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:

The sequence an = 1 + (-3/7)^n is neither an arithmetic progression nor a geometric progression

The first ten terms of the sequence are 0.5714, 1.1837, 0.9213, 1.0337, 0.9855, 1.0062, 0.9973, 1.0011, 0.9995 and 1.0002

The nth term of the sequence is given as:

an = 1 + (-3/7)^n

The first ten terms are calculated as follows:

a1 = 1 + (-3/7)^1 = 0.5714

a2 = 1 + (-3/7)^2 = 1.1837

a3 = 1 + (-3/7)^3 = 0.9213

a4 = 1 + (-3/7)^4 = 1.0337

a5 = 1 + (-3/7)^5 = 0.9855

a6 = 1 + (-3/7)^6 = 1.0062

a7 = 1 + (-3/7)^7 = 0.9973

a8 = 1 + (-3/7)^8 = 1.0011

a9 = 1 + (-3/7)^9 = 0.9995

a10 = 1 + (-3/7)^10 = 1.0002

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The force between the two identical electrical charges with the given distance of seperation is 0.2247N.

Given the data in the question;

Coulomb's law states that the force between two electrical charges is directly proportional to the product of the charges and inversely proportional to the square of the distance between the two charges.

This is expressed as;

[tex]F = k\frac{q_1q_2}{r^2}[/tex]

Where [tex]q_1\ and \ q_2[/tex] are the two electrical charges, r is the distance between the charges and k is the Coulomb constant ( [tex]k = 8.98755*10^9 kgm^3/s^2C^2[/tex] )

To determine the force between the two charges, we substitute our values into the expression above.

[tex]F = k\frac{q_1q_2}{r^2}\\\\F = (8.98755*10^9 kgm^3/s^2C^2)\frac{(1.0*10^{-5}C)(1.0*10^{-5}C)}{(2.0m)^2}\\\\F = (8.98755*10^9 kgm^3/s^2C^2)\frac{1.0*10^{-10}C^2}{4.0m^2}\\\\F = \frac{0.898755kgm^3/s^2}{4.0m^2}\\ \\F = 0.2247kgm/s^2\\\\F = 0.2247N[/tex]

Therefore, the force between the two identical electrical charges with the given distance of seperation is 0.2247N.

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Houghton Mifflin Harcourt geometry volume 2 is one that covers the topics on the use of Similar Triangles, transformation and others. It is a textbook that helps students to sharpen their knowledge on geometry.

This is known to be the 21st Edition geometry textbook that was written by Houghton Mifflin Harcourt . Some of the topics covered in this geometry textbook are:

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Answer:

Explanation:

The correct answer is the option B: alignment.

Explanation:

On one hand, design elements comprehends the term that describes fundamental ideas about the practice of visual design, such as the color, the points the lines, etc.

On the other hand, alignment is the name given, in the field of design, to the term that describes how a text is placed in order on the screen. Moreover, it enables the composition of a text document using different text positioning on the whole or selected part of a page.

Answer:B.

Explanation:

Answer:

Selective permeability of the cell membrane refers to its ability to differentiate between different types of molecules, only allowing some molecules through while blocking others.

The kinetic energy of the two-block system with the given masses before the collision is determined as ³/₂Mvs².

The kinetic energy of the blocks before the collision is calculated as follows;

For a negligible friction effect, the kinetic energy of the two - block system after the collision is equal to the kinetic energy before the collision.

K.E(initial) = K.E(after)

K(after) = ¹/₂(m₁ + m₂)vs²

K(after) = ¹/₂(m + 2m)vs²

K(after) = ¹/₂(3m)vs²

[tex]K.E(after) = \frac{3}{2} Mv_s^2[/tex]

Thus, the kinetic energy of the two-block system with the given masses before the collision is determined as ³/₂Mvs².

