MATHEMATICS HIGH SCHOOL

Find the ninth term of the geometric sequence if a1 = 7 and r = 2

Answers

Answer 1
Answer: For the geometric sequence:
a n = a 1 * r^(n-1)
a 1 = 7
r = 2
a 9 = a 1 * r^8 =
= 7 * 2^8 = 7 * 256 = 1,792
Answer:
The ninth term of the geometric sequence is 1,792.
Answer 2
Answer:

Answer:

The ninth term of the geometric sequence is 1,792.

Step-by-step explanation:

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What is x squared minus 25 equals 0

Answers

Answer:

its 9 at night gts.

Step-by-step explanation:
5 squared is 25
25 - 25 is 0
So yeah, x = 5

How do you find the circumference when you ONLY know the area?

Answers


It's easy if you remember the formulas you learned for the area, diameter,
and circumference of a circle:

-- Area = (pi) (radius)²
-- Diameter = (2) (radius)
-- Circumference = (pi) (diameter)

You know the area. So let's use the first formula to find the circle's radius.

Area = (pi) (radius)²

Divide each side by (pi):      Area/pi  =  (radius)²

                                            Radius = √(area/pi)

Now use the second formula to find the circle's diameter:

Diameter = (2) (radius)

Diameter = 2 √(area/pi)

Now use the third formula to find the circle's circumference:

Circumference = (pi) (diameter)

Circumference = (pi) (2) √(area/pi)

With just a little tweak, that can be written slightly more simply:

Circumference = 2 √(pi x area)

See ?  Just the three circle formulas,and a lot of massaging.

Katrina is building a deck. She cuts 3 lengths of wood from a 72-inch board. The first length is 30 3/4 inches. The second length is 12 1/4 inches. And the third length is 16 1/4 inches. How much of the original board remains after Katrina makes her cuts?

Answers

first add them together
30 and 3/4+12 and 1/4+ 16 and 1/4=30+3/4+12+1/4+16+1/4 =30+12+16+3/4+1/4+1/4=58+1+1/4=59+1/4=59 and 1/4
subtract from 72
72-59 and 1/4=72-(59+1/4)=72-59-1/4=71+1-59-1/4= 71-59+1-1/4= 71-59+4/4-1/4=12+3/4

the legnth left is 12 and 3/4 inches

Which of the quadratic functions listed is written in vertex form?

Answers

Answer:

A is the best answer.

Step-by-step explanation:

A is. It can be written as y [ or v] = -2(x + 3)^2 + 7 which is the pure form of a vertex equation.

C doesn't work since that is a linear function. Nothing is squared.

D doesn't work. That is just the way an ordinary quadratic is written. (Standard form).

B doesn't work. The quadratic is written in factored form.

ANSWER

y - 7= - 2 {(x + 3)}^(2)

EXPLANATION

The vertex form of a quadratic function is given by:

y = a {(x - h)}^(2) + k

From the given options, the first choice is

y - 7= - 2 {(x + 3)}^(2)

y=- 2 {(x + 3)}^(2) + 7

where a=-2, h=-3, and k=7.

Therefore the vertex is (-3,7)

Hence the first choice is the correct option.

Which expression is equivalent to 3sqt 216x^3y^6z^126xy^2z^4
18xy^3z^6
36xy^2z^4
72xy^3z^6

Answers

Answer:

Option 1

\sqrt[3]{216x^3y^6z^(12)}=6xy^2z^4

Step-by-step explanation:

Given : Expression \sqrt[3]{216x^3y^6z^(12)}

To find : Which expression is equivalent to given expression?

Solution :

The given expression is

\sqrt[3]{216x^3y^6z^(12)}

We can write it as,

=(216x^3y^6z^(12))^{(1)/(3)}

Applying power rule, (x^a)^b=x^(a* b)

=(216)^(1)/(3)(x^3)^(1)/(3)(y^6)^(1)/(3)(z^(12))^{(1)/(3)}

=(6^3)^(1)/(3)(x^3)^(1)/(3)(y^6)^(1)/(3)(z^(12))^{(1)/(3)}

=6xy^2z^4

Therefore, Option 1 is correct.

\sqrt[3]{216x^3y^6z^(12)}=6xy^2z^4
The equivalent expression of \sqrt[3]{216x^3y^6z^(12)} is 6xy^2z^4

Select all the group of numbers that are ordered correctly from least to greatest

Answers

Answer: B,C,D

Step-by-step explanation:

Its simple
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Can someone help me it’s geometry :(