Identify the 27th term of an arithmetic sequence where a1 = 38 and a17 = −74.

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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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:

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 ______.

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 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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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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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 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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Ans The NRF guiding principles

Explanation:

The NRF is built on scalable, flexible, and adaptable concepts.

Scalable, flexible, and adaptable operational capabilities are indeed included in the (NRF)National Response Framework's five key principles.

The National Response Framework (NRF) is a comprehensive guide developed by the United States Department of Homeland Security to facilitate effective response and recovery efforts during emergencies, disasters, and incidents. The NRF's five key principles, known as the "Five Mission Areas," outline the fundamental aspects of emergency management. These mission areas include:

1. Prevention: Activities aimed at preventing emergencies or disasters from occurring. This involves measures such as risk assessment, hazard mitigation, and public education to minimize the likelihood of incidents.

2. Protection: Actions focused on safeguarding individuals, critical infrastructure, and key assets from potential threats and hazards.

3. Mitigation: Efforts to reduce the impact and severity of disasters by implementing measures to minimize the potential damage and disruption caused by hazards.

4. Response: Immediate actions are taken to address and manage the consequences of an incident. This includes coordinating emergency response activities, mobilizing resources, conducting search and rescue operations, providing medical assistance, and ensuring public safety.

5. Recovery: Activities aimed at restoring affected communities and rebuilding the impacted areas after an incident. This includes facilitating the recovery process, providing assistance to individuals and businesses, restoring critical services, and rebuilding infrastructure.

In summary, scalable, flexible, and adaptable operational capabilities are integral to the National Response Framework's five key principles, as they enable effective emergency management and response during various incidents and disasters.

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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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Answer:

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

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:

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:

There are a lot of  math for  grade 7. An example of practice and skills fluency work is Adding and Subtracting Integers.

An example of Adding and Subtracting Integers is: Solve for  -5+(-3)

−5+(−3).

Note that to  add integers having the same sign, one has to keep the same sign and then they can add the absolute value of each number.

We are given the expression −5+(−3)

The next step is to use counters to stand in place of the numbers -5 and -3:

Note that there  are 5+3 - -8 counters and all the counters stands as negative integer.

To evaluate the expression, on can see that there are:

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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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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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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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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:

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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[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:

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.

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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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:

15

Explanation: cause 1/2

The chemical equations that show  a reaction that occurs when someone takes an antacid are;

Hydrochloic acid would normally react with the basic substances in the stomach. Now, these substances that react with hydrochloric acid in the stomach are magnesium hydroxide, sodium bicarbonate and calcium carbonate.

Thus, from the above dewscription, the chemical equations that show  a reaction that occurs when someone takes an antacid are;

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12.2g answer

Try the stoichiometry method. You should get 12.2g as the answer

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.

Answer:

6.58 X 10⁻¹³ N

Explanation: