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3 years ago

14

What is the next number in the pattern? 0.04, 0.2, 1, 5, ,

2 answers:

zvonat [6]3 years ago

6 0

25, 125. You multiply by 5 to get you're next number.

Hope this helps, and please mark brainliest!

eduard3 years ago

3 0

The pattern above follows a geometric progression. Each number in the sequence is a multiple of the other. This is evident because:

0.2 ÷ 0.04 = 5
1 ÷ 0.2 = 5
5 ÷ 1 = 5

∴ this is evidence that the each number in the series is 5 times that of the number that precedes it. Based on this confirmation then the other two numbers in the sequence are ( 5 × 5) and (5 × 5 × 5).

Thus the completed series looks like 0.04, 0.2, 1, 5, 25, 125

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2) Line segment MK has endpoints at (2, 3) and (5, ?4). Segment M'K' is the reflection of MK over the y-axis. Which statement de

Marianna [84]

Answer:

Option C -M'K' is the same length as MK

Step-by-step explanation:

Given : Line segment MK has endpoints at (2, 3) and (5,4)

M'K' is the reflection of MK over the y-axis

By definition of reflection: reflection of point (x,y) across the the y-axis is the point (-x,y)

which implies M'K' has end points (-2,3) and (-5,4)

Now, we find the length of MK

let $(x_1,y_1)=(2,3)\\\\(x_2,y_2)=(5,4)$

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

⇒ $d=\sqrt{(2-5)^2+(4-3)^2}$

⇒ $d=\sqrt{9+1}$

⇒ $d=\sqrt{10}$ ....(1)

Now, we find the length of M'K'

let $(x_1^{'},y_1^{'})=(-2,3)\\\\(x_2^{'},y_2^{'})=(-5,4)$

$d^{'}=\sqrt{(x_2^{'}-x_1^{'})^2+(y_2^{'}-y_1^{'})^2}$

⇒ $d^{'}=\sqrt{(-2+5)^2+(3-4)^2}$

⇒ $d^{'}=\sqrt{9+1}$

⇒ $d^{'}=\sqrt{10}$ .....(2)

from (1) and (2) we simply show that the length of MK and M'K' is equal

we can also refer the figure attached for reflection of MK and M'K'

therefore, Option C is correct

3 0

4 years ago

Read 2 more answers

Please help and explain it’s due within this hour!!!

prohojiy [21]

Answer:

301.44

Step-by-step explanation:

Equation for the volume of a cone: V = π $r^{2}$ $\frac{h}{3}$

Here, r = 6 and h = 8.

V = π $r^{2}$ $\frac{h}{3}$

V = 3.14 * $6^{2}$ * $\frac{8}{3}$

V = 3.14 * 36 * $\frac{8}{3}$

V = 301.44

Or, in exact terms of π, 96π.

8 0

3 years ago

Read 2 more answers

Determine whether the lines are parallel, intersect, or coincide. y-7x=6, y+7x=8

NikAS [45]

The slope for the first problem given is -7

The slope for the second problem is 7

As these are the same slope and not opposite reciprocals, <u>the lines are neither parallel or perpendicular</u>.

This means that the lines will cross at a point at some point in the graph, meaning that your answer would be that the lines intersect.

3 0

3 years ago

Which of the following best describes the change in the mean when 1213 is

borishaifa [10]

Answer:

Given in the information set as

26, 34, 38, 49, 65, 76, 81

Sum = 369

No of entries = 7

Mean =52.71

When 1213 is included

New sum = 1582

No of entries =8

The new mean will be 197.75

Thus mean will be increased by 145.04

3 0

3 years ago

Create an equation for the following:

masya89 [10]

Answer:

y = 3(4x)

y = 400(3/4x)

y = 14(4x)

3 0

3 years ago