All of the following expressions are equivalent except ____

Find s(20) for the sequence s(n)=5n-2,ne {1 2, 3,... }

zavuch27 [327]

Answer:

Step-by-step explanation:

c

S(20)=

5*20-2=100-2=98

3 0

3 years ago

The value of a car bought new for $28900 decreases 15% each year. Identify the function for the value of the car. Does the funct

Eva8 [605]

Answer:

V (t) = 28,900 - 4,335t

The function clearly represent a decay

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Value of the car = $ 28,900

Annual depreciation = 15% = 0.15

2. Identify the function for the value of the car. Does the function represent growth or decay?

Let y represent the value of the car after t years of utilization, let p the price of the car and d, the annual depreciation, therefore:

V (t) = p - (d * t * p)

Replacing with the values we know:

V (t) = 28,900 - (0.15 * t * 28.900)

V (t) = 28,900 - 4,335t

The function clearly represent a decay.

8 0

3 years ago

Write an equation in slope intercept form for the line that goes through the point (-2,-5) and (3,5)

Orlov [11]

Answer:

Slope intercept form is y=mx+b

Let’s first find the slope, which is y2-y1/x2-x1

Let’s make the point (-2,-5) our x1 and y1 and let’s make the point (3,5) our x2 and y2.

5+5/3+2

10/5

2 = slope

So far, our equation is looking like this:

y=2x + b

To find the y-intercept (b), let’s plug in one of the points.

Let’s use the point (3,5)

(5)=2(3) + b

5=6 + b

What adds to 6 to equal 5? -1

So, our y-intercept is going to be -1

Finally, our equation is going to look like this:

y=2x-1

Hope I helped!

5 0

3 years ago

Solve for x.

IceJOKER [234]

2x - 6 = 18
2x = 18 + 6 (24)
2x = 24
x = 12

3x + 9 = 2x + 24
3x + 9 = 2x + 24 - 9 (2x + 15)
3x = 2x + 15
3x - 2x = 15
x = 15

4x = 2.4? 0.4x = 2.4? I can't tell what the question is. Let me know in the comments and I'll answer it.

5x + 4 = 24
5x = 24 - 4 (20)
5x = 20
x = 4

2x / 3 = 4
2x = 4 * 3 (12)
x = 6

3(x + 7) = 51
3x + 21 = 51
3x = 51 - 21 (30)
3x = 30
x = 10

Hope I helped :)

5 0

3 years ago

The following data pairs represent the average temperature x (in degrees Fahrenheit) and electricity

elena55 [62]

Answer:

The correct answer is C. r = 0 because is most likely the closest to the correlation coefficient of the data.

Step-by-step explanation:

Using Excel, we captured the data provided for the 12 different homes for calculating the correlation coefficient manually, this way:

n = 12

∑x = 904

∑y = 2,169

∑xy = 167,532

∑x² = 69,552

∑y² = 404,615

r = [n *∑xy - (∑x * ∑y)]/[√(n * ∑x² - (∑x)²) * (n * ∑y² - (∑y)²)]

Replacing with the real values, we have:

r = [12 * 167,532 - (904 * 2,169)]/[√(12 * 69,552 - 904²) * (12 * 404,615 - 2,169²)]

r = [2'010,384 -1'960,776]/[√(834,624 - 817,216) * (4'855,380 - 4'704,561]

r = 49,608/√17,408 * 150,819

r = 49,608/ 51'239.215

r = 0.00097

The correct answer is C. r = 0 because is most likely the closest to the correlation coefficient of the data.

4 0

3 years ago

Read 2 more answers

All of the following expressions are equivalent except _____.