On September 1, 2018, Dubai Company should record the following entry:
Debit: Cash (or Note Payable) - $120,000
Credit: Note Payable (or Cash) - $120,000
When Dubai Company borrows $120,000 from ADCB Bank by signing a 4-month, 12% interest-bearing note, they need to record the transaction in their books. The entry will depend on whether they received the cash or the note itself. If they received the cash, the entry would be a debit to Cash and a credit to Note Payable, both for $120,000. If they received the note, the entry would be a debit to Note Payable and a credit to Cash, both for $120,000.
The entry represents the initial recognition of the note payable on Dubai Company's books. It acknowledges the liability they have incurred by borrowing funds from ADCB Bank. The note payable will be due in 4 months and carries an interest rate of 12%. It is important for Dubai Company to accurately record this transaction to maintain proper financial records and fulfill their obligations to ADCB Bank.
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Why are there two solutions for the equation |6 + y| = 2? Explain.
(there should be a solution and an explanation onto why there is two answers)
Answer:
Sample response: The absolute value symbol in the equation indicates two solutions because absolute value is the distance from a number to zero on a number line. Two different directions, to the right and to the left, will determine the
Step-by-step explanation:
Find the value of f(5) for the function.
f(x) = -5(x + 4)
f(5)=(sImplify your answer.)
Answer:
f(5) = -45
Step-by-step explanation:
f(x) = -5(x + 4)
f(5)f(5) = -5(x + 4)
f(5) = -5(5 + 4)
f(5) = -5(9)
f(5) = -45
can you guys help me with number 7 only thank youuu
Write a coordinate proof to prove that the segment that joins the vertex angle of an isosceles triangle to the midpoint of its base is perpendicular to the base .
Answer:
Given: An Isosceles Triangle ABC with a vertex at B.
Midpoint M of the base AC.
To Prove: BM is perpendicular to AC.
Proof:
Let the coordinates of the points of the isosceles triangle be given as:
A = (-k, 0)
Vertex, B = (0,a)
C = (k, 0)
Midpoint, M = (0,0)
Slope of the base segment, AC:
\(=\dfrac{dy}{dx} = \dfrac{0 - 0}{k - (-k)} = \dfrac{0}{2\cdot k}\)
Slope of the base segment, AC= \(\dfrac{0}{2\cdot k}=0\)
Slope of the segment that joins the vertex angle of an isosceles triangle to the midpoint of its base, BM.
\(\text{Slope of BM =} \dfrac{0 - a}{0 - 0} = \dfrac{-a}{0}\\\)
\(\text{Slope of BM = } \dfrac{-a}{0}\) = Undefined
Two lines are perpendicular if the gradient of one is a negative reciprocal of the other.
Since \(-\dfrac{a}{0}\) is a negative reciprocal of 0 for arbitrary values of a, BM and AC are perpendicular.
This concludes the proof.
Mitosis is a process by which 1 cell divides and becomes 2 cells, those 2 cells divide and become 4 cells, and so on. Write an equation for the nth term of the geometric sequence giving the numbers of cells at each stage of this process, where a1=1. Then find a10.
Answer:
An equation for the nth term is aₙ = 2ⁿ⁻¹
and a₁₀ = 512
Step-by-step explanation:
From the question, 1 cell divides and becomes 2 cells, those 2 cells divide and become 4 cells, and so on
∴The sequence will be
1,2,4, ..., n
From the formula
aₙ = a₁rⁿ⁻¹
Where aₙ is the nth term
a₁ is the first term
n is the number of terms
and r is the common ratio
From the sequence,
a₁ = 1,
r = a₂/a₁ = 2/1 = 2
∴ The nth term (aₙ) will be
aₙ = (1)(2)ⁿ⁻¹
aₙ = 2ⁿ⁻¹
Hence, an equation for the nth term is aₙ = 2ⁿ⁻¹
To find a₁₀, substitute n= 10 into the equation
aₙ = 2ⁿ⁻¹
Then
a₁₀ = 2¹⁰ ⁻ ¹
a₁₀ = 2⁹
a₁₀ = 512
∴ a₁₀ = 512
Serenity has a toy car collection. She keeps some in a display case and the rest on the
wall.
104
of her toy cars are on the wall, and 74% of her toy cars are in the display
case. What is the total number of toy cars in Serenity's collection?
If 74% are in the display, then 100% - 74% = 26% are hung on the wall.
This means 104 cars is 26% of her collection.
To find the total collection divide the number on the wall by the percentage of the collection:
104/0.26 = 400
The total number of her collection is 400 cars.
Which of the following is true about the expression 7 + V3?
Answer:
B
Step-by-step explanation:
irrational is incomplete square roots, pi, and infinite numbers
Answer:
Only B
Step-by-step explanation:
7 is rational, and √3 is irraltional.
answers c and d both are both wrong, because they dosen't say that one is rational and the other is irrational.
A is wrong, because if you add a rational number to a irrational number, it is still irrational.
Hope this helped!
Anyone know it pls help quick
The name for the marked angle is given as follows:
B. <BAD.
How to obtain the name of an angle?To obtain the name of an angle in a triangle, we must first obtain the three vertices that compose the angle, which in this case are given as follows:
B, A and D.
Then we must add the < symbol, and consider that the middle vertex must be necessarily be at the middle of the notation, as follows:
<BAD.
Hence option B represents the correct option in the context of this problem.
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find the intervals of increase and decrease of 3/512(x-4)^2(x-8)(x-10)(x^2+16)
The given function is strictly decreasing in interval (−∞, 4) & trictly increasing in interval (4, −∞).
What is an increasing and decreasing functions?
For a given function, y = F(x), the function is known as an increasing function if the value of y increases as the value of x increases, and the function is known as a decreasing function if the value of y decreases as the value of x increases.
We have,
\(\frac{5}{512}\left(x-4\right)^2\left(x-8\right)\left(x-10\right)\left(x^2+16\right)\)
\(\frac{d}{dx}\left(\frac{5}{512}\left(x-4\right)^2\left(x-8\right)\left(x-10\right)\left(x^2+16\right)\right)\)
\(=\frac{5}{512}\frac{d}{dx}\left(\left(x-4\right)^2\left(x-8\right)\left(x-10\right)\left(x^2+16\right)\right)\)
\(f'(x)=\left(x-4\right)^2,\:g=\left(x-8\right)\left(x-10\right)\left(x^2+16\right)\)
\(=\frac{5}{512}\left(\frac{d}{dx}\left(\left(x-4\right)^2\right)\left(x-8\right)\left(x-10\right)\left(x^2+16\right)+\frac{d}{dx}\left(\left(x-8\right)\left(x-10\right)\left(x^2+16\right)\right)\left(x-4\right)^2\right)\)\(=\frac{5}{512}\left(2\left(x-4\right)\left(x-8\right)\left(x-10\right)\left(x^2+16\right)+\left(4x^3-54x^2+192x-288\right)\left(x-4\right)^2\right)\)
\(f'(x)=\frac{5\left(x-4\right)\left(3x^4-53x^3+300x^2-816x+1856\right)}{256}\)
The roots (zeros) are the x values where the graph intersects the x-axis. To find the roots (zeros), replace y with 0 and solve for x.
x = 4, 4i, −4i, 10, 8
∴ f′(x) = 0
x = 4,
Now, the point 4 divides the real line into two disjoint intervals i.e., (−∞, 4) and (4, −∞)
In interval (−∞, 4), f′(x) < 0
Hence, the given function (f) is strictly decreasing in interval (−∞, 4)
In interval (4, −∞), f′(x) > 0
Hence, the given function (f) is strictly increasing in interval (4, −∞)
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Question: Order the rational numbers in descending order by dragging the numbers in the red box. *imagen*
Writing the equation of the line through two given points(-1,5) (3,-1). y=mx+b form
Hello!
First, let's discover the slope using the formula below:
\(\text{slope}=\frac{y_2-y_1}{x_2-x_1}\)Let's use (x1, y1) as (-1, 5) and (x2, y2) as (3, -1). Replacing it in the formula:
\(\text{slope}=\frac{-1_{}-(5)_{}}{3_{}-(-1)_{}}=\frac{-1-5}{3+1}=\frac{-6}{4}=-\frac{3}{2}\)So, we know one part of the equation, that m = -3/2.
