The gardener knows how much is the bag of grass seed. To know the cost of grass seed required to plant the lawn, he needs to know how big is the lawn (surface area) and how much grass seed is in the bag; more specifically, how big is the area that can be planted per grass seed bag.
if the vertex of triangle abc is A(2, 3) B(4, 5) C(6, 2) . find the reflection of it through y axis
Answer:
see explanation
Step-by-step explanation:
Under a reflection in the y- axis
a point (x, y ) → (- x, y ) , then
A (2, 3 ) → A' (- 2, 3 )
B (4, 5 ) → B' (- 4, 5 )
C (6, 2 ) → C' (- 6, 2 )
The July bank statement sent by the bank to ABC company shows a balance of cash on deposit at July 31 of Br.4,964.47 Assume that on July 31, assume the on July 31, ABCs ledger shows a bank balance of Br. 4 173. 83. 1. A deposit of Br 410. 90 made after banking hours and doesnt appear in the bank statement2. A check drawn for Br. 79 had been erroneously charged by the bank Br.973. For checks issued in July have not yet been paid by the bank (outstanding checks). : Theses checks are;- Check No date amount 801 June 15 ---Br.100,00 888 July 24 ----Br. 10.25 890 July 27--- Br. 294.50 891 July 30 ---Br. 205.004. A check written for birr 210 had been incorrectly charged by the bank as birr 120 5. Proceeds from collection of a interest bearing note receivable from David. ABC Company had left this note with the banks collection department. The face amount of the note was birr 500 6. Br. 24.75 interest earned on average account balance during July7. A check for Br. 10 returned with the statement had been recorded in the check register as Br. 100. The check was for the payment of an obligation to Davis Equipment Company for the purchase of office supplies on account 8. Br. 5,00 fee charged by bank for handling collection of note receivable 9. Br. 50.25 check from customer John deposited by ABC company charged bank as Non sufficient fund (NSF) 10. Br. 12.70 service charged by bank for the month of July. 11. Check number 875 was issued July 20 in the amount of Br 85 but was erroneously recorded in the cash payment Journal as Br 58 for payment of telephone expense prepare bank reconcilation and journal entry
The bank reconciliation shows an adjusted bank balance of Br.5,301.42 and an adjusted ledger balance of Br.4,173.83.
To prepare the bank reconciliation and journal entry for ABC Company based on the given information, we need to compare the transactions recorded in ABC's ledger with the transactions shown in the bank statement. Here's the bank reconciliation:
1. Bank Statement Balance:
Cash on deposit at July 31: Br.4,964.47
2. Adjusted Bank Balance:
Bank Statement Balance: Br.4,964.47
3. Deposit not on the statement: + Br.410.90
(Adjusted Bank Balance: Br.5,375.37)
Erroneously charged check: + Br.79
(Adjusted Bank Balance: Br.5,454.37)
Outstanding checks:
Check 801: - Br.100.00
Check 888: - Br.10.25
Check 890: - Br.294.50
Check 891: - Br.205.00
(Adjusted Bank Balance: Br.4,844.62)
4. Incorrectly charged check: + Br.90
(Adjusted Bank Balance: Br.4,934.62)
5. Collection of interest-bearing note: + Br.500
(Adjusted Bank Balance: Br.5,434.62)
6. Interest earned: + Br.24.75
(Adjusted Bank Balance: Br.5,459.37)
7. Incorrectly recorded check: - Br.90
(Adjusted Bank Balance: Br.5,369.37)
8. Collection fee: - Br.5.00
(Adjusted Bank Balance: Br.5,364.37)
9. NSF check: - Br.50.25
(Adjusted Bank Balance: Br.5,314.12)
10. Service charge: - Br.12.70
(Adjusted Bank Balance: Br.5,301.42)
Adjusted Ledger Balance:
Bank Balance in ABC's Ledger: Br.4,173.83
Reconciled Bank Balance: Br.5,301.42
Reconciled Ledger Balance: Br.4,173.83
Journal Entry:
To record the bank reconciliation, we make the following journal entry:
Debit: Cash (Ledger Balance adjustment) - Br.5,301.42
Credit: Cash (Bank Statement Balance adjustment) - Br.4,964.47
Credit: Miscellaneous Income/Expense - Br.336.95 (the difference between the two balances)
This journal entry ensures that the ledger balance matches the reconciled bank balance by adjusting for the discrepancies identified during the reconciliation process.
