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Goryan [66]
3 years ago
12

While working at the drugstore, Grace earns $9.83 per hours. How many hours will it take grace to earn $49.15?

Mathematics
1 answer:
RoseWind [281]3 years ago
7 0

Answer:

5

Step-by-step explanation:

all you have to do is divide 49.15 by 9.83.

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Find the dy/dx<br><br>y= sin²x/cos²x​
sasho [114]

Answer:

d y dx=0

Explanation:

From the given

y=sin2x+cos2x

The right side of the equation is

=1

y=1

d y d x=d d x(1)=0

or we can do it this way.

y = sin2x+cos2x

d y d x=2

⋅(sinx)2−1

⋅

d d x(sinx)+2

(cosx)2−1 d d x(cosx)

d y d x=2⋅

sinx⋅cosx+2⋅cosx⋅(−sinx)

dydx=2⋅sinx⋅cosx−2⋅sinx⋅cosx

dydx=0

God bless....I hope the explanation is useful.

6 0
2 years ago
Which function has a vertex at the origin?
aksik [14]

Answer:

f(x)=-x2

Step-by-step explanation:

I believe the first one has a vertex at (-4, 0), the second at (4, 0), the third at (4, -4). The only remaining answer is the last one.

8 0
3 years ago
Read 2 more answers
Use DeMoivre's Theorem to find the following. Write your answer in<br> standard form.
valina [46]

Answer:

Option C.

Step-by-step explanation:

The given expression is

\left(\sqrt{2}cis \dfrac{9\pi}{20}\right)^5

It can be rewritten as

\left(\sqrt{2}\cos \dfrac{9\pi}{20}+i\sin\dfrac{9\pi}{20}\right)^5

According to De moivre's Theorem:

[r(\cos\theta+i\sin \theta)]^n=r^n(\cos n\theta +i\sin n\theta)

Using De moivre's Theorem, we get

(\sqrt{2})^5\left(\cos \dfrac{9\pi\times 5}{20}+i\sin\dfrac{9\pi\times 5}{20}\right)

=4\sqrt{2}\left(\cos \dfrac{9\pi}{4}+i\sin\dfrac{9\pi}{4}\right)

=4\sqrt{2}\left(\cos (2\pi +\dfrac{\pi}{4})+i\sin (2\pi+\dfrac{\pi}{4})\right)

=4\sqrt{2}\left(\cos \dfrac{\pi}{4}+i\sin \dfrac{\pi}{4}\right)

=4\sqrt{2}\left(\dfrac{1}{\sqrt{2}}+i\dfrac{1}{\sqrt{2}}\right)

=4+4i

Therefore, the correct option is C.

5 0
3 years ago
Please help....What is a problem that makes sense for this question? ASAP!!
ddd [48]

Explanation:

250 can be used as a total, with 10 being how much something subtracted multiple times takes away, and 20 being the end result. So, we could make the problem about a lot of things, but I'll go ahead and write the first one that comes to mind.

Answer:

Arata has $250 in his bank account, and plans on buying several CDs. Each one costs $10, and by the end of the trip, there is only $20 left in his account. How many CDs did Arata buy, assuming there was no tax or other additional charges?

7 0
4 years ago
Lake County’s smallest forest preserve is 472 acres. Orange County’s smallest preserve is 482 acres. Find the ratio of the acrea
photoshop1234 [79]

Answer:

Ratio is 236 : 241

Step-by-step explanation:

Lake County’s smallest forest preserve is 472 acres. Orange County’s smallest preserve is 482 acres

Lake County’s smallest forest = 472

Orange County’s smallest = 482

To find ratio we make a fraction

Ratio = Lake County’s  forest / Orange County’s forest

= \frac{472}{482}

Now simplify the fraction

divide top and bottom by 2

\frac{236}{241}

Ratio is 236 : 241

6 0
3 years ago
Read 2 more answers
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