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3 years ago

Ln (3x+1)-ln (5+x) = ln 2

1 answer:

3 0

First you would simplify the left side to get,

ln( ( 3x+1 ) / ( 5+x ) ) = ln 2

Then raise both sides as the power of e, so it would basically cancel out the ln's.

3x+1 / 5+x = 2

3x+1 = 2( 5+x )

3x+1 = 10+2x

x = 9

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Evaluate the function for x = –4c if c = –2.

irga5000 [103]

x = –4c
if c = -2 then x = -4(-2) = 8

I believed you had a typo, function should be f(x) = -3x^2 - 4x
so
f(x) = -3x^2 - 4x
f(x) = -3(8^2) - 4(8)
f(x) = -3(64) - 32
f(x) = -192 - 32
f(x) = -224

answer

C.
–224

5 0

4 years ago

There are 10 students in a class. The teacher chooses 2 students to go to the

CaHeK987 [17]

Answer:

The number of ways in which students were chosen is 45 ways .

Step-by-step explanation:

Given as :

The number of students in a class = x = 10

The number of students chosen by teacher to go to library = y = 2

Let The number of ways in which students were chosen = n ways

Now, According to question

So, number of ways in which students were chosen = $_{y}^{x}\textrm{C}$

Or, n ways = $_{2}^{10}\textrm{C}$

Or, n = $\frac{\L 10}{\L( 10-2)\times \L 2}$

Or, n = $\frac{\L 10}{\L8\times \L 2}$

Or, n = $\frac{10\times 9\times \L 8}{\L 8\times \L 2}$

Or, n = $\frac{10\times 9}{2\times 1}$

Or, n = 5 × 9

i.e n = 45

So, The number of ways in which students were chosen = n = 45 ways

Hence,The number of ways in which students were chosen is 45 ways . Answer

3 0

4 years ago

Write and solve an equation.

kompoz [17]

You need to find the length of each side by doing 132÷4 which equals 33. Then to find the area you do 33×33 which equals 1,089. So yes, the area is over 1,000.

5 0

4 years ago

Read 2 more answers

A wave has a frequency of 6.1 x 1014 Hz and a speed of 3.00 x 108 m/s. Use

slamgirl [31]

Answer:

(A) $4.9\times 10^{-7}\ m$

Step-by-step explanation:

Given:

Frequency of the wave (f) = $6.1\times 10^{14}\ Hz$

Speed of the wave (v) = $3.00\times 10^8\ m/s$

The wavelength equation of the wave is given as:

$\lambda=\dfrac{v}{f}$

Here, $\lambda \to wave\ wavelength$

Now, plug in the given values and simplify.

$\lambda=\frac{3\times 10^8}{6.1\times 10^{14}}\\\\\lambda=4.9\times 10^{-7}\ m$

Therefore, the wavelength of the wave is option (A) $4.9\times 10^{-7}\ m$

3 0

3 years ago

Solve the square root of 2x-5=x-4

Varvara68 [4.7K]

Answer:

Simplifying
2x + -5 = x + -4

Reorder the terms:
-5 + 2x = x + -4

Reorder the terms:
-5 + 2x = -4 + x

Solving
-5 + 2x = -4 + x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x' to each side of the equation.
-5 + 2x + -1x = -4 + x + -1x

Combine like terms: 2x + -1x = 1x
-5 + 1x = -4 + x + -1x

Combine like terms: x + -1x = 0
-5 + 1x = -4 + 0
-5 + 1x = -4

Add '5' to each side of the equation.
-5 + 5 + 1x = -4 + 5

Combine like terms: -5 + 5 = 0
0 + 1x = -4 + 5
1x = -4 + 5

Combine like terms: -4 + 5 = 1
1x = 1

Divide each side by '1'.
x = 1

Simplifying
x = 1

8 0

3 years ago