Kristy downloads two songs to her MP3
player. The songs are 3 minutes and 4- minutes
long. About how many minutes of memory will these
two songs use altogether?

Based on the distance that Jill is above sea level, and the distance of the whale, the difference in elevation is 1.35 km.

Jill's elevation relative to sea level is:

= +5/4 km

The whale's elevation relative to sea level is:

= - 0.1 km

The difference is therefore:

= 5/4 - (-0.1)

= 1.25 + 0.1

= 1.35 km

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The five in 35.76 is 100 times bigger than the five in 26.95.

Here we want to compare the values of the 5's in two different numbers, which are 35.76 and 26.95.

To compare them we need to compare the place value in which each five is.

To compare them, just write the numbers but replacing all the other values by zeros:

35.76 = 05.00 = 5

26.95 = 00.05 = 0.05

Now take the quotient of these two, we will get:

5/0.05 = 100

Thus, the 5 in 35.76 is 100 times bigger than the 5 in 26.95.

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Answer:

$1000

Step-by-step explanation:

Check answers

1000x .03= 30

1000 - 30 = 970

The government agency as a monopolist will produce and sell internet connections up to the point where the marginal cost is 1/2. The price will be set at 1, given the perfectly elastic demand function.

In the scenario where a government agency has a monopoly in the provision of internet connections and the inverse demand function is given by p = 1, we can analyze the market equilibrium and the implications for pricing and quantity.

The inverse demand function, p = 1, implies that the market demand for internet connections is perfectly elastic, meaning consumers are willing to purchase any quantity of internet connections at a price of 1. As a monopolist, the government agency has control over the supply of internet connections and can set the price to maximize its profits.

To determine the optimal pricing and quantity, the monopolist needs to consider the marginal cost of providing internet connections. In this case, the marginal cost is given as 1/2. The monopolist will aim to maximize its profits by equating marginal cost with marginal revenue.

Since the inverse demand function is p = 1, the revenue received by the monopolist for each unit sold is also 1. Therefore, the marginal revenue is also 1. The monopolist will produce up to the point where marginal cost equals marginal revenue, which in this case is 1/2.

As a result, the monopolist will produce and sell internet connections up to the quantity where the marginal cost is 1/2. The monopolist will set the price at 1 since consumers are willing to pay that price.

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Answer:

-300

Step-by-step explanation:

because is in the negative and is a number bigger than 23 but in negative.

The particle travels approximately 45.63 units along the path. The displacement is the straight-line distance between the initial and final positions of the particle is 2781.

To find the distance the particle travels along the path, we can integrate the speed over the interval of time. The speed of the particle is given by the magnitude of its velocity vector.

The velocity vector is the derivative of the position function r(t):

\(v(t) = (d/dt)(t^3/3, t^2, 2t)\)

\(= (t^2, 2t, 2)\)

The speed of the particle at any given time t is:

|v(t)| = √((t^2)^2 + (2t)^2 + 2^2)

= √(t^4 + 4t^2 + 4)

= √((t^2 + 2)^2)

To find the distance traveled along the path, we integrate the speed function over the given interval of time. The particle travels from t = -1/3 to t = 9.

distance = ∫[from -1/3 to 9] |v(t)| dt

= ∫[from -1/3 to 9] |t^2 + 2| dt

= ∫[from -1/3 to 0] -(t^2 + 2) dt + ∫[from 0 to 9] (t^2 + 2) dt

= [-1/3 * t^3 - 2t] (from -1/3 to 0) + [1/3 * t^3 + 2t] (from 0 to 9)

Evaluating the definite integrals:

distance = [-1/3 * 0^3 - 2 * 0 - (-1/3 * (-1/3)^3 - 2 * (-1/3))] + [1/3 * 9^3 + 2 * 9 - (1/3 * 0^3 + 2 * 0)]

= [0 - (1/3 * (-1/27) + 2/3)] + [1/3 * 729 + 18]

= [1/27 + 2/3] + [729/3 + 18]

= 1/27 + 2/3 + 729/3 + 18

= 1/27 + 18/27 + 729/3 + 18

= (1 + 18 + 729)/27 + 18

= 748/27 + 18

= 27.63 + 18

= 45.63 units (approximately)

Therefore, the particle travels approximately 45.63 units along the path.

To find the average speed, we divide the distance traveled by the time taken. The time taken is 9 - (-1/3) = 9 1/3 = 28/3.

average speed = distance / time

= 45.63 / (28/3)

= 45.63 * (3/28)

= 4.9179 units per unit time (approximately)

The displacement is the straight-line distance between the initial and final positions of the particle.

displacement = |r(9) - r(-1/3)|

= |(9^3/3, 9^2, 2 * 9) - ((-1/3)^3/3, (-1/3)^2, 2 * (-1/3))|

= |(27, 81, 18) - (-1/27, 1/9, -2/3)|

= |(27 + 1/27, 81

= 2781.

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Answer:

$1,800

Step-by-step explanation:

If Michael works 30 hours a week for $15 an hour we can use the equation:

15 x 30 = 450.

Now just multiply the given answer by 4 and you're left with:

450 x 4 = 1800.

Answer:

26/100

Step-by-step explanation:

53/100-27/100 = ?

53-27 = 26

26/100

Answer:

$10.12

Step-by-step explanation:

Step one:

given data

we are told that the cost of binoculars is $155.75

and also the sales tax is 7%

Step two:

We want to first solve for the sales tax which is 7% of  $155.75

=7/100* 155.75

=0.070*155.75

=10.12

Cassie will pay a tax of $10.12

Also Cassie will pay a total amount of

= 155.75+10.12

=$165.87

Answer:

*  The mean (a measure of central tendency) weight value is the average of the weights of all pennies in the study.

* The standard deviation (a measure of variability or dispersion) describes the lowest and highest any individual penny weight can be. Subtracting 0.02g from the mean, you get the lowest penny weight in the group.

Step-by-step explanation:

Recall that a penny is a money unit. It is created/produced, just like any other commodity. As a matter of fact, almost all types of money or currency are manufactured; with different materials ranging from paper to solid metals.

A group of pennies made in a certain year are weighed. The variable of interest here is weight of a penny.

The mean weight of all selected pennies is approximately 2.5grams.

The standard deviation of this mean value is 0.02grams.

In this context,

*  The mean (a measure of central tendency) weight value is the average of the weights of all pennies in the study.

* The standard deviation (a measure of variability or dispersion) describes the lowest and highest any individual penny weight can be. Subtracting 0.02g from the mean, you get the lowest penny weight in the group.

Likewise, adding 0.02g to the mean, you get the highest penny weight in the group.

Hence, the weight of each penny in this study, falls within

[2.48grams - 2.52grams]

Answer: The length is 88 yards  and the width is 10 yards. Look into the steps for more information.

Step-by-step explanation:

The length is 12 yards less than 10 times the width so we can represent that by the equation  L = 10w - 12  

And the area is 880  so the width times the length has to equal 880. the width is w and the length is 10w -12

w( 10w -12 ) = 880   solve for w

10w^2 - 12w  = 880    subtract 880 from both sides

              -880   -880

10w^2 - 12w - 880 = 0     They share the same factors so dive each side by 2

5w^2 - 6w^2 - 440 = 0  

a= 5     b = -6  and c=-440

The quadratic formula says that x= -b ± \(\sqrt{b^2- 4ac} / 2a\)  

   x= 6 ±\(\sqrt{8836} / 5\)  

x= 6 ± 94  /10

x= 100 /10

x = 10  

In this case the width is 10 yards.

The length is 12 less than 10 times the width .

So   L  = 10(10) - 12

   L =  100- 12

  l = 88  

So the length is 88

The required length and width are 229 and 27 yards.

It is required to find the dimension of rectangle.

A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel. It is a four-sided polygon that has four angles, equal to 90 degrees. A rectangle is a two-dimensional shape.

Given:

A=l*w

w=width

10w-12=length

According to given question we have,

6183=(10w-12)(w)

6183=10\(w^{2}\)-14w

9\(w^{2}\)-14w-6183=0

By simplify we get,

(9w+229)(w-27)=0

w-27=0

w=27 yards

l=9*27-14=229 yards

Therefore, the required length and width are 229 and 27 yards.

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Answer:

  y = 15x +3

Step-by-step explanation:

If the rate were a straight Rs15 per km, then the equation would be ...

  y = 15x . . . . fare for x km

However, the first km has an additional Rs3 added to the fare. So, the equation is ...

  y = 15x +3 . . . . . fare in Rs for x km

Answer:

21.17

Step-by-step explanation:

tan= opposite/ adjacent

tan(36)= x/29

0.73= x/29

x= 21.17

The daily expense for food and lodging will be 337 which is Less than $367 per day.

The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

The z-score is given as;

z = (x - μ) / σ

Where μ is the mean, σ is the standard deviation, and x is the sample.

Given; A recent survey by the American Automobile Association showed that a family of two adults and two children on vacation in the United States will pay an average of $247 per day for food and lodging with a standard deviation of $60 per day.

Assuming the data are normally distributed if the family had a z-score of 1.5.

Then the daily expense for food and lodging will be;

z = (x - μ) / σ

1.5 = (x - 247) / 60

90 = x - 247

x = 247 + 90

x = 337

Hence, The daily expense for food and lodging will be 337 which is Less than $367 per day.

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Answer:

1.9*10^4   kg

Step-by-step explanation:

1.9*10^4   kg

Answer:

1.9 × 10⁴

Step-by-step explanation:

Move the decimal 4 places to the left to get your number less than 10 but greater than one. Every space you moved left is then placed in the position of the exponent for 10.

The simplest radical form of the radicals given are:

1. The simplest radical form of √175 is 5 √7.

2. The simplest radical form of √5 / 12 is √5 / 12.

First, let us understand the radical:

A radical can also be called a surd. A surd is an irrational number. We say that it is irrational because it can not be expressed as a terminating decimal.

1.

We are given:

√175

We need to write in the simplest radical form.

175 can be written as:

175 = 5 * 5 * 7

√175 = √ 5 * 5 * 7

√175 = √ 5 * 5 * √7

√175 = 5 √7

So, the simplest form of √175 is 5 √7.

2.

We are given:

√5 / 12

We need to write in the simplest radical form.

√5 / 12 is already in the simplest form.

So, the simplest form of √5 / 12 is √5 / 12.

Thus, the simplest radical form of the radicals given are:

1. The simplest radical form of √175 is 5 √7.

2. The simplest radical form of √5 / 12 is √5 / 12.

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The interval over which the function is continuous equation is (-∞, 3) U (3, +∞).

The function f(x) = (x2 - 5x - 6)/(x - 3) is continuous over all real numbers except x = 3, since the denominator is equal to 0 at x = 3.

We can use the properties of combinations of continuous functions to determine the interval(s) over which the function f(x) is continuous equation.

First, we need to consider the function f(x) in two parts. The first part is f(x) when x ≠ 3, and the second part is when x = 3.

For the first part, when x ≠ 3, the function f(x) is continuous over all real numbers, since both the numerator and denominator are continuous over all real numbers.

For the second part, when x = 3, the function f(x) is discontinuous, since the denominator is equal to 0.

Therefore, the interval over which the function f(x) is continuous is (-∞, 3) U (3, +∞).

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The equation of the line with slope 1/3 and y-intercept as -1 is y = x/3-1 in slope-intercept form.

According to the question,

We have the following information:

Slope of the line = 1/3

We know that the slope of the line is denoted by m.

y-intercept of the line = -1

We know that the y-intercept is denoted by b.

We have the following equation for the line in slope-intercept form:

y = mx+b

Putting the above values in this equation:

y = x/3-1

Hence, the equation of the line with slope 1/3 and y-intercept as -1 is y = x/3-1 in slope-intercept form.

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Answer:

A

Step-by-step explanation:

ita a bc i know its I did this before

Answer:

a) 224

b) (for Smith) 96

Show your work:

a) 35 x 640

-----------

100

= 224

b) 15 x 640

---------

100

= 96

hope i helped :D

Answer:

\(y-6=-\frac{\displaystyle 8}{\displaystyle 5}(x+2)\)

OR

\(y+2=-\frac{\displaystyle 8}{\displaystyle 5}(x-3)\)

Step-by-step explanation:

Hi there!

