prove that 2✓3 is an irrational number .​

Answer:

262144

Step-by-step explanation:

its exponents

So we all know the FORMULA for a sphere is v=4/3 x π x r^3

So, now we SUBSTITUTE ,V=4/3 x π x 7^

This leaves us with the answer of 1436.76 ft ^2 maybe?

(hope this is correct!)

The vertex form of the equation is y = (x - 3)² - 4, which corresponds to option OD.

To convert the given equation from standard form to vertex form, we need to complete the square.

The vertex form of a parabola's equation is y = a(x-h)² + k, where (h, k) represents the vertex of the parabola.

Given equation: y = x² - 6x + 14

Move the constant term to the right side:

y - 14 = x² - 6x

Complete the square by adding and subtracting the square of half the coefficient of x:

y - 14 + 9 = x² - 6x + 9 - 9

Group the terms and factor the quadratic:

(y - 5) = (x² - 6x + 9) - 9

Rewrite the quadratic as a perfect square:

(y - 5) = (x - 3)² - 9

Simplify the equation:

y - 5 = (x - 3)² - 9

Move the constant term to the right side:

y = (x - 3)² - 9 + 5

Combine the constants:

y = (x - 3)² - 4

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parallel option a

its parallel to each other

Answer:

6/9 because if you multiply 2/3times 3 its 6/9 which when simplified is 2/3

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input.

The collection of all potential inputs for a function is its domain. For instance, the domain of f(x)=x2 and g(x)=1/x are all real integers with the exception of x=0.

Think about the function y = f. (x). The range of the function is the range of all the y values, from least to maximum. Substitute all possible values of x into the provided expression of y to see whether it is positive, negative, or equal to other values.

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Answer:

It should be 40

Step-by-step explanation:I took the test

Answer:

40:)

Step-by-step explanation:

Answer:

its increasing by 12

Step-by-step explanation:

Just count upward

Hello there. To graph this function, the best way is to find two points that are into the line and then pass a line through them.

Since the image of a line is all the real numbers, we can pick any point for x and find y that satisfy it.

Starting with x = 0, we have that f(0) = -3 * 0 + 4 = 4.

So the point (0, 4) is in the line.

Now, making x = 1, we have that f(1) = -3 * 1 + 4 = -3 + 4 = 1

So the point (1, 1) is in the line.

Graphing the function, we have:

This is the graph of this function.

Answer:

34 degrees is the third side

Step-by-step explanation:

a triangle's angles measure to be 180, so take 180 and subtract 99 and 47 which would leave you with 34

Answer:$917.58.

Step-by-step explanation:

The formula for compound interest is A = P(1 + r/n)^(nt) where A is the final amount, P is the principal (initial deposit), r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the number of years.

In this case, the initial deposit is $500, the annual interest rate is 4%, the number of times compounded per year is 12 (monthly), and the number of years is 12.

So, we can plug in the values into the formula:

A = $500(1 + 0.04/12)^(12*12) = $500(1.003333333)^(144) = $500(1.835170816) = $917.585

The final amount in her account after 12 years is $917.58

To round to the nearest cent, we can use the following method:

If the digit in the thousandths place is less than 5, we keep the hundredths digit as is.

If the digit in the thousandths place is greater than 5, we round up the hundredths digit.

In this case the digit in the thousandths is 5 so, we have to round up the hundredths digit of $917.58.

So, the final amount in her account after 12 years is $917.59.

Answer: $800.516

Step-by-step explanation:

We use the equation

A = P(1 + )^nt

P = principal

r = rate of interest

t = times

Now let's solve

P = $500

r = 4% = 0.04

t = 12 years

A = $500(1 +\(\frac{0.04}{12}\) ) ^12 = $800.516

The answer is d. 27 is not a correct answer as it is much smaller than the required sample size of 271.

To create a 90% confidence interval estimate for a population mean with a width of no more than 1 unit, we need to find the sample size required to achieve this level of precision.

Using the formula for the margin of error of a confidence interval, we have

Margin of Error = z* (σ / sqrt(n))

where z* is the critical value from the standard normal distribution corresponding to a 90% confidence level, σ is the population standard deviation (given as 10), and n is the sample size.

We want the margin of error to be no more than 1 unit, so we can write

1 = z* (σ / sqrt(n))

Solving for n, we get

n = (z* σ / 1)^2

Using a standard normal distribution table or calculator, we can find that the critical value z* corresponding to a 90% confidence level is approximately 1.645. Substituting this value and the given population standard deviation into the formula for n, we get

n = (1.645 * 10 / 1)^2 = 270.25

Rounding up to the nearest integer, we get n = 271. Therefore, the answer is d. 27 is not a correct answer as it is much smaller than the required sample size of 271.

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Answer:

It is linear pair

U can find Angle 'b' by using straight angle property

Answer:

131 degrees

Step-by-step explanation:

If a line intersects another line and one degree is given, then the other degree is 180-the other degree (180-49) which is 131 degrees

The solutions to the equation 3x^2 - 9x - 12 = 0 are x = 4 and x = -1.

To solve the quadratic equation 3x^2 - 9x - 12 = 0, we can use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a),

where a, b, and c are the coefficients of the quadratic equation.

In this case, a = 3, b = -9, and c = -12. Substituting these values into the quadratic formula, we have:

x = (-(-9) ± √((-9)^2 - 4 * 3 * (-12))) / (2 * 3)

= (9 ± √(81 + 144)) / 6

= (9 ± √(225)) / 6

= (9 ± 15) / 6.

We have two possible solutions:

For the positive root:

x = (9 + 15) / 6

= 24 / 6

= 4.

For the negative root:

x = (9 - 15) / 6

= -6 / 6

= -1.

The solutions to the equation 3x^2 - 9x - 12 = 0 are x = 4 and x = -1.

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a. The Taylors may want to avail themselves of the help of a professional investment advisor.

b. They may prefer to find a reputable planner with appropriate credentials and experience

c,.  The Taylors should track their expenses more closely because overspending without replacement income can be disastrous

Because successfully managing a large investment portfolio takes a great deal of time and​ knowledge, the Taylors may want to avail themselves of the help of a professional investment advisor.

2) They may prefer to find a reputable planner with appropriate credentials and experience. It will be important for them to shop around to find someone with whom they feel comfortable. A​ fee-only planner might be the best​ choice, especially if their current investments are doing well and the Taylors are not interested in making big changes that would generate​ sales, and​ commissions, for the planner

e) Whether or not Tim and Jill continue to work with a financial planner depends on their financial​ knowledge, time and commitment. Given their​ successful, independent, management of their financial situation to​ date, they may want to develop their own plan and have it reviewed by a planner as confirmation that they are on the right track.

f) The Taylors should track their expenses more closely because overspending without replacement income can be disastrous. In the event of an unexpectedly bad financial situation or a long downturn in the​ economy, they would not have the time or resources to rectify their misfortune and achieve their goals.

Their big five expenses are likely to be the same as the average U.S. household​ - taxes,​ food, housing, medical care and transportation. Most retirement benefits will be​ taxable, as will other investment earnings. Depending on the age of the house or​ appliances, repairs or replacements may be necessary.

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Answer:

N + D = 175

.05N + .10D = $13.30

Step-by-step explanation:

You need a system of equations to get the correct answer that applies to both constraints.

Answer:

3

Step-by-step explanation:

Simple interest earned on the principal amount $10,000 for 5 years at 4% interest per year will be $12,000.

As given in the question,

Simple Interest:

The simple interest is an amount that is paid for loan or borrowed money over a certain period at a fixed percentage of borrowed money.

Principal amount:

Principal amount is the money that is taken as loan or borrowed.

Formula of Simple Interest:

Simple interest = Principal amount × Rate × Time

Since,

Principal amount = $10,000

Rate = 4% per year

Time = 5 years

Then,

Simple interest = 10,000 × 4 × 5

Simple interest = $ 12000

Total value after 5 years = $ 12000

Principal amount = $ 10000

Interest Earned = (Total value) - (Principal amount)

Interest Earned = $ 12000 - $ 10000

Interest Earned = $ 2000

Therefore, simple interest earned on the principal amount $10,000 for 5 years at 4% interest per year will be $12,000.

The complete question is:

Fabian is taking out a loan in the amount of $10,000. His choices for the loan are a 5-year loan at 4% rate of interest .What is the amount of simple interest and interest earned Fabian would have to pay?

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Two samples can have the same mean but different standard deviations if one sample has more variability than the other. For example, one sample may have data points that are tightly clustered around the mean, while the other sample may have data points that are more spread out.

This can result in the same mean value for both samples, but different levels of variability.

Here's an example bar graph to illustrate this concept:

     Sample 1                Sample 2

 ╭────────────────╮   ╭────────────────╮

 │      Mean      │   │      Mean      │

 ├────────────────┤   ├────────────────┤

 │                │   │    ╭─╮         │

 │                │   │    │ │         │

 │                │   │    │ │         │

 │                │   │    ╰─╯         │

 │     o o o      │   │  o o o o o o  │

 │                │   │                │

 │                │   │                │

 │                │   │                │

 ╰────────────────╯   ╰────────────────╯

     Std. Dev.            Std. Dev.

In this example, both Sample 1 and Sample 2 have a mean value of 5. However, Sample 1 has lower variability with a standard deviation of 1, while Sample 2 has higher variability with a standard deviation of 3. The error bars on the graph represent the standard deviation for each sample.

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The proportional relationship between the price and quantity of ears of corn can be represented using a table or a graph, showing how the price and quantity vary in a consistent manner.

