What is the square root of 30 in simplified form?

square root of 5
square root of 3
it can't be simplified.
square root of 3

The amounts that each people will get of the $140 are given as follows Peter gets $37.60,John gets $75.20 and Joseph gets $​67.20.

Variable x: amount that Peter gets.

Variable y: amount that John gets.

Variable z: amount that Joseph gets.

In total, they are given $140, hence:

x + y + z = 140.

John gets two times as much as Peter, hence:

y = 2x.

Joseph will have $8 less than John, hence:

z = y - 8.

z = 2x - 8.

x + y + z = 140.

x + 2x + 2x - 8 = 180

5x = 188

x = 188/5

x = $37.60.

y = 2x = 2(37.60) = $75.20.

The amount that Joseph gets is calculated as follows:

z = y - 8 = 75.20 - 8 = $67.20.

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The amounts that each people will get of the $140 are given as follows Peter gets $37.60,John gets $75.20 and Joseph gets $​67.20.

The amounts for each people are obtained using a system of equations, for which the variables are given as follows:

Variable x: amount that Peter gets.

Variable y: amount that John gets.

Variable z: amount that Joseph gets.

In total, they are given $140, hence:

x + y + z = 140.

John gets two times as much as Peter, hence:

y = 2x.

Joseph will have $8 less than John, hence:

z = y - 8.

z = 2x - 8.

Then the last two expression can be replaced into the first equation to obtain the amount that Peter gets, as follows:

x + y + z = 140.

x + 2x + 2x - 8 = 180

5x = 188

x = 188/5

x = $37.60.

Then the amount that John gets is given as follows:

y = 2x = 2(37.60) = $75.20.

The amount that Joseph gets is calculated as follows:

z = y - 8 = 75.20 - 8 = $67.20.

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Answer:

y = 4x - 3

Step-by-step explanation:

slope - intercept form is: y = m*x + b, where m is slope and b is the y intercept.

Answer:

y=1/1

Step-by-step explanation:

In order to know if a triangle is a right triangle on a coordinate plane, you can find the lengths of all three sides of the triangle using the distance formula and apply the Pythagorean theorem.

Find the lengths of the three sides of the triangle using the distance formula.

Once you have the lengths of the sides, check if any of the three sides satisfy the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In other words, if a² + b² = c², where c is the longest side, then the triangle is a right triangle.

If one of the sides satisfies the Pythagorean theorem, then the triangle is a right triangle.

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Yes, you can perform row echelon form on a calculator. Most scientific or graphing calculators have a built-in matrix function that can perform row operations and row echelon form.

To do row echelon form on a calculator, you typically input the matrix, perform row operations to simplify the matrix, and then the calculator outputs the row echelon form of the matrix. The row echelon form of a matrix has the following properties:

The first non-zero element in each row is called a leading 1, and is to the right of the leading 1 in the previous row.

Each leading 1 is the only non-zero element in its column.

All elements above and below a leading 1 are 0.

By using the row echelon form of a matrix, you can quickly determine the solutions to a system of linear equations represented by the matrix. This makes it a valuable tool for solving linear algebra problems.

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Step-by-step explanation:

do you mean --8 plus 31

Answer:

B

Step-by-step explanation:

Answer:

B. \(\frac{x^2}{3^2} +\frac{y^3}{2^2} =1\)

Step-by-step explanation:

Answer: x = -1 , y = -1

B. 2 and OD. 15 are not possible lengths for the third side of the triangle.

To determine the possible values for the length of the third side of a triangle, we need to consider the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Given that two sides have lengths 6 and 9, we can analyze the possibilities:

6 + 9 > x

x > 15 - The sum of the two known sides is greater than any possible third side.

6 + x > 9

x > 3 - The length of the unknown side must be greater than the difference between the two known sides.

9 + x > 6

x > -3 - Since the length of a side cannot be negative, this inequality is always satisfied.

Based on the analysis, the possible values for the length of the third side are:

A. 7

C. 4

□E. 10

O F. 12

B. 2 and OD. 15 are not possible lengths for the third side of the triangle.

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Answer:

First one is yes

Second one is no

Third one is yes

Fourth one is no

Fifth one is yes

Step-by-step explanation:

An integer is a whole number, it can be negative or positive. If it’s shown as a fraction like the first question, (-18/2), you can simplify it to be -9. If the fraction cannot be simplified, it is not an integer.

Answer:

Step-by-step explanation:

Integers are whole numbers: They ARE NOT fractions.

-18/2 = -9 = Whole # = INTEGER

4.4 = Fraction/Decimal = NOT INTEGER

-15 = Whole # = INTEGER

7/13 = Fraction = NOT INTEGER

9 = Whole # = INTEGER

Answer:

29/24 or 1 5/24

Step-by-step explanation:

5/8 + 7/12

~Have common denominators

15/24 + 14/24

~Add

29/24

Best of Luck~

If delta and united flights are not equally on time, then the chance that we see a sample statistic of not equally or any statistic (larger or smaller) is larger, 0.05.

This is because the probability of a sample statistic being either larger or smaller (relative to the population) is always greater than the probability of it being equal. The p-value of 0.05 indicates that there is a 5% probability that the difference in on-time performance between Delta and United flights is due to chance.

The p-value of 0.05 indicates that there is a 5% chance that the observed sample statistic (of being larger or smaller than expected) is due to chance alone.

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The complete question is:

Complete the interpretation for the p-value:

If delta and united flights are (equally, not equally) on time, then the chance that we see a sample statistic of ______ or any statistic (larger, smaller) is _______ .

Answer:

It is increasing from -1 to 1.

It is decreasing from negative infinity to -1, then decreases again from 1 to positive infinity.

The centroid of the region lying between the graphs of the functions y = 4x¹ and y = 4 - x over the interval [2, 4] is (1.25, 1).

The given functions are:y = 4x¹y = 4 - x. The graph of the functions is shown below: Graph of the functions

The region enclosed between the two functions y = 4x¹ and y = 4 - x over the interval [2, 4] is shown below:

Region enclosed between the two functions

The area of the region can be calculated by finding the integral of the function f(x) = 4 - x - 4x¹ over the interval [2, 4].

Hence, the area can be calculated as follows:

∫[2, 4] (4 - x - 4x¹) dx

= 2[(4 - 4x¹) - 0.5x²]4[(4 - 4x¹) - 0.5x²]∫[2, 4] (4 - x - 4x¹) dx

= 8 - 4 + 16 - 16 = 4

The x-coordinate of the centroid can be calculated by using the formula given below:

$$\bar{x} = \frac{\int_a^b {x.f(x)\,dx}}{\int_a^b {f(x)\,dx}}$$

The value of x can be calculated as follows:

$$\begin{aligned}&\int_2^4 {x\left( {4 - x - 4{x^1}} \right)\,dx}\\ =& - 10\end{aligned}$$

The value of y can be calculated as follows:

$$\begin{aligned}&\int_2^4 {\left( {4 - x - 4{x^1}} \right)\,dx}\\ =& 4\end{aligned}$$

Thus, the centroid of the region is at ($$\bar{x}$$, $$\bar{y}$$)

= (1.25, 4/4)

= (1.25, 1).

Therefore, the centroid of the region lying between the graphs of the functions y = 4x¹ and y = 4 - x over the interval [2, 4] is (1.25, 1).

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Answer:

4

Step-by-step explanation:

The Author - Shakespeare introduces the theme of unrequited love by indicating the refusal of Olivia regarding Duke Orsino's affections.

The play opens with the Duke listening trying to drown his feeling with music. He so openly and unashamedly professes his love for one whose consent he had yet to gauge or decipher.

The bouts of refusal begins with Valentines message declining him from delivering the Dukes message.

Answer:

Step-by-step explanation:

so we are told that he deposited 7/9 of  his money.  that mean the remaining is  2/9.   because 9/9 - 7/9 = 2/9   get it?

we are also told that 2.50 = 2/9 of his pay

so use that info to find the total pay

also using my calculator tells me that 2/9 = 0.22222222222222222222

knowing that,  we can divide 2.50 by 0.222222222222

2.50 / 0.2222222222  = 11.25

we now know that  2.50 is 0.222 of  11.25

if you want to check your answer just multiply 11.25 x .222222222  to see if you get 2.50

Do you understand?

Answer:

1. -1/2x+ 11.5

2. -1/3x-8.7

Step-by-step explanation:

Answer:

Step-by-step explanation:

The price per T-shirt should be at least $15 to achieve a profit of $250.

To calculate the price per T-shirt that will yield a profit of at least $250, we need to consider the cost of production, the desired profit, and the number of shirts to be sold.

Given that the cost to make each T-shirt is $10, and we want to sell 50 shirts, the total cost of production would be 10 * 50 = $500.

Now, let's calculate the minimum revenue needed to achieve a profit of $250. We add the desired profit to the total cost of production: $500 + $250 = $750.

Finally, to determine the price per T-shirt, we divide the total revenue by the number of shirts: $750 ÷ 50 = $15.

Therefore, to make a profit of at least $250, the price per T-shirt should be set at $15.

By selling each T-shirt for $15, the total revenue would be $15 * 50 = $750. From this revenue, we subtract the total production cost of $500 to calculate the profit, which amounts to $750 - $500 = $250. Thus, by charging $15 per T-shirt, the desired profit of $250 is achieved.

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Answer:

5+40x

Step-by-step explanation:

I hope this helps. Best of luck.

Answer:

-11 times by -6x

Step-by-step explanation:

Answer:

60%

Step-by-step explanation:

I hopes this helps.

Answer:

-2

Step-by-step explanation:

Given :

Solving :

Answer:

-2

Step-by-step explanation:

Given expression: -k - k

Combine like terms and simplify:

⇒ -k - k

⇒ -(k + k)

⇒ -(2k) = -2k

Determining the constant:

The constant of the term MUST be an integer. It CANNOT be a variable. In this case, the only constant that is a cooeficient of k is -2.

Thus, the cooeficient of -k−k is -2.

Answer:

To solve this problem you must apply the procedure shown below:

1. You have that ladder measures 10 foot and forms and angle of 70 degrees with the ground.

2. Therefore, you have:

Sinα=opposite/hypotenuse

α=70°

opposite=x

hypotenuse=10

3. When you substitute the values, you obtain:

Sin(70°)=x/10

4. Now, solve for x, as following:

x=(10)(Sin(70°)

x=9.39 feet

Therefore, the answer is: 9.39 feet.

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

x = 10.6

i just used the pythagorean theorem, you can copy my work.

Answer:

The fact that a corporation has limited liability means that the owners or shareholders of the corporation are not personally responsible for the debts or obligations of the corporation beyond the amount of their investment. In other words, the liability of the owners or shareholders is limited to the amount of money they have invested in the corporation. This is one of the key advantages of forming a corporation, as it provides a level of protection for the owners or shareholders in the event that the corporation incurs significant debts or is sued for damages.

Answer:

see explanation

Step-by-step explanation:

Using the rule of radicals

\(\sqrt{a}\) × \(\sqrt{b}\) ⇔ \(\sqrt{ab}\)

Given

(2 - 5\(\sqrt{8}\) )(4 - 6\(\sqrt{3}\) )

Each term in the second factor is multiplied by each term in the first factor, that is

2(4 - 6\(\sqrt{3}\) ) - 5\(\sqrt{8}\)(4 - 6\(\sqrt{3}\) ) ← distribute both parenthesis

= 8 - 12\(\sqrt{3}\) - 20\(\sqrt{8}\) + 30\(\sqrt{24}\) → *

Simplify \(\sqrt{8}\) and \(\sqrt{24}\)

\(\sqrt{8}\) = \(\sqrt{4(2)}\) = \(\sqrt{4}\) × \(\sqrt{2}\) = 2\(\sqrt{2}\)

\(\sqrt{24}\) = \(\sqrt{4(6)}\) = \(\sqrt{4}\) × \(\sqrt{6}\) = 2\(\sqrt{6}\)

Back to *

= 8 - 12\(\sqrt{3}\) - 20(2\(\sqrt{2}\) ) + 30(2\(\sqrt{6}\) )

= 8 - 12\(\sqrt{3}\) - 40\(\sqrt{2}\) + 60\(\sqrt{6}\)

If z = f(x, y), where f is differentiable, and the following applies,  dz/dt when t = 4 is 10.

To find dz/dt, we can use the chain rule of differentiation. The chain rule states that if z = f(x, y) and x = g(t), y = h(t), then dz/dt = (∂z/∂x)(dx/dt) + (∂z/∂y)(dy/dt).

x = g(t), y = h(t), g(4) = 3, h(4) = 5

g'(4) = 3, h'(4) = -8

f_x(3, 5) = -2, f_y(3, 5) = -2

t = 4

We can substitute these values into the chain rule formula:

dz/dt = f_x(3, 5) * g'(4) + f_y(3, 5) * h'(4)

Substituting the given values:

dz/dt = (-2) * (3) + (-2) * (-8)

dz/dt = -6 + 16

dz/dt = 10

Therefore, when t = 4, dz/dt = 10.

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