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Montano1993 [528]
3 years ago
14

Help thank u!

Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
5 0

Answer:

133

Step-by-step explanation:

$3500 - $1500 = $2000

2000/1500 ×100

=1.33 × 100

=133%

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Is the graph of y = sin(x^4) increasing or decreasing when x = 10? Is it concave up or concave down?
Tanzania [10]
y=\sin(x^4)
\implies y'=4x^3\cos(x^4)
\implies y'=12x^2\cos(x^4)-16x^6\sin(x^4)

At x=10, you have

y'(10)=4000\cos(10^4)

The trick to finding out the sign of this is to figure out between which multiples of \dfrac\pi2 the value of 10^4 lies.

We know that \cos x>0 whenever -\dfrac\pi2+2n\pi, and that \cos x whenever \dfrac\pi2+2n\pi, where n\in\mathbb Z.

We have

10^4=\dfrac{k\pi}2\implies k=\dfrac{2\times10^4}\pi\approx6366.2

which is to say that \dfrac{6366\pi}2, an interval that is equivalent modulo 2\pi to the interval \left(\pi,\dfrac{3\pi}2\right).

So what we know is that 10^4 corresponds to the measure of an angle that lies in the third quadrant, where both cosine and sine are negative.

This means y'(10), so y is decreasing when x=10.

Now, the second derivative has the value

y'=12\times10^2\cos(10^4)-16\times10^6\sin(10^4)

Both \cos(10^4) and \sin(10^4) are negative, so we're essentially computing the sum of a negative number and a positive number. Given that \sin x>\cos x for \pi, and \cos x>\sin x for \dfrac{5\pi}4, we can use a similar argument to establish in which half of the third quadrant the angle 10^4 lies. You'll find that the sine term is much larger, so that the second derivative is positive, which means y is concave up when x=10.
5 0
3 years ago
The shape of Nevada can almost be
yuradex [85]

Answer:

110,567 mi²

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
What does it mean for two ratios to form a proportion
Triss [41]
Ratio = 4 or 4/1 

4/10 = x/80

so 4x times (10 times 80)
  
=  

4x=800
divide both sides with 4 

x=200

3 0
3 years ago
If 4% of packages get lost in the mail, then how many packages will get lost if 3.000 packages are shipped?​
xxTIMURxx [149]

Answer:

250 packages if 3,000 packages are shipped

8 0
3 years ago
In the figure, what is the ratio of the area of square KLMN to the area of LOK?
m_a_m_a [10]

the ratio of the area of square KLMN to the area of LOK is 2a^2/b h

<h3>How to determine the ratio</h3>

From the image given, we can deduce the following;

  • KLMN is a square
  • LOK is a triangle

The formula for area of a square is

Area = a^2

Where, 'a' is the side

The formula for area of a triangle

Area = 1/ 2 base × height

Now, let's find the ratio

Ratio = area of KLMN/ area of LOK

Ratio = \frac{a^2}{\frac{1}{2} bh}

Ratio = \frac{a^2}{\frac{bh}{2} }

make the expression linear

Ratio = 2a^2/bh

The ratio of  the area of square KLMN to the area of LOK is 2a^2/bh

Thus, the ratio of the area of square KLMN to the area of LOK is 2a^2/b h

Learn more about area here:

brainly.com/question/25260313

#SPJ1

8 0
2 years ago
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