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Fofino [41]
3 years ago
5

If the second term of an arithmetic sequence is 5 and the fourth term is 12, what is the 37th term?

Mathematics
2 answers:
neonofarm [45]3 years ago
7 0
By using the information in the question, find a equation in the y=mx+b form. Then, plug in 37 as the x value and solve for y.
Setler [38]3 years ago
5 0
Aritmetic sequence
an=a1+d(n-1)
a1=first term
d=common differnce
an=nth term


given
a2=5
a4=12

so
a2=a1+d(2-1)=5
a4=a1+d(4-1)=12

a1+d=5
a1+3d=12
so 12-5=(a1+d)-(a1+3d)=2d=7
2d=7
divide by 2
d=3.5

a2=a1+3.5(1)
5=a1+3.5
minus 3.5 both sides
1.5=a1

an=1.5+3.5(n-1)
37th term
a37=1.5+3.5(37-1)
a37=1.5+3.5(36)
a37=1.5+126
a37=127.5


37th term is 127.5
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Mr. Itol's assistant takes twice as long to complete a computer task as Mr. Itol. If it takes both experts 6 hours to complete t
Lesechka [4]
So, in order to solve this problem, I will set up an equation. First, let's make x= the # of hours it takes Mr. Itol to complete a computer task, and since his assistant takes twice as long, lets make 2x=the # of hours it takes the assistant to complete the task. We also know that it takes the two of them 6 hours to complete the task together. We can now set up the following equation: 

\frac{1}{2x} +  \frac{1}{x} =  \frac{1}{6}

Now, in order to be able to solve this, we have to find the least common denominator, and then we can cancel out the denominators to solve for the top part. The LCD=6x and the new equation becomes: 

\frac{3}{6x} +  \frac{6}{6x} =  \frac{x}{6x}

Now, we can get rid of the denominators, and we get:

3+6=x

So, x= 9

Now we know that Mr. Itol would take 9 hours to complete the task if he were to do it himself. To find how long it would take his assistant to complete the same task by himself, we just need to plug in the x-value into 2x:

2(9)=18

Therefore, your answer is that Mr. Itol would take 9 hours to do the job alone, while his assistant will take 18 hours (double the time) to do the job alone.

Hope this helps :) 










4 0
3 years ago
PLEASE HELP <br> WILL GIVE BRAINLIEST AND 5.0 STAR RATING
liq [111]

Answer:

6 units

Step-by-step explanation:

count 6 units up

6 0
2 years ago
Read 2 more answers
A, b and c are the sides of a right triangle, where side a is across from angle a, side b is across from angle b, and side c is
Vera_Pavlovna [14]
<span>Find missing length :
</span>
a² + b² = c²
c² = 19² + 34²
c² = 1517
c = √1517
c = 38.95 units.


Find missing angle A:

\dfrac{a}{\sin(a)} =  \dfrac{c}{\sin(c)}

\dfrac{19}{\sin(a)} =  \dfrac{38.95}{\sin(90)}

\sin(a) = 0.488

a = sin^{-1} (0.488)

a = 29.2 \textdegree


Find Missing B:

\dfrac{b}{\sin(b)} = \dfrac{c}{\sin(c)}

\dfrac{34}{\sin(b)} = \dfrac{38.95}{\sin(90)}

\sin(b) = 0.873

b = sin^{-1}(0.873)

b = 60.8 \textdegree


Answer: Missing length =  38.95 units ; Missing angles =  29.2°  and  60.8° 

8 0
3 years ago
If y varies jointly with x and z and y=40 when x=10 and z=9 find z when x =55 and y=105
Eduardwww [97]

Answer:

  z = 189/44

Step-by-step explanation:

The "varies jointly" relationship can be expressed by ...

  y = kxz

We can find k from the given values.

  40 = k(10)(9)

  40/90 = k = 4/9 . . . divide by the coefficient of k

Now we want to find z for given values of x and y. That can be found from ...

  y = (4/9)xz

  9y/(4x) = z . . . . . multiply by 9/(4x)

Filling in the new numbers, we have ...

  z = 9·105/(4·55)

  z = 4 13/44 = 189/44 ≈ 4.2954...(repeating 54)

4 0
3 years ago
8x55= hmmm what is this summ
Evgen [1.6K]

Answer:

440

Step-by-step explanation:

55x8. 8x5=40 carry the 4. 8x5=40+4=44 so it is 440

5 0
3 years ago
Read 2 more answers
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