Which choice is equivalent to 4 square root 3?
A. 12
B. 748
C. V12
D. 6

Answer:

No, since they fail the Triangle Inequality Theorem as 16 + 21 is less than 39.

Step-by-step explanation:

Thus, the three side lengths fail the Triangle Inequality Theorem so they can't form a triangle.

Answer:

yes, as 3  23/100

Step-by-step explanation:

because

Answer:

I think it could be 3 23/100

Step-by-step explanation:

The answer is D. No, because the sample sizes are not large enough to assume the distribution of the difference in sample means is normal.

In order to perform inference with a confidence interval for the difference in population means, certain conditions need to be met. One of the conditions is that the sample sizes should be sufficiently large.

For the distribution of the difference in sample means to be approximately normal, both sample sizes should ideally be large, typically with a guideline of at least 30 observations. In this case, the sample sizes are 35 for manager A and 40 for manager B, which are relatively small compared to the guideline.

Therefore, (D) the condition of having large enough sample sizes to assume a normal distribution for the difference in sample means is not met. As a result, the conditions for inference with a confidence interval for the difference in population means have not been met.

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Answer:

\( {f}^{ - 1} (x)= - \frac{4}{3} x + 8\)

Step-by-step explanation:

\(f(x) = - \frac{3}{4} x + 6\)

\(y = - \frac{3}{4} x + 6\)

\(x = - \frac{3}{4} y + 6\)

\( - \frac{3}{4} y + 6 = x\)

\( - 3y + 24 = 4x\)

\( - 3y = 4x - 24\)

\(\boxed{\green{ {f}^{ - 1} (x)= - \frac{4}{3} x + 8}}\)

The domain of f(x) is the set of all values of x for which the function is defined. In this case, the function is defined as long as the denominator of the fraction is not zero. Therefore, we have:

x^2 - 9 ≠ 0

Solving for x, we get:

x ≠ ±3

So the domain of f(x) is the set of all real numbers except x = -3 and x = 3. In interval notation, we can write:

(-∞, -3) ∪ (-3, 3) ∪ (3, ∞)

To find the values of x that make f(x) equal to zero, we need to solve the equation f(x) = 0, which means:

(x^2 - 6x + 8)/(x^2 - 9) = 0

We can see that the numerator can be factored as (x - 2)(x - 4), and the denominator can be factored as (x - 3)(x + 3). So we have:

(x - 2)(x - 4) / [(x - 3)(x + 3)] = 0

For this fraction to be equal to zero, the numerator must be zero while the denominator is not zero. Therefore, we get two solutions:

x - 2 = 0, which gives x = 2

x - 4 = 0, which gives x = 4

So the values of x that make f(x) equal to zero are x = 2 and x = 4.

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The work done is 3750 Joules on the box.

To quantitatively express this concept, the work W is equal to the force f times the distance d, or W = fd. If the force is applied at an angle to the displacement, the work is W = fd cos.t.

The equation W = F * d * cos(theta), where W is the work done, F is the force applied, d is the displacement of the item, and theta is the angle between the force and displacement vectors, can be used to solve this problem.

The force in this instance is 500 N, and the distance is provided as 15 m, and the 60 degree angle between the vectors of force and displacement.

So, by changing these numbers in the equation, we obtain:

W = 500 N x 15 m x cos (60 degrees)

We can simplify this to: Applying the trigonometric identity cos(60 degrees) = 1/2

W = (500 N) * (15 m) * (1/2)

W = 3750 J.

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Answer:

c = -1068

d = -1000

Step-by-step explanation:

c = -89 × 12

c = -1068

d × 88 = - 88,000

d = - 88,000 ÷ 88

d = - 1000

Hope this helps!

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Answer: The 2nd one from the top

∂z/∂s = -sin()cos()t9 + cos()sin()9st2 and ∂z/∂t = sin()cos()s - cos()sin()81t.

