Write the inverse variation function given that y varies inversely with x, and y = 0.5 when x = 24.

\(-21x^{2}-588\)

let me know if anything is unclear, I'm happy to help!

Answer: (b)

Step-by-step explanation:

Given

The letter "BHUTAN" has to be arranged

For filing the first place of 6 letter word, we have 6 choices

Similarly for filling the second place of the word, we have 5 choices as 1 letter is already filled.

In this way, the remaining places can be filled in 4, 3, 2, and 1 way

On combining the above, 6 places can be filled in  

\(\Rightarrow 6\times 5\times 4\times 3\times 2\times 1=6!\\\Rightarrow 720\ \text{ways}\)

Thus, option (b) is correct.

The different sums are possible are 18.

As, the number of different sums possible is given by the equation:

Number of different sums = n x m

In other words, we multiply the number of outcomes for the first spinner by the number of outcomes for the second spinner to get the total number of unique sums.

So, the different sums are possible

= 2 x 3 x 3

= 18

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500ppm = 0.05%

Now, express the percentage as a fraction:

0.05/100 = 1/2000

Therefore:

The turning points of the function y = x³ - 3x² - 9x + 4 are (3, -23) and (-1, 9).

To determine the turning points of the given function y = x³ - 3x² - 9x + 4, we need to find the critical points where the derivative of the function is equal to zero.

1. Find the derivative of the function:

  y' = 3x² - 6x - 9

2. Set the derivative equal to zero and solve for x:

  3x² - 6x - 9 = 0

3. Factorize the quadratic equation:

  3(x² - 2x - 3) = 0

4. Solve the quadratic equation by factoring or using the quadratic formula:

  (x - 3)(x + 1) = 0

  This gives us two possible values for x: x = 3 and x = -1.

5. Substitute these critical points back into the original function to find the corresponding y-values:

  For x = 3:

  y = (3)³ - 3(3)² - 9(3) + 4

    = 27 - 27 - 27 + 4

    = -23

  For x = -1:

  y = (-1)³ - 3(-1)² - 9(-1) + 4

    = -1 - 3 + 9 + 4

    = 9

6. Therefore, the turning points are (3, -23) and (-1, 9).

Note: It appears that there was a typo in the original equation, where the term "-9x" should have been "-3x²". The above solution assumes the corrected equation.

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The maximum amount you can finance is $896.

We are given that;

The monthly gross income = $3,200

Now,

28% of your gross monthly income on your mortgage, including taxes and insurance

The percentage = 28%

3200* 28/100

=32*28

=896

Therefore, by percentage the answer will be $896.

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The expected number of investigators who will report that 3, 4, or 5 people are consumers of rice is 57 investigators.

The binomial distribution B(n, p) describes the behavior of a count X of successes in n independent trials, each with its own boolean-valued outcome: success (with probability p) or failure (with probability q = 1-p).

We want to find the probability that an investigator reports 3, 4, or 5 people are consumers of rice. The probability P(X=k) for a binomial distribution is given by the formula:

P(X=k) = C(n, k) * p^k * q^(n-k)

So we want to find P(X=3) + P(X=4) + P(X=5) :

P(X=3) = C(10, 3) * (0.5)^3 * (0.5)^(10-3)

= 0.117

P(X=4) = C(10, 4) * (0.5)^4 * (0.5)^(10-4)

= 0.205

P(X=5) = C(10, 5) * (0.5)^5 * (0.5)^(10-5)

= 0.246

The expected number of investigators who will report three or less of the people interviewed consumed is :

= P(X=3) + P(X=4) + P(X=5)

= 0.117 + 0.205 + 0.246

= 0.568

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Full question is:

Suppose that half the population of a town are consumers of rice. Each of 100 investigators interviews 10 individualas to see wheather they are consumers of rice. How many investigators do you expert to report that three or more but less than six people are consumers of rice?

Answer:

=1/15

Step-by-step explanation:

Sarah spends reading 30 min + \(0.05 min^{2}\).

An expression or mathematical expression is a finite collection of symbols that is well-formed according to context-dependent norms. To assist identify the sequence of operations and other features of logical syntax, mathematical symbols can denote numbers (constants), variables, operations, functions, brackets, punctuation, and grouping.

