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3 years ago

10

Jenny predicted that she would sell 12 bracelets, but she actually sold 16 bracelets. Which expression would find the percent er

ror? Use the table below to help answer the question

1 answer:

lawyer [7]3 years ago

7 0

Answer:

Start Fraction 4 over 16 End Fraction (100)

Step-by-step explanation:

Your Welcome;)

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A box with no top is to be constructed from a piece of cardboard whose length measures 88 in. more than its width. the box is to

MariettaO [177]

Let x be the width of the cardboard (which means the length of the cardboard is x+88), then the dimensions of the box are:

Length = [(x + 88) - 2(33)]

Width = x - 2(33)

Heighth = 33

Volume = length · width · heighth

144,144 = [(x + 88) - 2(33)] · [x - 2(33)] · 33

144,144 = (x+22)(x-66)(33)

4368 = (x+22)(x-66)

4368 = x² - 44x - 1452

0 = x² - 44x - 5820

use the quadratic formula to calculate that x = 101

Answer: cardboard width = 101, cardboard length = 189

4 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 :)

5 0

2 years ago

HELP MEEE PLSSSS PLSSS

RideAnS [48]

Answer:

b

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Hurry!!!Between which two values would 75% of the data represented on a box plot lie? Check all that apply.

sp2606 [1]

the answers are <span>the lower quartile and the maximum and The minimum and the upper quartile.</span>

4 0

3 years ago

Read 2 more answers

Which ordered pairs are solutions to the inequality y - 3x < -8?

7nadin3 [17]

Answer:

Option B,C and E are solution to given inequality $y - 3x < -8$

Step-by-step explanation:

We need to check which ordered pairs from given options satisfy the inequality $y - 3x < -8$

Ordered pairs are solutions to inequality if they satisfy the inequality

Checking each options by pitting values of x and y in given inequality

A ) (1, -5)

$-5-3(1)$

So, this ordered pair is not the solution of inequality as it doesn't satisfy the inequality.

B) (-3, - 2)

$-2-3(-3) < -8\\-2-9$

So, this ordered pair is solution of inequality as it satisfies the inequality.

C) (0, -9)

$-9-3(0)$

So, this ordered pair is solution of inequality as it satisfies the inequality.

D) (2, -1)

$-1-3(2)$

So, this ordered pair is not the solution of inequality as it doesn't satisfy the inequality.

E) (5, 4)

$4-3(5)$

So, this ordered pair is solution of inequality as it satisfies the inequality.

So, Option B,C and E are solution to given inequality $y - 3x < -8$

6 0

2 years ago