Landon is deciding between two landscaping companies for his place of business.
Company A charges $30 per hour and a $175 equipment fee. Company B charges $45
per hour and a $100 equipment fee. Let A represent the amount Company A would
charge for t hours of landscaping, and let B represent the amount Company B would
charge for t hours of landscaping. Write an equation for each situation, in terms of t,
and determine the interval of hours, t, for which Company A is cheaper than
Company B.
A =
B =
Company A is cheaper than Company B when t
Note: The interval will only apply for valid values of t in the domain.

The probability that a student passed the test given that they completed the homework is, 16/19

Probability is a mathematical term, which can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. The possibility that an event will occur is measured by probability.

Probability of Event = Favorable Outcomes/Total Outcomes = X/n

Given that,

Math class of 28 students

Students who passed the test(P) = 20

Students who completed the assignment(Q) = 19

Students who passed the test and also completed the assignment (P∩Q)= 16

Probability =  (P∩Q)/Q

                  =  16/19

Hence, the probability is 16/19

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Quadratic Equations are:

Quadratic equations are the polynomial equations of degree 2 in one variable of type f(x) = ax² + bx + c = 0 where a, b, c, ∈ R and a ≠ 0. It is the general form of a quadratic equation where 'a' is called the leading coefficient and 'c' is called the absolute term of f (x).

Given equations

It can be written as

(x²)² - 6x² - 27 = 0

Degree of variable x² is 2

It is a quadratic equation

3x⁴ - 2x = 0

Degree of variable x is 4

It is not quadratic equation

2(x⁴ + 20x³ + 150x² + 500x + 625) + 2x² + 5 = 0

2x⁴ + 40x³ + 302x² + 1000x + 630 = 0

x⁴ + 20x³ + 151x² + 500x + 315 = 0

Degree of variable x is 4

It is not quadratic equation.

6(4x² + 16 + 16x) = (2x + 4) + 2

24x² + 96 + 96x = 2x + 4 + 2

24x² + 9x + 90 = 0

Degree of the variable x is 2

It is quadratic equation.

6x⁴ - x² + 5 = 0

6(x)² - x² + 5 = 0

Degree of variable x² is 2.

It is quadratic equation

4x⁴ + x² - 2x = 0

Degree of variable x is 4

It is not a quadratic equation

Hence, x⁴ - 6x² - 27 = 0, 6(2x + 4)² = (2x + 4) + 2 and 6x⁴ = -x² + 5 are quadratic equation.

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The percent of pages that Olivia has read following this equation (blank/220 = x/blank) is:

65%

The percentage of pages that Olivia has not read is:

35%

The proportion of pages read can be obtained by inputting the total number of pages read to the full count of pages in the book. This gives:

40 + 60 + 43 = 143.

We now divide this sum by the number of pages in the books, 220.

143/220

Converting to percentage gives:

143/220 × 100

65%

The percentage of pages that Olivia has not read can be obtained thus:

220 - 143/ 220

= 0.35 × 100

= 35%

So, the percentages are in the order of 65% and 35%.

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Step-by-step explanation:

Slope formula:

[tex](y2 - y1) \div (x1 - x2)[/tex]

(y2-y1) is the rise and (x1-x2) is the run which accumulates to form the gradient: rise/run. This slope equation id denoted as (variable 1 and 2) since there are 2 x and y values given to mathematically find the gradient. So there is no order in which you substitute your values to find the slope.

Due to formatting error I cannot comprehend the assignements of coodinates in your previous question.

Answer:

1/4

Step-by-step explanation:

Dividir es lo mismo que multiplicar por el recíproco, y el recíproco de 2 es 1/2. 1/2 * 1/2 = 1/4

Answer:

-7, -6, -5, -4

Step-by-step explanation:

-7 + (- 6) = -13

-5 + (- 4) = -9

-13 + (- 9)  = -22

Answer:

x = 77.5

Step-by-step explanation:

x and x + 25 are a linear pair and sum to 180° , that is

x + x + 25 = 180

2x + 25 = 180 ( subtract 25 from both sides )

2x = 155 ( divide both sides by 2 )

x = 77.5

4 people can go to the amusement park

Two or more expressions with an Equal sign is called as Equation.

Given that group of friends wants to go to the amusement park

They have $46.75 to spend on parking and admission.

Parking is $5.75, and tickets cost $10.25 per person including tax.

We need to find the number of people can go to the amusement park

5.75+10.25x=46.75

Subtract 5.75 on both sides

10.25x=46.75-5.75

10.25x=41

Divide both sides by 10.25

x=41/10.25

x=4

Hence, 4 people can go to the amusement park

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There are 1.3 gallons of sealant you will need to cover the deck.

Area is the amount of surface a two-dimensional shape can cover, measured in square units.

Given that, You are building a multi-level deck, a polynomial in standard form that represents the area of that level.

Level 1; x and 10+x-12 = x and x-2, and that area is x²-2x.

Level 2: x(x-12) = x²-12x

Total area is their sum: 2x²-14x

When x = 20,

The area is 2×20²-14(20) = 520 ft²

520/400 = 1.3 gallons.

Hence, there are 1.3 gallons of sealant you will need to cover the deck.

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The range of the given function:

y = -3*√(-2x + 8 + 4)

is Range: (-∞, 0]

Here we have the function:

y = -3*√(-2x + 8 + 4)

The range is the set of possible values of y (called the outputs) of that equation. Now, remember that the mimimum of the square root is zero, thus the maximum of our function will be:

y = -3*0

y = 0

And then the function decreases, then the range is the set of all real numbers that are equal to or smaller than zero, this can be written as:

R: (-∞, 0]

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Answer:

A rational exponent is an exponent that can be written as a ratio of two integers, for example, 1/3.

A rational exponent can be converted to a radical (or root) form by taking the reciprocal of the exponent and placing it as the index of the root symbol.

So, (10)^1/3 can be rewritten as:

10^1/3 = (10^3)^1/3 = ∛10^3 = ∛1000 = ∛(101010) = 10

So the expression (10)^1/3 can be rewritten as 10.

It's also worth noting that since 10 is a perfect cube, this is only true for this specific number, for other numbers it will be different.

Length = 12 ft

Width = 4 ft

Answer:

y=140

x=216

Step-by-step explanation:

y=non-students, x=students

x+y=356

3x+5y=1348

| | | | | | |

-3(x+y=356)

3x+5y=1348

-3x-3y=-1068

3x+5y=1348

-3x and 3x cross out because they are opposites and equal to 0. then add -3y + 5y which gives you 2y. then add -1068+1348=which gives you 280. you are left with

2y=280

divide both sides by two to get rid of the 2 on the left side of the equation because we are trying to find y (non-students) that gives you 140. so y=140 then substitute 140 into x+y=356

x+(140)=356

subtract 140 on both sides and your answer is 216 so x=216.

x=216; students

y=140; non-students

tan = y/x in trigonometry, where y is the opposite side of the associated right triangle.

Since a triangle has three sides and three vertices, it is a polygon. It is a fundamental geometric shape. Triangle ABC is the moniker given to a triangle that has vertices A, B, and C. When the three points are not collinear, a singular plane and triangle are found in Euclidean geometry. A triangle is a polygon if it has three sides and three corners. The points where the three sides meet are known as the triangle's corners. The product of three triangle angles is 180 degrees.

given

the vertical height = 40 feet

The answer is as simple as using the trigonometric formula tan = y/x, where y is the opposite side of the related right triangle,

x is the adjacent side, and is the angle that the two sides subtend.

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The Correl function is the easiest way to for calculating correlation between two variables.

What is correlation ?

correlation can be defined as the measure of relation between two variables.

In case you want to measure of degree the power of a dating between two variables, you can accomplish that through using a complicated or on line calculator. you could additionally placed your mathematical abilities to apply and calculate it through hand. while calculating a correlation coefficient via hand.

To find correlation using data points are as follows  :

Determine your data sets.

Calculate the standardized value for your x variables.

Calculate the standardized value for your y variables.

Multiply and find the sum.

Divide the sum and determine the correlation coefficient.

Hence, The Correl function is the easiest way to for calculating correlation between two variables.

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An equation is formed when two equal expressions. The equation has only one solution which is equal to 16.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The solution to the equation can be done in the following manner,

3/(2g+8)=(g+2)/g^2-16

solving we get,

g^2-12g-64=0

(g-16)(g+4)=0

Thus, we will get the value of g as -4 and 16. But if we substitute the value of g as -4, the equation will have 0 as the denominator on both sides.

Hence, the equation has only one solution which is equal to 16.

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Answer:

The correct answer on edge is A. or g= -4

Step-by-step explanation:

Answer:

19 is the correct answer

Step-by-step explanation:

So, there are 5 widowed people (3+2) and there are 3 females in the widowed category. So:-

3/5*100 = 60%

Radius, diameter, chord, tangent, arc, center, secant, and sector are the many components of a circle.

A circle is a straightforward shape made up of all the points in a plane that are at specific distances from the center. A circle's origin is its center. A circle's radius is the separation between any two points on the circle. The largest separation between the ends of a circle is its diameter.

Generally speaking, it is important to comprehend the radius, diameter, circumference, and area of a circle, which are the four circle measurements. Any one of these can define a circle. A circle is a spherical form with no sides or corners. In geometry, a circle is a closed, curved shape with two dimensions. The circumference of a circle measured from center to center is its diameter.

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Answer:

Divide 1 1/4 by 2 to get 0.625 then multiply by 12. 0.625*12 = 7.5 or 7 1/2

Step-by-step explanation:

Simply substitute 13 for n in the expression

(13) - 4 = 9

Limit's characteristics include its laws. The limit of a function is determined using them. A constant's limit is that very same constant.

The complete question is,

Which limitations rules apply?

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2^5/6^5 = what?

To start, what is 2^5?  2 x 2 x 2 x 2 x 2.  
What is 6^5? 6 x 6 x 6 x 6 x 6.

So, 2 x 2 x 2 x 2 x 2/6 x 6 x 6 x 6 x 6.

Then, simplify it down.  What factors can you get out of it?

Example problem:

2^3/4^2
2 x 2 x 2/4 x 4
= 8/16

= 1/2

Hope that helps!

-Molly ;)

Answer:

To pass the test, a student must correctly answer at least 0.6 or 60% of the questions.

Donald's score is 5/8, which can be simplified to 0.625. Since this is greater than 0.6, Donald passes the test.

Karen's score is 0.88, which is greater than 0.6, so Karen passes the test.

Geno's score is 3/5, which can be simplified to 0.6. Since this is equal to 0.6, Geno passes the test.

Ciara's score is 4/5, which can be simplified to 0.8. Since this is greater than 0.6, Ciara passes the test.

Therefore, all the students pass the test.

The volume of the triangular pyramid is 30 inches³.

The volume of the triangular pyramid  is 10 inches tall and has a base area of 9 square inches.  

Therefore, the volume of the triangular pyramid can be found as follows:

volume of the triangular pyramid = 1 / 3 Bh

where

Therefore,

B = 9 inches²

h = 10 inches

Hence,

volume of the triangular pyramid = 1 / 3 × 9 × 10

volume of the triangular pyramid = 90 / 3

volume of the triangular pyramid = 30 inches³

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Answer: The Correct answer is 5.

Step-by-step explanation: Because in this plane, the line segment making right angle with vertical axis.

Hence, we apply Pythagoras theorem as we usually do, after that we only take the magnitudes of the numbers not the signs.

First we take the length of Perpendicular only magnitude i.e. |+2 to -2| = 4 .

Then we take Base i.e. |-3 to 0| = 3

Now apply simply Pythagoras Theorem H2 = P2 + B2

H2 = (4)2 + (3)2

H2 = 16 + 9

H2 = 25

H = 5

A) The volume of the container is 60 cubic ft.

B) The cost of the sand is $75.

What is the volume of the trapezoidal prism?

To find the volume of a right trapezoidal prism, we can use the formula:

V = (bh)/2 * l

where b is the length of the shorter base, h is the height, and l is the length of the longer base.

Given that b = 3ft, h = 8ft and l = 5ft, we can substitute the values into the formula:

V = (38)/2 * 5 = 125 = 60 cubic ft

So the volume of the container is 60 cubic ft.

B. To find the cost of the sand, we can use the formula:

Cost = Volume of container * cost per cubic foot

Given that the cost per cubic ft is $1.25 and the volume of the container is 60 cubic ft, the cost of the sand is :

Cost = 60 * 1.25 = $75

The cost of the sand is $75.

Hence,

A) The volume of the container is 60 cubic ft.

B) The cost of the sand is $75.

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Answer: 3.41

Step-by-step explanation: 4.58 - 1.17 + 3.41

If a child's toy is in the shape of a square pyramid. The pyramid stands 18 inches tall and each side of the base measures 24 inches. the surface area of the toy that is yellow is  432 square inches.

The surface area of the square pyramid can be calculated as follows:

Base area = side length * side length

Base area = 24 inches * 24 inches

Base area = 576 square inches

Slant height = √ (side length * side length + height * height)

= √(24 * 24 + 18 * 18)

= 30 inches

Lateral area = 4 * base area / slant height

Lateral area = 4 * 576 / 30

Lateral area= 288 square inches

Total surface area = lateral area + base area

Total surface area = 288 square inches + 576 square inches

Total surface area = 864 square inches

The yellow surface area = total surface area / 2

The yellow surface area = 864 square inches / 2

The yellow surface area = 432 square inches

Therefore the yellow surface area is  432 square inches.

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807.2

The pyramid stands 18 inches tall and each side of the base measures 24 inches