the rabbit population is a certain area is 500% of last years population there are 900 rabbits this year how many were there last year​

Answer:

x cubed minus y cubed is equal to 504

Step-by-step explanation:

First we need to know what the values of x and y are.  We can do this pretty easily, by just solving both equations for x, and equating them to each other:

With the first:

x + y = 10

x = 10 - y

And with the other

x - y = 6

x = 6 + y

Now that we have two definitions of x, we can say that the expressions are equal, and solve for y:

10 - y = 6 + y

10 - 6 = y + y

4 = 2y

y = 2

And now that we know what y is, we can find x:

x = 10 - y

x = 10 - 2

x = 8

So x is equal to eight.  We can check our answer by plugging x into the other equation and seeing if we get the same value for y:

x - y = 6

8 - y = 6

-y = 6 - 8

-y = -2

y = 2

So we know we solved that correctly.

Now if we cube each number, eight cubed is equal to 512, and 2 cubed is equal to 8.  If we subtract the latter from the former we get 504.

so x cubed minus y cubed is equal to 504

The quadratic equation is:

To find if the number of solutions, we use the discriminant of the equation. But first, we compare the given equation with the general quadratic equation:

By comparison, we find the values of a, b, and c:

Now, as we said previously, we have to use the discriminant to find the number of solutions. The discriminant is defined as follows:

• If the value of D results to be equal to 0, there will be 1 real solution.

• If the value of D results to be greater than 0, there will be 2 real solutions.

• And if the value of D results to be less than 0, there will be no real solutions.

We substitute a, b and c into the discriminant formula:

Solving the operations:

As we can see, the value of D is less than 0 (D<0) which indicates that there will be no real solutions for this quadratic equation.

Answer: No real solutions

The number of ways to select a team of 6 people without restrictions  is equal to 2002.

We can use the combination formula:

\($\binom{n}{r} = \frac{n!}{r!(n-r)!}$\)

where \($n$\) is the total number of members (boys plus girls) and \($r$\) is the number of people we want to select (in this case, 6).

So, \($\binom{14}{6} = \frac{14!}{6!(14-6)!} = \frac{14!}{6!8!} = 2002$.\)

Therefore, there are 2002 ways to select a team of 6 people from a total of 14 members without restrictions.

The number of ways to select a team of 6 people without restrictions is equal to 2002.

Learn more about combination here:

https://brainly.com/question/19692242

#SPJ4

Answer:

30sheet need for cake can be made

Answer:

FH=22

Step-by-step explanation:

FGH is all one line, with FG being 15 units long and GH being 7 units long.

The distance from F to H is the two values added together.

FG+GH=FH

15+7=22

FH=22

Answer:

Look at the y axis

Step-by-step explanation:

Each division is 2 units, so look and mark 8,2 carefully
If it confuses you, take 16, 4 as well because I dunno how flexible are your drawing tools
Hope this helps :)

Edit: Sorry but I have just realized what had happened, I took the time variable for the y axis. (Sorry, I am used to using the time variable on the y axis

Answer:

11.758

Step-by-step explanation:

Answer:

12.000

Step-by-step explanation:

Answer:

6 and 7

Step-by-step explanation:

To evaluate f(3), substitute x = 3 into f(x) , that is

f(3) = 2(3) = 6

To evaluate g(f(3)), substitute f(3) = 6 into g(x)

g(6) = 6 + 1 = 7

In general, any linear equation of the form y = (1/2)x + b, where b is any constant, will be parallel to the given equation y = (1/2)x + 3.

Explain about linear equation ?

A linear equation is a mathematical equation that describes a straight line in a two-dimensional plane. In general, a linear equation takes the form:

y = mx + b

where x and y are variables, m is the slope of the line, and b is the y-intercept, which is the point where the line crosses the y-axis.

The slope of a linear equation represents the rate of change of the dependent variable y with respect to the independent variable x.

According to the question:
An equation that is parallel to y = (1/2)x + 3 will have the same slope of 1/2. This means that any equation in the form y = (1/2)x + b, where b is any constant, will be parallel to the given equation.

For example, the equation y = (1/2)x + 1 is parallel to y = (1/2)x + 3, because both equations have the same slope of 1/2. The only difference is that the y-intercept of the second equation is 3, while the y-intercept of the first equation is 1.

Similarly, the equation y = (1/2)x - 2 is also parallel to y = (1/2)x + 3, because both equations have the same slope of 1/2. The only difference is that the y-intercept of the second equation is -2, while the y-intercept of the first equation is 3.

In general, any equation of the form y = (1/2)x + b, where b is any constant, will be parallel to the given equation y = (1/2)x + 3.

To know more about linear equation visit:
https://brainly.com/question/30310809
#SPJ1

Answer:

Step-by-step explanation:

d = r* t

d/t = r

2.5/1.25=2 MPH

Answer:

A=Bh

Step-by-step explanation:

Multiply 6 and 2 then divide by two

Answer:

43.98

Step-by-step explanation:

The radius would be 1 and the height is 6cm.

The standard error of the mean for the sample of eight is approximately 3.16.

To calculate the standard error of the mean (SEM), we can use the formula:

SEM = standard deviation / square root of sample size

For the sample of four:

Standard deviation (s) = 5.48

Sample size (n) = 4

SEM = 5.48 / sqrt(4) = 5.48 / 2 = 2.74

Therefore, the standard error of the mean for the sample of four is 2.74.

For the sample of eight:

Standard deviation (s) = 8.93

Sample size (n) = 8

SEM = 8.93 / sqrt(8) ≈ 3.16

Therefore, the standard error of the mean for the sample of eight is approximately 3.16.

Comparing the two samples, the sample of four has a smaller standard error of the mean (2.74) compared to the sample of eight (approximately 3.16). A smaller standard error indicates a more precise estimate of the population mean. Therefore, the sample of four is a better estimate of the population mean compared to the sample of eight.

Learn more about mean here

https://brainly.com/question/1136789

#SPJ11

Answer: you have to multiply by ft2 x 250 = the answer is 23.22576 divide by 1.45161 and this is your real answer = 89.16

Step-by-step explanation: you have to do what i told you to do above of me

Answer: 24 - Rectangle 1

Step-by-step explanation:

The two Rectangle 1's are the top and bottom rectangles. To find the area of a rectangle, you have to multiply length x width. You know that the bottom rectangle is identical to the top rectangle, so by solving for the bottom rectangle, we solve for the top!

The length of this rectangle at the bottom is 8, and the width is 3. 8 x 3 = 24. The area of the bottom and top rectangles (1) are 24.

The question wants you to multiply one rectangle with an area of 24 feet squared by 2, because there are two of the same rectangles (top and bottom). 24 x 2 = 42. The total area of the top and bottom rectangles is 42 square feet.

You can do the same with the other rectangles. Using length x width = area, you can then multiply that times two to get the area of two of the same rectangles. Here's one more example from the problem:

The largest rectangle from the rectangular prism is facing the front, the other is facing the back. The length of these two rectangles is 15, the width is 8.

length x width = area
15 x 8 = area

120 square feet = area

Now, multiply that by 2 and you get the area of both of the same rectangles. 240 square feet.

Now we have Rectangle 1 (x2) = 42, and another Rectangle (2 or 3) (x2) = 240. Now, all you have to do is find the area of the rectangle with the length of 15 and the width of three and multiply it by two to find the areas of all the triangles. Then, save all three answers: 42, 240, and the other answer. Then, add 42, 240, and the other answer together to get the Total Surface Area. Good luck!

When a point falls outside of control limits in statistical process control, the probability is quite high that the process is experiencing special cause variation.

In statistical process control (SPC), control limits are used to define the range within which a process is expected to operate under normal or common cause variation. Common cause variation refers to the inherent variability of a process that is predictable and expected.

On the other hand, special cause variation, also known as assignable cause variation, refers to factors or events that are not part of the normal process variation. These are typically sporadic, non-random events that have a significant impact on the process, leading to points falling outside of control limits.

When a point falls outside of control limits, it indicates that the process is exhibiting a level of variation that cannot be attributed to common causes alone. Instead, it suggests the presence of specific, identifiable causes that are influencing the process. These causes may include equipment malfunctions, operator errors, material defects, or other significant factors that introduce variability into the process.

Therefore, when a point falls outside of control limits in statistical process control, it is highly likely that the process is experiencing special cause variation, which requires investigation and corrective action to identify and address the underlying factors responsible for the out-of-control situation.

Learn more about statistical process control here:

https://brainly.com/question/32323372

#SPJ11

Solution:

We want to get the expression equivalent to the one above;

1. Evaluate the first option;

2. Evaluate the second option;

None of these matches the required number, so the answer is NONE

Answer:

All that you have to do is plot -11.

