Answer:
First
Outer
Inner
Last
Explanation:
Example : (2x + 3)(3x – 1)
First : (2x)(3x) = [tex]6x^{2}[/tex]
Outer : (2x)(-1) = -2x
Inner : (3)(3x) = 9x
Last : (3)(-1) = -3
Expanded equation :
[tex]6x^{2} + 9x - 2x - 3\\\\6x^{2} + 7x - 3[/tex]
Calculate, to four decimal places, the first ten terms of the sequence. an = 1 + − 1 2 n
The sum of the first ten terms of the given sequence when approximated to four decimal places is; 9.6758
What is the sum of the sequence?
We are given the formula for the sequence as;
aₙ = 1 + (⁻¹/₂)ⁿ
Thus;
First term; a₁ = 1 + (⁻¹/₂)¹ = 0.5
a₂ = 1 + (⁻¹/₂)² = 1.25
a₃ = 1 + (⁻¹/₂)³ = 0.875
a₄ = 1 + (⁻¹/₂)⁴ = 1.0625
Fifth term; a₅ = 1 + (⁻¹/₂)⁵ = 0.96875
a₆ = 1 + (⁻¹/₂)⁶ = 1.01563
a₇ = 1 + (⁻¹/₂)⁷ = 0.99219
a₈ = 1 + (⁻¹/₂)⁸ = 1.00391
a₉ = 1 + (⁻¹/₂)⁹ = 0.99805
Tenth term; a₁₀ = 1 + (⁻¹/₂)¹⁰ = 1.0098
Thus, sum of all those ten terms is;
S₁₀ = 9.6758
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The lagrange corporation had the following budgeted sales for the first half of the current year: cash sales credit sales january $70,000 $340,000 february $50,000 $190,000 march $40,000 $135,000 april $35,000 $120,000 may $45,000 $160,000 june $40,000 $140,000 the company is in the process of preparing a cash budget and must determine the expected cash collections by month. To this end, the following information has been assembled: collections on sales: 60% in month of sale 30% in month following sale 10% in second month following sale the accounts receivable balance on january 1 of the current year was $70,000, of which $50,000 represents uncollected december sales and $20,000 represents uncollected november sales. The total cash collected during january by lagrange corporation would be:
Assuming $20,000 represents uncollected november sales. The total cash collected during january by lagrange corporation would be:$331.500.
Total cash collectedFirst step
Total Credit Sales in December= $50,000/40%
Total Credit Sales in December= $125,000
Second step
Total cash collected during January = Cash sales of January + (60% x Credit sales of January) + (30% x Credit sales of December)+ Uncollected November sales
Let plug in the formula
Total cash collected during January = $70,000 + (60% x $340,000) + (30% x $125,000) + $20,000
Total cash collected during January=$70,000+204,000+37,500+$20,000
Total cash collected during January=$331,500
Inconclusion the total cash collected during january by lagrange corporation would be:$331.500.
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9-4 skills practice solving quadratic equations by factoring
The expression x^2 + 6x + c is a quadratic expression, and the value of c that makes the trinomial a perfect square is 9
How to find the value of c that makes the trinomial a perfect square?The expression is given as:
x^2 + 6x + c
Take the coefficient of 6
k = 6
Divide by 2
k/2 = 3
Take the square of both sides
(k/2)^2 = 9
The value of c is:
c = (k/2)^2 = 9
So, we have:
c = 9
Hence, the value of c that makes the trinomial a perfect square is 9
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A college student earns $ 15 , 000 working part time at a bookstore. the student pays 1 10 of the earnings in taxes, spends 2 5 of the earnings on living expenses, and saves the remainder of the earnings. how much money does the student save?
The amount she will have left having been working as a part time at a bookstore $14,865
What is savings?Savings is the amount left after deducting expenses spent. it is the money set aside for future use and not spent immediately.
Given that:
Total amount earned by the student
= $15000
Earning paid off in taxes
= $110
Amount spent on living expenses
= $25
Amount she will have left
= $15000 - ($110 + $25)
= $15,000 - $135
= $14,865
Hence the amount she will have left is $14,865
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What is the product of 33 and 10\sqrt{28}10 28 in simplest radical form?
The product of 3 and 10√28, in its simplest radical form is: 60√7.
What is Product?Product simiply means the result you get by multiplying two quantities.
Given the values, 3 and 10√28, the product would be found as shown below:
3 × 10√28
= 30√28
Simplify the radical
30√(4 × 7)
30 × 2√7
= 60√7
Therefore, the product of 3 and 10√28, in its simplest radical form is: 60√7.
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True or false in a parallelogram any two opposite sides are congruent
Answer:
True
Explanation:
Among the properties of a parallelogram is that opposite sides are congruent.
hope this helps and is right!! p.s. i really need brainliest :)
What is black and white and has lots of problems worksheet answers
Suppose that 30% of a population carries a certain gene. you want to estimate the probability that it will take at least a sample of four to find a person that carries the gene, how could you simulate a person having or not having the gene?
Answer:
A
Explanation:
Since only 30% of the population carries the gene, that would mean 70% doesn't carry it. Since you are using 10 digits for this experiment (0-9) this would mean that 0-2 would carry the gene (this equals 30%) and 3-9 would not (70%)
Which human activity would preserve non renewable resources
Answer:
conserving and limiting
Explanation:
Hope this Helps!
-Justin
A small rodent lives in an area where the average temperature has been increasing drastically over a very short period of time. As a result, this species of rodent will most likely _____. Have more offspring in order to increase its survival rate evolve to have less hair over the course of a few years become the predominant form of life become extinct if the temperature gets too high
What does "number 8 wire" mean to New Zealanders?
A It represents the ingenuity of New Zealanders, who, it is said, can fix anything with some
number 8 wire.
B. It represents the racial struggles between Europeans and Maori and the wire that was used to
create barriers
C. It represents the struggle of the bush, where number 8 wire was used to create rabbit-proof
fencing
D. It represents the idea that New Zealanders are outdoorsy and like to work on ranches.
Answer:
A
Explanation: Accordingly, the term "number 8 wire" came to represent the ingenuity and resourcefulness of New Zealanders, and the phrase "a number 8 wire mentality" evolved to denote an ability to create or repair machinery using whatever scrap materials are available on hand.
Identify a feeling that ginsberg conveys with his use of style, structure, and theme.
Answer: C. A sense that the speaker feels out of place in 1950s America
Explanation:
Which is one way surface water may become groundwater
Surface water becomes groundwater through infiltration.
What is infiltration?Infiltration is a term to refer to the method by which water seeps into the ground to recharge underground water reservoirs. In this process, the water molecules pass through the soil and are grouped in underground water deposits.
Why is groundwater important?Groundwater is important because it is a reservoir of fresh water for consumption. Additionally, these reservoirs help preserve the surrounding vegetation species.
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All of the following are included in the heading of an income statement except:
Answer:
the header of the income statement.
income statement
business name
the dates of the accounting period that the income statement will cover.
Question 1 with 1 blank si la puerta no está abierta, está 1 of 1. Question 2 with 1 blank marco está 1 of 1 porque tiene un examen hoy. Question 3 with 1 blank juan necesita dormir porque está 1 of 1. Question 4 with 1 blank felipe está 1 of 1 porque no encuentra nada interesante que hacer. Question 5 with 1 blank ana está 1 of 1 porque no encuentra el libro que busca. Question 6 with 1 blank debes limpiar (clean) el piso porque está 1 of 1
The missing words in the presented sentences are:
cerradapreocupadocansadoaburridoenojadasucioHow to identify missing words?To identify the missing words in each sentence, we must review its basic structure, making sure that it has a subject, verb, and complement.
Additionally, we must identify to which category the missing words correspond, in this case they are adjectives. According to the above, the complete sentences would look like this:
1. Si la puerta no está abierta, está cerrada.
2. Marco está preocupado porque tiene un examen hoy.
3. Juan necesita dormir porque está cansado.
4. Felipe está aburrido porque no encuentra nada interesante que hacer.
5. Ana está enojada porque no encuentra el libro que busca.
6. Debes limpiar el piso porque está sucio.
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The element that would be the most effective at accepting electrons from another reagent is
Answer:
Matching the elements to the appropriate blanks as follows :
1) The element that would most effective at accepting electrons is ; CI
2) The element that would be the best insulator is ; Cl
3) The element best to form an ionic compound with sulfur is ; Rb
The acceptance of electrons by elements depends on the electronegativity of the element. from the options listed the element with the highest level of electronegativity is Cl ( chlorine ) therefore it the most effective at accepting electrons
Cl ( chlorine) is a non metal and non-metals are semi-conductors or insulators. therefore Cl would act as the best insulator when compared to other elements.
when metals react with non-metals they form an ionic compound. for sulfur the best metal to react with it is Rb ( soft silvery metal ) and the reaction of Rb and sulfur in hydrogen gas. results in Rb₂S₅
Hence we can conclude Matching the elements to the appropriate blanks as follows : The element that would most effective at accepting electrons is ; CI, The element that would be the best insulator is Cl ,The element best to form an ionic compound with sulfur is ; Rb
Explanation:
Hope this helps :)
Describe what these people are doing or feeling using an expression with tener
People often feel receptive or possessive when using an expression with tener.
What is a tener expression?The Spanish verb "tener" is known to be a term that connotes, to have or possess.
Note that the term is often used in a lot of ways such as "to accommodate", "to experience", "to hold", etc.
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According to your research, you need to budget for insurance and gasoline if you choose to buy or lease the new car. If you choose to buy the used car, you need to budget for insurance and gas
Based on your research, you need to budget $275 for insurance and gasoline if you choose to buy or lease the new car and If you choose to buy the used car, you need to budget $225 for insurance and gas.
What is budget?A budget is a term that connote the estimation that is done for revenue and expenses in a a specified future timeframe.
It is known to be often used by governments, businesses, and individuals and research has shown that a person needs to budget $275 for insurance to buy or lease the new car.
See full question below.
According to your research, you need to budget _____
for insurance and gasoline if you choose to
buy or lease the new car.
If you choose to buy the used car, you need to budget _____
for insurance and gas.
$225 $200
$250 $225
$275 $250
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Answer:
$275
$225
Explanation:
select the correct proper or common name for the compound.
Answer:
Select the correct proper or common name for the compound. ) ale F F The compound is named: benzyl 2,3,4-trifluorobutanoate phenyl 2,3,4-trifluorobutanoate phenyl 1,2,3-trifluorobutanoate O 1,2,3-trifluoropropylbenzoate Classify the compound by family. The compound is an ester an anhydride an acid chloride a carboxylic acid an amide.
Explanation:
identify the correct descriptions of these major anchorages that thrived because of powerful rulers who wished to generate commercial wealth.
A major anchorage that thrived because of powerful rulers who wished to generate commercial wealth is Melaka.
What is an entrepot?An entrepot can be defined as a trading station that is situated or established at the borders between communities and towns in a country, so as to make trade-related changes possible for different trade partners.
Basically, Melaka is a key cosmopolitan entrepot that is situated (located) or established to the east of the Bay of Bengal and it thrived because of its close proximity to the Malayan tropical produce.
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Alicia accidentally hit the bumper of her car by driving into a tree. she has a car insurance policy with $1000 deductible. the total damage to the car is $500. how much will the car insurance company pay in this scenario?
Answer:
nothing.
Explanation:
trust me
A company produces light bulbs each week. written in scientific notation, which is the best estimate of how many light bulbs the company will make in weeks? light bulbs light bulbs light bulbs light bulbs
The number of light bulbs that the firm will make in 9.36 × 10² weeks is 4.27 × 10^(6) bulbs.
