The number 52m is a perfect cube. Find the smallest positive integer value of m.

F(prime) = 30

Given the information in the question, we can calculate \(F^{\prime}(2)\) using the chain rule. The chain rule states that \(F^{\prime}(x) = f^{\prime}(g(x))\cdot g^{\prime}(x)\). Thus, \(F^{\prime}(2) = f^{\prime}(-5)\cdot g^{\prime}(2)\). Plugging in the given values, we get \(F^{\prime}(2) = 6 \cdot 5 = 30\). Therefore, \(F^{\prime}(2) = 30\).

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In order to answer these questions, we need to have data on Mr. Reede's laptimes. Without this information, it is impossible to accurately calculate the proportions and laptime necessary for Mr. Reede to be in the fastest 3% of all his laps. Please provide the data so that we can accurately answer the questions.

Once we have the data, we can use the following steps to answer the questions:

1. To find the proportion of laptimes between 1.75 and 1.85 minutes, we can count the number of laptimes in this range and divide it by the total number of laptimes.
2. To find the proportion of laptimes that took more than 2 minutes, we can count the number of laptimes that took more than 2 minutes and divide it by the total number of laptimes.
3. To find the laptime necessary for Mr. Reede to be in the fastest 3% of all his laps, we can first calculate the 97th percentile of the data (since the fastest 3% of laptimes would be in the top 3% of the data). Then, we can find the laptime that corresponds to this percentile.
4. To redo the problems using the Applet, we can input the data into the Applet and use the built-in functions to calculate the proportions and percentile.

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Answer:

12(a) 4(x+19)=752 (b) 169

Step-by-step explanation:

12(a) 4(x+19)=752

   (b) 4(x+19)=752

        4x+76=752

               4x=676

                 x=169

a. The equation representing the situation is 4(x+19)=752

b. The price of one ticket is $169

It is important to note that algebraic expressions are defined as expressions consisting of terms, coefficients, constants, factors and variables

They are also made up of mathematical operations are;

From the information given, we have that;

Let x be the price ticket

This is then represented as;

4(x+19)=752

expand

4x + 76 = 752

collect the like terms

4x = 676

Divide by the coefficient

x = $169

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Answer:

Step-by-step explanation:

The altitude of an equilateral triangle is basically the height of the triangle. We can find this using trigonometry, even though I'm sure there's a beautiful little formula that can find this.

If you cut an equilateral triangle in half, you get two special 30-60-90 triangles. The base of each triangle is 3.5 cm in length, and the height (not the hypotenuse!) is equal to:

[tex]base*\sqrt{3}[/tex]

So basically we have 3.5(sqrt(3)), or our altitude! Wow, how easy!

[tex]3.5(\sqrt{3})=6.06[/tex]

Hope this helps!

78 ft is the value of x in Triangles.

What is a triangle and what are its types?

Triangles are three-sided shapes. The various triangle varieties go under various names. The size of the angles and side lengths determine what kind of triangle it is (corners).

                         According on how long their sides are, triangles can be classified as equilateral, isosceles, or scalene.

Sin45° = x/110

  1/√2 = x/110

  √2 x  = 110

       x = 110/√2

       x = 77.78

        x = 78 ft

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To find the quotient of x^2 + 4x - 32 when divided by x + 8, we can use polynomial long division or synthetic division. Here's how to do it using polynomial long division:

    x - 4

____________

To find the quotient of x^2 + 4x - 32 when divided by x + 8, we can use polynomial long division or synthetic division. Here's how to do it using polynomial long division:

markdown

Copy code

    x - 4

____________

x + 8 | x^2 + 4x - 32

- (x^2 + 8x)

____________

-4x - 32

- ( -4x - 32 )

____________

0

Therefore, the quotient is x - 4.

Answer:

9

Step-by-step explanation:

5'4 to 6'0 is 8

6'0 to 6'1 is 9

i think im right i dont use inches tho

The height difference between 5’4 and 6’1 is 9 inches.

Measurement is the method of comparing the properties of a quantity or object using a standard quantity.

Measurement is essential to determine the quantity of any object.

There are two heights given.

5’4 and 6’1.

5'4 means that 5 feet and 4 inches.