To find ∂z/∂s and ∂z/∂t, we use the chain rule of partial differentiation. Let's begin by finding ∂z/∂s:

∂z/∂s = (∂z/∂)(∂/∂s)[(st9) cos(s9t)]

We know that ∂z/∂ is cos()cos() - sin()sin(), and

(∂/∂s)[(st9) cos(s9t)] = t9 cos(s9t) + (st9) (-sin(s9t))(9t)

Substituting these values, we get:

∂z/∂s = [cos()cos() - sin()sin()] [t9 cos(s9t) - 9st2 sin(s9t)]

Simplifying the expression, we get:

∂z/∂s = -sin()cos()t9 + cos()sin()9st2

Similarly, we can find ∂z/∂t as follows:

∂z/∂t = (∂z/∂)(∂/∂t)[(st9) cos(s9t)]

Using the same values as before, we get:

∂z/∂t = [cos()cos() - sin()sin()] [(s) (-sin(s9t)) + (st9) (-9cos(s9t))(9)]

Simplifying the expression, we get:

∂z/∂t = sin()cos()s - cos()sin()81t

Therefore, ∂z/∂s = -sin()cos()t9 + cos()sin()9st2 and ∂z/∂t = sin()cos()s - cos()sin()81t.

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Answer:

Step-by-step explanation:

Answer:

 y = 2x-5

Step-by-step explanation:

Lets look for an equation in the standard form of y=mx+b, where m is the slope and b the y-intercept (the value of y when x=0).

A reference line is given:  y=2x+3.  It has a slope of 2.  Parallel lines have the same slope, so the line we are looking for will also have a slope of 3.  We can therefore wrtite what we know sio far.  The new line will be:

                 y = 2x+b

Any vale of b will produce a line that is parallel to the referenc elien.  But we need a line that goes through a given point of (3,1).  By choosingf the correct value of b, we can force the line therough this point.  The easiest way to find b is to use the known point in the equiation we have thuis far, and solve for b:

y = 2x+b

1 = 2*(3)+b  for (3,1)

b = -5

The equation of a line parallel to y=2x+3 and going through point (3,1) is:

   y = 2x-5

See attached graph.

To find the possible values of k, we need to calculate the determinant of matrix D and set it equal to 1024.

Given matrix D:

D = | k 0 0 |

| 3 k² k³ |

| 0 kª k³ kº |

| k k k |

| 0 0 0 |

| k¹⁰ |

The determinant of D can be calculated by expanding along the first row or the first column. Let's expand along the first row:

det(D) = k(det | k³ k k |

| 0 k³ kº |

| 0 0 k¹⁰ |)

- 0(det | 3 k² k³ |

| 0 kª k³ |

| k k k |)

+ 0(det | 3 k² k³ |

| k k k |

| k k k |)

Simplifying further, we have:

det(D) = k(det | k³ k k |

| 0 k³ kº |

| 0 0 k¹⁰ |)

Now, we can calculate the determinant of the 3x3 submatrix:

det | k³ k k |

| 0 k³ kº |

| 0 0 k¹⁰ |

This determinant can be found by expanding along the first row or the first column. Expanding along the first row gives us:

det = k(k³(kº) - 0(k)) - 0(0(k¹⁰)) = k⁴kº = k⁴+kº

Now, we can set det(D) equal to 1024 and solve for k:

k⁴+kº = 1024

Since we are looking for all possible values of k, we need to solve this equation for k. However, solving this equation may require numerical methods or approximations, as it is a quartic equation.

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the correct answer is: iii. use blocking when conducting an experiment.

Decreasing the sample size and increasing the significance level will increase the probability of rejecting the null hypothesis, but they will not increase the power of the test.

Using blocking when conducting an experiment can increase the power of the test by reducing the variability within blocks and increasing the variability between blocks. This can lead to a more precise estimate of the treatment effect and a higher probability of detecting a significant difference between the treatment groups.

