Arturo, Pedro y Jorge son hermanos y duermen en la misma habitación. Su padre compró pintura para que entre los tres pinten su cuarto. Arturo como es el más grande tiene que pintar 1/2 , Pedro y Jorge se dividen en partes iguales lo que falta pintar. ¿Qué fracción de la habitación pintará Pedro? ¿Y Jorge? Explica cómo llegaste a ese resultado.

Step-by-step explanation:

To differentiate the function f(x) = 1/x^3, we can use the power rule of differentiation. Here's the step-by-step process:

Write the function: f(x) = 1/x^3.

Apply the power rule: For a function of the form f(x) = x^n, the derivative is given by f'(x) = nx^(n-1).

Differentiate the function: In our case, n = -3, so the derivative is:

f'(x) = -3 * x^(-3-1) = -3 * x^(-4) = -3/x^4.

Therefore, the derivative of the function f(x) = 1/x^3 is f'(x) = -3/x^4.

Answer:

This is my answer↓:

Step-by-step explanation:

He school play sold $550 in tickets one night.

The number of $8 adult tickets was 10 less than twice the number of

$5 child tickets.

How many of each ticket were sold

Let say child ticket sold = x

Adult tickets was 10 less than twice the number of    child tickets.

=> Adult ticket sold = 2x - 10

Child ticket sold = x

$5 child tickets price

=> Revenue = 5x  $

Adult ticket sold = 2x - 10

$8 Adult tickets price

=> Revenue = 8(2x - 10) =16x - 80 $

5x + 16x - 80 = 550

=> 21x = 630

=> x = 30

Child ticket sold = 30

Adult ticket sold = 50

Total ticket sold = 80

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The slope of C and D in the picture shows that ΔPQR is a Right Triangle.

What is slope of line?

Slope of line is defined as the angle of line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂).

If the product of slopes of any two sides is equal to -1, then those two sides are perpendicular

Given,

The vertices of △PQR are at P(-2,5), Q(-1,1), and R(7,3).

Slope of PQ = (y₂ - y₁)/(x₂ -x₁ )

                    = (1 - 5)/(- 1 - (-2)

                    = -4/1

                    = - 4

Slope of QR = (y₂ - y₁)/(x₂ -x₁ )

                    = 3 -  1/7 - ( -1)

                    = - 1 / 4

The product of Slope of PQ and QR is  - 1. It means lines PQ and QR is perpendicular to each other consequently △PQR is a right triangle.

Therefore,The slope of C and D in the picture shows that ΔPQR is a Right Triangle.

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The linear function of the table are A and C.

If the rate of the change in the input to the change in the output is the same for every point in the table, then the table represents a linear function.

A linear function can be represented as follows:

y = mx + b

where

Therefore, the tables that are linear function are as follows:

Therefore, the linear function are A and C.

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the answer to your question is 104 degrees.

Answer:

5.4

Step-by-step explanation:

square of 29 = 5.385164807

5.385164807 estimated is 5.4

Answer:

\(Total = \$7800\)

Step-by-step explanation:

Given

\(Cost = \$32.50\) per square yard

\(Length = 432.0ft\)

\(Width = 5.0ft\)

Required

Determine the cost of carpet and installation

First, calculate the area of the carpet

\(Area = Length * Width\)

\(Area = 432.0ft * 5.0ft\)

\(Area = 2160ft^2\)

Convert to square yard

\(Area = \frac{2160yd^2}{9}\)

\(Area = 240yd^2\)

The cost is then calculated as:

\(Total= Area * Unit\ Cost\)

\(Total = 240 * \$32.50\)

\(Total = \$7800\)

Answer in screenshot.

When x = 6 and y = 9, the value of the expression (x + y)² is 225.

Given an expression:

(x + y)²

It is required to find the value of the expression when the value of x = 6 and the value of y = 9.

In order to find the required value of the expression when x = 6 and y = 9, it is required to substitute the value of x and y accordingly to the given expression.

So, substitute x = 6 and y = 9 in the expression (x + y)².

Then the expression becomes:

(x + y)² = (6 + 9)²

           = 15²

            = 225

Hence the value is 225.

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Answer:

-6

Step-by-step explanation:

The equation is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

The y intercept is the value when x = 0

The y value is -6 when the x value is 0

y = -4x+ (-6)

3a. An equation in slope-point for this line is y + 2 = 1/2(x - 0).

3b. The equation in slope-intercept form is y = 1/2(x) - 2.

4a. An equation in slope-point form to represent this function is y - 3875 = -1/695(x - 19375).

4b. The cost of operating a car that has been driven 31250 km is $3892.086.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

Part 3.

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (0 + 2)/(4 - 0)

Slope (m) = 1/2

At data point (0, -2) and a slope of 1/2, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y + 2 = 1/2(x - 0)

y = 1/2(x) - 2

Part 4a.

Based on the information provided about Jay's business, we would determine the slope of the line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (3900 - 3875)/(2000 - 19375)

Slope (m) = 25/-17375

Slope (m) = -1/695

At data point (19375, 3875) and a slope of -1/695, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 3875 = -1/695(x - 19375)

Part 4b.

For the cost when x = 31250 km, we have:

y - 3875 = -1/695(31250 - 19375)

y = 17.086 + 3875

y = $3892.086.

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Answer:

A triangle

Step-by-step explanation:

Entry ticket = $7

Gift shop money = $g

Maximum to spend = $30

Inequality => 7+g ≤ 30

Hope it helps!

Answer:

d. 35

Step-by-step explanation:

y = 35x + 40

The slope is 35 as 'm' is the slope of the equation

LMK IF IT WAS RIGHT!!

Answer:

D (35)

Step-by-step explanation:

Answer:

d. (x - 1)(2x + 3)(3x - 4)

Step-by-step explanation:

6x³ - 5x² - 13x + 12

6x³ + x² - 12x - 6x² - x + 12

x(6x² + x - 12) - 1(6x² + x - 12)

(x - 1)(6x² + x - 12)

(x - 1)(6x² + 9x - 8x - 12)

(x - 1)(3x(2x + 3) - 4(2x + 3))

(x - 1)(2x - 3)(3x - 4)

Answer:

( x - 1 )( 2x + 3 )( 3x - 4 )

Step-by-step explanation:

Hope this helps!

Answer:

19

Step-by-step explanation:

it is 1.9:1

10×1.9 is 19

Answer:

they will have to sample 60 machined metal parts

Step-by-step explanation:

Given that;

Margin of Error E = 6.74

at 90% Confidence Interval, z = 1.645  { from table }

Range R = maximum range - minimum range = 220 - 93 = 127

standard deviation σ = R / 4 = 127/4= 31.7500

How many machined metal parts would they have to sample n = ?

to get our sample size, we use the following formula

n = [ zσ / E ]²

we substitute in our values

n = [ 1.645 × 31.7500 / 6.74 ]²  

n = [ 52.2287 / 6.74 ]²  

n = [ 7.7490 ]²          

n = 60.047 ≈ 60  

Therefore, they will have to sample 60 machined metal parts

You can use the margin of error with the z value and standard deviation to get the result.

The number of metal machine parts would be 60.

The number of machined metal parts that have to be sampled.

Range = Max. value - min. value = 220 - 93 = 127

The standard deviation is approximately the quarter of the range of the distribution.

Thus, \(\sigma = 127 \div 4 = 31.75\)

For 90% confidence, the z value is 1.645 (from z tables)

Thus, from the formula for size of sample, we have:

\(n = (\dfrac{z\sigma}{E})^2 = (\dfrac{1.645 \times 31.75}{6.74})^2 = (7.749)^2 \approx 60\)

The number of metal machine parts would be 60.

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The moment of inertia for rotation about the z axis is  \(I & =\frac{a^2 M}{3}\).

A triangular prism of mass m, whose two ends are equilateral triangles.

Two ends are equal.

The xy plane with side 2a, is centered on the origin with its axis along the z axis.

Find the moment of inertia for rotation the z-axis.

It is divide into 4 triangles with side 'a' k one side is 3cm.

\($$\begin{aligned}& I_{\text {BiG }}=16 I_{\text {small }} . \\& I_{\text {BIG }}=4 I_{\text {small }}+P_{A T}\end{aligned}$$\)

It is fact that the big triangle is made up from four small triangles. connected with parallel axis theorem.

Now, we have to find the distance from the center of mas of small outer triangles to the origin. so, that it is PAT.

\($$\therefore z=2 \sqrt{x^2-\frac{a}{2} ^2}$$\)

\($$\begin{aligned}& =2 \sqrt{\left(\frac{a}{\sqrt{3}}\right)^2-\frac{a^2}{4}} \\& =2 \sqrt{\frac{a^2}{3}-\frac{a^2}{4}} \\I_{\text {Big }} & =\frac{\sqrt{3}}{3} a \cdot \\& \left.=4 I_{\text {small }}+3 m \frac{\sqrt{3}}{3} a\right)^2 \\I_{\text {Big }} & =4 I_{\text {small }}+\frac{3 m}{4} \frac{1}{3} a^2 \\& =\frac{a^2}{4}\end{aligned}$$\)

⇒ Now, by using the \($I_{\text {Big }}=I$\)

⇒\(I & =4\left(\frac{\sqrt{2}}{16}\right)+\frac{a^2 M}{4} \\\)

⇒\(4 I & =I+a^2 m\)

⇒\(4 I-I & =a^2 m \\\)

⇒\(3 I & =a^2 M . \\\)

⇒\(I \quad & =\frac{a^2 M}{3}\)

Therefore, the moment of inertia is \(I & =\frac{a^2 M}{3}\).

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The domain and the range of the function represented by the graph are [-2, 2) and (-4, 4]

In mathematics, the domain and range of a function are used to describe the set of possible input and output values of the function, respectively.

