The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges $5500 to rent trucks plus an
additional fee of $175.50 for each ton of sugar. The second company charges $4995 to rent trucks plus an additional fee of $200.75 for each ton of sugar.

Anything that strengthens a response or increases the probability that it will occur is called a "reinforcer". A reinforcer can be anything that the individual finds rewarding or motivating, such as praise, a high five, a tangible reward, or a positive experience.

The use of reinforcers is a common technique in behavior modification and is often used in educational and therapeutic settings. By identifying and providing reinforcers for desired behaviors, individuals can be motivated to continue those behaviors, which in turn increases the probability of success. Reinforcement can also be used to shape new behaviors, by gradually reinforcing steps towards the desired behavior until the full behavior is achieved. In summary, reinforcement is a powerful tool for increasing the probability of desired behaviors and can be used in a variety of settings to improve outcomes.

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Answer:

Step-by-step explanation:

∠R + ∠S + ∠T = 180 {Angle sum property of triangle}

∠R + 56 + 30  = 180

         ∠R + 86 = 180

               ∠R   = 180 - 86

                ∠R =   94

The answer can be stated as, " When writing a decimal number that is less than 1, one must apply the trailing zero rule."

Significant figures are the number of digits placed in a number that are required to indicate the measurement of a quantity with reliability.

Significant figures have following rules,

The number of zeros lying between any two numbers are significant. For example in 301 the zero between 3 and 1 are significant.

The number of zeros lying at the end of a decimal are significant. For example, in 0.300 there zeros after 3 are significant.

A decimal number can be written as in two parts.

The first part that comes before decimal is integer.

And, the second part are the equivalent part of the order of 10.

In order to write a decimal number less than one, the number before decimal is zero.

And, the numbers coming after it are the significant figures.

Thus, the trailing zeros before a digit and decimal are significant.

Hence, trailing zero rule can be applied for the given case.

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Answer:

6,008.3

Step-by-step explanation:

\(V=\pi r^{2} h\\V=\pi 7.5^{2} 34\)

Answer:

2nd one is the nearest tenth

Step-by-step explanation:

V=πr²h

Solving it

V=22/7×7.5×7.5×34

V=6010.714286 cm ³

The length is 3/8 inches and width is 3/8 inches.

It is also given that the area of a capacitor plate is obtained by multiplying the length by the width.

To find the area of a capacitor plate by multiplying the length by the width,

Substitute the values,

The area of capacitor plate is

Answer:

answer is b)

\( {(r + s)}^{2} = {r}^{2} + 2rs + {s}^{2} \)

Answer:

Terrence made $30 more than Teresa.

Step-by-step explanation:

Giving the following information:

Terrence earns $450 per week.

Teresa earns $300 per week plus a 6% commission on the total sales of books she sells.

First, we need to structure the total income formula for each:

Terrence= 450

Teresa= 300 + 0.06*x

x= sales

Now, for $2,000 sales of books:

Terrence= $450

Teresa= 300 + 0.06*2,000= $420

Answer:

$29.40

Step-by-step explanation:

Answer:

-12 gal / min

Step-by-step explanation:

-60/5=-12

We happen to have

\(\dfrac17 = \dfrac18 + \dfrac1{8^2} + \dfrac1{8^3} + \cdots\)

which is to say, the base-8 representation of 1/7 is

\(\dfrac17 \equiv 0.111\ldots_8\)

This follows from the well-known result on geometric series,

\(\displaystyle \sum_{n=1}^\infty ar^{n-1} = \frac a{1-r}\)

if \(|r|<1\). With \(a=1\) and \(r=\frac18\), we have

\(\displaystyle \sum_{n=1}^\infty \frac1{8^{n-1}} = 1 + \frac18 + \frac1{8^2} + \frac1{8^3} + \cdots \\\\ \implies \frac1{1-\frac18} = 1 + \frac18 + \frac1{8^2} + \frac1{8^3} + \cdots \\\\ \implies \frac87 = 1 + \frac18 + \frac1{8^2} + \frac1{8^3} + \cdots \\\\ \implies \frac17 = \frac18 + \frac1{8^2} + \frac1{8^3} + \cdots\)

Uniformly multiplying each term on the right by an appropriate power of 2, we have

\(\dfrac17 = \dfrac2{16} + \dfrac{2^2}{16^2} + \dfrac{2^3}{16^3} + \dfrac{2^4}{16^4} + \dfrac{2^5}{16^5} + \dfrac{2^6}{16^6} + \cdots\)

Now observe that for \(n\ge4\), each numerator on the right side side will contain a factor of 16 that can be eliminated.

