5. Here are the first four terms of an arithmetic sequence: 6, 10, 14, 18..
a) First the sum of first 30 terms of the sequence.
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Answer:

Kindly check explanation

Step-by-step explanation:

Think of inelastic Collison as a phenomenon whereby the colluding bodies do not rebound. That is the direction of motion of the two bodies after collision is in a single direction, moving with a single final velocity as opposed to bodies moving in different directions with differing final velocities after collision during an elastic collision. Therefore, the final kinetic energy during an inelastic Collison isn't conserved.

Mathematically,

Inelastic Collison can be written has :

m1u1 + m2u2 = v(m1 + m2)

Whereby ;

m1, m2 are masses of the first and second colliding objects

u1 and u2 are their initial velocities

Note that, we only have a single final velocity, v, which shows that the colliding objects move in the same direction after collision.

Answer:

x = 33

Step-by-step explanation:

forgive me if im wrong but I've had this question before and i got that right.

Answer:

x = 33, because 180 - 124 + 23

Answer:

Step-by-step explanation:

m = 9

Step-by-step explanation:

y = mx + b is our formula

m stands for slope

9 is in place of m in the equation therefore 9 is the slope

Consider Brainliest

false is the answer.

Answer:

[tex]\displaystyle f(x)=4\cdot\left(\frac{1}{2}\right)^x[/tex]

Step-by-step explanation:

Exponential Function

The exponential function can be written with the general equation:

[tex]f(x)=A\cdot r^x[/tex]

Where A is the value when x=0 and r>0 is the ratio. If r is greater than 1, the function is increasing, if r is less than 1, the function is decreasing.

The table shows the relation between values of x and values of the function y. Note that as x increases (one by one), y decreases with a ratio of 1/2. Only the last two choices have ratios of r=1/2. We only have to test which one of them has the correct value of y=4 when x=0.

Substituting in the third function:

[tex]\displaystyle f(x)=4\cdot\left(\frac{1}{2}\right)^x[/tex]

[tex]\displaystyle f(0)=4\cdot\left(\frac{1}{2}\right)^0[/tex]

[tex]f(0) = 4[/tex]

This gives the correct value of f(0)=4.

Substituting in the fourth function:

[tex]\displaystyle f(x)=\frac{1}{2}\cdot\left(\frac{1}{2}\right)^x[/tex]

[tex]\displaystyle f(0)=\frac{1}{2}\cdot\left(\frac{1}{2}\right)^0[/tex]

[tex]f(0) = \frac{1}{2}[/tex]

This choice is wrong

Correct choice:

[tex]\boxed{\displaystyle f(x)=4\cdot\left(\frac{1}{2}\right)^x}[/tex]

Answer:

5x−y>−2; (−3,−4)

4x−y<−8; (−3,−10)

6x−15y≥−1; (12,−13)

x−2y≥2; (23,−56)

34x−23y<32; (1,−1)

25x+43y>12; (−2,1)

A linear inequality is an inequality that involves a linear function.

Examples of linear inequality are: 2x + y < 5, x + y > 2, y - x

A linear equation is represented as:

[tex]\mathbf{y = mx + b}[/tex]

A linear inequality can be gotten from a linear equation by changing the equality sign to any of the following inequality sign: >, < !=, >= and <=

So, examples of linear inequality are:

2x + y < 5, x + y > 2, y - x >= 2, 12x + 4y <= 20 and 6y - 7x > 1

Read more about linear inequality  at:

https://brainly.com/question/11897796

Answer:

$9

Step-by-step explanation:

'Jonathan and 5 friends' would equal 6 people paying

Since the total amount was 54 dollars, the equation will be:

$54 ÷ 6 friends

54 divided by 6 is $9

Check:

6 x 9 = 54

Answer:

x=2, y=5

Step-by-step explanation:

the triangle that x is in is a right triangle (don't remember the theorem sorry)

use pythagorean theorem (a^2 + b^2 = c^2)

x is the hypotenuse(c)

1 squared plus /3 squared =c squared

1+3= c squared

4= c squared

c=2

x=2

find y using pythagorean theorem as well

/12 squared plus 2 squared = y squared

y is the hypotenuse

12+4=y squared

16= y squared

4=y

add one to account for that extra little piece

y=5

... I don't see z

Answer:

y= if it is the hypoteneuse for the whole triangle it √16 or 4, if it is the side of the smaller triangle it is 3

x=√4 which is 2

z= I don't think ther's a z

Answer: C 15- a/b

Step-by-step explanation: i took the test

Answer: Expression represents the number of text messages you sent on Tuesday = 2x

Expression represents the number of text messages you sent on Wednesday = 12+2x

Expression represents the number of text messages you sent on Thursday = x+6

Step-by-step explanation:

Given:

Number of text messages sent on Monday = x

On Tuesday, Number of text messages sent  = 2 (Number of messages sent on Monday)

= 2 x

On Wednesday, Number of text messages sent  = 12+ (Number of messages sent on Tuesday)

= 12 +2x

On Thursday, Number of text messages sent  = [tex]\dfrac12(2x+12)[/tex]

= x+6

Expression represents the number of text messages you sent on Tuesday = 2x

Expression represents the number of text messages you sent on Wednesday = 12+2x

Expression represents the number of text messages you sent on Thursday = x+6

On Monday you sent x number of text messages. On Tuesday you sent twice as many. On Wednesday you sent 12 more texts than you sent on Tuesday. On Thursday you sent half as many as you sent on Wednesday.

Which expression represents the number of text messages you sent on Tuesday?

✔ 2x

Which expression represents the number of text messages you sent on Wednesday?

✔ 2x + 12

Which expression represents the number of text messages you sent on Thursday?

✔ (2x+12)/2

Answer:

C

Step-by-step explanation:

It is basically acting as a mirror.  That is what it means by reflection.

Answer:

I think it's D

Step-by-step explanation:

Answer:

2z-1 it think. jdjdjdjdjdjjdjd

Answer: r=-7/6y+7/2

Step-by-step explanation:

Step 1: Add -5 to both sides.

6r+5+−5=−7y+26+−5

6r=−7y+21

Step 2: Divide both sides by 6.

6r/6=-7y+21/6

Answer:

Step-by-step explanation:Depends on how many laps Dan swims. If Lucy swims L laps and Dan swims D laps, then you want L such that

20 + 3 1/2 L >= 30 + 2 3/4 D

Answer:

I think the answer would be n = 9/4

Answer:

b=40

a=42.7

c=53.3

Step-by-step explanation:

b^2=32^2+24^2

b^2=1024+576

b^2=1600

b=40

a/32=32/24       (by the Geometric mean theorem)

a=42.7

c^2=32^2+a^2

c^2=1024+1820.7

c^2=2844.7

c=53.3

Answer:

24

Step-by-step explanation:

Answer:A

Step-by-step explanation:

A ratio shows us the number of times a number contains another number. The correct option is C.

A ratio shows us the number of times a number contains another number.

Given that a recipe calls for 3 cups of pecans for every 5 cups of walnuts. Therefore, the ratio of pecans to walnuts is,

Pecans/ Walnuts = 3 cups / 5 cups

Now, the number of cups of pecans that should be added to 8 cups of walnuts is,

Pecans/ Walnuts = 3 cups / 5 cups

Pecans/ 8 cups = 3 cups / 5 cups

Pecans = (8×3)/5 cups

Pecans = 4.8 cups

Hence, the correct option is C.

Learn more about Ratios:

https://brainly.com/question/1504221

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Answer:

To find the number of members that are not part of the union, we take the total number of workers (64) and subtract it with the number of workers that are in a union (x). So because of this, the answer is:

64 - x

Answer:

multiplication

Step-by-step explanation:

brianna=4

gabi=8 x brianna

Answer:

x=3 y=0

Step-by-step explanation:

This is called system of innequalities

we know y= 3-x and we substitute that into 2x+y=6 and we get

2x+3-x=6 we solve and get x=3

then we substitute x into the first equation and we get y=3-3 and get 0

x=3 y=0

Answer:

The answer is 18/2099 as a fraction.

Hoped this helped!