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3 years ago

PLEASE HELPO 25 POINTS

Mathematics

1 answer:

Grace [21]3 years ago

6 0

Answer:

an = 1/2 (n) (n+1)

Step-by-step explanation:

1,3,6,10,.........

3-1=2

6-3=3

Each term is different so there is no common difference. It is not an arithmetic sequence

3/1=3

6/3 =2

Each term is different so there is no common ratio. It is not a geometric sequence

1 3 6 10

+2 +3 +4

a1 = 1

a2 = 3

a3 = 6 = 2*3

a4 = 10 = 2*5

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Find four consecutive even integers such that seven times the first exceeds their sum by 18.

Ganezh [65]

Answer:

10, 12, 14, 16

Step-by-step explanation:

Given: Four consecutive even integers such that seven times the first exceeds their sum by 18.

Lets assume the first number be "x".

As it is even integers

∴ Second consecutive number will be $(x+2)$

Third consecutive number will be $(x+4)$

Fourth consecutive number will be $(x+6)$

Now, as given seven times the first exceeds their sum by 18.

∴ $[x+(x+2)+(x+4)+(x+6)]+18 = 7x$

solving the equation to find the number.

⇒ $[x+(x+2)+(x+4)+(x+6)]+18 = 7x$

Opening parenthesis

$x+x+2+x+4+x+6+18 = 7x$

⇒ $4x+30= 7x$

subtracting both side by 4x

⇒ $30= 3x$

Dividing both side by 3

∴ x= 10.

Hence, subtituting the value x to find four consecutive even integers.

First number is 10

Second consecutive number will be $(10+2)$ = 12

Third consecutive number will be $(10+4)$ = 14

Fourth consecutive number will be $(10+6)$ = 16

∴ Four consecutive even integers are 10,12,14,16.

8 0

3 years ago

The front face of Ivan's MP3 player is a rectangle that is 2 1/2 inches long the width is 7/8 of the length what is the area of

Serggg [28]

Answer:

Therefore,

Are of the front face of Ivan's MP3 player is 2.1875 inches².

Step-by-step explanation:

Given:

The front face of Ivan's MP3 player is a rectangle

Let the length of a front face of Ivan's MP3 player be

$Length=2\dfrac{1}{2}=2.5\ inches$

and Width of front face of Ivan's MP3 player be

$Width=\dfrac{7}{8}=0.875\ inches$

To Find:

Area of front face of Ivan's MP3 player =?

Solution:

We have area of rectangle given as

$\textrm{Area of Rectangle}=Length\times Width$

Substituting the given values we get

$\textrm{Area of front face of Ivan's MP3 player}=2.5\times 0.875=2.1875\ inches^{2}$

Therefore,

Are of the front face of Ivan's MP3 player is 2.1875 inches².

3 0

3 years ago

In a certain country, the true probability of a baby being a girl is 0.468. among the next five randomly selected births in the

andreyandreev [35.5K]

Let B be the event that selected baby is Boy. The probability that baby being a girl is 0.468

P(five selected births at least one is boy) = 1 - P(No boy birth in selected five births)

= 1 - P( all five are baby girls)

= 1 - (0.468)^5

= 1 - 0.0224

= 0.9776

The probability that at least one of the five selected births is boy is 0.9776

5 0

3 years ago

Please write in slope intercept form I’m struggling <br><br> y+4=-7(x-3)

klemol [59]

Answer:

y = -7x + 17

Step-by-step explanation:

you want to isolate the 'y' variable, start by distributing -7 on the right side

y + 4 = -7x + 21

now subtract 4 from each side

y = -7x + 17

8 0

3 years ago

Read 2 more answers

4,024 divided by 68 using Partial qoutients

LiRa [457]

We will use Partial quotients to find the quotient and remainder of 4024 divided by 68.

Step 1: $68 \times 50 = 3400$

Now, we will subtract 3400 from 4024,

we get remainder as 624.

Step 2: $68 \times 5 = 340$

Subtracting 340 from 624,

we get remainder as 284.

Step 3: $68 \times 4 = 272$

Subtracting 272 from 284,

we get remainder as 12.

So, Quotient = $50 + 5+ 4 = 59$ and Remainder is 12.

6 0

3 years ago