MATHEMATICS HIGH SCHOOL

Order from least to greatest 1/8, 7/8, 4/8

Answers

Answer 1

Answer:
first 1/8 then 4/8 and lastly 7/8

Answer 2

Answer:

Answer:

1/8 = 0.125

7/8 = 0.875

4/8 = 0.5

The order from least to greatest is :

1/8, 4/8, 7/8

Step-by-step explanation:

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Relative minimum: the point on the graph where the interval changes from A. Increasing B. Decreasing C. Input D. Output

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

For every 3.3 km rock is buried, the pressure placed upon it increased 0.1 gigapascals. If rock undergoing metamorphosis is buried at 16 km what is the pressure placed on that rock?

Answers

For every 3.3 km rock is buried, the pressure placed upon it increased 0.1 Giga pascals.

We need to find the pressure placed on that rock at 16 km.

Let us divide 16 km by 3.3 first to find the number of 0.1 Giga pascals would be there.

16/3.3.

On dividing 16 by 3.3, we get 4.8485.

In order to find the number the pressure placed on that rock, we need to multiply 0.1 by 4.8485, we get

0.48485 Giga pascals.

Therefore, if rock undergoing metamorphosis is buried at 16 km, 0.48485 Giga pascals is the pressure placed on that rock.

Consider the following sequence: 87; 84; 81... Find an expression for term n of the sequence

Answers

Answer:

$a_(n)$ = 90 - 3n

Step-by-step explanation:

There is a common difference between consecutive terms, that is

84 - 87 = 81 - 84 = - 3

This indicates the sequence is arithmetic with nth term

$a_(n)$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 87 and d = - 3 , then

$a_(n)$ = 87 - 3(n - 1) = 87 - 3n + 3 = 90 - 3n

A cylinder has a base diameter of 10cm and a height of 14cm. What is its volume in cubic cm, to the nearest tenths place?

Answers

Volume of any cylinder = π times (radius)² times (height or length)

Radius of your cylinder = 1/2 of the diameter =5 cm

Volume = π (5 cm)² (14 cm) = 350 π cm³ = 1,099.56 cm³ (rounded)

$diameter : \ d = 10cm \nheight : \ h=14 \ cm \n \nr=(d)/(2)=(10)/(2)=5 cm \n \nvolume \ of \ a \ cylinder \ is \ equal \n \nV= \pi r^2h \n \nV= \pi\cdot 5^2 \cdot 14 =3.14\cdot 25 \cdot 14 = 1099.0 \ cm^3 \n \n Answer : \ its \ volume \ is \ 1099 \ cubic \ cm$

What is the equation of a line that passes through the points (3, 6) and (8, 4)?

Answers

Answer:

2x + 5y = 36 in standard form

Step-by-step explanation:

m = $(y_(2) -y_(1) )/(x_(2) -x_(1) )$

y - $y_(1)$ = m( x - $x_(1)$ )

~~~~~

(3, 6)

(8, 4)

m = $-(2)/(5)$

y - 6 = $-(2)/(5)$ ( x - 3 )

y = $-(2)/(5)$ x + $(36)/(5)$ in slope-intercept form

2x + 5y = 36 in standard form

Answer:

Step-by-step explanation:

right on edge 2022

Find the distance between two parallel lines: x = 11 and x = 5.

Answers

$x = 11 ,\ \ \ A(11,0) \n \n x = 5 , \ \ \ B(5,0) \n \n distance \ between \ two \ parallel \ lines \ : \n \n d=\sqrt{(x_(2)-x_(1))^2 + (y_(2)-y_(1))^2}\n \nd=√((5-11)^2+(0-0)^2)=√((-6)^2)=√(36)=6$

$The\ distance:\n\nd=|11-5|=|6|=6$

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