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ira [324]
3 years ago
14

Solving Equations In Exercise,solve the equation for e^(x)1/2 = e^3

Mathematics
1 answer:
ra1l [238]3 years ago
8 0

Answer:

x = 9

Step-by-step explanation:

We are given the equation

e^{(x)^{1/2}} = e^3

We solve the equation in the following manner

e^{(x)^{1/2}} = e^3\\e^{\sqrt{x}} = e^3\\\text{Comparing both the sides we get}\\\sqrt{x} = 3\\\text{Squaring both sides}\\(\sqrt{x})^2 = 3^2\\x = 9

Solving for x, we get

x = 9

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Solving Rational equations. LCD method. Show work. Image attached.
Dmitry [639]

Answer:

b=1

Step-by-step explanation:

The given rational equation is

\frac{2b-5}{b-2} -2=\frac{3}{b+2}

The Least Common Denominator is (b+2)(b-2).

Multiply each term in the equation by the LCD.

(b+2)(b-2)\times \frac{2b-5}{b-2} -(b+2)(b-2)\times2=(b+2)(b-2)\times\frac{3}{b+2}

Simplify;

(b+2)\times \frac{2b-5}{1} -2(b+2)(b-2)=(b-2)\times\frac{3}{1}

(b+2)(2b-5) -2(b+2)(b-2)=3(b-2)

Expand and group similar terms

2b^2-5b+4b-10 -2(b^2-4)=3b-6

2b^2-5b+4b-10 -2b^2+8=3b-6

-b-2=3b-6

3b+b=-2+6

4b=4

b=1

3 0
3 years ago
If 5x-3y=12 and 4x-5y=17 what is the value of y?
il63 [147K]

Answer:

8y

Step-by-step explanation:


3 0
3 years ago
What expressions are equivalent to 4x-8x+12y
kotykmax [81]
I belive it would be 12x + 12y
7 0
3 years ago
Read 2 more answers
A ferris wheel has 15 seat buckets . What is the angle measurement between each bucket?​
valkas [14]

Answer:

24 degrees

Step-by-step explanation:

A Ferris wheel is in the shape of a circle. Having 15 seat buckets means that the circle will be divided into 15 sections. Keep in mind that we are assuming that the seat buckets are equally spaced.

We know that:

Degrees in one circle: 360 degree

Dividing in 15 sections:

=\frac{360}{15}\\=24\ degrees

So the angle of measurement between the seat buckets is 24 degrees ..

4 0
4 years ago
Let two cards be dealt successively, without replacement, from a standard 52-card deck. Find the probability of the event. The f
ICE Princess25 [194]

Answer: 4 / 663

Step-by-step explanation:

There are 4 queens in a deck of 52 cards.

Probability = 4/52 = 1/13

There are 4 sevens

Probability = 4/51

Total probability = 1/13 x 4/51 = 4 / 663

4 0
4 years ago
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