The number of compact discs N purchased each year, in millions, can be
approximated by the function

N(t) = 384(1.13)

where t is the number of years since 1991.

After what amount of time will two billion compact discs be sold?


What is the doubling time for the number of compact discs sold in one year?

Answer:

4 units ...................

Answer: Answer:

The perimeter of the polygon are

PQ = 5

RS = 5

PR = √74 = 8.60

QS = √74 = 8.60

QR = 7

Step-by-step explanation:

To calculate the perimeter of a polygon, polygon is like a coordinate with points, to find the length, we use this formula

d = √(x _2 - x_1)^2 + (y_2 - y_1)^2

Let's start from the first two vertices P ( 0 , 4) and Q(5 , 4)

x_1 = 0

y_1 = 4

x_2 = 5

y_2 = 4

PQ = √ ( 5 - 0)^2 + ( 4 - 4)^2

= √ 5^2 + 0^2

= √ 25

= 5

Between R( 5 , -3) and S ( 0 , -3)

x_1 = 5

y_1 = -3

x_2 = 0

y_2 = -3

RS = √ ( 0 - 5)^2 + ( -3 - (-3))^2

= √( -5)^2 + ( -3 + 3)^2

= √ 25 + 0

= √ 25

= 5

Between P( 0 , 4) and R (5 , -3)

x_1 = 0

y_1 = 4

x_2 = 5

y_2 = -3

PR = √( 5 - 0)^2 + ( -3 - 4)^2

= √ 5^2 + (-7)^2

= √ 25 + 49

= √ 74

= 8.60

Between Q ( 5 , 4) and S(0 ,-3)

x_1 = 5

y_1 = 4

x_2 = 0

y_2 = -3

QS = √ ( 0 - 5)^2 + ( -3 - 4)^2

= √ -5^2 + -7^2

= √ 25 + 49

= √ 74

= 8.60

Between Q( 5,4) and R(5 , -3)

x_1 = 5

y_1 = 4

x_2 = 5

y_2 = -3

QR = √ (5 - 5)^2 + ( -3 - 4)^2

= √ 0^2 + (-7)^2

= √ 0 + 49

= √ 49

= 7

Step-by-step explanation:

Answer:

-1.25

Step-by-step explanation:

2x - 7 = 3

x = -2y - 2

3 + 7 = 2x

x = 5

5 = -2y - 2

5 = -4y

5 = -4 times y

-

Answer:

The answer is B

The equation of the parallel line is: y = 1/2x + 5.

The slope (m) of parallel lines are the same.

Given the equation, y = 1/2x - 7, the slope (m) is 1/2. Therefore, the slope of the line that passes through (-4, 3) would be m = 1/2.

To find the y-intercept (b), substitute m = 1/2 and (x, y) = (-4, 3) into y = mx + b.

3 = 1/2(-4) + b

3 = -2 + b

3 + 2 = b

5 = b

b = 5

Substitute m = 1/2 and b = 5 into y = mx + b:

y = 1/2x + 5

The equation is: y = 1/2x + 5.

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Answer:

x = 7 degrees

Step-by-step explanation:

The unlabelled angle at M   PLUS   12x + 24 = 180

  then   the unlabelled interior angle is  180 - (12x+24)

The sum of the interior angles then = 180

 80 + 4x  +     180-(12x+24) = 180

236 -8x = 180

x = 7

the formula for distance between points is:

Distance = sqrt((x2-x1)^2 + (y2-y1)^2)

Using the points given:

Sqrt((3-7)^2 + (-1 - -2)^2)

Sqrt(-4^2 + 1^2)

None of the answer have a -4 but I think it should be B. Since it is the closest. Did you forget a negative sign when typing??

answer B.

Answer:

  $225

Step-by-step explanation:

When Mary pays the cost in 12 equal payments, each is 1/12 of the total amount.

__

  1/12 × $2700 = $225

Mary will have to pay $225 each month.

realmente no lo se bro per necesito completar este paso

Step-by-step explanation:

Total= 19

Each holds 2 litres .

So it means, 19 -4= 15

You need 15 litres of oranges.

The value of "t" in the given expression for the velocity of the object moving in the medium is t = u³ + 2.5u² + 2u.

The velocity of the object moving in the medium is given as;

t = ∫(3u² + 5u + 2)du

the value of t is obtained by integrating the function as follows;

t = (3u³)/3 + (5u²)/2 + 2u

t = u³ + 2.5u² + 2u

Thus, the value of "t" in the given expression for the velocity of the object moving in the medium is t = u³ + 2.5u² + 2u.

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The Area of the region bounded by curves = 9 sq.units.

Area is the space occupied by a two dimensional figure on a two dimensional space coordinate.

The two curves given are

x² + 4y - 8 = 0 and x =2y​

Convert the two equation so ‘x’ is the dependent variable.

y = -(1/4) x² +2 and y = (1/2)x

Find the limit by the intersection point of both the graph

so (-4, 2) and (2, 1)

The x-values of the line are greater so subtract the parabola:

A = ∫ (1/2)x - (-(1/4) x² +2 ) in the limits of (-4 and 1)

The Area = 9 sq.units.

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Answer:

1/4, 7/8, 7/12, 9/16

LCM of 4,8,12,16 = 48

1/4= 1×12/4×12= 12/48

7/8= 7×6/8×6= 42/48

7/12= 7×4/12×4= 28/48

9/16= 9×3/16×3= 27/48

hence, 7/8 is the largest fraction. I hope it helps ya!!

The largest fraction is 7/8.

Least Common Multiple is defined as the smallest number that is a multiple of two or more numbers.

Given fractions,

1/4, 7/8, 7/12, 9/16

LCM of 4,8,12,16 = 48

1/4= 1×12/4×12= 12/48

7/8= 7×6/8×6= 42/48

7/12= 7×4/12×4= 28/48

9/16= 9×3/16×3= 27/48

Since the largest will be the fraction

NUMERATOR > DENOMINATOR

Hence, the largest fraction is 7/8.

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Answer:

not a solution.. simple not needed to explain too

Answer:

Solution

-1

f

x=

1

-X+

2

Step-by-step explanation:

f(x=2x-7

Solving Steps

y=2x-7

Interchange the variables

x=2y-7

Swap the sides

2y-7=X

Move the constant to the right

2y=X+7

Divide both sides

1

y=

>+*.

7

2

Solution

-1

f

x=

1

-X+

2

Using the t-distribution, it is found that the 95% confidence interval for the population mean rating for Miami is (5.73, 6.95).

The confidence interval is:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

In which:

The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 50 - 1 = 49 df, is t = 2.0096.

Considering the given sample, the other parameters are given as follows:

[tex]\overline{x} = 6.34, s = 2.16, n = 50[/tex]

Hence, the bounds of the interval are:

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 6.34 - 2.0096\frac{2.16}{\sqrt{50}} = 5.73[/tex]

[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 6.34 + 2.0096\frac{2.16}{\sqrt{50}} = 6.95[/tex]

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Answer:

x2 + y2 = r2, and this is the equation of a circle of radius r whose center is the origin O(0, 0). The equation of a circle of radius r and center the origin is x2 + y2 = r2.

I think this is the answer.

Answer:

3/4

Step-by-step explanation:

I actually took this quiz a day ago!

Answer:

6.23*10^6

Step-by-step explanation:

in standard form, it should be written as x*10^n, and x is only allowed from 1-9, so

1) write the first number and add a decimal point(.) and copy down the numbers behind the first number (DO NOT WRITE 0):

6.23

2) check how many numbers are they behind the first number

6230000

~~~~~~

in here, it's 6numbers, so 10^6

3) all in all, your answer is

6.23*10^6

Answer:

X = 1.4

Step-by-step explanation:

x + 14/x = -9

x + 14 = -9x

x + 9x = -14

10x = -14

X = -14/10

X = -1.4

1.2x10^4

Step-by-step explanation:

2.

negative exponent means it's a fraction so

4.5x10^-3 is 1/4500 or 0.0045 so

it's a very small number

1.

^4 means means move the decimal 4 spots

12×10^4 = 12,000

3.

^3 means move the decimal 3 spots

3.8 x 10^3 =

3800

4.

7.5x10^3 =

7500

The data shows that the number of male, female, adult, and baby moose that are in the park will be 52, 34, 58, and 28 respectively.

It should be noted that data simply means the facts and statistics that are given which are used for analysis.

In this case, the data shows that the number of male, female, adult, and baby moose that are in the park will be 52, 34, 58, and 28 respectively. This can be seen from the information in the table.

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Answer:

46/99

explanation shown in the picture

The volume of the given cone.

[tex]\large\boxed{Formula:V= \frac{1}{3}\pi{r}^{2}h}[/tex]

[tex]\large\boxed{\red \pi \red = \red 3 \red . \red 1 \red 4}[/tex]

Let's solve!

Substitute the values according to the formula.

[tex]V= \frac{1}{3}×3.14×{3}^{2}×8[/tex]

[tex]\large\boxed{V= 75.36 \: {yd}^{3}}[/tex]

Therefore, the volume of the given cone is 75.36 cubic yards.

Answer:

12.56ftcube

Step-by-step explanation:

if V=(3.14×1^2)×4= 3.14 ×4=12.56

Answer:

Step-by-step explanation:

German  25%

Other 10%

American 50%

Japanese 15%

……………………………………………

6) the probability that the next car worked on

will be Japanese or German :

p(J∪G) = p(J) + p(G) = 15% + 25% = 40%.

…………………………………………………………

7) the probable number of Japanese cars :

[tex]6000\times \frac{15}{100} = 900[/tex]

Answer:

20.00 units

Step-by-step explanation:

The distance between two points with coordinates

(-20,6) and (-20,-14) is:

20.00 units

(results are in decimal form, rounded to the nearest 100th)

She must win the next 8 consecutive games to get 80% and after that loose the next 12 games to get to 50%.

She has won 8 out of 12 days. Thus, percentage of winning is;

P(winning) = 8/12 * 100%

P(Winning) = 75%

To arrive at 80% winning, it means that the number of extra consecutive games she must win is;

(8 + x)/(12 + x) = 80/100

10(8 + x) = 8(12 + x)

80 + 10x = 96 + 8x

2x = 16

x = 8

Thus, she must win the next 8 consecutive games to get 80%.

For her to get to 50% after that, it means that;

(16 - x)/(20 - x) = 50/100

(16 - x)/(20 - x) = 1/2

2(16 - x) = 20 - x

32 - 2x = 20 - x

x = 12

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Answer:

2i and -2i

Step-by-step explanation:

I'll change u to x to be easier to understand.

x^2 = -4

sqrt(x^2) = sqrt(-4)

sqrt(-4) = 2i, or -2i