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Answer:

Square root of 12

Square root of 20

Step-by-step explanation:

An irrational number contains an infinite decimal.

All other numbers are perfect squares, resulting in whole numbers.

The square root of 9 is 3 because 3 × 3 = 9.

The square root of 12 is 3.464....

The square root of 16 is 4.

The square root of 20 is 4.472....

The square root of 25 is 5.

Answer:

I would use the "quotient rule of exponents"

Step-by-step explanation:

I would use the "quotient rule of exponents" which states that to divide two exponents that have the same base, the result is the same base to an exponent which equals the subtraction of the exponent in the numerator of the original expression minus the exponent that base has in the denominator.

That is:

\(\frac{a^m}{a^n} =a^{m-n}\)

Then in this case the simplified expression would be:

\(\frac{3^{10}}{3^4} =3^{10-4}=3^6\)

Answer: quotient of powers

Step-by-step explanation:

(first base + second base)x height ÷ 2

Answer:

The slope is 6

Step-by-step explanation:

f(x)=2(3x-7)

Distribute the 2

f(x)=2*3x-2*7

f(x) = 6x -14

This is in slope intercept form

y = mx+b  where m is the slope and b is the y intercept

The slope is 6 and the y intercept is -14

The slope is 6

Answer:

the  muffins put on each plate is 9

Step-by-step explanation:

The computation of the muffins put on each plate is shown below:

= Total muffins ÷ Total number of plates

= 36 ÷  4

=  9 muffins on each plate

hence, the  muffins put on each plate is 9

The probability that 6 lands face up at least once in the five rolls of a fair die is 0.4643 or 46.43%.

First of all, let's find out the total number of outcomes possible when a fair die is rolled 5 times.

The number of possible outcomes for a single roll of a die is 6.

Thus, the total number of outcomes possible for 5 rolls of a die will be \(6^5 = 7776.\)

Next, let's find out the number of outcomes in which no 6 lands face up.

The probability of not getting a 6 in a single roll is 5/6 (since there are 5 faces other than 6 on the die).

Thus, the probability of not getting a 6 in any of the 5 rolls is\((5/6)^5\).

So, the number of outcomes in which no 6 lands face up will be: \(7776 x (5/6)^5 = 4165.08\)

Now, let's find out the number of outcomes in which at least one 6 lands face up.

This will be the total number of outcomes minus the number of outcomes in which no 6 lands face up.

So, the number of outcomes in which at least one 6 lands face up will be:

7776 - 4165.08 = 3610.92.

Thus, the probability of getting at least one 6 in 5 rolls of a die will be:

3610.92/7776 = 0.4643 (rounded to 4 decimal places).

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Answer:

The answer is

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

\(M = ( \frac{x_1 + x_2}{2} , \: \frac{y_1 + y_2}{2} ) \\\)

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(1,6) and (9,-10)

The midpoint is

\(M = ( \frac{1 + 9}{2} \: , \: \frac{6 - 10}{2} ) \\ = ( \frac{10}{2} \: , \: - \frac{4}{2} )\)

We have the final answer as

Hope this helps you

Answer:

Step-by-step explanation:

there are several ways. if u have angels use cos or sin therom. if u have a 90 degree angle use The Pythagorean Theorem. send it completely

Answer:

Before one can solve for the width of a rectangle(the value of the area or perimeter must be given and the length)

Using the area

Length = l

Width =w

Area = a

a = l × w ; a = lw

w = a/l

using perimeter(p)

p = 2(l+w)

p/2 = l+w

p/2 - l = w

w = p/2 -l

Answer:

One solution

Step-by-step explanation:

Answer:

One solution

Step-by-step explanation:

X is equal to 7 and will only be equal to 7 which is why you only have one solution,

An equation that can be used to find the length of the scarf in inches, y, with a number of rows is: A. y = 2/5(x).

In Mathematics and Geometry, a proportional relationship refers to a type of relationship that produces equivalent ratios and it can be modeled or represented by the following mathematical equation:

y = kx

Where:

Next, we would determine the constant of proportionality (k) by using various data points as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = 4/10 = 6/15

Constant of proportionality, k = 2/5.

Therefore, the required linear equation is given by;

y = kx

y = 2/5(x)

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The formula for the area of the shapes in:

8e). A = a[√(x² + a²)]

8f). A = a² - a[√[(2b)² - a²]]/4

Shape in 8e is a triangle and the height is derived using Pythagoras rule as;

triangle height = √(x² + a²)

Area of the triangle = 1/2 × 2a × √(x² + a²)

Area of the triangle = a[√(x² + a²)]

The shape in 8f is observed to be a triangle area cut out from a square area, thus;

Area of the square = a²

The triangle height = √[(b² - (a/2)²]

triangle height = √[(2b)² - a²]

Area of the triangle = 1/2 × a × √[(2b)² - a²]

Area of the triangle = a[√[(2b)² - a²]]/4

Area for the 8f shape = a² - a[√[(2b)² - a²]]/4

Therefore, the formula for the area of the shapes in:

