's change = 100 - 36x
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a cylinder has a radius of 6 cm and height 7 cm. Calculate the volume of the cylinder. (pie=22/7) and (v=pie^r 2 h)
Answer: The volume of the cylinder is 924 cubic centimeters.
Step-by-step explanation:
The formula to calculate the volume of a cylinder is V = πr^2h, where V is the volume, r is the radius of the base, and h is the height of the cylinder.
Given, radius (r) = 6 cm and height (h) = 7 cm.
Using the formula, we have V = (22/7) x 6^2 x 7 = 924 cubic centimeters.
Therefore, the volume of the cylinder is 924 cubic centimeters.
if a1= 9 and =-3a n-1 then find the value of a5
If a₁ = 9 and sequence aₙ = -3aₙ₋₁ , then the value of a₅ is approximately equal to 729.
To find the value of a₅, we need to use the recursive formula provided, which relates each term in the sequence to the previous one. The formula given is a bit unusual, as it defines each term in terms of the negative three times the previous term. However, we can use this information to work out the value of a₅.
Starting with a₁ = 9, we can use the recursive formula to find the next few terms of the sequence:
a₂ = -3a₁ = -3(9) = -27
a₃ = -3a₂ = -3(-27) = 81
a₄ = -3a₃ = -3(81) = -243
a₅ = -3a₄ = -3(-243) = 729
Therefore, the value of a₅ is 729. We can check that this is correct by verifying that it satisfies the given recursive formula:
a₄ = -3a₃ = -3(81) = -243
a₅ = -3a₄ = -3(-243) = 729
This confirms that our solution is correct.
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Verify that the given segments are parallel.
The verification of given segments in a triangle are parallel is as follow,
In triangle ABE, AC/ CE = BD/DE are in proportion ⇒ CD || AB.
In triangle RVS, VT/TR = VU/US are in proportion ⇒ UT || SR.
In the triangle ABE,
CD is the line segment divides AE and BE into equal parts.
AC = 1.5
CE = 1.5
BD = 1.5
DE = 1.5
AC/ CE = BD/DE
Line divides the two adjacent sides of a triangle are in proportion.
This implies ,
CD is parallel to AB.
In triangle RVS,
VT /TR = 90 /72
⇒VT /TR = 1.25
VU/US = 67.5/54
⇒VU/US = 1.25
This implies ,
VT/TR = VU/US are in proportion.
Hence , triangle proportionality theorem UT is parallel to RS.
Therefore, using triangle proportionality theorem in both the triangle that is,,
In triangle ABE , CD is parallel to AB and in triangle RVS , UT || RS.
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Which fraction has the same value as 0.28
Answer:
7/25
Step-by-step explanation:
0.28 = 28/100 = 7/25
10. i’d the area of a circle is 201.06 cm^2, find its diameter and circumference.
11. if m < MPL =63 degrees, find each measure
The diameter of the circle is 16.04 cm.
The circumference is 50.39 cm
How to solve for the diameterA = πr²
where A is the area of the circle and r is its radius.
square both sides
r = √(A/π) = √(201.06/π) = 8.02 cm
The diameter of the circle is twice the radius, so we can find it by multiplying the radius by 2:
d = 2r = 2(8.02) = 16.04 cm
Therefore, the diameter of the circle is 16.04 cm.
To find the circumference of the circle, we can use the formula:
C = 2πr
where C is the circumference and r is the radius. We already know the value of the radius, so we can substitute it into the formula:
C = 2π(8.02) = 50.39 cm
Therefore, the circumference of the circle is 50.39 cm.
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Help please! Show all your work.
Answer:
If y and x have a proportional relationship, then we can write an equation of the form y = kx, where k is a constant of proportionality.
To find the value of k, we can use the given values of y and x:
y = kx
24 = k(12)
k = 2
Now that we know k, we can use the equation to find the value of y when x=16:
y = kx
y = 2(16)
y = 32
Therefore, when x=16, y=32.
