All categories

3 years ago

Find the nth term, a n, of the given arithmetic sequence. a^1 = 75, d = –8, n = 11

Mathematics

1 answer:

kap26 [50]3 years ago

4 0

An = a1+d*(n-1)
a11 = 75-8*(11-1) = -5

You might be interested in

7. Solve the equation using the quadratic formula.<br> 3x^2 = 2(2x+1)

suter [353]

Answer:

$\rm x = \dfrac{2+\sqrt{10}}{3},\dfrac{2-\sqrt{10}}{3}$

Step-by-step explanation:

A quadratic equation is given to us and we need to solve the equation using the quadratic formula . The given equation is ,

$\rm\implies 3x^2=2(2x+1)$

Open the brackets in RHS ,

$\rm\implies 3x^2= 4x + 2$

Transpose all the terms to LHS ,

$\rm\implies 3x^2-4x-2=0$

The general form of a quadratic equation is ax² + bx + c = 0 , and the roots of the equation by the Quadratic Formula ( Shreedhacharya's Formula ) is given by ,

$\rm\implies\red{ x =\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}}$

Using the quadratic formula , we have ,

$\rm\implies x =\dfrac{-(-4) \pm \sqrt{(-4)^2-4(3)(-2) }}{2(3)}$

Simplify ,

$\rm\implies x =\dfrac{4 \pm \sqrt{16+24 }}{6}$

$\rm\implies x = \dfrac{4\pm \sqrt{40}}{6}$

$\rm\implies x =\dfrac{4\pm 2\sqrt{10}}{6}$

$\rm\implies\boxed{\pink{\frak{ x = \dfrac{2+\sqrt{10}}{3},\dfrac{2-\sqrt{10}}{3}}}}$

8 0

2 years ago

The radius of a sphere is 1/3 ft what is the approximate volume of the sphere

Katen [24]

Answer:

0.16 ft

Step-by-step explanation:

v = 4/3 πr³

v = 4/3 × 3.142 × 1/3 × 1/3 × 1/3

v = 0.16 ft

7 0

2 years ago

Daily wages of a factory workers are recorded as

Gnoma [55]

Answer:

I think the answer is c I hope it helps I not a 100 percent

7 0

2 years ago

Read 2 more answers

How much can 23 go into 162?

Aneli [31]

23 can go 7 times into 162! Hope this helps ;(

5 0

2 years ago

Read 2 more answers

The price of a train ticket consists of an initial fee of $5 plus a fee of $2.75per stop

mamaluj [8]

The complete question describes the use of word problems to represent inequalities. The $21 means that there is a limit to the number of stops she can take using the train.

The inequality that represents this scenario is:

$5 + 2.75x \le 21$

From the complete question, we have the following parameters:

Initial Fee = $5

Rate per stop = $2.75

Amount = $21

The inequality that represents the scenario is as follows:

Initial Fee + Rate * Number of stops <= Amount

We use <= because the total charges must not exceed the amount.

Let the number of stops be x.

The above formula becomes

$5 + 2.75 * x \le 21$

$5 + 2.75x \le 21$