All categories

3 years ago

My math teacher hates me :( but idc

Mathematics

1 answer:

kondaur [170]3 years ago

5 0

Would you like a hug?

You might be interested in

The 5th term in a geometric sequence is 40. The 7th term is 10. What is (are) the possible value(s) of the 4th term?

Lena [83]

Answer:

possible values of 4th term is 80 & - 80

Step-by-step explanation:

The general term of a geometric series is given by

$a(n)=ar^{n-1}$

Where a(n) is the nth term, r is the common ratio (a term divided by the term before it) and n is the number of term

Given, 5th term is 40, we can write:

$ar^{5-1}=40\\ar^4=40$

Given, 7th term is 10, we can write:

$ar^{7-1}=10\\ar^6=10$

We can solve for a in the first equation as:

$ar^4=40\\a=\frac{40}{r^4}$

Now we can plug this into a of the 2nd equation:

$ar^6=10\\(\frac{40}{r^4})r^6=10\\40r^2=10\\r^2=\frac{10}{40}\\r^2=\frac{1}{4}\\r=+-\sqrt{\frac{1}{4}} \\r=\frac{1}{2},-\frac{1}{2}$

Let's solve for a:

$a=\frac{40}{r^4}\\a=\frac{40}{(\frac{1}{2})^4}\\a=640$

Now, using the general formula of a term, we know that 4th term is:

4th term = ar^3

Plugging in a = 640 and r = 1/2 and -1/2 respectively, we get 2 possible values of 4th term as:

$ar^3\\1.(640)(\frac{1}{2})^3=80\\2.(640)(-\frac{1}{2})^3=-80$

possible values of 4th term is 80 & - 80

3 0

3 years ago

Choose the equation and the slope of the line that passes trough (5,-3) and is parallel to the x-axis

lesya [120]

Answer:

y = -3

Step-by-step explanation:

Parallel to the x axis means that it is a horizontal line

It is of the form y =

Given the point ( 5, -3)

The y value is -3

y = -3

3 0

3 years ago

What is the best estimate of the product 3780 times 2

Leviafan [203]

Answer:

7560

Step-by-step explanation:

I used google calculator

6 0

3 years ago

According to a survey of workers 6/50 of them walk to break 3/50 bike 10/50 carpool and 31/50 Drive alone what percent of worker

otez555 [7]

Answer:

Step-by-step explanation:

6+3=9/50

9/50 x 100=18 percent

7 0

2 years ago

13. please help with this

posledela

Answer:

Looking at the question and goin step by step

we get to know that equation formed wud be ->

product of nine and a number - 9*x = 9x

added to 6 => 9x+6

gives us 24

9x + 6 = 24

now 9x = 18 and x = 18/9 = 2

and now keeping x value = 9 *(2)+6 we get 18+6 = 24

so lhs = rhs = 24

9x+6=24 option a

7 0

3 years ago