The journal entry reflects the necessary adjustments to reconcile the two balances, with a debit to Cash (Ledger Balance adjustment), a credit to Cash (Bank Statement Balance adjustment), and a credit to Miscellaneous Income/Expense to account for the difference.
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what is the center of the circle with a diameter having endpoints
Answer:
(0.5, 2)
Step-by-step explanation:
Since the y coordinates are the same, the distance is between the x values
4 - -3
4+3 = 7
The distance is 7
1/2 the distance would be the center
7/2 = 3.5
Add this to the left coordinate
The x coordinate of the center is -3 + 3.5 = .5
The y coordinate is 2
convert this into a standard number
\(10^{6}\)
Answer:
1,000,000
Step-by-step explanation:
The attached place value chart shows the power of ten associated with each number place in a decimal number.
ApplicationYou have ...
1 × 10⁶ = 1,000,000
(Put the multiplier digit in the appropriate number place, and fill the remaining spaces with zeros. The digits 32,465 on the chart can be ignored.)
__
Additional comment
For powers of 10, the exponent (6 in this case) tells you the number of zeros to the right of the digit 1. That is, 10^6 is 1 followed by 6 zeros:
1,000,000
Burger town sells cheeseburgers for $7.95 each plus an additional $1.00 for each extra toppings, t. Which of the following equation best represents the cost, c, of a
Answer: $7.95+$1t ?
Step-by-step explanation:
Answer:
I assume the answer would be the burger plus toppings is equal to cost so
7.95+t*1.00=c
a student multiplied 48×42 instead of 48 by 24. By how much was is his answer off
Answer:
864
Step-by-step explanation:
time that is 1000 times greater than one second
The word kilosecond is used to describe a time unit that is 1000 times greater than one second.
How to define a unit time by using SI units and preffixes
In this problem we find a time unit that combines a standard SI unit and a preffix that describes a scale. In other words, we must look up for a derived unit from a fundamental unit and a preffix.
According to the SI, second is the fundamental unit of time and the Greek preffix kilo- is used to a describe thousand times a given unit. Therefore, the word kilosecond is used to describe a time unit that is 1000 times greater than one second.
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3 6 9 12 15 18 21 24 27 30 is odd or even numbers?
Answer: Half of them are even and half of them are odd.
Step-by-step explanation:
The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.
The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.
Therefore, out of the given numbers, half of them are even and half of them are odd.
________________________________________________________
How is the graph of log (x + 3) translated from the graph of log x?
shifted down 3 units
shifted left 3 units
shifted up 3 units
shifted right 3 units
shifted left 3 units
Graphed Below:
red line: log (x + 3)blue line: log (x)Anything helps :) thank you
Answer:
the first one is (23)
number 7 is ( 34.069)
Step-by-step explanation:
5x-5=3x +17
what is the answer?
Answer:
do 8x12 maybe
Step-by-step explanation:
im sorry i hope this helps
Apply the distributive property to factor out the greatest common factor.
24+32p= _____
Answer:
8(3+4p)
Step-by-step explanation:
8 goes into 24 and 32, so it can be factored out:
\(24+32p=8(3+4p)\)
Answer:
8(3 + 4p)
Step-by-step explanation:
Factor 24 + 32p
First, factor out the GCF. In this case, the GCF is 8, and we have
8(3 + 4p)
We can't factor anymore so the answer is 8(3 + 4p)
I am a parallelogram. Two of my sides are parallel to the bottom of the paper. The endpoints of the bottom side are at (2, 5) and (9, 5). The slope of the line segments that form my two sides is 0.75, and the length of each side is 5 units. What are my other two vertices?
According to the information, the vertex at the top left of the parallelogram is (4, 8.25). Thus, the other two vertices of the parallelogram are (2, 5), (9, 5), (7, 8), and (4, 8.25).
How to find the vertices of the parallelogram?To find the vertex of the parallelogram we can use the point-slope form of a line: y - y1 = m(x - x1), where,
m = slope(x1, y1) = point on the lineFor the side sloping up from left to right, we can use the point (2, 5), since it is on the bottom side of the parallelogram. Plugging in the values, we get:
y - 5 = 0.75(x - 2)Simplifying, we get:
y = 0.75x + 3.5To find the point where this line intersects the top side of the parallelogram, we can use the fact that the length of the sloping side is 5 units. We know that the endpoint of the bottom side at (2, 5) is 5 units away from the intersection point in the x-direction, so we can add 5 to the x-coordinate to find the intersection point. Plugging in x = 7 into the equation above, we get:
y = 0.75(7) + 3.5 = 8Therefore, the vertex at the top right of the parallelogram is (7, 8).
For the side sloping down from left to right, we can use the point (9, 5), since it is on the bottom side of the parallelogram. Plugging in the values, we get:
y - 5 = -0.75(x - 9)Simplifying, we get:
y = -0.75x + 11.25To find the point where this line intersects the top side of the parallelogram, we can again use the fact that the length of the sloping side is 5 units. We know that the endpoint of the bottom side at (9, 5) is 5 units away from the intersection point in the x-direction, so we can subtract 5 from the x-coordinate to find the intersection point. Plugging in x = 4 into the equation above, we get:
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Find the final amount of money in an account if
$
6
,
700
is deposited at
7
%
interest compounded weekly and the money is left for
10
years.
Answer:
7064
Step-by-step explanation:
WILL GIVE BRAINYEST!!! PLS HELP!!!
Mr. Hudson walked 12 miles in 3 hours. At this rate,
how far will he walk in 5 hours? Write your answer in
a complete sentence AND show your work.
Each side of a square field is 13 m. Find the distance covered by a man going around the field five times
Step-by-step explanation:
going around the field one time is walking all 4 sides.
so, 4×13 m
going around the field 5 times is walking all 4 sides 5 times.
that means
5×4×13 m = 20×13 = 260 m
For the arithmetic sequence -3 , -15 , -27 , -39 , -51, ... , The 50th term is .........................
Please help
Answer:
top leve : nobles
second level:priests
third level: craftment
bottom level:peasent & slavr
Which graph represents the function f(x) = -2sin(x) +37
The graph that represents the function f(x) = -2sin(x) +37 is graph D
How to explain the graphThe graph of the function f(x) = -2sin(x) +37 is a sinusoidal wave with an amplitude of 2 and a vertical shift of 37. The negative sign in front of the sine function indicates that the wave is inverted or reflected about the x-axis.
In this graph, the maximum value of the function is 39 (when x = 0) and the minimum value is 35 (when x = π).
In conclusion, the graph that represents the function f(x) = -2sin(x) +37 is graph D
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If you are 48 Inches how tall are you in cm? round to the nearest tenths 1in=2.54 cm
Answer: 121.9
Step-by-step explanation:
2.54 × 48 is 121.92
Answer: 121.9
Step-by-step explanation: 48×2.54=121.
What is the equation of the blue line?
The equation of the line (blue line) becomes: 4x + y = 3
What is the equation of line?The set of points that make up a line in a coordinate system are represented algebraically in the equation of the line. The equation of a line is just an algebraic equation which represents the several points that all together form a line there in coordinate axis as a set of variables x, and y.