1 feet = 12 inches

5 feet = 60 inches

5'4 = 60 inches + 4 inches = 64 inches

Similarly,

6'1 = 6 feet + 1 inch

    = (6 × 12) inches + 1 inch

    = 73 inches

Height difference = 73 inches - 64 inches = 9 inches

Hence the height difference is 9 inches.

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1. The Formula used SA = 2w (l +h) + lh

2. The box is 0.37125 inch deep.

3. The SA of box with lid is 294.7972 inch².

The area is the territory covered by a shape or figure, whereas the perimeter is the distance covered by the shape's outside boundary. The unit of area is the square unit or unit², while the unit of perimeter is the unit.

Given:

length = 13.2 inch

Height = 10.5 inch

And, Surface Area used = 295.02 inch²

Using the Formula

SA = 2lw + 2wh + lh

SA = 2w (l +h) + lh

295. 02 = 2w ( 13.2 + 10.5) + (13.2)(10.5)

147.51 = w x 24 + 138.6

8.91 = 24w

w = 0.37125 inch

SA of box with lid

= 2( lw+ wh + lh)

= 2( 13.2 x 10.5 + 10.5 x 0.37125 + 0.37125 x 13.2)

= 2(138.6 + 3.8981 + 4.9005)

= 2 x 147.3986

= 294.7972 inch²

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Answer:

1 3/4

Step-by-step explanation:

To turn 7/4 into a mixed number, you have to look at the numerator and the denominator. 4 can go into 7 once (with 3 left over), so it would be 1 and 3/4

The height of the plane is modeled by the linear equation:

height = 3000ft - 2000ft*t

If the rate at which the plane descends is constant, then the height is modeled by a linear equation.

We can write:

height = initial height - rate*time

We know that the initial height is 3000ft, and that the plane descends at ar ate of 2,000ft per minute, then we can write the linear equation:

height = 3000ft - 2000ft*t

Where t is the time in minutes.

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Complete question:

"an airplane 3,000 ft above the ground begin descending at a rate of 2,000 ft per minute​, which will be the height of the plane after t minutes?"

Using a graphing calculator or algebraic methods, we can find that x ≈ 71.6. Therefore, the model projects the civilian labor force to be 152 million in the year 1950 + 71.6 = 2021.6, or approximately in the year 2022.

According to the given model, the size of the civilian labor force (in millions) for selected years from 1950 and projected to 2050 can be modeled by y = - 0.0001 x^3 + 0.0058 x^2 + 1.43x + 56.7, where x is the number of years after 1950.

To find the projected civilian labor force in 2013, we need to plug in the value of x as 2013-1950 = 63 into the given model:

y = - 0.0001 (63)^3 + 0.0058 (63)^2 + 1.43(63) + 56.7
y = - 0.0001 (250047) + 0.0058 (3969) + 90.09 + 56.7
y = - 25.0047 + 23.0002 + 90.09 + 56.7
y = 144.7855

Therefore, the model projects the civilian labor force to be approximately 144.7855 million in 2013.

To find the year when the model projects the civilian labor force to be 152 million, we need to set y = 152 and solve for x:

152 = - 0.0001 x^3 + 0.0058 x^2 + 1.43x + 56.7
0 = - 0.0001 x^3 + 0.0058 x^2 + 1.43x - 95.3

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The probability that the first sister wins the first prize, the second sister wins the second prize, and the third sister wins the third prize is given as follows:

1/1320.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes.

The probabilities for each sister are given as follows:

Hence the probability is given as follows:

1/12 x 1/11 x 1/10 = 1/(12 x 11 x 10) = 1/1320.

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The measure of the two angles is x = 69 degrees and y = 70 degrees.

In every triangle, the total of the angles is 180 degrees. The Triangle Sum Theorem.

For triangle ABC it is given as follows:

Angle A + Angle B + Angle C = 180.

Let us suppose the measure of two angles as x and y.

According to the ratio we can write as follows:

x = 6k and y = 7k

The sum of the angles in a triangle is 180°, so we can write:

50° + 6k + 7k = 180°

13k + 50° = 180°

13k = 130°

k = 10°

Substituting the value of k in x and y we have:

x = 6k = 6(10°) = 60°

y = 7k = 7(10°) = 70°

Hence, the measure of the two angles is x = 69 degrees and y = 70 degrees.

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1.  Based on the given stock-out level, the corresponding Z-value is 1.96. 2. The safety stock level is 12. 3. The pharmacy store should place orders when the inventory level drops to 332 bottles. 4. The pharmacy store changing the stock-out probability to 4%, should place orders when the inventory level drops to 331 bottles.

1. The corresponding Z-value for a stock-out level of 2.5% is 1.96. This can be found by looking at a standard normal table or using a Z-value calculator.

2. The safety stock level can be calculated using the formula:

Safety stock = Z-value * standard deviation of lead time demand.

In this case, the standard deviation of lead time demand is the square root of the variance, or 6 bottles. So the safety stock level is:

= 1.96 * 6 = 11.76

which should be rounded up to the next whole number, or 12 bottles.

3. The pharmacy store should place orders when the inventory level drops to the reorder point, which is calculated using the formula:

Reorder point = Lead time demand + Safety stock.

In this case, the lead time demand is 16 days * 20 bottles/day = 320 bottles.

So the reorder point is 320 + 12 = 332 bottles.

Therefore, the pharmacy store should place orders when the inventory level drops to 332 bottles.

4. If the pharmacy store wants to change the stock-out probability to 4%, the corresponding Z-value is 1.75. Using the same formula as before, the safety stock level is:

= 1.75 * 6 = 10.5, which should be rounded up to the next whole number, or 11 bottles.

The reorder point is then 320 + 11 = 331 bottles. Therefore, the pharmacy store should place orders when the inventory level drops to 331 bottles.

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The surface area of the cylinder would be SA = 2π(1.6)² + 3.2π(3.8) square feet.

Option (A) is correct.

What is the surface area of the cylinder?

The surface area of a cylinder can be calculated using the following formula:

SA = 2πr² + 2πrh

where r is the radius of the circular base of the cylinder, h is the height of the cylinder, and π is the mathematical constant pi, approximately equal to 3.14159.

The surface area of a cylinder is the sum of the areas of its top and bottom circles, plus the area of its lateral surface (the curved surface that connects the two circles). The lateral surface area of a cylinder is found by multiplying the height of the cylinder by the circumference of one of its circular bases. Therefore, the correct method to calculate the surface area of the cylinder with diameter labeled 3.2 feet and height labeled 3.8 feet is:

SA = 2π(1.6)² + 3.2π(3.8)

So, the correct answer is:

SA = 2π(1.6)² + 3.2π(3.8) square feet

Hence, the surface area of the cylinder would be SA = 2π(1.6)² + 3.2π(3.8) square feet.

Option (A) is correct.

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The multiplication expression will be (9*3+1)/3.

What exactly are expressions?

In mathematics, an expression is a combination of one or more numbers, variables, and/or mathematical operations (such as addition, subtraction, multiplication, division, exponentiation, and logarithms) that can be evaluated to produce a single numerical or algebraic value.

Expressions can be very simple, such as a single number or variable, or they can be more complex, involving multiple variables and operations. They can also include mathematical functions and constants, such as pi or the square root of a number.

Here are some examples of expressions in mathematics:

Now,

We have expression 9 1/3

and to change it to simple fraction

we do this 9*3+1/3

=27+1/3

=28/3

Hence,

           The multiplication expression will be (9*3+1)/3.

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The solution to the system of equations is (5.56, -4.73).

To solve the system of equations by the addition method, we need to follow these steps:

Step 1: Multiply one or both of the equations by a constant to make the coefficients of one of the variables the same in both equations.
Step 2: Add the two equations together to eliminate one of the variables.
Step 3: Solve for the remaining variable.
Step 4: Substitute the value of the variable back into one of the original equations to find the value of the other variable.

Let's apply these steps to the given system:

-2x - 7y = 22
7x - 4y = -20

Step 1: Multiply the first equation by 7 and the second equation by -2 to make the coefficients of x the same:

-14x - 49y = 154
-14x + 8y = 40

Step 2: Add the two equations together to eliminate x:

-41y = 194

Step 3: Solve for y:

y = 194/(-41)
y = -4.73

Step 4: Substitute the value of y back into one of the original equations to find the value of x:

-2x - 7(-4.73) = 22
-2x + 33.11 = 22
-2x = -11.11
x = 5.56

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To find the exact value of s in the given interval that has the given circular function value, we can use the properties of the tangent function and the unit circle.

The tangent function is defined as the ratio of the opposite side to the adjacent side in a right triangle. In the unit circle, the opposite side is the y-coordinate and the adjacent side is the x-coordinate. Therefore, we can write:

tan s = y/x

Given that tan s = √3, we can write:

√3 = y/x

Cross-multiplying and simplifying, we get:

y = √3x

Now, we can use the Pythagorean theorem to find the value of x:

x^2 + y^2 = 1

Substituting y = √3x, we get:

x^2 + ( √3x)^2 = 1

Simplifying, we get:

4x^2 = 1

Dividing by 4, we get:

x^2 = 1/4

Taking the square root of both sides, we get:

x = ±1/2

Since we are looking for the value of s in the interval [????, 3????/2], we need to find the corresponding value of y for x = 1/2. Substituting x = 1/2 into y = √3x, we get:

y = √3(1/2)

Simplifying, we get:

y = √3/2

Therefore, the point on the unit circle that corresponds to the given value of the tangent function is (1/2, √3/2).

Now, we can use the properties of the unit circle to find the value of s. The angle s is the angle between the positive x-axis and the line connecting the origin and the point (1/2, √3/2). Since the point (1/2, √3/2) is in the first quadrant and the angle is measured counterclockwise, the value of s is:

s = π/3

Therefore, the exact value of s in the given interval that has the given circular function value is π/3.

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Answer: It is not possible to use only translations and dilations to map one circle to another unless the two circles are identical in size and shape.

A translation is a transformation that moves an object without changing its size, shape, or orientation. It involves moving every point on the object the same distance in the same direction. Since a circle is defined by all the points that are equidistant from its center, a translation will simply move the entire circle in the same direction, but will not change its size or shape.

A dilation is a transformation that changes the size of an object, but not its shape or orientation. It involves multiplying the distance of every point on the object from a fixed center point by a scale factor. While a dilation can change the size of a circle, it will also change the distance between points on the circle, and thus change its shape.

Therefore, if the two circles are not identical in size and shape, it would be necessary to use other transformations, such as rotations or reflections, to map one circle to the other.

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

Twenty Six, perhaps?

The answer to the question "(1) 42mod11" is 9.

The answer to the question "Modular Arithmetic: Please solve the following questions. (1) 42mod11" is:

The concept of "Modular Arithmetic" is a system of arithmetic that involves only integers. In modular arithmetic, numbers "wrap around" after they reach a certain value called the modulus.

To solve the given question, we can use the following steps:

Step 1: Find the modulus of the given number. In this case, the modulus is 11.

Step 2: Divide the given number by the modulus. In this case, 42/11 = 3 with a remainder of 9.

Step 3: The remainder is the answer to the question. So, 42mod11 = 9.

Therefore, the answer to the question "(1) 42mod11" is 9.

I hope this answer helps you! If you have any further questions, feel free to ask.

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The probability distribution function of Y = |X| is given by:
P(Y ≤ y) = P(|X| ≤ y) = P(-y ≤ X ≤ y) = P(X ≤ y) - P(X < -y)

Since X ~ N(0, 2), we can use the standard normal distribution to find the probabilities:
P(X ≤ y) = Φ(y/√2)
P(X < -y) = Φ(-y/√2)

Therefore, the probability distribution function of Y is:
P(Y ≤ y) = Φ(y/√2) - Φ(-y/√2)

To find E(|X|) and Var(|X|), we can use the properties of the absolute value function:
E(|X|) = ∫_(-∞)^(∞) |x| f(x) dx = 2 ∫_(0)^(∞) x f(x) dx
Var(|X|) = E(|X|^2) - (E(|X|))^2 = 2 ∫_(0)^(∞) x^2 f(x) dx - (2 ∫_(0)^(∞) x f(x) dx)^2

Since f(x) is the probability density function of X, we can substitute it with the standard normal distribution:
f(x) = (1/√(2π)) e^(-(x^2)/4)

Therefore, E(|X|) and Var(|X|) can be found by evaluating the integrals:
E(|X|) = 2 ∫_(0)^(∞) x (1/√(2π)) e^(-(x^2)/4) dx = √(2/π)
Var(|X|) = 2 ∫_(0)^(∞) x^2 (1/√(2π)) e^(-(x^2)/4) dx - (√(2/π))^2 = 2 - (2/π)

So the final answers are:
1. E(|X|) = √(2/π)
2. Var(|X|) = 2 - (2/π)

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Therefore , the solution of the given problem of probability comes out to be roughly 0.2667, or 26.67%.

