Which is equivalent to 3\8x

To calculate the volume of the steel pipe, we need to find the difference in the volumes of the outer and inner cylinders.

1) The volume of the outer cylinder:

The outer cylinder has a diameter of 36 mm, which corresponds to a radius of 18 mm or 0.018 meters. The length of the cylinder is given as 2 meters. Using the formula for the volume of a cylinder, V = πr^2h, we can calculate the volume as V_outer = π(0.018)^2 * 2.

2) The volume of the inner cylinder:

The inner cylinder has a diameter of 30 mm, which corresponds to a radius of 15 mm or 0.015 meters. Using the same formula, the volume of the inner cylinder is V_inner = π(0.015)^2 * 2.

To find the volume of the steel pipe, we subtract the volume of the inner cylinder from the volume of the outer cylinder:

V_steel_pipe = V_outer - V_inner.

Using a calculator, we can compute the values:

V_outer ≈ 0.0204 cubic meters,

V_inner ≈ 0.0141 cubic meters.

Subtracting V_inner from V_outer, we get:

V_steel_pipe ≈ 0.0204 - 0.0141 ≈ 0.0063 cubic meters.

Rounded to two decimal places, the volume of the steel pipe is approximately 0.0063 cubic meters. Therefore, the correct answer is 0.0063 cubic meters.

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The distribution of intelligence test scores in the general population forms a bell-shaped pattern is known as a normal distribution.

Normal distribution, also known as Gaussian distribution, is a continuous probability distribution used in statistics. The normal distribution has a bell-shaped curve that is symmetrical about the mean (average).The normal distribution has some important properties, including that its mean, median, and mode are equal.

Furthermore, the total area under the curve is 1. A normally distributed population is one in which the majority of the data is clustered around the mean, with fewer data points further from the mean. It is a common distribution for a variety of natural phenomena, and many statistical analyses depend on it.

The normal distribution plays a critical role in statistical hypothesis testing and other statistical analyses because of its properties, and it has numerous applications in science, engineering, and finance.

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The x intercept of f-1(x) is the y intercept of f(x). The y intercept of f-1(x) is the x intercept of f(x). A horizontal asymptote for f(x) produces a vertical asymptote for f-1(x). A vertical asymptote for f(x) produces a horizontal asymptote for f-1(x).

(2 1/2, 0)

f(x) = 2 1/2 - 3 1/3 * x

or

f(x) = 5/2 - (10/3)*x

f^-1(x) is the inverse of f(x), which is obtained replacing f(x) by x, and x by y, and solving for y, as follows:

x = 5/2 - (10/3)*y

(10/3)*y = 5/2 - x

y = (5/2)*(3/10) - x*(3/10)

y = (3/4) - (3/10)*x

f^-1(x) = (3/4) - (3/10)*x

at x-intercept, f^-1(x) = 0,

(3/4) - (3/10)*x = 0

(3/4) = (3/10)*x

x = (3/4)*(10/3)

x = 5/2 or 2 1/2

Val dove 2.5 times farther than her friend.

To represent the difference in depth between Val and her friend, we can subtract their respective depths. Val's depth is -119 feet, and her friend's depth is -34 feet.

The equation to represent the difference in depth is:

Val's depth - Friend's depth = Difference in depth.

(-119) - (-34) = Difference in depth.

To subtract a negative number, we can rewrite it as adding the positive counterpart:

(-119) + 34 = Difference in depth.

Now we can simplify the equation:

-85 = Difference in depth.

The result, -85, represents the difference in depth between Val and her friend. However, since the question asks for how many times farther Val dove compared to her friend, we need to express the result as a multiplication equation.

Let's represent the number of times farther Val dove compared to her friend as 'x'. We can set up the equation:

Difference in depth = x * Friend's depth.

-85 = x * (-34).

To solve for x, we divide both sides of the equation by -34:

-85 / -34 = x.

Simplifying the division:

2.5 ≈ x.

Therefore, Val dove approximately 2.5 times farther than her friend.

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The value of (f g)(x) is calculated and found as    \(\sqrt{16(3x^2-3x-5)^4}\\\).

To find (f g)(x), we need to substitute the expression for g(x) into the function f. This gives us

f(g(x)) = \(\sqrt{16(3x^2-3x-5)^4}\)

The expression inside the square root is the result of substituting 3x^2-3x-5 into g(x), and the exponent of 4 indicates that this result should be raised to the fourth power.

Therefore,

f(g(x)) = \(\sqrt{16(3x^2-3x-5)^4}\)

To find (f g)(x), we use the definition of function composition, which states that (f g)(x) is equal to f(g(x)). This means that we need to substitute the expression for g(x) into the function f, and then evaluate the resulting expression.

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Answer:

A major source of hydroelectric power: Niagara Falls.

A volcano that grew out of a cornfield in 1943: Paricutin.

