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gulaghasi [49]
3 years ago
5

What is the 72nd term of -27, -11, 5

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
5 0

Answer:

1109

Step-by-step explanation:

The first term is -27, and the common difference is 16.

The nth term is:

a = a₁ + d (n − 1)

a = -27 + 16 (n − 1)

a = -27 + 16n − 16

a = 16n − 43

The 72nd term is:

a = 16(72) − 43

a = 1109

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The marine needs 14 boats for the 42 people registered for a boat race. How many boats will they need for 6 people?​
Degger [83]

Answer:

2

Step-by-step explanation:

We can write a proportion to determine

42 people          6 people

---------------- = ----------------

14 boats                x boats

Using cross products

42x = 6*14

42x =84

Divide each side by 42

42x/42 = 84/42

x = 2

They will need 2 boats

5 0
3 years ago
A teacher is making a history test composed of the same number of multiple-choice questions as short-answer questions. She estim
STALIN [3.7K]

Answer:

The inequality is 5.5n \leq 45

Step-by-step explanation:

Total time:

The total time to complete the test is the sum of the number of multiple-choice questions multiplied by the time it takes to solve each and the number of short-answer questions multiply by the time it takes to solve each.

In this question:

Same number(n) of both.

Multiple-choice takes 2 minutes, short-answer takes 3.5 minutes. The total time is given by:

T = 2n + 3.5n = 5.5n

Write an inequality to determine how many questions, n, the teacher can include if the test must take students less than 45 minutes to complete.?

This means that:

T \leq 45

So

5.5n \leq 45

The inequality is 5.5n \leq 45

5 0
2 years ago
You ask a neighbor to water a sickly plant while you are on vacation. Without water the plant will die with probability 0.75. Wi
Dafna1 [17]

Answer:

0.2915

Step-by-step explanation:

Let W represent water and D represent Dying probability

W = water

D = die

 

->If with water, it will die with probability 0.4

P(W & D) = 0.82 x 0.4 = 0.328

->Without water the plant will die with probability 0.75

P(W ' & D) = 0.18 x 0.75 = 0.135

Taking sum of the above values with water and without water.

P(D) = P(W & D) +  P(W ' & D) = 0.4643

P(W ' | D) = P(W ' & D) / P(D)

= 0.135 /0.463

= 0.2915 ≈ 29.15%

Thus, the probability the neighbor forgot to water is 0.2915

4 0
3 years ago
Pls answer both I really need help...
ehidna [41]

Step-by-step explanation:

the correct answer is in there

8 0
2 years ago
Read 2 more answers
jessy took out a loan of $16,500 over 5 years at 4.2% interest to purchase a new car. how much will she pay in interest on the l
lbvjy [14]

Answer:

B

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 4.2%/100 = 0.042 per year,

then, solving our equation

I = 16500 × 0.042 × 5 = 3465

I = $ 3,465.00

The simple interest accumulated

on a principal of $ 16,500.00

at a rate of 4.2% per year

for 5 years is $ 3,465.00.

6 0
3 years ago
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