José vende dos bicicletas, cada una a 198 soles. Si en una ganó el 10% y en la otra perdió el 10%. ¿Cuanto ganó o perdió pir la venta de las dos bicicletas?

The potential energy of the King Air 200 aircraft is approximately 420,014,400,000 Nm.

To find the potential energy of the King Air 200 aircraft, we need to use the formula:

Potential Energy = Weight * Altitude

Given that the weight of the aircraft is 12,500 lb and the altitude is 25,000 ft, we can calculate the potential energy as follows:

Potential Energy = 12,500 lb * 25,000 ft

Now, let's convert the units to a more suitable form. Since the potential energy is usually measured in joules or foot-pounds, we'll convert the units accordingly.

1 lb = 4.448 N (approximately) 1 ft = 0.3048 m (approximately)

Using these conversion factors, we can convert the units:

Potential Energy = (12,500 lb * 4.448 N/lb) * (25,000 ft * 0.3048 m/ft) Potential Energy ≈ 55,120,000 N * 7,620 m

Finally, we can calculate the potential energy:

Potential Energy ≈ 420,014,400,000 Nm

Therefore, the potential energy of the King Air 200 aircraft is approximately 420,014,400,000 Nm.

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Answer:

The last option:  \(3 x^{^{\frac{9}{2}}}y^{^{\frac{3}{2}}}\)

Step-by-step explanation:

Main concepts:

Concept 1. Parts of a Radical

Concept 2. Radicals as exponents

Concept 3. Exponent properties

Concept 4. How to simplify a radical

Concept 1. Parts of a Radical

Radicals have a few parts:

If the index isn't shown, it is the default index of "2".  This default index for a radical represents a square root, which is why people sometimes erroneously call the radical symbol a square root even when the index is not 2.

In this situation, the radical's index is 4, and the radicand is 81 x^18 y^6.

Concept 2. Radicals as exponents

For any radical, the entire radical expression can be rewritten equivalently as the radicand raised to the power of the reciprocal of the index of the radical.  In equation form:

\(\sqrt[n]{x} =x^{^{\frac{1}{n}}}\)

So, the original expression can be rewritten as follows:

\(\sqrt[4]{81x^{18}y^{6}}\)

\((81x^{18}y^{6})^{^{\frac{1}{4}}}\)

Concept 3. Exponent properties

There are a number of properties of exponents:

Continuing with our expression, \((81x^{18}y^{6})^{^{\frac{1}{4}}}\), we can apply the "distributive" property since all of the parts are multiplied to each other...

\((81)^{^{\frac{1}{4}}}(x^{18})^{^{\frac{1}{4}}}(y^{6})^{^{\frac{1}{4}}}\)

Applying the "Bases raised to powers, raised again to another power, multiplies powers" rule for the parts with x and y...

\((81)^{^{\frac{1}{4}}}(x^{^{\frac{18}{4}}})(y^{^{\frac{6}{4}}})\)

Reducing those fractions, (both the numerators and denominators have a factor of 2)...

\((81)^{^{\frac{1}{4}}}(x^{^{\frac{9}{2}}})(y^{^{\frac{3}{2}}})\)

Rewriting the exponent of the "81" back as a radical...

\(\sqrt[4]{81} x^{^{\frac{9}{2}}}y^{^{\frac{3}{2}}}\)

Concept 4. How to simplify a radical

For any radical with index "n", the result is the number (or expression) that when multiplied together "n" times gives the radicand.

In our case, the index is 4.  So, we're looking for a number that when multiplied together four times, gives a result of 81.

One method of simplifying radicals is to completely factor the radicand into prime factors, and forms groups (each containing an "n" number of matching items).

Note that 81 factors into 9*9, which further factors into 3*3*3*3

This is a group of 4 matching items, and since the index of the radical is 4, we have found a group that can be factored out of the radical completely:

\(\sqrt[4]{81} =\sqrt[4]{(3*3*3*3)}=3\)

So, our original expression, simplifies finally to \(3 x^{^{\frac{9}{2}}}y^{^{\frac{3}{2}}}\)

This is the last option for the multiple choice.

Writing linear equations given two points can be a useful skill when graphing linear equations.

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Given the expression:

The GCF of p^4 and p^3 = p^3

And the greatest common factor of 16 and 4 = 4

so,

So, the factors of the given expression will be:

Answer:

11bc²

Step-by-step explanation:

To find the other factor divide 33b³c² by 3b²

\(\frac{33b^3c^2}{3b^2}\)

= \(\frac{33}{3}\) × \(\frac{b^3}{b^2}\) × \(\frac{c^2}{1}\)

= 11bc²

Answer:

0.625 years = 7.5 months

Step-by-step explanation:

Simple interest formula = rxtxp divided by 100

R x T x P / 100 = 30

Substitute all the values we know

3.2 x T x 1500/100 = 30

Simplify and rearrange =

3.2 x T x 1500 = 3000

3.2 x T = 2

T = 2/3.2

T = 0.625

Answer: Scientific notations

1) 4.4822 x 10^10

2) 1.05 x 10^-5

3) 9.5 x 10^-4

4) 4.2035 x 10^5

5) 2 x 10^4

Step-by-step explanation:

Answer:

1. 4.4822 x 10^10

2. 1.05 x 10^-5

3. 9.5 • 10^-4

4. 4.2035 x 10^8

5. 2 x 10^4

6. 0.092 x 10^6

7. 0.5014 x 10^-3

8. 400 x 10^-14

9. 0.77 x 10^8

10. 0.0215 x 10^1

Since each canoe sells for $800 and has a variable unit expense of $400, the contribution margin per canoe is $400 ($800 selling price - $400 variable unit expense).
Using the contribution margin per canoe, we can calculate the number of canoes Tippy Canoe needs to sell to reach a revenue of $200,000:
$200,000 / $400 contribution margin per canoe = 500 canoes
Therefore, Tippy Canoe needs to sell 500 canoes to make a $150,000 profit.

To calculate the number of canoes Tippy Canoe needs to sell to make a $150,000 profit, we'll use the formula: Profit = (Selling Price - Variable Expense) × Number of Canoes - Fixed Expenses.

Since each canoe sells for $800 and has a variable unit expense of $400, the contribution margin per canoe is $400 ($800 selling price - $400 variable unit expense).
Using the contribution margin per canoe, we can calculate the number of canoes Tippy Canoe needs to sell to reach a revenue of $200,000:
Let's denote the number of canoes as "x." We want to find x in this equation:
$150,000 = ($800 - $400) × x - $50,000.

First, simplify the equation:
$150,000 = $400x - $50,000.

Now, add $50,000 to both sides of the equation:
$200,000 = $400x.

Finally, Using the contribution margin per canoe, we can calculate the number of canoes Tippy Canoe needs to sell to reach a revenue of $200,000:
And, divide both sides by $400 to find the value of x:
x = 500.
Tippy Canoe needs to sell 500 canoes to make a $150,000 profit.

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The points of intersection between the graphs of y = x³ + x² - 2x + 4 and y = 4x + 4 is 0 , 2 , -3

The point of intersection is the point where two lines , curves meet each other .

According to the question,

The equation of graph = y = x³ + x² - 2x + 4

equation of line = y = 4x + 4

The point of intersection between the graph and line will be

substituting the value of y

  4x + 4 = x³ + x² - 2x + 4

=> subtracting by 4 both sides

=> 4x = x³ + x² - 2x

=> x³ + x² - 6x = 0

Factorization,

=> x(x-2)(x + 3) = 0

=> x = 0 ,2 , -3

Hence , the points of intersection is 0 , 2 , -3

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The smallest number of students who go to one of the clubs in the stem and leaf diagram is 14 students.

A stem-and-leaf plot is a visualization scheme that can be used to show a set of numerical values. It functions as an efficient way to present the information by highlighting the big picture with the highest place value in one column (the stem) and the next lower place value in another (the leaf).

The smallest number on a stem and leaf plot is the number that is the first stem and the first leaf.

The first stem is 1 and the first leaf is 4 which means that the smallest number of students going to one club is 14 students.

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Answer:

-3,2

Step-by-step explanation:

just flip the minus and plus

Answer:

-3,2

Step-by-step explanation:

you just rotate it 180 degrees on counterclockwise and it land on area 4

The ordered pairs that are solutions to the inequality are:

(-3, 3), (0, -1), and (2, 4).

Option A, B, and C are the correct answer.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal =

Greater than and equal=

We have,

3x - 2y ≤ 6

We will check for the following options.

(-3, 3) = (x, y)

3 x (-3) - 2 x 3 ≤ 6

-9 - 6 ≤ 6

-15 ≤ 6

This is true.

(0, -1) = (x, y)

3 x 0 - 2 x (-1) ≤ 6

0 + 2 ≤ 6

2 ≤ 6

This is true.

(2, 4) = (x, y)

3 x 2 - 2 x 4 ≤ 6

6 - 8 ≤ 6

-2 ≤ 6

This is true.

(3, 0) - (x, y)

3 x 3 - 2 x 0 ≤ 6

9 - 0 ≤ 6

9 ≤ 6

This is not true.

Thus,

The ordered pairs that are solutions to the inequality are:

(-3, 3), (0, -1), and (2, 4).

Option A, B, and C are the correct answer.

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Answer:

The answer for the Area of the shape is

1357in²

Step-by-step explanation:

cut the shape into rectangle and another rectangle

then,Area of the shape =Area of small rectangle +Area of big Rectangle)

A=L×B+L×B

A=25×1015×75

A=250+1125

A=1357in²

Answer:

apply distance formula

\( \sqrt{ {(5 - 2)}^{2} + {(1 - 5)}^{2} } \)

u get

\( \sqrt{9 + 16} \)

which is

\( \sqrt{25} \)

which is 5

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Answer I think

:randomly survey six grade students in the school cafeteria

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Randomly surveying 6th graders in the school cafeteria would give jacob valid results because A wouldn't be reliable, because he just wants 6th graders, and B and D would be selective as it would be inside a football store, implying that most 6th graders in there would be tending towards football, and D would be inside a tennis shop, which would imply that most 6th graders there would prefer football. Therefore, the cafeteria would yield the most reliable results.

Answer:

0.6778 to 4 dec. places.

Step-by-step explanation:

That is  387 / (184+387)

= 387 / 571

= 0.677758

Answer:

The square root of 37 is approximately 6.0827. To determine which two integers it lies between, we can find the integers that are closest to the square root of 37.

The integer that is smaller than 6.0827 is 6, and the integer that is larger than 6.0827 is 7.

Therefore, the square root of 37 is between the integers 6 and 7.

Answer:

For the first problem the answer is x=4

The second Problem the answer is no solutions

Step-by-step explanation:

7x−(3x+5)−8=1/2 (8x+20)−7x+5

7x+−3x+−5+−8=1/2(8x) +(1/2) (20)+−7x+5(Distribute)

7x+−3x+−5+−8=4x+10+−7x+5

(7x+−3x)+(−5+−8)=(4x+−7x)+(10+5)(Combine Like Terms)

4x+−13=−3x+15

4x−13=−3x+15

Step 2: Add 3x to both sides.

4x−13+3x=−3x+15+3x

7x−13=15

Add 13 to both sides.

7x−13+13=15+13

7x=28 Divide both sides by 7.

x=4

5(3x+4) -2x = 7x -3(-2x+11)​

Simplify both sides of the equation.

5(3x+4)−2x=7x−3(−2x+11)

(5)(3x)+(5)(4)+−2x=7x+(−3)(−2x)+(−3)(11)(Distribute)

15x+20+−2x=7x+6x+−33

(15x+−2x)+(20)=(7x+6x)+(−33)(Combine Like Terms)

13x+20=13x+−33

13x+20=13x−33

Subtract 13x from both sides.

13x+20−13x=13x−33−13x

20=−33

Step 3: Subtract 20 from both sides.

20−20=−33−20

0=−53

There are no solutions.

Answer:

Step-by-step explanation:

7x-(3x+5)-8 = (1/2)*(8x+20) -7x +5

1. Distributive Property

7x - 3x - 5 - 8 = 4x + 20 - 7x + 5

2. Combine like terms

4x -13 = -3x + 25

3. Add 13 on both sides

4x -13 + 13 = -3x + 25 + 13

4x = -3x + 38

4. Add 3x on both sides

4x + 3x = -3x + 3x + 38

7x = 38

5. Divide by 7 on both sides

7x / 7= 38 / 7

x = 5.428571428571429

or

x = 5.4

__________________________________________________________

5(3x+4) -2x = 7x -3(-2x+11)​

1. Distributive Property

15x + 20 - 2x = 7x + 6x - 33

2. Combine like terms

13x + 20 = 13x - 33

3. Subtract 20 on both sides

13x + 20 - 20 = 13x - 33 - 20

13x = 13x - 53

4. Subtract 13x on both sides

13x - 13x = 13x - 13x - 53

0 = -53 ( there is no answer for x)

Hope this helped!!!!

Answer:

yes, after 7 weeks they will have the same amount of money. 46 dollars.

Step-by-step explanation:

First start of by writing an expression to represent this problem

11 + 5x = 60 - 2x

combine like terms. and find value of x.

subtract 11 from the 60

5x = 49 - 2x

move the 2x over to the other side. So + 2x

7x = 49

divide 7 from 49

49/7

x = 7

x=7 amount of weeks they will have the same amount of money

The length of the longest chord of the circle is obtained to be 16.

What is a circle?

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle has rotational symmetry around the centre.

We can use the fact that the length of an intercepted chord of a given angle in a circle is related to the radius of the circle by the following formula -

intercepted chord length = 2 × radius × sin(angle/2)

where angle is measured in radians.

Since the intercepted chord of a 60 degree angle is given as 4, we can write -

4 = 2 × radius × sin(60/2)

Simplifying, we get -

4 = radius × 1/2

radius = 8

To find the length of the longest chord, we need to find the diameter of the circle, since the longest chord passes through the center of the circle and is therefore equal to the diameter.

The diameter is simply twice the radius, so we have -

diameter = 2 × radius

= 2 × 8

= 16

Therefore, the length of the longest chord of the circle is equal to the diameter, which is 16.

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Answer:

  triangle angle sum theorem

Step-by-step explanation:

The missing statement is one that justifies the sum of the angles in a triangle being 180°.

That justification is provided by the ...

  triangle angle sum theorem

We know that

So, we can see that g(x) is f(x) reflected in the x-axis. But, it has another change which is a downward movement in 3 units.

So, we can deduce that

Sketch of the situation:

When you reflect f(x) in the x-axis, you obtain something like -f(x).

We can see that -f(x) intersect the y-axis in -1. But, g(x) intersect the y-axis in -4.

So, we need to move the function 3 units down. Whe we make the movement the graph will intersect the y-axis in -4 because -1-3=-4.

Answer:

Step-by-step explanation:

If the coins are identical and not numbered, we need to find the number of patterns.

There are 4 rows and 4 columns. One cell remains empty in each row.

There are 4 options for the first row, 3 options for the second row, 2 options for the third row and 1 option for the fourth row.

The number of options reduces to avoid more than 1 empty cell in each row or column.

Number of options is:

_________

\( \: \)

4rows, and 4columns.

Soo :

= 4!

= 4 × (4 - 1) × (4 - 2) × (4 - 3)

= 4 × 3 × 2 × 1

= 24

Answer:

A=(b^2)h/2

Step-by-step explanation:

The z-score of an appliance that stopped working at 64 months is 2.

The mean of observations is equal to the ratio of sum of all the observations and the number of observations.

Given, the set of life spans of an appliance is normally distributed with a mean mu = 48 months and a standard deviation sigma = 8 months

The z-score is then calculated as

z = x - μ /σ

For an appliance that stopped working at 64 months, we have

x = 64

On substituting the values, we get

z = 64-48/8

z = 2

Hence, the z-score of an appliance that stopped working at 64 months is 2

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Answer:

D on edge

Step-by-step explanation:

2

The 90% confidence interval for bmi is:  (27.998, 28.302)

The correct answer is an option (d) (27.97, 28.33)

We know that the formula for the confidencce interval is,

CI = \((\bar{x}\pm z\frac{s}{\sqrt{n} })\)

where, Ci is the confidence interval

\(\bar{x}\) is the sample mean

z is the confidence level value

s = sample standard deviation

n = sample size

Here we need to find 90% confidence interval for bmi in a sample of 3,326 adults, the mean bmi was 28.15 and the sample standard deviation was 5.32

n = 3326,  \(\bar{x}\)  = 28.15 and σ = 5.32

We know that 1 - α = confidence interval

1 - α = 0.90

so, α = 0.10

α/2 = 0.05

And from the standard normal table \(z_{\alpha /2}\) = 1.64

Using above formula of confidence interval,

CI = \((28.15 \pm 1.64\frac{5.32}{\sqrt{3326} } )\)

CI = (28.15 ±0.152)

CI = (27.998, 28.302)

Therefore, the correct answer is an option (d) (27.97, 28.33)

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Answer:

150000

Step-by-step explanation:

i use cal

A level of confidence of 95% was used in the case above. A table at the back of a statistics textbook can be used to get the value of z* for a certain confidence level. For a 95% confidence level, the value of z* is 1.96.

 An error margin of 3.92 is discovered when the value of z*, the demographic standard error, and the sample size are entered into the equation.

Statistical Estimation's Justification

Where does the confidence interval calculation formula come from?

The population mean's true value is never known; it can only ever be estimated or approximated. The easiest way of doing this is to choose many identical-sized random samples from the population.

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