MATHEMATICS
MIDDLE SCHOOL

Answer:

Answer:

Domain:

Step-by-step explanation:

For a geometric sequence, the n-th term is given by:

From the question, and .

Hence the explicit formula for the sequence is:

, where

Therefore the domain is natural numbers or positive integers.

MIDDLE SCHOOL

HELP ASAP What is the solution set? −9x + 202 > 94 Enter your answer in the box

Just plug in numbers into x that make it true

MIDDLE SCHOOL

The total volume is the length width and height are 3, 12.5, 8.4

Volume is length time width time height

V = l x w x h

V = 3 x 12.5 x 8.4

V = 315

MIDDLE SCHOOL

Which shows one way to determine the factors of x - 9x2 + 5x – 45 by grouping? O x2(x - 9) – 5(x – 9)

O x2(x+9) – 5(x + 9)

O x(x2 + 5) - 9(x2 + 5)

x(x2 – 5) – 9(x2 - 5)

Answer:

The last one.

Step-by-step explanation:

The grouping of factors are x(x² + 5) - 9(x² + 5).

What is Polynomial?An algebraic expression known as a polynomial requires that all of its exponents be whole numbers. Any polynomial must have variable exponents that are non-negative integers. Constants and variables are components of a polynomial.

We have equation

x³ - 9x² + 5x - 45.

Now, factories the equation as

x² (x-9) + 5(x-9)

= (x² + 5)(x-9)

1. x²(x - 9) - 5(x - 9) ⇒ x³ - 9x² - 5x + 45 (False)

2. x²(x + 9) - 5(x + 9) ⇒ x³ + 9x² - 5x - 45 (False)

3. x(x² + 5) - 9(x² + 5) ⇒ x³ + 5x - 9x² - 45 (True)

4. x(x² - 5) - 9(x² - 5) ⇒ x³ - 5x - 9x² + 45 (False)

Learn more about Polynomial here:

brainly.com/question/1286778

COLLEGE

A restaurant makes vegetable soup using 22 cups of mixed vegetables and 15 cups of stock. Henri tries to make this at home with 5 cups of Mixed vegetables and 10 cups of stock. Is Henri using the correct ratio? Explain

He is doing it wrong because the restaurant uses 22 cups mixed veggies and 15 cups stock. 5 cups of mixed veggies is equal to ( (5/22) × 15 ), which is ~ 3.4 cups of stock and not 10.

The ratio should be 22: 15

or in terms of the question ~7.3 : 5

The ratio should be 22: 15

or in terms of the question ~7.3 : 5

MIDDLE SCHOOL

What is the negative of -1/3 and why??

The negative sign is shorthand symbol for "opposite". So the answer is the opposite of -1/3 = 1/3. This is because it is a value of the same distance from zero on a line scale where zero represents the origin. Imagine a horizontal line (as this scale) where the middle of the line is a point equal to zero. This line extends infinitely to the left and infinitely to the right. -1/3 lies to the left of zero a magnitude of 1/3. And positive 1/3 lies to the right of zero the same magnitude but on the opposite side(to the right). Hope that helps.

Thus, the negative of negative 1/3 is 1/3.

HIGH SCHOOL

6x-58+2x+4=5x

find the value of x

You pass the x in one side and numbers to the other side

8x-5x=58-4

add and subtract

3x=54

divide by 3

x=18

8x-5x=58-4

add and subtract

3x=54

divide by 3

x=18

MIDDLE SCHOOL

Select the correct answer. Atlantis Inc. is in need for funds for its expansion plan. It approaches Uni Bank with its business plan for financial assistance. What is this source of funding known as?

A. preference shares

B. equity shares

C. quasi-external source

D. external source

quasi-external source

COLLEGE

The clutch linkage on a vehicle has an overall advantage of 24:1. If the pressure plate applies a force of 504lb,how much force must the driver apply to release the clutch.

Answer:

the force that must be applied by the driver to release the clutch is 21 lb

Step-by-step explanation:

Data provided:

clutch linkage on a vehicle has an overall advantage = 24:1

Applied force by the pressure plate = 504 lb

Now,

the advantage ratio is given as:

advantage ratio =

on substituting the respective values, we get

=

or

Force applied by the driver to release the clutch =

or

Force applied by the driver to release the clutch = 21 lb

Hence,

the force that must be applied by the driver to release the clutch is 21 lb

MIDDLE SCHOOL

8. 2x2 + 3x when x = 3

Answer:

27

Step-by-step explanation:

Substitute x = 3 into the expression

2(3)² + 3(3) = 2(9) + 9 = 18 + 9 = 27

Answer:

13

Step-by-step explanation:

2×2=4+3(3)=4+9=13