One way to represent the proportional relationship between the price and quantity of ears of corn is by using a table:

Price (in dollars) Quantity (in ears of corn)

             2             5

             4             10

This table shows the corresponding values of the price and quantity.

As we can observe, when the price is $2, the quantity is 5 ears of corn, and when the price is $4, the quantity is 10 ears of corn.

The relationship is proportional because as the price doubles, the quantity also doubles.

Another representation of this proportional relationship is through a graph.

We can plot the points (2, 5) and (4, 10) on a coordinate plane, where the x-axis represents the price and the y-axis represents the quantity.

By connecting these two points with a straight line, we can visualize the proportional relationship.

The line will pass through the origin (0, 0) since zero price corresponds to zero quantity.

The slope of the line will indicate the rate of change between price and quantity.

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Therefore, to make the game fair, you should earn a profit of $3 when you win.

To determine the profit you should earn when you win in order for the game to be fair, we need to consider the overall expected value.

In this gambling game, you win 25% of the time and lose 75% of the time. Let's assume that when you win, you earn a profit of P dollars. When you lose, you lose $1.

The expected value can be calculated as follows:

Expected Value = (Probability of Winning * Profit) + (Probability of Losing * Loss)

Since the game should be fair, the expected value should equal zero. Thus, we can set up the equation:

0 = (0.25 * P) + (0.75 * (-1))

Simplifying the equation:

0 = 0.25P - 0.75

0.75 = 0.25P

P = 0.75 / 0.25

P = 3

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The influence of a small alpha level in the context of hypothesis testing is:

c. A small alpha level reduces the likelihood of a Type I error.

A hypothesis known as the null hypothesis states that sample observations are the result of chance.

The correct statement regarding the influence of a small alpha level in the context of hypothesis testing is:

c. A small alpha level reduces the likelihood of a Type I error.

A small alpha level (typically denoted as α) is the significance level used in hypothesis testing to determine the threshold for rejecting the null hypothesis. By setting a small alpha level, such as 0.01 or 0.05, we are reducing the probability of making a Type I error, which is the incorrect rejection of a true null hypothesis.

In other words, a small alpha level provides a stricter criterion for rejecting the null hypothesis, making it less likely to reject the null hypothesis when it is true. This reduces the likelihood of claiming a significant result when there is no true effect or relationship in the population.

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Answer:

i got 6.6? maybe that helps (:

Answer: 623 /18

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

because I did calculating and used a calculator

Answer:

125

Step-by-step explanation:

When you put 90 into 125 it is 72% of the number.

The measure of angle EDF is 140°, and the measure of angle HDE is 160°.

Given the parallel lines DF || EH, DR || ZEG, and alternate interior angles, we can determine some of the missing angles as explained below:When two parallel lines are intersected by a transversal line, they form eight angles, four on the top and four on the bottom. The four on top are the exterior angles, and the four on the bottom are the interior angles. Interior angles have two types; Alternate Interior Angles and Corresponding Angles.Alternate Interior Angles are opposite angles on opposite sides of the transversal, but on the inside of the parallel lines. They are equal in measure, as long as the parallel lines are cut by a transversal.

The alternate interior angles for the two parallel lines DF || EH and DR || ZEG are as shown in the diagram below:Parallel linesDF || EH and DR || ZEGAlternate interior anglesAs we can see in the diagram above, the alternate interior angles are congruent. Therefore, we can find the missing angle values by applying the alternate interior angles property. Let us consider the triangles below:triangleDEG and triangleDFHAngle EDF is the exterior angle of triangleDEG,Angle HDE is the exterior angle of triangleDFHBy applying the Exterior Angle Theorem, we know that the measure of an exterior angle of a triangle is equal to the sum of its remote interior angles.

in triangleDEG:Angle EDF = Angle EGD + Angle GDEAngle EDF = 80 + 60Angle EDF = 140°In triangleDFH:Angle HDE = Angle DHF + Angle DAFAngle HDE = 120 + 40Angle HDE = 160°

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Answer:

Hola.

El area de un cuadrado se obtiene con la formula

Area = L²

Siendo L la medida de uno de los lados  

Si tenemos el valor del area, usamos la formula para obtener el lado

7056 m² = L²      / aplicamos √

√7056 m²= √L²  

L = 84 m

R.- Cada lado mide 84 m

Un cordial saludo

Step-by-step explanation:

You need to square 7056 thats what the m2 is for.

Expression to represent total amount Elijah will have in both accounts after two weeks is 60w + 973

An expression or algebraic expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them.

Given,

Elijah opened a checking account with $588 and deposits $25 into it every week.

Expression for the amount in w weeks = 25w + 588

He opened another checking account with $385 and deposits $35 into it every week.

Expression for the amount in w weeks = 35w + 385

Total amount in both bank accounts in w weeks

= 25w + 588 + 35w + 385

Adding like terms

= 60w + 973.

Hence, expression, 60w + 973 represents the amount Elijah will have in both accounts after w weeks.

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