repeat (t), do (z) means "repeat z for t number of times"
what does this mean?

The link represented by function g multiplies the dependent variable by 9 for every increase of 2 units in the independent variable. The equation that represents g is \(g(x)= 2 \times3^x\),and the function has a value of 2 at 0

Let x be the independent variable, and let g(x) be the dependent variable.

According to the problem, for every 2 units the independent variable increases, the dependent variable is multiplied by 9. This suggests an exponential relationship of the form:

 \(g(x)= a \times b^x\)

where a is the initial value of the dependent variable (when x=0), and b is the growth factor (how much the dependent variable changes for every unit increase in x).

We are given that g(0) = 2, so we can plug in these values and solve for a:

 \(g(0)= a \times b^0\)

a = 2

So now we have:

\(g(x)= 2 \times b^x\)

We still need to find the growth factor b. We are told that the dependent variable is multiplied by 9 for every 2 units the independent variable increases. In other words:

\(g(x+2) = 9 \times g(x)\)

Using our equation for g(x), we can substitute in and simplify:

  \(2 \times b(x+2) = 9 \times 2\times b^x\)

Simplifying, we get:

\(b^2\) = 9

Taking the square root of both sides (we take the positive square root since b must be positive in order for g to be an increasing function), we get:

b = 3

So the final equation for g(x) is:

\(g(x) = 2 \times 3^x\)

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The equivalent units for the Compounding Department for August 2019 is 57,000 pounds.

Here is the explanation -

To calculate the equivalent units for the Compounding Department in August 2019 using the weighted average method, we need to consider the units that were started and completed, as well as the ending work-in-process.

Step 1: Calculate the equivalent units for units started and completed:
- 36,000 pounds were started.
- 34,000 pounds were transferred out.
Equivalent units for units started and completed = 34,000 pounds.

Step 2: Calculate the equivalent units for ending work-in-process:
- Ending work-in-process was 70% processed.
- Beginning work-in-process was 2,000 pounds (60% processed).
Equivalent units for ending work-in-process = (70% x Ending work-in-process) + (60% x Beginning work-in-process)
Equivalent units for ending work-in-process = (70% x 2,000 pounds) + (60% x 36,000 pounds)
Equivalent units for ending work-in-process = 1,400 pounds + 21,600 pounds
Equivalent units for ending work-in-process = 23,000 pounds.

Step 3: Calculate the total equivalent units:
Total equivalent units = Equivalent units for units started and completed + Equivalent units for ending work-in-process
Total equivalent units = 34,000 pounds + 23,000 pounds
Total equivalent units = 57,000 pounds.

Therefore, the equivalent units for the Compounding Department for August 2019 is 57,000 pounds.

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After finding the derivative of f(x) and setting it equal to the average rate of change, we find that there is only one solution in the open interval (0, 1.565). Therefore, the answer is (B) one

To determine the number of values of x in the open interval (0, 1.565) where the instantaneous rate of change of f is equal to the average rate of change of f on the closed interval [0, 1.565], we can use the Mean Value Theorem for Derivatives.

According to the Mean Value Theorem for Derivatives, if f(x) is a differentiable function on the closed interval [a, b], where a < b, then there exists a point c in the open interval (a, b) such that the instantaneous rate of change of f at c is equal to the average rate of change of f on [a, b].

In this case, we are given that the closed interval is [0, 1.565] and the open interval is (0, 1.565), so we need to find if there exists any point c in (0, 1.565) where the instantaneous rate of change of f is equal to the average rate of change of f on [0, 1.565].

To do this, we can first find the average rate of change of f on [0, 1.565] by using the formula:

average rate of change = (f(1.565) - f(0))/(1.565 - 0)

Next, we can find the derivative of f(x) and set it equal to the average rate of change to find any possible values of c that satisfy the Mean Value Theorem for Derivatives.

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The answer is (C) Three, as there will be three points of intersection.

To answer this question, we need to first understand what the instantaneous rate of change and average rate of change mean. The instantaneous rate of change of a function at a particular point is the slope of the tangent line to the graph of the function at that point. The average rate of change of a function over a closed interval is the slope of the secant line connecting the two endpoints of the interval.

In this case, we are looking for values of x in the open interval (0, 1.565) where the instantaneous rate of change of f is equal to the average rate of change of f over the closed interval [0, 1.565].

Since f(x) is not given, we cannot determine the instantaneous and average rate of change of f directly. However, we can use the Mean Value Theorem for Derivatives to help us solve the problem. The Mean Value Theorem states that if f is a continuous function on the closed interval [a, b] and differentiable on the open interval (a, b), then there exists a number c in the open interval (a, b) such that:

f'(c) = (f(b) - f(a))/(b - a)

In this case, we can apply the Mean Value Theorem to the closed interval [0, 1.565] and the open interval (0, 1.565) to get:

f'(c) = (f(1.565) - f(0))/(1.565 - 0)

Simplifying, we get:

f'(c) = f(1.565)/1.565

So, we need to find values of x in the open interval (0, 1.565) where f(x)/x = f(1.565)/1.565.

To solve this equation, we can graph y = f(x)/x and y = f(1.565)/1.565 on the same set of axes and look for points of intersection. The number of intersection points will be the number of values of x in the open interval (0, 1.565) where the instantaneous rate of change of f is equal to the average rate of change of f over the closed interval [0, 1.565].

Therefore, the answer is (C) Three, as there will be three points of intersection.

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Answer:2 feet i think?

Step-by-step explanation:

sorry need points

Answer:

nope it isn't a linear function

Step-by-step explanation:

if you put it in a graph it isn't a straight line

Answer: a=4/9

Step-by-step explanation: math

The most widely used method for rating attributes is the Likert scale.

The Likert scale is a popular method for measuring attitudes, opinions, and perceptions of individuals towards a particular attribute or construct.

It consists of a series of statements or items that respondents are asked to rate on a scale typically ranging from "Strongly Disagree" to "Strongly Agree" or from "Very Unsatisfied" to "Very Satisfied."

The scale can vary in the number of response options, but it usually has five or seven points.

The Likert scale provides a way to quantify subjective responses and allows researchers to gather data on people's preferences, opinions, and perceptions.

It is widely used in various fields such as psychology, social sciences, market research, and customer satisfaction surveys.

Therefore, the Likert scale is the most widely used method for rating attributes.

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The measure (in radians) of the angle formed by the hands of a clock at 1.30 PM is 3π/4 radians.

The given time is 1:30 PM.

Time is used to quantify, measure, or compare the duration of events or the intervals between them, and even, sequence events.

The angle between hour hand and minute hand is 135°.

In radians = 135° ×π/180°

= 9π/12

= 3π/4

Therefore, the measure (in radians) of the angle formed by the hands of a clock at 1.30 PM is 3π/4 radians.

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The grounded ends of the guy wires are 15 meters apart.

Using the Pythagorean theorem, we can calculate the length of the base (distance between the grounded ends of the guy wires).

Let's denote the length of the base as 'x.'

According to the problem, the height of the tower is 20 meters, and the length of each guy wire is 25 meters. Thus, we have a right triangle where the vertical leg is 20 meters and the hypotenuse is 25 meters.

Applying the Pythagorean theorem:

x² + 20² = 25²

x² + 400 = 625

x² = 225

x = √225

x = 15

Therefore, the grounded ends of the guy wires are 15 meters apart.

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Answer:

C x=40, y=30

Step-by-step explanation:

Remember the opposite side of parallelogram is the same

so angle C and angle A is the same.

3x=120

divide both sides by 3 and you get 40

All parallelogram equal to 180 degrees so to find y

180=2y+120

-2y=120-180

-2y=-60                   negative divide negative is positive.

y=30

Answer:

KM/KL = HJ/HI

Step-by-step explanation:

Triangle JIH is similar to MLK due to Angle-Angle similarity. So, KM/KL = HJ/HI

Answer:

Andre's equation: y=5x+100

Elena's equation: y=20x+10

Step-by-step explanation:

total money (y) = (amount per week) times number of weeks (x) + (starting amount)

to solve number 3, plug in 4 for x in both equations and solve for y.

then find the difference between the two values.

to solve number 4, because both equaions are already set equal to y, you can set them equal to each other so you have 5x+100=20x+10

then solve for x to find number of weeks and plug this value into one of the equations for y to find how much money they have in their bank account.