However, in modern mathematics, and particularly in computer algebra, formulae are considered expressions that may be evaluated as true or false based on the values assigned to the variables in the expressions.

The problem is in a mathematical expression.

30 min+3s min did Sarah spend reading

Convert s to min

.30min+3s min× 1min/60s

Cancel the common units and simplify.

Cross-cancel units.

30 min + \(0.05 min^{2}\)

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Answer:

circle

Step-by-step explanation:

Answer:

There is a probability of 86.6% that the sample mean falls within 0.03 percent of the raw purity mean.

Step-by-step explanation:

We have a population standard deviation of σ ≈ 0.1.

We have a sample of size n=25.

Then, we have a sampling distribution, which has a standard deviation for the sample mean that is:

\(\sigma_s=\dfrac{\sigma}{\sqrt{n}}=\dfrac{0.1}{\sqrt{25}}=\dfrac{0.1}{5}=0.02\)

Now, we can calculate a z-score for a deviation of 0.03 percent from the mean as:

\(z=\dfrac{X-\mu}{\sigma}=\dfrac{0.03}{0.02}=\dfrac{0.03}{0.02}=1.5\)

Note: we considered that the margin is ±0.03.

Then, the probability is:

\(P(|X-\mu|<0.03\%)=P(|z|<1.5)=0.866\)

The coordinates of midpoint of line segment with given endpoints (2, -1) and (-6, 0)  are ( -2 , -1/2 ) .

Mid - Point of a line segment : It is a point which divides a line segment into 2 equal halves .

Mid-Point Formula

M = ( \(x_{A}\) + \(x_{B}\) )/2 , ( \(y_{A}\) + \(y_{B}\) )/2

where   x - coordinate of mid - point =  ( \(x_{A}\) + \(x_{B}\) )/2

             y - coordinate of mid - point =  ( \(y_{A}\) + \(y_{B}\) )/2

Calculating x - coordinate :

= ( \(x_{A}\) + \(x_{B}\) )/2

= (-6+2)/2

=-4/2

=-2

Calculating y - coordinate :

= ( \(y_{A}\) + \(y_{B}\) )/2

= (0-1)/2

= -1/2

M = ( \(x_{A}\) + \(x_{B}\) )/2 , ( \(y_{A}\) + \(y_{B}\) )/2

Therefore , M =  ( -2 , -1/2 ) .

Hence , the coordinates of midpoint of line segment with given endpoints (2, -1) and (-6, 0)  are ( -2 , -1/2 ) .

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Answer:

12.

Step-by-step explanation:

if to re-write the given condition, then

\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)

it is clear, the required constant is 12 (12 per hour).

Answer:

24+21

Step-by-step explanation:

24+21

Hope you got your answer

Answer:

10/3 ..don't trust I might be wrong

Answer:

\(=8x-y-1\)

Step-by-step explanation:

So we have the expression:

\((5x-2y+7)+(3x+y-8)\)

Combine like terms:

\(=(5x+3x)+(-2y+y)+(7-8)\)

Add:

\(=8x-y-1\)

And we're done!

Answer:

8x-y-1

Step-by-step explanation:

First remove the parentheses

5x-2y+7+3x+y-8

Add 5x and 3x

8x-2y+7+y-8

add -2y and y

8x-y+7-8

Subtract 8 from 7

8x-y-1

The fence in dead center is about 399 feet from the third base.

The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side,  is equals to the sum of the squares of the lengths of the other two sides.

Hence the equation for the theorem is given as follows:

c² = a² + b².

In which:

For the triangle in this problem, we have that:

Hence the distance is obtained as follows:

d² + 90² = 409²

\(d = \sqrt{409^2 - 90^2}\)

d = 399 ft.

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Ten times to get the required amount of 100ml of milk for her recipe.

Avery needs to measure 100ml of milk for her recipe but she only has a 10ml measuring cup.

Therefore, she needs to determine how many times she will need to fill her 10ml measuring cup to get the required amount of milk.

To calculate this, we can divide the required amount of milk by the capacity of the measuring cup. In this case, we divide 100ml by 10ml to get:

100ml ÷ 10ml = 10

This means that A very will need to fill her 10ml measuring cup 10 times to get the required amount of milk for her recipe.

Another way to think about it is to consider that 100ml is ten times the capacity of the 10ml measuring cup. Therefore, Avery will need to fill the measuring cup ten times to get the required amount of milk.

In summary, Avery will need to fill her 10ml measuring cup ten times to get the required amount of 100ml of milk for her recipe. t

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Answer:

1

Step-by-step explanation:

Answer:

9 + (-4i) = 9 - 4i

So we can multiply both sides of the equality by 3

and we know that

Then

Step-by-step explanation:

Answer:

y= -3x+1

Step-by-step explanation:

x1= -2 x2=2 y1=7 y2=-5

using the formula

(y-y1)/(x-x1)=(y2-y1)/(x2-x1)

(y-7)/(x-(-2))=(-5-7)/(2-(-2))

(y-7)/(x+2)=(-5-7)/(2+2)

(y-7)/(x+2)=(-12)/4

(y-7)/(x+2)=-3

cross multiply

y-7=-3(x+2)

y-7=-3x-6

y=-3x-6+7

y=-3x+1

Answer:

\(5x^4-\frac{25x^4}{x+8}+\frac{5x^5}{(x+8)^2}\)

Step-by-step explanation:

\(f(x)=x^5\\f'(x)=5x^4\\g(x)=1-\frac{5}{x+8}\\g'(x)=\frac{5}{(x+8)^2}\\\\\frac{d}{dx}f(x)g(x)\\\\=f'(x)g(x)+f(x)g'(x)\\\\=5x^4(1-\frac{5}{x+8})+x^5(\frac{5}{(x+8)^2})\\\\=5x^4-\frac{25x^4}{x+8}+\frac{5x^5}{(x+8)^2}\)

Step-by-step explanation:

OK so

Tomatoes = 2 3/8 = 19/8 (turned into improper fraction)

Asparagus = 1 1/4 =5/4

Potatoes = 2 7/8 = 23/8

Total vegetables used =

19/8 + 5/4 + 23/8 = 42/8 + 5/4 = 42+10/8 =52/8

Answer is 52/8 = 6.5

Answer : 52/8 pounds were used altogether

See picture for solution.

Answer: 6.25

create a ratio of 2.5/2 = x/5 and solve for x. First multiple both sides by 10 so you get 12.5 = 2x. Then you get x = 6.25.

para hacer una docena de galletas se necesitan 25tazas y medias de harina

Answer:

growth factor for what?

The required expression is (x / 5) + 9

Given that we have to build an equation for the statement "9 more than the quotient of x and 5,

So,

This expression represents the quotient of x divided by 5, and then adding 9 to the result.

Therefore,

"9 more than the quotient of x and 5" can be written mathematically as:

(x / 5) + 9

Hence the required expression is (x / 5) + 9

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To describe the temperatures for the week, we can apply the following statistical tools:

a) Find the mean, median, mode, and range.

c) Construct a line graph.

d) Construct a stem and leaf plot.

We can describe temperatures using measures of central tendencies (especially the mean, median, and mode).

The mean temperature is the average, which shows the overall trend in temperature changes.  It is computed by adding up the temperatures for the period and diving by the number of data values.

In addition, the median gives the middle value when the data set is ordered in ascending or descending orders. Similarly, the mode gives the highest temperature occurrence within the period. It may not be useful here.

We can estimate the difference between the highest and lowest temperature for the week with the range.

A line graph (showing connecting lines) and a stem-and-leaf plot (like a bar graph) can graphically describe the temperatures for the week.

Thus, we can use Options A, C, and D to describe the temperature.

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What could you do to describe the following data, showing temperatures for the week? (Check all that apply.)

Mon - 65°

Tues - 67°

Wed - 66°

Thur - 70°

Fri - 72°

Sat - 68°

Sun - 69°

a) Find the mean, median, mode, and range.

b) Survey people about the weather.

c) Construct a line graph.

d) Construct a stem-and-leaf plot.