a new trendy restaurant is growing exponentially. after being open for 11 months the restaurant was serving an average of 310 customers a day. by month 15, the restaurant was serving about 456 customers a day. write an exponential function n(t) that models average number of customers, n, after t months of being open. if necessary, round any values to four decimal places (do not round on intermediate steps). write your answer in the form a(b)t

The ratio 7 to 8 can be written as the fraction 7/8, the decimal 0.875, and the percentage 87.5%.

First, let's write the ratio 7 to 8 as a fraction. A fraction represents a part of a whole. In this case, we can represent the ratio of 7 to 8 as the fraction 7/8.

The numerator (7) represents the first quantity being compared, and the denominator (8) represents the second quantity being compared.

Next, let's write the ratio 7 to 8 as a decimal. Decimals are a way of representing fractions in a base-ten number system.

To convert the fraction 7/8 to a decimal, we divide 7 by 8 using long division or a calculator.

The decimal equivalent of 7/8 is 0.875.

Finally, let's write the ratio 7 to 8 as a percent. Percentages are a way of representing a part of a whole as a fraction of 100.

To convert the ratio of 7 to 8 to a percentage, we multiply the decimal equivalent

=> (0.875) / 100 = 87.5%.

To know more about ratio here

https://brainly.com/question/28155993

#SPJ4

The confidence interval is (8.694, 9.905)

Look at the table:

A confidence statement for the mean weight for all cats.

Given output 95% confidence interval is: ( 8.694 , 9.905)

Thus we are 95% confident that the true mean weight for all cats is between 8.694 pounds to 9.905 pounds.

confidence interval is (8.694, 9.905)

a) Confidence statement for the mean weight for all cats is between 8.694 pounds to 9.905 pounds

b) t- value = 2.69, t-value = 0.011 < 0.5 level of significance, we reject the null hypothesis.

c) H₀ : μ = 8.5, the weight for all cats is different from 8.5 pounds.

Therefore, the mean weight for all cats is between 8.694 pounds to 9.905 pounds.

Learn more about null hypothesis here:

https://brainly.com/question/1462777

#SPJ4

Answer:

(-0.8, 2.2)

Step-by-step explanation:

Where the two lines intersect is the solution to the System of Equations.

Answer:

the answer would be (-0.8, 2.2) since it hasn't hit -3 yet and if it were to be -1 it would be in the bottom left

Answer:

75

Step-by-step explanation:

Each pound costs 75¢ so by each pound it increases by 75¢

Answer:

Step-by-step explanation:

1999/1000

Answer:

1999/1000

please mark me a brainlist

To compute the effect size, we can use the formula:

ES = (|Ž - X|) / SD

where Ž is the mean for Group 1, X is the mean for Group 2, and SD is the standard deviation from either group as the given question.

Using the given values, we have:

Experiment 1: ES = (|78.6 - 73.4|) / 2 = 2.6

Experiment 2: ES = (|78.6 - 73.4|) / 4 = 1.3

Experiment 3: ES = (|78.6 - 73.4|) / 8 = 0.65

From the experiments 1, 2, 3, we can see that the standard deviation increases, the effect size decreases.

It means that the larger SD makes it harder to detect a meaningful difference between the two groups.

To know more about standard deviation, visit: https://brainly.com/question/475676

#SPJ1

The equation that represents the total area of the pool and deck is: A(x) = 2x² + 24x + 64.

In algebra, a binomial is a polynomial that consists of two terms connected by either an addition or a subtraction operator. A binomial can be written in the form (ax + b) or (ax - b), where "a" and "b" are constants and "x" is a variable.

Binomials are used in a variety of algebraic operations, such as factoring, expanding, and solving equations. They also appear in binomial probability distributions and binomial theorem.

Let's start by drawing a diagram to visualize the problem:

___________      

|                       |    4 ft

|   _________|_________

|   |                   |                    |

|   |                   |                    |

|  |                    |                    |   2x

|  |                    |                    |

|  |_________|_________ |

|                       |    4 ft

|__________ |

      2w

The rectangular pool is twice as wide as it is long, so we can let the length be x, and the width be 2x.

The deck around the pool is 4 feet wide on each side, so the total width of the pool and deck is (2x + 8), and the total length is (x + 8).

Therefore, the total area of the pool and deck can be represented as:

(2x + 8)(x + 8)

Expanding the expression, we get:

2x² + 24x + 64

So the equation that represents the total area of the pool and deck is:

A(x) = 2x² + 24x + 64

where A(x) is the area of the pool and deck, and x is the length of the pool.

To know more about expression visit:

https://brainly.com/question/29492703

#SPJ1

The balance of Accounts Payable at the end of March is $83,900.

According to question;

Balance in the beginning Accounts payable account =$77,300

Add: Purchases made during the month on account  = $43,500                                                                          

Less: Cash already paid on account payable balance =$36,900

Balance at the end of march in Accounts payable  = $83,900

Therefore, balance left at the end of march is $83900.

Learn more about Account here;

https://brainly.com/question/24159657

#SPJ4

Answer:

£140 increased by 5% is £147.00

Answer:

it should be 147.00 , I'm so sorry if I'm wrong!

Answer:

if it random then I think that the student prob. is 1/3 because there are three options

Step-by-step explanation:

Answer: d. (if a polygon has congruent angles, then it is regular)

Step-by-step explanation:

Converses follow the format of "if q, then p" (while  the original conditional is "if p, then q")

Just because there are clouds does not mean its raining (cloudy days)

just because it has four equal sides does not make it a square (rhombi have four equal sides but are not squares)

just because you cannot see the sun does not mean it is not daytime (solar eclipses)

if a polygon is regular, it must have congruent angles

Your question has been heard loud and clear.

Among the two companies A and B , Company which is likely to sell more than 4000 stocks is company A , because company A assembled all the profit for the month and didnt invest it casually like company B. Hence company A has more money and is able to sell a good 4000 stocks.

Thank you

Answer:

\( {3}^{2h - 1} = {3}^{6} \times {3}^{3} \\ {3}^{2h - 1} = {3}^{9} \\ so...... \\ 2h - 1 = 9 \\ 2h = 10 \\ h = \frac{10}{2} = 5\)

Answer:

The correct answer to your query is the first choice.

Explanation:

The reason for it being; domain: x > 0; range: all real numbers is due to the fact that displayed on a graph (Simply plugging the equation into Desmos), we can see that the domain (In F(x), it would be the x), never reaches a number higher than zero, meaning it is smaller than. As for the range, we see that at any point it is a real number, so the range is all real numbers.

Hope This Helps!

The domain of the function is given by:

x > 5.

And the range is the set of all real numbers.

Here we want to find the domain of:

f(x) = log(x - 5).

You need to remember that the logarithmic function can only be evaluated in positive arguments, then the argument of our function must be positive, this means:

x - 5 > 0

Solving for x, we get:

x > 5.

This defines the domain.

And the range will be the same as the range of the log(x) function, which is the set of all real numbers.

If you want to learn more about domain and range, you can read:

https://brainly.com/question/1770447

Answer:

B?

Step-by-step explanation:

The solutions to each of the given expressions include the following:

3. (f+g)(x) = x²  + 3x + 1.

4. g⁻¹(x) = (x - 1)/2.

5. \((fog)^{-1}(x) = -\frac{3- \sqrt{3(-1+2x)} }{6} ,\;(fog)^{-1}(x) = -\frac{3+ \sqrt{3(2x-1)} }{6}\)

6. [f(x + h) - f(x)]/h = h + 2x + 1

In this exercise, we would determine the corresponding composite function of f(x) and g(x) under the given mathematical operations (addition) in simplified form as follows;

(f+g)(x) = x²  + x + 2x + 1

(f+g)(x) = x²  + 3x + 1

Part 4.

Next, we would determine the inverse function of g(x) as follows;

g(x) = y = 2x + 1

x = 2y + 1

2y = x - 1

g⁻¹(x) = (x - 1)/2

Part 5.

(f∘g)(x) = (2x + 1)²  + 2x + 1

(f∘g)(x) = 4x² + 4x + 1 + 2x + 1

(f∘g)(x) = 6x² + 6x + 2

x = 6y² + 6y + 2

\((fog)^{-1}(x) = -\frac{3- \sqrt{3(-1+2x)} }{6} ,\;(fog)^{-1}(x) = -\frac{3+ \sqrt{3(2x-1)} }{6}\)

Part 6.

f(x) = x² + x

f(x + h) = (x + h)² + (x + h)

f(x + h) = h² + 2hx + x² + x + h

f(x + h) - f(x) = h² + 2hx + x² + x + h - (x² + x)

f(x + h) - f(x) = h² + 2hx + x² + x + h - x² - x

f(x + h) - f(x) = h² + 2hx + h

By factorizing the function, we have;

f(x + h) - f(x) = h(h + 2x + 1)

\(Difference\; quotient = \frac{h(h + 2x + 1)}{h}\)

[f(x + h) - f(x)]/h = h + 2x + 1

Read more on difference quotient here: https://brainly.com/question/30782454

#SPJ4

The given mathematical expression is evaluated for the input values (2, 4). The result of the expression is calculated using various operations such as addition, multiplication, square root, natural logarithm, minimum, maximum, and function composition.

The expression f(x1, x2) involves several mathematical operations. Let's evaluate each part of the expression step by step:

1. The first term is 421 + 222, which equals 643.

2. The second term is 3x² + 213. Plugging in x1 = 2 and x2 = 4, we get 3(2)² + 213 = 3(4) + 213 = 12 + 213 = 225.

3. The third term is 5x11². Substituting x1 = 2 and x2 = 4, we have 5(2)(11)² = 5(2)(121) = 1210.

4. The fourth term is (√₁+√₂)². Replacing x1 = 2 and x2 = 4, we obtain (√2 + √4)² = (1 + 2)² = 3² = 9.

5. The fifth term is 10ln(₁). Plugging in x1 = 2, we have 10ln(2) = 10 * 0.69314718 ≈ 6.9314718.

6. The sixth term is (x₁+x₂)(x² + x3). Substituting x1 = 2 and x2 = 4, we get (2 + 4)(2² + 4³) = 6(4 + 64) = 6(68) = 408.

7. The seventh term is min(3r1, 10√2). As we don't have the value of r1, we cannot determine the minimum between 3r1 and 10√2.

8. The eighth term is max{5x1,2r2}. Since we don't know the value of r2, we cannot find the maximum between 5x1 and 2r2.

9. Finally, we have MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2), which are not defined or given.

Considering the given expression, the evaluated terms for the input values (2, 4) are as follows:

- 421 + 222 = 643

- 3x² + 213 = 225

- 5x11² = 1210

- (√₁+√₂)² = 9

- 10ln(₁) ≈ 6.9314718

- (x₁+x₂)(x² + x3) = 408

The terms involving min() and max() cannot be calculated without knowing the values of r1 and r2, respectively. Additionally, MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2) are not defined.

To learn more about logarithm click here: brainly.com/question/30226560

#SPJ11

The value of the expression is −10,077,696

The expression is given as:

negative one sixth cubed all raised to the power of negative 3?

Rewrite properly as:

(-1/6^3)^-3

Evaluate the exponent of 6 to 3

So, we have:

(-1/216)^-3

Apply the law of negative exponent

So, we have

(-216)^3

Evaluate the exponent

−10,077,696

Hence, the value of the expression is −10,077,696

Read more about expressions at:

brainly.com/question/723406

#SPJ1

Answer: 2/7

Step-by-step explanation:

The given equation, 9(-5 + x) = - 108, solved for x is x = -7

From the question, we are to solve the given equation,

From the given information,

The given question is

9(-5 + x) = - 108

Solving the equation

9(-5 + x) = - 108

Divide both sides of the equation by 9

9(-5 + x)/9 = - 108/9

(-5 + x) = - 12

-5 + x = -12

Add 5 to both sides of the equation

-5 + 5 + x = -12 + 5

x = -7

Hence, the solution is x = -7

Learn more on Solving linear equations here: https://brainly.com/question/27882730

#SPJ1

Answer:

Step-by-step explanation:

The amount received by Monica is $31.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that Monica sold 3 pairs of her old Slick Sprinter sneakers at the Re-Laced secondhand store. Before she left, Monica spent $13 of her earnings on a used pair of boots. She had $8 remaining.

The amount will be calculated as below:-

Amount = ( 13 x 3 ) - 8 = $31

Therefore, the amount received by Monica is $31.

To know more about an expression follow

https://brainly.com/question/24536701

#SPJ2

Answer: 12

Step-by-step explanation:

Following PEMDAS, I’ll solve the multiplication first and then add or subtract the values from left to right.

1-2+5-2+5x2

1-2+5-2+10

-1+5-2+10

4-2+10

2+10

12

Answer:

12

Step-by-step explanation:

You need to use the order of operations, PEMDAS. It stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

First, multiplication on 5x2 so now it is 1-2+5-2+10.

Next, is addition and subtraction. When it says left to right you are starting with the part of the equation closest to the left, so 1-2=-1. Then add five to get 4. Subtract 2 to get 2. Finally, add 10 to get 12.

Hope you get an A! <3

Answer:

4.2 inches when rounded

Step-by-step explanation:

volume = pi(r²)h

155.09088in³ = pi(r²)2.8

÷2.8 ÷2.8

55.3896 =pi(r²)

÷pi ÷pi

17.6310572718 = (r²)

Then you have to square root both sides (I tried to use the radical symbol but it didnt work, sorry :( )

After you square root it you should get

4.1989352545 = r

Answer:

4.2 inches(rounded)

Step-by-step explanation:

Hope im right :)

Answer:

5x-18=4x+7 ( vertical opposite angle)

5x-4x=7+18

x=25

Hi there!  

»»————-　★　————-««

I believe your answer is:  

\(2\sqrt{7}\text{ } in.\)

»»————-　★　————-««  

Here’s why:  

\(\rule{150}{0.5}\\$\bullet \text{ Area of a square is: } a^2\\\text{ } \rightarrow a - \text{given side}\\\rule{150}{0.5}\\a = \sqrt{28}\\\\\rightarrow 28 \text{ can be factored to } 2 * 2 * 7\\\\\rightarrow\sqrt{28}\\\\\rightarrow \sqrt{2*2*7}\\\\\rightarrow \boxed{2\sqrt{7}}\\\rule{150}{0.5}\)

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

The length of a side of a square in inches is approximately 5.29 inches.

A square is a four sided polygon where each side are equal and each angle equal to 90 degrees.

The formula to find the area of a square is,

Area of a square = a²,

where "a" is the side length of the square.

Given, area of the square = 28 square inches.

Let "a" be the side length of the square.

a² = 28

a = √28 inches ≈ 5.29 inches.

Hence the length of a side is 5.29 inches.

Learn more about Area of a Square here :

https://brainly.com/question/11505374

#SPJ2