What is Scientific notation?This is known to be the method used to write a figure that very large or very small numbers.
Note that when the company makes a fixed quantity of light bulbs in a week, the amount of light bulbs can only be seen or found by multiplying that quantity by the number of weeks.
4.56 * 10^3 * 9.36 * 10^2
= 42.6816 * 10^5
= 4.26816 * 10^6.
Therefore, The company will produce 4.27 * 10^6 light bulbs in that time frame.
See full question below
A company produces 4.56*10^3 light bulbs each week. Written in scientific notation, which is the best estimate of how many light bulbs the company will make in 9.36*10^2 weeks?
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identify the true and false statements related to race, ethnicity, and work.
Race is the distinctive physical trait of a person, ethnicity is the social group an individual belongs to, while work is the physical or mental activities an individual is involved with.
The statements about race, ethnicity, and workThe statements made about race, ethnicity, and work that are true include the following:
Some lower-level jobs have shifted from African Americans to Hispanics over time.Blacks are overrepresented in nursing, psychiatric, and home health aide positions.The median income for Hispanics is higher than the median income for blacks.The statements made about race, ethnicity, and work that are false include the following:
The median income for whites is higher than the median income for Asian Americans.Learn more about ethnicity here:
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When a ball is dropped down from rest and air friction is neglected, determine the speed it is gaining per second.
Answer:
yes it is true it is gaining per second
What was one of the primary challenges that lenin faced in converting russia into a communist state?
17.1 equation of a circle evaluate homework and practice
Based on the calculations, the radius of this circle with the given equation is equal to 5 units.
Given the following data:
[tex]x^2+y^2+8x-6y+21=0[/tex]The equation of a circle.Mathematically, the standard form of the equation of a circle is given by;
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where:
h and k represents the coordinates at the center.r is the radius of a circle.Expanding the equation, we have:
[tex]x^2+y^2-2hx-2ky+(h^2+k^2-r^2)=0\\\\r=\sqrt{h^2+k^2}[/tex]
Comparing the terms, we have:
[tex]-2hx = 8x\\\\-2h=8\\\\h=\frac{8}{-2}[/tex]
h = -4
[tex]-2ky = -6y\\\\-2k=6\\\\k=\frac{6}{-2}[/tex]
k = 3.
Now, we can determine the radius:
[tex]r=\sqrt{-4^2+3^2}\\\\r=\sqrt{16+9} \\\\r=\sqrt{25}[/tex]
r = 5 units.
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Fast food restaurants keep food warm by placing them under heat lamps. These lamps transfer heat by what means?
Answer:
Fast food restaurants keep food hot with infrared lamps. The heat is transferred to the food by radiation
Explanation:
the heat lamps produce radiation just like a microwave.
when a company cannot fully satisfy demand because of a constraint, which of the following describes an action that should not be taken?
The action that should not be taken by the company is tightening the constraints.
How does a company satisfy their demands?A company is able to satisfy the demands from its customers through the following:
empowering of customers as they like to be valued,satisfying fragmented demands,increasing agility andintroducing innovative services.Therefore,when a company cannot fully satisfy demand because of a constraint, the action that should not be taken by the company is tightening the constraints.
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Envision algebra 2 answer key pdf additional practice
Transforming the function f(x) involves changing its position
The function f(x) is translated 4 units up to create the function g(x)
How to translate the function?
From the complete question (see attachment), we have:
f(x) = |x|
g(x) = f(x) + 4 = |x| + 4
The above means that:
The function f(x) is translated 4 units up to create the function g(x)
Also, the transformation ensures that the domain of both functions are the same, however the range of function g(x) is g(x) >= 4
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Which of the following statements about the art of the Pacific Islands is false?
A.
Traditional religions forbid the making of religious art.
B.
Carving is a specialized art form that is practiced in the Pacific Islands.
C.
Featherwork is an art form of the Pacific Islands.
D.
Shells are used for artwork.
Answer:
The answer is A. Traditional religions forbid the making of religious art.
Explanation: