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2 years ago

Can you guys help please?

Mathematics

1 answer:

Vadim26 [7]2 years ago

5 0

Answer:

25%

Step-by-step explanation:

There are 3 shaded and there are 12 in all, 3 is 25% of 12

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Problem 3.2.14a<br><br> Show that 2^2x+1 +1 is divisible by 3.

elena-s [515]

Answer:

The given expression is divisible by 3 for all natural values of x.

Step-by-step explanation:

The given expression is

$2^{2x+1}+1$

For x=1,

$2^{2(1)+1}+1=2^{3}+18+1=9$

9 is divisible by 3. So, the given statement is true for x=1.

Assumed that the given statement is true for n=k.

$2^{2k+1}+1$

This expression is divisible by 3. So,

$2^{2k+1}+1=3n$ .... (1)

For x=k+1

$2^{2(k+1)+1}+1$

$2^{2k+2+1}+1$

$2^{(2k+1)+2}+1$

$2^{2k+1}2^2+1$

Using equation (1), we get

$(3n-1)2^2+1$

$(3n)2^2-2^2+1$

$(3n)2^2-4+1$

$(3n)4-3$

$3(4n-1)$

This expression is also divisible by 3.

Therefore the given expression is divisible by 3 for all natural values of x.

4 0

3 years ago

Diane has a rectangular poster. The poster is 1.8 meters long and 1.25 meters wide. What is the area of the poster in square cen

TiliK225 [7]

First you multiply 1.8m by 1.25m= 2.25m
Second you multiply 2.25 by 100 b/c 100cm in a meter= 225cm

answer:
225cm squared

4 0

2 years ago

Read 2 more answers

sally is on a scavenger hunt. a clue tells her to walk 100 steps due south from the starting point and then walk west when she g

Sophie [7]

Answer:

She should take 112 steps west

Step-by-step explanation:

* Lets explain the relation between the four directions

- North and South on the same line by in opposite directions

- East and West on the same line by in opposite directions

- East and West are perpendicular to the North and South

* Now lets study the situation i the problem

- Sally 100 steps due to South from the starting point

- Then she walk West when she gets the next clue

- The distance between her starting point and ending point is 150 steps

∵ The South is perpendicular to the West

- Lets consider her trip is a right angle triangle ABC, where AB

her steps South and BC her steps West and AC the distance

between her starting point and ending point

∵ AB = 100

∵ AC = 150

∵ m∠B = 90°

- By using Pythagoras theorem

∵ BC = √(AC² - AB²)

∴ BC = √(150² - 100²) = 50√5 = 111.8 steps

* She should take 112 steps west

8 0

2 years ago

Pls answer this now pls i beg u i need to past it on school :) thank you so much

ELEN [110]

Answer: 13.85kg Hope this helps, please consider making me Brainliest.

Step-by-step explanation:

Let's add! 7 1/4 + 6 3/5 = 7.25 + 6.6

7 + 6 + .25 + .6 = 13 + .85 =

13.85

8 0

1 year ago

Read 2 more answers

Which decimal is between 6.4 and 6.6? A.) 6.04 , B.) 6.44 , C.) 6.60 , or D.) 6.06

m_a_m_a [10]

B 6.44 because 6.4 is equal to 6.40 and in between 6.40 and 6.60 there is 6.44.

4 0

3 years ago