A natural barrier to settling in the West: Rocky Mountains.

The highest mountain peak in North America: Mount McKinley.

Mark as brainliest...

Answer:

Step-by-step explanation:

x = 52°

Answer:A dot plot

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

If the ANOVA test is statistically significant, then we can determine which groups are different by means of the F statistic, which is defined by the ratio of the mean sum square to the average square error (none of the options are correct).

The ANOVA test can be defined as a strategy to assess when differences between two or even more groups and or populations in the same are statistically significant.

Moreover, the F statistic refers to the results of the ANOVA, which is used to show statistically significant differences between groups in the sample.

Therefore, with this data, we can see that the ANOVA test is used to determine when differences between groups in the sample are significant enough to explain a given working hypothesis, and it is associated with the F statistics.

Complete question:

Your ANOVA is statistically significant. How will you determine which groups are different?

Use planned or unplanned comparisons.

Look at what the means in each group are.

Conduct Levene's test.

None of the above

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Answer: The total change in yards for the two plays can be found by adding the yardage gained or lost on each play. In this case, the team lost 14 yards on the first play and then lost another 7 yards on the next play.

To find the total change in yards, we can add the yardage gained or lost on each play:

Total change = -14 yards - 7 yards

Simplifying this expression, we get:

Total change = -21 yards

Therefore, the integer that represents the total change in yards for the two plays is -21.

Step-by-step explanation:

Answer:

Answer= -4 hope it helps

The expressions that are equivalent to 8x - 24 is: all above. (see attachment).

Equivalent expressions are mathematical expressions that have the same value for all possible input values. For example, 2x and x+x are equivalent expressions because they both represent the same quantity, which is twice the value of x.

Equivalent expressions can often be simplified or transformed into a different form without changing their value.

Therefore we have:

8(x - 3) = 8x - 24

9(x - 3) - (x - 3) = 9x - 27 - x + 3

8x - 24 (combining like terms)

(5 + 3)x - 24 = 8x - 24

Therefore, the answer is: all above.

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Answer:

7

Step-by-step explanation:

13 exceeds - 1 by - 1 + 13 = 12, then

- 5 + 12 = 7

Answer:

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

13 exceeds - 1 by - 1 + 13 = 12, then

- 5 + 12 = 7

The maximum possible outcome for the given situation is 36.

The number of favorable events to all the events in an experiment is the ratio that makes up the probability formula. Theoretical probability, Experimental probability, and Axiomatic probability are the three categories into which probability can be divided.

Given, Ruby is designing a new board game and is trying to figure out all the possible outcomes. she flips a coin, rolls a fair die in the shape of a cube that has six sides labeled 1 to 6, and spins a spinner with three equal-sized sections labeled Walk, Run, Stop.

Since there are three things happening simultaneously and favorable moments will be chosen by all three.

Thus Maximum possible outcome = 2 * 6 * 3 = 36

Therefore, For the given situation, 36 outcomes are available in total.

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The value of K is 2.

Let's denote the scale factor as K. The surface area of a solid after dilation is directly proportional to the square of the scale factor.

We are given that the initial surface area of the solid is 50 units^2, and after dilation, the surface area becomes 200 units^2.

Using the formula for the surface area, we have:

Initial surface area * (scale factor)^2 = Final surface area

50 * K^2 = 200

Dividing both sides of the equation by 50:

K^2 = 200/50

K^2 = 4

Taking the square root of both sides:

K = √4

K = 2

Therefore, the value of K is 2.

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Answer:

1oz

Step-by-step explanation:

5% as a decimal is .05

.05 x 20= 1

Answer:

12/2

Step-by-step explanation:

The FV is $107 for the simple interest.

The formula to calculate simple interest is given as:

I = P × R × T

Where,I is the simple interest, P is the principal or initial amount, R is the rate of interest per annum, T is the time duration.

Formula to find FV:

FV = P + I = P + (P × R × T)

where,P is the principal amount, R is the rate of interest, T is the time duration, FV is the future value.

Given that P = $100, R = 7%, and T = 1 year, we can find the FV of the investment:

FV = 100 + (100 × 7% × 1) = 100 + 7 = $107

Therefore, the FV of $100 invested at 7% for one year (simple interest) is $107.

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The minimum cost of the container is $576, and the dimensions that minimize the cost are a width of 2 meters, length of 4 meters, and height of 2 meters.

To minimize the cost, we need to find the dimensions of the container that minimize the total cost, taking into account the cost of the base, sides, and lid.

Let's start by defining the dimensions of the rectangular container:

Let the width of the base be "w" meters.

The length of the base will be twice the width, so the length is "2w" meters.

The height of the container is "h" meters.

The volume of the container is given as 16 m³, so we can write the equation:

Volume = Length × Width × Height

16 = 2w × w × h

16 = 2w²h

w²h = 8 ----(Equation 1)

Now, let's find the cost of the base, sides, and lid.