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\(\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}\)

Actually Welcome to the concept of Circles,

so we get as,

centre as ==> ( -g, -f) ==> (2,-1)

(a) The distance traveled by motorcycle is 1548 ft.

(b) The distance traveled by motorcycle is 1512 ft.

(c) (b) is a lower estimate and (a) is an upper estimate since v is a decreasing function of t.

What is velocity?

The primary indicator of an object's position and speed is its velocity. It is the distance that an object travels in one unit of time. The displacement of the item in one unit of time is the definition of velocity.

Given table is:

t (s)        0       12      24     36     48      60

v (ft/s)   30      28     25     21      25      27

The distance traveled by motorcycle during this time period using the velocities at the beginning of the time intervals is:

12(30 + 28 + 25 + 21 + 25)

=12 × 129

= 1548 ft

The distance traveled by motorcycle during this time period using the velocities at the end of the time intervals is:

12(28 + 25 + 21 + 25 + 27)

=12 × 126

= 1512 ft

The distance traveled by motorcycle at the end of the time intervals is greater than the distance traveled by motorcycle at the beginning of the time intervals.

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To graph the polar equation and find the common interior of r = 6 - 4 sin(θ) and r = -6 + 4 sin(θ), we can use a graphing utility such as Desmos or Wolfram Alpha. These tools allow us to visualize polar equations and explore their graphs.

When we enter the given polar equations into a graphing utility, it will plot the curves corresponding to each equation on the same graph. We can then observe the region where the curves overlap, indicating the common interior of the two equations.

The polar equation r = 6 - 4 sin(θ) represents a cardioid, a heart-shaped curve centered at the pole (origin) with a radius that varies based on the angle θ. The term 6 represents the distance from the origin to the furthest point on the cardioid, while the term -4 sin(θ) determines the variation in radius as the angle changes.

Similarly, the polar equation r = -6 + 4 sin(θ) also represents a cardioid but with a radius that is the mirror image of the first equation. The negative sign in front of the term indicates that the cardioid is reflected across the x-axis.

Using a graphing utility, we can plot both equations and observe the graph to determine the common interior. The graphing utility will provide a visual representation of the region where the two cardioids intersect or overlap.

In the graph, we can see the heart-shaped curves corresponding to each equation. The cardioids intersect in two regions, forming a figure-eight shape. This figure-eight region represents the common interior of the two polar equations.

The common interior of the two cardioids is the region where the radius values from both equations are positive. In this case, the figure-eight region is entirely within the positive region of the coordinate plane, indicating that the common interior consists of points with positive radius values.

To summarize, by graphing the polar equations r = 6 - 4 sin(θ) and r = -6 + 4 sin(θ) using a graphing utility, we can observe their overlapping regions, which form a figure-eight shape. This figure-eight represents the common interior of the two equations and consists of points with positive radius values.

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Answer:

w = - \(\frac{7}{2}\) z

Step-by-step explanation:

Given

5w + 9z = 2z + 3w ( subtract 3w from both sides )

2w + 9z = 2z ( subtract 9z from both sides )

2w = - 7z ( divide both sides by 2 )

w = - \(\frac{7}{2}\) z

Answer:

w = -7/2z

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

5w + 9z = 2z + 3w

Step 2: Solve for w

Answer:

-$84

Step-by-step explanation:

$-6 x $14 = -$84

Answer:

Step-by-step explanation:

3012 X 2 + 4 X 2 es 6024 + 4 X 2 es igual a 6032 ok

Answer:

\(\sf c.) \: \ 7.012 \times 10^{-8}\)

Step-by-step explanation:

\(\sf \rightarrow (3.012 \times 10^{-8}) + (4 \times 10^{-8})\)

take out common factor

\(\sf \rightarrow 10^{-8}(3.012 +4)\)

add integers inside bracket

\(\sf \rightarrow 10^{-8}(7.012 )\)

in standard form

\(\sf \rightarrow 7.012\times 10^{-8}\)

To calculate the product of a vector and a scalar, we multiply each component of the vector by the scalar. We can also add multiple vectors, where we simply add the components of all the vectors along each direction. By using these methods, we can solve the given problem.

\(a) a⃗ +b⃗ = (2 + 3, -1 + 0, 1 + 5) = (5, -1, 6)\\b) a⃗ -c⃗ = (2 - 1, -1 - 4, 1 - (-2)) = (1, -5, 3)\\c) b⃗ -c⃗ = (3 - 1, 0 - 4, 5 - (-2)) = (2, 4, 7)\\d) 2a⃗ +3c⃗ = (2*2 + 3*1, -1*2 + 3*4, 1*2 + 3*(-2)) = (6, 6, -3)\)

In 3-dimensional vector calculations, it is important to consider the components of the vectors along i^, j^, and k^. To calculate the sum of two vectors\(a⃗ , b⃗\), we simply add the components of the vectors along all directions. Similarly, we can subtract two vectors by subtracting the components of the vectors along all directions. To calculate the product of a vector and a scalar, we multiply each component of the vector by the scalar. We can also add multiple vectors, where we simply add the components of all the vectors along each direction. By using these methods, we can solve the given problem.

The complete question is :

Given the three 3-dimensional vector \(a⃗ =(2,−1,1), b⃗ =(3,0,5), and c⃗ =(1,4,−2)\), where (x,y,z) are the components of the vectors along \(i^, j^, k^\)respectively, calculate the following:

\(a) a⃗ +b⃗\\b) a⃗ -c⃗\\c) b⃗ -c⃗\\d) 2a⃗ +3c⃗\)

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Answer:

2.291

Step-by-step explanation:

Answer:

\( \frac{ log_{2}(11) }{3} \)

Step-by-step explanation:

\(3x = log_{2}(11) \)\(

x = \frac{ log_{2}(11) }{3} \)

After answering the presented question, we can conclude that As a fraction: \(\frac{g + 8}{h}\\\)

what is a fraction?

In mathematics, a fraction is a number that represents a component of a whole or a ratio between two things. It is shown as a top number (numerator) divided by a horizontal line, also known as a vinculum, over a bottom number (denominator). For example, the fraction 3/4 indicates three-quarters of a whole divided into four equal parts. A fraction can be expressed using proper fractions, improper fractions, or mixed integers. An appropriate fraction is one with a numerator less than the denominator, such as 2/5.

Using the division symbol:

(g + 8) / h

Hence, After answering the presented question, we can conclude that As a fraction: \(\frac{g + 8}{h}\\\).

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The complete question:

Write the expression in two ways: using the division symbol and as a fraction. Type your answers in the boxes below. The numerator of the quantity is g plus 8 and the denominator is h.

Answer: b

Step-by-step explanation:

Answer:

  (a)  15 -18i

Step-by-step explanation:

You want the simplified form of the expression -2i(5- i) + (17- 8i).

For many purposes, the value i in a complex number can be treated in the same way a variable would be treated. When simplifying an expression involving i, any instances of i² can be replaced with the real value -1.

  -2i(5- i) + (17- 8i) = -10i +2i² +17 -8i

  = -2 +17 +(-10 -8)i

  = 15 -18i

__

Additional comment

Your scientific or graphing calculator can probably help you evaluate such expressions.

Answer:

it will be i think 17/100

Step-by-step explanation:

Answer:

Step one add 4 to both sides

step two divide both sides by 17

step 3 is the answer and that is 62/17

Step-by-step explanation:

Hope this helps!!!

Answer:

x= 62/17

Step-by-step explanation:

17x - 4+4 = 58 + 4

17x= 62

17x/17 = 62/17

x = 62/17

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

From the question the equation is

y = 4x − 11

Comparing with the general equation above

Hope this helps you