What is the name of the element

The charge

The mass number

The atomic number

solving for the inverse of y = x² + 12x

Line 1:    x = y² + 12 x.      

Line 2    y² = x - 12 x.  

Line 3 is y²= - 11 x.

Line 4 is y = √(- 11x)  for x ≥ 0.

The error lies in Line 1. All x's have to be switched with y's and vice versa for the method to work.

As such Line 1 should be  x = y² + 12y  NOT (x = y² + 12 x)

Since Line one is wrong, it messes with all the other lines.

Answer:

m=\(\frac{3}{4}\)

Step-by-step explanation:

1) Gathering the data

1/5 inch

7/20 inches long

2) Let's them divide, 7/20 by 1/5 inches

When divide fractions, we multiply the reciprocal of the second fraction

and if possible we can simplify

24

Because it we have to find x....

Answer:

answer: 72

Hope that helps!

Answer:

f(x) - g(x) = 3x² - 3x + 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 3x² - x + 5

g(x) = 2x - 3

Step 2: Find f(x) - g(x)

Answer:

D

Step-by-step explanation:

We would like to solve:

(3/4h + 4) - (1/2h + 1)

This is equivalent to:

3/4h + 4 - 1/2h - 1

First, combine like terms; that is, combine the terms with h in them and combine the terms without h in them:

3/4h - 1/2h + 4 - 1

The common denominator for 3/4 and 1/2 is 4, so:

3/4h - 1/2h = 3/4h - 2/4h = 1/4h

Put this back in:

1/4h + 4 - 1

1/4h + 3

The answer is thus D.

~ an aesthetics love

Problem 4a

Let's say each figure has all side lengths that are 10 feet. You can pick any positve number you want.

For the regular octagon we have n = 8 and s = 10

Compute the area

\(A = 0.25n*s^2*\cot(180/n)\\\\A = 0.25*8*(10)^2*\cot(180/8)\\\\A = 0.25*8*(10)^2*\cot(22.5)\\\\A = 0.25*8*(10)^2*\frac{1}{\tan(22.5)}\\\\A \approx 482.8427\\\\\)

The regular octagon, with side lengths of 10 feet, has an area of roughly 482.8427 square feet.

-----------------

For the regular hexagon, we'll keep s = 10 but change n to n = 6

\(A = 0.25n*s^2*\cot(180/n)\\\\A = 0.25*6*(10)^2*\cot(180/6)\\\\A = 0.25*6*(10)^2*\cot(30)\\\\A = 0.25*6*(10)^2*\frac{1}{\tan(30)}\\\\A \approx 259.8076\\\\\)

The regular hexagon (also with side length 10 ft) has an area of roughly 259.8076 square feet.

These numeric values aren't going to be part of the answer. All we care about which area is larger.

Comparing 482.8427 and 259.8076, we can see that the first value is larger, which corresponds to the octagon. Therefore, the octagon is larger.

-----------------

===========================================================

Problem 4b

Let's say both figures have an area of A = 100 square feet.

For the pentagon, we have n = 5 sides and we don't know the value of s.

Let's solve for it.

\(A = 0.25n*s^2*\cot(180/n)\\\\100 = 0.25*5*s^2*\cot(180/5)\\\\100 = 0.25*5*s^2*\cot(36)\\\\100 = 0.25*5*s^2*\frac{1}{\tan(36)}\\\\100 \approx 1.720477*s^2\\\\1.720477*s^2\approx 100\\\\s^2\approx \frac{100}{1.720477}\\\\s^2\approx 58.123416\\\\s\approx \sqrt{58.123416}\\\\s\approx 7.623871\\\\\)

The side of the pentagon is about 7.62 feet to get us an area of 100 square feet.

Now let's follow the same type of steps for n = 6. Keep A = 100 the same.

\(A = 0.25n*s^2*\cot(180/n)\\\\100 = 0.25*6*s^2*\cot(180/6)\\\\100 = 0.25*6*s^2*\cot(30)\\\\100 = 0.25*6*s^2*\frac{1}{\tan(30)}\\\\100 \approx 2.598076*s^2\\\\2.598076*s^2\approx 100\\\\s^2\approx \frac{100}{2.598076}\\\\s^2\approx 38.490021\\\\s\approx \sqrt{38.490021}\\\\s\approx 6.204033\\\\\)

Each side length has become about 6.2 feet. The side length has gone down when n increased (if we kept the area the same).

The pentagon had a side length of 7.62 feet and the perimeter is about 5*7.62 = 38.1 feet.

Meanwhile, the hexagon has a side length of around 6.2 feet and perimeter of about 6*6.2 = 37.2 feet.

As n increases, the perimeter must decrease because each side must decrease. This is only if we wanted the area to stay the same.

-----------------

Answer:

6

Step-by-step explanation:

because I guess it is six line's and that it will definitely be worth it to try it

Answer:

480m

Step-by-step explanation:

First we have to find the perimeter of the field.

We know that the area is 144m and that the field is a square.

Since a squares sides are all equal, we can do \(\sqrt{144}\), which is 12m.

So, one side of the field is 12m; now we just find the perimeter which is easy since its a square. 12*4=48m

If Andrea walked around it 10 times, then we just multiply the perimeter by 10

48*10=480m

Examples of such data include stock prices, economic indicators, and meteorological data such as temperature, wind speed, and barometric pressure.

These types of data often have a trend or pattern, but the difference between the data points has meaning and does not necessarily have a defined starting point.

1. Data where the difference between data values has meaning but there is no defined starting point can be defined as data that is not linearly dependent.

2. Examples of such data include stock prices, economic indicators, and meteorological data. These types of data often have a trend or pattern, but the difference between the data points has meaning and does not necessarily have a defined starting point.

3. Stock prices, economic indicators, and meteorological data all have different scales and can move in different directions, making it difficult to track the exact difference between data points.

4. Despite this, these types of data still allow for meaningful analysis and can be used to make predictions and draw conclusions.

Learn more about data here

https://brainly.com/question/14893265

#SPJ4

Answer:

1/2 dozen of one score is 30%.

Step-by-step explanation:

As we know that 1 dozen = 12 units.

1/2 dozen = 1/2 times 12=6 units

1 score = 20 units.

By using this conversion, we get

6/2 times 100=30%

So 1/2 dozen of one score is 30%

The time complexity to insert a node based on position in a priority queue is O(log n), where n is the number of elements in the priority queue.

A priority queue is a data structure that stores elements in sorted order based on their priority. The most important element is at the front of the queue, and the least important element is at the back of the queue. When a new element is inserted into the queue, it must be inserted in the correct position so that the priority order is maintained.

There are a number of different ways to insert a node into a priority queue. One way is to use a heap. A heap is a special type of binary tree that satisfies the heap property. The heap property states that the value of any node is less than or equal to the values of its children.

To insert a node into a heap, we first add the node to the end of the heap. Then, we repeatedly compare the node to its parent and swap them if the node has a higher priority than its parent. This process continues until the node is in the correct position in the heap.

The time complexity of inserting a node into a heap is O(log n), where n is the number of elements in the heap. This is because the worst-case scenario is when the node is inserted at the root of the heap. In this case, we have to compare the node to all of its children, which takes O(log n) time.

In conclusion, the time complexity to insert a node based on position in a priority queue is O(log n). This is because the node must be inserted into the queue in a way that maintains the priority ordering of the elements.

Learn more about time complexity here:

brainly.com/question/31040008

#SPJ11

Answer:Rewrite the equation in vertex form.

Tap for more steps...

y

=

4

(

x

−

1

)

2

−

9

Use the vertex form,

y

=

a

(

x

−

h

)

2

+

k

, to determine the values of

a

,

h

, and

k

.

a

=

4

h

=

1

k

=

−

9

Since the value of

a

is positive, the parabola opens up.

Opens Up

Find the vertex

(

h

,

k

)

.

(

1

,

−

9

)

Find

p

, the distance from the vertex to the focus.

Tap for more steps...

1

16

Find the focus.

Tap for more steps...

(

1

,

−

143

16

)

Find the axis of symmetry by finding the line that passes through the vertex and the focus.

x

=

1

Step-by-step explanation:

The statement " Rate of college enrollment immediately after completing high school was 67% by 1997" is an example of (a) Descriptive Statistics.

The Descriptive statistics involves the use of measures, such as averages, proportions, and frequencies, to summarize and describe the main features of a set of data.

In this statement, the rate of 67% is a summary statistic that describes the proportion of high school graduates who enrolled in college immediately after completing high school in 1997.

Whereas; the inferential statistics involves making inferences or predictions about a population based on a sample of data.

The statement provides a summary statistic for the rate of college enrollment for a specific year, 1997, but it does not provide any inferences or predictions about the rate of college enrollment for other years or other populations , so it denoted a Descriptive Statistics .

The given question is incomplete , the complete question is

What type of Statistics does the statement "the rate of college enrollment immediately after high school completion was 67" represents ?

(a) Descriptive

(b) Inferential

Learn more about Descriptive Statistics here

https://brainly.com/question/29487303

#SPJ4

Answer:

Extraneous Solutions An extraneous solution is a root of a transformed equation that is not a root of the original equation because it was excluded from the domain of the original equation. Example 1: Solve for x, 1 x − 2 + 1 x + 2 = 4 (x − 2) (x + 2).

The behavior of the solutions to the given second-order linear homogeneous differential equation, y'' + 6y' + 34y = 0, with initial conditions y(0) = -2 and y'(0) = -26, is oscillating with decreasing amplitude.

To solve the differential equation, we assume a solution of the form y(t) = e^(rt), where r is a constant to be determined. Plugging this into the differential equation, we obtain the characteristic equation \(r^2 + 6r + 34 = 0\). Solving this quadratic equation, we find that the roots are complex conjugates: r = -3 ± 5i.

The general solution to the differential equation is then given by \(y(t) = C1e^{(-3t)}cos(5t) + C2e^{(-3t)}sin(5t)\), where C1 and C2 are constants determined by the initial conditions. Using the given initial conditions y(0) = -2 and y'(0) = -26, we can substitute t = 0 into the general solution and solve for the constants.

After solving for C1 and C2, the final solution is obtained. The solution involves a combination of exponential decay \((e^{(-3t)})\) and trigonometric functions (cos(5t) and sin(5t)), indicating oscillatory behavior. The amplitude of the oscillation decreases over time due to the exponential term with a negative exponent. Therefore, the behavior of the solutions to the given differential equation is oscillating with decreasing amplitude.

Learn more about quadratic equation here: https://brainly.com/question/30098550

#SPJ11

Answer:

Im pretty sure they are

Step-by-step explanation:

Answer:A, C, and F

Step-by-step explanation: A requirement for a polygon is that its a polygon which basically means no gaps or missing sides and only A, C, and F serve those requirements

Answer:

7a+2a=9a

Step-by-step explanation:

You distribute the a to each of the numbers in the parenthesis. Which means that you multiply. You should be left with a 7a+2a. Then since 7+2=9, your answer is 9a. So answer 1 is correct because they do these exact steps.

Answer:

A

Step-by-step explanation:

You do 7a+2a=9a because you would have to give an a to each number with using distributive property

The alternate interior angle of  ∠3 is the angle  ∠6

The alternate interior angle of 3 is an interior angle such that is in the other intersection (so it is in the intersection of the line s) and that is in the oposite side of the original angle.

We can see that 3 is in the left side, then the alternate interior angle is the one that is on the right side of the intersection below.

That angle will be angle 6.

Learn more about alternate interior angles:

https://brainly.com/question/24839702

#SPJ1

Answer:

a

Step-by-step explanation:

The correct statement about an angle will be that when an angle turns through five 1-degree angles, then such angle will have a measure of 5 degrees.

An angle is simply used for the measurement of the number of turns. From the options given, we should note that when an angle turns through five 1-degree, then the measurement will be: = 1° × 5 = 5°.

When an angle turns through 1/360 of a circle, then the measurement will be: = 1/360 × 360° = 1°.

In conclusion, the correct option is C.

Read related link on:

https://brainly.com/question/17361298

The number A(t) of grams of salt in the tank at time is: \(200 - 180e^{-1/40t}\)

To determine the number of grams of salt in the tank at time t, we would apply the equation of state to have:

dA/dt = R(in) - R(out)

For R(out), we would have:

R(in) = 5g/min

R (out) = A/40 g/min

We would substitute these in the equation and apply a differential limit where A = 20 and t = 0

So,

20 = 200 + C

c = -180

Thus, the equation that expresses the rate = \(200 - 180e ^{-1/40t}\)

Learn more about rate determination here:

https://brainly.com/question/10831075

#SPJ1

Complete Question:

1. A tank contains 200 liters of fluid in which 20 grams of salt is dissolved. Brine containing 1 gram of salt per liter is then pumped into the tank at a rate of 5 L/min; the well-mixed solution is pumped out at the same rate. Find the number A(t) of grams of salt in the tank at time t.

