PLEASE HELP IM TIMEZ) What is the value of the arithmetic series below? A. B. C. D.

s(t) = 0.29t2 − t + 25 gallons per year (0 ≤ t ≤ 7), where t is time in years since the start of 2007. Use a Riemann sum with n

Sav [38]

Answer: The answer is 300 gallons.

Step-by-step explanation: Riemann sum is a method of calculating the total area under a curve on a graph, which is also known as Integral.

To calculate that area, we divide it into a number of rectangles with one point touching the curve. The curve has a closed interval [a,b] that can be subdivided into n subintervals, each having a width of Δ $x_{k}$ = $\frac{b-a}{n}$

If a function is defined on the closed interval [a,b] and $c_{k}$ is any point in [ $x_{k-1}$ , $x_{k}$ ], then a Riemann Sum is defined as ∑f( $c_{k}$ )Δ $x_{k}$ .

For this question:

Δ $x_{k}$ = $\frac{7-0}{5}$ = 1.4

Now, we have to find s(t) for each valor on the interval:

s(t) = 0.29 $t^{2}$ - t +25

s(0) = 25

s(1) = 24.29

s(2) = 24.16

s(3) = 24.61

s(4) = 25.64

s(5) = 27.25

s(6) = 29.44

s(7) = 32.21

Now, using the formula:

∑f( $c_{k}$ )Δ $x_{k}$ = 1.4(25+24.29+24.16+24.61+25.64+29.44+32.21)

∑f( $c_{k}$ )Δ $x_{k}$ = 1.4(212.6)

∑f( $c_{k}$ )Δ $x_{k}$ ≅ 300

With Riemann Sum, it is estimated the total country's per capita sales of bottled water is 300 gallons.

3 0

3 years ago

Why is the speed not the same on each surface

gulaghasi [49]

Answer

Speed depends on the amount of force you put into it... it the force is the same on the each surface then it will depend on the roughness of the surface as in friction

5 0

3 years ago

Carey baked 10 cookies with 2 scoops of flour. With 3 scoops of flour, how many cookies can Carey bake? Solve using unit rates.

IRISSAK [1]

First find out how many cookies one scoop of flour can make
If 2 scoops make 10
Then 1 scoop is --- 10/2
Which is 5
3 scoops of flour make
5*3=15

5 0

3 years ago

Read 2 more answers

PLEASE! PLEASE! help!

qaws [65]

1.) The answer is 825.75 (multiply the given tax rates to the gross pay)
2,785 x 13% federal taxes = 362.05
2,785 x 9% state tax = 250.65
2,785 x 7.65% FICA = 213.05
 825.75

2.) The answer is 288.60 (multiply the interest rate to the balance, no need to add a late payment fee since they paid on 6/1, not after)
2,748.56 x 10.5% = 288.60

3.) The answer is 182.13 (multiply the APR to the original purchase price, no need to add the sales tax)
 1,500 x 11.75% = 182.13

4.) The answer is 371.92 (deduct the reward to the interest)
Interest : 2,975.34 x 13.5% = 401.67
Reward : 2,975.34 x 1% = 29.75
371.92

5.) The answer is 1,339.13 (deduct the interest to the monthly payment)
Monthly payment : 2,236.00
Monthly interest : 896.87 [(231,450 x 4.65%) / 12 months]
 1,339.13

Hope this helps! :)

4 0

3 years ago

What is the degree of the polynomial?

BaLLatris [955]

Given:

$5 z^{3}-2 z^{4}-9 z^{2}+z$

To find:

Degree of the polynomial

Solution:

Degree of a polynomial:

The degree of the polynomial is highest power of the variable in the polynomial.

$5 z^{3}-2 z^{4}-9 z^{2}+z$

Here, the highest power is 4.

The degree of the polynomial is 4.

8 0

2 years ago