31 cars are in a race. In how many different ways can cars finish in order in the top 4 positions?

Answer:

\(6(2 + p) + 5p = 89 \\ 12 + 6p + 5p = 89 \\ 12 + 11p = 89 \\ 11p = 89 - 12 \\ 11p = 77 \\ \frac{11p}{11} = \frac{77}{11} \\ \\ { \boxed{ \boxed{p = 7}}}\)

Answer:

x - intercept = - 1

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

x - 2y = 7 ( subtract x from both sides )

- 2y = - x + 7 ( divide through by - 2 )

y = \(\frac{1}{2}\) x + \(\frac{7}{2}\) ← in slope- intercept form

with slope m = \(\frac{1}{2}\)

given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{\frac{1}{2} }\) = - 2 , then

y = - 2x + c ← is the partial equation of the perpendicular line\to find c substitute (- 3, 4 ) into the partial equation

4 = 6 + c ⇒ c = 4 - 6 = - 2

y = - 2x - 2 ← equation of perpendicular line

to find the x- intercept let y = 0 into the equation and solve for x

- 2x - 2 = 0 ( add 2 to both sides )

- 2x = 2 ( divide both sides by - 2 )

x = - 1

the x- intercept of the perpendicular line is - 1 or (- 1, 0 )

Answer:

its not a. On some test it may be

Step-by-step explanation:

Bankruptcy make owning a car more expensive as It causes a loss of assets. Thus, option (A) is correct.

Bankruptcy refer to the situation in which individuals or other entities that are unable to pay their creditors back can seek partial or complete relief from their debts. Bankruptcy is typically imposed by a court order that is frequently requested by the debtor, and then legal process is undertaken.

In order to pay the expenses, the business owner has to sell their cars to decrease the amount of the debt. This kind of the situation arises at the time of the insolvency of the business and court also order starting the process of dissolution.

Therefore, it can be concluded that Since bankruptcy results in the loss of assets, having a car becomes more expensive. Hence,  option (A) is correct.

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Answer: f(n) = 2n - 2

Therefore, we can use this formula to find the value of f(n) for any positive integer n.

Step-by-step explanation: Using the given recursive formula:

f(1) = 0

f(n) = f(n-1) + 2

We can find the values of f(n) for different values of n:

f(1) = 0

f(2) = f(1) + 2 = 0 + 2 = 2

f(3) = f(2) + 2 = 2 + 2 = 4

f(4) = f(3) + 2 = 4 + 2 = 6

f(5) = f(4) + 2 = 6 + 2 = 8

And so on.

We can see that each term in the sequence is 2 more than the previous term. So, we can write the general formula for f(n) as:

f(n) = 2n - 2

Therefore, we can use this formula to find the value of f(n) for any positive integer n.

Answer:

\(4x^{6}2y^{-2}\)

Step-by-step explanation:

We can use a property I like to call SEi-F. (Subtract Exponents in a Fraction)

But first, there is an exponent outside of the parentheses in both places. We can use the Power of Parentheses to simplify and then use the SEi-F.

We will start with the x in the numerator.

3*4 = 12

Now for the y in the numerator.

4*4 = 16

Our new numerator is \(4(2x^{12}y^{16})\)

We do need to simplify the numerator one more time to get rid of the 4 outside the parentheses.

We will start with x's coefficient.

2*4 = 8

Now for y's coefficient.

1**4 = 4

*y seems to have no coefficient, but if so, it has a coefficient of 1. This applies to other variables.

Our final simplified numerator is \(8x^{12}4y^{16}\).

Repeat with the denominator.

Try it yourself!

Make sure that when you finish, you finish the fraction.

After completing the denominator, your completed fraction should be:

\(\frac{8x^{12}4y^{16}}{4x^{6}2y^{18}}\)

Now we can use the SEi-F to complete the problem.

Start with x.

8x - 4x = 4x

12 - 6 = 6

The first term is \(4x^{6}\).

Now for y.

4y - 2y = 2y

16 - 18 = -2

The second term is \(2y^{-2}\)

The complete, simplified equation is \(4x^{6}2y^{-2}\).

I could be wrong on the answer, but the work should be correct.

Hope this helps. Have a nice day. Oh, and one more thing. Surprised I'm not stealing points?

9514 1404 393

Answer:

  number of correct answers by the total number of questions

Step-by-step explanation:

The first step in the process is to express the score as a fraction. That has already been done here, but apparently, we're to say what that fraction is.

The required fraction that must be found as a first step is found by dividing the ...

  number of correct answers by the total number of questions

Answer:

 number of correct answers by the total number of questions

Step-by-step explanation:

source : m4thw4y

Answer:

Step-by-step explanation:

First Choice

Answer:

cold and hot Is the answer

A²+B²= C²

31²+ 21²= z²

961+441 = z²

1402= z²

z= 37.443290454

Answer:

None of the choices are correct

Stefofp-by-step explanation:

Simplify the following:

(-6 x^3 y^4 + 9 x^8 y^2)/(3 x y)

Factor 3 x^3 y^2 out of -6 x^3 y^4 + 9 x^8 y^2:

(3 x^3 y^2 (-2 y^2 + 3 x^5))/(3 x y)

(3 x^3 y^2 (-2 y^2 + 3 x^5))/(3 x y) = 3/3×(x^3 y^2 (-2 y^2 + 3 x^5))/(x y) = (x^3 y^2 (-2 y^2 + 3 x^5))/(x y):

(x^3 y^2 (-2 y^2 + 3 x^5))/(x y)

Combine powers. (x^3 y^2 (-2 y^2 + 3 x^5))/(x y) = x^(3 - 1) y^(2 - 1) (-2 y^2 + 3 x^5):

x^(3 - 1) y^(2 - 1) (-2 y^2 + 3 x^5)

3 - 1 = 2:

x^2 y^(2 - 1) (-2 y^2 + 3 x^5)

2 - 1 = 1:

Answer:  x^2 y (-2 y^2 + 3 x^5)

Answer:

Step-by-step explanation:

p^2-4=96 Add 4 to both sides

p^2=100 take squared root from both sides

p= squared root of 100=+ or-10

We are given the following expression:

We are asked to simplify the expression. To do that we will use the fact that "x" and "y" are factors in the numerator and the denominator. Therefore, we can cancel out the "x" and "y" from the expression.

To do that we will subtract the exponents of each variable

For "x" we have that the exponent on the numerator is 1 and in the denominator is 3 therefore, the new exponent must be 2:

In the case of "y", we have that the exponent in the numerator is 1 and the denominator is 5, therefore, the new exponent is 4:

Now, we simplify 15/3 since this is equal to 5;

And thus we get the simplified expression.

using SOH CAH TOA

Tan 85.144 =h/130

h=tan 85.144*130

h=1530.19 fr

Answer:

nice

Step-by-step explanation:

whats the rest of the problem or is it just that she rolled a dice

Answer:

31200=300.5%

Step-by-step explanation:

31200=3+1200

=31+1200

=(31×200200)+1200

=600200+1200=601200

We know that

601200

is the same as

601÷200

Then using

gives us

=3.005

Convert the decimal to a percent:

3.005×100

and rounding to a Max of 2 Decimal Places

=300.5%

Answer:

-5

Step-by-step explanation:

Answer:

-2/3

Step-by-step explanation:

14-10 = 4

-15--9 =   -6

4/-6= 2/-3

Answer: the other three angles are 83° each

Step-by-step explanation:

The Total of all the angles of a pentagon is 540° Subtract the 150 and 141.

540- 291 = 249. Divide by 3

249/3 = 83

The graph of the solution to the given inequality on the number line plotted is attached.

Inequalities are the mathematical expressions in which both sides are not equal.

In inequality, unlike in equations, we compare two values.

The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

The given inequality is q < 69.5​.

The result can be shown in multiple forms.

Inequality Form:q<69.5

Interval Notation:(−∞,69.5)

Therefore, the graph the solution to the given inequality on the number line plotted below.

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Answer:

Its either A or B and I'm pretty sure its B. I know its definitely not C or D

Step-by-step explanation:

Rounding the answer to two decimal places, the relative frequency of students with red hair among the sample population of students with gray eyes is approximately 0.63. Option D

To find the relative frequency of students with red hair among the sample population of students with gray eyes, we need to divide the number of students with gray eyes and red hair by the total number of students with gray eyes.

From the given table, we can see that there are 22 students with gray eyes and red hair.

The total number of students with gray eyes is the marginal total for gray eyes, which is 35.

To find the relative frequency, we divide the number of students with gray eyes and red hair by the total number of students with gray eyes:

Relative frequency = Number of students with gray eyes and red hair / Total number of students with gray eyes

Relative frequency = 22 / 35

Simplifying the fraction, we have:

Relative frequency = 0.6286

Rounding the answer to two decimal places, the relative frequency of students with red hair among the sample population of students with gray eyes is approximately 0.63.

Therefore, the correct answer is option OD) 0.63.

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Answer:

i think its b

Step-by-step explanation:

Answer:

Step-by-step explanation:

Using the formula for calculating the standard error of the mean to get the standard deviation. The standard error of the mean is expressed as;

SE = S/√n where;

S is the standard deviation

n is the sample size

Given SE = 25 months and n = 1, on substituting this parameters into the formula, we will have;

25 = S/√1

25 = S/1

cross multiply

S = 25*1

S = 25 months

Hence the standard deviation based on the sample is 25 months

Answer:

Last option:

\(\dfrac{4x^4y^2}{z}\)

Step-by-step explanation:

Original expression is

\(\dfrac{12x^6y^{-4}z^2}{3x^2y^{-6}z^3}\\\\\)

Let us eliminate the obvious wrong answers

\(\dfrac{12}{3} = 4\\\\\)

so the coefficient in the answer should be 4.

We can eliminate first and third choices

Now for each term with the same variable, compute the division
\(\dfrac{x^6}{x^2} = x^{6-2} = x^4\\\\\)

Second choice is out so the last choice is the correct one.

We can go further with the other terms

\(\dfrac{y^{-4}}{y^{-6}} = y^{-4 - (-6)} = y ^{-4+6} = y^2\)

\(\dfrac{z^2}{z^3} = z^{2-3} = z^{-1} = \dfrac{1}{z}\)

Multiplying all these individual terms gives
\(4 \cdot x^4 \cdot y^2 \cdot \dfrac{1}{z}\\\\= \dfrac{4x^4y^2}{z}\)

Answer:

4

Step-by-step explanation:

2/3÷1/6

Flip the 1/6 to make it a reciprocal and then multiply

2/3•6/1

simplify by crossing out

2•2 =4

Answer:

\(y=e^{-2x^2-3x+14}\)

Step-by-step explanation:

Determine the general solution

\(\frac{dy}{dx}+(4x+3)y=0,\: y(2)=1\\ \\\frac{dy}{dx}+4xy+3y=0\\ \\\frac{dy}{dx}=-4xy-3y\\ \\dy=(-4xy-3y)dx\\\\\frac{1}{y}dy=(-4x-3)dx\\ \\\int {\frac{1}{y} } \, dy=\int{(-4x-3)} \, dx\\ \\ ln(|y|)=-2x^2-3x+C\\\)

Solve for C given the initial condition y(2)=1

\(ln(|1|)=-2(2)^2-3(2)+C\\\\0=-2(4)-6+C\\\\0=-8-6+C\\\\0=-14+C\\\\14=C\)

Plug the value of C into the general solution equation

\(ln(|y|)=-2x^2-3x+14\\\\y=e^{-2x^2-3x+14}\)

-12v+6y+18

you multiply everything by -3, so -3×4v=-12v
-3×(-2y)=6y, since negative × negative=positive
-3×(-6)=18

i hope this helps :)

The percent of daily calories does one serving of walnuts provide is 9%.

This question is solved using proportions.

We have:

-----------------

Walnut:

Thus, the amount of calories of fat is:

\(A = 20 \times 9 = 180\)

-----------------

Percentage:

180 calories out of a daily diet of 2000 calories, so:

180*100%/2000 = 9%

The percent of daily calories does one serving of walnuts provide is 9%.

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Area and circumference of the circle are 78.5 m² and 31.4 m respectively.

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

Given that, a circle have a radius 5 m

Area of a circle = π × radius²

Circumference = 2π×radius

Area = 3.14 × 5² = 3.14 × 25 = 78.5 m²

Circumference = 3,14 × 2 × 5 = 31.4 m

Hence, area and circumference of the circle are 78.5 m² and 31.4 m respectively.

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