All categories

3 years ago

Solve for n 2/3(1+n) = -1/2n

Mathematics

2 answers:

Alex73 [517]3 years ago

4 0

Answer:

-1/2 = n

Step-by-step explanation:

2/3(1+n) = -1/2n

2/3 + 2/3n = -1/2n

2/3 + 2/3n - 2/3n = -1/2n

2/3 = -1/2n -2/3n

2/3 = -.5n -.66n

2/3 = -1.16n

2/3/-1.16 = n

.66 - 1.16 =n

-0.5=n

- 1/2 = n

Radda [10]3 years ago

3 0

-4/7 (decimal form (.571))

You might be interested in

Look at the following sequence. 128, 320, 800, 2000, . . . If it is a geometric sequence, choose the common ratio. If it is not

OlgaM077 [116]

Answer:

It is a geometric sequence en the common ratio is: $r=\frac{5}{2}$ .

Step-by-step explanation:

1. By definition, a geometric sequence is a sequence in which you obtain a term by multiplying the previous one by a common ratio.

2. The common ratio is obtained by dividing a term by its preceding term.

3. Keeping this on mind, you have:

$\frac{320}{128}=\frac{5}{2}\\$

$\frac{800}{320}=\frac{5}{2}$

$\frac{2000}{800}=\frac{5}{2}$

4. As you can see, the common ratio is $\frac{5}{2}$

3 0

3 years ago

Read 2 more answers

Determine the length of the line segment shown. line segment from negative 10 comma 9 to 5 comma negative 1 4 units 18 units 19

user100 [1]

The length of the line segment is (b) 18 units

<h3>How to determine the length of the line segment?</h3>

The line segment is given as

ine segment from negative 10 comma 9 to 5 comma negative 1

This can be rewritten as

line segment from (-10, 9) to (5, -1)

The length of the line segment is then calculated using the following distance formula

distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Where

(x, y) = (-10, 9) to (5, -1)

Substitute the known values in the above equation, so, we have the following representation

Length = √[(-10 - 5)² + (9 + 1)²]

Evaluate

Length = 18

Hence, the length is 18 units

Read more about distance at

brainly.com/question/7243416

#SPJ1

4 0

1 year ago

Read 2 more answers

Can I please have help with question 2) a and b

Ulleksa [173]

Answer:

$\frac{10\sqrt{6} }{3}$ and $\frac{11\sqrt{3} }{3}$

Step-by-step explanation:

(a)

A = $\frac{1}{2}$ × 4 $\sqrt{2}$ × $\frac{5}{\sqrt{3} }$

= 2 $\sqrt{2}$ × $\frac{5}{\sqrt{3} }$

= $\frac{10\sqrt{2} }{\sqrt{3} }$ × $\frac{\sqrt{3} }{\sqrt{3} }$ ← rationalise the denominator

= $\frac{10\sqrt{6} }{3}$ units²

(b)

Using Pythagoras' identity in the right triangle

let hypotenuse be h , then

h² = (4 $\sqrt{2}$ )² + ( $\frac{5}{\sqrt{3} }$ )²

= 32 + $\frac{25}{3}$

= $\frac{96}{3}$ + $\frac{25}{3}$

= $\frac{121}{3}$ ( take the square root of both sides )

h = $\sqrt{\frac{121}{3} }$ = $\frac{11}{\sqrt{3} }$ × $\frac{\sqrt{3} }{\sqrt{3} }$ ← rationalise the denominator

h = $\frac{11\sqrt{3} }{3}$

7 0

3 years ago

Verify sin4 x- sin2x = cos4x – cos2x is an identity

Andrej [43]

Step-by-step explanation:

sin⁴ x − sin² x

Factor:

(sin² x) (sin² x − 1)

Pythagorean identity:

(1 − cos² x) (-cos² x)

Distribute:

-cos² x + cos⁴ x

cos⁴ x − cos² x

6 0

3 years ago

What is the answer to a situation that could be modeled with the ratio 4 to 1

Tju [1.3M]

For every 4 hotdogs there is 1 hamburger being sold.

4 0

3 years ago