Point-slope form: \(y-y_1=m(x-x_1)\) where \((x_1,y_1)\) is a point and \(m\) is the slope

1) Determine the slope

\(m=\frac{\displaystyle y_2-y_1}{\displaystyle x_2-x_2}\) where two given points are \((x_1,y_1)\) and \((x_2,y_2)\)

Plug in the given points (-2, 6) and (3,-2):

\(m=\frac{\displaystyle -2-6}{\displaystyle 3-(-2)}\\\\m=\frac{\displaystyle -8}{\displaystyle 3+2}\\\\m=-\frac{\displaystyle 8}{\displaystyle 5}\)

Therefore, the slope of the line is \(-\frac{\displaystyle 8}{\displaystyle 5}\). Plug this into \(y-y_1=m(x-x_1)\):

\(y-y_1=-\frac{\displaystyle 8}{\displaystyle 5}(x-x_1)\)

2) Plug in a point \((x_1,y_1)\)

\(y-y_1=-\frac{\displaystyle 8}{\displaystyle 5}(x-x_1)\)

We're given two points, (-2, 6) and (3,-2), so there are two ways we can write this equation:

\(y-6=-\frac{\displaystyle 8}{\displaystyle 5}(x-(-2))\\\\y-6=-\frac{\displaystyle 8}{\displaystyle 5}(x+2)\)

OR

\(y-(-2)=-\frac{\displaystyle 8}{\displaystyle 5}(x-3)\\y+2=-\frac{\displaystyle 8}{\displaystyle 5}(x-3)\)

I hope this helps!

Answer:1.325

Step-by-step explanation:

Answer:

16 ; 16.5

Step-by-step explanation:

Given the data:

X = 9, 20, 17, 21, 16, 13

1.) The mean of the data:

Σ(X) / n

n = sample size ; n = 6

(9 + 20 + 17 + 21 + 16 + 13) / 6

= 96 / 6

= 16

2.) The median :

Rearranged data : 9, 13, 16, 17, 20, 21

1/2 (n + 1)th term

1/2 (6 + 1)th term

1/2 (7) th term

The 3.5 th term is the median:

(3rd + 4th) / 2

(16 + 17) / 2

33 /2 = 16.5

The number of years for the compound interest to reach an amount of value $ 4179 is given by n = 7.25 years

Given data ,

Let the compound interest amount be represented as A

Now , the interest rate r = 4.6 %

The number of times the interest is applied = quarterly

The principal amount P = $ 3000

Let the number of years be represented as n

And , t = ln(A/P) / n[ln(1 + r/n)]

t = ln(4,179.00/3,000.00) / ( 4 × [ln(1 + 0.046/4)] )

t = ln(4,179.00/3,000.00) / ( 4 × [ln(1 + 0.0115)] )

t = 7.247 years

On simplifying , we get n = 7.25 years

Hence , time required to get a total amount of $4,179.00 with compounded interest on a principal of $3,000.00 at an interest rate of 4.6% per year and compounded 4 times per year is 7.25 years

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Answer:

Please give brainliest

Step-by-step explanation:

c

Answer:

i believe its b. but im not 100% sure though!

Step-by-step explanation:

please mark brainliest, give a thanks, and rate a five stars if this helped! feel free to ask anymore questions if you need any more help! thanks!

(lol optional): add my sc: tealyn337

The statement that most accurately describes patterns of Irish immigration in the mid-19th century is: its peaked in approximately 1851. The Option D is correct.

Irish immigration to the United States in the mid-19th century was characterized by several factors:

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Using thie model ,The answer is D. 27.

To calculate 9÷1/3 using the model below, we can imagine dividing the green rectangle into thirds vertically. Each third would contain 3 cells.

Then, we can see that there are a total of 9 cells in the rectangle. Since we are dividing by 1/3, we need to find out how many sets of 1/3 are in 9.

We can see that there are 3 sets of 1/3 in each row (since each row contains 3 cells, which are thirds). So, in total, there are 3 rows of 3 sets of 1/3, which gives us:

9÷1/3 = 3 rows x 3 sets of 1/3 = 9 sets of 1/3 = 27

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