Open a bank account make a deposit $150

Find the first term and the common difference of the arithmetic sequence described. Give a recursive formula for the sequence. F

Rama09 [41]

Answer:

27

Step-by-step explanation:

375 7579 779

8 0

3 years ago

The sum of the interior angles of a polygon with n sides is 1980°. Find n.

natka813 [3]

Answer:

n = 13

Step-by-step explanation:

The sum of the measures of the interior angles of an n-sided polygon is

(n - 2)180

Set (n - 2)180 equal to 1980 and solve for n.

(n - 2)180 = 1980

Divide both sides by 180.

n - 2 = 11

Add 2 to both sides.

n = 13

3 0

2 years ago

Read 2 more answers

PLEASE HELP WILL GIVE 1ST RIGHT ANSWER AS BRAINIEST The radius of a circle is x+6 and its diameter is 3x+5. What is the circumfe

Rzqust [24]

Answer:

The circumference of the circle = 26π unit.

Step-by-step explanation:

Given:

Radius of the circle, r = "x+6"

Diameter of the circle, d = "3(x)+5"

We have to find the circumference of the circle in terms of pi.

Formula to be used:

Circumference of a circle = 2πr or πd

As we know that:

Radius = Half of diameter

So,

⇒ $radius=\frac{diameter}{2}$

⇒ $x+6=\frac{3x+5}{2}$

⇒ $2\times (x+6)=\frac{3x+5}{2}\times 2$

⇒ $2x+12=3x+5$

⇒ $12-5=3x-2x$ ...<em>Arranging variables and constants. </em>

⇒ $7=x$

Plugging x = 7 we will find the radius and the diameter.

⇒ Radius = "x+6" = "7+6" = 13

⇒ Diameter = "3(x)+5" = 3(7)+5 =26

Lets find the circumference of the circle.

⇒ Circumference = $2\pi r= 2\pi (13) = 26 \pi$ Or

⇒ Circumference = $\pi d=\pi (26)=26\pi$

The circumference of the circle = 26π unit.

4 0

2 years ago

Question 4(Multiple Choice Worth 4 points)

adell [148]

Answer:

C. Males Prefer thriller movies. I'm pretty sure. I'd need the photo.

Step-by-step explanation:

If you look at the graph you'll see that 56 males like thriller while only 18 of women like it. These two data points have a difference of 38, making it the largest difference than any other category, therefore, its the strongest.

8 0

2 years ago

Read 2 more answers

Which of the following correctly describes the domain of the function shown

labwork [276]

Option D:

$\{x: x \neq 1\}$ is the domain of the function.

Solution:

Given function is

$$r(x)=\frac{2 x}{x-1}$

<u>To find the domain of the function:</u>

Option A: $\{x: x \neq 0\}$

Substitute x = 0 in r(x).

$$r(0)=\frac{2 \times 0}{0-1}=0$

If x = 0, then r(0) = 0

So that x ≠ 0 is false.

So, $\{x: x \neq 0\}$ is not the domain of the function.

Option B: $\{x: x \neq \pm 1\}$

Substitute x = –1 in r(x).

$$r(-1)=\frac{2 \times (-1)}{-1-1}=1$

If x = –1, then r(–1) = 1

So that x = ± 1 is false.

So, $\{x: x \neq \pm 1\}$ is not the domain of the function.

Option C: $\{x: \text { all real numbers }\}$

Substitute x = 1 in r(x).

$$r(1)=\frac{2 \times 1}{1-1}=\frac{2}{0}$

It is indeterminate.

So, all real numbers are not the domain of the function.

Option D: $\{x: x \neq 1\}$

Substitute x = 1 in r(x).

$$r(1)=\frac{2 \times 1}{1-1}=\frac{2}{0}$

It is indeterminate.

So, $\{x: x \neq 1\}$ is the domain of the function.

4 0

2 years ago