Number 11 please help me

The formula for the nth term of the arithmetic sequence first term is 9 common difference is -2

Yanka [14]

Answer:

$a_n = 9 - 2(n-1)$

Step-by-step explanation:

Arithmetic sequence:

In an arithmetic sequence, the difference between consecutive terms is always the same, and is called common difference.

The nth term is given by the following equation:

$a_n = a_1 + (n-1)d$

In which $a_1$ is the first term and d is the common difference.

First term is 9 common difference is -2

This means that $a_1 = 9, d = -2$

So, the nth term is given by:

$a_n = a_1 + (n-1)d$

$a_n = 9 + (n-1)(-2)$

$a_n = 9 - 2(n-1)$

3 0

3 years ago

You toss n balls into n bins. for each toss there is a 1/n probability that the ball you toss lands in any one of the bins. afte

defon

Answer:1/n - 2/n= -1/n

7 0

3 years ago

Depreciation is the decrease or loss in value of an item due to age, wear, or market conditions. We usually consider

kiruha [24]

Answer:

Part A) $V(t)=-5,750t+101,250$

Part B) $\$55,250$

Step-by-step explanation:

Part A) Express the value of the bulldozer, V, as a function of how many years old it is, t.

Let

V ----> the value of the bulldozer (dependent variable or output value)

t ----> the number of years (independent variable or input value)

we know that

The linear function in slope intercept form is equal to

$V(t)=mt+b$

we have the ordered pairs

(0,101,250) and (15,15,000)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute

$m=\frac{15,000-101,250}{15-0}$

$m=-\$5,750\ per\ year$ ----> is negative because is a decreasing function

The value of b is the initial value

so

$b=\$101,250$

substitute

$V(t)=-5,750t+101,250$

Part B) The value of the bulldozer after 8 years is

For t=8 years

substitute the value of t in the linear equation

$V(t)=-5,750(8)+101,250=\$55,250$

4 0

3 years ago

Solve the Equation p+5/8=15/16?

Sphinxa [80]

So the first thing you want to do when faced with two fractions with different denominators (when subtracting or adding) is to make the denominators the same. So for this equation they would turn out to be p+10/16=15/16 (because 16 is the lowest common denominator, 8 times two) so then you want to subtract 10/16 from 15/16 to isolate the variable (p) which would get:
p=5/16
This is the final answer because it cannot be simplified.
Hope this helps!

6 0

4 years ago

The inequality below compares two rational numbers. -8/18 > -17/27

astraxan [27]

Answer:

I have provided it below

Step-by-step explanation:

- 8/18 > - 17/27

- 0.444444 > 0.62963

So this inequality is TRUE

Hope this helps!!

6 0

3 years ago