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1 year ago

11

Combine like terms to create an equivalent expression.

1 answer:

Lelu [443]1 year ago

5 0

Answer:

$\frac{1}{6}$ p - $\frac{4}{5}$

Step-by-step explanation:

collect like terms

- $\frac{2}{3}$ p + $\frac{5}{6}$ p + $\frac{1}{5}$ - 1

= - $\frac{2(2)}{2(3)}$ p + $\frac{5}{6}$ p + $\frac{1}{5}$ - $\frac{5}{5}$

= - $\frac{4}{6}$ p + $\frac{5}{6}$ p - $\frac{4}{5}$

= $\frac{1}{6}$ p - $\frac{4}{5}$

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Hey there!<br><br> Can you help me please ? Thanks!

Vinil7 [7]

A. (140x110)+[(50x70)/2] = 15,400+1750= 17,150cm^2

b. (4x6)/2= 12cm^2

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3 years ago

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Simplify sin θ / square root 1 - sin^2 θ

Soloha48 [4]

Recall that

$\cos^2\theta+\sin^2\theta=1$

which means

$\dfrac{\sin\theta}{\sqrt{1-\sin^2\theta}}=\dfrac{\sin\theta}{\sqrt{\cos^2\theta}}$

Now, $\cos\theta$ could be positive or negative, which means $\sqrt{\cos^2\theta}=|\cos\theta|$ . If we specifically knew the sign of $\cos\theta$ was positive, then we can simplify and write

$\dfrac{\sin\theta}{\sqrt{1-\sin^2\theta}}=\dfrac{\sin\theta}{\cos\theta}=\tan\theta$

or if it's negative,

$\dfrac{\sin\theta}{\sqrt{1-\sin^2\theta}}=\dfrac{\sin\theta}{-\cos\theta}=-\tan\theta$

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3 years ago

In one month, a farm produces 1200 pounds of potatoes. In the following month,

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1200=100%

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1200×115%\100%

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2 years ago

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Orlov [11]

Answer:

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Step-by-step explanation:

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3 years ago

A model rocket is launched straight upward. The path of the rocket is modeled by h = -16t2 + 200t, where h represents the height

iren [92.7K]

Answer:

a) 625

b) Yes

c) No

Step-by-step explanation:

a)To calculate the maximum height we can use the derivative to find the slope of the function.

$dh/dt=-32t+200$

To find the slope we make the equation equal to 0:

$-32t+200=0$

$t=200/32$

The slope at 0 is t=200/32=6.25[/tex]

The maximum height at t=6.25 is

$h=-16(6.25^2)+200(6.25)=625$

The maximum height is 625

b) at t=8

$-16(8^2)+200(8)=576$

The height will be 576 which is less than 625

The two x-intercepts are when h=0:

c)

$-16(14^2)+200(14)=-336$

$-16t^2+200t=0$

$-2t^2+25t=0$

$t(-2t+25)=0$

$t=0$

$t=12.5$

The ball is not in the air because the ball will only be in the air from t=0 to t=12.5

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3 years ago