\(\dfrac{2^n}{16^n} = \dfrac{2^4\times2^{n-4}}{16^n} = \dfrac{2^{n-4}}{16^{n-1}}\)

That is,

\(\dfrac{2^4}{16^4} = \dfrac1{16^3}\)

\(\dfrac{2^5}{16^5} = \dfrac2{16^4}\)

\(\dfrac{2^6}{16^6} = \dfrac4{16^5}\)

etc. so that

\(\dfrac17 = \dfrac2{16} + \dfrac4{16^2} + \dfrac9{16^3} + \dfrac2{16^4} + \dfrac4{16^5} + \dfrac9{16^6} + \cdots\)

and thus the base-16 representation of 1/7 is

\(\dfrac17 \equiv 0.249249249\ldots_{16}\)

and the first 10 digits after the (hexa)decimal point are {2, 4, 9, 2, 4, 9, 2, 4, 9, 2}.

There are two equations given 3x + y = 13 and 4x - 3y = 13.

Multiply the first equation by 3 to get 9x + 3y = 39 and add it to second equation.

Substitute x = 4, in first equation to find y,

In summary, fy(a,b) is the slope of the tangent line to the surface defined by f(x, y) at the point (a, b) in the y-direction.

The given expression represents the partial derivative of f(x, y) with respect to y, evaluated at (a, b):

fy(a,b) = lim┬(y→b)⁡〖[f(a,y) - f(a,b)]/(y - b)〗

Geometrically, this partial derivative represents the slope of the tangent line to the surface defined by f(x, y) at the point (a, b) in the y-direction.

To see why this is the case, consider the following argument:

Let L be the limit in the expression given above.

Let h = y - b be the change in the y-coordinate from b to y.

Then, we can rewrite the limit as:

fy(a,b) = lim┬(h→0)⁡〖[f(a,b + h) - f(a,b)]/h〗

This expression represents the average rate of change of f(x, y) with respect to y over the interval [b, b + h].

As h approaches 0, this average rate of change approaches the instantaneous rate of change, which is the slope of the tangent line to the surface defined by f(x, y) at the point (a, b) in the y-direction.

Therefore, fy(a,b) is the partial derivative of f(x, y) with respect to y, evaluated at (a, b).

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The inverse of the given function is represented by Data Table B.

A function is a law that relates a dependent and an independent variable.

The Inverse of the function is determined by interchanging the values of a and y in an f(x,y) function and then express the equation of y in terms of x.

Th table of the function is

Miles to go             Miles Travelled

0                                       0

100                                  310

200                                  450

340                                   550

650                                   650

The inverse of this data table will be

 Miles Travelled             Miles to go

650                                        650

340                                        550  

200                                       450

100                                        310

0                                             0

This is represented by Data Table B.

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To reach your fundraising goal of $75, you will need to sell 150 pencils for $0.50 each and 0 bracelets for $1.00 each.

To reach your fundraising goal of $75, you can sell pencils for $0.50 and bracelets for $1.00.

1. Calculate the total amount of money needed to reach the goal:
  Goal amount = $75

2. Determine the number of pencils and bracelets you need to sell to reach the goal:
  Let's assume you sell x number of pencils and y number of bracelets.

  The amount raised from selling pencils = x * $0.50
  The amount raised from selling bracelets = y * $1.00

  The total amount raised from both items should be equal to the goal amount:
  x * $0.50 + y * $1.00 = $75

3. Simplify the equation:
  0.50x + 1.00y = 75

4. Solve for one variable in terms of the other:
  Let's solve for x in terms of y:
  0.50x = 75 - 1.00y
  x = (75 - 1.00y) / 0.50

5. Substitute the value of x into the equation:
  (75 - 1.00y) / 0.50 * 0.50 + y * $1.00 = $75
  75 - 2y + y = 75
  -y = 0
  y = 0

6. Find the value of x:
  x = (75 - 1.00 * 0) / 0.50
  x = 75 / 0.50
  x = 150

To reach your fundraising goal of $75, you will need to sell 150 pencils for $0.50 each and 0 bracelets for $1.00 each.

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The value of the missing angles are:

a) x = 71°

b) y = 48°

c) g = 48°

f = 132°

h = 48°

k = 132°

d = 80° = c

b = 100° = a

e = 52°

We know that alternate angles are defined as two angles that are formed when a line crosses two other lines, that lie on opposite sides of the transversal line and on opposite relative sides of the other lines. If the two lines crossed are parallel, the alternate angles are equal.

a) Angle x is an alternate angle to 71°

Thus: x = 71°

b) Angle x is a corresponding angle to 132°.

Angle at a point is 180 degrees and as so:

y = 180 - 132

y = 48°

c) Angle g is an opposite angle to 48 degrees and as such:

g = 48°

Sum of angles on a straight angle is 180 degrees and as such:

f = 180 - 48

f = 132°

angle h is an alternate angle to 48 degrees and such:

h = 48°

k is a corresponding angle to f and as such k = 132°

d is an alternate angle to 80 degrees and as such:

d = 80° = c

Sum of angles in a straight line is 180 degrees and as such:

b = 180 - 80

b = 100° = a

e = 180 - (48 + 80)

e = 52°

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Answer:

Angle 1

Step-by-step explanation:

Angle 1 is the only marked angle that is an obtuse angle (larger than 90 degrees, but less than 180).

Also, the angle marked as 28 degrees and angle one are supplementary, meaning that they add up to equal 180. 180-152=28

Answer:

angle 1

Step-by-step explanation:

The statements that are true for this function and graph include the following:

B. The base of the function is One-third.

C. The function shows exponential decay.

D. The function is a stretch of the function f(x) = (one-third) Superscript x \(f(x) = (\frac{1}{3} )^x\).

In Mathematics, an exponential function can be modeled by using this mathematical equation:

\(f(x) = ab^x\)

Where:

By comparison, we have the following:

Initial value or y-intercept, a = 1.

Base, b = 1/3.

In conclusion, we can logically deduce that the function represents an exponential decay with a vertical stretch by a scale factor of 1/3.

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Complete Question:

Consider the exponential function f(x) = 3(1/3)^x and its graph

Which statements are true for this function and graph? Check all that apply.

The initial value of the function is 1/3.

The growth value of the function is 1/3.

The function shows exponential decay.

The function is a stretch of the function f(x) = (1/3)^x

The function is a shrink of the function f(x) = 3^x

One point on the graph is (3, 0).

The distance from the center of dilation, Q, to the image of vertex A will be 4 units.

According to the given rule of dilation, D subscript Q, two-thirds, the triangle ABC will be dilated with a scale factor of two-thirds centered at point Q.

Since point Q is the center of dilation and the distance from triangle ABC to point Q is 6 units, the image of vertex A will be 2/3 times the distance from A to Q. Therefore, the distance from A' (image of A) to Q will be (2/3) x 6 = 4 units.

By applying the scale factor to the distances, we can determine that the length of A'B' is (2/3) x  3 = 2 units, the length of B'C' is (2/3) x 7 = 14/3 units, and the length of A'C' is (2/3) x 8 = 16/3 units.

Thus, the distance from the center of dilation, Q, to the image of vertex A is 4 units.

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Answer:

it's a

Step-by-step explanation:

its a on edge

Answer: A

Step-by-step explanation:

Answer:

y= -11/2x+50

Step-by-step explanation:

+50 is the y intercept, where x= 0

the slope is -11/2 (rise over run)

The mean is x = 15 and the standard deviation is s = 2.28.

To compute the mean and standard deviation of the given set of data (17, 12, 18, 15, and 13), follow these steps:

a) To find the mean (x), add up all the numbers and divide the sum by the total count.
  (17 + 12 + 18 + 15 + 13) / 5 = 75 / 5 = 15
  Therefore, the mean is 15.

b) To calculate the standard deviation (s), you need to find the deviation of each number from the mean. Square each deviation, find the average of the squared deviations, and then take the square root.

  Deviations from the mean: (17-15), (12-15), (18-15), (15-15), (13-15) = 2, -3, 3, 0, -2
 
  Squared deviations: 2², (-3)², 3², 0², (-2)² = 4, 9, 9, 0, 4
 
  Average of squared deviations: (4 + 9 + 9 + 0 + 4) / 5 = 26 / 5 = 5.2
 
  Square root of the average: √5.2 ≈ 2.28
 
  Therefore, the standard deviation is approximately 2.28 (rounded to two decimal places).

So, the mean of the given set of data is 15, and the standard deviation is approximately 2.28.

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He answers rounded to the correct number of decimals/sig. figs are:a. 15.0 b. 408.1 c. 369 d. 68.65

a. 12.5849+2.4Adding 12.5849 and 2.4 gives: 15. 0 (rounded to one decimal place)  b. 432.5−24.3984Subtracting 24.3984 from 432.5 gives: 408. 1 (rounded to one decimal place)  c. 246×1.5Multiplying 246 and 1.5 gives: 369 (no rounding required)  d. 974.59/14.2Dividing 974.59 by 14.2 gives: 68.65 (rounded to two decimal places)

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Answer:

negative exponents in the numerator get moved to the denominator and become positive exponents. Negative exponents in the denominator get moved to the numerator and become positive exponents. Only move the negative exponents.

Step-by-step explanation:

the sets A, B, C, and D defined above satisfy all the given conditions.

Here's an example of four non-empty sets, A, B, C, and D, that satisfy the given conditions:

A = {1, 2, 3}

B = {2, 3, 4}

C = {B}

D = {A, B}

Now, let's verify that each condition is satisfied:

1. A ∩ B ≠ ∅: The intersection of sets A and B is {2, 3}, which is not empty. So, A ∩ B ≠ ∅ is true.

2. A ∩ C = ∅: The intersection of sets A and C is {B}, which is not empty. Therefore, A ∩ C = ∅ is not satisfied.

3. B ∈ C: Set B is indeed an element of set C. So, B ∈ C is true.

4. A ∈ D: Set A is an element of set D. Hence, A ∈ D is true.

5. A ⊆ D: Every element of set A is also an element of set D. So, A ⊆ D is true.

6. B ⊂ D: Every element of set B is also an element of set D, but B is not equal to D. Thus, B is a proper subset of D, satisfying B ⊂ D.

7. A ⊆ N: Set A, which is {1, 2, 3}, is a subset of the set of natural numbers (N). So, A ⊆ N is true.

8. B ⊆ N: Set B, which is {2, 3, 4}, is also a subset of the set of natural numbers (N). Therefore, B ⊆ N is true.

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Answer:

701.25 feet squared

Step-by-step explanation:

when you calculate the total area of the circle it comes to 1963.5ft

360 degrees divided by 130 degrees is 2.8 which means you need to divide the total area by 2.8 and the final answer comes to 701.25 feet squared

There is only one different square root of A.(a) To find the square roots of matrix A = [2 2; 2 2]: Let's consider two matrices B1 and B2: B1 = [1 1; 1 1]; B2 = [-1 -1; -1 -1].

Now, let's check if BB = A for each matrix: B1B1 = [1 1; 1 1] * [1 1; 1 1] = [2 2; 2 2] = A; B2B2 = [-1 -1; -1 -1] * [-1 -1; -1 -1] = [2 2; 2 2] = A. Both B1 and B2 satisfy BB = A, so they are two possible square roots of matrix A. (b) For matrix A = [5 0; 0 9], let's consider a matrix B: B = [√5 0; 0 √9] = [√5 0; 0 3] .We can see that BB = [√5 0; 0 3] * [√5 0; 0 3] = [5 0; 0 9] = A.

Thus, there is only one different square root of A. (c) Not every 2x2 matrix has a square root. For a square root of a matrix to exist, the matrix must be positive definite or positive semidefinite. If the eigenvalues of the matrix are negative or complex, there won't be any real square root. Additionally, if the matrix has zero eigenvalues with multiplicities greater than one, it may not have a unique square root. Therefore, the existence of a square root for a 2x2 matrix depends on its eigenvalues and their properties.

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In classification analysis, we are determining the probability of an observation belonging to a specific class.

Classification analysis is a machine learning technique used to predict the class or category to which an observation belongs. The goal is to assign a probability to each possible class, indicating the likelihood of the observation belonging to that class. This is typically done by training a classification model on a labeled dataset, where the classes are known for a set of observations. The model learns patterns and relationships from the training data and then uses that knowledge to predict the class of new, unseen observations. The predicted probabilities can be used to make informed decisions, such as determining the most likely class for a given observation or setting a threshold for making binary decisions.

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Answer:

B. y = -6x+7

Step-by-step explanation:

change in x is positive 6 change in y is negative 1

6/-1 is the slope

-6 is the slope

The statement  of the given question is True.

True. This is because there are only 14 different types of socks to choose from, so if you choose 15 socks, there must be at least one pair of socks that match. This is known as the Pigeonhole Principle, which states that if there are more pigeons than pigeonholes, at least one pigeonhole must contain more than one pigeon. In this case, the socks are the pigeons and the different types of socks are the pigeonholes.

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Answer:

x = - \(\frac{7}{4}\)

Step-by-step explanation:

Given

20x + 12 = 4x - 16 ( subtract 4x from both sides )

16x + 12 = - 16 ( subtract 12 from both sides )

16x = - 28 ( divide both sides by 16 )

x = \(\frac{-28}{16}\) = - \(\frac{7}{4}\) [ = - 1.75 ]