Domain of this function is alll real numbers,range of this fuction is all real numbers,Asymptotes of this fuction is that there are no vertical or horizontal asymptotes and the graph in Linear function.

The given function is f(x) = 4x - 3/(x + 4). To determine the domain of this function, we need to consider any values of x that would make the denominator, x + 4, equal to zero. However, since division by zero is undefined, we exclude x = -4 from the domain. Therefore, the domain of the function is all real numbers except x = -4.

Next, let's determine the range of the function. Since the function is a rational function, it can take any real value except the values that would make the numerator zero. In this case, the numerator is 4x - 3, which can never be equal to zero for any real value of x. Therefore, the range of the function is also all real numbers.

Moving on to the asymptotes, we can analyze the behavior of the function as x approaches positive or negative infinity. Since the degree of the numerator is less than the degree of the denominator, the function has a horizontal asymptote. However, in this case, the degree of the numerator is equal to the degree of the denominator, resulting in a slant asymptote rather than a horizontal asymptote. To find the equation of the slant asymptote, we can perform long division or synthetic division on the function. Upon doing so, we find that the slant asymptote is y = 4x - 7.

Finally, since the function is a linear function (degree 1), the graph will be a straight line. The graph will approach the slant asymptote as x approaches positive or negative infinity, but it will not have any vertical or horizontal asymptotes.

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Answer:

AB=CD and BC=AD because both of them are visually paired with the same longitude.

Answer:

AB = CD, BC = AD

Step-by-step explanation:

According to parallelogram properties,

Angle A = 180-Angle B; False
AB!=BC; False

AC==BD is only true when AB = BC, False
AB ==CD, BC == AD; True

35kg - 3500g

3500g - 2500g

= 1000g

Answer:

1 : 14

Step-by-step explanation:

The measures must have the same units, that is both g or Kg

2500 g : 35 Kg

= 2500 g : 35000 g ( 1 Kg = 1000 g )

Divide both parts by 100

= 25 : 350 ( divide both parts by 25 )

= 1 : 14

Answer:

$12,750

Step-by-step explanation: when you do the math you get it your welcome my G

Step-by-step explanation:

the given speed is

63 cm / 2 days

1 m = 100 cm

therefore, m = cm/100.

so,

63 cm = 0.63 m

1 day = 24 h

therefore,

2 days = 24×2 = 48 h

so, we have a speed of

0.63 m / 48 h

we need to get the speed of meters in 1 hour.

so, we need to do a normal fraction operation.

e.g. when we have 43/10, but we want to have 1 in the denominator (bottom part).

what do we do ? well, we divide top and bottom (to keep the total value of the fraction unchanged) by 10 and get

4.3/1 = 4.3

we do the same with

0.63 m / 48 h

as we want to have only 1 hour in the denominator.

we divide top and bottom by 48 :

0.63/48 / 1 h = 0.013125 m/h ≈ 0.01 m/h

The solution is Option C.

The total distance skated by the ice skater is 126 meters

What is a Circle?

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the centre for every angle

The perimeter of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

Given data ,

Let the distance traveled by the skater be = D

Let the diameter of the circle A be = 20m

Let the diameter of the circle B be = 20m

So , the radius of circle A = 10 m

The radius of circle B = 10 m

Now , the value of π = 3.14

So , the distance traveled by the skater = perimeter of circle A + perimeter of circle B

Perimeter of Circle A = 2πr

Substituting the values in the equation , we get

Perimeter of Circle A = 2 x 3.14 x 10

Perimeter of Circle A = 62.8 m

And ,

Perimeter of Circle B = 2πr

Perimeter of Circle B = 2 x 3.14 x 10

Perimeter of Circle B = 62.8 m

Therefore , the distance traveled by the skater = Perimeter of Circle A + Perimeter of Circle B

Substituting the values in the equation , we get

The distance traveled by the skater = 2 x 62.8

The distance traveled by the skater = 125.6 meters

The distance traveled by the skater = 126 meters

Therefore , the value of D is 126 meters

Hence , The total distance skated by the ice skater is 126 meters

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Answer:

Binomial distribution because:

Trials are Bernoulli (affected or not)

Probability is known (p=0.05) and remains constant for all trials.

