Here are the first five terms of a sequence.
3
8 17
30
47
Find an expression, in terms of n, for the nth term of this sequence.
Help

Therefore , the solution of the given problem of function comes out to be x(3x²- 15 ) + 8 / 12x² , Domain : x ∈ R : x≠ 0 and

Domain :[ -∞,0 ] U [ 0,∞].

According to a function's rule, every x value in the domain has one and only one range of y values. Definition. A one-to-one function exists when there is just one and only one value of x such that f(x) = y.

Here,

Part A:

=> 4/6x² - 5x²/4x

=> 8 - 15x + 3x³/12x²

=>  3x³- 15x +8 / 12x²

=> x(3x²- 15 ) + 8 / 12x²

Part B:

Domain : x ∈ R : x≠ 0

Part c:

The function domain at x= 0 Domain :[ -∞,0 ] U [ 0,∞]

Therefore , the solution of the given problem of equation comes out to be x(3x²- 15 ) + 8 / 12x² , Domain : x ∈ R : x≠ 0 and Domain :[ -∞,0 ] U [ 0,∞].

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The graph is forming a function but it is not an one-one function.

If the vertical line test is satisfied, then the graph represents a function and a vertical line will cross it at most once.

If a horizontal line crosses the graph in no more than one spot, the function is one-to-one and passes the horizontal line test.

The graph in this case is made up of several horizontal, non-overlapping lines. It is a function and passes the vertical line test, however a horizontal line can cross the graph at any number of locations (is not one-to-one).

However, the graph is not a one-to-one function.

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l think it's answer is this .

You can use your calculator.

Answer:

Step-by-step explanation:

? = 1/2(230)

A  115°

Answer:

630c=7ou

1ou=90c,

1po=16(90c)

2po=x

x=288calories

Answer:

c. y + 13 = 5x

Step-by-step explanation:

y = 5x + b

7 = 5(4) + b

7 = 20 + b

-13 = b

y = 5x - 13

y + 13 = 5x

Answer:

Option C

The answer is y + 13 = 5x

Step-by-step explanation:

Here, (4,7)

x = 4

y = 7

m = 5

Now,

y = mx + b

7 = 5(4) + b

7 = 20 + b

b = 7 - 20

b = - 13

Now,

y = mx + b

y = 5x - 13

y + 13 = 5x

Thus, The answer is y + 13 = 5x

-TheUnknownScientist

Answer: [tex]13.34\ \text{miles}[/tex]

Step-by-step explanation:

Given

First the person travels 13 mi west and then 3 mi due to south

The distance traveled by crow is represented by line BO

using Pythagoras theorem, we can write

[tex]\Rightarrow AO^2+AB^2=BO^2\\\Rightarrow BO^2=13^2+3^2\\\Rightarrow BO^2=178\\\Rightarrow BO=\sqrt{178}\\\Rightarrow BO=13.34\ \text{miles}[/tex]

Answer:

(2, -1)

Step-by-step explanation:

2(2)+ (-1) = 4-1 = 3.

F G cannot be simplified because it is not an equation, it is a phrase.

1. First, determine what F G is. In this case, F G is a phrase and not and equation.

2. Since F G is a phrase, it cannot be simplified.

Determining what F G is the first step to simplifying it. F G is a phrase and not an equation, so it cannot be simplified. Simplifying an equation or expression requires breaking it down into its individual parts and then combining like terms or rearranging the equation to make it simpler. However, F G is not an equation and therefore cannot be simplified.

F G cannot be simplified because it is not an equation, it is a phrase.

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The longest side of a triangle is always opposite to the largest angle because  the endpoints of the lines on either side are going to be further apart if the angle is wider .

What is Triangle  ?

The triangle can defined as a three-sided polygon that consists of three edges and three vertices.

Let the angle opens up to its opposite side.

So , the larger the angle, the wider will be it's opening. which means that the endpoints of lines on either side of the angle are going to be further apart if angle is wider.

If the endpoints are further apart, then the line connecting them, which makes up the side opposite will be going to be more longer.

So , the longest side will always be opposite to the largest angle

Similarly , the smallest angle will result in shortest side opposite side for the same reasons.

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The probability of a lion living longer than 10.1 will be 0.1585.

The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.

The lifespans of lions in a particular zoo are normally distributed. The average lion lives 12.5 years; the standard deviation is 2.4 years.

The lifespan of a lion in a particular zoo is normally distributed with average lion lives:

Mean u = 12.5 years

Standard deviation s = 2.4 years

We are to use the empirical rule ( 68-95-99.7% ) to estimate the probability of a lion living between 5.3 and 10.1.

The empirical rule ( 68-95-99.7% ) states:

P ( u - s < X < u + s ) = 68%

P ( u - 2s < X < u + 2s ) = 95%

P ( u - 3s < X < u + 3s ) = 99.7%

The test has the following number of standard deviations (s):

u - s < X < u + s  = 12.5 - 2.4 < X < 12.5 + 2.4  = 10.1 < X < 14.9

u - 2s < X < u + 2s = 12.5 - 4.8 < X < 12.5 + 4.8  = 7.7 < X < 17.3

u - 3s < X < u + 3s = 12.5 - 7.2 < X < 12.5 + 7.2  = 5.3 < X < 19.7

Then the probability is calculated as,

P ( 10.1 < X < 14.9 ) = 0.68

P ( 7.7 < X < 17.3 ) = 0.95

P ( 5.3 < X < 19.7 ) = 0.997

We need P ( X < 10.1 ) and P ( X < 5.3 ):

P ( X < 10.1 ) = [ 1 - P ( 10.1 < X < 14.9 ) ] / 2

P ( X < 10.1 ) = [ 1 - 0.68 ] / 2

P ( X < 10.1 ) = 0.16

P ( X < 5.3 ) = [ 1 - P ( 5.3 < X < 19.7 ) ] / 2

P ( X < 5.3 ) = [ 1 - 0.997 ] / 2

P ( X < 5.3 ) = 0.0015

P ( 5.3 < X < 10.1 ) = P ( X < 10.1 ) - P ( X < 5.3 )

P ( 5.3 < X < 10.1 ) = 0.16 - 0.0015

P ( 5.3 < X < 10.1 ) = 0.1585

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Answer:

111

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

x-5 that is the answer na

The equation can be written using the arithmetic operation and the cost is

$32.91.

The arithmetic operations are the fundamentals of all mathematical operations. The example of these operators are addition, subtraction, multiplication and division.

The cost for each roses, bows and vases are given as $1.99, $0.99 and $7.99 respectively.

Then, the equation for the total cost is as below,

⇒ 3 × 1.99 + 3 × 0.99 + 3 × 7.99 = 32.91

Hence, the equation for the cost is given in the answer part and the cost is $32.91.

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Answer:

The measures of interior angles of a triangle sum to 180°.

63+60=123

180-123=57

Angle AB is 57°

Answer:

Center: = (-1,-3)

Radius: = 1

Step-by-step explanation:

Answer:  This cannot be one of the two equal angles in the isosceles triangle as it violates the rule that sum of three angles of a triangle is equal to 180 degrees. Hence the remaining two angles contribute to the 180 - 96 = 84 degrees. And the two equal angles are 42 degrees each. In any case, <E is equal to 42 degrees.

The two-digit number is 34.

Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers. The boldface Z is a common way to represent the set of integers in mathematical terms.

If p and q are integers and q is not equal to 0, then the number is in the form of p/q and is said to be rational. Among the rational number examples are 1/3, 2/4, 1/5, 9/3, and so on.

The given information can be translated into the following equation:

(10x + y) + (2x - y - 1) = 13

Where x is the tens digit and y is the units digit.

Solving for x and y, we get:

x = 3 and y = 4

So the number is 34.

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Answer:

A

Step-by-step explanation:

check the above attachment to verify the answer.

Answer:

[B] 6²

Step-by-step explanation:

Given:

[tex]\frac{6^4\cdot \:6^3}{6^5}[/tex]

Solve:

Add the exponents - [tex]6^4 \times 6^3=6^7[/tex]

Now we have - [tex]\frac{6^7}{6^5}[/tex]

Exponent Rule: [tex]\frac{x^a}{x^b}=x^{a-b}[/tex]

Which means - [tex]\frac{6^7}{6^5}=6^{7-5}[/tex]

Subtract the exponent - [tex]6^2[/tex]

Hence, the answer is [B] 6²

RevyBreeze

5/32 of the time, the product of the two numbers on the face-up sides will be greater than 36.

The likelihood of an event happening is gauged by probability. Many things are impossible to completely predict in advance. Using it, we can only make predictions about how probable an event is to happen, or its chance of happening.

There are 64 possible options to look at (8 x 8).

If one die is a 1, then no combinations will be possible, even if the other die is an 8.

If one dice is a 2, then no combinations will be possible, even if the other die is an 8.

If one dice is a 3, then no combinations will be possible, even if the other die is an 8.

If one die is a 4, then no combinations will be possible, even if the other die is an 8.

If one die is a 5, the second die must be an 8 for the result to be more than 36. So, (5, 8) is effective.

If one die is a 6, the second die must be a 7 or an 8 to produce a result greater than 36. Therefore, both (6, 7) and (6, 8) are valid.

If one die is a 7, the other die can be a 6, 7, or 8 to get a result that is more than 36. As a result, (7, 6), (7, 7) and (7, 8) all function.

If one die is an 8, the other die can be a 5, 6, 7, or 8 to get a result that is more than 36. Therefore, (8, 5), (8,6), (8,7), and (8,8) are valid.

Out of a total of 64 possible combinations, there are a total of 1 + 2 + 3 + 4 = 10 that are successful.

As a result, the response is 5/32 because 10/64 = 5/32.

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Answer:

Ez *puts link epicly* B^)

The answer to 7^2 is 49. This means that 7 is multiplied by itself two times. To solve the given problem following steps should be followed :

Step 1: To calculate the value of 7 power 2, we need to use the exponentiation operator (^).

Step 2: The operator is written as 7^2, which is read as "seven to the power of two".

Step 3: We can calculate the value of 7 power 2 by multiplying 7 by itself 2 times.

Step 4: 7 × 7 = 49

Therefore, 7 power 2 = 49.

An expression known as "power" is defined as the process of repeatedly multiplying a value or integer. An is often a power where n is the exponent and an is the base.

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Answer:

450/500 = 0.9sorry if it's wrong

Step-by-step explanation:

Answer:

D. 280/500 = 0.56

Step-by-step explanation:

280 are intended for people over 16 and 320 use a rechargeable battery.

320-150 = 170 (intended for those under the age of 16)

The answer would be D because you need to take the highest number of products (280) that would satisfy the requirements.

The cost  of hiring a van for 5 days is $235.

In this question, we have been given an equation c = 10 + 45d that represents the cost in pounds of hiring a van for days.

here c = cost in pounds

d = number of days

We need to find the cost  of hiring a van for 5 days.

Substitute the value d = 5 in given equation.

c = 10 + 45d

c = 10 + (45 × 5)

c = 10 + 225

c = 235 dollars

Therefore, the cost for 5 days is 235 dollars

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9) x = 6

10) x = 1

11) x = 0

12) x = 6

This can be solved from the property of parallelogram.

A unique variety of quadrilateral called a parallelogram has both pairs of its opposite sides parallel and equal.

Parallelograms come in 4 different varieties, including 3 unique varieties. The four varieties are rhombuses, parallelograms, squares, and rectangles.

Properties are:

9) As we know, from the property of parallelogram,

SR = TQ and ST = RQ

Now, 4 + 2x = 3x - 2

or, x = 6

10) As we know, from the property of parallelogram,

EF = DC and ED = FC

17x + 1 = 18x

or, x = 1

11)  As we know, from the property of parallelogram,

YZ = XW and YX = ZW

2x + 9 = 9

2x = 0

x = 0

12)  As we know, from the property of parallelogram,

TU = SV and TS = UV

6 + 2x = 4x - 6

or, 2x = 12

or, x = 6

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The pair of operations having an inverse relationship are,

Addition and Subtraction, Division and Multiplication.

A number's additive inverse is a number that is added to it until the result is zero.

A number multiplied by another such that the result is 1 is the multiplicative inverse of that number.

Addition and subtraction are inverse operations of each other.

Suppose we have 5 and we add 3 to it we get 8.

Now, Subtracting 3 from 8 would result in 5.

Multiplication and division are inverse operations of each other.

Suppose we have 10 and we multiply 2 to it we get 20, Now if we divide 20 by 2 we get back 10 again.

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Answer:

8 quadrilaterals

Step-by-step explanation:

a quadrilateral is a shape with 4 sides and vertices

On sectional charts, the graticules are the lines that separate each 30 minutes of latitude and each 30 minutes of longitude. One tick mark equals one minute of latitude or longitude. Moving northward increases latitude while moving westward increases longitude. The coordinates of the Garrison (Pvt) airport are 47° 40' 00" N and 101° 26' 00" W.

Direction is characterised as the course that something follows, the route that must be taken to get to a particular location, the direction in which something is beginning to take shape, or the direction you are facing. When you turn right instead of left, that is an illustration of direction.

Identifying whether a direction is clockwise or anticlockwise is a straightforward method for resolving direction problems. If we turn right, the direction will be entirely clockwise. Therefore, when starting from the correct point at North, every right movement will lead in the clockwise directions of East, South, and West.

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