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TEA [102]
2 years ago
12

What is the rule for the nth term of the arithmatic sequence given below:

Mathematics
1 answer:
vaieri [72.5K]2 years ago
5 0

Answer:

  an = 5/2 +3/2(n -1)

Step-by-step explanation:

The common difference is ...

  4 -5/2 = 3/2

The general rule is ...

  an = a1 +d(n -1)

For a1 = 5/2 and d = 3/2, the rule for this sequence is ...

  an = 5/2 +3/2(n -1)

___

This can be simplified to ...

  an = 1 +3/2n

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Hello can anyone help me with my algebra i'm behind
madreJ [45]

Answer:

sure

Step-by-step explanation:

3 0
3 years ago
The time, t, it takes a runner to cover a specified distance is inversely proportional to the runner's speed. If Jann Avery runs
Sveta_85 [38]

To solve this problem you will need this tool, it is the formula of speed :

<em>speed = distance/time</em>

(I suggest you to remember this one for life, it is a really useful one)

Let's check how long that Jackie nice dude will take to finish the race...

Jann avery runs at an average of 6 mph (miles per hour), so we already got the speed for our formula. And she will finish the race in 2.1 hours so we got the time. What do we miss ? The distance.

Let's write what we already know to solve this puzzle :

6 = d / 2.1

Where d is that unknown distance..  So we are in front of an equation here let's solve it :

d / 2.1 = 6

d = 6 * 2.1

d = 12.6 miles

Now that we know that distance, for the race, we can see if that poor Jackie Donofrio has all his chances to catch Jann Avery...

We already know his speed... and since we have the distance, we write :

4 = 12.6 / t

Where t is the unknown time, for Jackie, to finish the same race. Let's solve the equation :

4t = 12.6 (we multiplied t on each side of the equation)

t = 12.6 / 4

t = 3.15

Jackie Donofrio, who runs at 4 miles per hour, will finish the race in 3.15 hours

Good Luck

5 0
3 years ago
Explain how you find it
aliina [53]

Answer:

x = 39

Step-by-step explanation:

there is a theorem that states that the midsegment in a trapezoid is equal to the sum of the bases divided by two

so, (36 + 42)/2 = x

36 + 42 = 78

78/2 = 39

8 0
3 years ago
ANSWER QUICK PLEASE!!
grigory [225]

Answer:

True

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Many electronics follow a failure rate described by an exponential probability density function (PDF). Solar panels are advertis
katovenus [111]

Answer:

The right answer is "0.3193".

Step-by-step explanation:

According to the question,

Mean,

\frac{1}{\lambda}  = 13

\lambda = \frac{1}{13}

As we know,

The cumulative distributive function will be:

⇒ 1-e^{-\lambda x}

hence,

In the first 5 years, the probability of failure will be:

⇒ P(X

                    =1-e^{-(\frac{1}{13} )\times 5}

                    =1-e^(-\frac{5}{13})

                    =1-0.6807

                    =0.3193

3 0
3 years ago
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