A straight line has the equation y=mx+c, where c is the height at which the line crosses the y-axis, commonly known as the y-intercept, and m is the gradient.
As, it cut the point in the x-axis at the point 4 and cut the y-axis at the point 1 and the intercept becomes 3.
Thus, the equation of the blue line becomes: 4x + y = 3
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Hello! Thanks for stopping by my question! I would really appreciate the help! I've attached the question below. Thanks!
I'd appreciate if you made sure to double check your answers and provide everything the question is asking!
Answer:
1/f(x) = 1/(5x² +13x -6); x = -3; x = 2/5graphed in the attachment. domain, increasing: (-∞, -4) ∪ (-4, 2) ∪ (2, ∞); range: (-∞, 1) ∪ (1, 1.5) ∪ (1.5, ∞); negative: (2, 5); positive: (-∞, -4) ∪ (-4, 2) ∪ (5, ∞). Not decreasing anywhere.Step-by-step explanation:
You want the reciprocal function of f(x) = 5x² +13x -6 and the equations of its vertical asymptotes. You also want the graph of f(x) = ((x +4)(x -5))/(x² +2x-8) along with its domain, range, and intervals of positive, negative, increase, and decrease.
1. f(x) = 5x² +13x -6The reciprocal function will be ...
1/f(x) = 1/(5x² +13x -6)
Its vertical asymptotes will be found where f(x) = 0. Those values of x are nicely found by factoring the function.
f(x) = 5x² +13x -6 = (5x +15)(5x -2)/5 = (x +3)(5x -2)
The product of factors will be zero when one of the factors is zero.
x +3 = 0 ⇒ x = -3
5x -2 = 0 ⇒ x = 2/5
The equations of the vertical asymptotes are x = -3 and x = 2/5.
2. f(x) = ((x +4)( ...The function can be simplified by factoring the denominator anc cancelling common factors:
\(f(x)=\dfrac{(x+4)(x-5)}{x^2+2x-8}=\dfrac{(x+4)(x-5)}{(x+4)(x-2)}=\dfrac{x-5}{x-2}\quad x\ne -4\)
The function changes sign where the factors are zero, at x = 2 and x = 5. It is approaches the horizontal asymptote y = 1 for large positive or negative values of x, and is increasing everywhere it is defined. There is a vertical asymptote at x = 2, and a "hole" at x = -4 where the numerator and denominator factors canceled, but the function remains undefined. The function can take on any value except those at the horizontal asymptote and the "hole".
Domain, Increasing
The function is increasing everywhere it is defined, so the "increasing" intervals and the domain are the same:
(-∞, -4) ∪ (-4, 2) ∪ (2, ∞) . . . . . domain, intervals of increase
The function has no intervals of decrease.
Negative, Positive, Range
The function is positive everywhere it is defined, except for the interval between sign changes.
negative: (2, 5)
positive: (-∞, -4) ∪ (-4, 2) ∪ (5, ∞)
range: (-∞, 1) ∪ (1, 1.5) ∪ (1.5, ∞)
write and equation for the nth term of the geometric sequence for 2,8,32,128
then find a6 round to the nearest tenth if necessary.
The sixth term of the geometric sequence is 2048.
The given geometric sequence is 2, 8, 32, 128. We can observe that each term is obtained by multiplying the previous term by 4. Therefore, the common ratio (r) of the sequence is 4.
The formula for the nth term (an) of a geometric sequence is given by:
an = a1 * r^(n-1)
where a1 is the first term and r is the common ratio.
For this sequence, a1 = 2 and r = 4. Plugging in these values into the formula, we get:
an = 2 * 4^(n-1)
To find a6, we substitute n = 6 into the formula:
a6 = 2 * 4^(6-1)
= 2 * 4^5
= 2 * 1024
= 2048
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The Probable question may be:
Write an equation for the nth term of the geometric sequence 2, 8, 32, 128,
Then find a6. Round to the nearest tenth if necessary.
a = 5×4 X
a1 = n-1 X
volume of a sphere = ³, where ris 3 ㅠ the radius. Titanium has a density of 4.506 g/cm³. How many kilograms would a sphere of titanium with a radius of 11 cm weigh? Give your answer to 1 d.p.
After answering the presented question, we can conclude that As a radius result, a titanium sphere with a radius of 11 cm would weigh roughly 25.1 kg (rounded to 1 decimal place).
what is radius?In more modern parlance, the length of a circle or sphere is the same as its radius in classical geometry, which is one of the line segments from its centre to its circumference. The term was derived from the Latin word radius, which also refers to the spokes of a waggon wheel. The radius of a circle is the distance between its centre and any point on its periphery. It is usually denoted by "R" or "r." A radius is a line segment with one endpoint in the centre and one on the circle's circumference. The radius of a circle matches its diameter. The diameter of a circle is the segment that passes through its centre and has ends on the circle.
The formula for the volume of a sphere of radius "r" is:
V = (4/3)πr³
Substituting the specified radius value (r = 11 cm), we get:
V = (4/3)π(11)³ \sV = 5575.279 cm³
Now we must compute the weight of the titanium sphere, which can be found by multiplying its volume by its density:
Density = Volume Weight
Weight = 25121.811974 g Weight = 5575.279 cm3 4.506 g/cm3
When we divide 1000 by 1000 to convert grammes to kilogrammes, we get:
The weight is 25.121811974 kg.
As a result, a titanium sphere with a radius of 11 cm would weigh roughly 25.1 kg (rounded to 1 decimal place).
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foreign direct investment helps improve the economic situation of a recipient country by increasing —- opportunities in the country that the company invests in.
Foreign direct investment helps improve the economic situation of a recipient country by increasing employment opportunities in the country that the company invests in.
When foreign companies invest in a recipient country, they often establish or expand their operations, which requires hiring local workers. This leads to job creation and reduces unemployment rates in the recipient country.
Increased employment opportunities result in more individuals having access to income and improved standards of living.
Foreign direct investment also contributes to the transfer of technology, knowledge, and skills to the recipient country. Multinational companies often bring advanced technologies, production techniques, and management practices that may not have been available or widely adopted in the recipient country.
Furthermore, foreign direct investment stimulates domestic investment and encourages the growth of local businesses. When foreign companies invest in a recipient country, they often form partnerships or engage in supply chain relationships with local firms.
Overall, foreign direct investment increases employment opportunities, fosters technology transfer, and stimulates domestic investment, all of which contribute to improving the economic situation of a recipient country.
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What is the domain of the function shown in this graph?
Answer:
\( - \infty < x < \infty \)
Step-by-step explanation:
On the right hand side of the y axis, the x values will continue to increase. They will go to positive Infinity. On the left hand side of the y axis, the x values will continue to decrease, this means that they will become more negative. They will go to negative Infinity.Rotation 90° clockwise about the origin
N
O
G
An image of triangle NOG after a rotation 90° clockwise about the origin is shown below.
What is a rotation?In Mathematics and Geometry, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.
Next, we would apply a rotation of 90° clockwise about the origin to the coordinate of this triangle NOG in order to determine the coordinate of its image;
(x, y) → (y, -x)
Point N = (-4, -1) → Point N' (-1, 4)
Point O = (-4, -3) → Point O' (-3, 4)
Point G = (0, -1) → Point G' (-1, 0)
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You deposit $ 3000 in a saving account the earns 10% per year?
Amount after 5 years due to simple interest is 4500 and due to compound interest is 4831.53.
EquationsThe total amount after each year would be after Simple interest of five years is:
Year 1: Principal + Simple Interest = $3000 + $300 = $3300
Year 2: Principal + 2 x Simple Interest = $3000 + 2 x $300 = $3600
Year 3: Principal + 3 x Simple Interest = $3000 + 3 x $300 = $3900
Year 4: Principal + 4 x Simple Interest = $3000 + 4 x $300 = $4200
Year 5: Principal + 5 x Simple Interest = $3000 + 5 x $300 = $4500
The total amount after each year after Compound interest of five years is:
Year 1: Principal x \((1+Rate)^{1}\) = $3300
Year 2: Principal x \((1+Rate)^{2}\) = $3630
Year 3: Principal x \((1+Rate)^{3}\) = $3993
Year 4: Principal x \((1+Rate)^{4}\) = $4392.30
Year 5: Principal x \((1+Rate)^{5}\) = $4831.53
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A corporation has four factories, each of which manufactures sport utility vehicles and pickup trucks. The number of units of vehicle produced at factory in one day is represented by in the matrixA = | 100 90 70 30 || 40 20 60 60 |Find the production levels if production is increased by 10%
If the production is increased by 10%, the new production levels for sport utility vehicles and pickup trucks are:
Factory 1: 110 sport utility vehicles
Factory 2: 99 sport utility vehicles
Factory 3: 77 sport utility vehicles, 66 pickup trucks
Factory 4: 33 sport utility vehicles, 66 pickup trucks
To find the production levels if production is increased by 10%, we need to multiply each entry of the matrix by 1.1:
A' = 1.1A = | 110 99 77 33 || 44 22 66 66 |
The matrix A' represents the new production levels. The entry in the first row and first column of A' (110) represents the number of sport utility vehicles produced at the first factory after the 10% increase in production. Similarly, the entry in the second row and third column of A' (66) represents the number of pickup trucks produced at the third factory after the 10% increase in production.
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Let g(x) be the indicated transformation of f(x) = −|3x| − 4. Stretch the graph of f(x) = −|3x| − 4 vertically by a factor of 3 and reflect it across the x-axis. Identify the rule and graph of g(x).
The final rule for g(x) is g(x) = 3|3x| + 12.
To stretch the graph of f(x) = −|3x| − 4 vertically by a factor of 3, we multiply the function by 3. This will result in a vertical stretching of the graph.
So, the rule for g(x) is g(x) = 3f(x).
Now, let's find the expression for g(x) using the given function f(x) = −|3x| − 4:
g(x) = 3f(x)
g(x) = 3(-|3x| - 4)
g(x) = -3|3x| - 12
This is the expression for g(x), which represents the transformed graph.
To reflect the graph of g(x) across the x-axis, we change the sign of the function. This means that the negative sign in front of the absolute value will become positive, and the positive sign in front of the constant term will become negative.
Therefore, the final rule for g(x) is g(x) = 3|3x| + 12.
Now, let's consider the graph of g(x). The graph will have the same shape as f(x), but it will be stretched vertically by a factor of 3 and reflected across the x-axis.
The original graph of f(x) = −|3x| − 4 is a V-shaped graph that opens downward and passes through the point (0, -4). The transformed graph of g(x) will have a steeper V-shape, opening downward, and passing through the point (0, 12) instead of (0, -4).
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To determine her water pressure, Denise divides up her day into three parts: morning, afternoon, and evening. She then measures her water pressure at 2 randomly selected times during each part of the day.What type of sampling is used?a. Simple random b. Cluster c. Stratified d. Convenience e. Systematic
Answer:
The correct answer is:
Stratified (c.)
Step-by-step explanation:
Stratified sampling technique is one in which the groups of data are divided into smaller groups or strata, based on shared common characteristics in these groups, and the samples randomly selected from each group in a proportional way. In this example, the sub-groups used is "times of the day" ie. morning, afternoon or evening. Other strata that can be used are; age, gender, continents etc. Stratification is done when the researcher wants to understand the relationships between the two or more groups. Stratified random sampling is also known as proportional random sampling or quota random sampling.