All categories

2 years ago

4.

Mathematics

1 answer:

svp [43]2 years ago

8 0

Answer:

Step-by-step explanation:

If x to the power of 3 is 1 than x is 1, is incorrect, however for b and d what are the powers, without knowing them this statement can not be judged.

You might be interested in

What is 3 1/2 as a quotient of two integers?

allsm [11]

Answer:

7 divided by 2

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Firewood is often sold by the cord. A cord of wood is a bundle measuring 4 feet by 4 feet by 8 feet. What is the volume of a cor

Ivahew [28]

C because you have to multiply the four measures together.

5 0

3 years ago

Read 2 more answers

Solve the equation for all real values of x.<br> cosxtanx - 2 cos x=-1

IceJOKER [234]

Solution to equation $cosxtanx - 2 cos^2 x=-1$ for all real values of x is $x=2k\pi + \frac{\pi}{6} , x=2k\pi + \frac{5\pi}{6}$ .

<u>Step-by-step explanation:</u>

Here we have , $cosxtanx - 2 cos^2 x=-1$ . Let's solve :

⇒ $cosxtanx - 2 cos^2 x=-1$

⇒ $cosx(\frac{sinx}{cosx}) - 2 cos^2 x=-1$

⇒ $sinx = 2 cos^2 x-1$

⇒ $sinx = 2 (1-sin^2x)-1$

⇒ $sinx = 1-2sin^2x$

⇒ $2sin^2x+sinx-1=0$

By quadratic formula :

⇒ $sinx = \frac{-b \pm \sqrt{b^2-4ac} }{2a}$

⇒ $sinx = \frac{-1 \pm \sqrt{1^2-4(2)(-1)} }{2(2)}$

⇒ $sinx = \frac{-1 \pm3}{4}$

⇒ $sinx = \frac{1}{2} , sinx =-1$

⇒ $sinx = sin\frac{\pi}{6} , sinx = sin\frac{3\pi}{2}$

⇒ $x=\frac{\pi}{6} , x=\frac{3\pi}{2}$

But at $x=\frac{3\pi}{2}$ we have equation undefined as $cos\frac{3\pi}{2}=0$ . Hence only solution is :

⇒ $x=\frac{\pi}{6}$

Since , $sin(\pi -x)=sinx$

⇒ $x=\pi -\frac{\pi}{6} = \frac{5\pi}{6}$

Now , General Solution is given by :

⇒ $x=2k\pi + \frac{\pi}{6} , x=2k\pi + \frac{5\pi}{6}$

Therefore , Solution to equation $cosxtanx - 2 cos^2 x=-1$ for all real values of x is $x=2k\pi + \frac{\pi}{6} , x=2k\pi + \frac{5\pi}{6}$ .

3 0

3 years ago

Find the product. y5 · y3

dem82 [27]

Answer:

Step-by-step explanation:

$y^5*y^3=y^{5+3}=y^8$

5 0

3 years ago

Tommy can ride his bicycle 4.5 miles in 15 minutes. How many miles can he ride in 75 minutes

adoni [48]

Here, we need to set up a proportion.

4.5 miles in 15 minutes.

In 75 minutes, how much miles can he ride?

4.5/15 = x/75

Cross multiply

4.5 * 75 = 337.5
15*x = 15x

15x = 337.5

15x/15 = 337.5/15
x= 22.5

Final answer:- Tommy can ride 22.5 miles in 75 minutes.

5 0

3 years ago

Read 2 more answers