Consider the information about the economy of Pakistan. Note that the currency of Pakistan is the rupee.
The government purchases: 3.30 trillion of rupees.
Individuals consume: 9.50 trillions of rupees.
Individuals save: 5.44 trillions of rupees.
Businesses invest: 1.20 trillions of rupees.
Foreigners spend: 0.50 trillions of rupees to purchase Pakistani firms.
Pakistan imports: 2.13 trillions of rupees.
Pakistan exports: 1.40 trillions of rupees.

Calculate Pakistan's GDP. Assume that the values are all current and no conversions need to be made. Give your answer in terms of trillions of rupees, and round to two decimals.

Therefore, the result of the synthetic division of 4x³ - 14x² + 17x - 10 by x - 2 is: 4x² - 6x + 5

Division is a mathematical operation that involves splitting a quantity into equal parts. It is the inverse or opposite of multiplication. Division is used to find out how many times one quantity is contained within another quantity, or to distribute a quantity evenly among a given number of groups. In division, the quantity being divided is called the dividend, the quantity by which the dividend is divided is called the divisor, and the result is called the quotient. The dividend is divided by the divisor to obtain the quotient.

Here,

To perform synthetic division of 4x³ - 14x² + 17x - 10 by x - 2, we need to set up the division table as follows:

  2 | 4  -14   17  -10

    |    8  -12   10

    |--------------

    | 4  -6    5    0

        2 | 4  -14   17  -10

          |    8  -12   10

          |--------------

          | 4

        2 | 4  -14   17  -10

          |    8  -12   10

          |--------------

          | 4  -6

        2 | 4  -14   17  -10

          |    8  -12   10

          |--------------

          | 4  -6   5

        2 | 4  -14   17  -10

          |    8  -12   10

          |--------------

          | 4  -6   5    0

The first row of the table contains the coefficients of the dividend, 4x³ - 14x² + 17x - 10, written in descending order of powers of x. The divisor, x - 2, is written to the left of the table.

To perform the division, we bring down the first coefficient, which is 4, and multiply it by the divisor, x - 2, to obtain 4x. We write this result under the second coefficient, -14, and add the two values to get 4x - 28, which we then repeat the process, multiplying it by the divisor to obtain 4x - 8.

We continue this process until we reach the last row, which contains the coefficients of the quotient. The last term, 0, indicates that there is no remainder.

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Answer:

Kate.

Step-by-step explanation:

Answer:

Kate, 29.26 is correct

Step-by-step explanation:

99.91 - 70.65 is 29.26

The scale factor from the smaller prism to the larger prism is 2. This means that the larger prism is twice as large as the smaller prism in all dimensions.

To find the scale factor of a prism to another prism, you need to compare the corresponding dimensions of the two prisms. For example, if you have a rectangular prism with dimensions of 4 cm x 3 cm x 5 cm and another rectangular prism with dimensions of 8 cm x 6 cm x 10 cm, you can compare the lengths, widths, and heights to find the scale factor.
To do this, you can divide the corresponding dimensions of the larger prism by the corresponding dimensions of the smaller prism. In this example, the scale factor would be:
Length: 8 cm ÷ 4 cm = 2
Width: 6 cm ÷ 3 cm = 2
Height: 10 cm ÷ 5 cm = 2
Therefore, the scale factor from the smaller prism to the larger prism is 2. This means that the larger prism is twice as large as the smaller prism in all dimensions.

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Answer:

0.495 probability that Jim and Molly take counters of different colours

Step-by-step explanation:

For each trial, there are only two possible outcomes. Either a blue counter is picked, or a red counter is picked. The counter is put back in the bag after it is taken, which means that we can use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

The probability that the counter is red is 0.45

This means that \(p = 0.45\)

Jim taken a counter, then Molly:

Two trials, so \(n = 2\)

What is the probability that Jim and Molly take counters of different colours?

One red and one blue. So this is P(X = 1).

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 1) = C_{2,1}.(0.45)^{1}.(0.55)^{1} = 0.495\)

0.495 probability that Jim and Molly take counters of different colours

Answer:

92

Step-by-step explanation:

5 times 18=90

90+2=92

you do times first because order of operations.

Answer:

92

Step-by-step explanation:

goodluck

Answer:

Step-by-step explanation:

Use the law of cosines:

Apply to the given triangle and solve for x:

Answer:

f'

Step-by-step explanation:

What?

Yeah I gues well

YEE

The solution is, the simplification of the equation is :

4x^2 - 4 = (2x -2 ) (2x+2)

Here, we have,

given that,

the expression is:

4x^2 - 4

now, we have to simplify this.

we know that ,

The a^2 - b^2 formula is also known as "the difference of squares formula". The a square minus b square is used to find the difference between the two squares without actually calculating the squares.

It is one of the algebraic identities.

It is used to factorize the binomials of squares.

The a^2 - b^2 formula is given as:

a^2 - b^2 = (a - b) (a + b).

so, we have,

4x^2 - 4

= (2x)^2 - 2^2

= (2x -2 ) (2x+2)

Hence, The solution is, the simplification of the equation is :

4x^2 - 4 = (2x -2 ) (2x+2)

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Answer:

y =2/3 -9

Step-by-step explanation:

a) Probability of occurrence of evant A is equals to the 7/10.

P(not getting a white or a blue shirt), P(Aᶜ ) is equals the 3/10.

Probability of occurrence of evant B is equal to the 1/2.

b) The events A and B are not mutually exclusive

c) Mike's preference is to getting a white shirt with his size L.

We have a probabality based problem. Probability is defined as chance of occurrence of an event or result. It can be calculate as favourable outcomes divided by total possible outcomes. There is total number of avaliabile shirts = 20 i.e., total possible outcomes = 20

Mike is interested in getting a white or a blue shirt in size L. Let us consider two events :

A : Getting a white or a blue shirt

B: Getting a shirt in size L

a) Number of favourable outcomes to getting white or a blue shirt = 9 white or 5 blues

Probability ( Getting a white or a blue shirt) , P(A)

= 9/20 + 5/20 + 0 = 14/20 = 7/10

P(not Getting a white or a blue shirt), P(Aᶜ )

= 1 - P(A) = 1 - 7/10 = 3/10

ii) The number of favourable outcomes for event B, n(B) = 10

So, Probability of getting a shirt in size L, P(B)

= 10/20 = 1/2

b) Mutually exclusive events are defined as the events that can't happen at the same time. In other words AnB = 0 . Here, we see there is total 14 shirts which are in white or blue colors and 10 are in size L , So there is possibility that shirt is white or blue in colour and in size L , i.e, An B ≠0

So, events A and B are not mutually exclusive.

c) Event ,n( A u B )= n(A) + n(B) - n(A n B)

On the basis of all details, we conclude that Mike's preference is to choose white shirt with size L .

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The actual distance between the two cities is 70 kilometers.

The scale factor states the scale or measurement by which a figure is bigger or smaller than the other figure. The size by which the figure would be reduced or enlarged is called its scale factor.

Given that;

The distance between 2 cities is 3.5 cemtimetes

the map uses a scale in which 1 centimeter represents 20 kilometers

Since, One centimeter represents 20 kilometers

3.5 x 20 = 70

Theefore, the actual distance between the two cities;

70 kilometers.

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Answer:

\(y = x - 5\)

Step-by-step explanation:

GIVEN :-

TO FIND :-

FACTS TO KNOW BEFORE SOLVING :-

Lets say there's a line whose slope is 'm' & y-intercept is 'c'. So, the equation of line in slope-intercept form is → \(\boxed {y = mx + c}\)

SOLUTION :-

By using the basic idea of slope-intercept form , the equation of line given in the question is :-

\(y = (1 \times x) + (-5)\)

\(=> y = x - 5\)

Answer:

To one decimal place,

y = 16.3 m

Step-by-step explanation:

Using SOHCAHTOA,

In this case we need to use CAH,

WE know the angle = 25 and the hypotenuse H = 18,

so,

y = adjacent

\(cos(angle) = y/H\\y = (18)(cos(25))\\y = 16.3135\\y = 16.3\)

Answer: 16.3 in.

Step-by-step explanation:

use SOH CAH TOA

cos x = adj/hyp

cos 25  = y/18

18 cos 25  = y

y= 16.3

Answer:

Step-by-step explanation:

The correct answer is true. If you know that the relationship between quantities is proportional, you can use proportions to find missing quantities.

Equation of line:

y = mx + c

we need to find the slope of the line using any two points:

using points (-3, 3) and (3, 1)

c = y -intercept

This is the point the line crosses the y axis. The line cross y axis at y = 2

c = 2

The equation of line becomes:

Answer:

it's 9

Step-by-step explanation:

i dont know how to explain

Answer:

80

Step-by-step explanation:

8 pints in a gallon so then you multiply 8 x 10 and get 80

The interviewer should provide clear and concise feedback on the candidate's performance in the interview, and ensure that the feedback is related to the job requirements.

In addition, the interviewer should ask relevant questions to get an idea about the interviewee's knowledge, skills, and abilities.Overall, the interviewer should strive to be fair and objective throughout the interview process, to minimize the risk of Unbiased Errors.

An interviewer officer selects a person not suitable for the job, this error is known as Unbaised Error.What is an Unbiased Error?An Unbiased error happens when you make an incorrect judgment regarding the interviewee, which may occur when the interviewer is unable to assess the interviewee objectively.

There are many factors that could contribute to an Unbiased Error, such as the interviewer's opinions and preconceptions, their biases or prejudices, the interviewer's inadequate understanding of the job requirements, or the applicant's inadequate preparation for the interview.In an unbiased interview, the interviewer does not have any preconceived ideas or predetermined judgments about the interviewee's knowledge, skills, or abilities.

The interviewer should be able to provide equal chances for all applicants, regardless of their gender, ethnicity, or any other factors that are not related to the job requirements.The interviewer should also assess the interviewee objectively, with no favoritism or bias.

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Answer:

Step-by-step explanation:

You want the length of the minimum perimeter fence to enclose 3 sides of a rectangular area of 128 m² with one side of the enclosure provided by a river. You also want the enclosure dimensions.

If x represents the dimension of the enclosure parallel to the river, then the other dimension of the enclosure is found from ...

  A = LW

  128 = x·W

  W = 128/x

There will be two sides of this length, so the perimeter is ...

  P = L +2W = x +2(128/x)

  P = x + 256/x

This has an extreme value (minimum) where its derivative is zero:

  dP/dx = 0 = 1 -256/x²

Solving for x gives ...

  x² = 256

  x = √256 = 16

and the perimeter is ...

  P = 16 +256/16 = 32

The other dimension is 128/16 = 8.

The minimum perimeter is 32 meters; the enclosure is 16 by 8 meters.

__

Additional comment

This can be solved without using derivatives by working the reverse problem: the largest area for a given perimeter.

Using the same definition of x, the area in terms of perimeter is ...

  A = x · (P -x)/2

This is a quadratic equation with a maximum halfway between its zeros at x=0 and x=P. So, the value of x for maximum area is x = P/2. That area is ...

  A = (P/2)(P -P/2)/2 = (P/2)(P/4) = P²/8

Or, the minimum perimeter for a given area is ...

  P = √(8A)

In this problem, that is ...

  P = √(8·128) = √1024 = 32

The dimensions of the enclosure are (P/2)×(P/4) = 16×8.

Answer:

Payment Every Month   $314.80

Total of 120 Payments   $37,776.16

Total Interest   $12,276.16

Step-by-step explanation:

Answer:

x = 19

Step-by-step explanation:

(4x - 4) and (6x - 6) are a linear pair and sum to 180° , that is

4x - 4 + 6x - 6 = 180

10x - 10 = 180 ( add 10 to both sides )

10x = 190 ( divide both sides by 10 )

x = 19

Answer: 1256.63706

Step-by-step explanation: A=(π20)2

The approximate area of the circle segment bounded by arc DE and chord DE is approximately 17.72 square units.

To approximate the area of the circle segment bounded by arc DE and chord DE, you can use the following formula:

Area = (1/2) * r^2 * (θ - sinθ)

Where:

r is the radius of the circle (r = 20 in your case).

θ is the central angle in radians (47° converted to radians is approximately 0.8203 radians).

Let's calculate it:

θ = 47° * (π / 180) ≈ 0.8203 radians

Now, plug these values into the formula:

Area = (1/2) * (20^2) * (0.8203 - sin(0.8203))

Area ≈ (1/2) * 400 * (0.8203 - 0.7317)

Area ≈ (1/2) * 400 * 0.0886

Area ≈ 17.72 square units

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Answer:

-2 and -4

Step-by-step explanation:

When the quadratic equation equals 0, that means when y = 0.

By looking at the graph, whenever y = 0 is when the graph crosses the x-axis.

The graph crosses the x-axis at only two points:

(-4, 0) and (-2, 0)

So the solutions to the graph when  -x^2 - 6x - 8 equals 0 is -2 & -4.

Hope it helps (●'◡'●)

Answer:

-2 and -4

Step-by-step explanation:

if you'll notice the function goes through the x axis at -2 and -4

Answer:

It’s B I believe

Step-by-step explanation:

Answer:

The correct answer is A

Step-by-step explanation:

When 'x' is 5, the Algebraic  expression 3x - 4 evaluates to 11.

To find the algebraic expression for "4 less than the product of 3 and some number," let's break it down step by step.

First, let's define the unknown number as 'x.' Since the problem states "the product of 3 and some number," we can express this as 3 * x or simply 3x.

Next, we want to subtract 4 from this product. The phrase "4 less than" indicates subtraction, so we subtract 4 from 3x. This can be represented as 3x - 4.

In summary, the algebraic expression for "4 less than the product of 3 and some number" is 3x - 4, where 'x' represents the unknown number.

To calculate the value of this expression for a specific value of 'x,' you substitute that value into the expression and simplify. For example, if 'x' is 5, you would substitute 5 into the expression:

3(5) - 4

This simplifies to:

15 - 4 = 11

So, when 'x' is 5, the expression 3x - 4 evaluates to 11.

In general, the algebraic expression allows us to represent a mathematical relationship between quantities using symbols and operations. By substituting specific values into the expression, we can calculate the corresponding results.

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Note the complete question:

Algebraic expression for 4 less than the product of 3 and some number

What is the algebraic expression for "4 less than the product of 3 and some number?

Please help me understand the meaning of how to calculate.

Answer:

i think b

Step-by-step explanation:

Answer:

Linear function 2

Step-by-step explanation:

If Linear function 1 has an x-intercept of 4,0 and a y-intercept of 0,22

It's a negative equation, Its not increasing Its decreasing.

So it must be Linear function 2