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garri49 [273]
2 years ago
5

Find the nth term of 67,56,45,34

Mathematics
1 answer:
kvv77 [185]2 years ago
7 0

Answer:

  an = 67 -11(n -1)

Step-by-step explanation:

The terms of your arithmetic sequence have a common difference of -11. The first term is 67.

These values can be used in the generic formula for the n-th term:

  an = a1 +d(n -1) . . . . . . first term a1, common difference d

  an = 67 -11(n -1) . . . . . formula for the n-th term

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Answer:

You need to choose B as your answer

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5. Use any method to solve the equation. If necessary, round to the nearest hundredth.
DanielleElmas [232]

Answer:

2.45, -2.45

Step-by-step explanation:

Since the equation has only one term in the unknown "x", we can solve for it isolating "x" on one side of the equal sign:

8x^2-48=0\\8x^2=48\\x^2=\frac{48}{8} \\x^2=6\\x=+/-\sqrt{6} \\x=+/- 2.449

Which we can round to: x = - 2.45 and x = 2.45

7 0
3 years ago
A ball is thrown from the top of a 50-ft building with an upward velocity of 24 ft/s. When will it reach its maximum height? How
sergeinik [125]
24ft/s for the 1st second then it'd be 9.8mp/s which is the speed of velocity towards earth, so the 24ft/s - the 9.8 would be 14.2ft/s which is the second, the third would then be 4.4 after again subtracting 9.8. That is as far as I got, hope that helps even slightly
7 0
3 years ago
Katie has been withdrawing the same amount of money from her savings account every month. The table below shows the amount of mo
pochemuha
<h3>Answer:  Choice B)  $790</h3>

==============================================================

Explanation:

x = number of months

y = account balance

The first column of the table has (x,y) = (8,470) to mean that on month 8, her balance was $470

Then we have (10, 390) meaning x = 10 and y = 39. As x increased by 2, y dropped by 470-390 = 80 dollars. She withdrew $80 over the course of two months. Therefore, she is withdrawing 80/2 = 40 dollars a month. This is the slope value. It represents the rate of change. We could use the slope formula to find the same result.

Let m = -40 be the slope. It's negative to indicate the value of y goes down as x goes up, or vice versa.

With m = -40, x = 8 and y = 470, we can find the y intercept b like so

y = mx+b

470 = -40*8+b

470 = -320+b

470+320 = b

790 = b

b = 790 is the y intercept, and it represents the initial account balance before Katie started withdrawing money.

In other words, it represents the starting amount of money she has.

-------------------------

As a slight alternative, we could use the point slope form to find the y intercept

y - y1 = m(x - x1)

y - 470 = -40(x - 8)

y = -40(x-8) + 470

y = -40x + 320 + 470

y = -40x + 790

You don't have to use (x,y) = (8,470). You can use any column you want from the table of values. The value of m will be m = -40 the whole time however.

-------------------------

As a way to check to see if we have the correct equation, try plugging in various values of x to see if you get the proper y values as outputs as shown in the table.

For instance, if we tried x = 10, then,

y = -40x + 790

y = -40*10 + 790

y = -400+790

y = 390

That confirms column 2. I'll let you verify the other columns.

8 0
2 years ago
D = {-1, -2, 0, 1, 2} is d a subset of itself
Rina8888 [55]

Answer:

yes, it is.

Step-by-step explanation:

8 0
3 years ago
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