The appropriate journal entry when the cash is received is: Debit Cash $18,870, Debit Advertising expense $480, Debit Commission expense $2,150, Credit Revenue from consignment sales $21,500.
Journal entrySheffield corporation entries
Debit Cash $18,870
[$21500-($480+ ($21500×10%))]
Debit Advertising expense $480
Debit Commission expense $2,150
(21,500×10%)
Credit Revenue from consignment sales $21,500
Debit Cost of goods sold $13,888
[($20400+$2000)×62%]
Credit Inventory on consignment $13,888
Therefore journal entry when the cash is received is: Debit Cash $18,870, Debit Advertising expense $480, Debit Commission expense $2,150, Credit Revenue from consignment sales $21,500.
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Find function then simplify tje answer
Answer:
a)(x+h+2)²=x²+2xh+h²+4x+4h+2
b)(x+h+2)²–(x+2)²=2xh+h²+4h
c)2x+4+h
Step-by-step explanation:
f(x)=x²+4x+2
Aight so for part a you have to replace x with x+h
a)f(x+h)=(x+h)²+4(x+h)+2=x²+2xh+h²+4x+4h+2
and then for part b you need to subtract f(x) from part a:
b)f(x+h)–f(x)=x²+2xh+h²+4x+4h+2–x²–4x–2===>
2xh+h²+4h
and for part c divide the answer by h:
c)
[tex] \frac{f(x + h) - f(x)}{h} = = = > \\ \frac{2xh + 4h + {h}^{2} }{h} = = = > \\ 2x + 4 + h[/tex]
and if you limit h by 0 you'll get the derivative of f(x)
What is the value of tan M?
15
15
17
L
∞ ∞01 200
8
17
8
15
15
K 8
8
M
Answer:
The value of tan M = 15/8
Step-by-step explanation:
[tex]tan \: m \: = \frac{p}{b} \\ tan \: m \: = \frac{15}{8} [/tex]
Which is the graph of f(x) = (4)×?
See the graph in the attached image.
simplify (2+3)2 + 8/2
Answer
[tex]2 \times 2 + 6 \times 2 + \frac{8}{2 } [/tex]
[tex]4 + 12 + 4[/tex]
[tex]16 + 4[/tex]
[tex]20[/tex]
which equation is represented by the graph below a. y=1/8ex b.y=1/2ex c.y=2ex. d.y=8ex
If B is the midpoint of AC, which of the following equations is correct?
AB + AC = B
OBA + BC = AC
O None of these choices are correct.
O
AB = AC
Answer:
BA + BC = AC
Step-by-step explanation:
B is the midpoint of AC
Then
BA = AC/2 and BC = AC/2
Then
BA + BC = AC/2 + AC/2 = AC
Answer:a
Step-by-step explanation:
At what points does the curve r(t) = t i + (4t − t2) k intersect the paraboloid z = x^2 + y^2?
(smaller t-value) (x, y, z) = ?
(larger t-value) (x, y, z) = ?
The points are known to intersect the curve at
(smaller t-value) (x, y, z) = 0, 0, 0(larger t-value) (x, y, z) = 2, 0, 4How to find the pointsWe have our equation as: r(t)=ti+(4t-t2)k (4t - t2)k
From r(t)
We have x to be t, y to be 0 and z=4t-t2
The given paraboloid can be defined to be
z=x^2+y^2
We are to put the values in the equation
4t-t²=t²+0
2t²=4t
Then t wuld be 2 or 0
Hence we have to conclude that ours points of intersection are at (0,0,0) and (2,0,4).
The 0,0,0) and (2,0,4) points is where the intersection of the paraboloid take place.
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Type the correct answer in each box. If necessary, round your answer(s) to the nearest hu The vertices of AABC are A(-2, 2), B(6, 2), and C(0, 8). The perimeter of AABC is
Answer:
22.81
Step-by-step explanation:
The distance formula can be used to find the distances between pairs of vertices. The perimeter is the sum of those distances.
Side lengthsThe distance formula is ...
d = √((x2 -x1)^2 +(y2 -y1)^2)
Using this formula the triangle side lengths are ...
AB = √((6 -(-2))^2 +(2 -2)^2) = √(8^2) = 8
BC = √((0 -6)^2 +(8 -2)^2) = √(6^2 +6^2) = 6√2
CA = √((-2 -0)^2 +(2 -8)^2) = √(4 +36) = √40
The perimeter of the triangle is the sum of these lengths:
P = 8 +6√2 +2√10 ≈ 22.8098
The perimeter is about 22.81 units.
