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Lubov Fominskaja [6]
3 years ago
11

Could someone kindly help me with this problem in the picture please?

Mathematics
1 answer:
lora16 [44]3 years ago
6 0
A......................................
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Carlos has $20 to spend on six avocados. After buying them he had $2. Him much did each avocado coast
insens350 [35]

Cost Carlos 3 dollars per avocodo

8 0
4 years ago
Read 2 more answers
For the equation y=5x+4, determine the value of y when x=2​
fiasKO [112]

Answer:

y = 14

Step-by-step explanation:

y = 5x + 4

When x = 2:

y = 5 \times 2 + 4

y = 14

That's it. :)

8 0
2 years ago
PLEASE HELP!!!!!
garri49 [273]
Translated left three (x-3) and down two (y-2) gives you.

(-7,3), (-7, -3), (-4, -1)

So False.
8 0
3 years ago
Sin(x)^4+ cos(x)^4=1/2
posledela
I'll assume that what was meant was \sin ^4 x + \cos ^4 x = \dfrac{1}{2}.

The exponent in the funny place is just an abbreviation:   \sin ^4 x = (\sin x)^4.

I hope that's what you meant. Let me know if I'm wrong.

Let's start from the old saw

\cos^2 x + \sin ^2x = 1

Squaring both sides,

(\cos^2 x + \sin ^2x)^2 = 1^2

\cos^4 x + 2 \cos ^2 x \sin ^2x +\sin ^4x = 1

\cos^4 x + \sin ^4x = 1 - 2 \cos ^2 x \sin ^2x

So now the original question 

\sin ^4 x + \cos ^4 x = \dfrac{1}{2}

becomes
1 - 2 \cos ^2 x \sin ^2x = \dfrac{1}{2}

4 \cos ^2 x \sin ^2x = 1

Now we use the sine double angle formula

\sin 2x = 2 \sin x \cos x

We square it to see

\sin^2 2x = 4\sin^2 x \cos^2 x = 1

Taking the square root,

\sin 2x = \pm 1

Not sure how you want it; we'll do it in degrees. 

When we know the sine of an angle, there's usually two angles on the unit circle that have that sine.  They're supplementary angles which add to 180^\circ.  But when the sine is 1 or -1 like it is here, we're looking at 90^\circ and -90^\circ, which are essentially their own supplements, slightly less messy. 

That means we have two equations:

\sin 2x = 1 = \sin 90^\circ

2x = 90^\circ + 360^\circ k \quad integer k

x = 45^\circ + 180^\circ k

or 


\sin 2x = -1 = \sin -90^\circ

2x = -90^\circ+ 360^\circ k

x = - 45^\circ + 180^\circ k

We can combine those for a final answer,

x = \pm 45^\circ + 180^\circ k \quad integer k

Check.  Let's just check one, how about

x=-45^\circ + 180^\circ = 135^\circ

\sin(135)= 1/\sqrt{2}

\sin ^4(135)=(1/\sqrt{2})^4 = 1/4

\cos ^4(135)=(-1/\sqrt{2})^4 = 1/4

\sin ^4(135^\circ) +\cos ^4(135^\circ) = 1/2 \quad\checkmark


6 0
3 years ago
kelly plans to put her graduation money into an account and leave it there for 4 years while she goes to collge she recieves $75
DedPeter [7]

Answer:

FV=887.3967212 $

Step-by-step explanation:

Use the compound-interest formula:

FV=PV(1+\frac{r}{n}) ^{nt}

Where:

FV=Future value or the ending amount

PV=Present value or the initial amount=750

n=Number of compoundings in any one year=2

t=Total number of years=4

r=interest rate=0.0425

Now, replacing the data in the equation:

FV=750*(1+\frac{0.0425}{2}) ^{2*4} =887.3967212 $

4 0
3 years ago
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