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3 years ago

Find an explicit formula for the arithmetic sequence -31,-27,-23,-19,...

1 answer:

6 0

First term (a) = -31

Common Difference (d) = -27 - (-31) = -27 + 31 = 4

nth term = a + (n - 1)d = -31 + (n - 1)4 = -31 + 4n - 4 = 4n - 35

Hence, the formula is 4n - 35.

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Need Help ASAP Will Mark Brainliest

N76 [4]

Answer:

Irrational:

3√25, √256, √141

Rational:1.1625, 5.516...

Step-by-step explanation:

8 0

3 years ago

Which perfect square equation represents x^2+4x+1=0 by completing the square?

natali 33 [55]

First thing to do is to move the constant over to the other side of the equals sign. Then we will complete the square on the x terms. We will take half the linear term, square it, then add it to both sides. Our linear term is 4. Half of 4 is 2, and 2 squared is 4. $x^2+4x+4=-1+4$ . In the process of completing the square we have created a perfect square binomial on the left which is $(x+2)^2=3$ . A is our answer.

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3 years ago

You have two circles, one with radius r and the other with radius R. You wish for the difference in the areas of these two circl

gtnhenbr [62]

Answer:

maximum difference of radii = $(r-R)=\frac{1}{2\pi ^{2}}$

Step-by-step explanation:

We know that area of circle is given by

$A=\pi \times (radius)^{2}$

For circle with radius 'r' we have

$A_{1}=\pi \times (r)^{2}$

For circle with radius 'R' we have

$A_{2}=\pi \times (R)^{2}$

Now according to given condition we have

$A_{1}-A_{2}\leq \frac{5}{\pi }$

$\Rightarrow \pi r^{2}-\pi R^{2}\leq \frac{5}{\pi }\\\\\Rightarrow (r^{2}-R^{2})\leq \frac{5}{\pi ^{2}}\\\\(r+R)(r-R)\leq \frac{5}{\pi ^{2}}\\\\\because (a^{2}-b^{2})=(a+b)(a-b)\\\\(r+R)=10(Given)\\\\\Rightarrow(r-R)\leq \frac{5}{10\pi ^{2}}\\\\\therefore (r-R)\leq\frac{1}{2\pi ^{2}}$

Thus maximum difference of radii = $(r-R)=\frac{1}{2\pi ^{2}}$

6 0

4 years ago

30 points who gets em?? I need help with math, the screenshot is below.

malfutka [58]

Answer:

...none of them are correct, but if i had to choose, it'd be A.

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

You can choose between two telephone companies. Company A has a monthly charge of $10 plus 5¢ a minute for each minute of long d

Diano4ka-milaya [45]

Answer: Company A would be a better deal for number of minutes over 200

Step-by-step explanation:

Let x represent the number of minutes that you would use with either company A or company B.

Company A has a monthly charge of $10 plus 5¢ a minute for each minute of long distance calls. It means that the cost of x minutes of long distance call is

10 + 0.05x

Company B has a monthly charge of $8 plus 6¢ a minute for long distance calls. It means that the cost of x minutes of long distance call is 10 + 0.05x

8 + 0.06x

For Company A to be a better deal, it means that

10 + 0.05x < 8 + 0.06x

10 - 8 < 0.06x - 0.05x

2 < 0.01x

0.01x > 2

x > 2/0.01

x > 200

5 0

3 years ago