I NEED HELP ON THIS ASAP!!!

The solution to the given linear inequality is given in the graph.

What is linear inequality?

Inequality denotes a mathematical expression in which neither side is equal. An inequality occurs when a connection produces a non-equal comparison between two expressions or two integers.

The equal sign "=" in the phrase is substituted by any of the inequality symbols, such as greater than symbol (>), less than symbol (<), greater than or equal to a symbol (≥), less than or equal to a symbol (≤), or not equal to a symbol (≠).

In mathematics, there are three types of inequalities: polynomial inequalities, rational inequalities, and absolute value inequalities.

The symbols "< and '>' represent strict inequalities, whereas  ‘≤’ and ‘≥’ represent slack inequalities.

A linear inequality appears to be a linear equation, however, there is a difference in the formula.

Graph for |2x + 2| ≤ 6 is in the image attached below.

Hence, The solution to the given linear inequality is given in the graph.

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The condition that Frank exemplifies is called decision-making under uncertainty.

Uncertainty refers to a situation where the probabilities of alternative outcomes are unknown, and future outcomes are also uncertain or unpredictable. While decision making under this condition, the decision-maker lacks complete information about the potential outcomes and the likelihood of each outcome occurring.

In this scenario, Frank needs to make a decision without knowing the probabilities of the alternative outcomes or having any knowledge about the future outcomes. Without this information, Frank may have to rely on other strategies, such as using his intuition or making educated guesses, to make his decision.

Frank's inability to know the probabilities of alternative outcomes and the uncertainty about future outcomes demonstrates that he is operating under conditions of uncertainty. This condition can make decision-making challenging because it involves dealing with unknown and unpredictable factors. Decision-makers may need to rely on judgment, intuition, or other qualitative considerations to make decisions in the absence of precise probabilistic information.

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If the whole diameter of sphere is 6 inch(means radius is 3 inch) & thickness of material is 1 inch, so the radius of the hollow part should be 2 inch (3-1=2)

The total volume of the ball will be;

= Total volume - Volume of hollow part

= 4/3πr³ - 4/3πr³

= 4/3 × 3.14 × (3)³ - 4/3×3.14×(2)³

= 4 × 3.14 × 9 - 4/3 × 3.14 × 8

= 113.04 - 33.52

= 79.52

If the density of the material is 3.25 g/in3, then the density of 79.52 inch³ should be;

= 79.52 × 3.25

= 258.44 g

Now, if there are 8 spheres in one box, the weight if box will be;

= 258.44 × 8

= 2,067.52 g

_____________________________

Ahh! Finally done with this, if you have any doubt just do ask me :)

The amount of Chemical  B needed is 1.6 g.

This refers to a diagram that shows a series of one or more points, lines, line segments, curves, or areas that represents the variation of a variable when compared with that of one or more other variables.

The quantity of Chemical B is plotted against the quantity of  Chemical A.

Chemical B  is plotted on the vertical axis using the scale of 1 cm to represent 2 units. Chemical A is plotted on the horizontal axis using the scale of 1 cm to represent 1 unit.

Therefore, on the graph, the line passing through the origin of the graph shows that when  1.4 g of Chemical A is used  1.6 g of Chemical B is needed.

Chemical B  is plotted on the vertical axis using the scale of 1  cm to represent 2 units.

To get the amount of Chemical B is  on vertical axis =  2 grams

                                                                                             5 boxes

                                                                                       =0.4 g

Tracing the mass of Chemical A used 1.4 g it meets the line passing through the center at 4th line (4th box).

To get the amount of Chemical B is  on vertical axis = amount of Chemical B per box * the number of line (boxes).

To get the amount of Chemical B is  on vertical axis = 0.4 g * 4 lines (boxes)

                                                                                        = 1.6 g

Hence The amount of Chemical  B needed is 1.6 g.

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The intrinsic value of the PUT option is $0. It means the option has no inherent value based on the given information.

To determine the intrinsic value of a PUT option, we compare the strike price (X) with the current market price (S) of the underlying asset. If the strike price is higher than the market price, the intrinsic value is the difference between the strike price and the market price. However, if the market price is higher than the strike price, the intrinsic value is $0.

In the given information, we have the following data:

- Strike price (X): $90

- Market price (S): $47.78

Since the market price is lower than the strike price (47.78 < 90), the intrinsic value of the PUT option is $0. This means that exercising the option would not result in any profit because it is currently out of the money.

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Step-by-step explanation:

the picture isn't quite clear

The correct answer is:  \(x=\sqrt{28}, m \angle E=37^{\circ}\). Thus, option D is correct by using Pythagorean theorem.

