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Answer: Its D

Step-by-step explanation:

negative is down and left positive is up and right

The store should have 445 picks remaining, not 450 as estimated by the manager. To determine if the store manager's estimate is reasonable, let's analyze the situation.

The store initially has 500 guitar picks. They order 15 boxes, and each box contains 9 picks. So the total number of picks they receive from the order is:

15 boxes * 9 picks/box = 135 picks

Next, the store sells 19 boxes, with each box containing 10 picks. Therefore, the total number of picks sold is:

19 boxes * 10 picks/box = 190 picks

To find the remaining number of picks, we can subtract the sold picks from the received picks:

Total remaining picks = Initial picks + Received picks - Sold picks

Total remaining picks = 500 + 135 - 190 = 445 picks

According to the calculations, the store should have 445 picks remaining, not 450 as estimated by the manager.

However, it's important to note that we are working with whole numbers, so there might be some rounding involved in the manager's estimate. It's possible that the manager rounded up to 450 for simplicity or other reasons.

Given the small discrepancy of 5 picks between the calculated value and the manager's estimate, it is reasonable to conclude that the manager's estimate is close enough to the actual number of picks. The discrepancy could be due to rounding or a small counting error. It's unlikely to have a significant impact on the store's operations or inventory management.

In summary, while the manager's estimate of 450 guitar picks may not be exactly accurate, it is reasonably close to the actual remaining number of picks based on the given information.

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Answer:

Step-by-step explanation:

smelly a becasue

Answer:

Step-by-step explanation:

volume = ⅓πr²h

8792 = ⅓π20²h

h = 8792*3/(400π) ≅ 21 mm

:::::

s = √(h²+r²) = √(21²+20²) = 29 mm

:::::

The ant crawls up the side of the cone, 29 mm

The area and circumference of the circles are solved

Given data ,

Let the area and circumference be represented as A and C

Now , the circles are

Circumference of circle = 2πr

Area of the circle = πr²

a)

Radius = 7 m

C = 2 ( π ) ( 7 )

C = 43.98 m

A = π ( 7 )²

C = 153.938 m²

b)

Diameter = 30 feet

C = 2 ( π ) ( 15 )

C = 94.24 feet

A = π ( 15 )²

C = 706.858 feet²

c)

Radius = 10.2 inches

C = 2 ( π ) ( 10.2 )

C = 64.088 inches

A = π ( 10.2 )²

C = 326.85 inches²

d)

Diameter = 9 mm

C = 2 ( π ) ( 4.5 )

C = 28.274 mm

A = π ( 4.5 )²

C = 63.617 mm²

Hence , the circles are solved

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The distance is 5 units

Answer:

5 units

Step-by-step explanation:

count the blocks from -2 to 3

Answer:

f(2) = 9

Step-by-step explanation:

Answer:

okay i will gladly

The type of sampling described, where the researchers intentionally select a sample with 50% straight and 50% LGBTQ+ respondents, is known as "disproportionate stratified sampling."

A. Disproportionate stratified sampling involves dividing the population into different groups (strata) based on certain characteristics and then intentionally selecting a different proportion of individuals from each group. In this case, the researchers are dividing the population based on sexual orientation (straight and LGBTQ+) and selecting an equal proportion from each group.

B. Availability sampling (also known as convenience sampling) refers to selecting individuals who are readily available or convenient for the researcher. This type of sampling does not guarantee representative or unbiased results and may introduce bias into the study.

C. Snowball sampling involves starting with a small number of participants who meet certain criteria and then asking them to refer other potential participants who also meet the criteria. This sampling method is often used when the target population is difficult to reach or identify, such as in hidden or marginalized communities.

D. Simple random sampling involves randomly selecting individuals from the population without any specific stratification or deliberate imbalance. Each individual in the population has an equal chance of being selected.

Given the description provided, the sampling method of intentionally selecting 50% straight and 50% LGBTQ+ respondents represents disproportionate stratified sampling.

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Answer:

Step-by-step explanation:

When you square a number, whether it's positive or negative, the square is always positive.  That is, a2 is positive whether a is positive or negative.  Examples:

12 = 1 x 1 = 1

(-1)2 = (-1) x (-1) = 1

52 = 5 x 5 = 25

(-5)2 = (-5) x (-5) = 25

Since the answer is always positive, you don't need the absolute value signs: |a2| = a2.

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Answer:

x=7°

Step-by-step explanation:

The figure is a triangle.

1. Triangles's angles add up to 180°.

2. We know that 1 angle measures 104°, so the remaining 2 angles add up to 76°. It is an isosceles triangle, so both of the remaining 2 angles have equal measures.

3. 76÷2=38°.

4. 9x-25°=38°

5. 63°-25°=38°

6. 9x=63°

7. x=7°

Step by step explanation above. Hope it is correct!

The three (3) statements which are true include the following:

A. The radius of the circle is 3 units.

B. The center of the circle lies on the x-axis.

D. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

In Mathematics, the standard form of the equation of a circle is represented by this mathematical expression;

(x - h)² + (y - k)² = r²   ....equation 1.

Where:

From the information provided above, we have the following equation of a circle:

x² + y² – 2x – 8 = 0      ......equation 2.

In order to determine the true statements, we would rewrite the equation in standard form and then factorize by using completing the square method:

x² – 2x + y² = 8 = 0

x² – 2x + (2/2)² + y² = 8 + (2/2)²

x² – 2x + 1 + y² = 8 + 1

(x – 1)² + (y - 0)² = 9         .......equation 3.

Comparing equation 1 and equation 3, we have the following:

Center (h, k) = (1, 0)

Radius (r) = 3

Additionally, this line and the center of the given circle lies on the x-axis (x-coordinate) because the y-value is equal to zero (0).

(x – 0)² + (y - 0)² = 3²

x² + y² = 9.

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Between 1 and 1990, there are 2,475 integers for which the improper fraction (n^2 * 7) / (n * 4) is not in its lowest terms.

To determine when the fraction is not in lowest terms, we need to find values of n for which the numerator and denominator share a common factor greater than 1. Simplifying the fraction, we get (n * 7) / 4. For the fraction to be in lowest terms, n and 4 must be coprime, meaning they have no common factors other than 1. To find the values of n that violate this condition, we need to identify the multiples of 4 within the range 1 to 1990. There are 497 multiples of 4 in this range. However, since we are looking for values of n, we need to subtract 1 to exclude the multiple 0, yielding 496. Therefore, there are 496 values of n that do not satisfy the coprime condition. Subtracting this from the total number of integers in the range (1990 - 1 = 1989), we find that 1989 - 496 = 1493 integers yield the fraction in lowest terms. Finally, subtracting this number from the total number of integers (1990 - 1), we find that 1990 - 1493 = 497 integers give the fraction (n^2 * 7) / (n * 4) in lowest terms.

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The nature and scope of the conclusion that a study can reach refers to the limitations and generalizability of the results obtained.

It depends on the research design, methodology, and sample size used. The conclusion can only be applied to the specific population and conditions studied.

The study may also have limitations due to biases or confounding variables that can affect the validity of the conclusion. To have a stronger conclusion, it is important to have a well-designed study with a large and representative sample, and to control for extraneous variables.

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Answer:

Data A - 5

Data B - 5

Data C - 5

Data D - 6

Step-by-step explanation:

Data A,

Graph for the data shows that there is a distinct value of y (output value) for every input value of x.

Therefore, Data A is a function.

Data B,

Each ordered pair shows exactly one output value for each input value.

Therefore, Data B represents a function.

Data C,

For each input value there is exactly one output value.

Therefore, Data C represents a function.

Data D,

From the given table,

For x = -1 there are two output values y = 27, 39

For x = -2 output values are y = 45, 21

Since for these input values there are two output values, Data D will not be a function.

Answer:

42×15=x.....................

Step-by-step explanation:

:)

There are three solutions for the system of equations.

Now, The system of equations have:

x - y = -4   __(1)

\(y = \sqrt{2x+3}-2\) ___(2)

=> From equation (1)

x + 4 = y

Substitute the values of y as 4 + x

x + 4 = \(\sqrt{2x+3}-2\)

Now, Collect like terms:

x + 4 + 2 = √ 2x + 3

x + 6 = √ 2x + 3

Squaring on both sides:

\((x+6)^2=(\sqrt{2x+3} )^2\)

(x + 6)(x + 6) = 2x + 3

\(x^{2} +12x+36\) = 2x + 3

\(x^{2}\) + 12x - 2x + 36 - 3 = 0

\(x^{2}\) - 10x + 33 = 0

Factories the common factor:

\(x^{2} -\) 5x -5x + 25 + 8 = x (x -5)-5(x - 5) + 8 = (x -5)(x - 5)+ 8

= (x-5)^2 + 8

Therefore, x = 5 and 8

When we put x = 5 in eqn (1) we get:

5 - y = -4

-y = -4 - 5

y = 11

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Answer:

-3

Step-by-step explanation:

2·3-9

6-9 = -3

The system with impulse response g(t, t) = e^(-2|t|^-|t|) is not BIBO stable, while the system with impulse response g(t, t) = sin(t)e^(-(-t^2)) is BIBO stable.

To determine if a system is BIBO (Bounded-Input Bounded-Output) stable, we need to analyze the impulse response of the system.

For the first system with impulse response g(t, t) = e^(-2|t|^-|t|), let's examine its behavior. The function e^(-2|t|^-|t|) decays rapidly as |t| increases. However, it does not decay fast enough to satisfy the condition for BIBO stability, which requires the integral of |g(t, t)| over the entire time axis to be finite. Since the integral of e^(-2|t|^-|t|) diverges, the first system is not BIBO stable.

For the second system with impulse response g(t, t) = sin(t)e^(-(-t^2)), the term e^(-(-t^2)) represents a Gaussian function that decays exponentially. The sinusoidal term sin(t) can oscillate, but it is bounded between -1 and 1. As the exponential decay ensures that the impulse response is bounded, the second system is BIBO stable.

In summary, the system with impulse response g(t, t) = e^(-2|t|^-|t|) is not BIBO stable, while the system with impulse response g(t, t) = sin(t)e^(-(-t^2)) is BIBO stable.

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The dimensions of the scale drawing is length = 168 inches and width = 126 inches

Scale drawing helps to represent surfaces on earth in a paper by either enlarging its dimension, reducing its dimension by a constant factor called the scale factor.

The conversion or scale factor is 21 inches = 4 meters

If 21 inches = 4 meters,

then 1 meter = 21/4 inches

32 meters inches = 32 x 21/4 = 168 inches

24 meters = 24 x 21/4 = 126 inches.

In conclusion, length of the scale drawing is 168 inches and width of the scale drawing iss 126 inches

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The distance between the 1st and the 3rd poles is 140 meters.

What is the arithmetic operation?

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more quantities. Included in them is the study of numbers, especially the order of operations, which is important for all other areas of mathematics, including algebra, data management, and geometry. The rules of arithmetic operations are required in order to answer the problem.

ESB poles are placed along a road 70 meters apart.

So the distance between two poles is 70 meters.

So the distance between 1 and 3rd will be = 2*70 =140metets

Hence, the distance between the 1st and the 3rd poles is 140 meters.

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Complete Question:
Esb poles are placed along a road 70 metres apart. What is the distance between the 1st and the 3rd poles?

The system of equations that matches the given graph is:

A. 3x - 6y = 12

9x - 18y = 36

To determine which system of equations matches a given graph, we need to analyze the slope and intercepts of the lines in the graph.

Looking at the options provided:

A. 3x - 6y = 12

9x - 18y = 36

B. 3x + 6y = 12

9x + 18y = 36

Let's analyze the equations in each option:

For option A:

The first equation, 3x - 6y = 12, can be rearranged to slope-intercept form: y = (1/2)x - 2.

The second equation, 9x - 18y = 36, can be simplified to 3x - 6y = 12, which is the same as the first equation.

In option A, both equations represent the same line, as they are equivalent. Therefore, option A does not match the given graph.

For option B:

The first equation, 3x + 6y = 12, can be rearranged to slope-intercept form: y = (-1/2)x + 2.

The second equation, 9x + 18y = 36, can be simplified to 3x + 6y = 12, which is the same as the first equation.

In option B, both equations also represent the same line, as they are equivalent. Therefore, option B does not match the given graph.

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The surface area of that part of the plane 10x+7y+z=4 that lies inside the elliptic cylinder \(\frac{x^2}{25} +\frac{y^2}{9}\) is 15π√150 and this can be determined by using the given data.

We are given the two equations are:

10x + 7y + z = 4---------(1)

\(\frac{x^2}{25} +\frac{y^2}{9} =1-------------(2)\)

equation(1) is written as

z = 4 - 10x - 7y-----------(3)

The surface area is given by the equation:

A(S) = ∫∫√[(∂f/∂x)² + (∂f/∂y)² + 1]dA------------(4)

compare equation(4) with equation(3) we get the values of ∂f/∂x and

∂f/∂y

∂f/∂x = -10

∂f/∂y = -7

substitute these values in equation(4)

A(S) = ∫∫√[(-10)² + (-7)² + 1]dA

A(S) = ∫∫√[100 + 49 + 1]dA

A(S) = ∫∫√[150]dA

A(S) = √150 ∫∫dA

Where ∫∫dA is the elliptical cylinder

From the general form of an area enclosed by an ellipse with the formula;

comparing x²/a² + y²/b² = 1  with x²/25 + y²/9 = 1, from that we get the values of a and b

a = 5 and b = 3

So, the area of the elliptical cylinder = πab

Thus;

A(S) = √150 × π(5 × 3)

A(S) = 15π√150

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Answer:

2 cups

Step-by-step explanation:

To translate one-step equations, you need to understand the language of algebra.

Algebraic expressions involve variables, numbers, and operations such as addition, subtraction, multiplication, and division. One-step equations require only one operation to isolate the variable, making them easy to solve.

To write an equation to represent the statement "15 is 9 more than j," you can use the equation 15 = j + 9. This equation says that 15 is equal to j plus 9. To solve for j, you need to isolate j on one side of the equation by subtracting 9 from both sides. This gives you the equation j = 6.

To solve the equation j % 3 = c, you need to understand the modulus operator, which gives you the remainder when two numbers are divided. In this case, j % 3 means the remainder when j is divided by 3. To solve for j, you need to multiply both sides of the equation by 3, which gives you the equation j = 3c.

In summary, to translate one-step equations, you need to understand the language of algebra and the operations involved. To solve for variables, you need to isolate them on one side of the equation. And to solve equations involving the modulus operator, you need to understand how it works and how to apply it to solve for variables.

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The f′(a) when a = −6 is -7. This means that the slope of the tangent line of the graph of f(x) at x = -6 is -7.

To compute f′(a) algebraically for the given value of a, we use the following differentiation rule which is known as the Power Rule.

This states that:If f(x) = xn, where n is any real number, then f′(x) = nxⁿ⁻¹This is valid for any value of x.

Therefore, we can differentiate f(x) = −7x + 5 with respect to x using the power rule as follows:

f(x) = −7x + 5

⇒ f′(x) = d/dx (−7x + 5)

⇒ f′(x) = d/dx (−7x) + d/dx(5)

⇒ f′(x) = −7(d/dx(x)) + 0

⇒ f′(x) = −7⋅1 = −7

Hence, the derivative of f(x) with respect to x is -7.Now, we evaluate f′(a) when a = −6 as follows:f′(x) = −7 evaluated at x = −6⇒ f′(−6) = −7

Therefore, f′(a) when a = −6 is -7. This means that the slope of the tangent line of the graph of f(x) at x = -6 is -7.

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Answer:

There are 10 choices for each digit, so the probability of not selecting any 1's is (9/10)^4. Therefore, the probability that a randomly chosen number between 0000 and 9999 will contain at least one 1 is

\(1 - {( \frac{9}{10}) }^{4} = .3439 = 34.39\%\)

Out of every 1000 4-digit numbers between 0000 and 9999, we can expect around 474 of them to contain at least one digit that is 1. This probability can also be expressed as a percentage, which is approximately 47.4%.

The probability that a randomly chosen number between 0000 and 9999 contains at least one digit that is 1 can be calculated by finding the complement of the probability that the number does not contain any digit that is 1.
The probability that a number between 0000 and 9999 does not contain any digit that is 1 is equal to the probability of choosing a digit from the set {0, 2, 3, 4, 5, 6, 7, 8, 9} for each of the four digits in the number. Since each digit has 9 possible choices, the total number of possible 4-digit numbers is 9^4 = 6561. Therefore, the probability of choosing a number that does not contain any digit that is 1 is (8/9)^4 = 0.526.
The complement of this probability is the probability of choosing a number that contains at least one digit that is 1, which is equal to 1 - 0.526 = 0.474. Therefore, the probability that a randomly chosen number between 0000 and 9999 contains at least one digit that is 1 is approximately 0.474.
In other words, out of every 1000 4-digit numbers between 0000 and 9999, we can expect around 474 of them to contain at least one digit that is 1. This probability can also be expressed as a percentage, which is approximately 47.4%.

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The required range of the given function g(x) = -1/2 |x-6| + 1 will be g(x) ≤ 1 or in internal notation form as (-∞, 1]. which is the correct answer would be an option (A).

The function is given in the question below as:

g(x) = -1/2 |x-6| + 1

We have to determine the range of the given function.

As per the given question, we have

⇒ g(x) = -1/2 |x-6| + 1

The range of an absolute function of the form:-

c|ax+b|+k is :f (x) ≤ k

In this case k = 1

⇒ g(x) ≤ 1

\(\mathrm{Range\:of\:}-\frac{1}{2}\left|x-6\right|+1:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\le \:1\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:1]\end{bmatrix}\)

Therefore, the required range of the given function will be g(x) ≤ 1 or in internal notation form as (-∞, 1].

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