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Mama L [17]
3 years ago
13

Plsssss this is the last question i need help sos

Mathematics
1 answer:
jenyasd209 [6]3 years ago
8 0

Answer:

ASA

Hope I helped<3

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What is the exact solution for the equation
Nostrana [21]

Answer:

Option C is correct.

Exact solution of  2^{x+2} = 5^{2x} is, \frac{2\ln 2}{2\ln 5 - \ln 2}

Step-by-step explanation:

Given the equation: 2^{x+2} = 5^{2x}

Using logarithmic rules:

  • a^x=b^y ⇒ x \ln a =y \ln b
  • \ln x^a = a\ln x

Given: 2^{x+2} = 5^{2x}

Taking logarithmic both sides:

\ln 2^{x+2} = \ln 5^{2x}

By logarithmic rules;

(x+2) \ln 2 = (2x) \ln 5

Using distributive property i.e a\cdot (b+c) = a\cdot b + a\cdot c

x \ln 2 +2 \ln 2 = 2x \ln 5

Subtract x \ln 2 from both sides we get;

x \ln 2 +2 \ln 2 - x \ln 2= 2x \ln 5 - x \ln 2

Simplify:

2 \ln 2= 2x \ln 5 - x \ln 2

or

2 \ln 2= x (2\ln 5 - \ln 2)

Divide both sides by (2\ln 5 - \ln 2) we get;

\frac{2\ln 2}{2\ln 5 - \ln 2} = x

Therefore, the exact solution of the given equation is \frac{2\ln 2}{2\ln 5 - \ln 2}


7 0
3 years ago
In one company, 20% of the workers in the technical department applied for vacation at the same time. If 12 workers applied for
FinnZ [79.3K]

Answer:

There are 60 tech workers altogether

Step-by-step explanation:

Let X be the total number of tech workers in the company

Out of X tech employees, 20 % applied for leaves

In totality, 12 tech employees are on leave

Thus,

\frac{20}{100} * X = 12

On solving the above mathematical equation, we get -

X = \frac{12*100}{20} \\X = 60

Hence, there are 60 tech workers altogether

6 0
3 years ago
What is the rate of change or initial value for <br>y=4x-3
geniusboy [140]
Y=4/x-3/x y=1x(mean X) So,y = x
7 0
3 years ago
Solve for x ‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎ ‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎ ‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎ ‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎​
Pie

Answer:

18.46

Step-by-step explanation:

find the area using SSS,  then solve for height

3 0
2 years ago
So umm friends can you please help me in this there are also options given below so i hope you can help me a bit faster.
Ludmilka [50]

Answer:

0.22m

Step-by-step explanation:

1.76/8=0.22m

5 0
2 years ago
Read 2 more answers
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