1. A contractor is building the base of a circular fountain. On the blueprint, the base of the fountain has a diameter of 40 centimeters. The blueprint has a scale of three centimeters to four feet. What will be the actual area of the base of the fountain, in square feet, after it is built? Round your answer to the nearest tenth of a square foot.

The solution set of f(x) > 0 is x ∈ (-2, 8).

To find the solution set of f(x) > 0, we need to first determine the critical values of x where f(x) changes sign.

Let's start by finding the domain of the function:

x² - 6x - 16 ≠ 0

We can solve for x by using the quadratic formula:

x = [6 ± √(6² + 4(16))]/2 = [6 ± √52]/2 = 3 ± √13

So the domain of f(x) is (-∞, 3 - √13) U (3 + √13, ∞).

Now let's factor the numerator and denominator of f(x):

f(x) = (x + 10)/[(x - 8)(x + 2)]

The critical points occur where the numerator or denominator of f(x) changes sign.

The numerator changes sign at x = -10, and the denominator changes sign at x = -2 and x = 8.

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Answer:

y = -3x + 1

Step-by-step explanation:

We are given a couple ordered pairs from this table. Lets use the slope formula so we can find the slope of this line:

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Y2, y1, x2, and x1 are constants (points on the line). To make it easy, lets take the coordinates (0,1) and (1,-2). Then we just plug these points in and evaluate.

[tex]\frac{-2-1}{1-0}[/tex]

Evaluate both sides of the fraction.

[tex]\frac{-3}{1} =-3[/tex]

Now that we have the slope, we are given the y intercept coordinate, (0,1) which means the y-intercept is 1. To write it in y = mx + b form, we just plug in our numbers and were good to go.

[tex]y=-3x+1[/tex]

It can be found by graphing the points given and sketching the parabola. Another point on the graph is (-1, 9) that passes through them. You can move over and up from the vertex and do the same on the opposite side of the line x = -1.

In Mathematics and Geometry, the vertex form of a quadratic function is represented by the following mathematical equation:

f(x) = a(x - h)² + k

Where:

Based on the information provided, the vertex is located at point (2, 0), and this ultimately implies that the axis is represented by the vertical line x = 2 that passes through the vertex.

Additionally, the parabola would be bilaterally symmetric about the above axis, and the mirror image of the point (5, 9) would also be on this parabola.

Therefore, the mirror image would have the same y-coordinate of 9 while the x-coordinate is given by:

x = 2 - (5 -2)

x = -1.

In conclusion, the required point is (-1, 9).

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Complete Question:

The graph of a quadratic function has a vertex (2, 0). One point on the graph is (5, 9). Explain how to find another point on the graph. It can be found by graphing the points given and sketching the parabola. Another point on the graph is (-1, _) that passes through them. You can move over and up from the vertex and do the same on the opposite side of the line x=

Mrs. Jenkins could divide each cookie into six equal pieces, giving each son six pieces of cookies, which would add up to 10 cookies in total.

How to solve the question?

If Mrs. Jenkins gifts 10 cookies to her six sons, the number of cookies each son should get can be found by dividing the total number of cookies by the number of sons.

So, if we divide 10 cookies equally among six sons, we get:

10 / 6 = 1.6667

This means that each son should get approximately 1.67 cookies. However, since it is not possible to divide a cookie into fractions, the actual number of cookies each son would get may vary.

To distribute the cookies equally, Mrs. Jenkins can either give each son one cookie and then divide the remaining four cookies equally among the six sons. This would give each son one cookie and each son would get an additional 4/6 or 0.67 cookies.

Alternatively, Mrs. Jenkins could divide each cookie into six equal pieces, giving each son six pieces of cookies, which would add up to 10 cookies in total.

In any case, the important thing is to ensure that each son receives an equal share of the cookies.

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YOUR COMPLETE QUESTION IS :-

Mrs. Jenkins gifts 10 cookies to her six sons if they share the cookies equally how many cookies should each son get

The area of the rhombus is 84 square units . Option C

The formula that is used for calculating the area of a rhombus is expressed with the equation;

A = a × h

Given that the parameters are;

From the information given, we have that;

If x = 12 units, y = 4 units, and h = 7 units.

Then the area of the rhombus will be;

Substitute the values into the equation

A = 12 × 7

Multiply the values

A = 84 square units.

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If the job takes Reba 1 hours, the cost would be $ 19 with either artist

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let's assume the number of hours that Reba takes to paint the window is h. Then, the total cost of the job with Reba would be:

Total cost with Reba = $19 ( h )  + $41

The total cost with Pete is already given as a flat rate of $60.

We want to find the number of hours that Reba would have to take to charge the same amount as Pete, so we can set the two expressions for the total cost equal to each other and solve for "h":

$ 19 ( h ) + $ 41 = $ 60

Subtracting $41 from both sides, we get:

$ 19 ( h ) = $ 19

Dividing both sides by $ 19, we get:

h = 1

So Reba would have to take 1 hour to charge the same amount as Pete.

To calculate the cost of the job with either artist if it takes Reba 1 hour, we can substitute h=1 into the expression for the total cost with Reba:

Total cost with Reba = $ 19 ( 1 ) + $ 41 = $ 60

Hence , this is the same as the flat rate quoted by Pete, so the cost of the job would be $60 with either artist if it takes Reba 1 hour

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The missing values of function rule, Y for corresponding value of X= (-4 ) and (-2) will be 9 and 3 respectively.

                                              [tex]X|-4 |- 2|\\ Y|\quad9\; | \quad3\;|[/tex]

Now for the given fucntion ,

By substituting the values of x into the equation [tex]y = -3x - 3[/tex] and solving for y, we can determine the values of y for [tex]x = -4\; and -2[/tex].

[tex]For \;x = -4:\\y = -3(-4) - 3\\y = 12 - 3\\y = 9[/tex]

Hence, for x =(-4), y= 9

[tex]For\; x = -2:\\y = -3(-2) - 3\\y = 6 - 3\\y = 3[/tex]

Hence, for x =( -2), y = 3

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Correct Question:Fill in the table using this function rule. y = - 3x-3

[tex]X|-4 |- 2|\\ Y|\quad?\; | \quad?\;|[/tex]

The ratio of whites to blacks is 20 to 3 ( or 20/3) in United States in 1990.

From a survey of the population of the United States, a circle graph (or, pie chart) was created on the information,

Population of the United States in 1990 :

White consists of 80%

American Indian, Eskimo, and Aleut consists of 1%

Black consists of 12%

Asian and Pacific Islander consists of 3%

Other Races consists of 4%

Let say the total population of the United States in 1990 was x.

By applying the formula of percentage to numbers we get,

The number of people who were white in 1990 in United States = 80% of x

= [tex][\frac{80}{100} ]x[/tex] = [tex]\frac{4}{5} x[/tex]

The number of people who were black in 1990 in United States = 12% of x

= [tex][\frac{12}{100} ]x[/tex] = [tex]\frac{3}{25} x[/tex]

Thus, we can calculate ratio as,

Ratio of whites to blacks = [tex]\frac{\frac{4}{5} x}{\frac{3}{25} x}[/tex] = 20/3

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The calculated measure of the arc XYZ is 83 degrees

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

The circle

The angles created by secants and tangents that intersect outside a circle, which states that

The size of the angle formed by these two lines is equivalent to half the numerical difference between the measures of the arcs that they cut out from the circle.

So, we have

XYY = 1/2 * (166 - 0)

Evaluate

XYY = 83

Hence, the measure of the angle is 83 degrees

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Answer:

The Probability that a marble selected at random from the bag will NOT be green is 1/3

Step-by-step explanation:

The probability of selecting a green bag

                                            = Total No.of green bags/ Total number of bags

                                           =8/12

                                          = 2/3

Then the probability not of selecting a green bag  

                                                = 1 - The probability of selecting a green bag

                                                 = 1-(2/3)

                                                = 1/3

The values are given below:

In mathematics, a function is a rule that assigns to each input value (or argument) from a set called the domain, a unique output value from a set called the range.

The term "maths function" is typically used to describe a specific type of function that is studied in mathematics, which can be represented using algebraic or other mathematical expressions.

Functions can be used to describe various phenomena in mathematics, science, and other fields, and they play a fundamental role in many areas of mathematics, including calculus, linear algebra, and number theory.

Some common examples of mathematical functions include polynomial functions, trigonometric functions, exponential functions, and logarithmic functions.

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We discard the negative solution, so EF = 8.725. Now we can substitute this value into the

How to solve the question?

To solve this problem, we can use the fact that if two triangles are similar, their corresponding sides are proportional.

We are given that triangle ABC is similar to triangle DEF. Therefore, we can set up the following proportion:

AB/DE = BC/EF = AC/DF

We are given the lengths of AB, AC, and BC, so we can substitute those values into the proportion:

11/DE = 7.9/EF = 7.6/DF

We are asked to find the length of DF, so we can isolate DF by cross-multiplying:

11EF = 7.9DE

7.6EF = 11DF

Now we can set the two expressions for EF equal to each other and solve for DF:

11EF = 7.9DE

11EF/7.9 = DE

1.39EF = DE

7.6EF = 11DF

DF = 7.6EF/11

Substitute the value of DE into the expression for EF:

DF = 7.6(1.39EF)/11

DF = 1.52EF

Now we need to find the value of EF. We can use the fact that the sum of the angles in a triangle is 180 degrees to find the measure of angle E:

angle E = 180 - angle D - angle F

We are not given the measures of angle D or angle F, so we cannot find angle E directly. However, we do know that triangles ABC and DEF are similar, so their corresponding angles are congruent. Therefore, we can use the measures of angles A, B, and C to find the measure of angle D:

angle D = angle A

angle D = 180 - angle B - angle C

Substitute the given values for angles A, B, and C:

angle D = 56.1 degrees

angle D = 116.9 degrees

We can use the Law of Cosines to find the length of EF:

EF²= DE² + DF²- 2(DE)(DF)cos(D)

EF²= 2.2² + (1.52EF)² - 2(2.2)(1.52EF)cos(D)

Substitute the two possible values for angle D:

EF²= 2.2²+ (1.52EF)² - 2(2.2)(1.52EF)cos(56.1)

EF²= 2.2²+ (1.52EF)² - 2(2.2)(1.52EF)cos(116.9)

Simplify both expressions:

EF²= 3.2596 + 2.3104EF²- 5.7024EF

EF²= 3.2596 + 2.3104EF² + 5.7024EF

Solve for EF using either equation:

-0.3104EF² + 5.7024EF - 3.2596 = 0

-0.3104EF² - 5.7024EF + 3.2596 = 0

Solve for EF using the quadratic formula:

EF = (-b ± √(b² - 4ac))/(2a)

EF = (-5.7024 ± √(5.7024² - 4(-0.3104)(-3.2596)))/(2(-0.3104))

EF = 8.725 or EF = -4.185

We discard the negative solution, so EF = 8.725. Now we can substitute this value into the

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Answer:

a. df = 1.52

Step-by-step explanation:

11 / 5 = 2.2

so... you divide the other number by 5

7.6 / 5 = 1.52

making the length of df, 1.52

hope this helps!!! :))))

Hence, a person on a 2000 calorie diet  should eat more calories approximate ratio of 200-300 calories from  vegetables and 900-1300 calories from carbohydrates.

A calorie is a measurement,  just like a teaspoon or an inch.  Calories are the amount of energy released when your body breaks down (digests and absorbs) food.  The more calories a food has, the more energy it can provide to your body

The  number of calories a person  should consume from vegetables versus carbohydrates depends on various factors  such as age, gender, activity level, body composition, and overall health status. However, in general, it is recommended that a person on a  2000 calorie diet should  consume more calories from vegetables than from carbohydrates.

The United States Department of Agriculture (USDA) recommends  that adults consume 2.5 to 3 cups of vegetables per day, depending on their age, gender, and level  of physical activity. On a 2000 calorie diet, this would amount to approximately 200-300  calories from vegetables.

For carbohydrates, the recommended  intake varies depending on the individual's energy needs,  but it generally accounts for 45-65% of their total calorie intake. This  equates to 900-1300 calories from carbohydrates on a 2000 calorie diet.

Therefore, a person on a 2000 calorie diet  should eat more calories  from vegetables than from carbohydrates, with an approximate ratio of 200-300 calories from  vegetables and 900-1300 calories from carbohydrates.

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Answer:

13

Step-by-step explanation:

By counting the amount of dots there is on the graph you would end up with 13 trees.

The given system of equations can be written as a vector equation [tex]7x^1+x^2-3x^3[/tex] = 7 and as a matrix equation = , where A = [7 1 -3 3 2 2] and B = [7 0].

An equation is a mathematical statement that expresses the equality of two expressions. It usually consists of two expressions separated by an equals sign (=). The expressions may contain numbers, variables, and operations, such as addition, subtraction, multiplication, and division. The solution of an equation is the value of the variable that makes the equation true.

Vector equation:

[tex](7x^1+x^2-3x^3)=7[/tex]

Part 2

Write the system as a matrix equation. Select the correct choice below and fill in any answer boxes to complete your choice.

Matrix equation:

=

A =

[7 1 -3

3 2 2]

B =

[7

0]

Conclusion:

The given system of equations can be written as a vector equation [tex](7x^1+x^2-3x^3)[/tex] = 7 and as a matrix equation = , where A = [7 1 -3 3 2 2] and B = [7 0].

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Answer:

B. 314 m²

Step-by-step explanation:

Area of circle = π · r²

r = 10 m

π = 3.14

Let's solve

3.14 x 10² = 314 m²

So, the area of the circle is B. 314 m²

a. 4. b > 0

If b is positive, then we know it will be greater than 0.

b. 1. s ≤ 0

If s is nonpositive, this means it is negative or 0. We will use a less than or equal to symbol.

c.  3. w ≥ -8

If w is greater than or equal to -8, we will use a greater than or equal to symbol.

Answer: D

Step-by-step explanation:

The amount she charges for each necklace is $7.50 (option B).

Profit is the total difference between total revenue and total cost. Total cost is the sum of fixed cost and variable cost.

Profit = total revenue - total cost

Profit = (price x quantity sold) - (fixed cost + total variable cost)

Profit = (price x quantity sold) - (fixed cost +(variable cost per unit x quantity sold)

P = 7.5n - (2.25n + 15)

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The expressions that are equivalent to 6x²y + 2xy⁵; are 2(3x²y + xy⁵), 2xy(3x + y⁴), xy(6x + 2y⁴) and 4xy(3/2x + 1/2y⁴). So, the correct options are a, b, e and g.

Algebra is known to be a branch of mathematics in which problems are represented as mathematical expressions using letters or variables (x, y, z, etc.) to represent unknown values ​​that may change. The purpose of algebra is to understand what the unknown values ​​are in order to find solutions to problems. The degree of an algebraic equation is the largest power that exists for the variables in the equation. Algebraic equations can be classified by degree as follows:

Equation A: 2(3x²y + xy⁵) = 6x²y + 2xy⁵

Equation B: 2xy(3x + y⁴) = 6x²y + 2xy⁵

Equation C: 2x²y(6 + 5y) = 12x²y + 10x²y²

Equation D: 6x²y.2xy⁵

Equation E: xy(6x + 2y⁴) = 6x²y + 2xy⁵

Equation F: 2y(3x + xy⁴)⁰ = 2y

Equation G: 4xy(3/2x + 1/2y⁴) = 6xy + 2xy⁵

Hence, Equation A, B, E and G are the equations found equivalent to the given equation, 6x²y + 2xy⁵.

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1. The value of Angle STR is 19°

2. The value of arc ST is 134°

A circle is a special kind of ellipse in which the eccentricity is zero and the two foci are coincident.

Part of circle theorem states that: The angle in the same segment are equal.

1. Therefore the value of angle STR is calculated as;

= 180- ( 90+71)

= 180- 161

= 19°

2. The value of arc ST is calculated as;

Since arc SR = QR = 46°

representing the value of arc ST by x

therefore,

46+46+x+x = 360

92 +2x = 360

2x = 360-92

2x = 268

divide both sides by 2

x = 268/2

x = 134°

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Answer:

x = 81.5°

Step-by-step explanation:

the secant- tangent angle x is half the difference of the measures of the intercepted arcs.

the sum of the arcs in a circle = 360°, then

unknown intercepted arc = 360° - (215 + 93)° = 360° - 308° = 52°

then

x = [tex]\frac{1}{2}[/tex] (215 - 52)° = [tex]\frac{1}{2}[/tex] × 163° = 81.5°

The wi-fi router shall not be strong enough to cover the area of the house.

According to the statement, we must determine if a wi-fi router can cover all the area of a house, described by a rectangle. The area formula of rectangle is introduced below:

A = b · h

Where:

Now we proceed to determine the area of the house:

A = (50 ft) · (50 ft)

A = 2500 ft²

The wi-fi router shall not cover the entire area of the house.

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Answer:

12 = constant

5x = coefficient

Step-by-step explanation:

12 is a constant because it can not be changed.

5 is a coefficient because it can changed by the variable (x)

The polar coordinates of the point (17,0) are (r,θ) = (17,0). This means that the point is located on the positive x-axis, at a distance of 17 units from the origin.

To find the polar coordinates of a point given in rectangular coordinates, we need to use the following formulas:

r = √(x² + y²)

θ = tan⁻¹(y/x)

where r is the distance from the origin to the point, and θ is the angle between the positive x-axis and the line connecting the origin and the point.

In this case, the point is (17,0), so x = 17 and y = 0. Using the formulas above, we get:

r = √(17² + 0²) = 17θ = tan⁻¹(0/17) = 0

In polar coordinates, a point is represented by an ordered pair (r,θ), where r is the distance from the origin to the point, and θ is the angle between the positive x-axis and the line connecting the origin and the point, measured in radians.

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The answer for given polynomial is 4,1,-1.

A polynomial is made up of two terms, namely Poly (which means "many") and Nominal (which means "terms."). An expression that consists of variables, constants, and exponents and that is combined using mathematical operations such as addition, subtraction, multiplication, and division (no division operation by a variable) is referred to as a polynomial. The expression is divided into three categories: monomial, binomial, and trinomial depending on how many terms are included in it.

The zeros of a function are the values of its variables that meet the equation and result in the function's value being equal to 0. The zeros of a function can be represented graphically as the x-coordinates (or x-intercepts) where the graph intersects the x-axis. The discriminant formula allows us to identify whether the zeros of a quadratic function are real, complex, or repeating. As a result, when a function f(x) = 0, its zeros are x values. Therefore, if f(a) = 0, then 'a' is a zero of f(x).

according to question,

(((([tex]x^{4}[/tex])-(3•(x³)))-5x²)+3x)+4  = 0

 (((([tex]x^{4}[/tex]) -  3x³) -  5x²) +  3x) +  4  = 0

Polynomial Long Division

Dividing :  x4-3x3-5x2+3x+4

                             ("Dividend")

By         :    x-4    ("Divisor")

dividend     x4  -  3x3  -  5x2  +  3x  +  4

- divisor  * x3     x4  -  4x3            

remainder         x3  -  5x2  +  3x  +  4

- divisor  * x2         x3  -  4x2        

remainder          -  x2  +  3x  +  4

- divisor  * -x1          -  x2  +  4x    

remainder              -  x  +  4

- divisor  * -x0              -  x  +  4

remainder                    0

Quotient :  x3+x2-x-1  Remainder:  0

the answer for the given polynomial by hit and trial method is 4,1,-1.

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The zeros of the polynomial is -1 , 1 and 4.

what is polynomial?

A polynomial is made up of two terms, namely Poly (which means "many") and Nominal (which means "terms."). An expression that consists of variables, constants, and exponents and that is combined using mathematical operations such as addition, subtraction, multiplication, and division (no division operation by a variable) is referred to as a polynomial. The expression is divided into three categories: monomial, binomial, and trinomial depending on how many terms are included in it.

Here the given polynomial is g(x) = [tex]x^4-3x^3-5x^2+3x+4[/tex]

To find zeros , take g(x) = 0 then

=> [tex]0=x^4-3x^3-5x^2+3x+4[/tex]

=> [tex]-x^4+3x^3+5x^2-3x-4=0\\[/tex]

=> [tex]-x^4+x^3+2x^3-2x^2+7x^2-7x+4x-4=0[/tex]

=> [tex]-x^3(x-1)+2x^2(x-1)+7x(x-1)+4(x-1)=0[/tex]

=> [tex]-(x-1)(x^3-2x^2-7x-4)=0[/tex]

=> [tex]-(x-1)(x^3+x^2-3x^2-3x-4x-4)=0[/tex]

=> [tex]-(x-1)(x^2(x+1)-3x(x+1)-4(x+1)=0[/tex]

=> [tex]-(x-1)(x+1)(x^2-3x-4)=0[/tex]

=> [tex]-(x-1)(x+1)(x^2+x-4x-4)=0[/tex]

=> -(x-1)(x+1)(x+1)(x-4)=0

=> x-1=0 , x+1=0 , x-4=0

=> x = -1,1,4

Hence the zeros of the polynomial is -1 , 1 and 4.

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Answer:

Step-by-step explanation:

2. The total dollar amount for each cash dividend is $23,700.

 1. Calculation of outstanding common shares on each cash dividend date:

2.

Calculation of total dollar amount for each cash dividend:

Therefore, the total dollar amount for each cash dividend is $23,700.

3.

Calculation of the capitalization of retained earnings for the stock dividend:

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The equity sections from Atticus Group’s 2016 and 2017 year-end balance sheets follow Stockholders’ Equity (December 31, 2016)

Common stock—$4 par value, 100,000 shares

authorized, 40,000 shares issued and outstanding . .. . . . . . . . . . $160,000

Paid-in capital in excess of par value, common stock .. . . . . . . . . . . . . . . . 120,000

Retained earnings .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 320,000

Total stockholders’ equity .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . $600,000

Stockholders’ Equity (December 31, 2017)

Common stock—$4 par value, 100,000 shares

authorized, 47,400 shares issued, 3,000 shares in treasury . .. . . . . . . $189,600

Paid-in capital in excess of par value, common stock . . . . . .. . . . . . . . . . . . 179,200

Retained earnings ($30,000 restricted by treasury stock) .. . . . . . . . . . . . . 400,000

768,800

Less cost of treasury stock . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (30,000)

Total stockholders’ equity . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . $738,800

The following transactions and events affected its equity during year 2017.

Jan. 5 Declared a $0.50 per share cash dividend, date of record January 10.

Mar. 20 Purchased treasury stock for cash.

Apr. 5 Declared a $0.50 per share cash dividend, date of record April 10.

July 5 Declared a $0.50 per share cash dividend, date of record July 10.

July 31 Declared a 20% stock dividend when the stock’s market value was $12 per share.

Aug. 14 Issued the stock dividend that was declared on July 31.

Oct. 5 Declared a $0.50 per share cash dividend, date of record October 10.

Required

1. How many common shares are outstanding on each cash dividend date?

2. What is the total dollar amount for each of the four cash dividends?

3. What is the amount of the capitalization of retained earnings for the stock dividend?

Answer:

a) x < 0 excluding zero.

b) y ≥ 0

Step-by-step explanation:

a)

"x is negative": This means that x is less than zero. Negative numbers are any numbers less than zero, so this statement implies that x is a negative number. For example, x could be -1, -2, -3, and so on.

so answer is x < 0 excluding zero.

The inequality that expresses the statement "x is less than 0" using the expression "5a^2" would be:

5a^2 > 0 and x < 0

Here, the expression "5a^2 > 0" means that the value of "5a^2" is positive for any non-zero value of "a". Therefore, the expression "5a^2 > 0" is true for all non-zero values of "a". The inequality "x < 0" means that "x" is negative, or less than zero.

So, combining the two expressions, we get the inequality:

5a^2 > 0 and x < 0

b)

The statement "y is nonnegative" means that y is greater than or equal to zero. Therefore, the valid options for y are:

Therefore, the valid option for y is y ≥ 0.

As the given statement "y is nonnegative" cannot be expressed as an inequality involving the expression "5a^2". The expression "5a^2" is a polynomial in the variable "a", and it is not related to the variable "y" in the statement.

The inequality that expresses the statements "x is less than 0" and "y is non-negative" using the expression "5a^2" would be:

5a^2 > 0 and y ≥ 0 and x < 0

Here, the expression "5a^2 > 0" means that the value of "5a^2" is positive for any non-zero value of "a". Therefore, the expression "5a^2 > 0" is true for all non-zero values of "a".

The inequality "y ≥ 0" means that "y" is non-negative, or greater than or equal to zero.

The inequality "x < 0" means that "x" is negative, or less than zero.

So, combining the three expressions, we get the inequality:

5a^2 > 0 and y ≥ 0 and x < 0

I hope this helps!

Answer:

  7²

Step-by-step explanation:

You want to know what 7×7 is when it is written using an exponent.

At its most basic, an exponent signifies repeated multiplication. It represents the number of times a value appears as a factor in the product.

The expression 7×7 has 7 as a factor 2 times. It can be written as 7 with an exponent of 2.

  7×7 = 7²

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