The tile floor in a restaurant is being replaced. The dimensions of the floor are shown. What is the total area of the new tile floor in the restaurant? 15 ft 12 ft 20 ft 17 ft​

Answer: C

Step-by-step explanation:

The tax revenue generated from property taxes is often used to fund expressions public services such as schools, parks, and infrastructure projects in the local community.

In mathematics, you can multiply, divide, add, or subtract. An expression is constructed as follows: Number, expression, and mathematical operator A mathematical expression is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) It is possible to contrast expressions and phrases. An expression or algebraic expression is any mathematical statement that has variables, integers, and an arithmetic operation between them. For example, the expression 4m + 5 has the terms 4m and 5, as well as the provided expression's variable m, all separated by the arithmetic sign +. The calculation of property tax is typically based on the assessed value of the property and the tax rate set by the local government. The assessed value is determined by a government-appointed assessor who evaluates the value of the property based on factors such as its location, size, age, and condition. The tax rate is then applied to the assessed value to determine the amount of tax owed by the property owner. The tax revenue generated from property taxes is often used to fund public services such as schools, parks, and infrastructure projects in the local community.

To know more about expressions visit :-

https://brainly.com/question/14083225

#SPJ1

Using the z-distribution, we have that:

a)

b) Since the p-value of the test is of 0.0668 > 0.05, there is not enough evidence to conclude that the manufacturer's advertising campaign is legitimate.

Item a:

At the null hypothesis, it is tested if the mean is still of 50 miles per gallon, that is:

\(H_0: \mu = 50\)

At the alternative hypothesis, it is tested if the mean has increased, that is:

\(H_1: \mu > 50\)

Item b:

We have the standard deviation for the population, hence, the z-distribution is used to solve this question.

The test statistic is given by:

\(z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}\)

The parameters are:

Hence, the values of the parameters are:

\(\overline{x} = 51.5, \mu = 50, \sigma = 6, n = 36\)

Hence, the value of the test statistic is:

\(z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}\)

\(z = \frac{51.5 - 50}{\frac{6}{\sqrt{36}}}\)

\(z = 1.5\)

Using a z-distribution calculator, with a right-tailed test, as we are testing if the mean is greater than a value, with z = 1.5, the p-value is of 0.0668.

Since the p-value of the test is of 0.0668 > 0.05, there is not enough evidence to conclude that the manufacturer's advertising campaign is legitimate.

You can learn more about the use of the z-distribution to test an hypothesis at https://brainly.com/question/16313918

Therefore, the absolute maximum value of f(x) over (-2, 3) is 201 and it occurs at x = -2. The absolute minimum value of f(x) over (-2, 3)is -98 and it occurs at x = 3.

We must identify the crucial points of the function within the period in order to determine the function's absolute maximum and minimum values.

Define critical point?

The critical points are those where the function's derivative is zero or undefinable. The function is then assessed at these pivotal points as well as the interval's endpoints.

Absolute maximum and lowest values are represented by the largest and smallest values, respectively.

The derivative of f(x) = 3x⁴ - 4x³ - 12x² + 1 over (-2, 3) is initially found as follows:

f'(x) = 12x³ - 12x²- 24x

If we set f'(x) to 0, we obtain:

12x³ - 12x² - 24x = 0

By multiplying both sides of this equation by 12x, we may simplify it to:

x²- x - 2 = 0

The answer to this quadratic equation is:

x = -1, x = 0, x = 2

Now we evaluate f(x) at these critical points and at the endpoints of the interval:

f(-2) = 201

f(-1) = -6

f(0) = 1

f(2) = 49

f(3) = -98

To know more about critical point visit:

brainly.com/question/31017064

#SPJ1

Answer:

1.75x?

Step-by-step explanation:

I'm not sure if it has to be multiple numbers

Explanation:

Ryan spent $26.32 for 8 gallons.

The unit cost is 26.32/8 = 3.29 dollars per gallon.

20 gallons will cost 20*3.29 = 65.80 dollars

We will investigate the property of a function.

A function is defined as " Each input of a function there must only be a unique output ".

On a graph this can be defined by a vertical line test. All functions must qualify the vertical line test! The test is basically scoring vertical lines on a gragh plot of a relationhsip. No vertical line must cross or meet or cut the graph at more than one point for the relationhsip to be classified as a "function".

The input values ( domain ) and output value for each are expressed below:

The total number of domain values are ( 4 ), where the total number of range values are ( 5 ).

The above statement implies that for any one of the domain value has two values of output value.

The above statement is a direct negation of the definition of what constitute a function f ( x ) i.e:

Therefore, the given expression is:

The ratio of the amount of money Alice has to the amount Bob has is approximately 3.36 : 1.

According to the problem, two equations can be set up:

If Alice receives n dollars from Bob, then she will have 7 times as much money as Bob. This gives us the equation:

A + n = 7(B - n)

If Alice gives n dollars to Bob, then she will have 2 times as much money as Bob. This gives us the second equation:

A - n = 2(B + n)

We can rearrange these equations to make them easier to solve:

8n = 7B - A

3n = A - 2B

Setting these equal to each other, since they are both equal to 24n, gives:

21B - 3A = 8A - 16B

37B = 11A

A / B = 37 / 11

= 3. 36

Find out more on ratio at https://brainly.com/question/31414597

#SPJ1

Question 24 :

P594.65 : 35 days

P594.65/7 : 35/7 days

P84.95 : 5 days

⇒ A. P84.95

Question 25 :

88.75 + 85.5 + 90.5 + 87.25 / 4

352/4

88

⇒ B. 88

Question 26 :

I = P × r × t

I = 580.00 × 0.065 × 1

I = P37.70

⇒ B. P37.70

Answer:

it would be less than

Step-by-step explanation:

so it would be this <

The magnitude of the number 6.209 is less than the number 6.29 thus the sign of inequality will be < as 6.209 < 6.29.

A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.

Inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.

As per the given numbers,

6.209 and 6.29

Since, 6.209 - 6.29 = -0.081

Thus, 6.209 < 6.29.

Hence "The magnitude of the number 6.209 is less than the number 6.29 thus the sign of inequality will be < as 6.209 < 6.29".

For more about inequality,

brainly.com/question/20383699

#SPJ3

(3x+5)-(\(x^{2} - 3\))=9

\(x^{2}\)-3x-8=-9

\(x^{2}\)-3x=-1

\(x^{2}\)-3x+1=0

Where the above relations are given, note that Options A,  D, and E are the relations that represents a function. The others are just relations.

To distinguish a function from a relation, look to see if any of the x values are repeated; if not, the relationship is a function. If some x values are repeated but the accompanying y values differ, we have a relation rather than a function.

Note that where you are given domain and range, only the range is represented on the x-axis.

Some of the x values may be seen repeated in B, and C.

How is this so?

B) In a coordinate system, values are represented as (x, y). so

In relations, B 2 is repeated twice to in connection with -5, and -6. That is:

(2, -5) , (2, -6)

Since two is x, then its repetition nullified the relation as a function.

C) On table indicated on C, it is much easier to identify the x and y values. As is seen, -3 is repeated twice in connection with 4 and 2. Thus, its repetition nullified the relation as a function.

As a result, Options A,  D, and E are the relations that represent a function.

Learn more about function at:

https://brainly.com/question/30721594

#SPJ1

Answer:

$15.48

Explanation:

100 ÷ 6.46 = 15.479876

The statement that most accurately describes patterns of Irish immigration in the mid-19th century is: its peaked in approximately 1851. The Option D is correct.

Irish immigration to the United States in the mid-19th century was characterized by several factors:

Read more about Irish immigration

brainly.com/question/27970047

#SPJ1

Answer:

6 miles

Step-by-step explanation:

From the information given you can write the following equation:

x+y= 16 (1), where

x= April's distance

y= Blake's distance

You also have that Blake ran 4 miles farther than April which means that y= 4+x and you can replace this in the first equation and isolate x:

x+(4+x)= 16

x+4+x=16

2x=16-4

x=12/2

x= 6

According to this, the answer is that April ran 6 miles.

We are aware that (\(1^2\) + a1 + b) = 15 represents the sequence's initial term. The second term is determined by the formula (\(2^2\) + a2 + b) = 22. These equations can be expressed as a set of linear equations:

a + b = 14 ...(1)

a + b = 14 ...(1)

The results of the simultaneous solving of these equations are a = -3 b = 17.

Thus, \((n-3)^2 + 17\) is the nth term in the series in the form of (n+a)2 + b.

An Arithmetic Progression (AP) is a sequence of numbers in which each term is obtained by adding a fixed value to the previous term. This fixed value is called the common difference of progression.

For example, the sequence 2, 5, 8, 11, 14, ... is an arithmetic progression with a common difference of 3. To find the next term, we add 3 to the previous term:

2 + 3 = 5

5 + 3 = 8

8 + 3 = 11

11 + 3 = 14

And so on.

In general, the nth term of an arithmetic progression can be calculated using the formula:

an = a1 + (n - 1)d

where:

an is the nth term of the sequence

a1 is the first term of the sequence

the common difference between terms

n is the number of the term you want to find

So, if we wanted to find the 10th term of the sequence 2, 5, 8, 11, 14, ..., we would use the formula:

a10 = 2 + (10 - 1)3

a10 = 2 + 27

a10 = 29

Therefore, the 10th term of the sequence is 29.

To find the nth term of the sequence in the form of (n+a)² + b, we need to first find the values of a and b.

Let's begin by finding the difference between consecutive terms in the sequence:

The difference between the first and second terms is 22 - 15 = 7.

The difference between the second and third terms is 31 - 22 = 9.

We can observe that the difference between consecutive terms is not constant, which means that the sequence is not arithmetic. However, we can check if the second differences are constant:

The second difference is 2.

Since the second differences are constant, we can conclude that the sequence can be represented by a quadratic equation of the form (n² + an + b). Now, we need to solve for the values of a and b.

We know that the first term of the sequence is given by (1² + a1 + b) = 15. Similarly, the second term is given by (2² + a2 + b) = 22. We can write these equations as a system of linear equations:

a + b = 14 ...(1)

4a + b = 11 ...(2)

Solving these equations simultaneously, we get:

a = -3

b = 17

Therefore, the nth term of the sequence in the form of (n+a)² + b is:

(n-3)² + 17

So, for example:

The 1st term is (1-3)² + 17 = 9 + 17 = 26

The 2nd term is (2-3)² + 17 = 1 + 17 = 18

The 3rd term is (3-3)² + 17 = 0 + 17 = 17

The 4th term is (4-3)² + 17 = 1 + 17 = 18

The 5th term is (5-3)² + 17 = 4 + 17 = 21

and so on.

To know more about sequence visit:

brainly.com/question/28615767

#SPJ1

Answer:

B: rectangle JKLM ~ rectangle QRSP

Step-by-step explanation:

5/6=0.83

12.5=0.83

JK corresponds to QR

JM corresponds to PQ

rectangle JKLM ~ rectangle QRSP

Answer: 6miles

Step-by-step explanation: 6miles = 31680ft so 31680>31678

ok done. Thank to me :>

Answer:

Step-by-step explanation:

There is no unit on this 3 3/4 figure, so my assumption here is that velocity is given in furlongs per fortnight.

A furlong is one eighth of a mile, so Alex is walking 18 furlongs.

18 furlongs / 3.75 furlongs per fortnight gives us 4.8 fortnights. A fortnight is 2 weeks, so this figure comes to 67 days, 4 hours, and 48 minutes, if Alex does not stop for rest.

Answer:

the two triangles are similar as the angles in the first triangle are equal to the corresponding angles in the second triangle.

The number of years of employment is A. Nikhil has been with the company for 16 years, while Mae has been there for 4 years.

The system of equations given is:

x = 4y

x = 8 + 2y

You can solve the system by setting the two expressions for x equal to each other:

4y = 8 + 2y

2y = 8

2y / 2 = 8 / 2

y = 4

Substitute y = 4 into the first equation to solve for x:

x = 4 x 4

= 16

So, Mae (y) has been at the company for 4 years and Nikhil (x) has been at the company for 16 years.

Find out more on system of equations at https://brainly.com/question/3978002

#SPJ1

\( \sf \longrightarrow \: 5 \bigg( \: n - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{n}{1} - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{10 \times n - 1 \times 1}{1 \times 10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{10n - 1}{ 10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: \: \frac{50n - 5}{ 10} = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: \: 2(50n - 5) =1(10) \\ \)

\( \sf \longrightarrow \: \: 2(50n - 5) =10 \\ \)

\( \sf \longrightarrow \: \: 100n - 10=10 \\ \)

\( \sf \longrightarrow \: \: 100n =10 + 10\\ \)

\( \sf \longrightarrow \: \: 100n =20\\ \)

\( \sf \longrightarrow \: \:n = \frac{2 \cancel{0}}{10 \cancel{0}} \\ \)

\( \sf \longrightarrow \: \:n = \frac{1}{5} \\ \)

Answer:-

To solve the equation \(\sf 5(n - \frac{1}{10}) = \frac{1}{2} \\\) for \(\sf n \\\), we can follow these steps:

Step 1: Distribute the 5 on the left side:

\(\sf 5n - \frac{1}{2} = \frac{1}{2} \\\)

Step 2: Add \(\sf \frac{1}{2} \\\) to both sides of the equation:

\(\sf 5n = \frac{1}{2} + \frac{1}{2} \\\)

\(\sf 5n = 1 \\\)

Step 3: Divide both sides of the equation by 5 to isolate \(\sf n \\\):

\(\sf \frac{5n}{5} = \frac{1}{5} \\\)

\(\sf n = \frac{1}{5} \\\)

Therefore, the solution to the equation \(\sf 5(n - \frac{1}{10})\ = \frac{1}{2} \\\) is \(\sf n = \frac{1}{5} \\\), which corresponds to option (d).

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

The value of the given summation is:

\(\sum (29a_i - 13b_i) ]= -30\)

Here we know that the sums are:

\(\sum a_i = -10\\\\\sum b_i = -20\)

And we want to find the value of the sum:

\(\sum (29a_i - 13b_i)\)

First we can distribute the sum to get:

\(\sum 29a_i + \sum - 13b_i\)

And take the coefficients out of the sum:

\(29\sum a_i -13\sum b_i\)

Now replace the known values:

\(29\sum a_i -13\sum b_i = 29*-10 - 13*-20 = -290 + 260 = -30\)

Learn more about sums at:

https://brainly.com/question/30518693

#SPJ1

The temperature at the bottom of the mountain is 50.9 °C.

Let's work through the given information step by step to find the temperature at the bottom of the mountain.

The temperature in the hotel is 21 °C.

The temperature in the hotel is 26.7 °C warmer than at the top of the mountain.

Let's denote the temperature at the top of the mountain as T_top.

So, the temperature in the hotel can be expressed as T_top + 26.7 °C.

The temperature at the top of the mountain is 3.2 °C colder than at the bottom of the mountain.

Let's denote the temperature at the bottom of the mountain as T_bottom.

So, the temperature at the top of the mountain can be expressed as T_bottom - 3.2 °C.

Now, let's combine the information we have:

T_top + 26.7 °C = T_bottom - 3.2 °C

To find the temperature at the bottom of the mountain (T_bottom), we need to isolate it on one side of the equation. Let's do the calculations:

T_bottom = T_top + 26.7 °C + 3.2 °C

T_bottom = T_top + 29.9 °C

Since we know that the temperature in the hotel is 21 °C, we can substitute T_top with 21 °C:

T_bottom = 21 °C + 29.9 °C

T_bottom = 50.9 °C

Therefore, the temperature at the bottom of the mountain is 50.9 °C.

for such more question on temperature

https://brainly.com/question/14820864

#SPJ8

Using the z-distribution, the 95% confidence interval for the proportion is given as follows:

(0.4576, 0.5824).

A confidence interval of proportions is given by:

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which:

In this problem, we have a 95% confidence level, hence\(\alpha = 0.95\), z is the value of Z that has a p-value of \(\frac{1+0.95}{2} = 0.975\), so the critical value is z = 1.96.

The other parameters for the interval are given as follows:

\(n = 246, \pi = 0.52\).

The lower and upper bound of the interval, respectively, are given by:

\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.52 - 1.96\sqrt{\frac{0.52(0.48)}{246}} = 0.4576\)

\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.52 + 1.96\sqrt{\frac{0.52(0.48)}{246}} = 0.5824\)

More can be learned about the z-distribution at https://brainly.com/question/25890103

#SPJ1

Si Verónica, Ana y Luis están pintando una barda y se les paga un total de 300 unidades monetarias (por ejemplo, dólares, pesos, etc.), para determinar cuánto dinero debería recibir cada uno, necesitamos más información sobre cómo se distribuye el trabajo entre ellos.

Si los tres contribuyen de manera equitativa y realizan la misma cantidad de trabajo, podrían dividir el pago de manera igualitaria. En ese caso, cada uno recibiría 100 unidades monetarias (300 dividido entre 3).

Sin embargo, si uno de ellos realiza más trabajo o tiene una mayor responsabilidad en la tarea, podría ser justo que reciba una porción mayor del pago. En ese caso, la distribución de los 300 unidades monetarias dependerá de un acuerdo previo entre ellos sobre cómo se divide el pago en función de la cantidad o calidad del trabajo realizado.

Es importante tener en cuenta que la asignación exacta de dinero puede variar dependiendo de las circunstancias y el acuerdo al que lleguen Verónica, Ana y Luis.

This is a separable differential equation, which means we can separate the variables y and x on either side of the equation. To do this, we'll move all the terms involving y to one side and all the terms involving x to the other side.

dy/dx = (1+y²)e^x

We'll divide both sides by (1+y²)e^x:

dy/(1+y²)e^x = dx

Now we'll integrate both sides with respect to their respective variables. The integral of dy/(1+y²) with respect to y is the inverse tangent (tan^-1) function, so we'll use that on the left side:

∫ dy/(1+y²) = ∫dx + C

tan^-1(y) = x + C

On the right side, we'll integrate e^x with respect to x, which gives us e^x. So we have:

tan^-1(y) = e^x + C

We can solve for y by reversing the tan^-1 function:

y = tan(e^x + C)

Where C is an arbitrary constant of integration.

To learn more about differential equation :-

https://brainly.com/question/14620493