Write an inequality for each solution set graphed below

Answer:

Step-by-step explanation:

The edge of the square is 12 feet. Then the area of the square is 144 square feet.

All the sides of a square are congruent. Let a be the side length of the square. Then the area of the square is the square of the side length of the square.

Then the area of the square will be

Area of the square = a² square units

A porch tile configuration is developed from a square engraved all around. The circle has a span of 6√2 feet.

The edge of the square is calculated as,

(2r)² = a² + a²

2r² = a²

2 × (6√2)² = a²

2 × 36 × 2 = a²

a² = 144

a = 12 feet

Then the area of the square is calculated as,

A = (12)²

A = 144

The edge of the square is 12 feet. Then the area of the square is 144 square feet.

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Answer: 1/3

Step-by-step explanation:

The probability of selecting a chocolate cream pie can be found by dividing the number of chocolate cream pies by the total number of pies:

Probability of selecting a chocolate cream pie = Number of chocolate cream pies / Total number of pies

Probability of selecting a chocolate cream pie = 4 / 12

Simplifying this fraction by dividing the numerator and denominator by 4 gives:

Probability of selecting a chocolate cream pie = 1/3

Therefore, the probability of selecting a chocolate cream pie from Annie's Pie Shop is 1/3.

Answer:

5,006 :)

Step-by-step explanation:

1 month = 28-31 days

3 weeks = 3 * 7 = 21 days

20 days

Answer: A (1 month).

Answer:

1 month because one month =4 weeks

Step-by-step explanation:

Answer:

Kate is correct

Step-by-step explanation:

Hope i did that in time

Answer:

Tim is correct

Step-by-step explanation:

2 1/2 or 2.5 is equivalent to 10 cups

1qrt = 4 cups

The expressions are simplified to give;

7. 4n³(3n² + 4)

8. -3x(3x² - 4)

9. 5(k² - 8k + 2)

10. -10(6 + 6n² + 5n³)

11. 3(6n³ - 4n - 7)

12. 9(7n³ + 9n + 2)

Algebraic expressions are defined as mathematical expressions that are composed of variables, coefficients, terms, factors and constants.

These algebraic expressions are also made up of arithmetic operations, such as;

To factorize the expressions, we have;

12n⁵ + 16n³

Find the common term

4n³(3n² + 4)

-9x³ - 12x

find the common term

-3x(3x² - 4)

5k² - 40k + 10

find the common terms

5(k² - 8k + 2)

-60 + 60n² + 50n³

find the common term

-10(6 + 6n² + 5n³)

18n³ -12n - 21

find the common term

3(6n³ - 4n - 7)

63n³ + 81n + 18

Find the common term

9(7n³ + 9n + 2)

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The probability that Aaron selects a terrier, given Rebecka selects a poodle, is 1/3.

To find the probability that Aaron selects a terrier, given Rebecka selects a poodle, we need to use conditional probability.

First, we need to find the probability that Rebecka selects a poodle. Since there are four poodles out of seven puppies total, the probability that Rebecka selects a poodle is 4/7.

Next, we need to find the probability that Aaron selects a terrier, given that Rebecka has already selected a poodle. Now there are only three poodles and two terriers left in the store, so the probability that Aaron selects a terrier is 2/6 (or simplified, 1/3).

Putting it all together, we can use the formula for conditional probability:

P(Aaron selects a terrier | Rebecka selects a poodle) = P(Aaron selects a terrier and Rebecka selects a poodle) / P(Rebecka selects a poodle)

Since we know that Rebecka selects a poodle, the numerator is just the probability that Aaron selects a terrier given that there are three puppies left in the store. So:

P(Aaron selects a terrier and Rebecka selects a poodle) = (1/3) * (4/7) = 4/21

And we already calculated that P(Rebecka selects a poodle) = 4/7. So:

P(Aaron selects a terrier | Rebecka selects a poodle) = (4/21) / (4/7) = 1/3

Therefore, the probability that Aaron selects a terrier, given Rebecka selects a poodle, is 1/3.

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Symbolab is an online math tool that offers a wide range of math-related services, including a derivative calculator. The derivative calculator provided by Symbolab is a free tool that allows users to calculate the derivative of a given function with respect to a variable.

To use the Symbolab derivative calculator, you simply need to enter the function you want to differentiate and choose the variable with respect to which you want to differentiate the function. The calculator will then provide you with the derivative of the function in a step-by-step format, including the derivative rules used at each step.

The Symbolab derivative calculator supports a wide range of functions, including trigonometric functions, exponential functions, logarithmic functions, and more. It also supports partial derivatives and implicit differentiation.

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Answer:

To find the dimensions of the fish tank, we can set up the equation:

(width) * (length) * (height) = 1440 cubic inches

Substituting the given expressions for the dimensions of the tank, we get:

(w) * (w + 8) * (18 - w) = 1440

This is a quadratic equation in w, and we can solve it using the quadratic formula:

w = (-(w + 8) +/- sqrt((w + 8)^2 - 4*(18 - w)11440)) / (2*1)

This simplifies to:

w = (-(w + 8) +/- sqrt(w^2 + 16w + 64 - 72w + 5760)) / 2

= (-(w + 8) +/- sqrt(w^2 - 56w + 5760)) / 2

We can further simplify this equation by factoring:

w = (-(w + 8) +/- sqrt((w - 40)(w - 144))) / 2

We can then solve for w by setting each factor equal to zero:

w - 40 = 0 => w = 40

w - 144 = 0 => w = 144

Since the width of the fish tank must be greater than 6 inches, the only valid solution for w is 40 inches. Substituting this value back into the equation for the volume of the tank, we find that the length of the tank is 48 inches (w + 8 = 40 + 8 = 48) and the height of the tank is 12 inches (18 - w = 18 - 40 = 12).

Therefore, the dimensions of the fish tank are:

width: 40 inches

length: 48 inches

height: 12 inches

The correct answer is therefore (a) width: 12 in., length: 20 in., height: 6 in.

Step-by-step explanation:

Answer:

Here, BRX and NJY are two triangles in which,

Step-by-step explanation:

Answer:

10/18 of the sweets are not mint

you can also simplify this fraction and say 5/9

Diagrams attached. A) The shear diagram for a cantilevered beam can be drawn as follows: At the fixed end (left side), there is a reaction force pointing upwards, denoted as R.

Moving along the beam towards the free end, there are no concentrated loads. However, there might be a distributed load acting on the beam.

If there is a distributed load, the shear force will change linearly from the reaction force R to zero as we move towards the free end of the beam.

Plot the values of the shear force on the y-axis of the diagram against the distance along the beam on the x-axis.

B) The moment diagram for a cantilevered beam can be drawn as follows:

Start from the fixed end and move along the beam towards the free end.

At the fixed end, the moment is usually zero.

If there is a concentrated load acting on the beam, the moment will change abruptly at that location.

If there is a distributed load, the moment will change linearly.

Plot the values of the moment on the y-axis of the diagram against the distance along the beam on the x-axis.

Note: Since the specific dimensions and loadings of the cantilevered beam were not provided, the shear and moment diagrams would require additional information to accurately draw them.

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No. the sum of any two lengths of the triangle is greater than the third length.

Option (A) is correct.

Since, A triangle is a polygon with three edges and three vertices. In Euclidean geometry, a triangle is completely determined by the three points that make up its vertices.

Kathy wants to place a printer 9ft from the filing cabinet. Can the other two distances are shown to be 7ft and 2ft.

Hence, No the sum of any two lengths of the triangle should be greater than the third side.

but 7 + 2 = 9,

so the condition for a triangle is false.

Hence, the correct explanation would be "No. the sum of any two lengths of the triangle is greater than the third length."

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Complete question is,

Kathy wants to place a printer 9ft from the filing cabinet. Can the other two distances shown be 7ft and 2ft? Identify the answer with the correct explanation. Printer Desk Filing Cabinet

O Yes; the sum of any two lengths is greater than the third length.

O No; the sum of any two lengths is not greater than the third length.

O Yes; the sum of any two lengths is equal to the third length.

O No; the sum of any two lengths is greater than the third length

The coefficient of correlation in this situation is 0.65.

The coefficient of determination (R-squared) is the square of the coefficient of correlation (r). Therefore, to find the coefficient of correlation in this situation, we need to take the square root of the coefficient of determination.

In this case, the coefficient of determination is 0.4225. Taking the square root of 0.4225 gives us the coefficient of correlation:

Coefficient of correlation (r) = √0.4225

The coefficient of correlation in this situation is 0.65.

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Answer:

Ans: Rs 181.44.

Step-by-step explanation:

The results of the requested operations are as follows g ◦ f(x) = -(x^3), (g ◦ f)^(-1)(x) = ∛(-x), g^(-1)(x) = -x. and f^(-1)(x) = ∛x

Let's break down the given functions and perform the requested operations:

Function f(x) = x^3: This function takes an input x and returns the cube of x.

Function g(x) = -x: This function takes an input x and returns the negation of x.

Now, let's compute the requested operations:

a) g ◦ f (composition of g and f):

To find g ◦ f, we substitute the output of f into g. Applying f(x) = x^3 to g(x), we have g(f(x)) = g(x^3) = -(x^3). Therefore, g ◦ f(x) = -(x^3).

b) (g ◦ f)^(-1) (inverse of g ◦ f):

To find the inverse of g ◦ f, we need to find the function that "undoes" the effect of g ◦ f. Since g ◦ f(x) = -(x^3), the inverse function would be the cube root function, denoted as (g ◦ f)^(-1)(x) = ∛(−x).

c) g^(-1) (inverse of g):

To find the inverse of g, we need to find the function that "undoes" the effect of g(x) = -x. In this case, the inverse function would be the negation of x, g^(-1)(x) = -x.

d) f^(-1) (inverse of f):

To find the inverse of f, we need to find the function that "undoes" the effect of f(x) = x^3. The inverse function of f(x) = x^3 would be the cube root function, f^(-1)(x) = ∛x.

Therefore, the results of the requested operations are as follows:

g ◦ f(x) = -(x^3)

(g ◦ f)^(-1)(x) = ∛(-x)

g^(-1)(x) = -x

f^(-1)(x) = ∛x

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Concentric circles are internally tangent circles which is the true statement.

Geometry is the description of figures in a space with a specific number of dimensions and types. Plane geometry is the most prevalent sort of geometry (dealing with objects like the point, lines, circles, triangles, and polygons)

Concentric circles are circles that have the same center but different radii.

When two concentric circles are drawn, it is possible for them to be internally tangent, meaning that they touch each other at exactly one point and the point of tangency is inside both circles.

In this case, one circle is entirely contained within the other circle.

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The expressions based on the information given are illustrated below

3/4 ÷ 1/2 = 1.5 = quotient is grater than 1

1/2 ÷ 3/4 = 2/3 = quotient is less than 1

2/9 ÷ 1/27 = 6 = quotient is grater than 1

5/3 ÷ 20/6 = 1/2 = quotient is less than 1

4/3 ÷ 3/5 = 20/9 = quotient is grater than 1

19/8 ÷ 2 3/8 = 1 = quotient is equal to 1.

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Answer:

22.5

Step-by-step explanation:

Each ticket costs 1

Answer:

$22.50 for 15 tickets

Step-by-step explanation:

$60 divided by 40 = $1.50 per ticket

$1.50 x 15= $22.50

Answer: no entiendo la estructura de la operacion

Step-by-step explanation:

Answer:

division

Step-by-step explanation:

12-pack of bottled mineral water sells for $3.85

The cost of one bottle of water= $3.85/12= $0.32

Answer:

B

Step-by-step explanation:

\( \tan {}^{2} x) \sin(x) = \tan {}^{2} (x) \)

\( \sin(x) = 1\)

X=

\(\frac{\pi}{2} \)

\(2\pi\)

The probability that exactly 2 employees were over 50 if the dismissed employees were selected at random is 0.2048.

We have to determine the probability that exactly 2 employees were over 50 if the dismissed employees were selected at random. It is given that the town recently dismissed 6 employees to meet their new budget reductions. It is also given that the town had 4 employees over 50 years of age and 17 under 50 years of age. Therefore, total employees in the town = 4 + 17 = 21.

If we assume that all the employees have an equal probability of being selected, then the total number of ways of selecting 6 employees from 21 employees can be given by:21C6 = (21*20*19*18*17*16)/(6*5*4*3*2*1) = 54264Now, the number of ways of selecting exactly 2 employees over 50 from 4 employees over 50 can be given by:4C2 = (4*3)/(2*1) = 6Also, the number of ways of selecting exactly 4 employees under 50 from 17 employees under 50 can be given by:17C4 = (17*16*15*14)/(4*3*2*1) = 2380.

Therefore, the number of ways of selecting 2 employees over 50 and 4 employees under 50 from the total 6 employees can be given by:6C2 * 17C4 = (6*5/2*1) * (17*16*15*14/4*3*2*1) = 3246320.

Hence, the probability that exactly 2 employees were over 50 if the dismissed employees were selected at random is given by:3246320/54264 = 0.2048 (rounded to four decimal places).

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These standardization methods are crucial in chromatography to ensure accurate quantification and comparability of results.

In chromatography, standardization methods are used to ensure accurate and reliable results by establishing reference points or calibration standards. Here are three common methods of standardization in chromatography: External Standardization: In this method, a set of known standard samples with known concentrations or properties is prepared separately from the sample being analyzed. These standards are then analyzed using the same chromatographic conditions as the sample. By comparing the response of the sample to that of the standards, the concentration or properties of the sample can be determined. Internal Standardization: This method involves the addition of a known compound (internal standard) to both the standard solutions and the sample. The internal standard should ideally have similar properties to the analyte of interest but be different enough to be easily distinguished. The response of the internal standard is used as a reference to correct for variations in sample preparation, injection volume, and instrumental response. Internal standardization helps improve the accuracy and precision of the analysis. Standard Addition: This method is useful when the matrix of the sample interferes with the analysis or when the analyte concentration is unknown. It involves adding known amounts of the analyte of interest to different aliquots of the sample. The response of the analyte is then measured, and the concentration is determined by comparing the response with that of the standards. The difference in response between the sample and the standards allows for the determination of the analyte concentration in the original sample.

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The correct option regarding the probabilities of the two events when they are independent are given by:

C. The probability of getting a red convertible is 0.10.

If two events, A and B, are independent, the probability of both events happening is the multiplication of the separate probabilities of each event happening, that is.

P(A and B) = P(A) x P(B).

For this problem, the separate probabilities are given by:

Then, for them to be independent, we need that:

P(A and B) = 0.25 x 0.40 = 0.10.

A and B means a red convertible car, hence the correct option is:

C. The probability of getting a red convertible is 0.10.

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The volume of the tin in cubic meter is equal to 785 cubic meter.

Mathematically, the volume of a cylinder can be calculated by using this formula:

Volume of a cylinder, V = πr²h

Where:

Assuming the radius of the base is 5 cm and the height of this tin is 10 cm, the volume of the tin in cubic meter can be calculated as follows;

Volume of a cylinder, V = 3.14 × 5² × 10

Volume of a cylinder, V = 3.14 × 250

Volume of a cylinder, V = 785 cubic meter.

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Answer:

x=4

Step-by-step explanation:

5x+1/3=7

times by 3

5x+1=21

take away 1

5x=20

divide by 5

x=4