which expression is equivalent to 1/4 n - 16

a 1/4 (n-4)

b 1/4 (n-64)

c 4(n-4)

d 4(n-64)​

Answer:

A: 5 cm2

B: 9 3/8 cm2

Step-by-step explanation:

Question A:

4 x 1 1/4

4/1 x 5/4 = 20/4

20/4 = 5 cm2

Question B:

3 3/4 x 2 1/2

15/4 x 5/2 = 75/8

75/8 = 9 3/8 cm2

Therefore , the solution of the given problem of graph comes out to be option A f(n) = 7 - 2(n-1)

Theoretical physicists use graphs to analytically chart or visually represent claims rather than values. A graph point typically depicts the relationship between any number of things. A specific type of non-linear train assembly made up of clusters and lines is known as a graph. Glue should be used to connect the networks, also referred as the boundaries. In this network, the nodes had the numbers 1, 2, 3, and 5, whilst edges had the numbers 1, 2, 3, and 4, as well as the numbers (2.5), (3.5), (4.5), and yet also (4.5). (4.5).

Here,

We can use the following method to determine the general term of an arithmetic series:

=> f(n) = a + (n-1)d

where the usual difference is "d" and "a" is the first term.

Since the series begins at 7, "a" is 7, as shown by the graph. Additionally, since each term reduces by 2, we can see that the common difference is 2.

Consequently, the following is the arithmetic sequence's stated rule:

A) f(n) = 7 - 2(n-1)

To know more about graphs visit:

https://brainly.com/question/11950136

#SPJ1

The area of the regular hexagon with a side length of 12 feet and an apothem of 10 feet is \(216\sqrt{3}\) feet.

To find the area of a regular hexagon, you can use the formula:

\(Area = (3 *\sqrt{3} *side~length^2) : 2\)

Given that the side length of the hexagon is 12 feet, we can substitute this value into the formula:

Area = \((3 * \sqrt{3} * 12^2) : 2\)

Simplifying further:

Area = \((3 * \sqrt{3} * 144) : 2\)

Area = \(216\sqrt{3}\)

Therefore, the area of the regular hexagon with a side length of 12 feet and an apothem of 10 feet is \(216\sqrt{3}\) feet.

Learn More About  the area of the regular hexagon https://brainly.com/question/9143630

#SPJ11

The area of the regular hexagon with a side length of 12 feet and an apothem length of 10 feet is approximately 936 square feet.

To find the area of a regular hexagon, you can use the formula:

Area = (3 × √3 × s²) / 2,

where "s" represents the length of a side.

Given that the side length (s) of the hexagon is 12 feet, we can substitute this value into the formula:

Area = (3 × √3 × s²) / 2

Area = (3 × √3 × 12²) / 2

= (3 × √3 × 144) / 2

= (3 × √3 × 144) / 2

= (3 × √3 × 12 × 12) / 2

= (3 × √3 × 144) / 2

= (3 × √3 × 144) / 2

= (3 × √3 × 144) / 2

= (3 × √3 × 144) / 2

= (3 × √3 × 144) / 2

= (3 × √3 × 144) / 2

≈ 936 square feet.

Therefore, the area of the regular hexagon with a side length of 12 feet and an apothem length of 10 feet is approximately 936 square feet.

Learn more about area at https://brainly.com/question/23386416

#SPJ11

Answer:

approximately 43 - 44 minutes exact

Answer:

It would take you 2917 hours.

Step-by-step explanation:

Do 777,777,777 divided by 266,560.

I hope this helped at all.

The maximum number of customers in the store occurs 5 hours after 7:00 a.m., and there are 75 customers at that time.

The function y = -x^2 + 10x + 50 represents the number of customers in the grocery store, with x representing the number of hours after 7:00 a.m.

To find the time when the maximum number of customers is in the store, we need to identify the vertex of the parabolic function. The x-coordinate of the vertex can be found using the formula x = -b / (2a), where a = -1 and b = 10 in this case.

Plugging in the values, we get x = -10 / (2(-1)) = 5.

Therefore, the maximum number of customers occurs 5 hours after 7:00 a.m.

To determine the number of customers at that time, we substitute x = 5 into the function: y = -(5)^2 + 10(5) + 50 = 75.

Hence, at the time of maximum customers, there are 75 customers in the store.

Learn more about Numbers click here :brainly.com/question/3589540

#SPJ11

Answer:

W

Step-by-step explanation:

hope this helps

The absolute value of x=5 is 5.

The absolute value of a number is its positive equivalent of the number

For instance, the absolute value of -5 is 5 and the absolute value of 5 is also 5.

Generally, it is denoted by the symbol |x|.

So, we have

The absolute value of x=5

This gives

x = |5|

Evaluate

x = 5

Read more about absolute value at

https://brainly.com/question/24368848

#SPJ1

Answer:

3 people 4 hours and and one person 12 hours

Step-by-step explanation:

your welcome

Answer:

50=0.75x

Step-by-step explanation:

0.75 is how much each ticket costs.

x is how many tickets

50 dollars is how much you make.

We put 0.75 and x together since they both depend on each other.

y=mx+b

50=0.75x

The equation representing the total money in selling the tickets is

y = 0.75x + 50 where y is the total money and x is the number of tickets sold.

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, you are selling tickets, you make $50 for signing up to sell tickets, and you also make $0.75 for each ticket you sell.

The slope-intercept form of an equation is;

y = mx + c, where m is the slope of the line.

Let y represents the total money earned for selling the tickets and x be the number of tickets sold.

The equation will be;

y = 0.75x + 50, where 0.75x is cost for selling x tickets and 50 is fixed amount.

Hence, The equation representing the total money in selling the tickets is y = 0.75x + 50 where y is the total money and x is the number of tickets sold.

For more references on equations, click;

https://brainly.com/question/10413253

#SPJ2

a. Bisection Method: To use the bisection method to find the real roots of the equation f(x) = x³ + x² - 10x + 8, we need to find an interval [a, b] such that f(a) and f(b) have opposite signs.

Let's make a preliminary estimate and choose the interval [1, 2] based on observing the sign changes in the equation.

Iteration 1: a = 1, b = 2

c = (a + b) / 2

= (1 + 2) / 2 is 1.5

f(c) = (1.5)³ + (1.5)² - 10(1.5) + 8 ≈ -1.375

ince f(c) has a negative value, the root lies in the interval [1.5, 2].

Iteration 2:

a = 1.5, b = 2

c = (a + b) / 2

= (1.5 + 2) / 2 is 1.75

f(c) = (1.75)³ + (1.75)² - 10(1.75) + 8 ≈ 0.9844

Since f(c) has a positive value, the root lies in the interval [1.5, 1.75].

Iteration 3: a = 1.5, b = 1.75

c = (a + b) / 2

= (1.5 + 1.75) / 2 is 1.625

f(c) = (1.625)³ + (1.625)² - 10(1.625) + 8  is -0.2141

Since f(c) has a negative value, the root lies in the interval [1.625, 1.75].

Iteration 4: a = 1.625, b = 1.75

c = (a + b) / 2

= (1.625 + 1.75) / 2 is 1.6875

f(c) = (1.6875)³ + (1.6875)² - 10(1.6875) + 8 which gives 0.3887.

Since f(c) has a positive value, the root lies in the interval [1.625, 1.6875].

Iteration 5: a = 1.625, b = 1.6875

c = (a + b) / 2

= (1.625 + 1.6875) / 2 is 1.65625

f(c) = (1.65625)³ + (1.65625)² - 10(1.65625) + 8 is 0.0873 .

Since f(c) has a positive value, the root lies in the interval [1.625, 1.65625].

Iteration 6: a = 1.625, b = 1.65625

c = (a + b) / 2

= (1.625 + 1.65625) / 2 which gives 1.640625

f(c) = (1.640625)³ + (1.640625)² - 10(1.640625) + 8 which gives -0.0638.

Since f(c) has a negative value, the root lies in the interval [1.640625, 1.65625].

teration 7: a = 1.640625, b = 1.65625

c = (a + b) / 2

= (1.640625 + 1.65625) / 2 results to 1.6484375

f(c) = (1.6484375)³ + (1.6484375)² - 10(1.6484375) + 8 is 0.0116

Since f(c) has a positive value, the root lies in the interval [1.640625, 1.6484375].

Continuing this process, we can narrow down the interval further until we reach the desired level of accuracy.

b. Newton-Raphson Method: The Newton-Raphson method requires an initial estimate for the root. Let's choose x₀ = 1.5 as our initial estimate.

Iteration 1:

x₁ = x₀ - (f(x₀) / f'(x₀))

f(x₀) = (1.5)³ + (1.5)² - 10(1.5) + 8 which gives -1.375.

f'(x₀) = 3(1.5)² + 2(1.5) - 10 which gives -1.25.

x₁ ≈ 1.5 - (-1.375) / (-1.25) which gives 2.6.

Continuing this process, we can iteratively refine our estimate until we reach the desired level of accuracy.

c. Secant Method: The secant method also requires two initial estimates for the root. Let's choose x₀ = 1.5 and x₁ = 2 as our initial estimates.

Iteration 1: x₂ = x₁ - (f(x₁) * (x₁ - x₀)) / (f(x₁) - f(x₀))

f(x₁) = (2)³ + (2)² - 10(2) + 8 gives 4

f(x₀) = (1.5)³ + (1.5)² - 10(1.5) + 8 gives -1.375

x₂ ≈ 2 - (4 * (2 - 1.5)) / (4 - (-1.375)) gives 1.7826

Continuing this process, we can iteratively refine our estimates until we reach the desired level of accuracy.

To know more about Bisection Method visit-

brainly.com/question/32563551

#SPJ11

The milk will be served in cups to make it easier for them to consume, we are switching from the larger unit (i.e. quarts) to the smaller unit (i.e. cups).

4 cups or 2 pints are equivalent to one quart (qt). We can switch to utilizing gallons if we still need extra liquid. 16 cups, 8 pints, or 4 quarts make up a gallon (gal). It is a measurement of the largest liquid.

Servings per cup are divided at a rate of 9 servings to 3 cups, or 3 servings per cup. In a quart, there are 4 cups. In 2 quarts, there are 8 cups. In 4 quarts, there are 16 cups.

Servings per cup are divided at a rate of 9 servings to 3 cups, or 3 servings per cup.

1 quart = 4 cups

2 quarts = 2 × 4 quarts = 8 cups

3 servings/cup × 8 cups = 24 servings

The complete question is:

A recipe uses 3 cups of milk to make 9 servings. If the same amount of milk is used for each serving, how many servings can be made from two quarts?

1 gallon = 4 quarts

1 quart = 2 pints

1 pint = 2 cups

1 cup = 8 fluid ounces

Before you try that problem, answer the question below.

How many cups will you need to find the number of servings for?

To learn more about quart and cups refer to:

https://brainly.com/question/3071800

#SPJ4

Answer:

37.68 ft

Step-by-step explanation:

d = 2r = 2*6 = 12

so C = 3.14 * 12 = 37.68 ft

Answer:

2m-3

Step-by-step explanation:

The expression should be 2m-3 because it is stating that Robert had 3 less then 2m, not 2m less than 3.

Answer:

bottum one

Step-by-step explanation:

Answer:

Step-by-step explanation:

See attached worksheet

There is a mistake in the third option. The sum of polynomials is,

6x³ + 2x² + 2x - 8.

Use the concept of polynomial defined as:

An expression that contains exponents, variables, and constants that is combined using mathematical operations such as addition, subtraction, multiplication, and division is known as a polynomial.  

The given polynomials are,

x³ + 5x² - 7 and 5x³ - 3x² + 2 - 1

Now add these polynomials,

(x³ + 5x² - 7) + (5x³ - 3x² + 2x - 1)

Rearrange like terms,

x³ + 5x³  + 5x² - 3x² + 2x - 7 - 1

6x³ + 2x² + 2x - 8

In the third step, the final expression which is shown is incorrect.

For this step, the correct expression is 6x³ + 2x² + 2x - 8.

Hence,

There is a mistake in the third option.

The sum of polynomials is 6x³ + 2x² + 2x - 8.

To learn more about polynomials visit:

https://brainly.com/question/11536910

#SPJ3

\(y {}^{2} + 3 {}^{2} = 5 {}^{2} \)

\(y {}^{2} = 25 - 9 = 16\)

\(y = \sqrt{16} = 4\)

\(x ^{2} = {y}^{2} + 7 {}^{2} \)

\(x {}^{2} = 4 {}^{2} + 7 {}^{2} \)

\(x {}^{2} = 16 + 49\)

\(x {}^{2} = 65\)

\(x = \sqrt{65} \)

Answer:

c is the answer for this hope it helps

Answer:

Step-by-step explanation:

The first two options don't make sense as absolute value is always positive.

The third option requires the answer to be within one interval but our answer is the combination of two intervals.

Let's verify if the last option is correct:

So this option is matching the graph

The correct statement is :David started at 0 instead of 2

A number line is a horizontal line that has equally spread number increments. The numbers included on the line will determine how the number on the line can be answered. The question that goes with the number determines how it will be used, for example, plotting a point.

Given here: In a number line the interval (-5,5) is marked and 2 to 5 is 3

The right steps are

Add 3 to 2 to obtain the required number as there are 3 spaces between 2 and 5

Thus 2+3=5 which is the required answer

but David addes 2-3=-1 which is incorrect.

Hence, David started at 0 instead of 2

Learn more about the number line here:

https://brainly.com/question/16901376

#SPJ1

Answer:

29598

Step-by-step explanation:

8+990+6600+22000

( alternative answer 2.9598x10 to the power of 4)

Answer:

29,598

Step-by-step explanation:

8x1+990+6600+22000

998+2200+6600

=29,598

The fraction of 2 hrs 15 minutes to 1/4 of an hour is 1/9.

What is fraction?

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

Since,

1 hour = 60 minutes.

2 hours = 120 minutes.

2 hours 15 minutes = 120 + 15 = 135 minutes.

1/4 of an hour = 60/4 = 15 minutes.

So, the fraction is,

\(\frac{15}{135} = \frac{1}{9}\)

Therefore, the fraction of 2 hrs 15 minutes to 1/4 of an hour is 1/9.

To know more about the fraction, click on the link

https://brainly.com/question/78672

#SPJ13

Answer:

37

Step-by-step explanation:

h(x) = x² - 5x + 7

First let's just look at the h(-8) before we add the 1/3. Substitute the -8 into the place of x.

h(-8) = (-8)² - 5(-8) + 7

h(-8) = 64 + 40 + 7

h(-8) = 111

Now let's add the 1/3.

1/3 · h(-8) = 1/3 · 111 = 37

The answer is 37.

Answer:

1- OII

2- ONI

3-OII

4-ONI

5-ONI

6-ONI

7-ONI

8-OII

9-OII

10-OII

I'm not sure if it's all right :,)

Answer:

The answer is D

Step-by-step explanation:

Answer:

-7/9

Step-by-step explanation:

Using the slope formula

m = ( y2-y1)/(x2-x1)

   = ( 6-13)/(10-1)

    = -7/9

Answer:

because a percent is out of 100 and it takes 60 out of 100 squares. I hope that helped :)

Step-by-step explanation:

60 out of 100 squares.

Two crucial tasks inherent in the initial stage of group therapy are orientation and establishing group norms.Ambiguity and lack of a structured approach in groups often lead to confusion, inefficiency, and potential challenges.

Orientation involves providing essential information to group members about the purpose, goals, and guidelines of the therapy group.

It helps individuals understand what to expect, builds trust, and creates a sense of safety and predictability within the group. Orientation may include discussing confidentiality, group rules, expectations, and addressing any questions or concerns.

Establishing group norms involves collaboratively developing shared guidelines and expectations that govern the behavior and interactions within the group. This process allows group members to contribute to the creation of a supportive and respectful group climate. Group norms help set boundaries, encourage open communication, and foster a sense of cohesion among members.

Without clear structure and guidance, group members may struggle to understand their roles, goals, or the process of the group therapy. Ambiguity can hinder progress, create frustration, and impede meaningful communication.

Lack of structure may also result in difficulty managing conflicts, decision-making, or time management within the group. It can lead to unequal participation, power struggles, and a lack of accountability.

To address these issues, it is important for group therapy to provide a clear framework, establish ground rules, and facilitate structured activities or interventions that promote clarity, engagement, and progress. A structured approach helps create a supportive environment, enhances group dynamics, and maximizes the therapeutic benefits of the group process.

For more such questions on tasks

https://brainly.com/question/30157542

#SPJ8

Tyrone needs to work as a host for 12 hours to earn enough money to buy the guitar.

Let x be the number of hours Tyrone works as a host in the next week. Then, the total amount earned by Tyrone next week is given by:

Total earnings = (hours worked as cashier × rate per hour) + (hours worked as host × rate per hour)

We know that Tyrone will work as a cashier for 18 hours, so the total amount he will earn is: 18 × $7.95 = $143.10We also know that the total cost of the guitar is $238.50.Thus, the amount of money Tyrone still needs to earn is:$238.50 - $143.10 = $95.40

To find out how many hours Tyrone needs to work as a host, we need to use the rate per hour, which is $7.95 per hour. Let x be the number of hours he works as a host. Then, the total amount he earns from working as a host is:$7.95xSo, we need to solve the equation:$7.95x = $95.40. Dividing both sides by $7.95 gives us :x = 12Therefore, Tyrone needs to work as a host for 12 hours to earn enough money to buy the guitar.

Know more about Time and work here:

https://brainly.com/question/19382734

#SPJ11