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stich3 [128]
3 years ago
10

What is the 30th term of the linear sequence below? -4,-1,2,5,8

Mathematics
1 answer:
Natali5045456 [20]3 years ago
4 0

Answer:

83

Step-by-step explanation:

a_1 = -4

a_2 = -1

a_2 - a1 = -1 - (-4) = 3

Each new term is 3 added to the previous term.

a_n = a_1 + 3(n - 1)

Test: Let's find the 4th term and see if we get a_4 = 5.

a_4 = a_1 + 3(4 - 1) = -4 + 3(3) = -4 + 9 = 5

We see that the 4th term really is equal to 5.

a_30 = a_1 + 3(30 - 1) = -4 + 3(29) = -4 + 87 = 83

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(x + 5 1/2) 0.75= 5/8 What is x?
swat32
<span>(x + 5 1/2) 0.75= 5/8<span>
Convert 0.75 into a fraction
</span></span><span>(x + 5 1/2) 3/4= 5/8
Use distributive property
3/4x + 5 1/2*3/4 = 5/8
Convert 5 1/2 into improper fraction
3/4x + 11/2*3/4 = 5/8
Multiply
3/4x + 33/8 = 5/8
Subtract 33/8 from both sides
3/4x = 5/8 - 33/8
Subtract the numerators but NOT the denominators
3/4x = -28/8
Divide 3/4 on both sides
x = -28/8 divided by 3/4
Convert the division sign to multiplication while flipping the fraction 3/4 to 4/3
x = -28/8 * 4/3
Multiply
Final Answer: x = -112/24 or -4 16/24 or -4 4/6 or -4 2/3 *All answers are equivalent to each other.</span>
7 0
3 years ago
Suppose you are solving an inequality. Under what circumstances do you reverse the inequality symbol? Select all that apply.
eduard

The answer is C! Hope this helps :)

3 0
2 years ago
Read 2 more answers
Which statements correctly use the properties of exponents to simplify? Check all that apply.
defon
The first one, second, and third
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3 years ago
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Can someone help me?<br><br> Brainlest for anyone who helps and explains<br><br> Thank you!!
Xelga [282]
The answer would be 10. Explanation: So basically you add the two complementary angles and set it equal to the whole thing. So it would look like 4x+46=7x+16. Then, you have to solve for x. To do that, subtract the 4x from both sides and the 16 from both sides. That will leave you with 3x=30. Then, divide by 3, and you get an answer of 10. Hope that helped :)
6 0
3 years ago
If the 7th of an AP is equal to 11 times the 11th term, find the 18th term
Zina [86]

Answer:

-33 or 33

Step-by-step explanation:

The seventh term of an AP is written as:

a + 6d

The eleventh term of an AP is written as:

a + 10d

If the 7th term is 11 times the 11th term, then;

a + 6d = 11(a + 10d)

Expand to get:

a + 6d = 11a + 110d

11a - a = 6d - 110d

10a =  - 104d

\frac{a}{d}  = -   \frac{104}{10}

\frac{a}{d}  = -   \frac{52}{5}

We must have a=-52 and d=5

Or

a=52 and d=-5

For the first case, the 18th term is :

- 52 + 5 \times 17 = 33

For the second case,

52 - 5 \times17 =  - 33

3 0
3 years ago
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