1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Gnesinka [82]
3 years ago
5

Kent multiplies both sides of the equation below by an expression.

Mathematics
2 answers:
Korolek [52]3 years ago
8 0
The steps below are presented in order to arrive to the value of k of the given equation. 
First, multiply both sides of the equation by the variable k since the left-hand side of the equation has it in the denominator. This will be,  
            (k + 12/ k)(k) = 8(k)

Then, we simplify,
             k + 12 = 8k
We then, subtract 8k to both sides of the equation,
           k - 8k + 12 = 8k - 8k

Simplifying,
                  -7k + 12 = 0

Then, subtract 12 from both sides of the equation and divide both sides by -7. This will us the final answer of,                  
                     k = 12/7
liubo4ka [24]3 years ago
3 0

Answer:

D on edge :)

Step-by-step explanation:

You might be interested in
Find the Mistake<br> 6 - 4(3 - 6x) + 12x<br> 2(3 - 6x) + 12x<br> 6 - 12x + 12x<br> 6
sesenic [268]

Answer:

Order of operations was not used correctly, Do what is inside the parenthesis first. So use the distributive property first and not subtraction.

Step-by-step explanation:

6-4(3-6x)+12x

  • 6-12+24x+12x
  • -6+24x+12x
  • -6+36x or 36x-6
7 0
3 years ago
Read 2 more answers
An 80% increase followed by a 40% decrease
scZoUnD [109]
You start with 100%, add 80% for the increase and you get 180%, take away 40% for the decrease and you get 140%
4 0
3 years ago
Show that if X is a geometric random variable with parameter p, then
Lubov Fominskaja [6]

Answer:

\sum_{k=1}^{\infty} \frac{p(1-p)^{k-1}}{k}=-\frac{p ln p}{1-p}

Step-by-step explanation:

The geometric distribution represents "the number of failures before you get a success in a series of Bernoulli trials. This discrete probability distribution is represented by the probability density function:"

P(X=x)=(1-p)^{x-1} p

Let X the random variable that measures the number os trials until the first success, we know that X follows this distribution:

X\sim Geo (1-p)

In order to find the expected value E(1/X) we need to find this sum:

E(X)=\sum_{k=1}^{\infty} \frac{p(1-p)^{k-1}}{k}

Lets consider the following series:

\sum_{k=1}^{\infty} b^{k-1}

And let's assume that this series is a power series with b a number between (0,1). If we apply integration of this series we have this:

\int_{0}^b \sum_{k=1}^{\infty} r^{k-1}=\sum_{k=1}^{\infty} \int_{0}^b r^{k-1} dt=\sum_{k=1}^{\infty} \frac{b^k}{k}   (a)

On the last step we assume that 0\leq r\leq b and \sum_{k=1}^{\infty} r^{k-1}=\frac{1}{1-r}, then the integral on the left part of equation (a) would be 1. And we have:

\int_{0}^b \frac{1}{1-r}dr=-ln(1-b)

And for the next step we have:

\sum_{k=1}^{\infty} \frac{b^{k-1}}{k}=\frac{1}{b}\sum_{k=1}^{\infty}\frac{b^k}{k}=-\frac{ln(1-b)}{b}

And with this we have the requiered proof.

And since b=1-p we have that:

\sum_{k=1}^{\infty} \frac{p(1-p)^{k-1}}{k}=-\frac{p ln p}{1-p}

4 0
3 years ago
80 to 60 as a fraction
Alenkasestr [34]

Answer:

4/3

Step-by-step explanation:

80 to 60 means a ratio. That means 80:60, which means 80/60, which simplifies to 4/3.


7 0
3 years ago
Read 2 more answers
Ethan bought 4 packages of pencils. After he gave 8 pencils to his friends, he had 40 pencils
Inessa05 [86]

Answer:

12

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • Starting at the top of a square pyramid and make a vertical slice cutting pyramid in half what is the shape of the newly-exposed
    5·1 answer
  • write a ratio for the situation in three ways comparing the first quantity to the second a zoo has 14 monkeys and 18 chimpnzees
    6·1 answer
  • 59.952 rounded to the nearest tenth
    6·1 answer
  • She has saved $30 which is three fifths of the total cost, how much is the total cost
    10·1 answer
  • Mahalia is making cloth napkins. She bought fabric that is 12 inches wide and 6 yards long. How much napkins can Mahalia make if
    12·1 answer
  • Journal<br> How does knowing the double 6+6=12<br> Help you solve the near double 6+7= 13?
    10·1 answer
  • Question #6 please? The are and the perimeter
    5·1 answer
  • How does the graph of the linear function f (x) = x compare to the graphs of g(x)= f(x)+candh(x)= f(cx)?
    10·1 answer
  • What is the slope and y-intercept of this line?
    7·1 answer
  • What is a severe limitation of using the Internet for primary research? The data on the Internet are usually outdated. The educa
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!