Which equation represents the line that is perpendicular to the graph

Kent multiplies both sides of the equation below by an expression. k startfraction 12 over k endfraction = 8 then he moves all t

Pepsi [2]

The resulting value of k is 12/7.

<h3>What is a fraction?</h3>

Fractions are the numerical values that are a part of the whole. A whole can be an object or a group of objects.

The steps below are presented in order to arrive at 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.

The solution of the equation will be;

$\rm \dfrac{k+12}{k}(k) = 8(k)\\\\\dfrac{k+12}{k}=8\\\\k+12=8k\\\\8k-k=12\\\\ 7k=12\\\\k =\dfrac{12}{7}$

Hence, the resulting value of k is 12/7.

To know more about fractions click the link given below.

brainly.com/question/3174308

6 0

2 years ago

Read 2 more answers

Two positive integers have a product of 200.

sattari [20]

Since 200 is a constant, of x, move 200 out of the integral. 200x+c. Constant is a fixed value that does not change.

IF YOU LIKE MY ANSWER PLS GIVE ME BRAINLIEST!!

3 0

3 years ago

Jennifer's boss asked her to make a box plot of the number of people who go to White Plains throughout the week. Here are the nu

Rufina [12.5K]

Answer:

Minimum:85.0000

25th Percentile: 165.0000

Sample Median: 210.0000

75th Percentile: 230.0000

Interquartile Range: 65.0000

Maximum: 450.0000

7 0

3 years ago

For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding.

zhannawk [14.2K]

Answer:

a) 0.6032

b)

Lower limit: 0.48

Upper limit: 0.72

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

Question a:

In a random sample of 63 professional actors, it was found that 38 were extroverts.

We use this to find the sample proportion, which is the point estimate for p. So

$\pi = \frac{38}{63} = 0.6032$

Question b:

Sample of 63 means that $n = 63$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6032 - 1.96\sqrt{\frac{0.6032*0.3968}{63}} = 0.4824$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6032 + 1.96\sqrt{\frac{0.6032*0.3968}{63}} = 0.724$

Rounding to two decimal places:

Lower limit: 0.48

Upper limit: 0.72

7 0

3 years ago

Can someone explain this?

Cerrena [4.2K]

<h2>Hello!</h2>

The answer is:

The missing step is the step shown in the last option:

D. $324=0.042x+16$

To find which is the missing step, we need to remember that to cancel a square root, we need to elevate it, so:

Starting from the last step before the missing step, we have:

$-18=-\sqrt{0.042x+16}$

In order to calculate the value of the variable (x) we need to square both sides of the equation, since squaring a root will cancel the root.

We must remember the following properties:

$\sqrt{a^{m} }=a^{\frac{m}{2}}\\\\(a^{b})^{c}=a^{b*c}$

Now, finding the missing step, we need to find what to do in order to get the expression of the following step.

So, squaring both sides of the equation in order to cancel the square root and isolate the variable, we have:

$-18=-\sqrt{0.042x+16}\\\\(-18)^{2} =(-\sqrt{0.042x+16})^{2} \\324=0.042x+16\\324-16=0.042x\\\\x=\frac{304}{0.042}=7333$

Hence, we found the the missing step is:

D. $324=0.042x+16$

Have a nice day!

4 0

4 years ago