A description of how the pattern is growing is that the pattern is growing by the addition of two blocks every time.
How to illustrate the pattern?A numerical description of the pattern is:
1 - 2 blocks.
2 - 4 blocks.
3 - 6 blocks
4 - 8 blocks.
The formula that can be used to calculate the number if building blocks in any term will be 2n. For example, the number of blocks for the 5th term will be:
= 2n = 2 × 5 = 10
The value for the 10th frame will be:
= 2n
= 2 × 10 = 20
The value for the 100th frame will be:
= 2n
= 2 × 100 = 200
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Susan has been thinking about starting her own independent gasoline station. Susan’s problem is to decide how large her station should be. The annual returns will depend on both the size of her station and a number of marketing factors related to the oil industry and demand for gasoline. After a careful analysis, Susan developed the following table:
The Maximax decision is that Susan should build a very large gas station due to the largest value of row maximums.
What is a decision table?A decision table can be defined as a type of table that is used for the graphical representation of the actions to perform, especially based on given conditions and business level rules.
The decision table for Susan’s problem is shown below:
Size Good market Fair market Poor market Row maximum
Small 50,000 20,000 -10,000 50,000
Medium 80,000 30,000 -20,000 80,000
Large 100,000 30,000 -40,000 100,000
Very large 300,000 25,000 -160,000 300,000
Thus, the Maximax decision is for Susan to build a very large gas station due to the largest value of row maximums.
For the Maximin decision, we have:
Size Good market Fair market Poor market Row minimum
Small 50,000 20,000 -10,000 -10,000
Medium 80,000 30,000 -20,000 -20,000
Large 100,000 30,000 -40,000 -40,000
Very large 300,000 25,000 -160,000 -160,000
Therefore, the Maximin decision is that Susan should build a small gas station due to the largest value of row minimums.
For the equally likely decision, we would find the row average:
Row 1 = (50,000 + 20,000 - 10,000)/3 = 20,000.
Row 2 = (80,000 + 30,000 - 20,000)/3 = 30,000.
Row 3 = (100,000 + 30,000 - 40,000)/3 = 30,000.
Row 4 = (300,000 + 25,000 - 160,000)/3 = 55,000.
Hence, the equally likely decision is that Susan should build a very large gas station due to the largest value of row average.
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Complete Question:
Even though independent gasoline stations have been having a difficult time, Susan has been thinking about starting her own independent gasoline station. Susan’s problem is to decide how large her station should be. The annual returns will depend on both the size of her station and a number of marketing factors related to the oil industry and demand for gasoline. After a careful analysis, Susan developed the following table:
a. Develop a decision table for this problem
b. What is the maximax decision?
c. What is the maximin decision?
d. What is the equally likely decision?
What is the surface area of the image below?
Answer:
Step-by-step explanation:
Comment
I'm going to assume that this is not a closed figure. The top is open like a water trough for horses.
There are 2 semicircular ends which add up to 1 whole circle.
There is 1 base area. The base area has a width of one of the semicircles. It has a length of 15 cm.
Solution
2 semi circles
r = d / 2
r = 20/2
r = 10
Area = pi r^2 This area is for 2 semicircles which = 1 circle.
Area = 3.14 * 10^2
Area = 3.14 * 100
Area = 314
Trough
r = d / 2
d= 20
r = 20/2
r= 10
w = 2*pi*r / 2
w = 2*3.14 *10/2
w = 31.4 cm
L = 15 cm
Area = 15 * 31.4
Area = 471
Total Area = 785
If the present value of a growing perpetuity is 214, the required rate of return is 10%, and growth rate is 3%, what is the cash flow in year 1? (Round to the nearest whole number).
The cash flow in year 1 is $15.
What is the cash flow in year 1?A growing perpetuity increases continuously and indefinitely.
Cash flow = present value x (rate of return - growth rate)
214 x (10% - 3%)
214 x 0.07 = $15
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Multiply (3a³-6b³) (4a² + 5b²)
Answer:
[tex]12a^5+15a^3b^2-24b^3a^2-30b^5[/tex]
Step-by-step explanation:
(3a³-6b³) (4a² + 5b²) -> Simplify not Multiply
Expand (3a³-6b³) (4a² + 5b²) using the FOIL Method.
Apply the distributive property.
[tex]3a^3(4a^2+5b^2)-6b^3(4a^2+5b^2)[/tex]
[tex]3a^3(4a^2)+3a^3(5b^2)-6b^3(4a^2+5b^2)[/tex]
[tex]3a^3(4a^2)+3a^3(5b^2)-6b^3(4a^2)-6b^3(5b^2)[/tex]
Simplify each term.
Rewrite using the commutative property of multiplication.
[tex]3*4a^3a^2+3a^3(5b^2)-6b^3(4a^2)-6b^3(5b^2)[/tex]
↓
[tex]12a^5+15a^3b^2-24b^3a^2-30b^5[/tex]
Equation Simplified.
---------------------------------------------------------------------------------------
Hope this helped!
A piecewise function g(x) is represented by the graph.
Which functions represent a piece of the function? Select three options.
g(x) = −2x, −2 < x < 0
g(x) = −2, x < −2
g(x) = x − 2, −2 < x < 1
g(x) = −2x + 6, x ≥ 1
g(x) = + 1, –2 ≤ x < 1
For different function different results are shown below.
What is Function?A function is a process or a relation that associates each element 'a' of a non-empty set A , at least to a single element 'b' of another non-empty set B.
We have been given a graph of piecewise function. Using that we have to select the function from given choices which is represented by graph.
g(x) = −2x, −2 < x < 0
Answer:
NO. Because g(x) = −2x has negative slope so that means it goes downward also there is no y-intercept in g(x) = −2x but the only graph that has y-intercept in given graph goes upward so that can't be answer.
g(x) = −2, x < −2
Answer:
YES. Because g(x) = −2 is a horizontal line which is only on the left side of x=-2. Graph of this part is present in given graph. So yes it is answer.
g(x) = x − 2, −2 < x < 1
Answer:
NO. Because g(x) = x−2 has y-intercept at y=-2 and slope 1 so that means graph of g(x)= x-2 must be going upward and crossing at y=-2 but there is no such graph. Hence this can't be answer.
g(x) = −2x + 6, x ≥ 1
Answer:
YES. Because g(x) = −2x+6 satisfies the graph which is going downward.
g(x) = x/2+ 1, –2 ≤ x < 1
Answer:
YES. Because g(x) = x/2+ 1 satisfies the graph which is going downward.
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Answer: i think this is the answer sorry if i am wrong.
g(x) = −2, x < −2,
g(x) = −2x + 6, x ≥ 1,
g(x) = x/2 + 1, –2 ≤ x < 1
Step-by-step explanation:
Here is the graph
Find the value of d.
Answer:
Step-by-step explanation:
Comment
The rule that governs this situation is the average of arc d and 94 = the angle where the chords cross.
Givens
Arc 1 = 94
Arc2 = d
interior angle = 75
Formula
(d + 94)/2 = interior angle/1
Solution
(d + 94)/2 = interior angle/1 Cross Multiply
1*(d + 94) = 75 *2 Combine
d + 94 = 150 Subtract 94 from both sides
d + 94 - 94 = 150 - 94 Combine
d = 56
Answer: d = 56
Need number 7 the answer please.
Answer:
h(x) = -2|x+2| + 2
Step-by-step explanation:
let me know if you want an explanation :))
Which of the following is the best buy?
a 6 oz box of rice for $0.90
a 12 oz box of rice for $1.93
a 16 oz bag of rice for $2.42
a 9 oz box of rice $1.25
The best buy is a 9 oz box of rice $1.25. (option d)
What is the best buy?In order to determine the best buy, the unit cost of each option has to be determined. The best buy is the option with the lowest unit cost. The unit cost can be determined by dividing the total cost by the total quantity.
Unit cost = total cost / total oz
$0.90 / 6 = $0.15
$1.93 / 12 = $0.16
$2.42 / 16 = 0.151
$1.25 / 9 = 0.14
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Which of the following points lies on the 2x + 4y =10
Answer:Yes, the point lies on the line.
Step-by-step explanation:
Given coordinate of the locus = (1,2)
Equation of the line 2x+4y = 10
Unknown:
Does the given coordinate lie on the line?
Solution:
The equation given is that of a straight line. To solve this problem, we simply plug the coordinates of the point back into the equation and check if solves it.
x = 1 and y = 2;
2x+4y = 10
So;
2(1) + 4(2) gives 2 + 8 = 10
Yes, the point lies on the line.
Evaluate:
10
Σ¹0 4(1)n-1 = [?]
Round to the nearest hundredth.
Enter
Answer:
Using the formula of geometric progression, we get 5.3333333. After rounding off to the nearest hundredth or to the two digit place after the decimal, we get 5.33.
Step-by-step explanation:
Concept: Given expression means that [tex]4(\frac{1}{4} )^{n-1}[/tex] is a series that starts from n = 1 and ends at n = 10. Or we can say that the given expression is a summation from n = 1 to n = 10. This will make a geometric progression. Use the formula of geometric progression to find the answer.
[tex]4(\frac{1}{4})^{0} + 4(\frac{1}{4})^{1} + 4(\frac{1}{4})^{2} +...+ 4(\frac{1}{4})^{10}\\4\frac{-(\frac{1}{4} )^{11} +1}{-\frac{1}{4} +1} \\4\frac{1}{\frac{3}{4} } \\\frac{16}{3} \\5.33333333\\[/tex]
Now, we want the answer to the nearest hundredth. This means that the answer should have two digits after the point.
The answer, to the nearest hundredth is 5.3333333
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Help me pleaseeeeeeeeeeeeeeeeeeeeee
Answer:
A
Step-by-step explanation:
[tex]s=\frac{a+b+c}{2}[/tex]
multiply both sides by 2
[tex]2s = a + b +c[/tex]
substract b and c from both sides to get a by itself
[tex]a = 2s - (b + c)\\a = 2s - b - c[/tex]
so the answer is A.
Question 3(Multiple Choice Worth 4 points)
Which expression is equivalent to (7³)-2?
1
7-7-7-7-7-7
07
01
7
-1
7-7-7-7-7-7
frm
1. What is pi?
2. And why is it important?
Answer:
pi [π] is the ratio of a circle's circumference to its diameter, and it is constant [meaning it is always the case] for all circles.
{this is a long number, 3.141592653589793238... is not even the full length, but 3.14 [or 3.14159] is typically used for estimation}
The significance of pi is typically centered in math--it can be used to find values that we don't know of circles. There are other areas of math that have been related back to the value of pi--which is incredible, and genuinely relevant.
We can find pi in the shape of rivers, physics--including waves--DNA
[+ anywhere there is a circle]
hope this helps!! :)
Answer:
ratio of circle's circumference to diameter
it is constant
The solution to an inequality is given in interval notation as (2,). What is another way to represent this solution
set?
O
-
-5-4-3 -2 -1 0 1 2 3 4 5
-5-4-3-2-1 0 1 2 3 4 5
4
+
-5 -4 -3 -2 -1 0 1 2
44
3 4 5
The correct answer to this question is Option (4).
Answer:
D.
Step-by-step explanation:
EDG 2022
x^2 - 20x= -2x - 80 what is the intermediate step
least common denominator of 1
[tex] \frac{1}{6} \: and \: \frac{7}{9} [/tex]
lexia ran three laps around her neighborhood. Each lap is 1 and StartFraction 3 over 8 EndFraction miles. Which is the best estimate of the number of miles that Alexia ran?
2 miles
3 and one-half miles
4 and one-half miles
6 miles
Answer: The best estimate of the number of miles that Alexia run is 4 miles.
Step-by-step explanation:
Since we have given that
Length of lap is given by
Number of laps around her neighborhood = 3
So, Total number of miles that Alexia ran is given by
Hence, the best estimate of the number of miles that Alexia run is 4 miles
Randy invested $850 in a regular savings account that paid compound interest at a rate of 3.75% per year, compounded quarterly. How much
was his investment worth in three years? a.$881.88 b.$950.71 c.$100.71 d.$95.63 e. $945.63
Answer:
the answer is a.
Step-by-step explanation:
what is the %rf for .04?
Question Content Area
If fixed costs are $281,000, the unit selling price is $33, and the unit variable costs are $21, the break-even sales (units) if fixed costs are reduced by $38,400 is
a.16,173 units
b.20,217 units
c.24,260 units
d.30,325 units
The correct answer is option b which is the break-even quantity will be 20217 units.
What is the break-even point?
The point at which the company will not have any profit and loss on the products they manufactured they only get the amount they invested in manufacturing the product is called the break-even point.
Given that:-
If fixed costs are $281,000, the unit selling price is $33, and the unit variable costs are $21, the break-even sales (units) if fixed costs are reduced by $38,400.
The formula for calculating break-even quantity will be given as:-
[tex]BEQ = \dfrac{FC}{SP-VC}[/tex]
Here,
FC = Fixed cost = $281000
SP = Selling price = $33
VC = Variable cost = $21
The fixed cost is reduced by $38400 so the fixed cost now:-
FC = $281000 - $38400
FC = $242600
[tex]BEQ = \dfrac{242600}{33-21}[/tex]
BEQ = 20217 units
Therefore the correct answer is option b which is the break-even quantity will be 20217 units.
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Find f(x) and g(x) so that the
function given can be described
as y = f(g(x)).
Answer:
[tex]g(x) = x^3+1\\f(x) = x^2[/tex]
Step-by-step explanation:
Answer:
f(x)=x^2 and g(x)=x^3+1
Step-by-step explanation:
to find y=f(g(x))
substitute g(x) into f(x)
y= (x^3+1)^2.
It has been estimated that 72.7% of alcoholics need professional help to stop drinking. What is the probability that a random alcoholic can kick the habit without professional help? It has been estimated that 72.7 % of alcoholics need professional help to stop drinking . What is the probability that a random alcoholic can kick the habit without professional help ?
The probability that a random alcoholic can kick the habit without professional help is 0.273 .
What is Probability ?Probability is the study of likeliness of an event to happen.
It has a range of 0 to 1 , where 0 indicates uncertainty and 1 indicates certainty.
It is given that
The alcoholics that need professional help to stop drinking is 72.7 %
Therefore the probability of this is 72.7 /100 = 0.727
The probability that they will not need professional help is given by
q = 1 - p
q = 1 -0.727
q = 0.273
Therefore the probability that a random alcoholic can kick the habit without professional help is 0.273 .
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For what value of b does (one-twelfth) superscript negative 2 b baseline times 12 superscript negative 2 b 2 baseline = 12?
There is no solution for b.
The rule for operations done in exponents are
(a) [tex]a^m*a^n=a^{m+n}[/tex]
(b) [tex]a^m/a^n=a^{m-n}[/tex]
(c)[tex](1/a)^m=a^{-m}[/tex]
Given the expression (one-twelfth) superscript negative 2 b baseline times 12 superscript negative 2 b+2 baseline = 12
the expression (one-twelfth) superscript negative 2 b simplifies that [tex](1/12)^{-2b}[/tex]
12 superscript negative 2b+ 2 simplifies that [tex]12^{-2b+2}[/tex]
so the final expression (one-twelfth) superscript negative 2 b baseline times 12 superscript negative 2 b+2 baseline = 12 will be
[tex](1/12)^{-2b}[/tex] * [tex]12^{-2b+2}[/tex] =12
⇒[tex]12^{-(-2b)}\\[/tex] * [tex]12^{-2b+2}[/tex] =12
⇒[tex]12^{2b[/tex] * [tex]12^{-2b+2}[/tex] =12
⇒[tex]12^{2b-2b+2}[/tex]=12¹
equating the exponts of the both sides
⇒2b-2b+2=1
⇒2=1 (not accepted because un-logic condition)
Therefore there is no solution.
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Tioga Company manufactures sophisticated lenses and mirrors used in large optical telescopes. The
company is now preparing its annual profit plan. As part of its analysis of the profitability of individual
products, the controller estimates the amount of overhead that should be allocated to the individual product lines from the following information.
Lenses Mirrors
Units produced ................................................................................................................ 25 25
Material moves per product line ........................................................................................ 5 15
Direct-labor hours per unit ................................................................................................ 200 200
The total budgeted material-handling cost is $50,000.
Required:
1. Under a costing system that allocates overhead on the basis of direct-labor hours, the materialhandling costs allocated to one lens would be what amount?
2. Answer the same question as in requirement (1), but for mirrors.
3. Under activity-based costing (ABC), the material-handling costs allocated to one lens would be
what amount? The cost driver for the material-handling activity is the number of material moves.
4. Answer the same question as in requirement (3), but for mirrors.
Tioga Company manufactures sophisticated lenses and mirrors used in large optical telescopes, the values are mathematically given as
MH1=$1,000MH2=$1,000MH3=$1500MH4=$1500What is the material handling costs allocated?Generally, the equation for Material-handling cost for one lens mathematically given as
MH1=Total projected costs for material handling /{Total number of direct labor hours x Direct labor hours per unit)
MH1={$50,000/10.000)x 200
MH1=$1,000
2)
Material-handling cost for one mirror
MH2=Total budgeted material handling cost/ Total number of direct labor hours x direct labor hours per unit
MH2={$50,000/10.000)x 200
MH2=$1,000
3) Material-handling cost per lens
[tex]MH3=\frac{Total projected costs for material handling}{\frac{Number of material moves per lens + Number of material moves per mirror}{(Total number of lenses)}}* Material moves per lens[/tex]
[tex]MH3=\frac{50,000}{\frac{5+15}{25}}*5[/tex]
MH3=$1500
4)
[tex]MH4=\frac{Total projected costs for material handling}{\frac{Number of material moves per mirror + Number of material moves per lens}{(Total number of mirror)}}* Material moves per mirror[/tex]
[tex]MH4=\frac{50,000}{\frac{5+15}{25}}*5[/tex]
MH4=$1500
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. The probability that a patient catches flu is 3/8, the probability that he has a headache
is 5/15, and the probability that he has asthma is 4/9. If we know the fact that the
probability that the patient will have at least one of the illnesses is 3/5, then what is
the probability that he will have flu, headache, and asthma?
Answer:
[tex]\boxed {\frac{343}{360}}[/tex]
Step-by-step explanation:
Probability Rule :
[tex]\boxed {P(A\cup B \cup C) = P(A) + P(B) + P(C) - P(A \cap B \cap C)}[/tex]
Solving :
⇒ 3/5 = 3/8 + 5/15 + 4/9 - P (A ∩ B ∩ C)
⇒ P (A ∩ B ∩ C) = 3/8 + 1/3 + 4/9 - 1/5
⇒ P (A ∩ B ∩ C) = 135/360 + 120/360 + 160/360 - 72/360
⇒ P (A ∩ B ∩ C) = (135 + 120 + 160 - 72) / 360
⇒ P (A ∩ B ∩ C) = 343/360
Kylee is playing a game she has to receive more than 20 points average of five games to move onto the next level which inequality represents the situation is T represents the total number of points Kylee earned for five games
Answer:
25
Step-by-step explanation:
bc i guess
Rohan had (-4x – 12y + 6z) rupees. He spent (7x – 3y + 8z )to buy new clothes. How much is left with him now?
Please help I’m confused
Answer:
Step-by-step explanation:
Ayuda por favor
Sea ABC un triángulo equilátero de la 2a y altura h
como se muestra en la figura. Si se traza una línea
horizontal que divide la altura del triángulo en dos
partes iguales formando 2 figuras geométricas de
igual altura, entonces el cociente entre el área del
triángulo AMN y el cuadrilátero BMNC es:
A partir de la definición de razón y la teoría de semejanza entre triángulos, la razón del área del triángulo AMN y el área del cuadrilátero BMNC es equivalente a 1/3.
¿Cómo determinar la medida de un lado de un triángulo desconocido?
En este problema tenemos un sistema formado por dos triángulos similares, la semejanza entre los dos triángulos se debe a la colinealidad entre los segmentos de línea AP' (triángulo pequeño) y AP'' (triángulo grande), así como de los lados AM y AB, así como los lados AN y AC, así como los mismos ángulos en la misma distribución. (Semejanza Lado - Ángulo - Lado)
En consecuencia, obtenemos las siguientes proporciones:
AP'/AP'' = MN/BC = 1/2 (1)
Finalmente, la proporción entre el triángulo AMN y el cuadrilátero BMNC es:
[tex]\frac{AMN}{ABC - AMN} = \frac{\frac{1}{2}\cdot a \cdot \left(\frac{1}{2}\cdot h \right)}{\frac{1}{2}\cdot (2\cdot a) \cdot h - \frac{1}{2}\cdot a \cdot \left(\frac{1}{2}\cdot h \right)} = \frac{\frac{1}{4}\cdot a\cdot h }{a\cdot h - \frac{1}{4}\cdot a \cdot h }[/tex]
[tex]\frac{AMN}{ABC - AMN} = \frac{\frac{1}{4} }{\frac{3}{4} } = \frac{1}{3}[/tex]
A partir de la definición de razón y la teoría de semejanza entre triángulos, la razón del área del triángulo AMN y el área del cuadrilátero BMNC es equivalente a 1/3.
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We can describe 3x- 2 as an expression. How can we describe the parts of the expression that the arrows point to? 3x- 2
Step-by-step explanation:
3x - 2 is formatted in the formula y = mx + c
To substitute for 3x - 2
y = 3x -2
