Helpp plzzz I will mark brainliestttt

Each of the expressions can be rewritten using one of the properties of rational expressions as follows:

1. 49^1/2 * 3/5 = 3.21 (Power of  a power property)

2. 4^3/4 ÷ 4^1/4 = 4^3/4 -1/4 = 2.00 (Quotient of power property)

3. 27^4/3 ÷ 125^4/3 = 0.13 (Power of a quotient property)

4. 16^7/4 + 1/2 = 16^9/4 = 512 (Product of power property)

5. 36^3/2 + 64^3/2 = 216 + 512 = 728 (Power of product property)

6. 9^5/2 ÷ 25^5/2 = 243/3123 =0.78 (Power of a quotient property)

7. 81^5/6 - 1/3 = 81^1/2 = 9 (Quotient of powers property)

8. 64^4/3 ÷ 123^4/3 = 255.65/610.72 = 0.42 (Power of a quotient property)

9. x^13/10 y^2/5 * y^6/5  (Power of product property)

10. 4a^1/2 ÷ 2(4a^3/4) = 4a^-1/4 ÷ 2 = 2a^-1/4 (Quotient of powers property)

11. 27 * 2.99 x^6/5 - 1/5 = 80.91x (Quotient of powers property)

12. x^23/12 x^29/12 y^2     (Power of product property)

A rational expression is a mathematical representation that aims at indicating the ratios of two different or similar polynomial values. The alphabets x and y are often used in such expressions.

It is also possible to rewrite rational expressions using some laid down principles. The given expressions have been rewritten with the relevant rational rules.

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Answer:

-23

Step-by-step explanation:

the equation of the line is y=-2/3x-23 so the b in the equation (y=mx+b) is the y int so that is -23

The inequality of the temperatures where yeast will NOT thrive is T < 90°F or T > 95°F

from the question, we have the following parameters that can be used in our computation:

Yeast thrives between 90°F to 95°F

For the temperatures where yeast will not thrive, we have the temperatures to be out of the given range

Using the above as a guide, we have the following:

T < 90°F or T > 95°F.

Where

T = Temperature

Hence, the inequality is T < 90°F or T > 95°F.

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Answer:

The answer would be letter J

The inequality for total expenditure & number of breakfasts is 5 > 1.25b

Assumed : Number of breakfasts = b

Number of breakfast meals x Price per breakfast meal = Total Expenditure

Total expenditure should be less or than equal to $1.25

So, 1.25b < 5

It implies that inequality : 5 > 1.25b

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So the answer is 1.3 after rounding to 10.

To find the area of a quadrilateral with given coordinates, you can use the Shoelace Formula.

The Shoelace Formula, also known as Gauss's area formula, provides a method to calculate the area of any polygon given its coordinates. Here's how it works for a quadrilateral:

Let's say you have the coordinates of the four vertices of the quadrilateral: (x1, y1), (x2, y2), (x3, y3), and (x4, y4).

1. Write down the coordinates in a clockwise order:

  (x1, y1), (x2, y2), (x3, y3), (x4, y4), (x1, y1).

2. Multiply each x-coordinate by the y-coordinate of the next vertex.

  For example, for the first vertex (x1, y1), multiply x1 by y2, and for the second vertex (x2, y2), multiply x2 by y3, and so on.

3. Multiply each y-coordinate by the x-coordinate of the next vertex.

  For example, for the first vertex (x1, y1), multiply y1 by x2, and for the second vertex (x2, y2), multiply y2 by x3, and so on.

4. Add up all the results from Steps 2 and 3.

5. Take the absolute value of the sum calculated in Step 4 and divide it by 2.

By following the steps of the Shoelace Formula, you can calculate the area of a quadrilateral given its coordinates. Remember to ensure that the coordinates are listed in a clockwise or counterclockwise order to obtain the correct result. This method can be applied to any quadrilateral shape and provides an efficient way to find its area without requiring complex calculations or trigonometric functions.

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Answer:

-2, 5, 3

Step-by-step explanation:

A + B + C = 6

C = A + B

A + 7 = B

Now replace each of the letters with what we know

A + (A + 7) + (A + (A + 7)) = 6

Combine like terms

4A + 14 = 6

4A = -8

A = -2

A + 7 = B, so B = 5

C = A + B, so C = 3

Answer:

d^4-6d^3+d+17/d-2

A bit complicated, sorry about that.

Answer:

Step-by-step explanation:

m=(y2-y1)/(x2-x1),

To maximize his earnings, John should install 5 Secure alarms and 5 Maximum Secure alarms, and then demonstrate 5 Secure alarms and 2 Maximum Secure alarms.

Let's first consider the time constraints. Since John cannot work more than 40 hours per week, we have the following inequality:

1h(install Secure) x + 2.2h(install Maximum Secure) y + 0.25h(demo Secure) x + 0.4h(demo Maximum Secure) y <= 40

where x and y are the number of Secure and Maximum Secure alarms John installs, respectively.

John is required to work a minimum of 20 hours per week as an installer and a maximum of 20 hours as a demonstrator. So we have the following constraints:

1h(install Secure) x + 2.2h(install Maximum Secure) y >= 20 (minimum hours as installer)

0.25h(demo Secure) x + 0.4h(demo Maximum Secure) y <= 20 (maximum hours as demonstrator)

Now, we can set up the objective function to maximize John's earnings:

E(x,y) = 3(install Secure) x + 3(install Maximum Secure) y + 2(demo Secure) x + 2(demo Maximum Secure) y

= 5x + 5.6y

Using linear programming techniques, we can solve for the optimal values of x and y that maximize the objective function and satisfy the constraints. The optimal values turn out to be x=5 and y=5 for installing alarms, and x=5 and y=2 for demonstrating alarms. Therefore, John should install 5 Secure alarms and 5 Maximum Secure alarms, and then demonstrate 5 Secure alarms and 2 Maximum Secure alarms, to maximize his earnings.

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Therefοre, the number οf sunny days is 96.

An equatiοn is a mathematical statement that asserts the equality οf twο expressiοns. It typically cοnsists οf variables, cοnstants, and mathematical οperatiοns, such as additiοn, subtractiοn, multiplicatiοn, divisiοn, expοnents, and rοοts.

A mathematical assertiοn οf the equality οf twο expressiοns is knοwn as an equatiοn. Variables, cοnstants, and mathematical οperatiοns like additiοn, subtractiοn, multiplicatiοn, divisiοn, expοnents, and rects are generally included.

Given by the questiοn.

Let "x" be the number οf sunny days οver the last 96 days.

If it was sunny until thοse days, that means all 96 days were sunny.

We can set up the equatiοn:

x = 96

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Answer:

(x - 8)² + (y + 9)² = 49

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

here (h, k ) = (8, - 9 ) and r = 7 , then

(x - 8)² + (y - (- 9) )² = 7² , that is

(x - 8)² + (y + 9)² = 49

Answer:

the answer is 7

Step-by-step explanation:

7 plus 7 add 11 equals twenty five

The coefficient of non-determination that shows unique rather than common variance is 0.64.

The amount of variance that is common among a group of objects is known as common variance. Items with high correlation will have a lot of variance in common. Common-method variance (CMV) is the fictitious "variance that is attributable to the measurement method rather than to the constructs the measures are assumed to represent" or, alternatively, "systematic error variance shared among variables measured with and introduced as a function of the same method and/or source".

Depending on a number of variables, the inter correlations across measures that are impacted by CMV or common-method bias might be inflated or deflated.

The coefficient of non-determination = 100% - coefficient of determination

= 100 -36

= 64%

= 0.64

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Answer:

it's a triangle

Step-by-step explanation:

according to the question the whole numbers less than 10 that satisfy this inequality are 0, 1, 2, 3.

In algebra, a symbol, which is frequently a letter, is used to represent an unknown value in numbers within an equation as well as an algebraic expression. In the simplest words, a variable is a quantity that is changeable and unfixed. Categorical and numerical variables are the two main types of variables. Then, either discrete or ongoing subclasses are constructed for each group for both category and numerical variables. A summary of numerous categories is given in this section. a measure one can be implemented in numerous ways.

given,

To solve 4x−8≤4, we can add 8 to both sides to isolate the variable:

4x - 8+8≤4 + 8

4x ≤ 12

Dividing both sides by 4, we get:

x ≤ 3

The whole numbers less than 10 that satisfy this inequality are 0, 1, 2, 3.

therefore, the answer is 0, 1, 2, 3.

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Answer:

i dont think you have included all the info of the question so if you do that i might be able to help you :)

Step-by-step explanation:

The shortest distance he would need to travel to get back to his starting point is 2.83 km

From the question, we have the following parameters that can be used in our computation:

A walker travels 2 km due north and 2 km due east

The shortest distance he would need to travel to get back to his starting point can be calculated using pythagoras theorem

So, we have

Distance = √(2² + 2²)

Evaluate

Distance = 2.83

Hence, the shortest distance is 2.83 km

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P = 46.40°

Step-by-step explanation:

Since this is right triangle where all the sides are known we can use either sine, cosine or tangent of the angle to solve for P. Let use sine:

sin P = opp/hyp

= 21/29

or

P = arcsin(21/29) = arcsin(0.724)

= 46.40°

The inverse of (- 2 . 3 ) is (1 / - 2.3 ).

In mathematics, the inverse of a number refers to the concept of taking its reciprocal; for instance (2 . w ) results in its reciprocal as ( 1/ 2. w ). When a number is multiplied by its inverse the result yields 1, meaning that the product of the number and its inverse, i.e. reciprocal always equals 1.

As per the given number which is (-2.3) and its inverse is ( 1 / -2.3 ), when these two numbers are multiplied together they result in 1. Such as:

(-2.3) x ( 1 / -2.3 ) = 1

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Answer:

The age distribution of a population is shown.

a. The probability that a person chosen at random is at least 15 years old is 14%

b. The probability that a person chosen at random is 25 - 44 years old is 26%

The probability that a person chosen at random is at least 15 years is 80%

The probability that a person chosen at random is 25 - 44 years old is 26%

Probability determines how likely it is that a stated event would occur. This probability lies between 0 and 1.

The probability that a person chosen at random is at least 15 years = sum of percentages of people at least 15 years old : 14 + 13 + 13 + 15 + 12 + 13 = 80%

The probability that a person chosen at random is 25 - 44 years old : 13% + 13% = 26%

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Answer:

b. y = 19.50n + 60.00; $196.50

The area of the parallelogram with vertices (0,0), (3,6), (8,2), and (11,8) is 0 square units.

To find the area of a parallelogram with given vertices, we can use the formula:

Area = |(x1y2 + x2y3 + x3y4 + x4y1) - (y1x2 + y2x3 + y3x4 + y4x1)| / 2

Given the vertices:

A = (0, 0)

B = (3, 6)

C = (8, 2)

D = (11, 8)

We can plug these coordinates into the formula to calculate the area:

Area = |(0*6 + 3*2 + 8*8 + 11*0) - (0*3 + 6*8 + 2*11 + 8*0)| / 2

Area = |(0 + 6 + 64 + 0) - (0 + 48 + 22 + 0)| / 2

Area = |70 - 70| / 2

Area = 0 / 2

Area = 0

Therefore, the area of the parallelogram with vertices (0,0), (3,6), (8,2), and (11,8) is 0 square units.

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If the polar coordinate of a point is (9, π/5). Then the cartesian coordiante will be (7.28, 5.29).

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

The polar coordimnate is given below.

P(9, π/5)

Then the cartesian coordinate will be

We know that the conversion of the polar coordinate to the cartesian coordinate.

(x, y) = (r cos θ, r sin θ)

Then we have

r = 9

θ = π/5

Then we have

x = 9 cos π/5

x = 7.28

y = 9 sin π/5

y = 5.29

Then the coordinate will be (7.28, 5.29).

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A story that can be represented using the equation y=x+1/5x is "John has an apple and he cut another apple into 5 equal parts and took on part. What's the rural fraction of apple that he has?

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario. It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.

In this case, if John has an apple and he cut another apple into 5 equal parts and took on part.

This can be illustrated as:

y = x + 1/5x

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Answer:

c. Yes because ∠2 and ∠6 are congruent.

Step-by-step explanation:

From the picture attached,

m(∠2) = m(∠3) = m(∠6) = 40°

m(∠1) = 140°

Since (∠2 ≅ ∠6) (corresponding angles)

Therefore, by the converse theorem of corresponding angles lines c and d are parallel.

Option c is the answer.

Answer:

hii

Step-by-step explanation: