All categories

3 years ago

½ (8x+4) = ¼ (8+16x)

Mathematics

1 answer:

Marina86 [1]3 years ago

7 0

Answer:

Both sides of the equation are equal to each other.

Step-by-step explanation:

½ (8x+4) = ¼ (8+16x)

(1/2*8x) + (1/2*4) = (1/4*8) + (1/4*16x)

4x + 2 = 2 + 4x

(4x - 4x) + 2 = 2 (+ 4x - 4x)

2 = 2

You might be interested in

-6/5-2/5v+4/15+1/3v please help

PtichkaEL [24]

Answer:

-14/15-1/15v

Step-by-step explanation:

First you make all of the fractions have the common denominator 15.

And then you have -18/15-6/15v+4/15+5/15v

Then you combine like terms to get -14/15-1/15v

5 0

3 years ago

I need this answer asap

padilas [110]

Answer:

$a=64,b=0$

Step-by-step explanation:

Given;

$z=-1-\sqrt{3}i$

$r=\sqrt{(-1)^2+(-\sqrt{3})^2} =2$

$\phi =\tan^{-1}(\frac{-\sqrt{3} }{-1})=\frac{\pi}{3}$

$\arg(z)=2\pi-\frac{\pi}{3} =\frac{5\pi}{3}$

Apply DeMoivre's Theorem;

$z^n=r^n(\cos(n \theta) + i\sin(n \theta))$

$\Rightarrow z^6=2^6(\cos(6\times \frac{5\pi}{3}) + i\sin(6\times \frac{5\pi}{3}))$

$\Rightarrow z^6=64(\cos(10\pi) + i\sin(10\pi))$

$\Rightarrow z^6=64(1+ 0i)$

$\Rightarrow z^6=64+ 0i$

$\therefore a=64,b=0$

7 0

3 years ago

A certain radioactive material decays in such a way that the mass in kilograms remaining after t years is given by the function

Angelina_Jolie [31]

The mass of radioactive material remaining after 50 years would be 48.79 kilograms

<h3>How to determine the amount</h3>

It is important to note that half - life is the time it takes for the amount of a substance to reduce by half its original size.

Given the radioactive decay formula as

m(t)=120e−0.018t

Where

t= 50 years

m(t) is the remaining amount

Substitute the value of t

$m(t) = 120e^-^0^.^0^1^8^(^5^0^)$

$m(t) = 120e^-^0^.^9$

Find the exponential value

m(t) = 48.788399

m(t) = 48.79 kilograms to 2 decimal places

Thus, the mass of radioactive material remaining after 50 years would be 48.79 kilograms

Learn more about half-life here:

brainly.com/question/26148784

#SPJ1

7 0

2 years ago

Robyn opened a bank account to save her birthday money. it was paying 3.75% interest. then the interest rate went up by 0.65%. h

Savatey [412]

Her new interest rate would be 4.40%

8 0

4 years ago

Read 2 more answers

A packing box has the dimensions 3 by 2 by 51<br><br>2<br><br> feet. What is the volume of the box?

Stells [14]

Answer:

3072feet

Step-by-step explanation:

take 3miltiply with 2 multiply with 512 feet then the answer is 3072 feet

3 0

3 years ago

Read 2 more answers