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tangare [24]
3 years ago
13

1. Find the common difference and find the 75th term of the arithmetic sequence: 3, 6, 9, 12, ....

Mathematics
2 answers:
zhenek [66]3 years ago
6 0

Answer:

225 is the answer

Step-by-step explanation:

hope this help

Ymorist [56]3 years ago
4 0

Answer:

\boxed{225}

.

Step-by-step explanation:

Arithmetic sequence

Un = a + (n - 1)b

.

First step, find its difference

b = U_2 - U_1

b = 6 - 3

b = 3

.

So, we get

a = 3

b = 3

.

Finally, Let's find the 75th term

U_{75} = 3 + (75 - 1)3

U_{75} = 3 + (74)3

U_{75} = 3 + 222

U_{75} = 225

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what is the probability of drawing two blue cards if the first card is not included in the second draw? simplify your answer com
BlackZzzverrR [31]

Answer:

5/14

Step-by-step explanation:

The total number of cards is 8

There are 5 blue cards

P(1st card is blue) = blue/total = 5/8

We take away a blue card

The total number of cards is 7

There are 4 blue cards

P(2nd card is blue) = blue/total = 4/7

The probability of blue blue is P(blue blue ) =

P(1st card is blue)*P(2nd card is blue) =

5/8* 4/7

20/56

We can divide the top and bottom by 4

5/14

3 0
3 years ago
A=b=c=0.8 Area (trigonometry)
attashe74 [19]

Answer:

Step-by-step explanation:

5 0
4 years ago
What’s the pattern of -1, -8, -27, and -64
AURORKA [14]

Hello from MrBillDoesMath!

Answer:

a(n) = (-n)^3  where n = 1,2,3,...


Discussion:

The pattern  1,8,27, 64... is immediately recognizable as the the cube of the positive integers. But this question has a minus sign appearing before  each entry, suggesting we try this:


 - 1  =  (-1)^3

 -8  = (-2)^3

-27  = (-3)^3

-64  = (-4)^3

That's what the problem statement asked for . The answer is equivalently

-1 * (n^3)


Thank you,

MrB

6 0
3 years ago
Please help me answer this for a test im having trouble
Dimas [21]

Answer:

x + 1

y = 9

Step-by-step explanation:

In order to solve this question we need to represent "y "in terms of "x" in the first equation, and the plug in the "y" value in the first equation into the second one. Luckily for us in the first equation it already shows what "y" is equal to in terms of "x" (based on the first equation y = -x + 10). Now we just need to plug in the value that we got instead of "y" in the second equation, and so we get....

y = 7x + 2

(plug in the y value and get the following ….)

-x + 10 = 7x + 2

(now just solve the following equation)

-x + 10 + x = 7x + 2 + x

10 = 8x + 2

10 - 2 = 8x + 2 - 2

8 = 8x

8/8 = 8x/8

1 = x

Now that we know the value of "x", all we need to do now is substitute the value of "x" into any of the equations and we will get the value of "y". So we do the following.....

y =  7x + 2

y = 7(1) + 2

y = 7 + 2

y = 9

3 0
3 years ago
Solve this equation with variables on both sides- 3x=5x+18 show all steps
Dima020 [189]
3x=5x+18
3x-3x=5x-3x+18
0=2x+18
0-18=2x+18-18
-18=2x
-18÷2=2x÷2
-9=x
Hope this helps!
Vote me brainliest!
8 0
3 years ago
Read 2 more answers
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