What is the Center and radius of x2+67+y2=8y+20x

We have the numbers 5, 11, 8, 8 7, 4, 10, 9, 7, 7, 6 and we have to calculate its mean.

To calculate the mean of a group of numbers we have to sum them all and then divide by the number of items we have added.

In this case we have 11 elements, so the mean can be calculated as:

The mean of this group of numbers is 7.45 periodic.

We have the following equation to solve

Where E, I, and Z are complex numbers, therefore let's put it in numbers

We can solve it directly into the rectangular form by doing the distrutive

Then

Remember that

Then

Now we have completely solved the problem!

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The second solution (usual)

When we have real engineering problems, we like to do multiplication and division with the polar form, then let's convert Z and I to the polar form

Now to do the multiplication we multiple the magnitude and sum the phases (angles)

We already have the result, now just put it in the rectangular form

Rate of Jenny = 1/ 8.4 minutes

Rate of Mofor = 1/13.3 minutes

We know time and rate are inverses of each other.

So, if they work together, their rates would be:

The time they will take will be the inverse of this, thus:

So, let's calculate it:

That is around 5.15 minutes.

The first step in simplifying the inequality is to divide both sides by -14:

Since we are dividing both sides by a negative number, the inequality reverses direction, and hence it becomes

This is the farthest we can go in simplifying the inequality; therefore, the above inequality is our answer

Answer: -86

Given:

If we consider x+4 as a factor of the given polynomial, this would mean that x=-4. For an x- value to be a factor of a polynomial, P(x) must be equal to 0. With that, we will have:

Therefore, the answer is -86

Answer:

Step-by-step explanation:

“y” should be the first step of the system.

To get the linear approximation, we follow the equation below:

where "a" is the given value of x and f'(a) is the slope of the function at a given value of "a".

In the given equation, the given value of "a" or x is 5.

Let's now solve for the linear approximation. Here are the steps:

1. Solve for f(a) by replacing the x-variable in the given function with 5.

The value of f(a) is 3125.

2. Solve for the first derivative of f(x) using the power rule.

The first derivative is equal to 5x⁴.

3. Replace the "x" variable in the first derivative with 5 and solve.

The value of the first derivative at x = 5 is also 3,125.

4. Using the linear approximation formula above, let's now replace f(a) with 3125 and f'(a) with 3125 as well since those are the calculated value in steps 1 and 3. Replace "a' with 5 too.

5. Simplify the equation above.

Hence, the equation of the tangent line to f(x) at x = 5 is y = 3,125x - 12500 where the slope m is 3,125 and the y-intercept b is -12,500.

Now, to find our approximation for 4.7⁵, replace the "x" variable in the equation of the tangent line with 4.7 and solve.

Using the approximated linear equation, the approximated value of 4.7^5 is 2, 187.5.

Given

So, we have that

Therefore, the expression given is

Apply the laws of exponents

Answer:

ANSWER and EXPLANATION

We want to construct a truth table for the following statement:

Jack will not play or Chris is hurt

where p: Jack will play; r: Chris is hurt

"Jack will not play" will be represented by -p.

This implies that "Jack will not play or Chris is hurt" will be represented by - p v r.

Let us now construct the truth table:

That is the truth table for the statement.

A)For this question, we will use the first and second derivative criteria. First, we compute the first and second derivative of the given function:

Setting the first derivative equal to zero and solving for x we get:

Evaluating the first second derivative at x=4602.273 we get a negative number, therefore the function has a maximum value at x=4602.273. At 4602.273 RPM the engine puts out its maximum horsepower.

B) Now, to compute the maximum horsepower we evaluate the given function at x=4602.273:

Therefore, the maximum horsepower is 1398.061.

After solving the given equation for f(x) the resultant answer is f(x)=1.

So, find f(x):

Now, calculate as follows:

Therefore, after solving the given equation for f(x) the resultant answer is f(x)=1.

Know more about equations here:

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Expression given:

Procedure:

• Solving for ,x ,in first inequality

• Solving for ,x ,in second inequality

Thus, the graph would be:

If the solution is for both inequalities, then the answer is in which both are included:

Solve for tan(A-45°).

Recall that tan(45°) = 1

Therefore, tan(A-45°) = -7/17.

Solve for tan(B+360°)

Recall that tan(360°) = 0

Therefore, tan(B+360°) = 5/7.

EXPLANATION

The Area of a square shape is:

Area= side*side = s^2

If we have that:

Area = 121 yd^2, then:

121=s^2

Isolating s:

f(x) = 2(x +3)^2 + 1

1. Scale f(x) by 1/2 ==> (1/2) f(x) = (x + 3)^2 + 1

2. Reflect f(x) through x axis ==> -(x+3)^2 + 1

3. Shirt f(x) to the right by 5 units ==> -(x + 3)^2 - 4

4. Shift f(x) down by 5 units ==> -(x - 2) - 4 = g(x)

Given data:

The given figure is shown.

The area of the composite figure is,

Thus, the area of the composite figure is 74 square-cm.

Given: 300, 400, 60, 325, 900, 600, 550, 150, 250

1st we find the mean or avaerage of all the numbers.

Mean:

From here we can see that X=300 falls below the mean.

So we can use this formula:

Answer: X falls below the mean by 23.688%

Answer

a = b

a + c = b + c (Addition Property of Equality)

This operation is True.

Explanation

If we are told that

a = b

Adding the same number to both sides of an equation is called the Addition Property of Equality.

And it produces the same number on both sides after this operation.

a = b

Add c to both sides

a = b

a + c = b + c (Addition Property of Equality)

This operation is True.

Hope this Helps!!!

So the 100% percent is equal to $60 and is decreasing $40 so is:

So is decreasing $20. now we can made a rule of 3 to finde the percentage so:

and the ecuation will be:

So in total the decrese a 33%

Explanation:

The equation of parabola can be founded using the following equation:

Where the point (h, k) is the vertex. So, if the hit covers a horizontal distance of 4 feet and reaches a maximum height of 20 feet, we can say that the vertex will be located at (2, 20) because the maximum height of 20 ft is reached when the horizontal distance is half of the maximum horizontal distance 4 ft.

So, the equation for the first hit is:

The percent of increase or decrease = change/original x 100%

Since the original price of the watch is $39

Since its price now is $17.50, then

The change of the price = 39 - 17.50 = 21.50 dollars

The percentage of decrease = 21.50/39 x 100%

The percentage of decrease = 55.1282

Round it to the nearest tenth

The percentage of decrease is 55.1%

The ordered pair is (- 5, - 2)

This means that when x = - 5, y = - 2

To determine if the ordered pair is a solution of the linear equation, We would substitute the values into the equation. If we substitute x = - 5 into the equation and y gives us - 2, then it is a solution.

Therefore,

y = - 5 - 1/2 = - 5 - 0.5

y = - 5.5

Since it is not - 2, then the answer is B

B- no it is not a solution

ed pai

A rhombus is a two-dimensional shape and is also characterized as a special parallelogram. It has four equal sides, with the opposite angles being equal to each other, whereas its adjacent angles are supplementary.

A rectangle is a also two-dimensional shape. It has four equal angles and four vertices. All the four angles of a rectangle measure 90°.

Rhombuses and Rectangles have the following differences:

1) A rhombus has four equal sides while in a rectangle, the opposite sides are equal.

2) The diagonals of a rhombus bisect each other at 90° while the diagonals of a rectangle bisect each other at different angles.

For the first equation:

y = (x + 5)(x + 1)

apply distribution property:

y = (x + 5)(x) + (x + 5)(1)

y = x·x + 5·x + x·1 + 5·1

y = x² + 5x + x + 5

y = x² + 6x + 5

For the second equation:

y = (x + 3)² - 4

use the fact that (a + b)² = a² + 2ab + b², for the term (x + 3)², then, you have:

y = x² + 2·x·3 + 3² - 4

y = x² + 6x + 9 - 4

y = x² + 6x + 5

The third equation is already in the convenient form.

Then, you can notice that all three equations are the same equations.

Answer:

the pool lost 44.56 liters per hour

Step-by-step explanation:

Answer: Letter Z.

The notation Z for the set of integers comes from the German word Zahlen, which means "numbers". Integers strictly larger than zero are positive integers and integers strictly less than zero are negative integers.

Answer:

150 degrees

Explanation:

Given: m∠8=150 degrees

Angles 8 and 5 are vertically opposite angles.

Vertical angles are equal, therefore:

Next, angles 1 and 5 are corresponding angles.

Corresponding angles are equal, therefore:

The measure of angle 1 is 150 degrees.

The mean absolute deviation (MAD) is a statistical measure of how much the different data points "move away" from the mean of the data set. In this case the weights of the bears have been given, the mean has been calculated and the MAD is derived by deducting each data point from the mean. The MAD has been given already by the way. Some data points fall below the mean while some are above it. but whatever the difference is, you'll have to take the "absolute value" that is positive value only. For example, the mean weight of the black bears is 299, and the weight of the first black bear is 102, that gives you adifference of 197. note that the result should be negative 197 (-197) but we are interested in the absolute values only.

Same way you find the absolute deviation for the other data points and you have, 197, 148, 51, 43, 154, and 199. Sum up these numbers and divide by the number of observed data (number of black bears) and you have 792 divided by 6 which gives you 132. This means the mean absolute deviation of the observed data is 132 as compared to the mean which is 299.

If you compare the MAD of the black bears with that of the grizzly bears, you would see that the MAD of the grizzly bears is more varied, because 104 2/3 moves further away from 419 than the MAD of the black bears which is 132 moving away from 299.

Notice the smaller range and values of the experiment with cow manure (smaller box diagram and also located at smaller values of total energy.

The banana mixture clearly generates a wider box diagram (so less consistent) and also located at higher values (to the right).

Therefore, the answer we choose is the last one (bottom right) that says that the cow manure data is more consistent than the other one, and also, since the mashed banana data is so much higher, combined with the previous will clearly give larger amounts of biogas.

Please select the bottom right option.

Solving for (f•g)(-1)