Cost of the base:

The base is a rectangle with dimensions of length = 2w and width = w.

Area of the base = length × width

Area of the base = (2w) × w = 2w²

Cost of the base = Area of the base × Cost per m² = 2w² × $8 = 16w²

Cost of the sides and lid:

The container has two sides with dimensions of length = 2w and height = h.

The container has two sides with dimensions of width = w and height = h.

The container has a lid with dimensions of length = 2w and width = w.

Area of each side = length × height = 2w × h = 2wh

Area of each side = width × height = w × h

Area of the lid = length × width = 2w × w = 2w²

Total area of the sides and lid = 2(2wh) + 2(wh) + 2w² = 4wh + 2wh + 2w² = 6wh + 2w²

Cost of the sides and lid = Total area × Cost per m² = (6wh + 2w²) × $16 = 96wh + 32w²

Now, we need to express the cost in terms of one variable, either w or h, so we can find the minimum value. Since Equation 1 relates w, h, and the volume, we can express h in terms of w.

From Equation 1:

w²h = 8

h = 8/w²

Now, substitute h in the cost equation:

Cost = 16w² (cost of the base) + (96wh + 32w²) (cost of the sides and lid)

Cost = 16w² + 96w(8/w²) + 32w²

Cost = 16w² + 768/w + 32w²

Cost = 48w² + 768/w ----(Equation 2)

To find the minimum cost, we differentiate Equation 2 with respect to w and set it equal to zero:

d(Cost)/dw = 96w - 768/w² = 0

96w = 768/w²

w³ = 8

Taking the cube root of both sides:

w = 2

Substituting w = 2 back into Equation 1:

w²h = 8

(2)²h = 8

4h = 8

h = 2

Therefore, the dimensions of the container that minimize the cost are:

Width (w) = 2 meters

Length = 2w = 4 meters

Height (h) = 2 meters

The minimum cost can be found by substituting the values of w and h into Equation 2:

Cost = 48w² + 768/w

Cost = 48(2)² + 768/2

Cost = 48(4) + 384

Cost = 192 + 384

Cost = $576

So, the minimum cost of the container is $576, and the dimensions that minimize the cost are a width of 2 meters, length of 4 meters, and height of 2 meters.

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To find the volume V of the solid obtained by rotating the region bounded by the curves x = \(2 + (y - 5)^2\)and x = 11 about the x-axis using the method of cylindrical shells, we can follow these steps:

Determine the limits of integration. Since we are rotating about the x-axis, we need to find the x-values where the curves intersect. Set the two equations equal to each other and solve for y:

\(2 + (y - 5)^2 = 11\)

Simplifying, we get:

(y - 5)^2 = 9

Taking the square root, we have:

y - 5 = ±3

This gives us two values for y: y = 2 and y = 8. So the limits of integration for y are from 2 to 8.

In this case, the radius r is given by x (since we are rotating about the x-axis) and the height h is the difference between the x-values of the two curves at each y-value.

The radius r = x = 11 - (y - 5)^2, and the height h = 11 - (2 + (y - 5)^2). Therefore, the integral becomes:

V =\(∫(2π(11 - (y - 5)^2)(11 - (2 + (y - 5)^2)))dy\)

Evaluate the integral by integrating with respect to y over the given limits of integration:

V = \(∫[2π(11 - (y - 5)^2)(11 - (2 + (y - 5)^2))]\)dy from 2 to 8

After evaluating the integral, you will obtain the volume V of the solid.

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The determinant of the matrix D obtained by adding 4 times the third row to the second row of the 5x5 matrix A is 24.

Waht is the matrix?

A matrix is a rectangular array of numbers, symbols, or expressions arranged in rows and columns. In mathematics, matrices are used to represent and manipulate linear transformations, such as rotations, scalings, and shears, in a vector space.

The determinant of a matrix is a scalar value that represents the magnitude of the matrix and the change it induces in a vector space. The determinant of a matrix is a linear function of the rows or columns of the matrix, meaning that adding a multiple of one row (or column) to another row (or column) will multiply the determinant by the same scalar.

In this case, if we add 4 times the third row to the second row of the 5x5 matrix A, the determinant of the resulting matrix D will be multiplied by the scalar 4:

det(D) = 4 * det(A) = 4 * 6 = 24

Hence, the determinant of the matrix D obtained by adding 4 times the third row to the second row of the 5x5 matrix A is 24.

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Answer:

x = - \(\frac{6}{5}\) , x = - 1

Step-by-step explanation:

(x + 1)(5x + 6) = 0 ← in standard form

equate each factor to zero and solve for x

5x + 6 = 0 ( subtract 6 from both sides )

5x = - 6 ( divide both sides by 5 )

x = - \(\frac{6}{5}\)

or

x + 1 = 0 ( subtract 1 from both sides )

x = - 1

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

When the parabola has a y^2 term it opens horizontally. (Positive and negative values of y give the same value of x.)

When the parabola has an x^2 term it opens vertically. (Positive and negative values of x give the same value of y.)

The sign is negative when the opening is down or to the left.

__

The opening directions are shown in the attachment.

Answer:

look below

Step-by-step explanation:

i did it

To show that the square root of 18 is irrational using strong induction, we first establish the base case:

Base Case: We can observe that the square root of 18 is not an integer, so it is not a perfect square. Therefore, it is irrational.

Now, let's assume that for any positive integer k < 18, the square root of k is irrational. We will use strong induction to prove that the square root of 18 is irrational.

Inductive Step: Consider the integer n = 18. We need to show that the square root of 18 is irrational.

Assume, for the sake of contradiction, that the square root of 18 is rational. Then, it can be written in the form p/q, where p and q are positive integers with no common factors (except 1) and q is not equal to 0.

Squaring both sides, we have 18 = (p^2)/(q^2), which can be rearranged as 18q^2 = p^2.

Now, we see that p^2 is a multiple of 18, which means p^2 is divisible by 3. This implies that p is also divisible by 3.

Let p = 3k, where k is a positive integer. Substituting this back into the equation, we have 18q^2 = (3k)^2, which simplifies to 6q^2 = 3k^2.

Dividing both sides by 3, we get 2q^2 = k^2. This means k^2 is even, and consequently, k is also even.

Let k = 2m, where m is a positive integer. Substituting this back into the equation, we have 2q^2 = (2m)^2, which further simplifies to q^2 = 2m^2.

Now, we see that q^2 is also even, and therefore, q is even.

However, both p and q are even, which contradicts our assumption that p/q is in its simplest form. Thus, our initial assumption that the square root of 18 is rational must be false.

Therefore, by strong induction, we can conclude that the square root of 18 is irrational.

Using strong induction, we can show that every integer amount of postage 30 cents or more can be formed using just 6-cent and 7-cent stamps.

Base Case: For n = 30, we can form it using five 6-cent stamps, so the statement holds true.

Inductive Step: Assume that for all positive integers k with 30 ≤ k ≤ n, we can form k cents of postage using only 6-cent and 7-cent stamps.

Now, consider the case of n + 1 cents. We have two possibilities:

If we use a 6-cent stamp, we need to form (n + 1) - 6 = n - 5 cents using only 6-cent and 7-cent stamps. Since n - 5 is less than or equal to n, we can form it using the stamps according to our assumption.

If we use a 7-cent stamp, we need to form (n + 1) - 7 = n - 6 cents using only 6-cent and 7-cent stamps. Since n - 6 is less than or equal to n, we can form it using the stamps according to our assumption.

In both cases, we can form n + 1 cents of postage using only 6-cent and 7-cent stamps.

By strong induction, we have shown that for any integer amount of postage 30 cents or more, it can be formed using only 6-cent and 7-cent stamps.

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The probability that a family with 4 children has no more than 3 boys is 15/16.

To find the probability that a family with 4 children has no more than 3 boys, we can use the binomial distribution.

The binomial distribution is used to calculate the probability of obtaining a certain number of successes (boys in this case) in a fixed number of trials (children in this case), where each trial has only two possible outcomes (boy or girl) and the trials are independent.

Let X be the number of boys in the family. We want to find P(X ≤ 3), which is the probability of having no more than 3 boys. Since the probability of having a boy is 1/2 and the trials are independent, we can use the binomial distribution formula:

P(X ≤ 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

= (1/2)⁴ + 4(1/2)⁴ + 6(1/2)⁴ + 4(1/2)⁴

= 15/16

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Answer:

Step-by-step explanation:

\(\frac{sin 82}{28} =\frac{sin A}{8} \\sin A=\frac{8}{28} \times sin 82\\A=sin^{-1} (\frac{2}{7} \times sin~82) \approx 16.4 ^\circ\)

The probability that you will make at least $1300 is 2/39 or 0.0513.

Probability is defined as the likeliness of an event to occur. The probability of any event to occur ranges from 0 to 1, and the sum of all the probabilities of all the events happening is 1.

probability = desired outcome / total outcomes

Using combinations, if there are 27 tasks available, then there are 351 combinations of two tasks assigned.

27C2 = 351

Also, count how many ways you could make at least $1300.

# ways = 2 of $1000 each or 1 of $1000 and 1 of $500

# ways = (3C2) + (3 x 5)

# ways = 3 + 15

# ways = 18

Solve for the probability by dividing the number of the desired outcomes by the number of total possible outcomes.

probability = desired outcome / total outcomes

probability = 18 / 351

probability = 2/39 or 0.0513

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Answer:

D. 120 squared

Step-by-step explanation: