-11+x(-7) when x= 4
Please help ASAP

Answer

True I’d think

Step-by-step explanation:

As per the given equation, the distance between the supports of a shelf that can hold a set of encyclopedias weighing 66 pounds is 0.65 inches

Here we have given that .the weight w (in pounds) that can be supported by a shelf made from half-inch Douglas fir plywood can be modeled by

=> d = 42.9/w

where d is the distance (in inches) between the supports for the shelf.

While the inverse relationship is written as,

=> w = 42.9/d

While here we have given that the weighing 66 pounds refer the value of w as 66.

Then the distance is calculated as,

=> 42.9/66 = d

=> d = 0.65 inches.

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Answer:

[-9,-4]

Step-by-step explanation:

The highest and lowest points this graph gets to on the y axis are -4 and -9 respectively.

This means the range is [-9,-4].

Brackets are used since -9 and -4 are seemingly included.

J is equal to 24 ____________________________

For a given sample, a 50% confidence level would lead to the largest confidence interval width.A confidence interval is a range of values that surrounds the unknown true value of a population parameter.

A population parameter refers to a numerical characteristic of a population. In a statistical context, the word 'population' refers to a group of individuals or objects that we are interested in studying.A confidence interval is a way to quantify the precision of an estimate. It is a range of values that surrounds the true population parameter and that we can be reasonably confident captures the true value of that parameter.

In statistics, a confidence interval is a measure of the accuracy of an estimate, usually derived from a statistical sample. Confidence intervals have an associated level of confidence, which quantifies the level of uncertainty associated with the measurement. The level of confidence is a measure of how certain we are that our sample estimate is accurate.Therefore, if we want to have the largest confidence interval width, we will choose the confidence level that is nearest to 50%. The 50% confidence level means that we are 50% sure that the population parameter falls within our confidence interval. The confidence interval for a 50% confidence level is the widest confidence interval and will have the greatest width.

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The position of the spaceship when t = π is given by: r(π) = ((1/2)eπ² + (c - 1)π, (1/6)π³, -(1/4)sin(2π)). The position vector depends on the constant c and the value of π.

The position of the spaceship when t = π can be determined by integrating the given acceleration function and using the initial velocity.

The position vector will depend on the constant c and the value of π.

To find the position of the spaceship when t = π, we need to integrate the acceleration function with respect to time and apply the initial condition.

Given acceleration: a(t) = (et, t, sin(2t))

Integrating each component of the acceleration function, we obtain the velocity function:

v(t) = ∫(et) dt = et + C₁

v(t) = ∫t dt = (1/2)t² + C₂

v(t) = ∫sin(2t) dt = -(1/2)cos(2t) + C₃

Using the initial velocity v(0) = (c, 0, 0), we can find the values of the integration constants C₁, C₂, and C₃:

v(0) = (c, 0, 0) = (e(0) + C₁, (1/2)(0)² + C₂, -(1/2)cos(2(0)) + C₃)

(c, 0, 0) = (1 + C₁, 0 + C₂, -1/2 + C₃)

From this, we can determine that C₁ = c - 1, C₂ = 0, and C₃ = 1/2.

Now, we integrate the velocity function to find the position function:

r(t) = ∫v(t) dt = ∫(et + C₁) dt = (1/2)et² + C₁t + C₄

r(t) = ∫((1/2)t² + C₂) dt = (1/6)t³ + C₂t + C₅

r(t) = ∫(-(1/2)cos(2t) + C₃) dt = -(1/4)sin(2t) + C₃t + C₆

Applying the initial condition r(0) = (0, 0, 0), we find that C₄ = C₅ = C₆ = 0.

Therefore, the position of the spaceship when t = π is given by:

r(π) = ((1/2)eπ² + (c - 1)π, (1/6)π³, -(1/4)sin(2π))

The position vector depends on the constant c and the value of π.

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The number of ways to select a committee of four persons from a club consisting of six distinct men and seven distinct women, where the committee must include at least one woman, is given by the expression 7C1 × 6C3 + 7C2 × 6C2 + 7C3 × 6C1 + 7C4.

To determine the number of ways to form the committee, we can consider two cases: one with exactly one woman selected and another with more than one woman selected.

Case 1: Selecting exactly one woman: There are seven choices for selecting one woman and six choices for selecting three men from the remaining six men. The total number of combinations for this case is 7C1 ×6C3.

Case 2: Selecting more than one woman: We need to consider combinations with two women and two men, three women and one man, and all four women. The total number of combinations for this case is 7C2 × 6C2 + 7C3 × 6C1 + 7C4.

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Data Encryption Standard (DES) is one of the most widely-used encryption algorithms in the world. The algorithm is symmetric-key encryption, meaning that the same key is used to encrypt and decrypt data.

The algorithm itself is comprised of 16 rounds of encryption.

The input of Round 2 is given as:

\("846623 20 2 \( 2889120 \)"\)

The input of S-Box of the same round is given as:

\("45 1266 C5 9855"\).

Now, the question requires us to find the required key for Round 2.

We can start by understanding the algorithm used in DES.

DES works by first performing an initial permutation (IP) on the plaintext.

The IP is just a rearrangement of the bits of the plaintext, and its purpose is to spread the bits around so that they can be more easily processed.

The IP is followed by 16 rounds of encryption.

Each round consists of four steps:

Expansion, Substitution, Permutation, and XOR with the Round Key.

Finally, after the 16th round, the ciphertext is passed through a final permutation (FP) to produce the final output.

Each round in DES uses a different 48-bit key.

These keys are derived from a 64-bit master key using a process called key schedule.

The key schedule generates 16 round keys, one for each round of encryption.

Therefore, to find the key for Round 2, we need to know the master key and the key schedule.

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Step-by-step explanation:

The solution is in the image

To find the product of 713 and 48, you can either use the distributive property or the long multiplication method. Both methods yield the same result, which is 34,224.

The distributive property is a fundamental property in mathematics that describes how multiplication interacts with addition or subtraction. It allows us to simplify expressions and perform calculations more efficiently.

Similarly, this property tells us that when we multiply a number (a) by the difference of two other numbers (b - c), it is equivalent to multiplying each of the two numbers (b and c) by a separately and then subtracting the products.

The distributive property is widely used in algebraic manipulations, simplifying expressions, factoring, and solving equations. It provides a powerful tool for expanding and combining terms in an expression, which aids in solving problems and working with mathematical operations more efficiently.

To find the product of 713 and 48, you can use the distributive property of multiplication, which states that a × (b + c) is equal to a × b + a × c.

Here's a step-by-step explanation:

1. Break down 713 into its place values: 700 + 10 + 3.
2. Use the distributive property to multiply each part by 48:
  - Multiply 700 by 48: 700 × 48 = 33,600.
  - Multiply 10 by 48: 10 × 48 = 480.
  - Multiply 3 by 48: 3 × 48 = 144.
3. Add the products together: 33,600 + 480 + 144 = 34,224.

So, 713 times 48 is equal to 34,224.

Alternatively, you can use the long multiplication method:

     7 1 3
   ×   4 8
   -------
     2 8 5 4    (product of 713 and 8)
   5 7 0 4 0    (product of 713 and 40, shifted one place to the left)
 + 3 5 6 0 0    (product of 713 and 400, shifted two places to the left)
   -------
   3 4 2 2 4    (sum of the products)

Again, the result is 34,224.

In summary, to find the product of 713 and 48, you can either use the distributive property or the long multiplication method. Both methods yield the same result, which is 34,224.

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Answer:

Below

Step-by-step explanation:

For the x distance   -2 to 5   is 7 units

for the y distance   2 to 8 = 6 units

Pythagorean Theorem

 7^2 + 6^2 = d^2

  49 + 36 = d^2

  d^2 = 85       d = \(\sqrt{85}\)   =~ 9.2  units  

Answer:

yes it is true

hope my answer help you

Answer:

64c = 32pt

Step-by-step explanation:

There are 2 cups in 1 pt. 64 divided by 2 is 32pt.

Also, just imagine the cups as double the number of the pints

Ex. 32 + 32 = 64

Answer:

number of gallons of water the family will use every morning = 50  gallons

Step-by-step explanation:

Every minutes 2.5 gallons of water flows from the shower . The amount of water disperse by the shower for every 1 minutes is 2.5 gallons. The family using the shower are 4 in numbers . And each of them spend on average of  5 minutes showering .

Let us find how many gallons of water will flow for 5 minutes since family member spent an average of 5 minutes bathing every morning/. Therefore,

2.5 gallons  = 1 minutes

? gallons  =  5 minutes

cross multiply

number of gallons of  water each family member uses every morning = 2.5 × 5 = 12.5 gallons

They are 4 family members in number since each person uses 12.5 gallons of water , 4 of them will use 4 × 12.5 = 50  gallons

The circular arcs of radius 5 units bound the region so the area, in square units, of the region is 50.

The simplest way to think about it is as follows. Assume we wish to define R as the entire region in the first quadrant above the graph y = x 2. S is now defined as the entire region below the graph of y = x. It is obvious that the region R S equals the area in the first quadrant below y = x minus the area under the curve y = x 2. Try to figure out why this is the case, and then click Continue.

Now that we know what kind of problem we're dealing with, we can start turning it to arithmetic, namely integrals. Take note that the region of interest goes between the two curve junctions.

The area of the semicircle is = \(\frac{1}{2} \pi 15^2\)

= 25/2π

The area of the two quarter - circles is

= 2 x 1/4 x π x 25

= 25π/2

So, the area of the region is

= 25π/2 + 5x(5+5) - 25π/2

= 50

Therefore, area of square unit is 50.

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The radial distance r = 6 and the angle θ = 75°. Representation 1: (r = 6, θ = 75°). Representation 2: (r = -6, θ = 75°). Representation 3: (r = 6, θ = 255°).

To represent a point in polar coordinates, we use the radial distance r and the angle θ.

Given the point (675), we have the radial distance r = 6 and the angle θ = 75°.

To find three different representations, we can vary the radial distance r by using both positive and negative values while keeping the angle θ constant.

Representation 1: (r = 6, θ = 75°) - This is the given representation.

Representation 2: (r = -6, θ = 75°) - Here, we use a negative value for the radial distance r while keeping the angle θ the same.

Representation 3: (r = 6, θ = 255°) - To find a different representation, we add 180° to the given angle θ. This results in a point with the same radial distance but in the opposite direction.

These three representations provide different ways to express the same point in polar coordinates, using different combinations of positive and negative values for the radial distance.

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Step-by-step explanation:

Well the first 3 you just plug in the value of x which results in.

a. f(0) = 7(0)^2 + 3(0) - 2

   f(0) = -2

b. f(2) = 7(2)^2 + 3(2) - 2

   f(2) = 7(4) + 6 - 2

   f(2) = 28 + 4

   f(2) = 32

c. f(-2) = 7(-2)^2 + 3(-2) - 2

   f(-2) = 7(4) - 6 - 2

   f(-2) = 28 - 8

   f(-2) = 20

for the last ones it's essentially the same thing except the value a is not known

d. f(a+1) = 7(a+1)^2 + 3(a+1) - 2

   f(a+1) = 7(a^2 + 2a + 1) + 3a + 3 - 2

   f(a+1) = 7a^2 +14a + 7 + 3a + 1

   f(a+1) = 7a^2 + 17a + 8

c. f(-a) = 7(-a)^2 + 3(a) - 2

   f(-a) = 7a^2 + 3a - 2

Answer:

\(-3y^{2} -y+11\)

Step-by-step explanation:

Collect like terms

\(-3y^{2} +7y-8y+11\)

Collect like terms again and you get \(-3y^{2} -y+11\)

Hope this helps ʕ•ᴥ•ʔ

Answer: 4 boxes of cereal

Step-by-step explanation:

Answer:

He can only by 3 boxes

Step-by-step explanation:

20-5=15   than you divid  15 by four    

The required function that gives \(f(g(x))\) that represents the total amount of money Raul earned is

                \(f(g(x)) = 10x^{3}+16\)

What is a function?

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.

Mostly functions are written as f(x) where x is the input of the function.

Given,

\(f(x) = 2x^{2}+16\)

\(g(x)\) = \(\sqrt{5x^{3} }\)

If \(f(x)\) represents amount of money Raul earns per ticket and \(g(x)\) represents number of tickets Raul sells per hour, where x is the number of hours he works, then,

\(f(g(x))\) represents the total amount of money Raul earned in a day.

To find \(f(g(x))\), substitute value of \(g(x)\) in the place of x in function \(f(x)\) .

\(f(g(x))\) = \(f\)(\(\sqrt{5x^{3} }\))

          = 2(    \(\sqrt{5x^{3} }\))² +16

          = 10x³ + 16

Therefore the required function is \(f(g(x)) = 10x^{3}+16\).

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The pair of equations whose lines are perpendicular is (d) y = 1/6x + 3; y = -6x - 3

from the question, we have the following parameters that can be used in our computation:

The pair of equations

By definition;

The slopes of perpendicular lines are opposite reciporcals

So, we have

(a) -1/3 and -3 false

(b) -3 and -6 false

(c) 3 and 3 false

(d) 1/6 and -6 true

Hence, the equations are (d) y = 1/6x + 3; y = -6x - 3

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The histogram is a chart for comparing the data by plotting it in a rectangular form in the chart. The histogram for the given data is attached with the answer below.

The histogram is a diagram with rectangles whose width is similar to the specified range and whose area is equal to the regularity of variables.

The histogram is a chart for comparing the data by plotting it in a rectangular form in the chart.

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Answer: 89 cm^2/minute

Step-by-step explanation:

Initial Area:                11 x 5 = 55 cm^2

Area after 1 minute:  18 x 8 = 144 cm^2

The area of the triangle is increasing by

To find the critical points at which profit is maximized given the total revenue TR = 4700 - 302 and total cost TC = 320/10,500, we need to compute the marginal revenue and marginal cost, equate MR = MC to find the optimal quantity Q∗, verify if Q∗ is a relative maximum point, and compute the maximum profit level (π) by evaluating π∗ = 9(π(Q∗)).

Marginal Revenue (MR) is the derivative of the total revenue function with respect to quantity (Q). In this case, MR = dTR/dQ. By taking the derivative of TR = 4700 - 302 with respect to Q, we can find the expression for MR.

Marginal Cost (MC) is the derivative of the total cost function with respect to quantity (Q). In this case, MC = dTC/dQ. By taking the derivative of TC = 320/10,500 with respect to Q, we can find the expression for MC.

To find the optimal quantity Q∗, we equate MR and MC by setting MR = MC and solve for Q. This is because profit is maximized when MR equals MC.

Once we have found Q∗, we need to verify if it is a relative maximum point. This can be done by checking the second derivative of the profit function and determining if it is negative at Q∗. If the second derivative is negative, it confirms that Q∗ is a relative maximum point.

Finally, to compute the maximum profit level (π∗), we evaluate π(Q∗) by substituting Q∗ into the profit function. In this case, we can multiply the value of π(Q∗) by 9 to obtain the maximum profit level (π∗).

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Answer:

Distribute 1.2 to 6.3 and -7x

Combine 3.5 and 7.56

suhtract 11.06 from both sides

Finally, we just need to use the z-coordinate of the point as the third coordinate in our cylindrical coordinates. So our final answer is: (r, θ, z) = (sqrt(x2 + y2), arctan(y/x), z)

To express a point given in Cartesian coordinates (x, y, and z) in cylindrical coordinates (r,, and z), we need to use some trigonometry. Here's how it works:
First, we need to find the distance from the origin to the point in question. This distance is given by the formula:
r = sqrt(x2 + y2)
where sqrt() means "square root" and 2 means "squared". So we take the square of the x-coordinate, add it to the square of the y-coordinate, and then take the square root of the result. This gives us the distance from the origin to the point in the x-y plane.
Next, we need to find the angle that the point makes with the positive x-axis. This angle is given by the formula:
= arctan(y/x)
where arctan() means "inverse tangent." This formula gives us the angle in radians (not degrees) between the positive x-axis and the line from the origin to the point. Note that we need to be careful about the signs of x and y when using this formula since arctan() can only give us angles between -pi/2 and pi/2 (i.e., the first and fourth quadrants).
Finally, we just need to use the z-coordinate of the point as the third coordinate in our cylindrical coordinates. So our final answer is: (r, θ, z) = (sqrt(x2 + y2), arctan(y/x), z)

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Therefore, the point (3,4,5) in Cartesian coordinates can be expressed in cylindrical coordinates as (5,0.93,5), where r = 5, θ ≈ 0.93 radians, and z = 5.

Sure, I can definitely help you with that! To express a point given in Cartesian coordinates (x,y,z) in cylindrical coordinates (r,θ,z), we use the following formulas:

r = √(x^2 + y^2)
θ = arctan(y/x)
z = z

So, if we have a point (x,y,z) in Cartesian coordinates, we can convert it to cylindrical coordinates using these formulas. For example, let's say we have the point (3,4,5) in Cartesian coordinates. To express this point in cylindrical coordinates, we first find r, θ, and z using the formulas above:

r = √(3^2 + 4^2) = √25 = 5
θ = arctan(4/3) ≈ 0.93 radians
z = 5


I hope this helps! Let me know if you have any further questions or if you need me to explain anything in more detail.

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Answer: 24

Step-by-step explanation: 24 divided by 8 = 3. Hope this helped.

Answer:

1.44 or \(\sqrt[3]{3}\)

Step-by-step explanation:

Step-by-step explanation:

i have send the answer in the photos as it is difficult to type this type of answer ...Hope it will help you and sorry if handwriting is not clear ... plz mark my answer as brainlist plzzzz ...