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charle [14.2K]
3 years ago
7

Consider the first three terms of the arithmetic sequence: 7, 15, 23,... Determine d, the common difference.​

Mathematics
1 answer:
ValentinkaMS [17]3 years ago
3 0

Answer:

I think 47 and 55

Explanation:

I think that each number is the previous one plus 8;

7+8=15

15+8=23

23+8=31

31+8=39

So, next will be:

39+8=47

47+8=55

Is this what ur looking for?? hope this help:)

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A pulley is used to pull a boat to the dock. The rope is attached to the boat 7 feet below the level of the pulley. What is the
Svetradugi [14.3K]

Answer: 24 ft

Step-by-step explanation:

By the Pythagorean theorem,

7^{2}+x^{2}=25^{2} \\ \\ 49+x^{2}=625 \\ \\ x^{2}=576 \\ \\ x=\boxed{24 \text{ ft}}

7 0
2 years ago
Solve for x: 3(x + 1) = −2(x − 1) + 6
In-s [12.5K]

Answer:

<h2>x = 1</h2>

Step-by-step explanation:

3(x + 1) = −2(x − 1) + 6

Expand the terms in the bracket and simplify

That's

3x + 3 =  - 2x + 2 + 6 \\ 3x + 3 =  - 2x + 8

<u>Add 2x to both sides of the equation</u>

3x + 2x  + 3 = 2x  - 2x + 8 \\ 5x + 3 = 8

<u>Subtract 3 from both sides of the equation</u>

5x + 3 - 3 = 8 - 3 \\ 5x = 5

<u>Divide both sides by 5</u>

\frac{5x}{5}  =  \frac{5}{5}  \\

We have the final answer as

<h3>x = 1</h3>

Hope this helps you

8 0
3 years ago
Harlene tosses two number cubes. If a sum of 8 or 12 comes up, she gets 9 points. If not, she loses 2 points. What is the expect
Amanda [17]
P(8 or 12) = 1/6
P(not 8 or 12 = 5/6
Let the expected points fro one roll be X.
E(X)=9\times\frac{1}{6}-2\times\frac{5}{6}=-\frac{1}{6}\ points
The answer is -(1/6) points.
5 0
3 years ago
Read 2 more answers
Gcf and lcm of 6 and 9
nadya68 [22]

the lcm is 18

the gcf is 3

3 0
3 years ago
Find the real number root of 4 square root of 0.0081
kupik [55]
4(square root of 0.0081)
= 4(square root of 81x10^-4
= 4(9x10^-2)
= 36x10^-2
= 0.36
4 0
4 years ago
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