Now, we have to calculate b:
To do it, let's use the point (x2, y2) = (3, -1) again:
\(\begin{gathered} y=mx+b \\ -1=3\cdot(-\frac{3}{2})+b \\ -1=-\frac{9}{2}+b \\ -b=-\frac{9}{2}+1 \\ -b=-\frac{7}{2} \\ b=\frac{7}{2} \end{gathered}\)So, we also know that b = 7/2.
Now, writing it as an equation:\(\begin{gathered} y=mx+b \\ y=-\frac{3}{2}x+\frac{7}{2} \end{gathered}\)what a unit of measurement equal to one thousand meters?
A unit of measurement equal to one thousand meters is called a kilometer.
A kilometre is a length measurement in the metric system that is equivalent to 1000 metres because the word "kilo" implies "one thousand". Longer distances, such those between cities or nations or the duration of a marathon, are frequently measured in kilometers. The lower length units of the metric system, such as meter's, centimeters, and millimeters, can be used to measure shorter distances.
A length measurement in the metric system that is 1,760 yards or 5,280 feet long. A metric capacity unit is one thousandth of a liter. a length expressed as a thousandth of a meter in meters. a common measure of time that is equal to 60 seconds and 1/60 of an hour.
Therefore, the kilometer is equal to one thousand meter's.
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How is rewriting literal equations useful when solving problems
6² subtracted 4 divided 2
Answer: For problem a is 16 and problem b is 34 i wasn't sure which problem it was so i did both
Step-by-step explanation:
problem a problem b
(6²-4)/2 or 6²-4/2
| |
\(6^2=36\\\) \(6^2=36\)
36-4=32 36-4/2
32/2=16 36-2=34
16 34
15% of washing machines manufactured in a factory break down and are returned in the first year of operation. suppose that 32 machines are purchased by a laundromat, find the probability that at least one washing machine breaks down in the first year of operation.
The probability that at least one washing machine breaks down in the first year of operation is approximately 0.9814 or 98.14%.
To find the probability that at least one washing machine breaks down in the first year of operation, we can use the complement rule and subtract the probability of none of the machines breaking down from 1.
Given that 15% of washing machines break down, and 32 machines are purchased by the laundromat, we can calculate the probability using the binomial distribution.
The probability that a single washing machine breaks down in the first year is 15% or 0.15. Since each machine operates independently, we can treat the breakdown of each machine as a Bernoulli trial.
Let's define success as a machine breaking down and failure as a machine not breaking down. The probability of success is 0.15, and the probability of failure is 1 - 0.15 = 0.85.
To find the probability that none of the machines break down, we use the binomial distribution formula:
P(X = k) = C(n, k) * \(p^k\) * \((1 - p)^{n - k}\)
In this case, we want to calculate the probability that k = 0, i.e., none of the machines break down. The formula becomes:
P(X = 0) = C(32, 0) * \(0.15^0\)* \(0.85^{32}\)
Now, to find the probability that at least one machine breaks down, we subtract the probability of none breaking down from 1:
P(at least one breakdown) = 1 - P(X = 0)
By plugging in the values and performing the calculations, we can find the probability that at least one washing machine breaks down in the first year of operation for the laundromat.
P(X = 0) = C(32, 0) * \(0.15^0\)* \(0.85^{32}\)
= 1 * 1 * \(0.85^{32}\)
≈ 0.0186
P(at least one breakdown) = 1 - P(X = 0)
= 1 - 0.0186
≈ 0.9814
Therefore, the probability that at least one washing machine breaks down in the first year of operation is approximately 0.9814 or 98.14%.
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Me ayudan redondea tu respuesta ala centésima más cercana
Using a trigonometric relation we can see that:
CA = 5.03
How to find the value of AC?On the image we can see a right triangle, we can see that the angle B is 40°, and the length of BC is 6 units.
We want to get CA, which is the opposite cathetus, if we use the trigonometric relation:
tan(B) = (opposite cathetus)/(adjacent cathetus)
Then we will get:
tan(40°) = CA/6
Solving for CA
CA = 6*tan(40°)
CA = 5.03
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What is the value of 2021 - 2223 +2425
find the value of x.
Answer:
30
Step-by-step explanation:
65+75= 140
180-140 = 40
Transversal Angle so Angles are corresponding
40+110=150
180-150=30
Answer 30 degrees
Answer:
Step-by-step explanation:
In ΔABE
∠A + ∠B + ∠AEB = 180 {Angle sum property of triangle}
65 + 75 + ∠AEB = 180
140 + ∠AEB = 180
∠AEB = 180 - 140 = 40
∠CED = ∠AEB {Vertically opposite angles}
∠CED = 40
ΔDCE,
∠D + ∠C + ∠CED = 180
x + 110 + 40 = 180
x = 180 - 150
x = 30°
PLEASE HELP ASAP!!!!
Use the graph of ƒ to find x if ƒ(x) = 2.
x = –0.5
x = –8
(–∞, –0.5)
x = 0.5
Answer:
\({ \tt{f(x) = 2}} \\ when \: y = 2 \\ { \bf{x = - 0.5}}\)
There is some water in a tank. Water is then poured into the tank until the volume of the water is 8 times as much as the initial volume of water in the tank. When another 16.75 liters of water is added, the total volume of water in the tank becomes 20.35 liters. How much water is in the tank at first. Give your answer in liters
Answer:
0.45 liters
Step-by-step explanation:
Let the initial amount of water in the tank be x.
Then, the volume of water was 8 times as much as the initial volume, that is 8x.
Then, another 16.75 liters of water is added and the total volume of water is now 20.35 liters.
This means that the amount of water in the tank is now:
8x + 16.75 = 20.35
Let us find x:
8x = 20.35 - 16.75
8x = 3.6
x = 3.6/8 = 0.45 liters
There was 0.45 liters of water in the tank initially.
A rental car company offers a rental package for a mid-size car. The cost is comprised of a fixed $40 administrative fee for the cleaning and maintenance of the car plus a rental cost of $45 per day. Using x for the number of days and y for the total cost in dollars, construct a linear function to model the relationship between the number of days and the total cost of renting a mid-size car.
Answer:
y=45x+40
Step-by-step explanation:
what is the 8th term in a geometric sequence where the first term is equal to 4 and the common ratio is 2?
The 8th term in the geometric sequence, where the first term is 4 and the common ratio is 2, is equal to 512.
In a geometric sequence, each term after the first is obtained by multiplying the preceding term by a constant called the common ratio. The formula for the nth term in a geometric sequence is given by:
a_n = a_1 * r^(n-1)
In this case, we are given that the first term (a_1) is equal to 4 and the common ratio (r) is 2. To find the 8th term (a_8) of the sequence, we can substitute these values into the formula:
a_8 = 4 * 2^(8-1)
Simplifying:
a_8 = 4 * 2^7
= 4 * 128
= 512
Therefore, the 8th term in the geometric sequence, where the first term is 4 and the common ratio is 2, is equal to 512.
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Pls Help, I will give 5 star and thanks, Plus Brain to correct answer, Plus extra points if correct!!
The table shows the relationship between the participants walking and running for the week's cross-country practices.
Walk (laps) 3 B 15
Run (laps) 5 10 D
Total (laps) A C 40
At this rate, how many laps will the participants walk if the total distance is 32 miles? How many miles will they run?
They will walk 7 laps and run 17 laps for a total of 32 miles.
They will walk 12 laps and run 20 laps for a total of 32 miles.
They will walk 14 laps and run 18 laps for a total of 32 miles.
They will walk 10 laps and run 22 laps for a total of 32 miles.
Using proportional relationships, we can say that They will walk 12 laps and run 20 laps for a total of 32 miles.
What is the direct proportional relationship?In a direct proportional relationship, the output variable is found by the multiplication of the input variable and the constant of proportionality k, as follows:
y = kx.
Given that we know this, they walk 3/8 of the 8 miles that make up the complete distance. Run 5/8 of the route.
The following are the proportional relationships for the distances:
Walked = 3/8 x Total Distance.Ran = 5/8 x Total Distance.For a total distance of 32 miles, the distances walked and run are given:
Walked: 3/8 x 32 = 3 x 4 = 12 miles = 12 laps.Ran: 5/8 x 32 = 5 x 4 = 20 miles = 20 laps.therefore, They will walk 12 laps and run 20 laps for a total of 32 miles as per the proportional relation.
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EASY
I DON'T REMEBER HOW TO DO THIS
Solve the following inequality.
(m - 2)/3 <= - 4 OR 3m - 8 > 4
m≤ [?] OR_m> [ ]
Answer:
m<=-10 OR m>4
Step-by-step explanation:
Just solve as equation, just imagine "<=" as "=" and solve it as normally:
+ (m-2)/3<=-4 <=> m-2<=(-4).3=-12 <=>m<=-12+2=-10 <=>m<=-10
+ 3m-8>4 <=> 3m>4+8=12 <=> m>4
I need help on this please. Im thankful some guys helped me on a problem but I need to get my grade up. -2 3/4 ÷ 5/-9. Then I need help with this problem. -3 1/2 ÷
1 1/4. The last problem I need help with is - 1 5/6 ÷ -3 1/3 =
Answer:
1 5/6 ÷ -3 1/3 =0.55
Step-by-step explanation
A lottery ticket on which the odds of winning are 1 in 1 million is given to every person in attendance at a college football game. The most likely result is that there will be
a. no winners in the stadium.
b. one winner in the stadium.
c. many winners in the stadium.
Answer:
The most likely result is that there will be no winners in the stadium.
Step-by-step explanation:
The odds of winning are 1 in 1 million, which means that there is a 99.9999% chance that any given person will not win. If there are 100,000 people in attendance at the game, then the expected number of winners is 0.1.
which of the following statements is true? a high correlation is insufficient to establish causation on its own. if the two variables of a scatterplot are strongly related, this condition implies causation between the two variables. only a correlation equal to 0 implies causation. a correlation of 1 or -1 implies causation.
A high correlation is insufficient to establish causation on its own.
Whoever answers correctly gets BRAINLIESTand 100 points
A rectangular prism with a length of 3.8 meters and a width of 1.5 meters has a volume of 16.53 cubic meters.
What is the height of the prism?
2.9 m
6.525 m
11.23 m
21.83 m
Answer:
2.9 meters.
Step-by-step explanation:
First we multiply the length, 3.8, by the width, 1.5, to get the base, 5.7 (this step is not entirely necessary, but makes it much easier). Then we divide the volume, 16.53, by the base, 5.7, to get the height, 2.9 meters.
Answer:
i think its 21.83 i may be wrong but im pretty sure its 21.83
Step-by-step explanation:
use a calculator to evaluate f(x) = log(x) at the given value of x. round your result to three decimal places.
It's important to note that the logarithm function is defined only for positive values of x. f(10) = log(10) ≈ 1.000.
To evaluate f(x) = log(x) at a given value of x, you need to input that value into your calculator and then apply the logarithm function to it. For example, let's say you want to evaluate f(x) = log(x) at x = 10. Here's how you would do it:
1. Input 10 into your calculator.
2. Press the "log" button to apply the logarithm function.
3. Your calculator should display the result, which is approximately 1.000 (rounded to three decimal places).
So, f(10) = log(10) ≈ 1.000.
It's important to note that the logarithm function is defined only for positive values of x. If you try to evaluate f(x) = log(x) at a negative value of x, your calculator will give you an error message.
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determine if the following statement is true or false. justify the answer. a linearly independent set in a subspace h is a basis for h. question content area bottom part 1 choose the correct answer below. a. the statement is false because the subspace spanned by the set must also coincide withh. b. the statement is false because the set must be linearly dependent. c. the statement is true by the spanning set theorem. d. the statement is true by the definition of a basis.
The statement is false because the set must be linearly independent and span the subspace to be a basis for the subspace.
In linear algebra, a basis for a subspace is a set of vectors that are linearly independent and span the subspace. Let's analyze the given options to justify the answer:
a. The statement is false because the subspace spanned by the set must also coincide with h.
This option is incorrect because the subspace spanned by the set does not necessarily have to coincide with h. The key requirement is that the set spans the subspace h and is linearly independent.
b. The statement is false because the set must be linearly dependent.
This option is incorrect because the set must be linearly independent to form a basis. A linearly independent set means that no vector in the set can be written as a linear combination of the other vectors in the set.
c. The statement is true by the spanning set theorem.
This option is incorrect. While a spanning set is necessary to form a basis, it is not sufficient. The set must also be linearly independent.
d. The statement is true by the definition of a basis.
This option is correct. The definition of a basis states that a set is a basis for a subspace if it is linearly independent and spans the subspace. Therefore, the statement is true based on the definition of a basis
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