The complete question is below:

block x of mass m slides across a horizontal surface where friction is negligible. block x collides with block y of mass 2m that is initially at rest, as shown in figure 1. after the collision, both blocks slide together with a speed vs , as shown in figure 2.

What is the kinetic energy of the two-block system before the collision?

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The volume of the figure is the amount of space in it.

Using the assumed values, the volume of the cone is 37.68

The question is incomplete; so I will give a general explanation on how volumes can be calculated..

Assume the figure is a cone of the following dimension:

Radius (r) = 3 meters

Height (h) = 4 meters

The volume of a cone is calculated as:

[tex]V = \frac13 \pi r^2h[/tex]

So, we have:

[tex]V = \frac13 * 3.14 * 3^2 * 4[/tex]

[tex]V = 37.68[/tex]

Using the assumed values, the volume of the cone is 37.68

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Answer:

Application Softwares

The probability of drawing three aces in a row is the likelihood of drawing three aces

The probability of drawing three aces in a row is 0.000181

In a standard deck of 52 cards, there are 4 aces.

Given that the selection is without replacement; then we have the following selections:

The probability is then calculated as;

[tex]P = \frac{4}{52} * \frac{3}{51} * \frac{2}{50}[/tex]

Evaluate the products

[tex]P = 0.00018099547[/tex]

Approximate

[tex]P = 0.000181[/tex]

Hence, the probability of drawing three aces in a row is 0.000181

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Answer:

y

=

ln

x

ln

4

Explanation:

Switch the places of

x

,

y

and subsequently solve for

y

:

y

=

4

x

x

=

4

y

ln

(

4

y

)

=

ln

x

We need to get an explicit solution, IE, isolate

y

.

Recalling that

ln

(

a

b

)

=

b

ln

a

:

y

ln

(

4

)

=

ln

x

y

=

ln

x

ln

4

Explanation:

The building of a hacker rank is one that cost a lot of money and as such the minimum cost is  4.

The minimum cost is the lowest cost that is needed to complete a building.  It depends on:

When one is given input such as : [[1,2,3],[1,2,3],[3,3,1]] (the values in column stands for the cost of materials)

The output : 4

So you have to:

Select  material-1 of cost 1 in first house(row)

Select  material-2 of cost 2 in second house(row)

Select   material-3 of cost 1 in third house (row)

total = 1+2+1 -> 4

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The graph of the normal distribution of the random sample size of 24 will have the shape of a bell curve.

The value of k such that P(-2.069 < T < k) = 0.965 is 2.5

The sample size is given as:

n = 24

This means that the degrees of freedom is:

df = n - 1

df = 24 - 1

df = 23

The probability is given as:

P(-2.069 < T < k) = 0.965

This can be rewritten as:

P(T>-2.069) - P(T>k) = 0.965

The value of P(T>-2.069) at a degrees of freedom of 23 and [tex]\alpha[/tex] = 0.025 is 0.975

So, we have:

0.975 - P(T>k) = 0.965

Collect like terms

P(T>k) = 0.975 - 0.965

Evaluate the difference

P(T>k) = 0.01

The value of k that makes P(T>k) = 0.01 is 2.5.

So, we have:

k = 2.5

Hence, the value of k is 2.5

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Answer:

c

Explanation:

King’s view of the disorder that is occurring as a result of civil rights demonstrations is that It is necessary to the eventual defeat of injustice.

Civil rights are known to be a key aspect of democracy. They are said to be the rights that guarantees the act of equal social opportunities and protection as viewed under the law putting aside race, color, etc.

Conclusively, King’s opinion in regards to  the disorder that is happened as a result of civil rights demonstrations is that It is needed so that they can be able to the defeat of injustice.

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The identification of the polynomial expression is as follows:

A polynomial shows the relation of more than two algebraic terms and the sum of powers of a polynomial in more than one variable. Polynomials are represented in terms of [tex]\mathbf{kx^n}[/tex];

where;

The degree of a polynomial expressions can be:

Let's assume we have the following equation;

Their degree of polynomial expression is:

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Answer:

Late answer, but the answer is: A the countries occupied by Germany.

Explanation:

For future people I guess

The United States, Great Britain, the Soviet Union, and France participated in a joint occupation of the German state following Germany's defeat in the Second World War. Thus, option A is correct.

In Germany's defeat in World War II, the country was jointly occupied by the continent's four major allies: the United States, Great Britain, the Soviet Union, and France.

The military overthrow of the Soviet Union; the abolition of the alleged Communist menace to Germany; and the seizing of valuable Soviet-controlled land as Lebensraum (German for “Living space”) for long-term German settlement.

During World War II, Germany's air raids posed the toughest challenges to halting its incursions into Europe. For the neighboring European nations, Adolf Hitler's military prowess and fast-moving ground forces made life extremely tough.

Therefore, the countries occupied by Germany.

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Based on the number of years, and the number of nesting sites, the exponential function that best models the data is B. n(x) = 46,797(0.93)ˣ.

You can find the correct function by testing out the options with the given x value to see if it correctly predicts the number of nesting sites.

Function n(x) = 25,956.80(1.08)ˣ

Assuming x is 3:

= 25,956.80(1.08)³

= 32,698 sites

This function does not predict the correct number of sites which is 40,513.

Function n(x) = 46,797(0.93)ˣ

Assuming x is 3:

= 46,797(0.93)³

= 37,438 sites

This is closer to the predicted number of 40,513 sites with some discrepancy.

In conclusion, option B is correct.

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Answer:

For long-lived assets that have been in use for more than one accounting period, Depreciation Expense on the debit. Accumulated Depreciation on the credit.

Explanation:

Therefore, the entry that was made by the accountant, assets and stockholders' equity will be decreased.

For long-lived assets that have been in use for more than one accounting period, Depreciation Expense on the income statement will be less than Accumulated Depreciation on the balanced sheet. The correct option is 2.

Depreciation expense is shown on the Income Statement for long-lived assets that have been in use for more than one accounting period, while accumulated depreciation is reported on the Balance Sheet.

The part of an asset's cost that is spread out as an expense over its useful life is represented by depreciation expense.

It is deducted from the company's net income for the accounting period and reported as an operational expense on the income statement.

Thus, depreciation expense is shown as an expense on the income statement, which lowers net income, while accumulated depreciation is shown as an asset's carrying value on the balance sheet. The correct option is 2.

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Your question seems incomplete, the probable complete question is:

For long-lived assets that have been in use for more than one accounting period, Depreciation Expense on the ______ Accumulated Depreciation on the ______.

[tex]\green{ \underline { \boxed{ \sf{Force,F= Mass \times Acceleration }}}}[/tex]

So,

[tex] \sf Acceleration,a = \frac{Force}{Mass}[/tex]

[tex] \sf \implies \frac{20}{32} [/tex]

[tex]\implies \frac{5}{8} m/s^2[/tex]

Now,

By first equation of motion -

[tex]\green{ \underline { \boxed{ \sf{v-u=at}}}}[/tex]

So,

[tex]\sf t = \dfrac{v-u}{a} [/tex]

where

Putting Values -

[tex]\sf t = \dfrac{9-4}{ \dfrac{5}{8}} [/tex]

[tex]\sf t = \dfrac{5}{ \dfrac{5}{8}} [/tex]

[tex]\sf t = \cancel5 \times \dfrac{8}{\cancel{5}} [/tex]

[tex]\sf t = 8 \:seconds[/tex]

>>>Therefore, Force is applied for 8 seconds.

Answer:

A struggle between the Eastern Bloc and the West that lasted 40 years.

Answer:

6.58 X 10⁻¹³ N

Explanation:

The trigonometric functions are known to be sine, cosine, tangent, cotangent, secant and cosecant.

The term  trigonometric functions are known to be a kind of real functions that helps to link an angle of a right-angled triangle to other ratios of two side lengths of that angle.

Note that they are often used in the field of sciences that are associated with  geometry, such as the area of  navigation, solid mechanics and also in the physics field.

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The table is an illustration of arithmetic sequence

The equation of the arithmetic sequence is B(s) = 7.5s

From the table (see attachment), we have the following formula

B(s) = 7.5s

For s =0 to 4, we have:

B(0) = 7.5(0) = 0

B(1) = 7.5(1) = 7.5

B(2) = 7.5(2) = 15

B(3) = 7.5(3) = 22.5

B(4) = 7.5(4) = 30

So, the complete table is:

s       B(s)

0        0

1         7.5

2        15

3       22.5

4       30

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The expected value of a car worth $25,000 after 5 years will equals to $11,093.

[tex]A = P (1 + r/n)^ni[/tex] where p = $25,000, r= 0.15, i = 1, i = 5

A = 25000* (1 + -0.15/1)^5*1

A = 25000*(0.85)^5

A = 25000*0.4437053125

A = 11092.6328125

A = $11,093

Hence, the expected value of a car worth $25,000 after 5 years will equals to $11,093.

Therefore, the Option B is correct.

Full question "What is the expected value of a $25,000 car after 5 years (rounded to nearest whole dollar)? A) $20750 B) $11093 C) $9429 D) $6250?

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It is true that a project whose positive exceeds its negative is more likely to be enacted than one that is the opposite.

A project is defined as a sequence of tasks that must be completed to attain a certain outcome. The aim of any project should be to infuse positivity and valuable contributions to society.

If the pros of a project exceed its cons, it will most likely be accepted and utilized because of the usefulness it serves.

Hence, it is true that a project whose positive exceeds its negative will be more likely to be enacted.

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This exercise refers to the explanation of what distributive property is especially in relationship to addends.

The process of obtaining the product of the addition of two or more addends by a figure that gives the same result as multiplying each addend individually by that figure and then adding their products together is referred to as distributive property.

A great example of distributive property is given below:

When asked for the answer of 5 (6 +1), applying distributive property, we have:

5(6+1) = 5 x 6 + 5 X 1 = 35.

Note that the 5 outside the bracket is used to multiply everything inside the bracket, hence the effect of Distributive Properties.

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Answer:

Lamarckism, a theory of evolution based on the principle that physical changes in organisms during their lifetime—such as greater development of an organ or a part through increased use—could be transmitted to their offspring.

Answer:

15

Explanation: cause 1/2

The expressions are illustrations of rational exponent expressions

The equivalent expressions are [tex](8x)^\frac 12 = 2\sqrt{2x[/tex], [tex]6z^\frac 12 = 6\sqrt z[/tex] and [tex]\sqrt{19} = 19^\frac 12[/tex]

From the complete question (see attachment), we are to simplify or rewrite the following expressions

[tex](8x)^\frac 12[/tex]

[tex]6z^\frac 12[/tex]

[tex]\sqrt{19[/tex]

For [tex](8x)^\frac 12[/tex], we simply apply the exponent rule of indices

[tex](8x)^\frac 12 = \sqrt{8x[/tex]

Express 8 as 4 * 2

[tex](8x)^\frac 12 = \sqrt{4 * 2x[/tex]

Take the square root of 4

[tex](8x)^\frac 12 = 2\sqrt{2x[/tex]

For [tex]6z^\frac 12[/tex], we apply the exponent rule of indices

[tex]6z^\frac 12 = 6\sqrt z[/tex]

For [tex]\sqrt{19[/tex], we apply the the same rule

[tex]\sqrt{19} = 19^\frac 12[/tex]

Hence, the equivalent expressions are [tex](8x)^\frac 12 = 2\sqrt{2x[/tex], [tex]6z^\frac 12 = 6\sqrt z[/tex] and [tex]\sqrt{19} = 19^\frac 12[/tex]

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