One of the planet Saturn's rings has a diameter of approximately 2.5 × 105
kilometers. What is the diameter of the ring, in kilometers, written in standard
notation?
A.
2,500
B.
25,000
C. 250,000
D. 2,500,000

Answer:

[tex]\frac{2}{9}[/tex]

Step-by-step explanation:

Use slope formula.

y2-y1/x2-x1

Plug in the given info.

4-2/0+9

2/9

Hope this helps!

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Answer: x=-8   y=7

Step-by-step explanation:

[tex]\displaystyle\\\left \{ {{-2x-5y=-19\ \ \ \ (1)} \atop {3x+2y=-10\ \ \ \ \ (2)}} \right.[/tex]

Multiply both parts of the equation (1) by 3 and multiply both parts of the equation (2) by 2:

[tex]\displaystyle\\\left \{ {(-2x)(3)-(5y)(3)=(-19)(3)} \atop {(3x)(2)+(2y)(2)=(-10)(2)}} \right. \\\\\left \{ {{-6x-15y=-57\ \ \ \ (3)} \atop {6x+4y=-20\ \ \ \ (4)}} \right. \\[/tex]

Summarize equations(3) and (4):

[tex]-11y=-77[/tex]

Divide both parts of the equation by -11:

y=7

Hence,

[tex]3x+2*7=-10\\3x+14=-10\\3x+14-14=-10-14\\3x=-24[/tex]

Divide both parts of the equation by 3:

[tex]x=-8[/tex]

Answer:

all integers are rational numbers

Answer: QT = 15

Step-by-step explanation:

RT=9, RS=7, and QS=13

Find QT=QR+RT

find QR=QS-RS

QR=13-7=6

therefore QT=QR+RT=6+9=15

-33 is the value of f(-3) if the equation is If f(x)=x³- x²- x .

Explain what a linear equation is.

f(x)=x³- x²- x

f(-3) = ( - 3)³ - ( -3)² - ( -3)

      =  - 27 - 9 + 3

      =  - 36 + 3 = -33

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Geometric Progression is a type of recursive  mathematical sequence in which the next term is generated by multiplying the previous term with a fixed number that is called the Common Ratio represented by 'r'.It is calculated by the ratio of two consecutive terms.

The formula to calculate the 12th term of a Geometric Progression is :              

                                   =>       [tex]a_{12} = a.r^{(12-1)}[/tex]

Here a = first term, r = common ratio calculated by => r=(a2/a1), and n = [tex]n^{th}[/tex] term to find

In the given question, First term a = 10, n = 12, and calculating r,

                                   =>  r = (a2/a1) => r = (20/10) = 2

Calculating,

                         [tex]a_{12\\} = (10).(2^{(12-1)})[/tex] => [tex](10).(2048)[/tex]

                         [tex]a_{12} = 20480[/tex]

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The difference between average call time on weekdays and average call time on weekends is 2.98 minutes.

What do I know?

What do I need to know?

What operations, drawings, expressions or formula will I use?

Work:

Difference between average call time on weekdays and average call time on weekends = Average call time on weekends - Average call time on weekdays

= 9.38 - 6.4

= 2.98 minutes

Writing:

The difference between average call time on weekdays and average call time on weekends can be found by subtracting average call time on weekdays from average call time on weekends.

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Answer:

020

Step-by-step explanation:

I hope it will be helpful for u

The number combinations that fit the criteria will be 25 + 30 + 32 + 38.

It should be noted that the information illustrated that the sum of the four integers in that set must be no less than 118 and no greater than 144.

Therefore, the numbers that fit this will be:

= 25 + 30 + 32 + 38

= 125

Therefore, the number combinations that fit the criteria will be 25 + 30 + 32 + 38.

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Using the concepts of subsets and proper subsets, the statements are classified, respectively, as:

Suppose we have a set given by:

A = {a, b, c}.

The subsets will be all possible combinations involving at least one element of A, or the empty subset, hence:

S(A) = {∅, {a}, {b}, {c}, {a, b}, {a, c}, {b,c}, {a,b,c}}

In which S(A) is composed by the subsets of A.

The proper subsets are all the subsets, except the empty set, hence:

PS(A) = {{a}, {b}, {c}, {a, b}, {a, c}, {b,c}, {a,b,c}}

In which PS(A) is composed by the proper subsets of A.

Hence:

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The laws of parallelogram and triangle methods of adding vectors is compared and the differences are stated.

Triangle Law of Vector Addition

Triangle law of vector addition states that when two vectors are represented as two sides of the triangle with the order of magnitude and direction, then the third side of the triangle represents the magnitude and direction of the resultant vector.

Parallelogram Law of Vector Addition:

The Parallelogram law states that the sum of the squares of the length of the four sides of a parallelogram is equal to the sum of the squares of the length of the two diagonals.

Given,

Here we need to compare and contrast the law of  parallelogram and triangle methods of adding vectors.

While we looking at the definition of the both law,

We have identified that both are performing the sum operation, but Triangle law is for two vectors when the second vector deviates from the direction of the first vector. Note here that second vector starts after the first vector.

Where as in parallelogram law, the two vectors start from the same initial point in two different directions.

So, the laws of parallelogram and triangle methods of adding vectors is compared and the differences are stated.

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The percentage discount is 58%

The old price is $50

The new price is $21

The percentage discount can be calculated as follows

old price-new price/old price × 100

= 50-21/50 × 100

= 29/50 × 100

= 0.58 × 100

= 58

Hence the percentage discount is 58%

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Answer:

The sum of three and xy is equal to 5

or

The difference of xy and 3 is 5

Step-by-step explanation:

[tex]{ \tt{xy = 5 + 3}} \\ [/tex]

The polynomial is quintic binomial.

The given polynomial is [tex]3r^5-7r[/tex]. The polynomial is given in standard form. i.e., terms are arranged in the decreasing order of its powers.

The degree of the polynomial is the highest power of 'r' in the polynomial.

So degree of the polynomial  [tex]3r^5-7r[/tex] is 5.

Polynomials of degree 5 are called quintic.

The polynomial has 2 terms:  [tex]3r^5, 7r[/tex]

Since the number of terms are two, we can call it binomial.

So the polynomial [tex]3r^5-7r[/tex] is quintic binomial.

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Answer:

- 4 < n ≤ 4

Step-by-step explanation:

2 < n + 6 ≤ 10 ( subtract 6 from each interval )

- 4 < n ≤ 4

Answer:

use the math skills 9+9+9

Step-by-step explanation:

Answer:

Answer on screen

Step-by-step explanation:

I hope everything is clear

For the equation 1 / 5 (2 x - 10) + 4 x = - 3 (1 / 5 x + 4), we get the value of x as - 2.

We are given the equation that:

1 / 5 (2 x - 10) + 4 x = - 3 (1 / 5 x + 4)

We need to solve the equation to find the value of x.

First, we will open the brackets in the equation:

2 / 5  x - 2 + 4 x = - 3 / 5 x - 12

Combining the like terms, we get that:

22 / 5 x - 2 = - 3 / 5 x - 12

Add 2 and 3 / 5 x to both the sides, we get that:

22 / 5 x - 2 + 2 + 3 / 5 x = - 3 / 5 x - 12 + 2 + 3 / 5 x

5 x = - 10

Divide both the sides by 5, we get that:

5 x / 5 = - 10 / 5

x = - 2

Therefore, for the equation 1 / 5 (2 x - 10) + 4 x = - 3 (1 / 5 x + 4), we get the value of x as - 2.

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Answer:

Savannah will have 35 pennies after 10 days.

It will take her 49 days to have at least $1.50

Step-by-step explanation:

Start Value = .05

Linear Increase = .03

.05 + .03x = TV

TV = Total Value

10 days = .05 + .03(10)

10 days = $.35

.05 + .03x = 1.50

1.50 - .05 = 1.45

1.45/.03 = 48.33

48 days is not enough for her to have 1.50 as she is not gaining hourly but rather daily so it would take her 49 days to have at least 49

The difference between the absolute values of Kylie's and Bryan's depth is 2 feet.

Here, we are given that Kylie swam 6 feet below the sea level and Bryan swam 8 feet below sea level.

This implies,

Kylie's distance from the ground level = -6 feet

and Bryan's distance from the ground level = -8 feet

We need to find the difference between the absolute values of their depth.

Thus, we ignore the minus (-) sign and find the difference as follows-absolute difference = | 6 - 8 |

difference = 2 feet

Thus, the difference between the absolute values of their depth comes out to be 2 feet.

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[tex]3^{9} . 2^{12} .5^{11}[/tex]

Power :

An expression that represents repeated multiplication of the same factor is called a power.

Factor: The number 5 is called the base, and the number 2 is called the exponent. The exponent corresponds to the number of times the base is used as a factor.

the expression 5 x 5. This expression can be written in a shorter way using something called exponents.

5⋅5=5^2

An expression that represents repeated multiplication of the same factor is called a power.

The number 5 is called the base, and the number 2 is called the exponent. The exponent corresponds to the number of times the base is used as a factor.

3 to the first power 3

4^2 4 to the second power or 4 squared 4 ∙ 4

5^3 5 to the third power or 5 cubed 5 ∙ 5 ∙ 5

2^6 2 to the power of six

= [tex](3.5)^{4} (2.3)^{5} (2.5)^{7}[/tex]

= [tex]3^{4+5} .2^{5+7} .5^{4+7}[/tex]

=[tex]3^{9} . 2^{12} .5^{11}[/tex]

Ans : [tex]3^{9} . 2^{12} .5^{11}[/tex]

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The 7th term of the Arithmetic Progression (AP) is found using the common difference formula.

In Arithmetic Progression, the difference between the two arithmetical orders is just a constant value (AP). Arithmetic Sequence is another name for it.

We'd come across the few key phrases in AP that were denoted as:

As shown below, the AP can also be described in terms of common differences.

Now, according the given condition in the question.

Let the 5th term is defined by 'a₅'.

Let the 6th term is defined by 'a₆'.

Let the 7th term is defined by 'a₇'.

The common difference of the can be calculated as;

d = a₆ - a₅

Now, for the second case, it could be written as;

d = a₇ - a₆

So,

a₇ = d + a₆.

Therefor, the 7th term of an AP can be computed by adding the common difference to the 6th term of an AP.

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A circle chord exists a straight line segment with both endpoints on a circular arc.

SU goes through the center, R, so SU is a diameter.

Any straight line segment that traverses a circle's center and has ends on the circle exists said to have that circle's diameter in geometric terms. It exists even comprehended as the longest chord of the circle. Both definitions apply to the diameter of a sphere.

The line segment joining any two points on a circle's circumference exists known as the chord. A circle's diameter exists described as the lengthiest chord that passes through its center.

A circle chord exists a straight line with circular arcs at both ends. A secant line, or simply secant, is the infinite line extension of a chord. A chord exists a segment of a line that connects two points on a curve, such as an ellipse.

SU goes through the center, R, so SU is a diameter.

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When an angle exists encircled by a circle, its measure exists equivalent to the intercepted arc's measure divided by two.

The measure of m AC is 48.

The arc that is inside the inscribed angle and whose endpoints are on the angle is known as the intercepted arc. Anywhere on the circle that the sides of an inscribed angle intersect to produce an intercepted arc can serve as the angle's vertex.

Angles with vertices on a circle and that cross an arc on the circle are said to be inscribed angles. Half of the intercepted arc's length and half of the central angle's length intersecting that same arc make up the measure of an inscribed angle. Congruent inscribed angles are those that intersect the same arc.

According to the Inscribed Angle Theorem, an inscribed angle's measure is equal to half of its intercepted arc's measure. Congruent inscribed angles are those that intersect the same arc.

An angle's measure exists equivalent to the intercepted arc's measure divided by two when it is surrounded by a circle.

m AC = 2(m ∠B)

m AC = 2(m ∠B) = 48

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Answer:

This is a geometric sequence since there is a common ratio between each term.

Step-by-step explanation:

2592

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by eren hunter

Answer:  the sequence by 6 gives the next term.

Step-by-step explanation: hope this helps!!!

If angela uses this schedule for 4 weeks, the total number of hours she will many have practiced in total is 35.6 hours

Week 1:

Total = Monday + Tuesday + Saturday

= 1.4 + 2 1/2 + 5

= 1.4 + 2.5 + 5

= 8.9 hours

Total number of hours she practice for weeks = 8.9 hours × 4

= 35.6 hours

Therefore, if angela uses this schedule for 4 weeks, the total number of hours she will many have practiced in total is 35.6 hours.

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The word that makes given statement sometime true is: quadratic.

The correct answer is an option (I)

We know that, the domain of a function is the set of all possible values for which function is well defined.

And the range of a function is the set of all output values for given input.

We know that the domain of polynomial function is the set of all real numbers but the range of a polynomial function depends on the polynomial.

In case of a logarithmic function, the domain is the set of all non-negative numbers and the range is the set of all real numbers.

For exponential function, the domain of a function is the set of all real numbers and the range is all positive real numbers.

The domain as well as the range of a quadratic function is the set of all real numbers.

So the given statement would be, "The domain and range of a(n) quadratic function is the set of all real numbers."

Therefore, the word that makes given statement sometime true is: quadratic.

The correct answer is an option (I)

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The expression which is equivalent to 7 3/4 subtracted by 1/2 will be ( 31 / 4 ) - ( 2 / 4 ).

We are given a statement:

7 3/4 subtracted by 1/2

We need to write an expression to represent the same.

We know that:

7 3/4 can also be written as an improper fraction as:

31 / 4

And 1 / 2 can be written as an equivalent fraction to 2 / 4.

Subtracting the values, we will get the expression as:

( 31 / 4 ) - ( 2 / 4 )

Therefore, the expression which is equivalent to 7 3/4 subtracted by 1/2 will be ( 31 / 4 ) - ( 2 / 4 ).

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