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Olenka [21]
2 years ago
3

A) Determine the values of 'a' and 'd'

Mathematics
1 answer:
ira [324]2 years ago
6 0

The explicit formula is tn = -1/3 + 2/3(n - 1) and the value of t20 is 37/3

<h3>How to determine the explicit formula?</h3>

The terms of the sequence are given as:

t2 = 1/3

t8 = 13/3

An arithmetic sequence is represented as:

tn = a + (n - 1)d

So, we have:

t2 = a + d

t8 = a + 7d

This implies that

a + d = 1/3

a + 7d = 13/3

Subtract the equations

6d = 12/3

Solve for d

d = 2/3

Substitute d = 2/3 in a + d = 1/3

a + 2/3 = 1/3

Solve for a

a = -1/3

Substitute d = 2/3 and a = -1/3 in tn = a + (n - 1)d

tn = -1/3 + 2/3(n - 1)

Hence, the explicit formula is tn = -1/3 + 2/3(n - 1)

The value of t20

This means that n = 20.

So, we have:

t20 = -1/3 + 2/3(20 - 1)

Evaluate

t20 = 37/3

Hence, the value of t20 is 37/3

Read more about arithmetic sequence at:

brainly.com/question/6561461

#SPJ1

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A freight elevator has a weight limit of 2 tons. each crate that is loaded weighs 80 pounds. what is the greatest number of crat
trasher [3.6K]
step 1
convert pounds to ton
1 ton------> 2204.62 lb
<span>each crate weighs 80 pounds
so
by proportion
1/2204.62=x/80
x=80/2204.62-----> x=0.036 ton
each crate weighs 0.036 ton

step 2
divide 2 ton by 0.036
2/0.036=55.11 crate----------> 55 crate

the answer is
</span>the greatest number of crates that can be loaded onto the elevator is <span>55 

alalternative method
</span>step 1
convert ton to pounds 
1 ton------> 2204.62 lb
a freight elevator has a weight limit of 2 ton
2 *2204.62 -----> 4409.24 lb

step 2
each crate weighs 80 pounds
divide 4409.24 by 80
4409.24/80=55.11 crate----------> 55 crate
<span>

</span>
7 0
4 years ago
I need help with this ASAP.
Nataly_w [17]

Answer:

1. Domain: -2, 0, 4; Range: -7, -1, 0, 3

2. Domain: -4, -1, 2, 3 Range: -5, 1, 8

Step-by-step explanation:

Domain and range are the just the x and y value in function table or ordered pair.

3 0
3 years ago
Is v23 rational or irrational
Alekssandra [29.7K]

Answer:

Assuming you mean the square root of 23, it is irrational.

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Joti drinks 8 glasses of water each day for d days. Which expression represents the number of glasses of water she drinks in d d
Serga [27]

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8d

Step-by-step explanation:

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3 years ago
A random sample of students were surveyed as to how much non-school screen time
GaryK [48]

The percentage of students who spend less than 4 hours a week on screens which reported a grade average below 80 is 50%

Given, we have the report representing children spending time online, on social media or watching T.V, which has there effect on there grades as above or below 80.

By the question we know that the number of students who spends less than 4 hours a week on screen is:

9 + 9

= 18

And among the 18 students there are 9 students whose grade average is below 80.

So the percentage of the students who spends 4 hours a week on screen is:

= 9 ÷ 18 × 100%

= 100/2

= 50%

hence 50% students spend less than 4 hours a week on screens.

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3 0
1 year ago
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