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3 years ago

Find the next four terms in the arithmetic sequence. a - 6, a - 2, a + 2, ...

1 answer:

5 0

The next four terms in the sequence are a + 6, a + 10, a + 14, a + 18. This is because you are adding 4 to what is being done to “a” each time. If you look at the pattern, you’ll see that 4 is being added and the “a” stays the same.

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Help! I don't understand this

Murljashka [212]

The area of your circle is about 530.93 m

The diameter of your circle is 26 m, just multiply your radius by 2

The circumference of the circle is about 81.68

The equation to finding the area is

pi x r x 2

3.14 times 13 times 2

The equation to finding the diameter

r x 2

radius times 2

The equation for finding circumference

pi x d

3.14 times 26

Let me know if im wrong, otherwise I want brainliest, PLEASE!!

8 0

3 years ago

Joe's annual income has been increasing each year by the same dollar amount. The first year his income was $17 comma 90017,900

Vedmedyk [2.9K]

Answer:

In 17th year, his income was $30,700.

Step-by-step explanation:

It is given that the income has been increasing each year by the same dollar amount. It means it is linear function.

Income in first year = $17,900

Income in 4th year = $20,300

Let y be the income at x year.

It means the line passes through the point (1,17900) and (4,20300).

If a line passes through two points $(x_1,y_1)$ and $(x_2,y_2)$ , then the equation of line is

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

The equation of line is

$y-17900=\frac{20300-17900}{4-1}(x-1)$

$y-17900=\frac{2400}{3}(x-1)$

$y-17900=800(x-1)$

$y-17900=800x-800$

Add 17900 on both sides.

$y=800x-800+17900$

$y=800x+17100$

The income equation is y=800x+17100.

Substitute y=30,700 in the above equation.

$30700=800x+17100$

Subtract 17100 from both sides.

$30700-17100=800x$

$13600=800x$

Divide both sides by 800.

$\frac{13600}{800}=x$

$17=x$

Therefore, in 17th year his income was $30,700.

5 0

3 years ago

2) f(x) = x2 - 6x +11 Degree: Lead Coefficient: End behavior:

Bad White [126]

Answer:

13 - 6 x

Step-by-step explanation:

4 0

3 years ago

A major baseball diamond is a square with side lengths of 90 feet.

iren2701 [21]

Answer: $\bold{a)\quad 90\sqrt2\qquad \qquad b)\quad 45\sqrt2}$

Step-by-step explanation:

Since you are looking for the distance from home plate to second base, you are actually looking for the length of the diagonal of the square. Use the Pythagorean Theorem: a² + b² = c² where a and b are the side lengths and c is the length of the diagonal.

$90^2+90^2=c^2\\8100+8100=c^2\\16200=c^2\\\sqrt{16200}=c\\\boxed{90\sqrt2}=c\qquad \qquad \text{which is approximately 127.28}\\\\\\\\\text{Halfway between home plate and 2nd base means divide that length by 2:}\\\\\dfrac{90\sqrt2}{2}=\boxed{45\sqrt2}$

7 0

3 years ago

If f(x) = 3x – 4 and g(x) = x, find the value of f(3) – g(2).

Mamont248 [21]

Answer:

Step-by-step explanation:

f(3) = 3(3)-4

f(3)= 9-4

f(3) = 5

g(2) = (2)

g(2) = 2

f(3)-g(2) = ?

(5) - (2) = ?

(5) - (2) = 3

6 0

3 years ago