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erica [24]
3 years ago
9

If the nth term of a number sequence is n² – 3, find the first 3 terms and the 10th term​

Mathematics
1 answer:
nignag [31]3 years ago
6 0

Answer:

-2, 1, 6 and 97

Step-by-step explanation:

Tn = n² - 3

First Term : T1 = (1)² - 3 = -2

Second Term : T2 = (2)² - 3 = 1

Third Term : T3 = (3)² - 3 = 6

Tenth Term : T10 = (10)² - 3 = 97

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What is the result when the number 43 is decreased by 2.6%?
Darina [25.2K]

Answer:

41.882

Step-by-step explanation:

43 x 2.6% is 1.118, and when you subtract that from 43, you get 41.882.

8 0
2 years ago
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Sofia hits a softball straight up. the equation h= -16t^2 + 90t models the height h, in feet, of the ball after t seconds. How l
andrezito [222]
It is in the air 5.625 seconds.

Using the quadratic formula,

t=\frac{-b\pm \sqrt{b^2-4ac}}{2a}
\\
\\=\frac{-90\pm \sqrt{90^2-4(-16)(0)}}{2(-16)}
\\
\\=\frac{-90\pm \sqrt{8100-0}}{-32}
\\
\\=\frac{-90\pm \sqrt{8100}}{-32}=\frac{-90\pm90}{-32}
\\
\\=\frac{-90+90}{-32}\text{ or }\frac{-90-90}{-32}=\frac{0}{32}\text{ or }\frac{-180}{-32}
\\
\\=0\text{ or }5.625

0 is when the ball is first launched, 5.625 is when it hits the ground again.
4 0
3 years ago
What is the equation, in slope-intercept form, of the line that is perpendicular to the line
Len [333]

Answer:

y = x - 1 (third answer choice)

Step-by-step explanation:

From the given we see immediately that the slope of this line is -1.  The slope of a line perpendicular to this one is +1, which is the negative reciprocal of -1.  The slope-intercept form is y = mx + b.  To find b, the y-intercept, we make the following substitutions:  m = -1, y = -2, x = -2:

-2 = +1(-2) + b, or +1 = 2 + b, or b = -1

and so the desired equation is y = x - 1 (third answer choice)

4 0
3 years ago
an air conditioning system can circulate 360, cubic feet of air per minute. how many cubic yards of air can it circulate per min
ahrayia [7]

Alright, lets get started.

3 feet = 1 yard

If we cube both sides of the equation, we will get the conversion into cubic yards

So,

3*3*3 cubic feet = 1 * 1*1 cubic yards

27 cubic feet = 1 cubic yards

So, 1 cubic feet = \frac{1}{27} cubic yards

So, 360 cubic feet = 360 *\frac{1}{27} cubic yards

So, 360 cubic feet = 13.33 cubic yards

13.33 cubic yards of air can it circulate per minute. : Answer

Hope it will help :)



3 0
3 years ago
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What is the sum of the angle measures in this shape
Alexxx [7]

Answer:

180°

Step-by-step explanation:

The sum of angles in any triangle is 180°

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