The primary goal of the schemes within a technique known as criteria is the evaluation of the likelihood that a claim is accurate or that a specific event will occur. Any figure between 0 and 1, with 0 typically signifying probability and 1 typically signifying a degree of certainty, can represent chance. A probability diagram shows the chance that a specific event will occur.

Here,

We can use combinations and probability to fix this issue.

First, we can determine how many different methods there are to choose 2 individuals from a group of 15:

=>  C(15,2) = 105 is the total number of options.

Next, we can determine how many options there are to choose two women from a group of eight women:

There are 28 different methods to choose 2 women, or

=>  C(8,2).

The likelihood that the two selected to respond to queries will both be women is as follows:

P(both women) equals the variety of methods to choose two women (total number of ways)

=>  P(all females) = 28/105

=> P(all females) = 0.2667

The likelihood that both of the two people selected to respond to questions are women is therefore roughly 0.2667, or 26.67%.

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If the two rates remain the same, the number of hours needed for the values of the two stocks to be equal is 2.17 hours.

The slope, rate of change, or change in throughout the change in of a line determines its rate of change. A graph's slope triangle or 2 points in a column can be used to compute the slope.

Let 'x' be the time taken by each stock to reach at same value.

Then,

13.45 + 0.07x = 13.95 - 0.16x

13.45 - 13.95 = -0.16x - 0.07x

x = 0.5/0.23

x = 2.17 hours

If the two rates remain the same, the number of hours needed for the values of the two stocks to be equal is 2.17 hours.

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The answer is an ordered pair (x,y)=(-7,2).

To solve the system of equations, we can use the elimination method to eliminate one of the variables and solve for the other.

First, let's multiply the first equation by 2 so that we can eliminate the y variable:

{20x+10y=−120

Next, let's subtract the second equation from the first:

{20x+10y−(20x−10y)==−120−(−80)

Simplifying the equation gives us:

{20y=40

Dividing both sides by 20 gives us:

{y=2

Now, let's plug this value of y back into the first equation to solve for x:

{10x+5(2)==−60

Simplifying the equation gives us:

{10x+10=−60

Subtracting 10 from both sides gives us:

{10x=−70

Dividing both sides by 10 gives us:

{x=−7

So, the solution to the system of equations is the ordered pair (x,y)=(−7,2).

Therefore, the answer is an ordered pair (x,y)=(-7,2).

I hope this helps! Let me know if you have any further questions.

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Answer:

こんにちは

Step-by-step explanation:

2. 答えは2.5

次の番号 3 の場合は 6.9 次の番号は 4 の場合は 5.6

Step-by-step explanation:

a=55 because

75+50+a=180 (Sum of angle in a stratight line)

or, 125+a=180

or, a=180-125

a=55

b=75 because they are alternate angles

c=50 because they are alternate angles

d=50 Because d=c(vertically opposite angle) and c=50

well, for the cosine of G we'll need the hypotenuse GH, so let's get it, Check the picture below.

[tex]\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ c^2=a^2+o^2\implies c=\sqrt{a^2 + o^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{GH}\\ a=\stackrel{adjacent}{\sqrt{6}}\\ o=\stackrel{opposite}{1} \end{cases} \\\\\\ GH=\sqrt{ (\sqrt{6})^2 + 1^2}\implies GH=\sqrt{ 6 + 1 } \implies GH=\sqrt{ 7 } \\\\[-0.35em] ~\dotfill[/tex]

[tex]\cos(G )=\cfrac{\stackrel{adjacent}{\sqrt{6}}}{\underset{hypotenuse}{\sqrt{7}}}\implies \cos(G )=\cfrac{\sqrt{6}}{\sqrt{7}}\cdot \cfrac{\sqrt{7}}{\sqrt{7}}\implies \cos(G )=\cfrac{\sqrt{42}}{7}[/tex]