The difference of two rational numbers is an irrational number

Answer:

515

Step-by-step explanation:

Answer:

680

Step-by-step explanation:

What we should know is how many words he can type in 1/4 minutes. We can do 110 divided by 2.75 which is 40. 40 is the number of words he can type in 1/4 minutes. Now multiply this 17 (4 1/4 = 17/4) and you get 680. I believe he can type 680 words in 4 1/2 minutes. (Make sure my answer is correct)

The estimated age of the archaeological sample  as calculated from the given data is  = 2622.58333 years

Half life given is 5730

t₆.₅ = Ln2/k

k= ln 2/ 5730

The rate constant ,

k = 0.00012 year⁻¹

Given that 73 % of the 14C remains

then |A1|/|A2|  = 0.73

As we know ,

|A1|/|A2| = e ⁻₍kt₎

Hence, on solving the equation we get ,

ln(0.73)= -0.00012t

t = -0.31471/ -0.00012

 = 2622.58333 years

Half-life (symbol t½) is the time required for a quantity (of substance) to reduce to half of its initial value. The term is commonly used in nuclear physics to describe how quickly unstable atoms undergo radioactive decay or how long stable atoms survive. The term is also used more generally to characterize any type of exponential (or, rarely, non-exponential) decay.

For example, the medical sciences refer to the biological half-life of drugs and other chemicals in the human body. The converse of half-life (in exponential growth) is doubling time.

To learn more about half life

https://brainly.com/question/14356456

#SPJ4

The result of adding 0.6+0.6j and 0.6-0.6j in MATLAB is 1.2.

To add complex numbers in MATLAB, you can use the "+" operator. The given expression is "0.6 + 0.6j + 0.6 - 0.6j". Let's simplify it step by step:

First, let's simplify the real parts: 0.6 + 0.6 = 1.2.

Next, let's simplify the imaginary parts: 0.6j - 0.6j = 0.

Finally, combine the real and imaginary parts to form the complex number: 1.2 + 0j.

Therefore, the result of adding 0.6+0.6j and 0.6-0.6j in MATLAB is 1.2.

In MATLAB, complex numbers are represented as a combination of a real part and an imaginary part. The real part represents the magnitude of the number on the real number line, while the imaginary part represents the magnitude on the imaginary number line.

By using the addition operator "+", MATLAB automatically handles the addition of the real and imaginary parts separately. When adding two complex numbers, MATLAB adds their real parts together and their imaginary parts together. In this case, the real parts (0.6 and 0.6) add up to 1.2, and the imaginary parts (0.6j and -0.6j) cancel each other out resulting in 0. Thus, the sum of the complex numbers is 1.2.

MATLAB provides a powerful set of built-in functions for working with complex numbers. You can perform various operations such as multiplication, division, and exponentiation using these functions.

learn more about MATLAB here

https://brainly.com/question/30763780

#SPJ11

The percentage of adult spiders that have carapace lengths exceeding a certain value is equal to the area under the standard normal curve that lies to the right of that value.

This is because the normal distribution is symmetric around its mean, and the area to the right of a certain value represents the proportion of data points that are greater than that value. Therefore, by calculating the area under the standard normal curve to the right of a certain value, we can determine the percentage of adult spiders with carapace lengths exceeding that value.

Know more about standard normal curve here:

https://brainly.com/question/31391220

#SPJ11

The answer is b. Motivation and productivity is not a stage of group development.

The five stages of group development, according to Bruce Tuckman's model, are forming, storming, norming, performing, and adjourning. These stages include control and organization, mutual acceptance, communication and decision making, as well as productivity, but not motivation specifically.
The option that is not a stage of group development is (b) Motivation and productivity. The other stages are part of group development, such as control and organization, mutual acceptance, and communication and decision making.

Bruce Tuckman's model is a theory that outlines the stages of group development. The model was first introduced in 1965 and has since become a widely used and influential framework for understanding how groups develop and function. The model consists of four stages: forming, storming, norming, and performing.

The forming stage is characterized by a sense of excitement and anticipation as group members first come together. During this stage, members focus on getting to know one another, establishing goals and objectives, and understanding the task at hand.

The storming stage is characterized by conflict and disagreement as group members begin to assert themselves and their ideas. During this stage, there may be tension as different personalities and approaches clash, and members may question the group's direction or leadership.

