Please help with problems 19 and 20 I'm stuck on how to solve these.
And show work please
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Answer:

A)

The simplest way to solve A is by checking 1st digit one-by-one.

selecting 1 as 1st digit, we have 2 ways

1324 and 1423

selecting 2 as 1st digit, we have 3 ways

2143, 2314, and 2413

selecting 3 as 1st digit, we have 3 ways

3142, 3241, and 3412

selecting 4 as 1st digit, we have 2 ways

4132 and 4231

=> 2 +3 + 3 + 2 = 10 ways in total.

B)

Use the same strategy as A)

selecting 1st digit that is greater than 6, there are 3 digits: {9, 8, 7}

selecting 9 as 1st digit => 967, 968

selecting 8 as 1st digit => 867, 869

selecting 7 as 1st digit => 768, 769

=> 3 x 2 = 6 ways

selecting 1st digit that is smaller than 6, there are 5 digits: {5, 4, 3, 2, 1}

selecting 5 as 1st digit => 565, 564, 563, 562, 561, 560

similarly, selecting 4, 3, 2, 1, there are 6 ways to select that last digit

=> 5 x 6 = 30 ways

=> 30 + 6 = 36 ways in total

C)

a 7-digit snakelike number starts with digit 9 (the largest digit)

=> 2nd digit is smaller than 9

=> 3rd digit is larger than 2nd digit

=> 4th digit is smaller than 3rd digit

=> 5th digit is larger than 4th digit

=> 6th digit is smaller than 5th digit

=> 7th digit is larger than 6th digit (this is impossible because 0 is smallest digit)

Answer:

we cant see the full picture :(

After approximately 12.13 years, the revenue of this firm is going to drop to $1 million.

The value of shares t years after their floatation on the stock market, is modelled by V = 10e0.09t

The initial value of shares = V when t = 0. So, putting t = 0 in V = 10e0.09t,

we get

V = 10e0.09 × 0= 10e0 = 10 × 1 = 10 million dollars.

The values after 5 years, 10 years and 12 years, respectively are:

For t = 5, V = 10e0.09 × 5 ≈ 19.65 million dollarsFor t = 10, V = 10e0.09 × 10 ≈ 38.43 million dollarsFor t = 12, V = 10e0.09 × 12 ≈ 47.43 million dollars

The total revenue (TR) in t years' time is modelled as TR = 10e−0.19t (in million dollars)

The current revenue is the total revenue when t = 0.

So, putting t = 0 in TR = 10e−0.19t, we get

TR = 10e−0.19 × 0= 10e0= 10 million dollars

Revenue in 5 years' time is TR when t = 5.

So, putting t = 5 in TR = 10e−0.19t, we get

TR = 10e−0.19 × 5≈ 4.35 million dollars

To find when the revenue of this firm is going to drop to $1 million, we need to solve the equation TR = 1.

Substituting TR = 1 in TR = 10e−0.19t, we get1 = 10e−0.19t⟹ e−0.19t= 0.1

Taking natural logarithm on both sides, we get−0.19t = ln 0.1 = −2.303

Therefore, t = 2.303 ÷ 0.19 ≈ 12.13 years.

So, after approximately 12.13 years, the revenue of this firm is going to drop to $1 million.

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Answer:

  see attached

Step-by-step explanation:

We followed instructions to create the attached graph of the two triangles.

Each mid-segment is parallel to the side of the triangle whose midpoint is the vertex opposite that segment. So, we used a graphing tool to draw, for example, a line parallel to PQ through point R. The vertices of the original triangle are at the intersection points of these lines (or 1 mid-segment length from the midpoint).

__

Analytically, we can make use of the fact that each mid-segment is effectively a diagonal of a parallelogram. For example, PQ is a diagonal of APRQ. The other diagonal is AR. The two diagonals cross at the midpoint of each. This means we can find point A using the midpoint relation:

  midpoint AR = midpoint PQ

  (A +R)/2 = (P +Q)/2 . . . use the midpoint formula

  A +R = P +Q . . . . . . . . multiply by 2

  A = P +Q -R . . . . . . . . subtract R to get an expression for A

  A = (2, 1) +(4, 5) -(7, 4) = (2+4-7, 1+5-4) = (-1, 2)

The other vertices of ΔABC can be found in similar fashion:

  B = R +P -Q = (7, 4) +(2, 1) -(4, 5) = (7+2-4, 4+1-5) = (5, 0)

  C = Q +R -P = (4, 5) +(7, 4) -(2, 1) = (4+7-2, 5+4-1) = (9, 8)

So, the original triangle's vertices are ...

  A(-1, 2), B(5, 0), C(9, 8)

Expression is a combination of numbers, variables and operators. x=14 is the solution of the expression x/2 + 4 = 11 .

Expression is a combination of numbers, variables and operators.

The given expression is x/2 + 4 = 11

x by two plus four equal to eleven.

here x is the variable

We have to keep variables on one side and numbers on other side.

Let us subtract 4 on both sides

x/2+4-4=11-4

x/2=7

Multiply two on both the sides

2(x/2)=7×2

x=14.

Among the solution -16 or -4 or 20 or 10. we dont have any value which is 14. Hence the solution is none of them.

Therefore the value of x is 14.

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Answer:

Step-by-step explanation:

AB

away fram house

2km 4mins

rate: 1km\minute

BC

away from house

5km 6mins

rate:0.83km\minute

CD

niether

0km 9mins

no rate

DE

toward house

6km 15mins

0.4km\minute

The company should use a warranty period that is equal to 67,467.5 miles.

To determine the warranty period, we need to find the value of the tire life that corresponds to 95% of the tires. We can use the standard normal distribution table to find the value of the z-score that corresponds to the 95th percentile. This value is approximately 1.645.

Now, we can use the formula for the normal distribution to find the tire life value that corresponds to the z-score of 1.645. This formula is:

X = μ + zσ

Where X is the tire life value, μ is the mean of the distribution (65,000 miles), z is the z-score (1.645), and σ is the standard deviation of the distribution (1500 miles).

Plugging in the values, we get:

X = 65,000 + 1.645(1500)

X = 67,467.5

This means that 95% of the tires will have a life of at least 67,467.5 miles.

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Sarah use for each cup of water is 3/8

Now, According to the question:

What is a fraction in math?

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.

She uses 1/4 cup of grape juice for every 2/3 cup of water.

Let Sarah use for each cup of water be x.

To construct table of grape juice and cup of water.

Grape juice                                     Cup of water

   1/4                                                          2/3

     x                                                             1

Now, Solving the fractions

\(\frac{1}{4}/x\)     =    \(\frac{2}{3}/1\)

8x =  3

x = 3/8 cup

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Answer:

Simplifying

8m + -14 = 3m + 46

Reorder the terms:

-14 + 8m = 3m + 46

Reorder the terms:

-14 + 8m = 46 + 3m

Solving

-14 + 8m = 46 + 3m

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-3m' to each side of the equation.

-14 + 8m + -3m = 46 + 3m + -3m

Combine like terms: 8m + -3m = 5m

-14 + 5m = 46 + 3m + -3m

Combine like terms: 3m + -3m = 0

-14 + 5m = 46 + 0

-14 + 5m = 46

Add '14' to each side of the equation.

-14 + 14 + 5m = 46 + 14

Combine like terms: -14 + 14 = 0

0 + 5m = 46 + 14

5m = 46 + 14

Combine like terms: 46 + 14 = 60

5m = 60

Divide each side by '5'.

m = 12

Simplifying

m = 12

Answer:

m = 12

Step-by-step explanation:

We want to isolate "m" on one side of equation to see what it is equal to.

Step 1.

Add 14 to both sides of the equation to get 8m = 3m + 60

Step 2.

Subtract 3m from both sides to get 5m = 60

Step 3.

Divide both sides by 5 to get m = 12.

Answer:

period=(2π-1)/4

Step-by-step explanation:

4x+1=2π

4x=2π-1

x=(2π-1)/4

Answer:

Period is \(\frac{\pi}{2}\)

Step-by-step explanation:

For the function \(y=acos(bx-c)+d\), the period is \(\frac{2\pi}{|b|}\).

Therefore, the period of the function is \(\frac{2\pi}{|b|}=\frac{2\pi}{|4|}=\frac{2\pi}{4}=\frac{\pi}{2}\).

What this means is that the function's wave cycle will repeat every \(\frac{\pi}{2}\) units.

The electric flux through the sides of the tetrahedron is 0 N⋅m²/C.

When determining the electric flux through a closed surface, such as the sides of a tetrahedron, Gauss's law is commonly used. Gauss's law states that the electric flux through a closed surface is directly proportional to the net charge enclosed by that surface.

In this case, the tetrahedron has a total charge of -4nC inside it and -2nC outside it. Since the tetrahedron is a closed surface, the net charge enclosed is the sum of the charges inside and outside. Therefore, the net charge enclosed is -4nC + (-2nC) = -6nC.

According to Gauss's law, the electric flux (Φ) is given by Φ = q_enclosed / ε₀, where q_enclosed is the net charge enclosed and ε₀ is the vacuum permittivity.

Substituting the values, we have Φ = (-6nC) / ε₀. Since the electric flux is given in N⋅m²/C units, we need to express the charge in coulombs (C). Therefore, we convert -6nC to -6 × 10^(-9) C.

Finally, since the electric flux is directly proportional to the charge enclosed, and the enclosed charge is negative (-6 × 10^(-9) C), the electric flux through the sides of the tetrahedron is 0 N⋅m²/C.

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Answer:

The percentage that of people who gave the movie a rating between 6.8 and 8.8

P(6.8≤X≤8.8)  = 83.9≅ 84 percentage

Step-by-step explanation:

Step(i):-

Mean of the Population = 8.3 points

Standard deviation of the Population = 0.5 points

Let 'X' be the random variable in normal distribution

Let X = 6.8

\(Z = \frac{x-mean}{S.D} = \frac{6.8-8.3}{0.5} = -3\)

Let X = 8.8

\(Z = \frac{x-mean}{S.D} = \frac{8.8-8.3}{0.5} = 1\)

The probability that of people who gave the movie a rating between 6.8 and 8.8

P(6.8≤X≤8.8) = P(-3≤Z≤1)

                     = P(Z≤1)- P(Z≤-3)

                    =  0.5 + A(1) - ( 0.5 -A(-3))

                   = A(1) + A(3)       (∵A(-3)=A(3)

                  =  0.3413 +0.4986    (∵ From Normal table)

                 = 0.8399

Conclusion:-

The percentage that of people who gave the movie a rating between 6.8 and 8.8

P(6.8≤X≤8.8)  = 83.9≅ 84 percentage

Answer:

Step-by-step explanation:

\(a_{n+1}=a_n\cdot r\)

So, if the common ratio is 5 the next term is always 5 times the previous term.

Answer:

Step-by-step explanation:

5x = 3x+18

2x = 18

x = 9°

2y = 10

y = 5

As a result of Charles investing both locally and internationally, C.  If one market fails to perform, the other market may continue to provide returns

When Charles invested in both local and international stock, he engaged in a process known as diversification.

Diversification reduces risk because there is a chance that when some stock are not performing well, others will be because they are not affected by the same things.

Charles's stock will not be affected by the same things such that when the domestic stock isn't doing well, the international stocks might be doing well.

In conclusion, option C is correct.

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Answer:

Select the correct answer.

Charles is planning to buy both domestic and international stock to add to his portfolio. What benefit will he gain from including both kinds of investments?

A.

His investments in the international market will be affected if his domestic stocks don’t perform well.

B.

High exchange rates in the international market will boost his domestic investments.

C.

If one market fails to perform, the other market may continue to provide returns.

D.

The domestic stocks will make the currency exchange rate among international stocks easier to manage.

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

If we are finding the long angled side (the hypotenuse), we must keep in mind the Pythagorean theorem. This states that in order to find the answer, we must follow: A squared + B squared = C squared. A and B are known as the legs and we use these for A and B. After squaring both 15 and 8 we get 225 + 64= 289. Now that we have our answer of 289, we can square this to find our hypotenuse which is 17. To find the square root, you multiply different numbers by themselves until you reach your answer. 17 x 17 = 289 so the hypotenuse is 17 centimeters long. I hope this helps! :)

Answer:

The area of the triangle is 60.

Answer: 48

Step-by-step explanation:

We need to find the least common multiple of 12 and 16.

Finding the prime factorizations of 12 and 16,

\(12=2^{2} \times 3\\\\16=2^{4}\)

Thus, the least common multiple is \(2^{4} \times 3=\boxed{48}\)

Answer:

a₁ = 16

Step-by-step explanation:

The sum to infinity of a geometric series is

S ∞ = \(\frac{a_{1} }{1-r}\)

where a₁ is the first term and r the common ratio , then

\(\frac{a_{1} }{1-0.2}\) = 20

\(\frac{a_{1} }{0.8}\) = 20 ( multiply both sides by 0.8 to clear the fraction )

a₁ = 0.8 × 20 = 16

Answer:

1/3

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

Answer:

.15¢

Step-by-step explanation:

1.20$ total divided by 8 and its .15¢

Answer:

x = 10

Step-by-step explanation:

Original Equation:

15 = 3x - 15

Add 15 to both sides

30 = 3x

Divide both sides by 3

10 = x

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x = 10

All you have to do is add 15 to both sides, and you have

30 =3x

and divide by 3

you get

10 = x

Answer:

\(f'(x)= \frac{13}{(2x+3)^2}\\\)

Step-by-step explanation:

\(f(x)= \frac{3x-2}{2x+3} \\\)

\(f'(x)=\frac{dy}{dx} = \frac{d}{dx}(\frac{3x-2}{2x+3})\\ f'(x)= \frac{(2x+3)\frac{d}{dx}(3x-2)-(3x-2)\frac{d}{dx}(2x+3) }{(2x+3)^{2} } \\f'(x)= \frac{(2x+3)(3)-(3x-2)(2)}{(2x+3)^{2} } \\\)

\(f'(x)= \frac{6x+9-6x+4}{(2x+3)^{2} }\\ f'(x)= \frac{13}{(2x+3)^2}\\\)

The Risk Matrix lists the relative probability of a risk occurring and the relative impact of the risk occurring.

The Risk Matrix is a tool commonly used in risk management to assess and prioritize risks based on their likelihood of occurrence and potential impact.

It typically consists of a two-dimensional grid, with one axis representing the likelihood of the risk occurring, and the other axis representing the potential impact of the risk.

Each cell in the grid represents a specific level of risk, and is typically color-coded or labeled to indicate the severity of the risk. By using a Risk Matrix.

Organizations can prioritize their risk management efforts by focusing on the risks that are most likely to occur and have the greatest potential impact.

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To calculate the average amount of time a customer spends in the process, we can use Little's Law which states that the average number of customers in the system (L) is equal to the average arrival rate (λ) multiplied by the average time spent in the system (W).L = λ*W

We know that the arrival rate is 250 customers during the 2-hour busy lunch period, which is 2/60*250 = 8.33 customers per minute. We also know that the average number of customers in the process at any point in time is 14. So, the average time spent in the process can be calculated as follows:14 = 8.33*W => W = 14/8.33 ≈ 1.68 minutes

Therefore, the average amount of time that a customer spends in process is approximately 1.68 minutes.

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Answer:55 ft

Step-by-step explanation: 5.5/h=4/40. You cross multiply and you get the answer above.

Answer:

  7

Step-by-step explanation:

You want the common difference of the arithmetic sequence that starts ...

  15, 22, 29, ...

The common difference is the difference between a term and the one before. It is "common" because the difference is the same for all successive term pairs.

  22 -15 = 7

  29 -22 = 7

The common difference is 7.

<95141404393>

To attain your target of $15,000 in five years if you can invest in an account that pays 5.25 percent compounded quarterly, you will have to invest $11,557 today.

Since interest is compounded quarterly, we need to calculate the quarterly interest rate and the quarterly time period. The quarterly interest rate will be 1/4th of the annual interest rate and the quarterly time period will be 1/4th of the time period.

Quarterly interest rate, r = 5.25/4 = 1.3125% = 0.013125

Quarterly time period, n = 4*5 = 20

A = P(1 + r/n)^(nt)

15,000 = x(1 + 0.013125)²⁰

By using the above formula, we get:

x = 11,556.96 ≈ $11,557

Therefore, the amount you will have to invest today to attain your target of $15,000 in five years is $11,557.

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