Step-by-step explanation:

cause'

The probability that at least 3 children age 18 or under will be selected is 0.50

A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.

Probability = sample space/total possible outcome

at least 3 children means x≥ 3

therefore ;

probability of atleast 3 children age 18 or under are selected =

.13+ .10 +.22 +.05

= 0.50

learn more about probability from

https://brainly.com/question/24756209

#SPJ1

Answer: C.   The drone is on the ground at 0 and 4 seconds.

you have a blessed thanksgiveing

Answer:

sorry i didn't understand

Answer:

A=36 square units

Step-by-step explanation:

Step-by-step explanation:

to compare 5/6 and 1/3 we need to bring both fractions to the same denominator (bottom part of a fraction).

in other words, 1/3 needs to become x/6.

so, what do we need to do to bring 3 to 6 ? we multiply by 2.

and then we need to multiply also the numerator (top part) by the same 2, so that all we do is multiplying 1/3 by 2/2 and keep the value of the fraction unchanged.

1/3 × 2/2 = 2/6

and we compare 5/6 with 2/6.

how many 2/6 pound bags can he make out of 5/6 pounds ?

2 (2 × 2/6 = 4/6).

so, he can make 2 bags and has 1/6 pound left.

Mercury is used to measure high temperatures and alcohol has a lower freezing point that mercury.

The freezing point of any substance, describe the transition of liquid into solid.

The freezing point of water is \(0\) °C or \(32\) °F.

At zero-degree water molecules are moving very slowly, and formation of solid begins i.e. Ice.

When salt or sugar is combined that is mixed with water or ice and it is evenly distributed, the freezing point is lowered.

Lowering of freezing point allows the street ice to melt at lower temperatures, it prevent the accumulation of dangerous, slippery ice.

Alcohol is used to measure the lower temperatures.

Mercury boils at \(357\) degree Celsius where as alcohol boils at \(78\) degree Celsius.

To know more about Freezing point

https://brainly.com/question/28032179

#SPJ9

Answer:

Answer choice A

Step-by-step explanation:

This is the midpoint of both coordinates.

Answer:

3 + (-2) + (-2), or 3-2-2

Step-by-step explanation:

5, 5 1, 2, 6, 3

\(7\frac{1}{2}\implies 7.5\hspace{5em}1\frac{1}{4}\implies 1.25 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{ \textit{Monday through Friday} }{\stackrel{ days }{(5)}\stackrel{ rate }{(10.80)}\stackrel{ hours }{(7.5)}}~~ + ~~\stackrel{ Saturday }{\stackrel{ days }{(1)}\stackrel{ rate }{(10.80)(1.25)}\stackrel{ hours }{(7.5)}} \\\\\\ 405~~ + ~~101.25\implies \text{\LARGE 506.25}\)

1. (x - y) (x² + xy + y²)

= (X )x² + (X ) xy + (y) y²

= ( x^3)- x²y + x²y - xy² +(xy^2) - y³

= x³ -y^3

Here is your answer !

Plz mark me brainest

From the probability distribution for the number of defective items in a random sample, the expected value of X is 2.82.

To calculate the expected value of X, we need to multiply each possible value of X by its corresponding probability and sum them up.

The expected value of X, denoted as E(X) or μ, is calculated using the formula:

E(X) = ∑ (x * p(x))

where x represents each possible value of X and p(x) represents the corresponding probability.

In this case, the probability distribution for X is given as follows:

x: 0 1 2 3 4

p(x): 0.1 0.15 0.13 0.07 0.55

To calculate the expected value, we perform the following calculations:

E(X) = (0 * 0.1) + (1 * 0.15) + (2 * 0.13) + (3 * 0.07) + (4 * 0.55)

E(X) = 0 + 0.15 + 0.26 + 0.21 + 2.2

E(X) = 2.82

The expected value represents the average value or mean of the probability distribution. In this case, it represents the average number of defective items we expect to find in a random sample based on the given probabilities.

To learn more about expected value click on,

https://brainly.com/question/31319639

#SPJ4

9514 1404 393

Answer:

  b) maximum

Step-by-step explanation:

The leading coefficient is negative (-1), so the parabola opens downward. Its vertex is the highest point on the graph, a maximum.