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Yuri [45]
3 years ago
14

Right answer will be marked brainlist!!

Mathematics
1 answer:
Eduardwww [97]3 years ago
3 0

Answer:

translation (-6,5)

Step-by-step explanation:

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You are making several purchases from the I.B. Electric electronics store. You can buy from this store online or in a physical s
hammer [34]

Answer:

Online store will save the most money

Step-by-step explanation:

<u>Amount used in Physical store</u>

Batteries    2packs      @$5.99     cost = $5.99*2=$11.98

Stereo        1 system     @$100      cost = $100*1=$100

CDs             3 CDs        @$7.95     cost = $ 23.85

Total cost= $11.98+$100+$23.85= $135.83

Applying the 10% off coupon = 90/100 * $135.83 =<u>$ 122.25</u>

Applying sale tax 5% = 105/100 * 122.25=<u>$128.36</u>

Amount  to spend when using physical store= $128.36

<u>Now</u><u> </u><u>calculate for the online store</u>

Batteries     2packs     @$4.99       cost= $4.99*2=$ 9.98

Stereo         1 system    @$90         cost= $ 90 *1= $90

CDs              3  CDs      @$8.95       cost = $8.95*3=$26.85

Total cost=$9.98+$90+$26.85=$126.83

Applying the 5% off coupon= 95/100*126.83=$120.49

Applying the sale tax, $6.99+$120.49=$127.48

Comparing the two ways,

Physical store= $128.36

Online store=$127.48

Online store will save the most money by ($128.36-$127.48)=<u>0.88</u>

8 0
3 years ago
Find the absolute maximum and absolute minimum values of f on the given interval. f(t) = 2 cos(t) + sin(2t),[0, π/2].
castortr0y [4]

Answer:

The absolute maximum is \frac{3\sqrt 3}2 and the absolute minimum value is 0.

Step-by-step explanation:

Differentiate of f both sides w.r.t.  t,

f(t)=2 \cos t+\sin 2t

\Rightarrow f'(t)=-2\sin t+2\cos 2t

Now take f'(t)=0

\Rightarrow -2\sin t+2\cos 2t=0

\Rightarrow 2\cos 2t=2\sin t

\Rightarrow \cos 2t=\sin t

\Rightarrow 1-2\sin ^2t =\sin t  \quad \quad  [\because \cos 2t = 1-2\sin ^2t]

\Rightarrow 2\sin ^2t+\sin t-1=0

\Rightarrow 2\sin ^2t+2\sin t-\sin t-1=0

\Rightarrow 2\sin t(\sin t+1)-1(\sin t+1)=0

\Rightarrow (\sin t+1)(2\sin t-1)=0

\Rightarrow \sin t+1=0  \;\text{and}\; 2\sin t-1=0

\Rightarrow \sin t =-1  \;\text{and}\;   \sin t =\frac 12

In the interval 0\leq t\leq \frac {\pi}2, the answer to this problem is \frac {\pi}6

Now find the second derivative of f(t) w.r.t.   t,

f''(t)=-2\cos t-4\sin 2t

\Rightarrow \left[f''(t)\right]_{t=\frac {\pi}6}=-2\times \frac {\sqrt 3}2-4\times \frac{\sqrt 3}2=-3\sqrt 3

Thus, f(t) is maximum at t=\frac {\pi}6 and minimum at t=0

\left[f(t)\right]_{t=\frac {\pi}6}=2\times \frac {\sqrt 3}2+\frac{\sqrt 3}2=\frac{3\sqrt 3}2\;\text{and}\;\left[f(t)\right]_{t=\frac{\pi}2}= 2\times 0+0=0

Hence, the absolute maximum is \frac{3\sqrt 3}2 and the absolute minimum value is 0.

7 0
3 years ago
Tenths is a written fraction form
Sonbull [250]

Answer:

1/10

Step-by-step explanation:

Ex.) 10%=10/100=1/10=0.1

Hope this explains it.

7 0
3 years ago
What is the surface area?
Sindrei [870]

Answer:

cube rectemgular prism surface area calculator

6 0
4 years ago
The map shows the location of the houses of Dan, Joe, Lee, and Roy:
Masteriza [31]
No one can the community center is already there and none of the houses are at a 5 y or 5 x so none the community center hope this helps
8 0
3 years ago
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