\( {x}^{2} - 4x = 21\)
what are the x intercepts?
​

area of ∆PQR/ area of ∆WUV = 1/9

The number of ways in which 6 policemen can be assigned to 12 coaches of a passenger train if he must ride in a different coach is 665,280.

The number of ways in which 6 policemen can be assigned to 12 coaches of a passenger train if they must ride in a different coach is given by :

12 × 11 × 10 × 9 × 8 × 7

This is because the first policeman can be assigned to any of the 12 coaches. Once he has been assigned to a coach, the second policeman can be assigned to any of the remaining 11 coaches.

Continuing in this way, the number of ways in which the policemen can be assigned to the coaches is:

12 × 11 × 10 × 9 × 8 × 7

Therefore, the number of ways in which 6 policemen can be assigned to 12 coaches of a passenger train if he must ride in a different coach is 665,280.

Learn more about passenger train -

brainly.com/question/29341186

#SPJ11

If a=4, b= 7, and B= 75°, the area of triangle ABC is approximately 13.476 square units.

To find the area of triangle ABC given the values of a, b, and B, we can use the formula:

Area = (1/2) * a * b * sin(B)

where a and b are the lengths of two sides of the triangle and B is the angle between them, measured in degrees.

Substituting the given values, we get:

Area = (1/2) * 4 * 7 * sin(75°)

Using a calculator to evaluate the sine of 75°, we get:

Area = (1/2) * 4 * 7 * 0.96593

Area ≈ 13.476 square units

The formula for the area of a triangle involves using the length of two sides and the angle between them.

To learn more about area click on,

https://brainly.com/question/29648395

#SPJ4

The value of x on the closed interval [ -2,2 ] that g has an absolute maximum is 0

Given the function \(g (x) = 3x^4 - 8x^3\)

The function is at a maximum at g'(x) = 0

Differentiating the function given:

\(g'(x)= 12x^3-24x^2\\0= 12x^3-24x^2\\ 12x^3-24x^2=0\\12x^2(x-2)=0\\12x^2=0 \ and \ x - 2 = 0\\x = 0 \ and\ 2 \\)

Substitute x = 0 and x = 2 into the function;

g(0) = 3(0)^3 - 8(0)^3

g(0) = 0

Since the range of the function is least at x = 0, hence the value of x on the closed interval [ -2,2 ] that g has an absolute maximum is 0

Learn more function here: https://brainly.com/question/10439235

Faces = 6

Edges = 10

Vertices = 6

A face is any of the flat surfaces of a solid object, meaning that the pentagonal pyramid has got 6 faces in total; 5 triangles, and 1 pentagon (5+1=6)

An edge is a line segment where two faces meet, and they also join each vertex with another. So if we look at the base of the pentagonal pyramid (which is a pentagon) we can see that it has got 5 edges, and then, when we look at the edges that connect the triangles with eachother, there are 5 more edges, so 5+5=10.

A vertex is where two or more line segments (edges) meet. The base (pentagon) has 5 vertices, and at the top, where the 5 triangles' edges connect, there is another vertex (just 1). So 5+1=6.

Answer:

1.) 2 3 4 6 8 9 12

Step-by-step explanation:

my answer was deleted cause it somehow violated Brainly's guidelines

809,304 people live in Charlotte, rounded to the nearest person.

To calculate the approximate population of Charlotte, you can use the given information:

Population density = 2,720 people per square mile
Area of Charlotte = 297.7 square miles

To find the total population, multiply the population density by the area:

Total population = Population density × Area
Total population = 2,720 people/sq mile × 297.7 sq miles

Total population ≈ 809,304 people

So, approximately 809,304 people live in Charlotte, rounded to the nearest person.

To learn more about density, refer below:

https://brainly.com/question/29775886

#SPJ11

A complete list of the numbers in the pattern: 3, 6, 10, 14, 18, etc.

The number pattern you described is as follows:

3,

(2*5)-4 = 6,

(2*7)-4 = 10,

(2*9)-4 = 14,

(2*11)-4 = 18,

The first number is 3, and then each subsequent number is found by multiplying the previous odd number by 2 and then subtracting 4.

For example, the second number is found by multiplying the first number by 2 and then subtracting 4, which gives us 6. The third number is found by multiplying the second number by 2 and then subtracting 4, which gives us 10.

Learn more about numbers on

https://brainly.com/question/25734188

#SPJ1

You would have to pay 67% of the original price to buy the coat and  Juan paid 1. 08% of the purchase price as the total bill.

percentage, a relative value indicating hundredth parts of any quantity.

If the coat is on sale for 33% off the original price, then the price you would have to pay is equal to 100% - 33% = 67% of the original price.

So, you would have to pay 67% of the original price to buy the coat.

If Juan paid 8% sales tax on his purchase, then the total bill would be the original price plus 8% of the original price.

Let's say the purchase price of the video game is x.

Then, the sales tax would be 8% of x, which is 0.08x.

So, the total bill that Juan paid is x + 0.08x = 1.08x.

Therefore, Juan paid 1. 08% of the purchase price as the total bill.

To learn more on Percentage click:

https://brainly.com/question/28269290

#SPJ1

Answer:

hypotenuse = 14.8

Step-by-step explanation:

Pythagorean Theorem: \(a^2 + b^2 = c^2\)

\(3.2^2 + 14.4^2 = c^2\\10.24 + 207.36 = c^2\\\sqrt{217.6} = c\\c = 14.751...\\c = 14.8\)

A straight line PPF indicates constant opportunity costs in production is TRUE.

The Production-Possibility Frontier (PPF) is a graphical representation of the maximum amount of two goods that can be produced given a certain number of resources.

If the PPF is a straight line, then the opportunity cost of producing an additional unit of one good is the same regardless of how much of that good is already being produced. This means that the resources used to produce the two goods are perfectly substitutable and there are no increasing opportunity costs.

However, if the PPF is a curved line, then the opportunity cost of producing an additional unit of one good increase as more of that good is produced. This is because the resources used to produce the two goods are not perfectly substitutable and there are increasing opportunity costs.

Learn more about PPF and Opportunity Cost here: brainly.com/question/28433459

#SPJ11

An example of a macroeconomic question is  "What would be the likely impact of an increase in business taxes on the overall level of inflation in the country?

It aims to provide answers to issues like "What should the inflation rate be?" and "What spurs economic growth?" Macroeconomics studies how variations in unemployment, national income, growth rates, and price levels affect broad-scale economic phenomena like the gross domestic product (GDP).

Macroeconomics is the study of how economies function, including changes in the balance of payments, inflation, interest and foreign exchange rates, and economic production.

Therefore, option A is correct.

Learn more about macroeconomic at:

https://brainly.com/question/3558688

#SPJ1

Answer:

500

Step-by-step explanation:

multiply 100 by 5

Given that `f(x, y) = tan¯ ¹(²) 1`. Now, we will calculate the first and second partial derivatives of the given function. Partial derivative of `f` with respect to `x` is given by:`∂f/∂x = (∂/∂x) [tan¯ ¹(²) 1]`Since `tan¯ ¹` is a function of `u = 2x` and `v = y`, apply chain rule:`∂f/∂x = [(1/1+u²)*(∂u/∂x)]|u=2x, v=y`Differentiating `u` with respect to `x` yields:`∂f/∂x = [(1/1+u²)*(2)]|u=2x, v=y`Substituting `u=2x, v=y` and `2 = 1+1`:`∂f/∂x = 2/2² = 1/2`Hence, `∂f/∂x = 1/2`.Partial derivative of `f` with respect to `y` is given by:`∂f/∂y = (∂/∂y) [tan¯ ¹(²) 1]`Since `tan¯ ¹` is a function of `u = 2x` and `v = y`, apply chain rule:`∂f/∂y = [(1/1+u²)*(∂v/∂y)]|u=2x, v=y`Differentiating `v`

with respect to `y` yields:`∂f/∂y = [(1/1+u²)*(1)]|u=2x, v=y`Substituting `u=2x, v=y` and `2 = 1+1`:`∂f/∂y = 2/2² = 1/2`Hence, `∂f/∂y = 1/2`.Now, we will calculate the second partial derivatives of the given function.Partial derivative of `f` with respect to `x` twice:`∂²f/∂x² = (∂/∂x) [(∂f/∂x)]`Differentiating `∂f/∂x` with respect to `x` yields:`∂²f/∂x² = (∂/∂x) [(1/2)]`Hence, `∂²f/∂x² = 0`.Partial derivative of `f` with respect to `y` twice:`∂²f/∂y² = (∂/∂y) [(∂f/∂y)]`Differentiating `∂f/∂y` with respect to `y` yields:`∂²f/∂y² = (∂/∂y) [(1/2)]`Hence, `∂²f/∂y² = 0`.Partial derivative of `f` with respect to `x` and `y`:`∂²f/∂y∂x = (∂/∂y) [(∂f/∂x)]`Differentiating `∂f/∂x` with respect to `y` yields:`∂²f/∂y∂x = (∂/∂y) [(1/2)]`Hence, `∂²f/∂y∂x = 0`.Therefore, the first partial derivatives of f(x, y) = tan¯ ¹(²) 1 is `∂f/∂x = 1/2` and `∂f/∂y = 1/2`. The second partial derivatives of the given function is `∂²f/∂x² = 0`, `∂²f/∂y² = 0` and `∂²f/∂y∂x = 0`.

To know more about second partial derivatives  visit :-

https://brainly.com/question/31386850

#SPJ11

The given data can be used to test the hypothesis that the proportion of preterm births among twins has increased from 1990 to 2000 and the conclusion is that the proportion of preterm births among twins has increased from 1990 to 2000.

Using a two-proportion z-test, with the null hypothesis that the proportions are equal, we find that the test statistic is approximately 1.89, with a p-value of 0.029. This suggests that there is evidence to reject the null hypothesis at the 5% significance level, and conclude that the proportion of preterm births among twins has increased from 1990 to 2000.

However, it's important to note that this conclusion is based on the assumption that the two samples are independent and representative of the population of interest. Other factors, such as changes in the population or hospital policies, may have also contributed to the observed increase in preterm births among twins.

To know more on two-proportion z-test

https://brainly.com/question/30762753

#SPJ4

Answer: No, at least one segment length is not preserved, making this a nonrigid transformation.

Step-by-step explanation: A rigid transformation implies that both the shape and size are not changed. The second answer is right because the length of segment JK (2 units) is not preserved when mapped onto J'K' (5 units).

Answer:

156

Step-by-step explanation:

Answer:

answer is option D . 2n - 1

Answer:

its D because one less than means - and twice a number is 2n

example : four more than, twice a number is 2x+4

Answer:

The prove is explained below:

Step-by-step explanation:

The computation is given below:

Here we needed two equations

Let us assume x = 0.555 --------------- (1)

Now if multiplied it by 10 to the both sides

So, it would be

10x = 5.555............(2)

Now deduct equation 1 from equation 2 in order to remove the recurring decimals  

(10x - x) = (5.5555 - 0.5555 )

9x = 5 (divided the both sides by 9 )

So x = 5 by 9

Answer:

rational

Step-by-step explanation:

The decimal 0.25 is a rational number. It represents the fraction, or ratio, 25/100. Both 25 and 100 are integers.

Answer:

Rational

Step-by-step explanation:

0.25 is a decimal that can be converted into a fraction, fractions and decimals are considered a rational number because it is NOT a whole number

Given:

There are given the two numbers 36 and 487.

Explanation;

According to the question:

We need to find the quotient and remainder. when we divide 487 by 36.

So,

From the concept of quotient:

The quotient is defined for the final results when we divide one number from another number.

Then,

Then,

In the above expression:

Final answer:

Hence, the values of quotient and remainder is shown below:

Answer:

Step-by-step explanation:

P(green) is asking what are the chances that if your stuck your hand into the bag and grabbed a marble that it would be green. There are 3 green, 2 blue, 1 red, and 1 white marble for a total of 7 marbles. If you pull out a marble without looking you have 3 chances of 7 that it will be green. So

10. 3/7 or 3:7

Do we even have any yellow marbles? Not that I can see, so if there isn't a yellow to pull out, your chances of pulling one out is 0. So

11. 0/7 or 0

Since there are 3 green and 1 red, which is a total of 4 marbles, we have 4 out of 7 chances that the marble we pull is red or green. So

12. 4/7 or 4:7

Answer: x = -6

Step-by-step explanation:

Since 2 angles have to equal 180, you add both of the angles you see and figure out what that answer is

101+91=192

192 - x - x

192 - 6 - 6 = 180

Answer: x=-6

Step-by-step explanation:

They are supplementary angles so both measures = 180. So x+91+x+101=180. 2x+192=180. 2x=-12. X=-6

Answer:

y=-3x+8

Step-by-step explanation:

if u want them to be parallel make the slope the same

(in this case, -3x)

and the y-int at the end is +8

Answer:

11

Step-by-step explanation:

|a−b| − |c+d|

Let = a=−5; b=4; c=1; d=−3

|-5−4| − |1+-3|

|-9| − |-2|

Absolute values means take the non-negative value

9 + 2

11

Answer:

7

Step-by-step explanation:

| a - b | - | c + d |

Plug in the values for the variables.

| -5 - 4 | - | 1 + -3 |

Evaluate.

| - 9 | - | -2 |

Apply rule : | -a | = a

9 - 2

Subtract the numbers.

= 7

Answer:

Moore's Law states that the number of transistors on a microchip will double approximately every two years. So, if a microchip in a given year could hold 922,200 transistors, 19 years later, it could hold approximately 922,200 * 2^(19/2) = 922,200 * 2^9.5 = 922,200 * 15,564,224 = 14,225,067,008,000 transistors.

we get that the nth term of the arithmetic sequence is given by aₙ = 28 - 2 n.

We are given an arithmetic sequence:

26, 24 , 22 ....

We need to find the nth term of this sequence (aₙ)

We will first find the common difference between the terms:

Common difference = d = 24 - 26 = - 2

also, we know that initial term = a = 26.

We know the formula for aₙ is given by:

aₙ = a + ( n - 1 ) d

Substituting the values, we get that:

aₙ = 26 + ( n - 1 ) ( - 2 )

aₙ = 26 - 2 n + 2

aₙ = 28 - 2 n

Therefore, we get that the nth term of the arithmetic sequence is given by aₙ = 28 - 2 n.

Learn more about arithmetic sequence here:

https://brainly.com/question/6561461

#SPJ9

Answer:

Your answer is -29

Step-by-step explanation:

Hope this helps : )