Answer:just draw 6 apples up and down, then draw them 11 more times right next to each other, so draw 72 apples
Step-by-step explanation:
73 term for the arithmetic sequence 18,30,42
The 73rd term of the arithmetic sequence 18,30,42 = 882.
What is arithmetic sequence ?An arithmetic sequence seems to be a series of numbers that are ordered and share a common difference amongst each succeeding term. There are arithmetic sequences 3, 9, 15, 21, and 27, for example, the common difference is 6. An arithmetic progression is another name for an arithmetic sequence.
What does not constitute an arithmetic sequence?The sequence is not arithmetic if the difference between subsequent terms is not constant. Subtracting two consecutive elements from the sequence yields a common difference.
According to the given data:Let us now look for the explicit rule for with this arithmetic sequence. We have the following:
aₙ = a₁ + (n - 1) * d
= 18 + 12 * (n - 1)
= 12n + 6.
The 73rd term is 12 (73) + 6 = 882.
The 73rd term of the arithmetic sequence 18,30,42 = 882.
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Divide 38 in two parts such that one part is 18 more than the other
Answer:
10 and 28
Step-by-step explanation:
let x be one number then the other is x + 18 ( 18 more than the other ), then
x + x + 18 = 38
2x + 18 = 38 ( subtract 18 from both sides )
2x = 20 ( divide both sides by 2 )
x = 10
and x + 18 = 10 + 18 = 28
the 2 numbers which divide 38 into the 2 parts are 10 and 18
please answer question in the picture
PLEASE HELP ME
An article claimed the state's typical price of a gallon of gasoline is $2.69. The prices from 5 gas stations surveyed were $2.79, $2.99, $2.69, $2.89, and $2.69.
According to this data, what is wrong with the article's statement?
This statement in the article is wrong because $2.69 is not the mean price ($2.81)
How to determine what is wrong with the data?The prices from 5 gas stations surveyed are given as:
$2.79, $2.99, $2.69, $2.89, and $2.69.
There are no outliers in the dataset
So, the dataset can be summarized by the mean
The mean is
Mean = Sum/Count
So, we have
Mean = ($2.79+ $2.99+ $2.69+ $2.89+$2.69)/5
Evaluate
Mean = 2.81
The article quoted $2.69 as the typical price
This statement in the article is wrong because $2.69 is not the mean price ($2.81)
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The order in which a ratio is written is _____ to the meaning.
Answer:
1propotion 2fraction is how it goes
Find the first five terms of the recursive sequence. Show all your work. an = 3a n-1 - 6 where a1 = 7
======================================================
Work Shown:
First replace every copy of n with 2
[tex]a_n = 3*(a_{n-1}) - 6\\\\a_2 = 3*(a_{2-1}) - 6\\\\a_2 = 3*(a_{1}) - 6\\\\a_2 = 3*(7) - 6\\\\a_2 = 21 - 6\\\\a_2 = 15\\\\[/tex]
Notice how the second term [tex]a_2[/tex] relies on the first term [tex]a_1[/tex]
Then repeat for n = 3
[tex]a_n = 3*(a_{n-1}) - 6\\\\a_3 = 3*(a_{3-1}) - 6\\\\a_3 = 3*(a_{2}) - 6\\\\a_3 = 3*(15) - 6\\\\a_3 = 45 - 6\\\\a_3 = 39\\\\[/tex]
Same goes with n = 4
[tex]a_n = 3*(a_{n-1}) - 6\\\\a_4 = 3*(a_{4-1}) - 6\\\\a_4 = 3*(a_{3}) - 6\\\\a_4 = 3*(39) - 6\\\\a_4 = 117 - 6\\\\a_4 = 111\\\\[/tex]
Finally plug in n = 5
[tex]a_n = 3*(a_{n-1}) - 6\\\\a_5 = 3*(a_{5-1}) - 6\\\\a_5 = 3*(a_{4}) - 6\\\\a_5 = 3*(111) - 6\\\\a_5 = 333 - 6\\\\a_5 = 327\\\\[/tex]
-----------------------------------
We have this summary:
[tex]a_1 = 7\\\\a_2 = 15\\\\a_3 = 39\\\\a_4 = 111\\\\a_5 = 327\\\\[/tex]
The first five terms are: 7, 15, 39, 111, 327
You, Newton, and Descartes have
17 stampers in all. Newton and Descartes each
have 6. How many stampers do you have?
I will have 5 stampers
How to calculate the number of stampers left ?I, Newton and Descartes have 17 Stampers in total
Newton and Descartes have 6 stampers each
6 + 6
= 12
The number of stampers left for me can be calculated as follows
= 17 - 12
= 5
Hence I have 5 stampers
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Which property of addition is shown in the equation below?
a + bi + 0 + 0i = a + bi
The property of addition that represents this is the zero property of addition
How to determine the property of addition?The equation is given as:
a + bi + 0 + 0i = a + bi
In the above equation, the number is added by 0 and the result is the initial number
The property of addition that represents this is the zero property of addition
Because it states that
a + 0 = 0
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Required information
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[The following information applies to the questions displayed below.]
Kubin Company’s relevant range of production is 12,000 to 16,000 units. When it produces and sells 14,000 units, its average costs per unit are as follows:
Average Cost per Unit
Direct materials $ 7.30
Direct labor $ 4.30
Variable manufacturing overhead $ 1.80
Fixed manufacturing overhead $ 5.30
Fixed selling expense $ 3.80
Fixed administrative expense $ 2.80
Sales commissions $ 1.30
Variable administrative expense $ 0.80
Required:
1. Assume the cost object is units of production:
a. What is the total direct manufacturing cost incurred to make 14,000 units?
b. What is the total indirect manufacturing cost incurred to make 14,000 units?
2. Assume the cost object is the Manufacturing Department and that its total output is 14,000 units.
a. How much total manufacturing cost is directly traceable to the Manufacturing Department?
b. How much total manufacturing cost is an indirect cost that cannot be easily traced to the Manufacturing Department?
3. Assume the cost object is the company’s various sales representatives. Furthermore, assume that the company spent $39,200 of its total fixed selling expense on advertising and the remainder of the total fixed selling expense comprised the fixed portion of the company's sales representatives’ compensation.
a. When the company sells 14,000 units, what is the total direct selling expense that can be readily traced to individual sales representatives?
b. When the company sells 14,000 units, what is the total indirect selling expense that cannot be readily traced to individual sales representatives?
. Assume the cost object is units of production:
a. What is the total direct manufacturing cost incurred to make 14,000 units?
b. What is the total indirect manufacturing cost incurred to make 14,000 units?
Note: For all the requirements, round per unit values to 2 decimal places.
Show less
1a. Direct material cost per unit
1a. Direct labor cost per unit
1a. Direct manufacturing cost per unit $0.00
1a. Number of units produced and sold
1a. Total direct manufacturing cost $0
1b. Variable manufacturing overhead per unit
1b. Fixed manufacturing overhead per unit
1b. Indirect manufacturing cost per unit $0.00
1b. Number of units produced and sold
1b. Total indirect manufacturing cost $0
1a)The total direct manufacturing cost incurred to make 14,000 units is $162,400.
1b)The total indirect manufacturing cost incurred to make 14,000 units is $99,400.
2a)The total manufacturing cost directly traceable to the Manufacturing Department is $261,800.
2b)The total fixed portion of the sales representatives’ compensation is $14,000.
3a)The total direct selling expense that can be readily traced to individual sales representatives is $32,200.
3b)The total fixed portion of the sales representatives’ compensation is $14,000.
Cost Accounting is a procedure in which raw data are refined and provides information to the management which plays an important role in the decisions to be taken. The product costs and cost of services can be ascertained with the help of cost accounting.
In variable costing only the manufacturing costs which vary with the output are treated as product costs. As such only the variable part of the manufacturing cost like direct materials, direct labor and variable portion of manufacturing overhead is treated as product cost.
The costs which are incurred for the production of a product are product costs. The costs which are the considered and included in the product costs are direct materials, direct labor and manufacturing overhead.
The costs which are expensed when incurred are referred to as period costs. These costs are not capitalized. These costs are not considered as a part of cost of goods sold. It includes selling expenses, advertising expenses, depreciation expense etc.
Those costs which remain constant and do not change with the changes in the level of activity are known as fixed costs. It is also referred to as time-related costs. Examples of fixed expense are: Fixed factory overhead, Fixed selling and administrative expense, Depreciation, Property taxes.
When the manufacturing department is the cost object, then in such a case the cost incurred for manufacturing the product also includes the manufacturing overhead costs. Such costs are to be directly traced to the products. So, the total direct manufacturing cost incurred is computed by multiplying the cost per unit obtained by adding the direct materials, direct labor, variable manufacturing cost per unit and fixed manufacturing cost per unit by the number of units. Therefore, the total direct manufacturing cost incurred to make 14,000 units is $261,800.
When the manufacturing department is the cost object, then the costs incurred in the manufacturing department is to be allocated to the products directly. Such costs are directly traceable to the products. When the cost object is Manufacturing Department then the indirect manufacturing costs does not exist because the costs are traceable to the Manufacturing Department easily. Therefore, the manufacturing costs are not to be considered as indirect costs when the Manufacturing Department is the cost object.
The total fixed selling expense is computed by multiplying the fixed selling expense per unit by the number of units. Then, the amount of advertising expense is deducted from the total fixed selling expense to compute the fixed portion of the sales representatives’ compensation. Therefore, the amount of fixed portion of the sales representatives’ compensation is $14,000.
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?
5
Find the arc length of the semicircle.
Either enter an exact answer in terms of π or use 3.14 for π and enter your answer as a decimal.
units
Show Calculator
The length of the arc is calculated for the given semicircle as 15.7 units.
What exactly is a semicircle?When a circle is split in half it along diameter, a semicircle is formed. The 2 halves are the same size.A semicircle, also defined as a ½, is a folded circular sheet plate in half.The semicircle has one symmetry line, which is recognized as the reflection symmetry.The semicircle's arc everytime measures 180° because it is half of the a 360° circle.For, the given question.
The radius of the semicircle is 5 units.
The length of the arc of semicircle is equal to the perimeter of the semicircle.
The formula for perimeter;
P = πr
where, r is the radius and π = 3.14.
Put the values in the formula.
Perimeter = 3.14×5
Perimeter = 15.7 units.
Therefore, the length of the arc of the semicircle is 15.7 units.
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Help!!!!!!Angle DFG and angleJKL are complementary angles. If the measure if the angle DFG=x+2 and the measure of the angle JKL =x+9 then find x.
∠DFG and ∠JKL are complementary angles
Measure of each angle
Given :
∠DFG and ∠JKL are complementary angles. m∠DFG = x + 5,
and m∠JKL = x − 1
When two angles are complementary then the sum of angles is 90 degrees
∠DFG and ∠JKL are complementary angles.
So,
Now replace the expressions and solve for x
Now replace x with 43 and find out each angle
A prize of $20,000 is to be shared by two winners of a contest in the ratio of 6 to 4. What is the larger share worth? What is the smaller share worth?
Answer:
Mark me brainliest hope your day goes wellUse a calculator to find a decimal approximation for the following trigonometric function sin 28°48
The decimal approximation for the trigonometric function sin 28°48' is
Given the trigonometric function is sin 28°48'
The ratio between the adjacent side and the hypotenuse is called cos(θ), whereas the ratio between the opposite side and the hypotenuse is called sin(θ). The sin(θ) and cos(θ) values for a given triangle are constant regardless of the triangle's size.