A shoe repair operation uses a two-step sequence that all jobs in a certain category follow. All jobs can be split in half at both stations. For the group of jobs listed: JOB TIMES (minutes) A B C D E Workstation A 27 18 70 26 15 Workstation B 45 33 30 24 10 Click here for the Excel Data File a. Find the sequence that will minimize total completion time. b. Determine the amount of idle time for workstation B.
1. The sequence that will minimize the total completion time is sequence 4. B-A-C-D-E.
2. The determination of the amount of idle time for Workstation B is 37 minutes.
Johnson's Sequencing Rule:According to Johnson's sequencing rule, start listing jobs with minimum completion time first.
If the job occurs at Workstation A, list it on the left side. If the job occurs at Workstation B, list it on the right side, as below:
Data and Calculations:JOB TIMES (minutes) A B C D E
Workstation A 27 18 70 26 15
Workstation B 45 33 30 24 10
The first job with a minimum completion time is Job E at Workstation B.
The second job with a minimum completion time after Job E is Job B at Workstation A.
The third job with a minimum completion time after Job B is Job D at Workstation B.
The fourth job with a minimum completion time after Job D is Job A at Workstation A.
The last job is Job C at Workstation B.
The sequence that minimizes total completion time is as follows:
B A C D E
A B
Calculation of Idle Time at Workstation B:Job Workstation A Workstation B Idle Time
In Out In Out Workstation B
B 0 0+18 = 18 18 18+33 = 51 18
A 18 18+27 = 45 51 51+45 = 96 19
C 45 45+70 = 115 115 115+30 = 145 0
D 115 115+26 = 141 145 145+24 = 169 0
E 141 141+15 = 156 169 169+10 = 179 0
Total Idle Time at Workstation B = 37 (18 + 19)
Thus, the sequence that minimizes the total completion time is sequence 4, while the idle time at Workstation B is 37 minutes.
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Question Completion with Answer Options:1. A-B-C-D-E
2. E-D-B-C-A
3. D-C-B-A-E
4. B-A-C-D-E
5. C-A-B-D-E
Prove that (- 1 + i)^7 = -8(1 + i)
Convert [tex]-1+i[/tex] to polar form.
[tex]z = -1 + i \implies \begin{cases}|z| = \sqrt{(-1)^2 + 1^2} = \sqrt2 \\\\ \arg(z) = \pi + \tan^{-1}\left(\dfrac1{-1}\right) = \dfrac{3\pi}4 \end{cases}[/tex]
By de Moivre's theorem,
[tex]\left(-1+i\right)^7 = \left(\sqrt2 \, e^{i\,\frac{3\pi}4}\right)^7 \\\\ ~~~~~~~~ = \left(\sqrt2\right)^7 e^{i\,\frac{21\pi}4} \\\\ ~~~~~~~~ = 8\sqrt2 \, e^{-i\,\frac{3\pi}4} \\\\ ~~~~~~~~ = 8\sqrt2 \left(\cos\left(\dfrac{3\pi}4\right) - i \sin\left(\dfrac{3\pi}4\right)\right) \\\\ ~~~~~~~~ = 8\sqrt2 \left(-\dfrac1{\sqrt2} - \dfrac1{\sqrt2}\,i\right) \\\\ ~~~~~~~~ = -8 (1 + i)[/tex]
QED
find the difference
Answer:
141; 6526; 28d.
Step-by-step explanation:
try this option, all the details are in the attachment.
The nurse must give a patient 9 milligrams of a medication. If the tables are 2 milligrams each, how many tablets are needed?
Answer:
4.5 tablets.
Step-by-step explanation:
We just divide 9 by 2.
13. The tablets needed is 4 and a half.
14. There are 10 half-gram doses available from the 5 gram vials of medication.
15. Pat's heart beats approximately 58.5 times in 3/4 of a minute.
Given are words problems based on the mixed numbers:
13. To determine the number of tablets needed, we divide the total dosage required by the dosage per tablet.
In this case, the nurse needs to administer 9 milligrams of medication, and each tablet contains 2 milligrams.
So, the number of tablets needed is:
9 milligrams / 2 milligrams per tablet = 4.5 tablets
Hence, the tablets needed is 4 and a half.
14. If the pharmacy has 5 gram vials of medication, we can calculate the number of 1/2 gram doses available by dividing the total amount of medication by the dose size.
The total amount of medication in grams is 5 grams.
To find the number of 1/2 gram doses available, we divide the total amount of medication (5 grams) by the dose size (1/2 gram):
5 grams / (1/2 gram) = 5 grams x (2/1 gram)
= 5 x 2 = 10 doses.
Therefore, there are 10 half-gram doses available from the 5 gram vials of medication.
15. To calculate how many times Pat's heart beats in 3/4 of a minute, you can use a simple proportion:
1 minute = 78 beats
3/4 minute = ? beats
Let's solve for the number of beats in 3/4 of a minute:
Number of beats in 3/4 minute = (3/4) x 78
= 0.75 x 78
= 58.5
So, Pat's heart beats approximately 58.5 times in 3/4 of a minute. Since you can't have half a heartbeat, the closest whole number is 58 beats.
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Which of the following graphs represents a function?
The third graph represents a function.
In a function, every input (x value) has exactly one output (y value). If even a single input has zero or two outputs, the graph does not represent a function.
A good way of testing this is using a vertical line. As you move a vertical line from left to right across a graph, it should always be touching exactly one point on the graphed line.
In this case, every graph fails this vertical line test except for the third graph, so the third graph represents a function.
The pH of a fruit juice is 5.6. Find the hydronium ion concentration, [H3O+], of the juice. Use the formula pH=-log[H3O+].
The hydronium ion concentrate H 30 plus as approximately? moles per liter
The hydroxonium ion concentration of the fruit juice whose pH as given in the task content is; 5.6 can be evaluated as; [H3O+] = 2.51 × 10^-6.
What is the hydroxonium ion concentration of the fruit juice whose pH is 5.6?Since the given pH of the fruit juice is 5.6, the hydroxonium ion concentration of the fruit juice can be evaluated by means of the formula as follows;
pH=-log[H3O+].
5.6 = -log[H3O+].
-5.6 = log[H3O+].
[H3O+] = antilogarithm (-5.6)
[H3O+] = 2.51 × 10^-6.
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Following a group of truck drivers and noting the number of miles traveled for one year refers to which type of statistical study?
Considering that the data is only noted and not changed, this is an example of an observational study.
What are observational and experimental studies?Experimental study: In an experimental study, there is an intervention in a sample, and it's effect is studied.Observational study: In an observational study, the sample is just analyzed, without any intervention.In this problem, the data, which is the number of miles traveled, is only analyzed, no interventions are made, hence this is an example of an observational study.
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What is 20% of 50 apples
Answer:
10
Step-by-step explanation:
Answer:
10 apples
Step-by-step explanation:
20% of 50 = 10
10 apples
Is this figure a polygon? Explain.
The perimeter of a regular hexagon is 72 inches. Find the length of each of its sides.
Answer:
12 inches
Step-by-step explanation:
Perimeter refers to distance around the 2D shape.
A hexagon is a polygon with 6 sides. The formula for the perimeter of a hexagon is P=6s
72=6s
The hexagon is 12 inches long
A hexagon has 6 sides. This means that 72 divided by 6 sides = 12 in.
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Please remember to revise this and make it in your own words if you want! I hope this helps you. -Doodle
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Given: f(x) = x - 7 and h(x) = 2x + 3
Write the rule for f(h(x)).
f(h(x)) = 2x - 7
f(h(x)) = 2x - 4
f(h(x)) = 3x - 4
f(h(x)) = 3x - 7
Answer:
2nd option
Step-by-step explanation:
to find f(h(x)) substitute x = h(x) into f(x) , that is
f(h(x))
= f(2x + 3)
= 2x + 3 - 7
= 2x - 4
A side of a regular polygon is 10cm. If each interior angle is 156. Calculate its perimeter.
Answer:
150 cm
Step-by-step explanation:
The total of exterior angles is 360°. We can use this fact to find the number of sides. The perimeter is the total length of all of the congruent sides.
Exterior anglesThe measure of an exterior angle of the regular polygon is the supplement of the adjacent interior angle:
exterior angle = 180° -156° = 24°
The total of n of these angles is 360°, so n is ...
24°×n = 360°
n = 360°/24° = 15
The polygon has 15 exterior angles, hence 15 sides
PerimeterThe perimeter is the total length of the 15 congruent sides:
P = 15×(10 cm) = 150 cm
The perimeter of the regular polygon is 150 cm.
Plot the complex number.
18i
The point has a real part of 0 and an imaginary part of 18, and thus corresponds to the point (0,18) in the complex plane.
For what values of x is the expression below defined?
