All categories

3 years ago

Can someone please help me?

Mathematics

1 answer:

bulgar [2K]3 years ago

6 0

Solution:

Given:

18 = 2b

Solve the equation by isolating the variable.

=> 18 = 2b
=> 2b/2 = 18/2
=> b = 9

The value of b is 9.

Hoped this helped!

You might be interested in

Use a minimum of two sentences to describe the process for writing the ln(x)=5 in exponential form.

Alenkinab [10]

In(x) =5
it's base is e
so x = e^5 is the answer

7 0

4 years ago

Read 2 more answers

5.1 calculate the interest rate charged on the past six months of the investment period

Levart [38]

The interest that is charged on the past six months of the investment period could be obtained by the use of the interest formula.

<h3>What is interest?</h3>

The term interest refers to the money that accrues on an investment or the money that is charged on top of a loan. The interest could be simple (charged only on the principal) or compound (charged on both the principal and the interest).

Thus, the interest that is charged on the past six months of the investment period could be obtained by the use of the interest formula.

Learn more about interest:brainly.com/question/13324776

#SPJ4

4 0

2 years ago

A small town has 2000 inhabitants. At 8 AM, 160 people have heard a rumor. By noon half the town has heard it. At what time will

QveST [7]

Answer:

3:36 PM

Step-by-step explanation:

Let fraction (y) of the people that heard the rumor , the differential equation that is satisfied by the by y is,

$\frac{dy}{dt} = ky(1-y)$

Solving the differential equation,

$y(t) = \frac{y_{o}}{[y_{o} + (1 + y_{o})e^{-kt}]}$

The total number of inhabitants of the town = 2000

The number of people that heard the rumor = 160

At 8 AM, let t = 0,

$y(0) = \frac{160}{2000}$

= 0.08

By noon, half of the town as heard the rumor.

Then,

$y(4) = \frac{1}{2}$

Therefore,

$\frac{1}{2} = \frac{0.08}{[0.08 + (1 - 0.08)e^{-4k}]}$

$\frac{0.08}{[0.08 + 0.92e^{-4k}]} = \frac{1}{2}$

$0.08 + 0.92e^{-4k} = 0.16$

$0.92e^{-4k} = 0.16 - 0.08$

$0.92e^{-4k} = 0.08$

$e^{-4k} = \frac {0.08}{0.92}$

$k = - \frac{1}{4} In(\frac {0.08}{0.92})$

k ≈ 0.06106

Calculating time, t when y(t) = 90%

⇒ y(t) = 0.9

$\frac{0.08}{[0.08 + 0.92e^{-0.06106t}]} =0.9$

$0.08 + 0.92e^{-0.06106t} = \frac {0.9}{0.08}$

$0.08 + 0.92e^{-0.06106t} = 0.089$

$0.92e^{-0.06106t} = 0.089 - 0.08$

$0.92e^{-0.06106t} = 0.0089$

$t = - \frac{1}{0.06106}In (\frac{0.0089}{0.92})$

t = 7.59 hours

⇒ 7 hours 36 minutes

From 8 A.M. plus 7 hours 36 minutes = 3:36 PM

At 3:36 PM will 90% of the population have heard the rumor

7 0

3 years ago

The sum of three consecutive odd integers is 207. What are the integers?

nikdorinn [45]

Hey!

It says that it is the sum of 3 consecutive odd integers right?

So then we give these numbers some variables to work with like so...

x = 1st number
x + 2 = 2nd number
x + 4 = 3rd number

now set all of them equal to 207

x + x + 2 + x + 4 = 207
3x + 6 = 207
3x = 201
x = 67 x + 2 = 69  x + 4 = 71

4 0

3 years ago

#36 graph in desmos and label points of inflection, critical points, local extremes, absolute extremes, asymptotes, etc

Oksana_A [137]

Question 36.

Given the function:

$f(x)=ln(x^2+1)$

Let's graph the function.

Let's graph the function using desmos, then label the following:

• 1. Points of inflection

• 2. Critical points

• 3. Local extremes

• 4. Asymptotes

• The inflection points are the points the function changes concavity.

• The local minimum is the point where the minimum value is obtained.

• The critical point is the point the function changes direction.

• There is no vertical or horizontal asymptote.

ANSWER:

• The inflection points are the points the function changes concavity.

• The local minimum is the point where the minimum value is obtained.

• The critical point is the point the function changes direction.

• There is no vertical or horizontal asymptote.

7 0

1 year ago