A,B,C, or D. Which one?

Let's begin by identifying key information given to us:

To obtain the angle C, we will use the Law of Cosines as shown below:

Answer:

it would have to be c....

Step-by-step explanation:

Let's assume the number of adults who entered the cave is 'A' and the number of youths is 'Y'.We can use the substitution method or the elimination method.Therefore, 250 adults entered the cave.

The total number of people who entered the cave, which is 575, and the total amount collected, which is $5600.From this information, we can set up two equations. The first equation represents the total number of people: A + Y = 575. The second equation represents the total amount collected: 12A + 8Y = 5600.

To solve this system of equations, we can use the substitution method or the elimination method. Here, let's solve it using the substitution method.

From the first equation, we have A = 575 - Y. Substituting this value into the second equation, we get 12(575 - Y) + 8Y = 5600.

Expanding and simplifying the equation gives 6900 - 12Y + 8Y = 5600. Combining like terms yields -4Y = -1300.

Dividing both sides by -4, we find Y = 325.

Substituting this value back into the first equation, we can calculate A: A + 325 = 575, so A = 250.

Therefore, 250 adults entered the cave.

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Answer:

5

Step-by-step explanation:

if x= 5 or -5, either way their absolute value will be 5

hope i helped :D

Answer:

It’s 5

Step-by-step explanation:

First for x put 5. The | 5| is 5. Remember absolute value never can be negative

Given:

Step by step solution:

We need to comment on the number of solutions of the equation:

From here we can say that y will have only one solution, which is equal to y = 15.

The number of arrangements are

P(20, 10) = 20! / (20 - 10)!=  (20 x 19 x 18 x 17 x 16 x 15 x 14 x 13 x 12 x 11) / (10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1)

To determine the number of different arrangements of books on the library shelf, we can use the concept of permutations.

Since there are 20 empty spots on the shelf and 10 different disciplines, we need to calculate the number of permutations of the 10 disciplines in the 20 spots.

The formula for calculating permutations is given by:

P(n, r) = n! / (n - r)!

Where n represents the total number of objects and r represents the number of objects selected at a time.

In this case, we have 10 different disciplines and 20 empty spots, so we can calculate the number of arrangements as:

P(20, 10) = 20! / (20 - 10)!

= 20! / 10!

= (20 x 19 x 18 x 17 x 16 x 15 x 14 x 13 x 12 x 11) / (10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1)

Calculating this expression gives us the total number of different arrangements of books on the shelf.

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Considering that each input is related to only one output, the correct option regarding whether the relation is a function is:

A. yes.

A relation represents a function when each value of the input is mapped to only one value of the output.

For this problem, we have that:

There are no repeated inputs, hence the relation is a function and option A is correct.

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Using translations and proportions, it is found that:

Translations are modifications made to the function, when it is shifted up/down, or left/right.

In this problem, to go from the Community Center to the Post Office, there is a translation of 2 units left and of 3 units down.

The distance is the hypotenuse of a right triangle, in which the legs are 2 units and 3 units. Hence, the distance on the coordinate grid is found applying the Pythagorean Theorem:

\(d^2 = 2^2 + 3^2\)

\(d = \sqrt{13}\)

\(d = 3.606\)

Since each grid is 0.05 mile, in miles, the distance is:

\(d = 0.05(3.606) = 0.18\)

You will travel 0.18 miles.

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Here, x value of 8 would be located on the left tail of the normal distribution curve, 3.67 standard deviations below the mean (μ=22.3) and with a very low value in terms of percentile or probability (0.015%).

To indicate where the given x value of 8 would be on the curve, we need to plot it on a normal distribution curve with a mean (μ) of 22.3 and a standard deviation (σ) of 3.9.
First, we need to convert the given x value of 8 into a z-score by using the formula:  z = (x - μ) / σ
Plugging in the values, we get: z = (8 - 22.3) / 3.9 = -3.67
This means that the value of 8 is located 3.67 standard deviations below the mean.
Next, we need to find this point on the normal distribution curve. We can use a z-score table or a graphing calculator to find the corresponding area under the curve.
If we use a z-score table, we can look up the area to the left of -3.67, which is 0.00015. This means that only 0.015% of the data falls below this point.
To plot this on the curve, we can locate the mean (μ) and mark it as the center of the curve. Then, we can count 3.67 standard deviations to the left of the mean and mark this as the point where the value of 8 would be located.

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The largest integer that is a divisor of (n+1)(n+3)(n+5)(n+7)(n+9) is 15

Divisor of a Number :  

A Divisor is any number that divides a given number completely or with a reminder. Where a factor, is a divisor that divides the number entirely and leaves no remainder.

Here we have,

(n + 1)(n + 3)(n + 5)(n + 7)(n + 9)  

And n is a positive even integer  

For n = 2 ⇒  (2 + 1)(2 + 3)(2 + 5)(2 + 7)(2 + 9) = (3× 5 × 7 × 9 × 11 )    

For n = 4 ⇒   (4 + 1)(4 + 3)(4 + 5)(4 + 7)(4 + 9) = (5× 7 × 9 × 11 × 13 )

and so on.

From the above calculations,

we can say that (n + 1); (n + 3); (n + 5); (n + 7); (n + 9) are 5 consecutive odd numbers  

In every 5 consecutive odd positive integers,

One of them is always divisible by 3

And one of them is always divisible by 5.

Therefore,

(n + 1)(n + 3)(n + 5)(n + 7)(n + 9) will be divisible by both 3 and 5

As we know product of 3 and 5 = 15

then (n + 1)(n + 3)(n + 5)(n + 7)(n + 9) will also divisible by 15

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The complete question is

What is the largest integer that is a divisor of (n+1)(n+3)(n+5)(n+7)(n+9) for all positive even integers n?  

(A) 3         (B)  5        (C)  11          (D) 15             (E)  165    

Hello User!

Answer:

2 / 3 1/6= 12/19

5 3/8 / (-2 3/4)= -43/22 = -1 21/22

Hope this help <3

Answer: reflection across x axis and y axis?

Step-by-step explanation: repost question with the possible answers!

Answer:

The number of hours they would have to drive for the first day if they average 50 mph over the course of the is 15 hours

Step-by-step explanation:

The given parameters are;

The distance the Roberts family plan to drive = 1500 miles

The average speed at which they drove = 50 mph

We note that the formula for average speed = Total distance/(time)

Therefore, we have;

50 mph = 1500 miles/(time, t)

Time = 1500 miles/(50 mph) = 30 hours

Given that for the first day of the 2 days, they will cover half their total distance, which is 1500 m/2 = 750 m

The time taken = 750 miles/(50 mph) = 15 hours

The time take to cover half the distance = 15 hours

Therefore, the number of hours they would have to drive for the first day if they average 50 mph over the course of the is 15 hours.

The area of this region is equal to \(\pi \cdot (\sqrt{35})^2 = 35\pi\)

The equation for the set of complex numbers z such that the real part of 1/z is equal to 1/6 is given by:

Re(1/z) = 1/6

Since 1/z = 1/x + i/y,

Where x and y are the real and imaginary parts of z, respectively,

we can write the equation as:

(1/x)=(1/6) and \($\frac{y}{x^2 + y^2} = \frac{1}{6}$\)

From the first equation,

we have x = 6.

Substituting this value into the second equation, we get:

\($\frac{y}{36 + y^2} = \frac{1}{6}$\)

Solving for y,

we find that \($y = \pm \sqrt{35}$\).

So, the set of complex numbers z that satisfies the equation forms a circle centred at 6 + 0i with radius \($\sqrt{35}$\).

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Answer:

B

Step-by-step explanation:

We have to use the domain to see how much the line streches across the y axis

Answer:

c

Step-by-step explanation:

Answer:

You put a dot in the middle of FG and call it z

Step-by-step explanation:

Answer:

Step-by-step explanation:

The midpoint of a segment FG is the average of the coordinates of points F and G. The midpoint is just (x1+x2)/2, (y1+y2)/2

Answer:

95

Step-by-step explanation:

add 50,45

Answer:

it has to be over 100

Step-by-step explanation:

i think this because if the 1 fraction cube is 1/3*1/3*1/3 big and the cube itself is 2 1/3*3 2/3*3 times long you would have to multiply that and the answer you get for the both of them divide them and see what you get

which would be 693.000000133

Answer:

The second deal is better. It is $2.042 per gallon

Step-by-step explanation:

$11/5 and 51.05/25 are the deals.

Let's multiply the first deal by 5/5.

That is $55 per 25 gallons and the other deal is $51.05 per 25 gallons.

So the second deal is better.

Now lets divide 51.05 by 25 to find out how much dollars per gallon

51.05 / 25 = 2.042, so it is $2.042 per gallon.

The necessary positive value of n is 2.

What is Positive Value?

Positive numbers are any numbers that are greater than zero.

Given,

m varies inversely as the square of n.

When n = 3, then m = 6.

Inverse proportion: It is assumed that m is inversely proportional to n squared. So,

m ∝ 1/\(n^{2}\)

m = k/\(n^{2}\) ................. (1)

Where, k is the constant of proportionality.

Substitute m = 6 and n = 3 in the above equation.

6 = k / 3²

6 = k /9

6 * 9 = k

54 = k

Substitute this value in (i).

m = 54 / n²

Substitute m = 13.5 in the equation.

13.5 = 54 / n²

n² = 54 / 13.5

n = ± √4

n = ± 2

As a result, the required positive value of n is 2.  

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Carlos has 13 pennies, 13 dimes, and 8 quarters in his box of coins.

Let's denote the number of pennies as "p", the number of dimes as "d", and the number of quarters as "q". Since the number of pennies is equal to the number of dimes, we can set up the following equation:

p = d

The total number of coins is given as 34, so we can write another equation:

p + d + q = 34

The value of the pennies can be represented as 0.01p, the value of the dimes as 0.10d, and the value of the quarters as 0.25q. The total value of the coins is $3.43, so we can set up another equation:

0.01p + 0.10d + 0.25q = 3.43

Now, substitute p = d into the second equation:

0.01(d) + 0.10d + 0.25q = 3.43

0.11d + 0.25q = 3.43

We have three equations:

p = d

p + d + q = 34

0.11d + 0.25q = 3.43

Substituting p = d into the second equation gives:

d + d + q = 34

2d + q = 34

We can rewrite the third equation as:

11d + 25q = 343

Now we have a system of two equations:

2d + q = 34

11d + 25q = 343

By solving these equations, we can find the values of d and q.

Using the substitution method, we can express q in terms of d from the first equation:

q = 34 - 2d

Substituting this value into the second equation:

11d + 25(34 - 2d) = 343

11d + 850 - 50d = 343

-39d + 850 = 343

-39d = 343 - 850

-39d = -507

d = -507 / -39

d = 13

Substituting the value of d back into the first equation:

p = d

p = 13

Finally, substituting the values of p and d into the equation for the total number of coins:

p + d + q = 34

13 + 13 + q = 34

q = 34 - 26

q = 8

Therefore, Carlos has 13 pennies, 13 dimes, and 8 quarters in his box of coins.

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Answer:

44

Step-by-step explanation:

4+8(5)

Multiply 8 by 5

4+40=44

Add 4 to the product (40) to get the final answer of 44

Remember PEMDAS

Therefore, the center of the circle is located at (0, 6), and the length of the radius is approximately equal to 7.43.

To determine the coordinates of the center and length of the radius of the circle, we need to rewrite the given equation in standard form, which is\((x - h)^2 + (y - k)^2 = r^2\), where (h, k) represents the center coordinates and r represents the radius.

Given equation: \(x^2 + y^2 - 12y - 20.25 = 0\)

To complete the square, we need to add and subtract the appropriate terms on the left side of the equation:

\(x^2 + y^2 - 12y - 20.25 + 36 = 36\)

\(x^2 + (y^2 - 12y + 36) - 20.25 + 36 = 36\)

Simplifying further:

\(x^2 + (y - 6)^2 = 55.25\)

Comparing this equation with the standard form, we can identify the following values:

Center coordinates: (h, k) = (0, 6)

Radius length:\(r^2\) = 55.25, so the radius length is √55.25.

Therefore, the center of the circle is located at (0, 6), and the length of the radius is approximately equal to 7.43.

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To create indicator variables for the 'history' column with the base case as 'none', we can create three variables: 'low', 'medium', and 'high'.

We assign the value of 1 to the corresponding variable if the 'history' column has a positive case (low, medium, or high), and 0 if it has a negative case (none).

Here is an example of how the indicator variables can be created:

'low': Assign the value of 1 if the 'history' column has the value 'low', and 0 otherwise.

'medium': Assign the value of 1 if the 'history' column has the value 'medium', and 0 otherwise.

'high': Assign the value of 1 if the 'history' column has the value 'high', and 0 otherwise.

By creating these indicator variables, we can represent the 'history' column in a binary format that can be used for further analysis or modeling.

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Nominal and ordinal data are the scales of measurement analyzed using nonparametric tests.

Nonparametric tests are statistical methods that are utilized for analyzing variables that are either nominal or ordinal scales of measurement.

The following scales of measurement are analyzed using a nonparametric test:

Nominal and ordinal data are the scales of measurement analyzed using nonparametric tests.

The correct option is C.

What are nonparametric tests?

Nonparametric tests are statistical methods that are used to analyze data that is not normally distributed or where assumptions of normality, equal variance, or independence are not met by the data.

These tests are especially beneficial in instances where the sample size is small and the data is non-normal.

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Answer:

r = √(A/π)

Step-by-step explanation:

HI

I WANT AN ANSWER THAT

HOW WILL I MAKE r the subject of the formula

A= ½πr²,

inverse formula

r = √(A/π)

Answer: GP = ar^n-1

To find r , divide the 2nd term by the 1st term or the 3rd term by the 2nd term.
Now r = 3/4 or g/3. To find g now, the two can be equated together and solve for g or by multiplying the 2nd term by the common ratio.
(1) r = 3/4 ……………………,(1)

r =. g/3……………………..(2)

g = 3/4 x 3

= 9/4. or

3/4 = g/4, by cross multiplying the equation, it now becomes

4g = 3 x3

4g = 9

Now divide both dude by the coefficient of g which is 4

g = 9/4

Now, r = 3/4 or g/3 and g = 9/4

Step-by-step explanation:

The relevant details from the poem and the description of how they develop the subject are:

The fact that the narrator mentions how there are a pair of them means that they are not alone. It means that just because they are a nobody does not mean that they consider themselves to be alone.

The fact that they could be banished means that being a nobody is a bad thing that warrants the punishment of being banished from the society in question.

When a person is deary, it means that they are doing something that can either bring them praise or punishment which means that being somebody can either be positive or negative so it can be a positive to be a nobody.

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