What is the slope of the line?

Answer:

0.02083333333

52s is the maximum time that she can take on her last lap and still make the team.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Given that he mean pace a student needs to achieve on 5 laps of the pool is 60 seconds (s).

The student swims a lap in 63 s, 62 s, 65 s, and 58 s on her first four laps.

We need to find the maximum time (in seconds) that she can take on her last lap and still make the team

Let x be the maximum time (in seconds) that she can take on her last lap

60=(63+62+65+58+x)/5

300=63+62+65+58+x

300=248+x

Subtract 248 on both sides

300-248=x

x=52s

Hence, 52s is the maximum time that she can take on her last lap and still make the team.

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Answer:

c = 10.6

Step-by-step explanation:

c² = a² + b²

c² = 7² + 8²

c² = 49 + 64

c² = 113

Take the square root of both sides

c = 10.6301458127

Rounded

c = 10.6

Answer:y=(x+3)2−17

Step-by-step explanation: 3,11 5,15

The simplified form of the rational expression (x²+5x+6)/(3x+6) is (x+3)/2.

And we used factorization to find the simplified form.

Factorization is a process to simplify the expression by finding the factors of that expression.

And to find the same expression from factors, you have to reverse the process.

Given:

The rational expression,

(x²+5x+6)/(3x+6).

Simplifying,

the expression using factorization method.

First, (x²+5x+6),

= x²+2x+3x+6

= x(x+2)+3(x+2)

= (x+2) (x+3)

And 3x+6 = 3(x+2)

Substituting the simplified values to the given expression,

(x²+5x+6)/(3x+6),

= (x+2) (x+3) / {3(x+2)}

Factor out the common factor,

= (x+3)/2

Therefore, the simplified form is (x+3)/2.

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Answer:

A, D, C, B

Step-by-step explanation:

A = 3/4 + 5/4 = 8/4 = 4

B = 7/4 + 5/2

= LCM of 4 and 2 = 8

= 14/8 + 20/8 = 34/8 =17/4

C = 4/3 + 5/3 = 9/3 = 3

D = 11/3 - 4/3 = 7/3

A=4, B=17/4, C=3, D=7/3

LCM of  4 and 3 is = 12

= 16/12, 51/12, 36/12, 28/12

Sorry if I am wrong :)

Answer:

A=4, B=17/4, C=3, D=7/3

Step-by-step explanation:

I believe it's A

I hope this helps and if I'm wrong I apologize

Answer:

Download Photo math for help, it works really well and it shows the work.

Answer:3x=4.99

Step-by-step explanation: 14.97/3= 4.99

Answer:

118

Step-by-step explanation:

Answer: 118

Step-by-step explanation:

4(5)^2+3(6)

4(25)+3(6)

100+3(6)

100+18

118

The percentile rank in a charity marathon to raise money for Typhoon Ulysses is 21.5 percentile.

A percentile (or a centile) is a measure used in statistics indicating the value below which a given percentage of observations in a group of observations fall. For example, the 20th percentile is the value (or score) below which 20% of the observations may be found.

Rank of Alex is 43rd

Total Entrants is 200

Percentile = Rank of Alex X 100 / Total Entrants

                 = 43 X 100 / 200

                 = 21.5 percentile

Thus, the percentile rank in a charity marathon to raise money 21.5 percentile.

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Answer:

option 4 (D)

Step-by-step explanation:

Answer:

g is decreasing for all x less than or equal to -1

Step-by-step explanation:

The graph of the function y = |x| looks like a "vee."

g(x) = |x + 1| - 7 moves that graph 1 unit to the left (I know, it looks backwards!) and down 7 units. See attached image.

Function g(x) is decreasing for all [tex]x \le -1[/tex].

Answer:

on edg3

Step-by-step explanation:

After evaluating the given expressions the results could be 245 / 89 , 43/6, 33/4 .

What is expression ?

expression can be defined as with the minimum of two variables or numbers and at least one math operation.

Given that ,

7/ 8  * 14  / (3/8 * 6 ) + 2  1/5

= (7/8 * 14 )/ ((18 / 8) + 11/5)

= (98/ 8 ) / (90 + 88) / 40

= (98/ 8 ) /  (178/ 40)

= (98 * 40) / (8* 78)

= 245/89

Hence the final value could be 245/53.

7/ 8  + (6*7/8 - 4 * 3/16 ) / (3/4 )

(7/8 + (21/4 - 3/4 ) )  / (3/4)

(7/8 + 18/4)  / (3/4)

(43/8) / (3/4)

43/6

Hence the final value could be 43/6.

3  1/7  * (3 1/3 * (2/3 + 1/6 ) - 5/18 ) / 2 (3/7)

11/7 * (10/6 - 5/18) / (17/7)

(11/7 )* (27/ 18) /( 17/7)

(11* 27/18 )/ (17)

33/34.

Hence the final value could be 33/34.

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A) [tex]$x+y=(1+2 \sqrt{3})+(1-\sqrt{3}) i$[/tex]

B) [tex]$y+z=(\sqrt{3}+1)-(2+\sqrt{3}) i$[/tex]

c) [tex]$y-z=(\sqrt{3}-1)-\sqrt{3} i$[/tex]

are the value of given algebraic expression.

The numbers which can be expressed in the form of [tex]$x+iy[/tex] where, [tex]$x, y$[/tex] are real numbers and 'i' is an imaginary number called "iota".

here [tex]$\mathrm{i}$[/tex] is iota whose value is: [tex]$\mathrm{i}=\sqrt{-1}[/tex]

Given .

[tex]$$\begin{aligned}& x=1+\sqrt{3}+2 i \\& y=\sqrt{3}-(1+\sqrt{3}) i \\& z=1-i\end{aligned}$$[/tex]

upon solving two complex number we solve coefficient of iota together and real number together.

A) to find [tex]$(x+y)$[/tex]

[tex]$$\begin{aligned}& x+y=(1+\sqrt{3}+2 i)+(\sqrt{3}-i-\sqrt{3} i) \\& x+y=(1+2 \sqrt{3})+(2-1-\sqrt{3}) i \\& x+y=(1+2 \sqrt{3})+(1-\sqrt{3}) i\end{aligned}[/tex]

B) [tex]$\mathbf{y}+\mathbf{z}$[/tex]

[tex]$$\begin{aligned}& y+z=(\sqrt{3}-i-\sqrt{3} i)+(1-i) \\& y+z=(\sqrt{3}+1)-(2+\sqrt{3}) i\end{aligned}[/tex]

c) [tex]$\mathbf{y}-\mathbf{z}$[/tex]

[tex]$$\begin{aligned}& y-z=(\sqrt{3}-i-\sqrt{3} i)-(1-i) \\& y-z=(\sqrt{3}-1)-\sqrt{3} i\end{aligned}[/tex]

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Answer:

Step-by-step explanation:

E

Answer: No. This equation can't be solved by factoring

Therefore , answering the questions, we can state that a factorial radicals is streamlined, or in its most basic form, when the user ’s behalf has no square components.

Radical is the name for the symbol for the scale factor or nth root. Root expressions are expressions that have square roots. Radicand: An expression or value enclosed by a radical symbol. Examples are the radicalism 7, 2y+1, and on and on. Radicals can also be described using the terms below: Equations that contain radicals are known as radical equations. The expression contained within the square root is referred to as the "root expression."

Here,

We refer to a sum of squares radical as being simplified or in its purest form when the radicand contains no square components.

The simplest form of a radical also exists when the user ’s behalf is not a fraction.

so that radical = 2√x / x

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Answer:

1.010101e+42

Step-by-step explanation:

Answer:

1010101010101010010101001010100101100101050

Step-by-step explanation:

1010101010101010010101001010100101100101010+40=1010101010101010010101001010100101100101050

9514 1404 393

Answer:

  Translation

Step-by-step explanation:

When constant values are added to x and/or y, the result is translation.

Answer:

The slope of a line that is parallel to the graph of the function below is 1/4x

Step-by-step explanation:

The only way you can have a line that stays parallel to another is if they have the same slope, and the slope of them both is 1/4x

Answer:

x+x+10=90 being Right angle triangle.

2x=90-10

2x=80

x =40

then x+10= 40 + 10

= 50

Answer:

40 degrees clockwise.

Step-by-step explanation:

If we rotate 150 degrees counterclockwise by 60 degrees , we would end up at 210 so

210-170=40 degrees

It would be clockwise.

Answer:

The difference between a flawed and non-flawed survey question is usually bias; you don't want the question to seem like it's leading the reader to any one answer, it should be worded neutrally. The best method to find non-biased samples is to select your samples randomly.