In a right triangle, the Pythagorean theorem states that the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. Mathematically, it can be represented as:

\(c^2 = a^2 + b^2\)

where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

Given that x is the hypotenuse of the right triangle and   \($x = \sqrt{28}$\), we can use the Pythagorean theorem to find the lengths of the other two sides. Since x is the hypotenuse, it will be equal to c in the Pythagorean theorem equation. Plugging in the values, we get:

\((\sqrt{28})^2 = a^2 + b^2\)

\(28 = a^2 + b^2\)

Now, we are given the measure of \(\angle E\) which is  \(37^{\circ}\). In a right triangle, one angle is always  \(90^{\circ}\), so the sum of the measures of the other two angles will be \(90^{\circ}\) . Therefore, angle  must be one of the acute angles of the right triangle.

To find the value of a and b, we can use trigonometric ratios. In a right triangle, the sine, cosine, and tangent ratios are commonly used.

For \($\angle E$\), we can use the sine ratio, which is defined as:

\($\sin(\text{angle}) = \frac{\text{opposite}}{\text{hypotenuse}}$\)

In our case, the opposite side of   \($\angle E$ is $a$\) and the hypotenuse is x. Plugging in the values, we get:

\($\sin(37^{\circ}) = \frac{a}{\sqrt{28}}$\)

Solving for a, we get:

\($a = \sin(37^{\circ}) \cdot \sqrt{28}$\)

Similarly, we can use the cosine ratio to find b. The cosine ratio is defined as:

\(\cos(\text{angle}) = \frac{\text{adjacent}}{\text{hypotenuse}}\)

In our case, the adjacent side of angle E is b and the hypotenuse is x. Plugging in the values, we get:

\($\cos(37^{\circ}) = \frac{b}{\sqrt{28}}$\)

Solving for b, we get:

\(b = \cos(37^{\circ}) \cdot \sqrt{28}\)

Therefore, , the correct answer is The correct answer is:  \(x=\sqrt{28}, m \angle E=37^{\circ}\), as given in option \(x=\sqrt{28},\) m \(\angle E=37^{\circ}$.\)

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9

Step-by-step explanation:

15x+12=19x-24

15x-19x=-24-12

-4x=-36/÷(-4)

x=9

You first put all the x on one side and numbers on the other and be careful about + and - and then you divide by everything with the x so you have only the x left and you get the aswer.

Answer:

x=9

Step-by-step explanation:

Learned it in math class, hope this helps:)

Answer:

118.............................

Answer:

C

Step-by-step explanation:

Taking a square root of a number that doesn't have a square root like \(\sqrt{17}\) will result in an infinite number of random digits which is an irrational number. Hence, C is the answer.

D isn't the answer because even though \(\sqrt{5}\) is irrational, you're adding \(\sqrt{5}\) and then subtracting \(\sqrt{5}\) from the total sum. Hence the total sum would be 5+14.

5+\(\sqrt{5}\)+14-\(\sqrt{5}\) =5+14+\(\sqrt{5}\)-\(\sqrt{5}\)= 5+14 ==> 19 is a rational number

Answer:

30

Step-by-step explanation:

Using fundamental counting principle, the total total number of outfits that can be worn is  6.

A way for keeping track of all the possible outcomes in a circumstance is the fundamental counting principle.

If there are n ways to carry out one activity and m ways to carry out another activity after that, then there are n m n times n methods to carry out both of these activities, according to this assertion.

The Fundamental Principle of Counting dictates how choices are made depending on options.

The Fundamental Principle of Counting makes it easier to apply the selection method, which considers all feasible alternatives and their combinations for calculating the probability.

Total number of pants = 2

Total number of shirts = 3

Total number of outfits that can be worn = 3 × 2

= 6

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c=2πr

=2*3.14*12

=75.36 m

it's circumference is 75.36 m

Answer:

about 452.16

Step-by-step explanation:

c = pi r²

12²= 144

pi is about 3.14

144 × 3.14 = 452.16

The projection matrices P1 and P2 onto the lines through vectors a1 and a2, respectively, can be computed by\(P1 = A1(A1^T A1)^(-1)A1^T\) and\(P2 = A2(A2^T A2)^(-1)A2^T\), where A1 and A2 are the matrices formed by the vectors a1 and a2 as columns. The product P1P2 represents the projection onto the subspace spanned by a1 and a2.

Given vectors a1 = (-1, 2, 2) and a2 = (2, 2, -1), we can construct the matrices A1 and A2 as A1 = (-1, 2, 2) and A2 = (2, 2, -1). To compute the projection matrix P1 onto the line through a1, we use the formula \(P1 = A1(A1^T A1)^(-1)A1^T\). Similarly, for the projection matrix P2 onto the line through a2, we use the formula\(P2 = A2(A2^T A2)^(-1)A2^T\).

To find the product P1P2, we multiply the projection matrices P1 and P2. The resulting product represents the projection onto the subspace spanned by a1 and a2. This means that any vector projected onto this subspace will be the closest approximation to the original vector within the span of a1 and a2. The product P1P2 combines the projections onto the lines through a1 and a2, effectively projecting the vector onto the plane defined by the span of a1 and a2.

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The slopes of GH, HI, IJ, and JG include the following:

In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = rise/run

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

By substituting the given data points into the formula for the slope of a line, we have the following;

Slope GH = (-3 + 9)/(-4 + 7)

Slope GH = 6/3

Slope GH = 2.

Slope HI = (5 + 3)/(-6 + 4)

Slope HI = -8/2

Slope HI = -4.

Slope IJ = (-1 - 5)/(-9 + 6)

Slope IJ = -6/-3

Slope IJ = 2.

Slope JG = (-9 + 1)/(-7 + 9)

Slope JG = -8/2

Slope JG = -4.

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1. The solutions to the equation x³ ≡ 1 (mod 30) are x ≡ 1, 11, or 19 (mod 30).

2. The equation x³ + 8x - 5 ≡ 0 (mod 125) has a unique solution, which is x ≡ 48 (mod 125).

1. To find the solutions to the equation x³ ≡ 1 (mod 30), we need to find values of x that satisfy the congruence relation. Since 30 can be factored as 2 * 3 * 5, we can solve the congruence modulo 2, 3, and 5 separately.

For the congruence modulo 2, we have x³ ≡ 1 (mod 2). The only possible value for x modulo 2 is x ≡ 1 (mod 2) since any other value cubed will give an odd result.

For the congruence modulo 3, we have x³ ≡ 1 (mod 3). By trying out values of x modulo 3, we find that x ≡ 1 (mod 3) and x ≡ 2 (mod 3) satisfy the congruence.

For the congruence modulo 5, we have x³ ≡ 1 (mod 5). By trying out values of x modulo 5, we find that x ≡ 1 (mod 5), x ≡ 4 (mod 5), and x ≡ 6 (mod 5) satisfy the congruence.

Now, we can use the Chinese Remainder Theorem to find the values of x modulo 30 that satisfy all the congruences. The solutions are x ≡ 1, 11, or 19 (mod 30), as these values satisfy all the individual congruences.

In summary, the solutions to the equation x³ ≡ 1 (mod 30) are x ≡ 1, 11, or 19 (mod 30).

2. To find the solution to the equation x³ + 8x - 5 ≡ 0 (mod 125), we can use the concept of polynomial congruences. We want to find a value of x that satisfies the congruence relation.

We start by trying out values of x modulo 125 and calculate the corresponding value of the polynomial. By doing so, we find that x ≡ 48 (mod 125) is the only value that makes the polynomial congruent to zero modulo 125.

To verify this, we substitute x ≡ 48 (mod 125) into the equation x³ + 8x - 5 and calculate the result modulo 125:

(48)³ + 8(48) - 5 ≡ 110592 + 384 - 5 ≡ 110971 ≡ 0 (mod 125)

Since the result is congruent to zero modulo 125, x ≡ 48 (mod 125) is indeed a solution to the equation.

In conclusion, the equation x³ + 8x - 5 ≡ 0 (mod 125) has a unique solution, which is x ≡ 48 (mod 125).

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The predetermined overhead rate is the estimated manufacturing overhead cost per unit of a specific allocation base.

In the options, there are four different rates:

1. $10.00 / MH (MH stands for machine hour): This means that the estimated manufacturing overhead cost per machine hour is $10.00.

2. $17.50 / MH: This indicates that the estimated manufacturing overhead cost per machine hour is $17.50.

3. $20.00 / MH: This implies that the estimated manufacturing overhead cost per machine hour is $20.00.

4. $32.86 / MH: This shows that the estimated manufacturing overhead cost per machine hour is $32.86.

Each rate represents the estimated cost of manufacturing overhead per unit of the allocation base (machine hour) and is used to allocate overhead costs to products or services based on their usage of the allocation base.

The specific rate chosen depends on the nature of the business, its cost structure, and the accuracy of the estimated overhead costs.

The correct question is ''What is the predetermined overhead rate?\(\( \$ 10.00 / \mathrm{MH} \) \( \$ 17.50 / \mathrm{MH} \) \( \$ 20.00 \) / MH \( \$ 32.86 / \mathrm{MH} \)\).''

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Answer:

=================

How many red roses did she sell?

Answer:

2500 roses are red.

Step-by-step explanation:

The numbers of 8 roses are,

→ r = 4000 ÷ 8

→ [ r = 500 times ]

Then amount of red roses are,

→ r × 5

→ 500 × 5

→ 2500 roses

Thus, answer is 2500 roses.

Answer: ↓↓↓

Step-by-step explanation:

1. a = ?   b = 16  c = 18

a² + b² = c²

a² + (16)² = (18)²

a² +  256 = 324

     - 256   -256

a² = 68

√a² = √68

a ≈ 8.25

2. a = 4     b = 8     c = ?

a² + b² = c²

(4)² + (8)² = c²

16 + 64 = c²

80 = c²

√c² = √80

c ≈ 8.94

Answer:l think it's 6

Step-by-step explanation:

You 1/2×4×3

=6

Answer:

x = {2,3,4}    (if x can only be positive whole numbers)

Step-by-step explanation:

For a triangle exists, the side lengths of the triangle must be such that the sum of the two shorter sides must be greater than the third side.

This also is equivalent to any two sides must have a sum greater than the third side.

So

7+10 > x^2, => x^2 < 17 => x < sqrt(17)     (maximum)

7+x^2 > 10, => x^2 >3 => x > sqrt(3)

Therefore

sqrt(3) < x < sqrt(17)

If x must be an integer,

2< x < 4, or x = {2,3,4}

The solution to the given system of simultaneous equations is x = 1, y = 2, and z = -3. The value of 3 - 2 is 1.

To solve the system of simultaneous equations, we can use the matrix method or any other appropriate method. Here, we'll use the matrix method.

   Representing the system of equations as a matrix equation AX = B, we have:

   A =

   [1 2 -1]

   [3 5 -1]

   [-2 -1 -2]

X =

[x]

[y]

[z]

B =

[6]

[2]

[4]

   To find X, we multiply both sides of the equation by the inverse of matrix A:

   X = \(A^(-1) * B\)

   Calculating the inverse of matrix A, we have:

 \(A^(-1) =\)

   [3/5 -1/5 1/5]

   [-1/5 2/5 -1/5]

   [1/5 1/5 -3/5]

   Multiplying \(A^(-1)\)by B, we obtain:

   X =

   [1]

   [2]

   [-3]

Therefore, the solution to the given system of simultaneous equations is x = 1, y = 2, and z = -3.

Now, let's find the value of 3 - 2:

3 - 2 = 1

Therefore, the value of 3 - 2 is 1.

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The Given statement "If a distribution is normal, then it is not possible to randomly select a value that is more than 4 standard deviations from the mean"  is a true statement.

A normal distribution is a bell-shaped curve that represents how data is spread out around an average value. About 99.99% of the data in a normal distribution falls within 4 standard deviations from the average.

This means that it is very rare to find a data point that is more than 4 standard deviations away from the average. Therefore, if a distribution is normal, it is not possible to randomly select a value that is more than 4 standard deviation from the mean.

The answer is true.

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Answer:

D. 15x10^20

Step-by-step explanation:

The rule for scientific notation is that the coefficient has to be between 1 and less than 10. This means there is only one digit in front of the decimal. 15x10^20 should be written as 1.5x10^21 to follow the rule.

Answer:

Hey there!

e15 times 10^20 isn't written in scientific notation. For a number to be in scientific notation, the leading number must be between 1 and 10.

Let me know if this helps :)

Answer:

I got this! Basically, the instructions say 12 gallons per 3 minutes. So you plug in the 12/3 to find the ratio of how many gallons per 1 minute.

Step-by-step explanation:

So, for the chart you just mulitply and evauluate

Time (min)           | 2 |  3 |  4 |   5  |   6 |

Water used (gal) | 8 | 12 | 16 | 20 | 24 |

Answer:

I agree 7

Step-by-step explanation:

Using property of independent events, there should be 12 sophomore girls present in the class.

If the occurrence of one event has no bearing on the likelihood that the other will also occur, then the two events are independent. The likelihood that both occurrences A and B will occur is defined mathematically as being equal to the product of the probabilities of A and B (i.e., P) (A and B)

Given,

There are twelve freshmen boys, sixteen freshmen girls, and nine sophomore boys

and two events are independent if,

p(A ∩ B) = P(A). P(B)

Let sophomore girls present = x

               Freshmen       sophomore        Total

Boys              12                     9                    21

Girls               16                     x                    16 + x

Total              28                 9 + x                37 + x

P(Boys) = \(\frac{21}{37 + x}\)

P(Freshmen) = \(\frac{28}{37 + x}\)

P(Boys ∩ Freshmen) = \(\frac{12}{37 + x}\)

Using p(A ∩ B) = P(A). P(B),

\(\frac{12}{37 + x} = \frac{21}{37 + x} \times \frac{28}{37 + x}\)

\(12(37 + x) = 21 \times 28\\x = 12\)

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