To solve this, we are going to convert 28°48' into degrees first, using the conversion factor 1' = 1/60°
sin (28°48') = sin(28° ₊ (48 × 1/60)°)
= sin(28° ₊ (48 /60)°)
= sin(28° ₊ 4°/5)
= sin(28° ₊ 0.8°)
= sin(28.8°)
= 0.481753
Therefore sin (28°48') is 0.481753.
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You are buying a new car. There are 7 body styles, 3 colors, and 7 models. How many different choices of car are there?
Answer:
147 different choices.
Step-by-step explanation:
(7)(3)(7) = 147
Hope this helps
Given that set A has 73 elements and set B has 29 elements, determine the maximum possible number of elements in A ∩ B
Suppose that u and v are two vectors with |u| = 1, |v| = 3 and u · v = −2.
a. Compute |u + v|.
b. Compute |(u + 2v) × v|.
a. |u + v| = 4
b. |(u + 2v) × v| = 16
What are vectors?Vectors are known as quantities having both magnitude and direction.
Given that;
|u| = 1 |v| = 3 u · v = −2a. |u + v|
Substitute the values of the vectors
|u + v| = 1 + 3
|u + v| = 4
b. |(u + 2v) × v|
Expand the bracket
|u. v + 2v² |
But u. v = -2
We then have;
-2 + 2(3)²
-2 + 2(9)
-2 + 18
16
Thus, the values are 4 and 16 respectively.
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1. Identify the error.
Determine the coordinates for A' after a
reflection over the x-axis.
B
D
The coordinates for A' will be (3, 1).
(3, -1)
Any point can be located using a Cartesian coordinate system or coordinate system, and that point can be displayed as an ordered pair (x, y) known as Coordinates. The origin, denoted by the letter "O," is the point where the two number lines intersect. The horizontal number line is known as the X-axis, and the vertical number line is known as the Y-axis.
Reflection of a coordinate in x-axis, negates the y - coordinate.
So, negation of 1 = -1
So, the new coordinate is ( 3, -1)
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The perimeter of the school crossing sign is 102 inches. What is the value of s ?
Equation:
= 102
S =
What is the length of each side? Label the length of each side in inches.
2s-
Answer:
The value of s is 15
Step-by-step explanation:
so first you count all the sides and add them up
s+6+s+6+s+2s+s=102
6s+12=102
6s=90
s=15!!
After that you plug that into to the equations for the answer.
Hope this helps!
Sixteen participants pre-registered for a workshop that had a total of 30 participants.
Approximately what percentage of all participants pre-registered for the workshop? A 1.9% B 5.3% C 18.8% D 53.3%
Answer: D
Step-by-step explanation:
16/30 x100= 53.3%
The perimeter of the triangle below is 54 units. Find the value of y.
Answer:
y = 7
Step-by-step explanation:
3y + (y+1) + (4y-3) = 54
3y + y + 4y + 1 - 3 = 54
8y - 2 = 54
8y = 54 + 2
8y = 56
y = 56/8
y = 7
Check:
3*7 + (7+1) + ((4*7)-3) = 54
21 + 8 + 28-3 = 54
29 + 25 = 54
I need help on question 1-6 please
Ill mark brainlist
Answer:
1: 7.2 2: 2012 3: 2014 and 2015 4: 2011 5: 6.6 6:1
Step-by-step explanation:
I don't have time to explain.
It just is.
(2thousands 7 tens) multiple by 10
Answer:
207 2 hundreds seven ones
Step-by-step explanation:
I need help with this
Answer: last one
Step-by-step explanation:
I think it's the last one because the value of 8 is negative and the value of 1 is positive. however, rita changes the negative and positive numbers and thats why she is wrong.
-4p + (-2) +2p + 3 combine like terms
Answer:
Step-by-step explanation:
-4p+-2= -6p
-6p+2= -4p
-4p+3= -1p
= -1p
❌❌PLEASE HELPILL MARK BRAINLIEST❌❌❌Does coordinate m or coordinate n represent a greater number in the following parallelogram?
(0,1)
Choose 1 answer:
B
(3,5)
m
n
(m, n)
(10,5)
Answer:
m will be the right answer
Help plss
If m/ABF = 8w - 6 and m/ABE = 2(w + 11), find m/EBF.
B
ㅏ
Answer:
∠ EBF = 47°
Step-by-step explanation:
since BE bisects ∠ ABF , then
∠ ABE = ∠ EBF = 2(w + 11) = 2w + 22
∠ ABF = ∠ ABE + ∠ EBF ( substitute values )
8w - 6 = 2w + 22 + 2w + 22
8w - 6 = 4w + 44 ( subtract 4w from both sides )
4w - 6 = 44 ( add 6 to both sides )
4w = 50 ( divide both sides by 4 )
w = 12.5
Then
∠ EBF = 2w + 22 = 2(12.5) + 22 = 25 + 22 = 47°
Ryan has nine 14-ounce bags of popcorn
to repackage and
sell at the school fair.
A small bag holds 3 ounces. How many
small bags can he make?
In the diagram, P is a point on ST such that P is between S and T. If SP = x + 3, PT =2x-1 and ST = 17, find the length of PT
Based on the given parameters, the numerical length of PT is 9 units
How to determine the length of PT?The given parameters are:
P is a point on ST such that P is between S and T.
SP = x + 3,
PT = 2x - 1
ST = 17
The statement "P is a point on ST such that P is between S and T" implies that
ST = SP + PT
Substitute the known values in the above equation
17 = x + 3 + 2x - 1
Evaluate the like terms
17 = 3x + 2
Add 2 to both sides of the equation
3x = 15
Divide both sides of the equation by 3
So, we have
x = 5
Substitute x = 5 in PT = 2x - 1
So, we have
PT = 2 x 5 - 1
Evaluate
PT = 9
Hence, the numerical length of PT is 9 units
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PLEASE I NEED HELP AND DONT UNDERSTAND ITS DUE TODAY! PLEASE SHOW STEP BY STEP! thanks!
The number of line segments in the 100th pattern is equal to 201 line segments.
What is the pattern behind the construction of equillateral triangles?
Triangles are polygons with three sides of equal length, herein we find constructions elaborated with equilateral triangles, in which two new line segments are added when an equilateral triangle is so. Then, the number of line segments can be modelled after the following linear progression formula:
n = 3 + 2 · (n - 1)
Where n is the number of equilateral triangles in the pattern.
If we know that n = 100, then the number of line segments is:
n = 3 + 2 · (100 - 1)
n = 3 + 2 · 99
n = 3 + 198
n = 201
The number of line segments in the 100th pattern is equal to 201 line segments.
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PLEASE ANSWERING THIS QUESTIONS!!
The length of a rectangle is two more than double the width. If the perimeter is 82 inches, find the dimensions.
The width is (Blank) inches.
The length is (Blank) inches.
Rules answering these questions:
Explain your answer!
Do not spam answers!
Show your work!
Nonsense answers will be reported and delete your answers.
Thanks!
[tex]\huge\mathcal {♨Answer♥}[/tex]
Let's get the width as [tex]\large\texttt {x}[/tex]
So,
The length of the rectangle is [tex]\large\texttt {2x +2}[/tex]
The perimeter of the rectangle is [tex]\large\texttt {82 inches}[/tex]
Let's get the answer for width,
☆ 2 (2x + 2) + 2x = 82
4x + 4 + 2x = 82
6x + 4 = 82 - 4
6x ÷ 6 = 78 ÷ 6
x = 13
Let's get the answer for length,
☆ 2x + 2
2 × 13 + 2
28
Then,
[tex]\large\texttt {↪The width is 13 inches}[/tex]
[tex]\large\texttt {↪The length is 28 inches}[/tex]
☆...hope this helps...☆
_♡_mashi_♡_