8e). A = a[√(x² + a²)]

8f). A = a² - a[√[(2b)² - a²]]/4

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Answer:

The 12 ounce cup

Step-by-step explanation:

Just divide the cup size with its price and the lowest number is the best deal

Answer:

sqrt 5 = 2.23606798

Step-by-step explanation:

Thank you for telling us the 2 is squared that really helps!

x^2 - 5 = 0

(add 5 both sides)

x^2 = 5

(sqrt both sides) (sqrt stands for square root)

x = sqrt 5

(Usally they just want sqrt 5 as an answer but if they want decimals its)

x = 2.23606798

Answer:

x=\(\sqrt{5}\)

Step-by-step explanation:

f(x)=\(x^{2}\)-5

\(x^{2}\)-5=0

Add 5 to both sides.

\(x^{2}\)=5

To get rid of the square of x, put the square root thingie so that it will cancel out. BTW, if you put it on one side, you have to put it on the other side.

\(\sqrt{x^{2} }\)=\(\sqrt{5}\)

x=\(\sqrt{5}\)

Hope this helps! Plz give brainliest!

Answer:

576 miles per 16 gallons

Step-by-step explanation:

Step 1:

360 ÷ 10

Step 2:

36 miles per gallon

Step 3:

36 × 16

Answer:

576 miles per 16 gallons

Hope This Helps :)

Answer:

Nathaniel can travel 576 miles on 16 gallons.

Explanation:

Knowing that 10 gallons would be enough for 360 miles, we can divide 360 by 10 to get the amount of miles that can be driven for only ONE gallon.

360 divided by 10 is 36, so 36 is the amount of miles driven for one gallon. Now we can multiply 36 by 16 to get the amount for 16 gallons. 36 multiplied by 16 is 576. Nathaniel can travel 576 miles on 16 gallons.

The given function is f(x) = 15(1.02)^x, where x is the number of years from the date at which money is initially deposited.

This means that $15 were initially deposited into the account, and the amount grows at an annual rate of 2% (which is represented by 1.02 being raised to the power of x).

Therefore, the correct answer is: $15 were initially deposited into the account, which grows at an annual rate of 2%.

Hope I helped you...

Answer:

D

Step-by-step explanation:

Answer: y = 3x - 20

Step-by-step explanation: just took this :D

Answer:

The perimeter is the length of the outline of a shape. To find the perimeter of a rectangle or square you have to add the lengths of all the four sides. x is in this case the length of the rectangle while y is the width of the rectangle.

Answer:

 (-7/9)^4 = 2401/6561

Step-by-step explanation:

The rules of exponents apply.

  (a^b)/(a^c) = a^(b-c) . . . . . quotient rule

  (a^b)^c = a^(bc) . . . . . . . . power rule

__

The first rule of exponents shown above helps us find the value of a/b.

  \(\dfrac{a}{b}=\dfrac{\left(\dfrac{-7}{9}\right)^8}{\left(\dfrac{-7}{9}\right)^6}=\left(\dfrac{-7}{9}\right)^{8-6}=\left(\dfrac{-7}{9}\right)^2\)

The second rule of exponents shown above tells us how to find the square.

  \(\left(\dfrac{a}{b}\right)^2=\left(\left(\dfrac{-7}{9}\right)^2\right)^2=\left(\dfrac{-7}{9}\right)^{2\times2}\\\\\boxed{\left(\dfrac{a}{b}\right)^2=\left(\dfrac{-7}{9}\right)^4=\dfrac{2401}{6561}}\)

_____

Additional comment

Since -7 is always to an even power in these expressions, its sign can be ignored. The product of an even number of negative values is positive.

To find the zeros of y = tan(2x), we need to solve the equation sin(2x) = 0 to determine the x-values where sin(2x) is zero. These x-values will correspond to the zeros of the function tan(2x).

To find the zeros of the function y = tan(2x), we can utilize the fact that tan(x) is equal to sin(x)/cos(x).

Given y = tan(2x), we can rewrite it as:

y = sin(2x) / cos(2x)

Now, let's consider the numerator of this expression, which is sin(2x). If we set sin(2x) equal to zero, we can determine the values of x that make the numerator zero:

sin(2x) = 0

By solving this equation, we can find the zeros of sin(2x). The solutions will be the values of x for which sin(2x) equals zero.

Similarly, we can look at the denominator of the expression y = sin(2x) / cos(2x), which is cos(2x). If cos(2x) equals zero, the denominator will be zero, which leads to undefined values for y. These points will be vertical asymptotes of the function tan(2x).

To find the zeros of y = tan(2x), we need to solve the equation sin(2x) = 0 to determine the x-values where sin(2x) is zero. These x-values will correspond to the zeros of the function tan(2x).

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Angles are equal as it's parallelogram

Answer:

x = 3

Step-by-step explanation:

Assuming the given shape is a rhombus.

Properties of a rhombus

As there is a reflection of symmetry over the diagonals, the diagonals bisect the vertices, i.e. the diagonal divides the vertices into 2 equal angles.  Therefore, the angles either side of the diagonal at each vertex are equal.

Therefore:

\(\implies 6x^2-15=5x^2-2x\)

Rearrange to create a quadratic (equal to zero):

\(\implies 6x^2-15-5x^2+2x=0\)

\(\implies x^2+2x-15=0\)

Solve the quadratic to find the value of x:

\(\implies x^2+2x-15=0\)

\(\implies x^2+5x-3x-15=0\)

\(\implies x(x+5)-3(x+5)=0\)

\(\implies (x-3)(x+5)=0\)

Therefore:

\((x-3)=0 \implies x=3\)

\((x+5)=0 \implies x=-5\)

Substitute the found values of x into one of the expressions:

\(x=3 \implies 6(3)^2-15=39\)

\(x=-5 \implies 6(-5)^2-15=135\)

Therefore, the options for the angles are 39° or 135°.

From inspection of the diagram, the angles are clearly acute (less than 90°), therefore the only appropriate value of x is 3.

If im not mistaken and the correct answer is 4(x)+4(2)

Answer:

4(x)+4(2)

Step-by-step explanation:

in the term 4(x+2) the four is distributed to the x and the 2 making two seperate terms of 4 times x and then 4 times 2

In a Lineweaver-Burk plot, the 1/Y-intercept represents the reciprocal of the maximum velocity (1/Vmax) of the enzyme-catalyzed reaction. The 1/X-intercept represents the negative reciprocal of the Michaelis constant (1/Km) for the substrate.

In a Lineweaver-Burk plot, the 1/Y-intercept represents the reciprocal of the maximum velocity (1/Vmax) of the enzyme-catalyzed reaction being studied, while the 1/X-intercept represents the negative reciprocal of the Michaelis constant (1/Km) for the substrate.

The Lineweaver-Burk plot is a linear transformation of the Michaelis-Menten equation, which relates the initial reaction rate (v0) of an enzyme-catalyzed reaction to the substrate concentration ([S]):

v0 = (Vmax [S]) / (Km + [S])

Taking the reciprocal of both sides of the equation, we get:

1/v0 = (Km/Vmax) (1/[S]) + 1/Vmax

This equation has the same form as the equation of a straight line y = mx + b, where y = 1/v0, x = 1/[S], m = Km/Vmax, and b = 1/Vmax. Therefore, plotting 1/v0 against 1/[S] on a Lineweaver-Burk plot produces a straight line with a slope of Km/Vmax and a y-intercept of 1/Vmax.

Taking the reciprocal of the slope, we get:

1/(Km/Vmax) = Vmax/Km

which is equal to the 1/X-intercept of the Lineweaver-Burk plot. Similarly, taking the reciprocal of the y-intercept, we get:

1/(1/Vmax) = Vmax

which is equal to the 1/Y-intercept of the Lineweaver-Burk plot.

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Answer:

-9x+5y=-4

Step-by-step explanation:

Answer:

m= 9/5

Step-by-step explanation:

Parallel lines have the same slope.

So if you can find the slope of the given line, you have the slope you want.

Change the line into the form

y=mx + c

The value of m

will be the slope of the line.

9x −4 = 5y ← to make the y term positive

y=9/5x − 4/5

m=9/5

Downsizing refers to the process of reducing the size and workforce of a company to cut costs, increase efficiency, or adapt to changing market conditions. It involves eliminating positions, reducing staff numbers, or even closing down certain business units or branches.

Downsizing can occur for various reasons, such as financial difficulties, mergers and acquisitions, technological advancements, or strategic reorganization. Companies often assess their operational costs and decide to downsize to improve their financial performance.

During the downsizing process, companies may calculate the potential cost savings by considering factors such as salaries, benefits, severance packages, and operational expenses. For example, if a company decides to eliminate 100 positions with an average salary of $50,000 per year, it could result in annual savings of $5 million.

While downsizing can help companies achieve short-term cost reductions, it often has significant implications for the affected employees, including layoffs, reduced morale, and increased workload for remaining staff. It is crucial for organizations to handle the downsizing process with sensitivity and transparency, providing support to affected employees and communicating the rationale behind the decisions.

It is important to note that downsizing should not be seen as a long-term solution, but rather as a strategic measure to address specific challenges. Companies should also explore alternatives to downsizing, such as retraining and redeploying employees, implementing productivity improvements, or seeking new business opportunities, to ensure sustainable growth and success in the long run.

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Ok, so

Remember that the probability of an event is the relation between the favorable cases and all the possible cases.

In this case, we want to know the probability of landing on spaces 2 through 5.

We know that all the possible options for the spinner to land, are 10.

We also know that there's four positions between 2 and 5. (2,3,4,5).

Now, the probability will be:

Probability = 4/10 which is 2/5

Answer:

Since 4 bags cost $8, divide $8 by 4 bags and you get $2 for 1 bag.