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jeka57 [31]
4 years ago
9

If 5+20*2^(2-3x)=10*2^(-2x)+5, what is the value of x? a –3 b –2 c 2 d 3

Mathematics
2 answers:
Sergeu [11.5K]4 years ago
6 0
Step 1: get rid of the +5 on both sides.
Step 2: divide by 10 on both sides

Then you have: 2*2^(2-3x) = 2^(-2x)

The factor 2 on the left can be brought into the exponent because you're simply multiplying with 2 more...

2^(1+2-3x) = 2^(-2x)

Now you can equate the exponents:

3-3x = -2x => 3 = -2x+3x => x=3

so d is your answer.
RUDIKE [14]4 years ago
3 0

Answer: 3

ya welcome

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How much salt is in a mixture containing 10 gal of an 11% salt solution and 6 gal of a 7% salt solution
Helga [31]
In a 10 gal of an 11% salt solution, 

11% of 10 gal are sal.

11% *10 gal=(11/100)*10 gal =0.11*10 gal = 0.1 gal is salt.

Similarly, 0.07*6 gal= 0.42 gal is salt of the 6 gal in the second solution.



The mixture is 10 gal +6 gal = 16 gal, and contains a total of

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0.52 = x% of 16

0.52=x%*16

x=(0.52/16)*100=0.0325*100=3.25


Answer: there is 0.52 gal of salt in the mixture, that is 3.25%
4 0
3 years ago
Please help me on this one its the last one!
MA_775_DIABLO [31]

Answer:

9 cm

Step-by-step explanation:

Given that angle Y = 90 means that the triangle is a right angle triangle

If angle X = 30 degrees and xz =18 cm

xz is the hypotenuse side while zy is the opposite side considering the angle at X

Hence using the notation SOH CAH TOA

SOH

Sin X = zy/xz

Substituting

Sin 30 = zy/18

cross multiply

zy = 18 sin 30

zy = 18 * 0.5

= 9 cm

7 0
3 years ago
Read 2 more answers
Find the measure of Angle R to the nearest tenth.
Naily [24]

Answer:

The correct option is c.

Step-by-step explanation:

From the given figure it is noticed that the triangle PQR is a right angle triangle.

In a right angle triangle,

\sin\theta=\frac{perpendicular}{hypotenuse}

In triangle PQR,

\sin R=\frac{PQ}{QR}

\sin R=\frac{37}{58}

R=\sin^{-1}(\frac{37}{58})

R=39.6377144^{\circ}

R\approx 39.6^{\circ}

Therefore option c is correct.

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4 years ago
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Rudiy27

Answer:

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Step-by-step explanation:

( w^2/-3u^4)^2

We know that ( a/b) ^c = a^c  / b^c

( w^2) ^2/ (-3u^4)^2

We know that a^b^c = a^(b*c)  

w^(2*2)/ (-3u^4)^2

We know ( ab) ^c = a^c * b^c

w^4/ (( -3)^2 u^4^2)

w^4/(9 u^(4*2))

w^4 / (9u^8)

7 0
3 years ago
La longitud de una batería es 0,000052 metros
Alex

Step-by-step explanation:

64 km in bateria longitude

5 0
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