All categories

1 year ago

What is 7(2)^3 in expanded form?

Mathematics

1 answer:

My name is Ann [436]1 year ago

4 0

Answer:

$7 (2)^{3}$ in expanded form is 7

Step-by-step explanation:

Hope this helps! :))

You might be interested in

Cos^2 x+4sin^2 x/2=1

lana [24]

$Let\ \dfrac{x}{2}=a,\ therefore\ x=2a.\\\\\cos^2x+4\sin^2\dfrac{x}{2}=\cos^22a+4\sin^2a\\\\\text{use}\ \cos2x=\sin^2x-\cos^2x\\\\=(\sin^2a-\cos^2a)^2+4\sin^2a\\\\\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\=(\sin^2a)^2-2(\sin^2a)(\cos^2a)+(\cos^2a)^2+4\sin^2a\\\\=\sin^4a-2\sin^2a\cos^2a+\cos^4a+4\sin^2a\\\\=\underbrace{\sin^4a+2\sin^2a\cos^2a+\cos^4a}_{(*)}-4\sin^2a\cos^2a+4\sin^2a\\\\\text{use}\ (*)\qquad(a+b)^2=a^2+2ab+b^2$

$=\underbrace{(\sin^2a)^2+2\sin^2a\cos^2a+(\cos^2a)^2}_{(*)}-4\sin^2a(\cos^2a-1)\\\\=(\sin^2a+\cos^2a)^2-4\sin^2a(\cos^2a-1)\\\\\text{use}\ \sin^2a+\cos^2a=1\to\sin^2a=\cos^2a-1\\\\=1^2-4\sin^2a(\sin^2a)=1-4\sin^4a=1-(2\sin^2a)^2$

$\cos^22a+4\sin^2a=1\\\\1-(2\sin^2a)^2=1\qquad\text{subtract 1 from both sides}\\\\-(2\sin^2a)^2=0\to2\sin^2a=0\qquad\text{divide both sides by 2}\\\\\sin^2a=0\to\sin a=0\\\\a=k\pi\ for\ k\in\mathbb{Z}\\\\\dfrac{x}{2}=k\pi\qquad\text{multiply both sides by 2}\\\\\boxed{x=2k\pi\ for\ k\in\mathbb{Z}}$

6 0

3 years ago

100 milk cartons were put out for breakfast, After breakfast, there were 40 milk cartons left. What is the ratio of milk cartons

Sveta_85 [38]

Answer:

The ratio of milk cartons drunk to total milk cartons put out= 3 : 5

Step-by-step explanation:

Total milk cartons put out for breakfast=100

Milk cartons left after breakfast=40

Total milk cartons drunk during breakfast = Total milk cartons put out for breakfast - Milk cartons left after breakfast

=100 - 40

=60

Total milk cartons drunk during breakfast = 60

What is the ratio of milk cartons drunk to total milk cartons put out?

Total milk cartons drunk during breakfast : Total milk cartons put out for breakfast

= 60 : 100

=3 : 5

The ratio of milk cartons drunk to total milk cartons put out= 3 : 5

8 0

4 years ago

johanna prepares a mixture of salad mixed with mayonnaise carrots cucumber lettuce and cheese. what type of mixture divine salad

Alexxandr [17]

Answer:

johanna prepares a mixture of salad mixed with mayonnaise carrots cucumber lettuce and cheese. what type of mixture divine salad is? why do you think so

5 0

3 years ago

(07.03)

Iteru [2.4K]

Answer:

0 I think

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Henry sends his hawk with a message to his uncle. The hawk flies out against the wind and returns with the wind, spending 3 hour

siniylev [52]