The swim coach is planning to attend the district swim meet next week. She must decide who will swim the different events. Find the combined time of her star swimmers as well as the difference of their times for the 25-Meter Freestyle.

The combined Time is ------ seconds

The difference of Times is ------- second

Answer:

4th term

Step-by-step explanation:

Equate the nth term formula to 54 and solve for n

3n² - n + 10 = 54 ( subtract 54 from both sides )

3n² - n - 44 = 0

Consider the factors of the product of the n² term and the constant term which sum to give the coefficient of the n- term.

product = 3 × - 44 = - 132 and sum = - 1

The factors are - 12 and + 11

Use these factors to split the n- term

3n² - 12n + 11n - 44 = 0 ( factor the first/second and third/fourth terms )

3n(n - 4) + 11(n - 4) = 0 ← factor out (n - 4) from each term

(n - 4)(3n + 11) = 0

Equate each factor to zero and solve for n

n - 4 = 0 ⇒ n = 4

3n + 11 = 0 ⇒ 3n = - 11 ⇒ n = - [tex]\frac{11}{3}[/tex]

Since n > 0 then n = 4

The 4th term of the sequence is 54.

A sequence is a set of numbers with a constant difference or a constant ratio or it have a certain relation with the next and previous term.

According to the given question the nth term of a sequence is 3n² - n + 10.

We have to determine which term is equal to 54 or the value of and it must be an integer.

So, 3n² - n + 10 = 54.

3n² - n - 44 = 0.

3n² - 12n + 11n - 44 = 0.

3n(n-4) +11(n-4) = 0.

(3n+11) = 0 OR (n-4) = 0.

n = - 11/3 OR n = 4.          ( given the term no. is a positive integer ).

learn more about sequence here :

https://brainly.com/question/21961097

#SPJ2

Answer:

1. 2/9

2. 1/3

3. 112

Step-by-step explanation:

Answer:

x=1/2

Step-by-step explanation:

Answer:

1610

Step-by-step explanation:

230 is 1/8 percent, multiply it by 7, get 1610

Answer:

Answer:first angle = 25 degrees

Second angle = 35 degrees

Third side = 120/degrees

Step-by-step explanation:

Answer:

4:3

Step-by-step explanation:

if we take 44:33 and simplify by dividing by 11 we get 4:3

[tex]44:33 \\ ⇒ \frac{44}{33} \\ ⇒ \frac{4}{3} \\ = 4:3[/tex]

- BRAINLIEST answerer

Answer:

15(2) + 15 (-5) . #45 drop

Step-by-step explanation:

sum is the process of adding two numbers.

Step-by-step explanation:

[tex]by \: pythogorus \: law \\ {x}^{2} = ( { {29}^{2} - {21}^{2} })^{ \frac{1}{2} } \\ = \sqrt{20} \\ = \sqrt{4 \times 5 } \\ = 2 \sqrt{5} [/tex]

Answer:

S=16×2

S=32

................................

Answer:

4in^2

Step-by-step explanation:

1x4=4 and then ^2 because it's square inches

When you using an Inner Join, rows from table that match a common value are the only ones returned.

In SQL server, of we can create a new table by combining rows that have values that match in two or more tables by using an inner join clause.

Logically, this is used to retrieve data from tables that have a common field or appears to have data in both tables.

The diagram below shows the data retrieved using Inner Join in SQL Server which is represented by the part in black.

Learn more about Inner Join on:

https://brainly.com/question/12851463

Answer:

1.Pick the point x= 0, y=3 as your starting point.

2. write the slope as a fraction, in this case 2/1. Move up as many times the numerator says (2), and forward as many times the denominator says (1). If either is negative, you move the opposite direction.

3. You got a second point. Put a ruler between them - or any straight edge - and draw the line.

Step-by-step explanation:

π x r^2 + π x r^2 + 2 x π x r x h

4π + 4π + 16π = 24π

Step-by-step explanation:

i dont know

Answer:

12.5

Step-by-step explanation:

hope it helped

Answer:

12.5

Step-by-step explanation:

Divide 25ft by 2mm

> 25 / 2 = 12.5

Answer:

11

Step-by-step explanation:

Answer:

7÷4=1.75

Step-by-step explanation:

..............

The length of each side of the square is 1.75 feet.

"It is a quadrilateral with all sides are equal and all angles are 90°"

"The perimeter of square is, P = 4 × a,

where 'a' is the side length of the square."

For given example,

the perimeter of a square is 7 feet.

⇒ P = 7 feet

Let 'a' be the length of each side of the square.

Using the formula of perimeter of a square,

⇒ P = 4 × a

⇒ 7 = 4 × a

⇒ a = 7 ÷ 4

⇒ a = 1.75 feet

Therefore, the length of each side of the square is 1.75 feet.

Learn more about the perimeter of a square here:

https://brainly.com/question/11495285

#SPJ2

Answer:

The domain is x = all real numbers and the range is y >= 0.

Step-by-step explanation:

The domain represents all possible values that x can be for a given equation or graph. Since this is a parabola, it will keep expanding upwards and outwards infinitely, so it will eventually reach every x value on both the positive and negative axis, therefore x is all real numbers (also written as (-INF, INF) in another notation).

The range is similiar to the domain, but it represents all possible y values. The parabola, as I mentioned before, will expand upwards infinitely, so all y values greater than the vertex will be reached. The vertex for this graph is the lowest point of the parabola, so y will have to be greater or equal to it. For this equation, the vertex is (0,0) so y has to be greater than or equal to 0.

Answer:

616

Step-by-step explanation: hope it helps :)

Answer:665,830 my answer

Step-by-step explanation:

so. what have you got so far?

How can a digit have no value?

Answer:

The answer is 1.5

Step-by-step explanation

First you want to find the rise. This is the amount of height between the two points (Y) and divide them over the run. This is amount of distance (X) between the points. This will be 6/4. Divide this and you have your answer!

hi there is the gems I am getting on to be a good choice and evolve as a means to get a better of your life

Answer:

the answer is 2.28 ounces

Answer:

https://www.javelin-tech.com/blog/wp-content/uploads/2020/11/NC_Math-3_Student-Edition-1-1.pdf

Step-by-step explanation:

Find the answer here if you can find it :> thanks me later

Answer:

Pmt Amt     $12.50      $23.50      $64.00      $82.00

Fee             $0.25        $0.47        $1.28         $1.64

Step-by-step explanation:

The top line is the payment amount.

The bottom line is the 2% fee.

Let's do the middle columns first.

For any payment amount, the fee is 2%.

To find a percent of a number, change the percent to a decimal by moving the decimal point of the percent to places to the left, and multiply the decimal by the number.

2% as a decimal is 0.02

To find 2% of a number, multiply 0.02 by the number.

The second column has payment amount of $23.50

We need to find 2% of $23.50

2% of $23.50 = 0.02 × $23.50 = $0.47

The third column has payment amount of $64.00

We need to find 2% of $64.00

2% of $64.00 = 0.02 × $64.00 = $1.28

Now we do the first and 4th columns. Here we know the fee, and we are looking for the payment amount.

Let the amount be x.

The fee is 2% of x, so the fee is

0.02x

We set the expression equal to the actual fee and solve for x.

The first column has a fee of $0.25

0.02x = $0.25

x = $0.25/0.02

x = $12.50

The 4th column has a fee of $1.64

0.02x = $1.64

x = $1.64/0.02

x = $82

Answer:

Pmt Amt     $12.50      $23.50      $64.00      $82.00

Fee             $0.25        $0.47        $1.28         $1.64

Answer:

-1

Step-by-step explanation:

rise = -2

run = 2

Slope = rise / run

= -2/2 = -1

Since also the angle made by the line and x axis in anti clockwise direction is > 90° the slope will be-ve .

Answer:

Slope = -1

Step-by-step explanation:

You are provided with two points on the line (-5, 7) and (1,1).

[tex]Slope = \frac{y_{2} -y_{1}}{x_{2} -x_{1}}[/tex]

[tex]Slope = \frac{7-1}{-5-1} =\frac{6}{-6} =-1[/tex]

Answer:

x=8

Step-by-step explanation:

3(x-2)=18

3x-6=18

3x=18+6

3x=24

x=24/3

x=8

Given : Simplify 3(x - 2) = 18

Solution : According to the question, here we are given an equation i.e 3(x - 2) = 18 where we need to get the value of x by simplifying it.

Cross multiplying 3 to the other side

Transposing -2 to the right hand side of the equation to get +2

Adding them we get the final answer

Henceforth, the required answer is 8