Please help me I need help
The series of transformations that would map polygon ABCDE onto polygon A'B'C'D'E' is given as follows:
A rotation followed by a translation.
What are transformations on the graph of a function?Examples of transformations are given as follows:
Translation: Translation left/right or down/up.Reflections: Over one of the axes or over a line.Rotations: Over a degree measure.Dilation: Coordinates of the vertices of the original figure are multiplied by the scale factor.For this problem, we have that the inclination of the figure changed, and the figure moved from the second quadrant to the first/fourth, hence the figure underwent a rotation of 90º counterclockwise about the origin.
The figure also had the vertices changed from the rotation, hence a translation was also applied.
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The United States has minted one-dollar silver coins called the American Eagle Silver Bullion Coin since 1986 . Each coin has a diameter of 40.6 millimeters and is 2.98 millimeters thick. The density of silver is 10.5 grams per cubic centimeter. Find the mass of an American Eagle Silver Bullion Coin to the nearest gram.
The mass of an American Eagle Silver Bullion Coin is about ( )
grams.
Answer:
41 grams
Step-by-step explanation:
trust i jus took it
The mass of an American Eagle Silver Bullion Coin is about 41 grams.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
We have to given that;
Each coin has a diameter of 40.6 millimeters and is 2.98 millimeters thick. The density of silver is 10.5 grams per cubic centimeter.
Hence, Volume is,
V = 3.14 x (40.6/2)² x 2.98
V = 3857.96 mm³
Since, 1000 mm³ = 1 cm³
Hence, The mass of an American Eagle Silver Bullion Coin is,
⇒ 33857.9 / 1000 x 10.5
⇒ 41 grams
Thus, The mass of an American Eagle Silver Bullion Coin is, 41 grams
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The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).
3,6,12,...
Find the 9th term.
Answer:
We can see that the sequence is formed by multiplying each term by 2 to obtain the next term. Therefore, the fourth term is 12 x 2 = 24, the fifth term is 24 x 2 = 48, and so on.
To find the ninth term, we can multiply the third term by 2 six times:
3 x 2^6 = 3 x 64 = 192
Therefore, the ninth term of the sequence is 192.
Help me… it’s so hard!
The solution of the each given equations:
(1) x = 9
(2) x = -2
(3) x = -2
(4) x = 26
(5) x = 3/5
(6) x = 13/12
(7) x = 15
(8) x = 26
(9) x = 7/3
(10) x = 5/8
We have to solve this given equation in on variable.
(1) Given equation is,
x - 7 = 2
x = 2 + 7 = 9
Hence, the solution is, x = 9
(2) Given equation is,
3x + 4 = -2
3x = -2 -4
3x = -6
x = -6/3 = -2
Hence, the solution is, x = -2
(3) Given equation is,
2x + 7 = x + 5
2x - x = 5 - 7
x = -2
Hence, the solution is, x = -2
(4) Given equation is,
x/2 = 13
x = 2*13 = 26
Hence, the solution is, x = 26
(5) Given equation is,
5(2 + x) = 13
10 + 5x = 13
5x = 13 - 10
5x = 3
x = 3/5
Hence, the solution is, x = 3/5
(6) Given equation is,
6(2x - 1) = 7
12x - 6 = 7
12x = 7 + 6 = 13
x = 13/12
Hence, the solution is, x = 13/12
(7) Given equation is,
2x/5 = 6
2x = 6*5 = 30
x = 30/2 = 15
Hence, the solution is, x = 15
(8) Given equation is,
x/2 = 13
x = 2*13 = 26
Hence, the solution is, x = 26
(9) Given equation is,
(x - 1)3 = 4
3x - 3 = 4
3x = 4 + 3 = 7
x = 7/3
Hence, the solution is, x = 7/3
(10) Given equation is,
(2x - 1)4 = 1
8x - 4 = 1
8x = 1 + 4
8x = 5
x = 5/8
Hence, the solution is, x = 5/8
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Determine the number of triangular films that can be formed by using the measurements a = 17 cm,b = 23 cm, and m∠A = 40°. Solve each triangle. Round to the nearest tenth.