Visit here to learn more about Motivation brainly.com/question/9176131

#SPJ11

The equation for the plane tangent to each surface - -10x + 6y + z - 5 = 0

What is Plane Tangent?

a tangent is a line that touches a curve at exactly one point without intersecting it. Similarly, a plane tangent is a plane that touches a surface at only one point without intersecting it further. This concept is commonly used in calculus and differential geometry to study the behavior of curves and surfaces.

We usually use partial derivatives of the equation of the surface to find the equation of the plane tangent to the surface at a point. The normal vector to the surface at that point is obtained by taking the cross product of the partial derivatives evaluated at that point. Then, using the coordinates of the point and the normal vector, we can determine the equation of the plane using the point-normal form or the general form of the plane equation.

It is important to note that the tangent plane equation depends on the specific point on the surface where the tangent plane is desired. Different points on the surface will have different tangent planes associated with them.

To find the equation for the plane tangent to the surface z = f(x, y) at a point (a, b, c), we need to use the partial derivatives of f with respect to x and y at the point (a, b) to find the normal vector to the plane.

Then we can use the point-normal form of the equation of a plane to write the equation.

First, we need to find the partial derivatives of f(x, y) = x^2 + y^3 - 6xy with respect to x and y:

fx = 2x - 6y

fy = 3y^2 - 6x

Then we can evaluate these partial derivatives at the point (1, 2) to get the normal vector:

n = <fx(1, 2), fy(1, 2)> = <2(1) - 6(2), 3(2)^2 - 6(1)> = <-10, 6>

So the equation of the plane tangent to the surface z = f(x, y) = x^2 + y^3 - 6xy at the point (1, 2, 3) is:

-10(x - 1) + 6(y - 2) + (z - 3) = 0

Simplifying, we get:

-10x + 6y + z - 5 = 0

So the equation of the plane tangent to the surface z = x^2 + y^3 - 6xy at the point (1, 2, 3) is -10x + 6y + z - 5 = 0

To learn more about Plane Tangent here:

https://brainly.com/question/13497504

#SPJ4

Answer:

f(x) = 5+2x

Step-by-step explanation:

Honestly not sure if this is right, but idk just try it?

And I found the answer cuz the 5 original pets plus 2 new ones each year, which is 5+2x

Answer:

(3,9)

Step-by-step explanation:

The input (x) is the number of sketchbooks purchased, output (y) is the cost.
I see two linear equations.

y= 1x

or

y= 3x

The latter equation illustrates the cost of sketchbooks.

Answer:

2x + 10

_______

x^3 - 4x

Step-by-step explanation:

this is the answer

The axis of symmetry of the equation f(x) = - 3x ^ 2 + 13x + 10 is

The axis of symmetry is calculated

= -b / 2a

The quadratic equation is an equation of the form

ax^2 + bx + c

Comparing the given equation f(x) = - 3x^2 + 13x + 10 with ax^2 + bx + c the values of the axis of symmetry is

x = -b / 2a

x = -13 / 2(-3)

x = -13 / -6

x = 13/6

Learn more on quadratic equations here:

https://brainly.com/question/29227857

#SPJ1

Answer: The answer is the milky way galaxy.

Step-by-step explanation: It is that answer because nothing is brighter than it.

Answer:

The Milky Way galaxy

Step-by-step explanation:

The equation e² - z = 0 has infinitely many solutions in C found using the concept of Hadamard's theorem.

Hadamard's theorem is a crucial theorem in complex analysis. It deals with the properties of holomorphic functions.

If f is an entire function, then Hadamard's theorem states that the number of zeroes of f in any disk of radius R around the origin is no greater than n * (log(R)+1) if f is of order n.

This theorem will help us to prove that the equation e² - z = 0 has infinitely many solutions in C.

Let's dive into it: We have the equation e² - z = 0. So we need to show that this equation has infinitely many solutions in C.

Now, assume that z₀ is a solution of this equation.

That is,e² - z₀ = 0

⇒ z₀ = e²

This implies that z₀ is a simple zero of the function

f(z) = e² - z.

Therefore, f(z) can be written as,

f(z) = (z - z₀)g(z),

where g(z₀) ≠ 0.

Now, we need to apply Hadamard's theorem. It says that the number of zeroes of f(z) in any disk of radius R around the origin is no greater than

n * (log(R)+1) if f(z) is of order n.

In our case, the function f(z) is of order 1 since e² has an essential singularity at infinity.

So we get the inequality,

n(R) ≤ 1*(log(R)+1)

⇒ n(R) = O(log(R)),  as R → ∞.

This implies that the number of zeroes of f(z) is infinite since the inequality holds for all values of R.

Therefore, we can conclude that the equation e² - z = 0 has infinite solutions in C.

Know more about the Hadamard's theorem.

https://brainly.com/question/32231452

#SPJ11

Answer:

Yes, they are equivalent

Step-by-step explanation:

15 months= 1.25 years

60/2.5= 24

30/1.25 = 24

Answer:

Step-by-step explanation:

Since 2.5 years equals 2.5(12)=30months you have

60cm/30mo and 30cm/15mo these are equivalent because (2/2)(30/15)=60/30

The two equations that represent circles with a diameter of 12 units and a center that lies on the y-axis are:

(x - 4)² + y² = 36

(x + 6)² + y² = 144

(x - 4)² + y² = 36:

This equation represents a circle with center (4, 0) since the x-coordinate of the center is 4, indicating it lies on the y-axis. The radius of this circle is √36 = 6 units. Therefore, it satisfies the given conditions.

(x + 6)² + y² = 144:

This equation represents a circle with center (-6, 0) since the x-coordinate of the center is -6, indicating it lies on the y-axis. The radius of this circle is √144 = 12 units. Hence, it also satisfies the given conditions.

x² + (y - 3)² = 36:

This equation represents a circle with center (0, 3) since the y-coordinate of the center is 3, indicating it does not lie on the y-axis. Therefore, it does not meet the given conditions.

x² + (y + 8)² = 36:

This equation represents a circle with center (0, -8) since the y-coordinate of the center is -8, indicating it does not lie on the y-axis. Thus, it does not fulfill the given conditions.

x² + (y - 5)² = 6:

This equation represents a circle with center (0, 5) since the y-coordinate of the center is 5, indicating it does not lie on the y-axis. Hence, it does not meet the given conditions.

Based on this analysis, the equations that represent circles with a diameter of 12 units and a center that lies on the y-axis are options 1 and 2:

(x - 4)² + y² = 36

(x + 6)² + y² = 144.

Learn more about circle here:

https://brainly.com/question/28162977

#SPJ8

Answer:

1 \(\frac{2}{3}\)

One and two thirds

Step-by-step explanation:

Divide the numerator by 3

Write down the whole number answer

Use the remainder as the new numerator over the denominator, which is the fraction part of the mixed number.

I hope this helps!!

The fraction 5/3 as a mixed number is  \(1\frac{2}{3}\).

To write the fraction 5/3 as a mixed number, we need to find the whole number and the proper fraction parts.

A mixed number is a combination of a whole number and a proper fraction (where the numerator is smaller than the denominator).

Divide the numerator (5) by the denominator (3).

5 ÷ 3 = 1 with a remainder of 2

The quotient (1) represents the whole number part, and the remainder (2) becomes the numerator of the proper fraction.

The denominator remains the same, which is 3.

Hence, the mixed number representation of 5/3 is \(1\frac{2}{3}\).

To learn more on Fractions click:

https://brainly.com/question/10354322

#SPJ6

Answer:

21.25 multiplied by 4, which is 85.   Final Answer : 85 centimeters long

Step-by-step explanation:

21.25 is the same as 21 1/4.

Answer:

Step-by-step explanation:

Answer:

I quite dont get the question do u mind putting something thats explains what u want

Step-by-step explanation:

Answer:

0

(I'm sorry if this is wrong.)

Answer:

Step-by-step explanation:

So in ratios you can mostly all of the time scale your answer. So by determining how much increase there is in the baby's thigh bone each week you can pretty much answer these questions.

keep in mind: Proportional means having the same ratio. A scale factor is the ratio of the model measurement to the actual measurement in simplest form.

Example from https://www.mathsisfun.com/numbers/ratio.html

A ratio says how much of one thing there is compared to another thing.

ratio 3:1

There are 3 blue squares to 1 yellow square

Ratios can be shown in different ways:

Use the ":" to separate the values:   3 : 1

Or we can use the word "to":   3 to 1

Or write it like a fraction:    31  

A ratio can be scaled up:

ratio 3:1 is also 6:2

Here the ratio is also 3 blue squares to 1 yellow square,

even though there are more squares.

Answer:

453.5

Step-by-step explanation:

∑ Hey, jillianwagler ⊃

Answer:

643

Step-by-step explanation:

Given:

\(\mathrm{3x- \frac{x}{2} +4y 2y^3}\)

\(\mathrm{x=-2\;and\;y=3}\)

Solve:

Substitute x = - 2 and y = 3

\(3\left(-2\right)-\frac{-2}{2}+4\left(3\right)\cdot \:2\left(3\right)^3\)

\(\mathrm{Simplify \frac{-2}{2}:1}\)

\(=3\left(-2\right)-\left(-1\right)+4\cdot \:3\cdot \:2\cdot \:3^3\)

Following the PEMDAS:

\(\mathrm{3^3:27}\)

\(=3\left(-2\right)-\left(-1\right)+4\cdot \:3\cdot \:2\cdot \:27\)

Multiply :

\(=-6-\left(-1\right)+4\cdot \:3\cdot \:2\cdot \:27\)

\(=-6-\left(-1\right)+648\)

Adding and Subtracting:

\(=643\)

xcookiex12

8/19/2022

Answer:

The area will be:

\(A=18(1+\sqrt{3}) \: u^{2}\) or \(A=49.18 \: u^{2}\).

Step-by-step explanation:

Using the definition of tangent, we have:

\(tan(\alpha)=\frac{6}{\vec{AB}}\)

We know that tan(α) = 1, then we can find AB

\(1=\frac{6}{\vec{AB}}\)

\(\bar{AB}=6\: u\)

u means any unit.

Now, we need to find the distance BC. If the angle ∠D is 60°, then ∠C must be 30°. Using the tangent definition in the triangle BCD we have:

\(tan(30)=\frac{6}{\bar{BC}}\)

\(\bar{BC}=\frac{6}{tan(30)}\)

\(\bar{BC}=\frac{6}{1/\sqrt{3}}\)

\(\bar{BC}=6\sqrt{3} \: u\)

So, the base of the triangle will be:

\(b=\bar{AB}+\bar{BC}=6+6\sqrt{3}=6(1+\sqrt{3}) \: u\)

The area of a triangle is given by the following equation:

\(A=\frac{b*h}{2}\)

\(A=\frac{6(1+\sqrt{3})*6}{2}\)

\(A=18(1+\sqrt{3})\)

Therefore, the area will be \(A=49.18 \: u^{2}\).

I hope it helps you!

Answer:

Yes

Step-by-step explanation:

Yes it is a function.

Answer:

3/10

Their favourite is pizza

Step-by-step explanation:

30% = 30/100

simplified is 3/10

Answer:

3/10

Step-by-step explanation:

1. 30%=3/10

2. The schools favorite lunch is pizza

Answer:

Step-by-step explanation:

Writing Algebraic Expressions

Writing Algebraic Expressions

Group workProblem: Ms. Jensen likes to divide her class into groups of 2. Use mathematical symbols to represent all the students in her class.

Solution: Let g represent the number of groups in Ms. Jensen's class.

Then 2 · g, or 2g can represent "g groups of 2 students".

In the problem above, the variable g represents the number of groups in Ms. Jensen's class. A variable is a symbol used to represent a number in an expression or an equation. The value of this number can vary (change). Let's look at an example in which we use a variable.

Example 1: Write each phrase as a mathematical expression.

Phrase Expression

the sum of nine and eight 9 + 8

the sum of nine and a number x 9 + x

The expression 9 + 8 represents a single number (17). This expression is a numerical expression, (also called an arithmetic expression). The expression 9 + x represents a value that can change. If x is 2, then the expression 9 + x has a value of 11. If x is 6, then the expression has a value of 15. So 9 + x is an algebraic expression. In the next few examples, we will be working solely with algebraic expressions.

Example 2: Write each phrase as an algebraic expression.

Phrase Expression

nine increased by a number x 9 + x

fourteen decreased by a number p 14 - p

seven less than a number t t - 7

the product of 9 and a number n 9 · n   or   9n

thirty-two divided by a number y 32 ÷ y   or    

In Example 2, each algebraic expression consisted of one number, one operation and one variable. Let's look at an example in which the expression consists of more than one number and/or operation.

Example 3: Write each phrase as an algebraic expression using the variable n.

Phrase Expression

five more than twice a number 2n + 5

the product of a number and 6 6n

seven divided by twice a number 7 ÷ 2n   or    

three times a number decreased by 11 3n - 11

bonusExample 4: A small company has $1000 to distribute to its employees as a bonus. How much money will each employee get?

Solution: Let e represent the number of employees in the company. The amount of money each employee will get is represented by the following algebraic expression:

electricianExample 5: An electrician charges $45 per hour and spends $20 a day on gasoline. Write an algebraic expression to represent his earnings for one day.

Solution: Let x represent the number of hours the electrician works in one day. The electrician's earnings can be represented by the following algebraic expression:

Solution: 45x - 20