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Aleks04 [339]
3 years ago
15

What is the explicit formula for the arithmetic sequence 4/5, 29/30, 17/15, 13/10?

Mathematics
2 answers:
svetoff [14.1K]3 years ago
7 0

Answer:

The answer is D,

a(n) = 4/5 + 1/6(n- 1)

just took the test :)

Step-by-step explanation:

Dvinal [7]3 years ago
6 0

Answer:

d

Step-by-step explanation:

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Charge q is one unit of distance away from the source charge s. Charge p is two times further away. The force exerted between S
finlep [7]

Charge q is 1 unit of distance away from the source charge S. Charge p is two times further away. The force exerted between S and q is _____ the force exerted between S and p

a. 1/2

b. 2 times

c. 1/4

d. 4 times

Answer:

4 times

Step-by-step explanation:

Given the following :

Distance between q and S (r) = 1 unit

Distance between P and S (r) = 2 × 1 unit = 2

According to coliumbs law:

F = Ke(q1q2) /r^2

Where F = electrostatic force, Ke = coloumbs constant

q1,q2 = charges, r = distance between two charges

For q and S :

Fsq = Ke(q1q2) / 1^2

Fsq = Ke(q1q2) - - - - - equation 1

For P and S :

Fsp = Ke(q1q2) / 2^2

Fsp = Ke(q1q2) / 4 - - - - - equation 2

Dibiding equation 1 by equation 2

Fsq/Fsp = Ke(q1q2) / Ke(q1q2)/4

Fsq / Fsp = Ke(q1q2) × 4 / Ke(q1q2)

Fsq / Fsp = 4 / 1

Using cross multiplication

Therefore, Fsq = 4 × Fsp

7 0
3 years ago
Cody was looking at his streaming music stats. The Ratio of songs he liked to disliked was 5:6. If he listened to 1,078 songs to
aivan3 [116]
1078 / (5+6) = 98
Like - 5 x 98 = 490
Dislike - 6 x 98 = 588
6 0
3 years ago
Twenty-eight people in student council are running for the offices of president and vice-president. In how many different ways c
gulaghasi [49]

Answer: 756

Step-by-step explanation:

The president can be elected in 28 different ways. After a student is elected president, there are 27 students left to elect a vice president from. So there are 28 x 27 = 756 different arrangements.

8 0
3 years ago
Given: BDis a diameter<br> m 1 = 100°<br> m BC= 30°<br><br> m2 =<br><br> 30<br> 80<br> 100
skad [1K]

Answer:

∠2 = 80°

Step-by-step explanation:

Since BD is a diameter then

∠1 + ∠2 = 180°, that is

100° + ∠2 = 180° ( subtract 100° from both sides )

∠2 = 180° - 100° = 80°

4 0
3 years ago
Read 2 more answers
Candice spent 5 1/4 hours doing her homework. Her brother, Ronald, spent 1/2 that number of hours doing his homework. How many h
Elden [556K]

Let

x-----> the number of hours that Candice spent doing her homework

y-----> the number of hours that Ronald spent doing his homework

we know that

x=5\frac{1}{4}\ hours

convert mixed number to an improper fraction

5\frac{1}{4}\ hours=\frac{5*4+1}{4}= \frac{21}{4}\ hours

so

x=\frac{21}{4}\ hours -------> equation A

y=\frac{1}{2}x ------> equation B

Substitute equation A in equation B

y=\frac{1}{2}*\frac{21}{4}=\frac{21}{8}\ hours

convert an improper fraction to a mixed number

\frac{21}{8}\ hours=2.625=2+0.625=2+\frac{5}{8}=2\frac{5}{8}\ hours

therefore

<u>the answer is the option B</u>

2\frac{5}{8}\ hours

5 0
3 years ago
Read 2 more answers
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