What are the greatest common factors for each set of numbers(6,14,22)

Lorena is driving a truck that is painting the lines on a new road. The lines she paints are 0.152 meters wide, and she will pai

Alina [70]

Answer:

8.284 × 10^4 m^2

Step-by-step explanation:

The area is the product of length and width:

(5.45·10^5 m)·(0.152 m) = 0.8284·10^5 m^2 = 8.284·10^4 m^2

5 0

3 years ago

What is the solution to this equation 1/2n^2+18=0

ololo11 [35]

Answer:

n = ±6 .

Step-by-step explanation:

A quadratic equation is given to us and we need to find out the solution of the given equation . The given equation is ,

$\rm\implies -\dfrac{1}{2}n^2+18=0$

Subtracting 18 both sides ,

$\rm\implies -\dfrac{1}{2}n^2 = -18$

Multiplying both sides by -2 ,

$\rm\implies -2\times\dfrac{1}{2}n^2 = -2\times -18$

On simplyfing , we get ,

$\rm\implies n^2= 36$

Putting squareroot both sides ,

$\rm\implies n= \sqrt{36}$

This equals to ,

$\rm\implies \boxed{\quad\blue{\rm n =\pm 6 }}$

Hence the value of n is ±6 .

6 0

2 years ago

D-1/2=5/12 what is d??

EleoNora [17]

Answer:

d = $\frac{11}{12}$

Step-by-step explanation:

1) To solve for d, isolate it in the equation. So, to get rid of the $-\frac{1}{2}$ with the d, add $\frac{1}{2}$ to both sides.

$d-\frac{1}{2} = \frac{5}{12} \\d - \frac{1}{2} +\frac{1}{2} = \frac{5}{12} + \frac{6}{12} \\d = \frac{11}{12}$

Thus, d = $\frac{11}{12}$ .

6 0

2 years ago

For what values do maximum r-values occur on the graph the polar equation

blagie [28]

Answer:

We have the function:

r = -3 + 4*cos(θ)

And we want to find the value of θ where we have the maximum value of r.

For this, we can see that the cosine function has a positive coeficient, so when the cosine function has a maximum, also does the value of r.

We know that the meaximum value of the cosine is 1, and it happens when:

θ = 2n*pi, for any integer value of n.

Then the answer is θ = 2n*pi, in this point we have:

r = -3 + 4*cos (2n*pi) = -3 + 4 = 1

The maximum value of r is 7

(while you may have a biger, in magnitude, value for r if you select the negative solutions for the cosine, you need to remember that the radius must be always a positive number)

5 0

2 years ago

Read 2 more answers

Complete the recursive formula of the arithmetic sequence 8, -5, -18, -31,...8,−5,−18,−31,...8, comma, minus, 5, comma, minus, 1

dimaraw [331]

The recursive formula for the arithmetic sequence is given as follows:

d(1) = 8.

d(n) = d(n - 1) - 13.

<h3>What is an arithmetic sequence?</h3>

In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.

The nth term of an arithmetic sequence is given by:

$a_n = a_1 + (n - 1)d$

In which $a_1$ is the first term.

The recursive formula for the sequence is given by:

$a_n = a_{n-1} + d$

In the sequence 8, -5, -18, -31,...8,−5,−18,−31, the first term and the common ratio are given as follows:

$a_1 = 8, r = 13$

Hence, the recursive sequence is given by:

d(1) = 8.

d(n) = d(n - 1) - 13.

More can be learned about arithmetic sequences at brainly.com/question/6561461

#SPJ1

3 0

1 year ago