√x+3 ➗√1-x
A. 3≤x≤1
B. 3>x>1
C. -3
D. 3> x≤-1
Answer: [tex]-3 \leq x < 1[/tex]
Step-by-step explanation:
[tex]\sqrt{x+3} \geq 0 \longrightarrow x \geq -3\\\\\sqrt{1-x} > 0 \longrightarrow 1-x > 0 \longrightarrow x < 1\\\\\therefore -3 \leq x < 1[/tex]
Suppose y varies inversely with x, and y = 36 when x=112
What inverse variation equation relates x and y ?
The inverse variation equation that relates x and y is x = 4032 / y.
What is the equation that relates x and y?if two variables vary inversely, there is a negative relationship between both variables. the increase in one variable leads to a decrease in the other variable
The equation that represents inverse proportion : x = b/y
where b = constant of proportionality
112 = b /36
b = 36 x 112 = 4032
The equation : x = 4032 / y
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Can anyone help with this?
The logarithmic function expresses the output variable, y, as a function of the logarithm of the input variable, x, as a function of a base b. The true statements are therefore;
I, II, and III onlyWhich statements are true based on the definition of a logarithm?The given logarithmic equation is presented as follows;
[tex]y = log_{b}(x) [/tex]
Therefore, we have;
[tex]x = {b}^{y} [/tex]
Where b = 1, we have that x will always be 1, therefore;
b ≠ 1Option III is true[tex]b = \sqrt[y]{x} [/tex]
Therefore;
x > 0Option I is trueWhich gives;
b > 0Option II is trueThe statements that are true is therefore;
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In a one tail hypothesis where you only in the lower tail, what is the p-value if
P-Value becomes 0.8599 when (z < 1.08).
According to the statement
We have given that the Z-stat value is 1.08 and we have to find the P value with the help of Z-stat value.
So,
A Z-score is a numerical measurement that describes a value's relationship to the mean of a group of values.
and we know that
The P-Value is calculated by converting your statistic (such as mean / average) into a Z-Score.
So, If the z-stat is 1.08, the p-value for a left-tail test is the probability that (z < 1.08), which is 0.8599.
So, P-Value becomes 0.8599 when (z < 1.08).
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a solid sphere is cut into 12 equal wedges. the volume of each wedge is V=1/9πr^3. solve the formula for r.
The formula, solved for r is r = ∛(9V/π)
Subject of formulaFrom the question, we are to solve for r is the given formula
The given formula is
V = 1/9πr³
Multiply both sides of the equation by 9 to get
9V = πr³
Now, divide both sides by π
∴ r³ = 9V/π
r = ∛(9V/π)
Hence, the formula, solved for r is r = ∛(9V/π)
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help please I really need it
Combine like terms to simplify the following polynomial.
5a²b+7ab² +9c+ 11a²b-3ab² - 9c
Answer:
5a²b + 7ab² + 9c + 11a²b - 3ab² - 9c
= (5a²b + 11a²b) + (7ab² - 3ab²) + (9c - 9c)
= 16a²b + 4ab²
Nathan shares out 12 sweets he gives yasmin 1 sweet for 3 sweets he buys how many sweets does nathan get
Given that, Nathan shares out 12 sweets, if he gives Yasmin 1 sweet for 3 sweets he buys, Nathan will get 9 sweets.
How many sweets does Nathan gets?Given that, Nathan shares out 12 sweets, he gives Yasmin 1 sweet for 3 sweets he buys.
Let the sweet be represented by x
For each x sweet for Yasmin, Nathan gets 3x sweets
Hence
x + 3x = 12
We solve for x
4x = 12
x = 12/4
x = 3
Hence;
Yasmin gets x sweet = 3
Nathan gets 3x sweets = 3 × 3 = 9
Given that, Nathan shares out 12 sweets, if he gives Yasmin 1 sweet for 3 sweets he buys, Nathan will get 9 sweets.
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Find AC if EC = 9, ED = 12, and BD = 20. Round to the nearest tenth.
The value of AC = 23
According to the statement
Here we have given the values of tangent from the diagram
EC = 9, ED = 12, and BD = 20.
and we have to find the value of AC.
We know that the according to the given diagram the tangent
BE is always equal to the Tangent AE.
So, we generate a equation to find the AC then
BE = AE
Convert this into parts like
BD +DE = AC+CE
Substitute the values in it which are given in the statement
20+12 = AC + 9
32 = AC + 9
32 -9 = AC
AC = 23
So, The value of AC = 23
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