PLS HELP!!!!
The solution of the triangle have been shown below.
How do you solve the triangle?To solve a triangle means to find the values of all its angles and sides. The method for solving a triangle depends on the given information.
Given that;
a/Sin A = b/SinB
Sin B = bSin A/a
B = Sin-1(bSin A/a)
B = Sin-1 (23Sin 40/17)
B = 60.4 degrees
Then we have that
C = 180 - (40 + 60.4)
= 79.4 degrees
Then;
a/sinA = c/Sin C
c= aSin C/Sin A
c = 17 * Sin 79.4/Sin 40
c = 16.71/0.643
c = 25.9
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pls helppp this is so confusinggg
Answer: .025
Step-by-step explanation: we first have to find the distance between each term we divide 12/5 by 6 you have to change it into multiplication so you invert is to 12/5 times 1/6 you then get 12/30 you reduce that to become 2/5 if you want to test this to make sure it is right then you can. you then use a formula but I can't remember it so then you can just multiply it several times to find the answer. you get the answer by round from the thousandths
A train running between two stations 50 Km apart arrives on time if it travels at an
average speed of 60 km/h. How late will it be if travels at an average speed of 50 Km/h?
If the train travels at an average speed of 50 Km/h, it would be late by 10 minutes.
How late will the train be if it travels at an average speed of 50 Km/h?Speed is simply referred to as distance traveled per unit time.
It is expressed as:
Speed = distance / time
Given that the train running between two stations 50 Km apart arrives on time if it travels at an average speed of 60 km/h.
The time taken by the train to travel 50 km at an average speed of 60 km/h can be calculated using the formula:
Speed = distance / time
time = distance / speed
time = 50 km / 60 km/h
time = 5/6 hour
Next, if the train travels at an average speed of 50 km/h, the time taken to cover the same distance of 50 km would be:
Speed = distance / time
time = distance / speed
time = 50 km / 50 km/h
time = 1 hour
Now, the difference in time between the two scenarios would be:
time difference = 1 hour - 5/6 hour
time = 1/6 hour
Convert to minutes
time = 1/6 × 60
time = 10 minutes
Therefore, the train would be late by 10 minutes.
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A pharmaceutical company develops a new generation of blood pressure medication that may also help with cholesterol. The research and development department advertises in the local papers and online seeking volunteers who already take blood pressure medication to participate in a study for the new medication. Two hundred people volunteer, and their current blood pressure along with their cholesterol levels are measured. They are randomly assigned to two groups, one that takes the new generation of blood pressure medication and one that takes the original medication. At the end of the study, the subjects’ blood pressure and cholesterol levels are measured. The group with the new medication is found to have a significantly lower overall blood pressure than the original medication group. It was also determined that the new medication did not significantly lower cholesterol levels. Which of the following is a valid conclusion? Inferences can be made about all blood pressure patients, and the conclusion can be made that the new medication lowers blood pressure more effectively than the original medication for patients taking blood pressure medication. Inferences can be made about all blood pressure patients, but the conclusion cannot be made that the new medication lowers blood pressure more effectively than the original medication for patients taking blood pressure medication. Inferences cannot be made about all blood pressure patients, and the conclusion can be made that the new medication lowers blood pressure more effectively than the original medication for patients taking blood pressure medication. Inferences cannot be made about all blood pressure patients, and the conclusion cannot be made that the new medication lowers blood pressure more effectively than the original medication for patients taking blood pressure medication.
The valid inference based on the information provided is:
Inferences cannot be made about all blood pressure patients, and the conclusion cannot be made that the new medication lowers blood pressure more effectively than the original medication for patients taking blood pressure medication.
What's the information about?The study involved only 200 volunteers who were already taking blood pressure medication. This is a relatively small sample size and may not be representative of all blood pressure patients. Inferences about all blood pressure patients cannot be made from this limited sample.
While the group taking the new medication showed a significantly lower overall blood pressure than the group taking the original medication, it was also mentioned that the new medication did not significantly lower cholesterol levels.
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From the pharmaceutical company's test, we can conclude that the new medication is more effective than the original in lowering blood pressure for patients already taking blood pressure medication. However, this conclusion doesn't apply to all blood pressure patients.
Explanation:A valid conclusion from the scenario about the pharmaceutical company's testing of its new medication would be the following: Inferences cannot be made about all blood pressure patients, though the conclusion can be made that the new medication lowers blood pressure more effectively than the original medication for patients who are already taking blood pressure medication. The study has a specific sample population: people who are already taking blood pressure medication. We can't extrapolate this to all blood pressure patients, because the study didn't include those who don't take any medication. However, it was observed that the new medication was more effective in lowering blood pressure than the original one within this specific group.
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1. If 2x + 3y = 14 and 3x + 2y = 12, then x + y = ?
A) 5
B) 6
C) 7
D) 8
Answer:
x + y = 5.2-----------------
Given system:
2x + 3y = 14 and3x + 2y = 12Add up the two equations to get same coefficient on both variables:
2x + 3x + 3y + 2y = 14 + 125x + 5y = 265(x + y) = 26x + y = 26/5x + y = 5.2As we see none of the choices match the answer. It means either question or answer choices are inaccurate.
7
Select the correct answer from the drop-down menu.
Which term best fits the sentence?
After you make a decision, the next step in the decision-making process is to
whether you made the right choice.
Reset
Next
This step will help you det
Answer:
Step-by-step explanation: bot
Can anyone help me answer this question?
Find G(x) = sin^2(x) + 3cos(x), when x=
[tex]g(x)=\sin^2(x)+3\cos(x) \\\\[-0.35em] ~\dotfill\\\\ g(\pi )=\sin^2(\pi )+3\cos(\pi )\implies g(\pi )=[\sin(\pi )]^2+3\cos(\pi ) \\\\\\ g(\pi )=(0)^2+3(-1)\implies g(\pi )=-3[/tex]
CAN SOMEONE HELP WITH THIS QUESTION?
The displacement of the particle at time t is 11t - t², and the total distance traveled by the particle in 2 seconds is 9 meters.
The displacement of a particle moving along a straight line can be calculated by finding the area under the velocity-time graph. In this case, the velocity function is v(t) = 11 - 2t for 0 ≤ t ≤ 2.
To find the displacement at time t, we need to find the area under the velocity-time from t = 0 to t = t. The formula for displacement is the integral of the velocity function with respect to time:
s(t) = ∫v(t) dt = ∫(11 - 2t) dt = 11t - t²
Therefore, the displacement of the particle at time t is given by s(t) = 11t - t².
To find the total distance traveled by the particle in 2 seconds, we need to consider both the forward and backward motion. Since the velocity is decreasing at a constant rate of 2 m/s², the particle will come to rest at t = 11/2 seconds.
The total distance traveled by the particle in 2 seconds is given by:
d(2) = ∫|v(t)| dt = [tex]\int\limits^{11/2}_0[/tex] v(t) dt + [tex]\int\limits^2_{11/2}[/tex]|v(t)| dt from 11/2 to 2
= [[tex]\int\limits^{11/2}_0[/tex](11t - t²) ] + [[tex]\int\limits^2_{11/2}[/tex](-11t + t²) ]
= (121/2 - 121/4) + (4 - 121/2) = 9 meters
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simplify the expression 4√ 2 + 2√ 32? 12/2 6/32 12/32 36/2
The solution is, simplification of the expression 4√ 2 + 2√ 32 is 12√2 .
We know that,
An expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them. In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Here, given expression is,
4√ 2 + 2√ 32
=4√ 2 + 2√ 16 × 2
we know that,
√16 = 4
so, we get,
=4√ 2 + 2√2 × 4
=4√ 2 + 8√2
=12√2
Hence, The solution is, simplification of the expression 4√ 2 + 2√ 32 is 12√2 .
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