A(t) = ____ g

Answer:

1. Numerator: 8                2. Numerator: 1

Denominator: 8                    Denominator: 6

Fraction: 8/8                        Fraction: 1/6

Step-by-step explanation:

A numerator is the top part of a fraction, and in this case is represented by the shaded parts. for example, question 2 has 1 out of the 6 parts shaded, this would make 1 the top number.

A denominator is the bottom part of the fraction and is represented by how many parts of there in all. for example, question 2 has 6 parts in all, this would make 6 the bottom number.

p + 0.07p = total cost

\(\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{7\% of p}}{\left( \cfrac{7}{100} \right)p}\implies 0.07p~\hfill \stackrel{\textit{total price}}{p+\underset{tax}{0.07p}}\)

Answer:

52b+43

Step-by-step explanation:

-7(10b+4)-3(-6b+ 5)

then -70b-28+18b-15

then -70b+18b-28-15

lastly 52b+43

Using trigonometric function the value of x is 51.3°.

What is trigonometric function?

The functions of an angle in a triangle are known as trigonometric functions, commonly referred to as circular functions. In other words, these trig functions provide the relationship between a triangle's angles and sides. There are five fundamental trigonometric functions: sine, cosine, tangent, cotangent, secant, and cosecant.

Here Let us take the given right triangle as ABC.

∠A = x , ∠B = 90° and AB = 25 , AC= 40

Now using Cosine ratio then

Cos  A = \(\frac{adjacent}{hypotenuse}\)

=> cos x = \(\frac{25}{40}\)

=> cos x = \(\frac{5}{8}\)

=> x = \(cos^{-1}\frac{5}{8}\)

=> x = 51.3°

Hence the value of x is 51.3°.

To learn more about trigonometric function refer the below link

https://brainly.com/question/25618616

#SPJ1

Kelly earned approximately $4,500 in her part-time job last year.

We can start by using algebra to solve for Kelly's earnings. Let's represent her earnings as x.

The amount of state income tax she paid is given as $234, and the state income tax rate is 5.2%, which means that she paid 5.2% of her earnings in tax. We can write this relationship as:

0.052x = 234

To solve for x, we can isolate it on one side of the equation by dividing both sides by 0.052:

x = 234 / 0.052

Simplifying this expression, we get:

x ≈ 4,500

what is expression?

In mathematics, an expression is a combination of one or more numbers, variables, and mathematical operations (such as addition, subtraction, multiplication, and division) that are used to represent a value. Expressions can be as simple as a single number or variable, or they can be complex and involve multiple operations.

For example, the expression 2x + 3y represents the sum of 2 times the value of the variable x and 3 times the value of the variable y. This expression can be evaluated for specific values of x and y, such as x = 4 and y = 5, to obtain a numerical value.

To learn more about expression visit:

brainly.com/question/14083225

#SPJ11

Answer:

The width of the prisim is equal to 2.23 feet.

Step-by-step explanation:

let l is length and b is width.

Length, l = 4b

The volume of the prism is 160 ft³.

The height of the prism is 8 ft.

The formula for the volume of a prism is given by :

\(V=lbh\\\\160=4b\times b\times 8\\\\160=32b^2\\\\b^2=\dfrac{160}{32}\\\\b=\sqrt5\\\\b=2.23\ ft\)

So, the width of the prisim is equal to 2.23 feet.

The distance driven is a linear function of the hours traveled, due to the constant addition every time the number of hours is increased by one.

A function is classified as linear if when the input variable is changed by one, the output variable is increased/decreased by a constant.

The points of the function in the table are given as follows:

(1,55), (2,110), (3, 165), (4,220).

(time input, distance output).

The increases to the output when the input time is increased by one are given as follows:

As the increases are constant, the distance driven, in fact, is a linear function of the hours traveled.

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1