Number of trials is known (n=6).

P(x)=C(n,x)p^x*(1-p)^(n-x)

x=0 =>

P(0)=C(6,0)(0.05^0)(0.95^6)

=0.7351.... (approximately)

The probability that it will take between 30 and 60 minutes to deal with a reported leak is approximately 0.187.

Mean time, μ = 65 minutes

Standard deviation, σ = 60 minutes

Probability that it will take between 30 and 60 minutes to deal with a reported leak.

The probability of dealing with a leak in a particular range can be found using the standard normal distribution.The standard normal distribution has a mean of 0 and a standard deviation of 1.

The formula for converting a normal distribution to a standard normal distribution is:

z = (x - μ)/σ

where x is the observed value

.We need to find the z-scores for the given values.

z1 = (30 - 65)/60 = -0.5833z2 = (60 - 65)/60 = -0.0833

Now we need to find the area between these two z-scores using a standard normal distribution table or calculator.

P(z1 < Z < z2) = P(-0.5833 < Z < -0.0833) = P(Z < -0.0833) - P(Z < -0.5833) = 0.4664 - 0.2794 = 0.187

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If an invertible symmetric n×n matrix A has a nonzero vector v in R^n such that Av is orthogonal to v, then it means that the dot product of Av and v is equal to zero. In other words, Av . v = 0. Using th peroperties of the dot product, we can rewrite this equation as:
v . A^T v = 0

Since A is symmetric, A^T = A, and we can rewrite the equation as:
v . A v = 0
This equation can be further simplified using the properties of the dot product:
v . A v = (A v) . v = 0
From this equation, we can see that the eigenvalues of A must be either positive or negative. If the eigenvalues of A are all positive, then v . A v > 0, which contradicts the equation v . A v = 0. Similarly, if the eigenvalues of A are all negative, then v . A v < 0, which also contradicts the equation v . A v = 0.
Therefore, the only way for there to exist a nonzero vector v in R^n such that Av is orthogonal to v is if the eigenvalues of A are both positive and negative. In other words, A must have both positive and negative

eigenvalues.

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Answer:

point f is in quadrant 3 . . .

The 100 containers that the quality control division of Rothschild's Blueberry Farm randomly inspects.

Population: The containers of blueberries that are being sent to Stop and Shop.

Sample: The 100 containers that the quality control division of Rothschild's Blueberry Farm randomly inspects.

Therefore, the 100 containers that the quality control division of Rothschild's Blueberry Farm randomly inspects.

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This equation is in slope-intercept form of y = mx + b form.

The m represented by the coefficient of the x term

represents the slope and b represents the y-intercept.

So our y-intercept is -4 and we can write this as the ordered pair (0, -4).

To substract two fractions, we have to have common denominators.

For example, if we want to substract 1/3 from 1/2, we have to convert the fractions so they have a common denominator of 6.

The denominators are the ones that give sense to the fraction. In fact, when we substract whole numbers, we can consider we are substracting "fractions of one".

Then, for example, 5 - 4 could have been written as 5/1 -4/1.

If the numbers have different denominators, we can not perform additions or substractions until we express the fractions with the same denominator.

Trying to substract two fractions with different denominators is like substracting two things that are not expressed in the same units and it will yield an incorrect result.

Answer:

\( ➜- 8 - x + x = x - 4x + x\)

\( ➜- 8 = - 2x\)

\( ➜- \frac{8}{ - 2} = \frac{ - 2x}{2} \)

\(➜x=4\)

Answer:

SAS

Step-by-step explanation:

If two sides and the included and the included angle of one triangle are congruent to two sides and the included angle of another triangle , then the triangles are congruent. The included angle is the angle formed by the two sides.

EF = BC

∠ F = ∠ C

DF = AC

then the two triangles are congruent by the SAS postulate.

Answer:

SAS

Step-by-step explanation:

On triangle one and two, they both start by having a congruent side, then a congruent angle, then another congruent side, thus making these triangles congruent by Side Angle Side.

It can't be AAS because there is only one angle, we know is congruent.

It can't be SSS because there are only two sides, we know are congruent.

It can't be HL because there is no right angle, meaning these aren't right triangles.