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2 years ago

12

From the ten books that you've recently bought but not read, you plan to take four with you on vacation. How many different sets

of four books can you take

1 answer:

Temka [501]2 years ago

5 0

Answer:

Step-by-step explanation:

2 sets of books

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michelle lives with 2 brothers, 3 sisters, her mother, and her father. including Mitchell, 3/4 of her family likes to go swimmin

ruslelena [56]

Michelle(1)+bros(2)+sisters(3)+mom(1)+Pop(1)=8
3/4 of 8 = 6
So, 6 people in Michelle's family like to go swimming

8 0

2 years ago

Read 2 more answers

Slope = 1; y-intercept = -4<br><br><br> Write the linear equation in slope intercept form

krek1111 [17]

Answer:

y = x - 4

General Formulas and Concepts:

<u>Algebra I</u>

Slope-Intercept Form: y = mx + b

m - slope
b - y-intercept

Step-by-step explanation:

<u>Step 1: Define</u>

Slope <em>m</em> = 1

y-intercept <em>b</em> = -4

<u>Step 2: Write function</u>

y = x - 4

3 0

2 years ago

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

2 years ago

Which plant is nonvascular? <br> I didn't see an option for science so I chose math :^

vladimir1956 [14]

Answer:

#4

These are the nonvascular plants or bryophytes (mosses, liverworts, and hornworts), the seedless vascular plants (clubmosses and ferns including, horsetails, club mosses, and whisk ferns), gymnosperms (conifers, cycads, Ginkgo, and gnetophytes), and angiosperms, or flowering plants.

4 0

1 year ago

Victoria jogged a total distance of miles during the months of June and July. If Victoria only jogged mile every day, which expr

Kobotan [32]

I think it would be A, because if she jogged the same amount each day she jogged then all you need to do is multiply how much she jogged by how many days she jogged.

7 0

3 years ago