if the length of an arc is 12π inches and the radius of the circle us 10 inches, what is the measure of the arc?

Answer:

only A. and E.

Step-by-step explanation:

The answer would be option(A) and (E) are show a geometric series.

A. 2 + 3 + 4.5 + 6.75 + …

E. 8 + 4 + 2 + 1 + …

Geometric sequence or series is defined as a sequence of numbers such that the next term is either increasing or decreasing by a specific ratio referred to as a geometric sequence.

The standard equation for geometric series as:

Tₙ = a₁ rⁿ⁻¹

where a₁ is the first term and r is the common ratio.

A. 2 + 3 + 4.5 + 6.75 + …

Here, first term a₁ = 2 ,

The common ratio r = 3/2 = 4.5/3 = 6.75/4.5 = 1.5

So, this is a geometric series.

E. 8 + 4 + 2 + 1 + …

Here, first term a₁ = 8 ,

The common ratio r = 4/8 = 2/4 = 1/2 = 0.5

So, this is a geometric series.

Hence, the option(A) and (E) are show a geometric series.

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The required measure of the number of pounds of berries each person would receive is 1.562 pounds.

Given that,
One of the baskets has 3 3/8 pounds of berries and the other basket has 2 7/8 pounds of berries. She split the berries evenly among 4 people. Which measure is the best estimate for the number of pounds of berries each person would receive is to be determined.

In mathematics, it deals with numbers of operations according to the statements.

Total number of berries = 3 3 /8 + 2 7/8
                                        = 5 5 /4 = 25 / 4 pounds

Number of people = 4
pounds of berries each people can have,
=  25/ 4 / 4= 25 / 16
 = 1.562 pounds            

Thus, the required measure of the number of pounds of berries each person would receive is 1.562 pounds.    

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To serve 73 people at a party, 4 cakes are needed since each cake serves 24 people and it is not possible to have a fraction of a cake.

To determine how many cakes are needed for a party with 70 guests and 3 staff members, we need to calculate the total number of servings required and then divide this by the number of servings each cake provides.

First, we add the number of guests and staff to find the total number of people at the party:

Each cake serving is designed to serve 24 people. We divide the total number of people by the number of servings per cake to find out how many cakes are needed:

(Total number of people) ÷ (Servings per cake) = Number of cakes

73 ÷ 24 = 3.04166667

Since you cannot have a fraction of a cake, you need to round up to the next whole number. Therefore, you need 4 cakes to have enough servings for everyone at the party.

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4 cakes are needed for the party to ensure that each of the 70 guests and 3 staff members receives a serving of cake.

To determine the number of cakes needed, we must first calculate the divide that number by the number of servings each cake provides.

 First, we add the number of guests to the number of staff:

70 guests + 3 staff = 73 people in total.

 Next, we need to ensure that each person gets one serving of cake. Since each cake serves 24 servings, we divide the total number of people by the number of servings per cake:

73 people · 24 servings per cake = 3 cakes with some servings left over.

 Since we cannot serve a fraction of a cake, we must round up to the nearest whole number to ensure that there are enough servings for everyone. Therefore, we need 4 cakes in total to serve all 73 people at the party.

 In conclusion, 4 cakes are needed for the party to ensure that each of the 70 guests and 3 staff members receives a serving of cake.

The probability you will pick two black marbles out of the bag without replacing the first one chosen is, 1 / 7.

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Given that;

There are 3 black marbles and 4 red marbles in a bag.

Hence, Total number of marbles = 3 + 4 = 7

Thus, The probability you will pick one black marbles out of the bag is,

⇒ 3 / 7

And, The probability you will pick another black marbles out of the bag is,

⇒ 2 / 6

⇒ 1 / 3

Thus, The probability you will pick two black marbles out of the bag without replacing the first one chosen is,

⇒ 3/7 × 1/3

⇒ 1/7

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Answer:

the answer is D

Step-by-step explanati

The slope value of the line drawn is 2

Choosing the points to be used to calculate the slope from the graph;

Slope = Rise / Run

This means:

Slope = -6/-3

slope = 2

Therefore, the value of the slope is 2

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Answer:

Step-by-step explanation:

Alright, lets get started.

We are given an angle -308 degrees.

A co-terminal angle is an angle which shares the same terminal side of the angle given.

We are asked to find its positive co-terminal angle.

When we find positive co-terminal angle, we add 360 degrees in given angle, so

positive co-terminal angle is : [tex]-308+360=52[/tex]

So, the answer is 52 degree.   :   Answer

Hope it will help :)

Answer: The point estimate of the proportion of resident who are against expanding the airport is 0.745.

Step-by-step explanation:

Since we have given that

A reporter determined that the true proportion of residents in a city who are against expanding the airport is likely in the interval (0.71, 0.78).

So, we need to find the point estimate of the proportion of residents who are against expanding the airport.

So, Point estimation of the proportion of resident would be

[tex]\dfrac{0.78+0.71}{2}\\\\=\dfrac{1.49}{2}\\\\=0.745[/tex]

Hence, the point estimate of the proportion of resident who are against expanding the airport is 0.745.

Isolate b1 in the equation A=12h(b1+b2) by first subtracting 12h*b2 from both sides and then divide both sides by 12h. The result is b1 = (A - 12h*b2) / 12h.

In order to solve the equation A=12h(b1+b2) for b1, we need to isolate b1. We begin by subtracting the product of 12h times b2 from both sides of the equation. This gives us A-12h(b2) = 12h(b1).

Next, we divide both sides of the equation by 12h to solve for b1, resulting: b1 = (A - 12h*b2) / 12h.

So, if you can determine the values of A, b2, and h from your problem, you can substitute those in to get your solution for b1.

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Answer: the answer is C. 45.

Answer:

The amount of Mark's Total payment is $9478.15.

Step-by-step explanation:

Given : Mark borrowed $5,500 at 11.5 percent for five years.

To find : What is the amount of Mark's total payment?          

Solution :

Using compound interest formula,

[tex]A=P(1+r)^t[/tex]

Where A is the amount, 

P is the principle P=5,500  

r is the rate r=11.5%=0.115

t is the time t= 5 years

Substitute the value,

[tex]A=P(1+r)^t[/tex]

[tex]A=5500(1+0.115)^5[/tex]

[tex]A=5500(1.115)^5[/tex]

[tex]A=5500(1.7233)[/tex]

[tex]A=9478.15[/tex]

Therefore, The amount of Mark's Total payment is $9478.15.

Answer: it would be a good deal because if you do you 1/3x (3.14) or pie x (5) cause it’s the diameter and 10 divided by 2 is 5

Step-by-step explanation:

To calculate the force exerted by the wind blowing against the side of the building, you can use the formula f = 0.004av², where f is the force, a is the area of the surface, and v is the wind velocity. Given the wind velocity of 81 mi/h, you need to determine the area of the surface to calculate the force.

The formula to calculate the force exerted by a wind blowing against a flat surface is given as f = 0.004av², where f is the force in pounds, a is the area of the surface in square feet, and v is the wind velocity in miles per hour.

In this case, we are given that the wind velocity is 81 mi/h. To calculate the force exerted by the wind, we need to know the area of the surface.

Once we have the area, we can substitute the values into the formula and calculate the force.

The set of all numbers on a number line is called the "Real Numbers".

Any number that can be represented as the ratio of two integers and where the denominator is not zero is referred to as rational.

The set of all numbers on a number line is called the "Real Numbers".

A number that has an equivalent terminating or repeating decimal is called a "Rational Number".

A number that has an equivalent decimal that is non-repeating is called an "Irrational Number".

Any number that can be written as a fraction of integers is a "Rational Number".

Hence, the set of all numbers on a number line is called the "Real Numbers".

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Answer:

|x-1| / | x-1 | = 1

Step-by-step explanation: