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2 years ago

What applies the power of a product rule to simplify (5t)^3

Mathematics

1 answer:

Bogdan [553]2 years ago

7 0

You need to put in this power every factor of a product.
(5t)³=5³*t³=125t³

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Sinx + cosx= 1 then find the value of x

Kobotan [32]

$1√2sinx+1√2cosx=1√2.

This can be written as

cos(x−π4)=cos(π4)

The general solution of this equation ls

x−.π4=2nπ±π4,n=0,±1,±2,...,

So, x=2nπandx=(4n+1)π2,n=0,±1,±2,±3....

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2 years ago

X + x(x + y) + y; use x = 4, and y = 1

leva [86]

$\huge\text{Hey there!}$

$\huge\text{x + x(x + y) + y}$

$\huge\text{= 4 + 4(4 + 1) + 1}$

$\huge\text{= 4 + 4(5) + 1}$

$\huge\text{= 4 + 20 + 1}$

$\huge\text{= 24 + 1}$

$\huge\text{= 25}$

$\huge\boxed{\textsf{Therefore, your answer is: 25}}\huge\checkmark$

$\huge\text{Good luck on your assignment \& enjoy your day!}$

~ $\huge\boxed{\frak{Amphitrite1040:)}}$

5 0

2 years ago

Read 2 more answers

Island A is 150 miles from Island B. A ship captain travels 310 miles from Island A and then finds that he is off course and 200

wolverine [178]

Answer:

156.37°

Step-by-step explanation:

We solve this above question, using Cosine rule which is given as:

Cos C = a² + b² - c²/2ab

Let the Angle be represented as: x

Cos x = 310² + 200² - 150²/2 × 310 × 200

x = arc cos [ 310² + 200² - 150²/2 × 310 × 200]

x = 23.63°

The angle, in degrees, that he must turn through to head straight for Island B is given as:

180° - 23.63°

= 156.37°

4 0

2 years ago

If As income is 20% more than Bs income, how much percent is Bs income less than As income

vitfil [10]

$As\ is\ 120\%\ Bs\\\\120\%=1.2\to\frac{As}{Bs}=1.2\\\\\frac{As}{Bs}=\frac{12}{10}\to\frac{Bs}{As}=\frac{10}{12}\to\frac{Bs}{As}=\frac{5}{6}\\\\\frac{5}{6}\cdot100\%=\frac{500}{6}\%=83\frac{1}{3}\%\\\\100\%-83\frac{1}{3}\%=16\frac{2}{3}\%\\\\Answer:Bs\ income\ is\ 16\frac{2}{3}\%\ less\ than\ As\ income.$

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2 years ago

ohan found that the equation –2|8 – x| – 6 = –12 had two possible solutions: x = 5 and x = –11. which explains whether his solut

klio [65]

-2 | 8-x| - 6 = -12...add 6 to both sides
-2 |8-x| = -12 + 6
-2 |8-x| = - 6...divide both sides by -2
|8-x| = -6/-2
|8-x| = 3

8 - x = -3 -(8 - x) = -3
-x = -3-8 -8 + x = -3
-x = -11 x = -3 + 8
x = 11 x = 5

not correct.....sign error

5 0

3 years ago