From the graph, we have the set of input values to be

Input = From -2 (closed circle) to 2 (open circle)

This means that the domain is

[-2, 2)

From the graph, we have the set of output values to be

Output = From -4 (open circle) to 4 (closed circle)

This means that the range is

(-4, 4]

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Answer: 88

The mode is the value that appears most frequently in a data set.

The mode of the given data set will be 88.

The mode is the value that appears most often in a set of data values.

We have,

Data set            100, 98, 95, 92, 88, 85, 80, 75.

Frequency           1,     2,   2,   4,   7,    3,   5,    1

So,

As mentioned in the statement above,

Mode is the value that appears most often in a set of data values.

So,

We can see from the given table

i.e.

Frequency of 88 is maximum,

So,

The mode of the given data is 88.

Hence, we can say that the mode of the given data set will be 88.

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Part B

What is the median recovery time?

Remember that

For a normal distribution, mean = median = mode

so

The median is 4 days

Part C

What is the Z-score for a patient that took 5.7 days to recover?

Remember that

z =(x - μ)/σ

where

μ=4 days

σ=1.6 days

X=5.7 days

substitute

z=(5.7-4)/1.6

z=1.0625

Part D

What is the probability of spending more than 4.5 days in recovery?

z =(x - μ)/σ

μ=4 days

σ=1.6 days

x=4.5 days

Find out z

z=(4.5-4)/1.6

z=0.3125

using a z-score table values

P(X>4.5)=0.3773

Part E

What is the probability of spending between 3.5 and 4.3 days in recovery?

For x=3.5 -------> z=(3.5-4)/1.6=-0.3125

For x=4.3 -----> z=(4.3-4)/1.6=0.1875

using a z-score table values

P(3.5 < X < 4.3)=0.1970

Part F

Remember that

If your score is in the 85th percentile, it means that 85% of the scores are below your score and 15% are above your score

using a z-score table values

the value of Z=1.036

Find out the value of x

1.036=(x-4)/1.6

solve for x

x=5.6576 days

Answer:

The order goes:

B

A

D

C

Step-by-step explanation:

Based on the clues joe has the least so he would be B

Terrell has the most so his would be A

Jimmy has half so he would be D

and Justin is C last option

Answer:

Clue 1:  1,4 = B

Clue 2: 1,6 = A

Clue 3: 2,4 = C

Clue 4 : 4,5 = D

The graphs have been correctly dragged to the table to show the image of the triangle after it is reflected over the x-axis, the y-axis, and the line y = x.

By applying a reflection over the x-axis to the coordinates of this triangle, we have the following coordinates of the image triangle;

(x, y)                →      (x, -y)

(1, -3)             →      (1, -(-3)) = (1, 3)

(3, -2)             →      (3, -(-2)) = (3, 2)

(4, -5)             →      (4, -(-5)) = (4, 5)

By applying a reflection over the y-axis to the coordinates of this triangle, we have the following coordinates of the image triangle;

(x, y)                →      (-x, y)

(1, -3)             →        (-1, -3)

(3, -2)             →      (-3, -2)

(4, -5)             →      (-4, -5)

By applying a reflection over the line y = x to the coordinates of this triangle, we have the following coordinates of the image triangle;

(x, y)                →      (y, x)

(1, -3)             →        (-3, 1)

(3, -2)             →      (-2, 3)

(4, -5)             →      (-5, 4)

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Answer:

Option D

Step-by-step explanation:

correct answer on edge :)

Answer:

D <3

Step-by-step explanation:

Answer:

The values of b that satisfy the equation are:

b = (2√3 - 3) / 2

b = (-2√3 - 3) / 2

In other words, b can take the values (2√3 - 3) / 2 or (-2√3 - 3) / 2.

Step-by-step explanation:

To find the values of b that satisfy the equation 3(2b + 3)² = 36, we can solve for b by following these steps:

1. Divide both sides of the equation by 3:

  (2b + 3)² = 12

2. Take the square root of both sides:

  √[(2b + 3)²] = √12

  Simplifying further:

  2b + 3 = ±√12

3. Subtract 3 from both sides:

  2b = ±√12 - 3

4. Divide both sides by 2:

  b = (±√12 - 3) / 2

  Simplifying further:

  b = (±√4 * √3 - 3) / 2

  b = (±2√3 - 3) / 2

Therefore, the values of b that satisfy the equation are:

b = (2√3 - 3) / 2

b = (-2√3 - 3) / 2

In other words, b can take the values (2√3 - 3) / 2 or (-2√3 - 3) / 2.

Answer:

B. $2.14

Step-by-step explanation:

Given that

The price of the five supermarkets would be $1.92, $2.01,

$1.89, $2.22, and $2.16

And, each supermarket would be increased by $0.10

So, the today mean price would be

= ($1.92 + $2.01 + $1.89 + $2.22 + $2.16 + $0.10 × 5) ÷ (5)

= $10.7 ÷ 5

= $2.14

Therefore the second option is correct

Answer: C

Step-by-step explanation:

Answer:

Step-by-step explanation:

11+20+4=35

11/35 red

20/35 or 4/7 yellow

4/35 blue

im stuck on the second sorry

Step-by-step explanation:

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