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Nastasia [14]
3 years ago
14

for his phone service carlos pays a monthly fee of $19 and he pays an additional $0.07 per minute of use the lease has been char

ging a month is $97.75 what are the possible numbers of minutes he has used his phone in a month?
Mathematics
1 answer:
Lostsunrise [7]3 years ago
4 0

first you should try to find the closest multiple of 19 which you should multiply 19 by 5 and get 95. then subtract 97.75-95 which equals 2.75.  2.75 then needs to be divided by the cost per extra minute 0.07 so 2.75 divided by .07 which gets you 39. 39 minutes

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The length of a rectangle is five times its width.
kykrilka [37]

Answer:

w=10

L=50

Step-by-step explanation:

<h2><em>Length=5w</em></h2><h2><em>Width=W</em></h2>

6w=60

----   ----

6       6

w=10

5(10)=50

L=50

Also can you make me the top answer?

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3 years ago
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The first one is 6 1/6 feet
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4 employees drive to work in the same car. the workers claim they were late to work because of a flat tire. their managers ask t
Brums [2.3K]

Answer:

The required probability is 0.015625.

Step-by-step explanation:

Consider the provided information.

There number of tires are 4.

The number of workers are 4.

The probability that individual select front drivers side tire = \frac{1}{4}

The probability that they all select front drivers side,tire is: \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}=\frac{1}{256}

Similarly,

The probability that they all select front passenger side, tire is: \frac{1}{256}

The probability that they all select rear driver side,tire is: \frac{1}{256}

The probability that they all select rear passenger side, tire is: \frac{1}{256}

Hence, the probability that all four workers select the same​ tire = \frac{1}{256}+ \frac{1}{256}+\frac{1}{256}+\frac{1}{256}

the probability that all four workers select the same​ tire = \frac{4}{256}=\frac{1}{64}=0.015625

Hence, the required probability is 0.015625.

5 0
3 years ago
CALCULUS - Find the values of in the interval (0,2pi) where the tangent line to the graph of y = sinxcosx is
Rufina [12.5K]

Answer:

\{\frac{\pi}{4}, \frac{3\pi}{4},\frac{5\pi}{4},\frac{7\pi}{4}\}

Step-by-step explanation:

We want to find the values between the interval (0, 2π) where the tangent line to the graph of y=sin(x)cos(x) is horizontal.

Since the tangent line is horizontal, this means that our derivative at those points are 0.

So, first, let's find the derivative of our function.

y=\sin(x)\cos(x)

Take the derivative of both sides with respect to x:

\frac{d}{dx}[y]=\frac{d}{dx}[\sin(x)\cos(x)]

We need to use the product rule:

(uv)'=u'v+uv'

So, differentiate:

y'=\frac{d}{dx}[\sin(x)]\cos(x)+\sin(x)\frac{d}{dx}[\cos(x)]

Evaluate:

y'=(\cos(x))(\cos(x))+\sin(x)(-\sin(x))

Simplify:

y'=\cos^2(x)-\sin^2(x)

Since our tangent line is horizontal, the slope is 0. So, substitute 0 for y':

0=\cos^2(x)-\sin^2(x)

Now, let's solve for x. First, we can use the difference of two squares to obtain:

0=(\cos(x)-\sin(x))(\cos(x)+\sin(x))

Zero Product Property:

0=\cos(x)-\sin(x)\text{ or } 0=\cos(x)+\sin(x)

Solve for each case.

Case 1:

0=\cos(x)-\sin(x)

Add sin(x) to both sides:

\cos(x)=\sin(x)

To solve this, we can use the unit circle.

Recall at what points cosine equals sine.

This only happens twice: at π/4 (45°) and at 5π/4 (225°).

At both of these points, both cosine and sine equals √2/2 and -√2/2.

And between the intervals 0 and 2π, these are the only two times that happens.

Case II:

We have:

0=\cos(x)+\sin(x)

Subtract sine from both sides:

\cos(x)=-\sin(x)

Again, we can use the unit circle. Recall when cosine is the opposite of sine.

Like the previous one, this also happens at the 45°. However, this times, it happens at 3π/4 and 7π/4.

At 3π/4, cosine is -√2/2, and sine is √2/2. If we divide by a negative, we will see that cos(x)=-sin(x).

At 7π/4, cosine is √2/2, and sine is -√2/2, thus making our equation true.

Therefore, our solution set is:

\{\frac{\pi}{4}, \frac{3\pi}{4},\frac{5\pi}{4},\frac{7\pi}{4}\}

And we're done!

Edit: Small Mistake :)

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Nataly [62]
The answer and equation is 17 - 19 = -2
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3 years ago
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