What is the equation for an arithmetic sequence when n = 7 and t(n) = 54

1 answer:

5 0

You've given us a single term of an arithmetic series. So far, there are an infinite number of different series that it could be a member of. ... In fact, ANY function f (n) for which f (7) = 54 produces a suitable series for whole-number values of 'n'. Here are a few: ... T(n) = n + 47. ... T (n) = 8n - 2. ... T (n) = -10n + 124 .

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Line s passes through points (7, 10) and (2, 14). Line t is parallel to line s. What is the slope of line t?

notsponge [240]

Answer:

The slope of line t is -4/5.

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(14-10)/(2-7)

m=4/-5

Parallel lines have same slopes.

4 0

3 years ago

A flower garden is shaped like a circle. Its diameter is 40yd. A ring-shaped path goes around the garden. The width of the path

stellarik [79]

Answer:

Number of sand bags needed = 124

Step-by-step explanation:

Diameter of garden = 40 yd

Width of path = 6 yd

Diameter of garden with path = 40 + 2 x 6 = 52 yd

We need to find area of path.

Area of path = Area of garden with path - area of garden

$\texttt{Area of path = }\frac{\pi \times 52^2}{4}-\frac{\pi \times 40^2}{4}\\\\\texttt{Area of path = }867.08yd^2$

Area covered by one sand bag = 7 yd²

$\texttt{Number of sand bags required = }\frac{\texttt{Area of path}}{\texttt{Area covered by one sand bag}}\\\\\texttt{Number of sand bags required = }\frac{867.08}{7}=123.86\approx 124$

Number of sand bags needed = 124

8 0

4 years ago

What is the volume, in cubic feet, of this composite figure? (Do not write

Alenkasestr [34]

I think the answer is 5

8 0

3 years ago

PLZ HELP A. S. A. P.!!

tangare [24]

Since -2 is less than -1 (-2<-1) You will plug -2 into the first equation. -2+8=6
Your answer is 6.

5 0

4 years ago

Determine the amount of an investment if $1000 is invested at an interest rate of 7.3% compounded quarterly for 30 years.

almond37 [142]

Well, this is rather lengthy so...

First, you'd do...
1000 * 0.073 = $73.

$73 is for one quarter, so...

A quarter of a year is 1/4 of the year, so you'd need to do... $73 * 4.
= $292.

$292 is for one year.

Now do...

$292 * 30

Your Answer:
A. $8760 is invested at an interest rate of 7.3% compounded quarterly for 30 years.

4 0

3 years ago