Circle O shown below has an arc of length 34 inches subtended by an angle of 2.1 radians. Find the length of the radius, x, to the nearest tenth of an inch.

A dime has a thickness of 1 7/20 mm and a penny has 1 1/2 mm.

Stacking both coins, we will have :

and we have the inequality :

Note that 1 7/20 is less than 1 1/2, so the inequality symbol is "<"

since 1 1/2 + 1 1/2 is equal to 3mm

Therefore, the thickness of stacking coins is less than 3mm

Hailey's estimate is correct (Yes)

Solution:

We are required to find the coordinates of the vertex for x^2+ 5x - 24 = 0​

To get the y coordinate, substitute x = -5/2 into the equation

Hence, the coordinate of the vertex is (-2.5, -30.25)

Answer:

$4.35

Step-by-step explanation:

8 weeks = $34.80

1 week = x

Cross-multiply

$34.80/8

=$4.35

So, for each week, Paige will pay $4.35

$(4.35 × 8 = 34.8)

Given the Domain and the Range of the relation, you need to remember that the Domain is the set of all input values (x-values), and the Range is the set of all the output values (y-values).

Therefore, knowing the input values and the corresponding output values indicated in the Diagram, you can write the following ordered pairs:

Notice that they have this form:

Where "x" is the x-coordinate of the point, and "y" is the y-coordinate.

Therefore, you need to plot all the points on the Coordinate Plane in order to express the relation as a graph.

Hence, the answer is:

In this problem, we have the transformations

option B (shift the graph of f(x) 4 units up

option C reflect the graph of f(x) over the y-axis

We have the distribution;

74, 90, 21, 68, 62, 84, 34, 87,74.

Let's arrange this from ascending to descending order, we obtain;

i. The mean or average of this distribution is

ii. The median is the central value, in this distribution, there are 9 values, so the median value is the 5th value.

iii. The mode is the value with the highest frequency, this is the most occurring value, in this distribution;

iv. The range is the difference between the highest and lowest values, this is;

Given the sequence:

1/2, 3/4, 9/8, 27/16, ..........

We are to find the recursive formular

A recursive geometric formular has a pattern:

An = An - 1 * r

Where r is the common ratio. But before we write the formular, we need to look for the value of r.

This r value has to be the same between each consecutive number in the series.

Sinces it's geometric, r is multiplied in. To get from 1/2 to 3/2 we find the r value in this way:

x/2 = 3/4 where x/2 is the same as 1/2 x.

Cross multiply to get 4x = 6 and x = 3/2.

That means that if r is 3/2, then we can multiply every term in that sequence by 3/2 to get the next term in line.

3/4 times 32 is 9/8. So, r = 3/2 and the formulat is:

An = An - 1 * 3/2

Therefore, the crrect optio is B.

f(x) = x +57

g(x) =7x+15

The solution is (7,64). To rent the cabin for 7 days cost $64

1) Let's examine the graph. We can see two linear equations.

Picking two points for f(t) = (7,64) and (0,57) and for g(t) (0,15) and (7,64) let's find out their respectives slopes:

2) For f(t) , let's plug into the slope-intercept formula, plugging one point:

(0,57)

y=mx+b

57=0x +b

57= b

So the rule for the function is, in terms of f(x) = x +57

(0,15)

y=mx +b

15=0x +b

15 =b

So the rule for the function g(t) , in terms of g(x) is g(x) =7x+15

Interpreting the solution:

The solution to this Linear System of Equations is the common point (7,64).

So filling in the blanks we have:

The solution is (7,64). To rent the cabin for 7 days cost $64

The equation is,

The equation can be solved if on right side there is only variable with any number in multiplication. So equation can be solved as,

So to eliminate -2/3

The translation of a function to the left or to the right is a horizontal translation. Horizontal translation can be defined as the movement toward the left or right of the graph of a function by the given units. It should be noted that the shape of the function remains the same. The horizontal translation is also known as the movement/shifting of the graph along the x-axis. For any base function f(x), the horizontal translation by a value k can be given as

If the function is shifted to the right, the translation function would be

If the function is shifted to the left, the translation would be

If the graph of y = x² has been translated 7 units to the left. The equation of the resulting parabola would be

Hence the equation of the resulting parabola is (x+7)²

The RELATION 1 and 3 represent a function

Rationale

There are no x value with several y values.

For a relation to be a function, there should only one y value fot each x

Solution

For this case we have the following dimensions:

x = 3 3/4 = 15/4

y= 3 1/3 = 10/3

z= 2 1/2 = 5/2

Then we can find the volume with the following formula:

Then we can convert to cm^3 like this:

We have the following:

solving using substitution:

for y:

The answer is (1, 10)

The value of b is 11.

From the question, we have

ax² + bx + c

using (0, 9)

substituting the value  we get

9 = a(0)² + b(0) + c

c = 9

Therefore,

-1 = a(-1)² + b(-1) + c

-1  = a - b + 9

-1 - 9 = a - b

a - b = - 10

using (-2, -9)

-9 = a(-2)² + b(-2) + 9

-9 - 9 = 4a - 2b

-18 = 4a - 2b

2a - b = -9

combine the equation

a - b = - 10

2a - b = -9

solving the equations we get

a = 1

Then,

1 - b = -10

b = 1 + 10

b = 11

Hence, the value of b is 11.

Subtraction:

The process of removing items from a collection is represented by subtraction. Subtraction is represented by the minus sign. If, for instance, there are nine oranges stacked together (as shown in the above figure), and four of those oranges are then moved to a basket, the stack will contain nine minus four oranges, or five oranges. As a result, 9 minus 4 equals 5, or the difference between 9 and 4. Incorporating subtraction into other types of numbers is possible in addition to using it with natural numbers.

The symbol for subtraction is the letter "-". The three numerical elements that make up the subtraction operation are the minuend, the subtrahend, and the difference. As the first integer to be subtracted from in a subtraction phrase, a minuend is the first number in the subtraction process.

To learn more about subtraction visit: https://brainly.com/question/2346316

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A part of a circle is called an arc and an arc is named according to its angle.

Given the function:

to find f(3), we have to make x = 3 and substitute on the function, to get the following:

therefore, f(3)=23

In the equation

to solve for t, we first expand both sides of the equation.

We subtract 0.42t from both sides to get

The right side does not equal the left side of the equation; therefore, this equation has no solution and choice C is correct.

The given expression is

Priya rewrite the expression as

Expanding priya's expression gives

Hence Priya's expression is equivalent to 8y - 24

Han's rewrite the expression as

Expanding Han's expression gives

Hence, Han's expression is equivalent to 8y - 24

The correct answer is the option a) because in the table we can note that the values of the weight are strictly increasing, and the only option that meets this condition is the option a).

Given: The function below:

To Determine: The interation with initial value of 1

When the initial value is 1, it means that x = 1

If x =1, we can determine f(1) by the substituting for x in the function as shown below:

Part 1:

It can be observed that as the number of iterations grow, the number increase in powers of 2

This can be modelled as

Part 2:

If we repeat the process with an initial value of -1. As the number of iterations grows, the number can be modelled as

So, as the initial value decreases, it can be observed by the above calculations that the number would be decreasing by the the reciprocal of the power of 2.

Given data:

The given points are (-2,-1) and (3, -1).

The slope of the line passing through the given points is,

Thus, the slope of the line passing through the given points is 0.

To answer this question we need to see it on an axis.

-7> -10 , it is true. -7 it's more near to 0.

we know that

the number of students (s) is equal to the number of teams, multiplied by the number of students in each team

so

s=4*5

s=20

answer is 20 students

ANSWER

EXPLANATION

We want to find the simplest radical form of 4√90.

To do this, we have to reduce the number in the square root in factor form and then reduce it with the square root.

We have:

That is the simplest radical form.

Explanation

let's check every case,

Step 1

A)The cashier took the 20% off first and then the 30% off of the reduced amount second.

let x represents the original price

to find the 20% we can use

then,the 30 % of the reduced amount, so

Step 2

B)The manager said "No, you are supposed to take the 30% off first and then the 20% off the reduced amount second

so

i) 30 of the first

then, 20 % off the reduced amount

Step 3

so, we can conclude in both cases the final price will be the same, becuase we have a triple product

so, the answer is

it does not matter which way the calculation is done, because the order does not affect the product

I hope this helps you

solution

diferent trim levels = 4

different colors = 5

different interior options = 3

then:

answer: 60 different versions of this model

Given the expressions

First: we group and multiply the numbers

Now we have the expressions

Second: we multiply the expressionswith the same base adding its exponents

When the given rectangle is rotated 90° around origin point, you obtain the same rectangle, but instead of a horizonatl rectangle as before, you get a vertical rectangle with height CD' and width A'D'.

The length of the segment CD' is 6 units

EXPLANATION

Given the operation:

28------> rounded to 30

56-------> rounded to 50

76 ------> rounded to 80

Now, we can mentally calculate that:

3x5= 15 so 30x50 = 1500 (two zeros)

15x8 = 120 so,

1500x80 = 120,000

The answer is 144,000.

The given expression is

First, we add x on each side

Then, we subtract 106 from each side