MATHEMATICS HIGH SCHOOL

What is the 5th term of the geometric sequence 3/20,3/2,15...?

Answers

Answer 1
Answer: Common ratio, r = (3/2)/(3/20) = 10.

3/20,   3/2,  15, 

4th term = 15*10 = 150

5th term = 150*10 = 1500

5th term = 1500

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MIDDLE SCHOOL

What is the surface of a cylinder that has a height of 8 and a radius of 10

Answers

ANSWER

square units.

EXPLANATION

The given cylinder has a height of 8 and a radius of 10.

The formula for calculating the surface area of a cylinder is

We substitute r=8 and h=10 into the formula to get:

Or using π=3.14

units square.

Answer:

Surface area I'm guessing.  1,130.4

Step-by-step explanation:

The formula for the surface area of a cylinder is: 2*pi*r^2 + 2*pi*r*h.

Plug in the values given.

2*pi*10^2 + 2*pi*10*8

628 + 502.4 = 1,130.4

(If you want the most precise value, use a calculator for pi instead of just 3.14.)

HIGH SCHOOL

An aquarium holding African cichlids is 4 inches higher than it is wide. Its length is 30 inches, and its volume is 4200 cubic inches. What is the length and width?

Answers

H = w + 4 ;
V = h × w × l ;
Then, 4200 = ( w + 4 ) × w × 30 ;
4200 ÷ 30 = ( w + 4 ) × w  ;
140 = ( w + 4 ) × w  ;
w^2 + 4w - 140 = 0 ;
 For ax^2 + bx + c = 0, the value of x is given by:    ;
In our case, a = 1 ; b = 4 ; c = - 140 
Roots are - 14 and 10 ;
The correct answer is w = 10inches because w > 0 ;
Finally, h = 14 inches .
MIDDLE SCHOOL

Put these in order from Least to greatest.

-23/6, 8 7/12, √17, 8.6, 3√12, -2.18

Answers

-23/6,-2.18,√17,8 7/12,8.6,3√12

MIDDLE SCHOOL

What is the correct classification of 23x + 16? A. monomial B. binomial C. trinomial

Answers

Answer: B. binomial.


Step-by-step explanation:

1. You can classify polynomials based on the number of terms the polynomial has:

- If it has one term is classified as a monomial.

- If it has two term is classified as a binomial.

- If it has three terms is classified as a trinomial.

2. The polynomial has two terms. Therefore, the correct clasification is: binomial.

3. Then, the correct answer is the option B.


Answer:

B. binomial

Step-by-step explanation:

23x+13  has two terms   so it is a binomial

1 term is a monomial

3 terms is a trinomial

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