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Dmitry_Shevchenko [17]

3 years ago

12

A portable music player has 2 gigabytes of storage and can hold about 500 songs. A similar but larger media player has 80 gigaby

tes of storage. About how many songs can the larger media player hold

1 answer:

anyanavicka [17]3 years ago

5 0

Answer:

20,000.

Step-by-step explanation:

The first music player has 500 songs stored by 2 GB. So 500/2 is 250. You take 250 and you multiply it by 80 and you get 20,000.

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Solve (x + 3)2 + (x + 3) – 2 = 0. Let u = Rewrite the equation in terms of u. (u2 + 3) + u – 2 = 0 u2 + u – 2 = 0 (u2 + 9) + u –

Verdich [7]

Answer:

The solutions of the original equation are x=-5 and x=-2

Step-by-step explanation:

we have

$(x+3)^2+(x+3)-2=0$

Let

$u=(x+3)$

Rewrite the equation

$(u)^2+(u)-2=0$

Complete the square

$u^2+u=2$

$u^2+u+1/4=2+1/4$

$u^2+u+1/4=9/4$

rewrite as perfect squares

$(u+1/2)^2=9/4$

square root both sides

$(u+1/2)=\pm\frac{3}{2}$

$u=(-1/2)\pm\frac{3}{2}$

$u=(-1/2)+\frac{3}{2}=1$

$u=(-1/2)-\frac{3}{2}=-2$

the solutions are

u=-2,u=1

<em>Alternative Method</em>

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$(u)^2+(u)-2=0$

so

$a=1\\b=1\\c=-2$

substitute in the formula

$u=\frac{-1\pm\sqrt{1^{2}-4(1)(-2)}} {2(1)}$

$u=\frac{-1\pm\sqrt{9}} {2}$

$u=\frac{-1\pm3} {2}$

$u=\frac{-1+3} {2}=1$

$u=\frac{-1-3} {2}=-2$

the solutions are

u=-2,u=1

<em>Find the solutions of the original equation</em>

For u=-2

$-2=(x+3)$ ----> $x=-2-3=-5$

For u=1

$1=(x+3)$ ----> $x=1-3=-2$

therefore

The solutions of the original equation are

x=-5 and x=-2

4 0

3 years ago

Read 2 more answers

ASAP. Can someone help me find the percentage of these please, I can't figure it out. (Pic below)

atroni [7]

Answer:

Interphase: 55.56%

Prophase: 27.78%

Metaphase: 8.33%

Anaphase: 5.56%

Telophase: 2.78%

Step-by-step explanation:

All you need to do is follow the instructions. To get the percentage, all you need to do is divide the part by the whole then multiply it by 100%.

$\dfrac{Part}{Whole}\times 100\%$

Now let's take your problem:

Number of cells in interphase:

20 this is the part and the whole would be the total cells, which is 36. Now we insert that into our equation:

$\dfrac{20}{36}\times 100\%=0.5556\times100\%=55.56\%$

So now we apply the same to the rest:

Prophase:

$\dfrac{10}{36}\times 100\%=0.2778\times100\%=27.78\%$

Metaphase:

$\dfrac{3}{36}\times 100\%=0.0833\times100\%=8.33\%$

Anaphase:

$\dfrac{2}{36}\times 100\%=0.0556\times100\%=5.56\%$

Telophase:

$\dfrac{1}{36}\times 100\%=0.0278\times100\%=2.78\%$

4 0

3 years ago

Emma have 450000 dollars

kap26 [50]

Answer:

Is that all to the problem?

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

If your balance after 8 years in the bank at a rate of interest of 11%% is 3783193 how much was your original deposit? 29 Origin

Wittaler [7]

Answer:

The original amount deposit is $1641627.68.

Step-by-step explanation:

Given : If your balance after 8 years in the bank at a rate of interest of 11%% is 3783193.

To find : How much was your original deposit?

Solution :

Applying interest formula,

$A=P(1+r)^t$

Where, A is the amount i.e. A=$3783193

P is the principal value i.e. the original deposit

r is the interest rate r=11%=0.11

t is the time t=8 years.

Substitute the value in the formula,

$3783193=P(1+0.11)^8$

$3783193=P(1.11)^8$

$3783193=P\times 2.30$

$P=\frac{3783193}{2.30}$

$P=1641627.68$

Therefore, The original amount deposit is $1641627.68.

3 0

3 years ago

HELP PLEASE 20 POINTS <br> 1) What is the equation of the line in slope-intercept form?

Nezavi [6.7K]

Answer:

y = (-5/4)x + 5

Step-by-step explanation:

Slope-intercept form is y = mx + b

m is the slope and b is the y-intercept

To find m, we can use the plotted points on the graph

(0,5)(4,0)

Now, do delta y/ delta x

(0-5)/(4-0)

slope = -5/4

Now, the y-intercept is the point where the graph crosses the y-axis

This point is where x is 0. Here, when x is 0, y is 5.

Therefore, the y-intercept is 5

Finally, replace what you've found into the equation

y = (-5/4)x + 5

8 0

2 years ago

Read 2 more answers