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dimaraw [331]
3 years ago
10

Find the 84th term of the arithmetic sequence -5,15,35, ...

Mathematics
1 answer:
pav-90 [236]3 years ago
8 0

Answer:

The 84th term of the arithmetic sequence -5,15,35, ... is 1675.

Step-by-step explanation:

The arithmetic sequence -5,15,35, ... increases by 20 per term. Add 20 to the prior term to find the new term. Do this 83 times from -5, and you reach 1675.

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The sum of 3 consecutive integers is 120. What is the greatest of these integers? HELP ME IT'S DUE TODAY!!!
kirill115 [55]

Answer:

<h3>               41</h3>

Step-by-step explanation:

The consecutive integers are increasing by 1

x ← the smallest integer

x+1 ← the middle integer

x+1+1 = x+2   ← the largest integer

x + x+1 + x+2 = 120

   3x + 3 = 120

      ÷3        ÷3

      x + 1 = 40

         -1       -1

        x = 39

x+2 = 39 + 2 = 41

3 0
3 years ago
The difference of the square of a number and 10 is equal to 3 times that number. Find the negative solution.
Harrizon [31]

Answer:

-2

Step-by-step explanation:

Let's call the number x. The statement tells us that

x^2 - 10 = 3x, or

x^2-3x-10 = 0

Factoring:

(x-5)(x+2) = 0. Here, we see that there are two solutions: x = 5 and x = -2. So, the negative solution is x = -2.

3 0
3 years ago
Factor Completely : 3x^3 -12x
Thepotemich [5.8K]
The answer you're looking for will be,
ANSWER:    3x(x + 2)(x - 2)

You're welcome.

STEPS:
#1.
Factor out common term 3x.
7 0
3 years ago
Based upon historical data, it is known that 8% of 12-egg cartons contain at least one broken egg. A grocery store manager would
kakasveta [241]

Based on the 5 trials, 1 carton of eggs is expected to contain at least one broken egg, on average

<h3>How to determine the number of cartons</h3>

From the question, we understand that only one of the first 10 double-digit numbers is between 01 and 08

This means that:

The average carton or the expected value of eggs in the simulation is 1

Hence, 1 carton of eggs is expected to contain at least one broken egg, on average

Read more about expected values at:

brainly.com/question/15858152

4 0
2 years ago
liam deposits $2400 into an account that earns 8.3% interest compounded quarterly. how much money will liam have in 5 years.
Harlamova29_29 [7]

Answer:

Total = 2,400 * (1 + (.083/4))^4*5

Total = 2,400 * (1.02075)^20

Total = 2,400 * 1.5079528829

Total = 3,619.09

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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