If the wax cost $1.38 a square foot, how much will the wax cost to cover the floor?


$1,224.75

$1,569.75

$2,104.50

$2,449.50

Since in the figure, m || n, the value of x is equal to 13.

In Mathematics, corresponding angles can be defined as a postulate (theorem) which states that corresponding angles are always congruent when the transversal intersects two (2) parallel lines. This ultimately implies that, the corresponding angles will be always equal (congruent) when a transversal intersects two (2) parallel lines.

By applying corresponding angles theorem to lines a and b, we have the following:

∠m ≅ ∠n

7x - 1 = 8x - 14

8x - 7x = 14 - 1

x = 13

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Answer:

Step-by-step explanation:

f(x)=2(3^x)+1

f(2)=2(3^2)+1

f(2)=2(9)+1

f(2)=18+1

f(2)=19

To simplify the expression, we can divide each term of the polynomial by the monomial:

30c^8d^3 / 12c^2d = 2.5c^6d^2

-3bc^6d^2 / 12c^2d = -0.25bc^4

6c^3d / 12c^2d = 0.5c

Therefore, the simplified expression is:

2.5c^6d^2 - 0.25bc^4 + 0.5c

A glass case is in the shape of a rectangular prism where the volume of the case is 4/125 cubic foot. The number of cubic blocks with a side length of 1/5 foot required to find the volume of glass case is option C: 4.

What is the rectangular prism?

A rectangular prism, also known as a rectangular parallelepiped, is a three-dimensional solid shape that has six faces, where each face is a rectangle.

The volume of the glass case is 4/125 cubic foot. We can write this as:

V = l × w × h = 4/125

where l, w, and h are the length, width, and height of the rectangular prism, respectively.

To find how many cubic blocks with a side length of 1/5 foot would be required to find the volume of the glass case, we need to find the number of cubic blocks that can fit in the rectangular prism. Since the side length of each block is 1/5 foot, the volume of each block is (1/5)^3 = 1/125 cubic foot.

Therefore, the number of cubic blocks required is:

number of blocks = V / volume of one block

number of blocks = (4/125) / (1/125)

number of blocks = 4

So, we would need 4 cubic blocks with a side length of 1/5 foot to find the volume of the glass case.

Hence, the answer is 4.

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There are 5280 feet in a mile and 6076.12 feet in a nautical mile.

We know that the definition of a mile says that its the distance travelled in 1,760 yards or 1.609344 km. Now we can use this to convert it into feet. Since we know that a Yard is equal to 3 feet or 0.9144 meters , therefore

By using Unitary method :

⇒ 1 yard = 3 feet

⇒ 1760 yards = 3 x 1760 feet

⇒ 1760 yards  =  5280 feet

Therefore, 1 Mile contains 5,280 feet.

Since, it is not mentioned that which Mile we are talking about So, There is another type of mile in Imperial System called 'Nautical Mile' which is slightly larger than a regular mile. Its equal to 6076.12 feet

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The restaurant sold 25 calzones and 21 slices. Our answer as an ordered pair is (25, 21).

To solve this problem, we can use a system of equations. Let x be the number of calzones sold and y be the number of slices sold. We can create two equations based on the information given:

1) x + y = 46 (the total number of calzones and slices sold)

2) 9x + 6y = 351 (the total money collected)

We can use the first equation to solve for one of the variables in terms of the other. For example, we can solve for y in terms of x:

y = 46 - x

Now we can substitute this expression for y into the second equation:

9x + 6(46 - x) = 351

Simplifying and solving for x:

9x + 276 - 6x = 351

3x = 75

x = 25

Now we can substitute this value of x back into the first equation to find y:

25 + y = 46

y = 21

So the restaurant sold 25 calzones and 21 slices. Our answer as an ordered pair is (25, 21).

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By the concept of a segment parallel to one side of a triangle divides the other two sides in the same ratio FC is equal 36 in.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know a line segment parallel to one side of a triangle divides the other side in the same ratio.

Therefore, From the given information BE/CE = DF/FC.

3/27 = 4/(x - 2).

3(x - 2) = 108.

x - 2 = 36.

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The average rate of change of candle height from time 45 minutes to time 109 minutes is -1 inch per 64 minutes.

The average rate of change is a measure of how quickly one quantity changes relative to another. It is calculated by dividing the difference between two values by the difference in time between those two values. It is a useful metric when trying to understand the speed at which a given quantity is changing over time.

For example, To calculate the average rate of change in the number of students enrolled in a particular school over the course of 5 years. In year 1, the school had 200 students enrolled and in year 5 it had 350 students enrolled. To calculate the average rate of change, one would divide the difference between the two values (150 students) by the difference in time between them (4 years):

Average rate of change = (350-200) / (5-1) = 150 / 4 = 37.5

This means that, on average, the school's enrollment increased by 37.5 students each year.

The table showing the height of a pyramid candle as it burns can be calculated by dividing the change in height (2 inches) by the change in time (64 minutes).

Change in height = 2 inches

Change in time = 64 minutes

Average rate of change = (2 inches) / (64 minutes) = -1 inch per 64 minutes

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Answer: -15

Step-by-step explanation:

The required sum of digits is 16 which is not divisible by 3, so 26,341 is not divisible by 3.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
To determine if 26,341 is divisible by 3, we can add up the digits of the number and see if the result is divisible by 3.

2 + 6 + 3 + 4 + 1 = 16

16 is not divisible by 3, so 26,341 is not divisible by 3.

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-x - 10y +3 after grouping related terms and adding their respective coefficients.

A polynomial, a set, or the quadratic coefficient of a specific term in an equation are almost all examples of coefficients in algebra. Usually numeric, but any phrase is acceptable. If the correlates are variables, them can also be referred to as "specifications" by themselves. A coefficient is calculated multiplied by a component. Examples of ratios include: In the expression 14c 14c 14c, the coefficient is 14. Word g has to have a coefficient of 1, which doubles the element by this figure. example A coefficient is 6 becuase "z" is a variable and the definition of the word is 6z. The square that x's coefficient is one.

given

-x+5-7y-3y-5+3

We add the coefficients of like phrases after combing them.

-x - 7y -3y +3

= -x - 10y +3

-x - 10y +3 after grouping related terms and adding their respective coefficients.

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Answer: The average rate of change from (-3,5) is 4.

Step-by-step explanation: This question is incomplete there a function is needed

So, suppose f(x) = 2x²-5

Given that, x= -3 to x= -5

let a = -3 and b=5

F(a) = F(-3) = 2(-3)²-5 = 13

F(b) = F(5) = 2(5)² -5 = 45

The measure of an exterior angle of a twelve sided polygon is 30 degrees

The measure of an exterior angle of a polygon is the angle formed between one side of the polygon and the extension of an adjacent side.

In any polygon, the sum of exterior angles is always 360 degrees. This is because if you start at one vertex of the polygon and walk all the way around the outside of the polygon, you will make a full 360-degree turn. Each time you make a turn at a vertex, you create an exterior angle, and the sum of these exterior angles is equal to 360 degrees.

In a twelve-sided polygon (a dodecagon), the measure of each exterior angle can be calculated using the formula:

measure of each exterior angle = 360 degrees ÷ number of sides

So for a dodecagon:

measure of each exterior angle = 360 degrees ÷ 12 = 30 degrees

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It would take 11.25 hours after leaving his house until the phone's battery level got down to 31.5%.

According  to given conditions :

To determine how many hours after leaving his house it would take until the phone's battery level got down to 31.5%, we need to use the information provided in the table to find the equation of the line that represents the relationship between B and t. We can then use this equation to solve for the value of t when B is 31.5%.

To find the equation of the line, we can use the two points (1.5, 38.25) and (9, 9). The slope of the line is:

slope = (B2 - B1) / (t2 - t1) = (9 - 38.25) / (9 - 1.5) = -29.25 / 7.5 = -3.9

The equation of the line in point-slope form is:

B - 38.25 = -3.9(t - 1.5)

Simplifying, we get:

B = -3.9t + 44.1

Now we can solve for the value of t when B is 31.5%. Setting B to 31.5% (or 0.315) and solving for t, we get:

0.315 = -3.9t + 44.1

-3.9t = -43.785

t = 11.25

Therefore, it would take 11.25 hours after leaving his house until the phone's battery level got down to 31.5%.

What is percentage ?

A percentage is a number or ratio expressed as a fraction of 100. The symbol used to represent percentages is "%". Percentages are used to compare values and express proportions. For example, if a group of 100 people includes 60 men and 40 women, we can say that the percentage of men in the group is 60%, and the percentage of women is 40%.

To calculate a percentage, we divide the value we want to express as a percentage by the total value, and then multiply by 100. For example, if we want to express 25 as a percentage of 100, we divide 25 by 100 to get 0.25, and then multiply by 100 to get 25%. Similarly, if we want to find what percentage of 200 is 50, we divide 50 by 200 to get 0.25, and then multiply by 100 to get 25%.

Percentages are used in many different fields, including finance, science, and statistics, as well as everyday life. For example, we might use percentages to calculate the amount of tax on a purchase, to compare the results of scientific experiments, or to track the progress of a fundraising campaign.

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Answer:

y=12x+165

Step-by-step explanation:

The units of v''(r) will be cubic centimeters per square centimeter, or [tex](cm^3/cm^2)[/tex].

The second derivative of a function represents the rate of change of the first derivative, or the rate of change of the rate of change of the original function.

In this case, the function v(r) models the volume of a basketball, which is measured in cubic centimeters [tex](cm^3)[/tex]. The independent variable r is measured in centimeters (cm).

The first derivative of v(r) with respect to r is, which represents the rate of change of the volume with respect to the radius, and has units of [tex]cm^2[/tex] (cubic centimeters per centimeter).

The s[tex](cm^3/cm^2).[/tex]second derivative of v(r) with respect to r is v''(r), which represents the rate of change of the first derivative, or the rate of change of the rate of change of the volume with respect to the radius. The units of v''(r) will be [tex]cm^-1[/tex], or the inverse of the units of the first derivative, which is  [tex](cm^3/cm^2)[/tex].

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The total value of Thuli's investment after 3 years is R6200

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

principal, P = 5000

Rate = 8%

Time = 3 years

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

Amount = P * (1 + RT)

Substitute the known values in the above equation, so, we have the following representation

Amount = 5000 * (1 + 8% * 3)

Evaluate

Amount = 6200

Hence, the amount is R6200

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The correct statement about position of 2 is the 2 in 142 represents 10 times the value of the 2 in 124.

We know about the place value of digits. It states that the first digit on the Right Hand Side is the units place. Moving to the left, the next digit holds the value of tens. Moving further left the value increases 10 times.

Based on this, 142 has 2 at the leftmost place. Thus, it's value is 2. But, in the number 124, the two is at second position. It makes it value 20 (as 2 × 10 = 20). Therefore, the number in 124 is ten times of the number is 142.

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In order to convert ounces to tablespoons(tbsp), we have to multiply the number of ounces by 2.

You can use a simple conversion factor of 2 tablespoons per ounce to convert ounces to tablespoons. So, to convert a certain number of ounces to tablespoons, you just need to multiply that number by 2. For example, if you have 4 ounces of liquid, you can convert it to tablespoons by multiplying 4 by 2, which gives you 8 tablespoons. This conversion is often used in cooking and baking recipes where ingredients may be measured in different units.

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The probability that at most three bottles will be sold on a randomly selected day is about is 0.569

The probability of an event is a number that indicates how likely the event is to occur.

Given that, the number x of bottles of garden plant fungicide sold by a garden center each day was recorded, we need to find the probability that at most three bottles will be sold on a randomly selected day is about,

The possible values of x is 0, 1, 2, 3, 4, 5, 6 and 7

The probability that at most three bottles will be sold on the randomly selected day will be =

P(x≤3) = P(X=0) + P(X=1) + P(X=2) + P(X=3)

= 0.135 + 0.141 + 0.150 + 0.143

= 0.569

Hence, the probability that at most three bottles will be sold on a randomly selected day is about is 0.569

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Answer:

0.0768 or 7.68%

Step-by-step explanation:

(5 choose 4)*0.4^4*0.6=0.0768

Answer: True, False, False

Step-by-step explanation:

Answer:

8. true

9. false

10. false

Answer:

34/5

Step-by-step explanation:

August is the eighth month of the year. Depending on the region and culture, August is known for a variety of historical and cultural events, as well as natural occurrences.

August is noted in the United States for National Women's Equality Day (August 26th), which honors the enactment of the 19th Amendment to the United States Constitution, which granted women the right to vote.

The Perseid meteor shower, which happens yearly between late July and late August and is visible from many parts of the world, is also celebrated in August.

August is connected with the harvest season in several cultures and is commemorated with numerous festivals and rituals.

August is also a popular month for vacations and travel, particularly in the Northern Hemisphere, where it corresponds with the summer season.

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Answer:

Step-by-step explanation:

0.14285714285714286

The constant acceleration equations are:

The position equation: x = x0 + v0t + 1/2at^2

The velocity equation: v = v0 + at

The acceleration equation: a = (v - v0)/t

Constant acceleration equations describe the motion of an object that is experiencing a constant acceleration. When an object experiences a constant acceleration, its velocity changes by the same amount in equal time intervals. The equations that describe this motion are as follows:

The position equation: x = x0 + v0t + 1/2at^2

where x is the position of the object at time t, x0 is the initial position of the object, v0 is the initial velocity of the object, a is the constant acceleration of the object, and t is the time elapsed.

The velocity equation: v = v0 + at

where v is the velocity of the object at time t, v0 is the initial velocity of the object, a is the constant acceleration of the object, and t is the time elapsed.

The acceleration equation: a = (v - v0)/t

where a is the constant acceleration of the object, v is the velocity of the object at time t, v0 is the initial velocity of the object, and t is the time elapsed.

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The transformation that does NOT preserve congruence is C, a dilation by a scale factor of 5.

Therefore the answer is C.

Dilations change the size of a figure, but do not preserve its shape or angles, so congruence is not guaranteed to be preserved. A dilation stretches or shrinks a figure by a certain scale factor, while keeping its center fixed. Since the new figure is not the same size or shape as the original, it is not congruent to the original. In contrast, reflections, translations, and rotations all preserve shape and size, so they do preserve congruence. Therefore the answer is C) A dilation by a scale factor of 5.

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--The question is incomplete, answering to the question below--

"A transformation is applied to a figure to create a new figure. Which transformation does NOT preserve congruence?

A. A reflection across the x-axis

B. A translation 7 units down

C. A dilation by a scale factor of 5

D. A rotation of 90° clockwise"

The key difference between continuous and differentiable functions is that a function can be continuous without being differentiable, but a function cannot be differentiable unless it is continuous.

In calculus, a function is supposed to be continuous in the event that there are no unexpected leaps or breaks in its chart. This truly intends that as the values of the free factor (normally meant as x) move toward a given point, the values of the dependent variable (generally indicated as y) likewise approach a comparing esteem with next to no unexpected jumps or gaps.

On the other hand, a function is supposed to be differentiable in the event that it has an obvious derivative at each point in its space. The derivative of a capability portrays how the capability changes for little changes in the free factor. A function is differentiable assuming it has a tangent line at each point in its space, and that implies that the capability is smooth and has no sharp turns or corners.

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The answer is t = (2 - 3Q)/(4+Q).

To make t the subject of the given equation:

(2-4t)/(t+3)

We can start by cross-multiplying both sides by (t+3) to eliminate the denominator on the left-hand side:

(2 - 4t) = (t+3) * Q

where Q is an unknown value that is the result of the cross-multiplication.

Next, we can distribute the right-hand side:

2 - 4t = Qt + 3Q

Then, we can rearrange the equation by moving all the terms with t to one side and the constant terms to the other side:

2 - 3Q = t(4+Q)

Finally, we can divide both sides by the coefficient of t to isolate t:

t = (2 - 3Q)/(4+Q)

Therefore, the equation in terms of t is:

t = (2 - 3Q)/(4+Q)

In mathematics, an equation is a statement that two expressions are equal to each other. It consists of two sides: the left-hand side and the right-hand side, which are connected by an equals sign (=). An equation typically contains one or more variables, which are represented by symbols such as x, y, or z, and the goal is often to solve for these variables in order to find their values that make the equation true.

For example, the equation x + 2 = 5 is an algebraic equation that states that the sum of x and 2 is equal to 5. Solving this equation for x gives us x = 3, which means that the value of x that makes the equation true is 3.

Equations are used to model many real-world problems in mathematics, science, engineering, economics, and other fields, and they are an important tool for understanding and solving complex problems.

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The constant function, reciprocal function, exponential function, natural log function, and cos function have the property of f(0) ≠ 0.

There are 12 basic functions

Now here we are asked those 5 basic functions where f(0) ≠ 0

Here if we see serial wise

the constant function will always be a constant irrespective of the value of x. Now f(0) here, will not be provided the constant is not 0.

Then we have the reciprocal function where f(0) = 1/0 which is undefined.

The next function is the exponential function

here f(0) will be e⁰ = 1

Then there is the natural log function where ln0 is undefined.

Last we have the cos function where f(0) = cos0 = 1

Hence, the constant function, reciprocal function, exponential function, natural log function, and cos function have the property of f(0) ≠ 0.

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