2x - (-4x + 5b). x = 2. b = -5

Answer:

10x-610x6

The equation 10x-610x6 has no real solutions because it cannot be solved for any value of x. The left side of the equation is 10x-6, and the right side is 10x+6. Since the left side is greater than the right side, no value of x can make the equation true.

Refer to the image attached.

The cosine function that would model the tide situation for this beach is given as follows:

y = -3cos(πx/12) + 1.

The function is at it's minimum value at the origin, hence it is a reflected cosine function, defined as follows:

y = -Acos(Bx) + C.

The parameters are given as follows:

The minimum value is of -2, while the maximum value is of 4, for a difference of 6, hence the amplitude of the function is given as follows:

2A = 6

A = 6/2

A = 3.

With no vertical shift, the function should oscillate between -A = -3 and A = 3, but it oscillates between -2 and 4, hence the vertical shift is given as follows:

C = 1.

The period is of 24 hours, hence the coefficient B is given as follows:

2π/B = 24

24B = 2π

B = π/12.

Hence the function is defined as follows:

y = -3cos(πx/12) + 1.

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Answer:

x = -1, y = 1

Step-by-step explanation:

2x - 3y = -5

3x + y = -2

2x - 3y = -5

9x + 3y = -6

11x = -11

x = -1

-3 + y = -2

y = 1

x = -1, y = 1

Answer: 186 cubic in

Step-by-step explanation:

Answer:

the formula for this is y=mx+b

b stands for the y, m is the slope of the line,  and x stands for the x axis!

Step-by-step explanation:

i am pretty sure your answer is -1.4

hope this helps I to help you out attached a screenshot

The number of students in mrs. Smith's class in exponent form is 3⁷.

Given that, Mrs. Smith has 3¹⁰ pencils in her classroom. Each student gets 3³ pencils.

Let the number of students in the class be represented by n.

To get the number of students in the class, divide the total number of pencils by the number of pencils each student got.

n = Total number of pencils ÷ Number of pencils each student gets

n = 3¹⁰ ÷ 3³

Since they both have the same base, we subtract the exponents

n = 3¹⁰ ⁻ ³

n = 3⁷

Therefore, the number of students is 3⁷.

Option D) 3⁷ is the correct answer.

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Answer:

30 cm²

Step-by-step explanation:

The formula to find the area of a parallelogram.

Area = Base × Height

Accordingly, let us find the area.

Area = Base × Height

Area = 10 cm × 3 cm

Area = 30 cm²

Answer:

See below

Step-by-step explanation:

The roots aka solutions to a quadratic equation in standard form:
[tex]ax^2 + bx + c = 0[/tex]
are given by

[tex]x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{ 2a }[/tex]

The term under the square root sign, [tex]b^2 - 4ac[/tex] is called the discriminant

The type and number of roots are determined by the sign of the discriminant

When [tex]b^2 - 4ac = 0[/tex]  there is one real root.
When [tex]b^2 - 4ac > 0[/tex]  there are two real roots.
When [tex]b^2 - 4ac < 0[/tex]  there are two complex(imaginary) roots.

Answer:

Step-by-step explanation:

The correct statements regarding the function are given as follows:

A function f(x) is continuous at x = a if it is defined at x = a, and the lateral limits are equal, that is:

[tex]\lim_{x \rightarrow a^-} f(x) = \lim_{x \rightarrow a^+} f(x) = f(a)[/tex]

To the left of x = 2, the graph of the function approaches x = 2 at y = 2, hence:

lim x-> 2^- f(x) = 2.

To the right of x = 2, the graph of the function approaches x = 2 at y = 1, hence:

lim x-> 2^+ f(x) = 1.

Due to the different lateral limits, the function is not continuous at x = 2, and the limit is not defined.

Due to the closed circle, the function is defined at x = 2, with a numeric value of y = 2.

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On solving the provided question we can say that Variable, semi-variable, fixed, and variable is the right answer, hence it is (D).

A variable is something that may be changed in the setting of a math concept or experiment. Variables are often represented by a single symbol. The characters x, y, and z are often used generic symbols for variables. Variables are characteristics that can be examined and have a large range of values.

A semi-variable cost (Mixed)

Cost A's overall cost rises as manufacturing volume grows, but the per-unit cost stays the same. This implies that there are two types of costs: fixed and variable.

B: Variable Cost

The manufacturing volume directly correlates with the overall cost of Cost B. This suggests that the price is purely arbitrary.

Price C: Fixed

Regardless of the volume of output, the overall cost of Cost C is constant. This suggests that the price is set in its entirety.

D: Variable Cost

The manufacturing volume directly correlates with the overall cost of Cost D. This suggests that the price is purely arbitrary.

Variable, semivariable, fixed, and variable is the right answer, hence it is (D).

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Answer:

Fruit mass = 63.2 g

Biscuit mass = 94.8 g

Step-by-step explanation:

Since the ratio of fruit mass to biscuit mass is 2:3, the fraction of fruit mass to the total of fruit and biscuit mass is 2/5 and the fraction of biscuit mass to the total of fruit and biscuit mass is 3/5.

For Monkey A, the total of fruit and biscuit mass is 73 g, which means that the fraction of fruit mass is 2/5 × 73 g = 29.2 g and the fraction of biscuit mass is 3/5 × 73 g = 43.8 g. Therefore, the values for fruit mass and biscuit mass are:

Fruit mass = 29.2 g

Biscuit mass = 43.8 g

For Monkey B, the total of fruit and biscuit mass is 73 + 85 = 158 g, which means that the fraction of fruit mass is 2/5 × 158 g = 63.2 g and the fraction of biscuit mass is 3/5 × 158 g = 94.8 g. Therefore, the values for fruit mass and biscuit mass are:

Fruit mass = 63.2 g

Biscuit mass = 94.8 g

Answer:

Decreased by 19%.

-------------------------------

Decrease by of x 10% can be shown as a product of x and:

Same applies to the second decrease, then we get a final number:

It represent a one off decrease of:

Hence the answer is 19%.

Answer:

Step-by-step explanation:

100 - 100/10 = 90

90 - 90/10 = 91

100 - 81 = 19%

for a better understanding look at the figure

The percent change from $45.00 to $68.75 is approximately 52.8%.

Finding the difference between two values in a time series and multiplying it by 100 after dividing it by the initial value yields the percentage change between the two values.

We employ the following formula to determine the percentage difference between two values:

(New Value - Old Value) / Old Value * 100% is the formula for percent change.

The former value in this instance was $45.00, whereas the new value is $68.75.

Adding these values to the formula yields the following results:

($68.75 - $45.00) / $45.00 * 100% is the percent difference.

percent modification: (23.75% / (45.00%) * 100%

52.8% change in percentage

As a result, the percentage increase from $45.00 to $68.75 is almost 52.8%.

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The value of BC is 9cm.

What is a similar triangle?

If two triangles have the same shape or have the same shape as their mirror images, they are said to be comparable. One can be created from the other more precisely by evenly scaling, possibly with the inclusion of further translation, rotation, and reflection.

Here, we have

Given: BA = 6cm, AC = 8cm

BC =?

In a similar triangle, their side is also proportional.

BA/ED = AC/DF = BC/EF

BA/ED = BC/EF

6/18 = BC/27

18BC = 6×27

BC = 6×27/18

BC = 9cm

Hence, the value of BC is 9cm.

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Answer:

Step-by-step explanation:

ITS GOING LEFT AND RIGHT HOPE THIS HELPS IF NOT TEXT ME PLSS .

The roots of the quadratic equation 4x^2 + 21 = -20x in simplest form are    x = -1/2 and x = -7/2.

What is quadratic formula ?
The quadratic formula is a standard formula used to solve quadratic equations of the form ax^2 + bx + c = 0, where a, b, and c are constants and x is the variable. It is derived using the method of completing the square and provides a simple way to find the roots (or solutions) of the quadratic equation.

The quadratic formula is:

x = (-b ± √(b^2 - 4ac)) / 2a

Steps to be followed:

To solve the quadratic equation 4x^2 + 21 = -20x using the quadratic formula, we first need to rearrange the equation in standard quadratic form, which is ax^2 + bx + c = 0. In this case, we have:

4x^2 + 20x + 21 = 0

So, we can identify a = 4, b = 20, and c = 21. Now we can substitute these values into the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / 2a

Plugging in the values of a, b, and c, we get:

x = (-20 ± √(20^2 - 4(4)(21))) / 2(4)

Simplifying the expression under the square root, we get:

x = (-20 ± √(400 - 336)) / 8

x = (-20 ± √64) / 8

x = (-20 ± 8) / 8

This gives us two possible solutions:

x = (-20 + 8) / 8 = -1/2

x = (-20 - 8) / 8 = -7/2

Therefore, the roots of the quadratic equation 4x^2 + 21 = -20x in simplest form are x = -1/2 and x = -7/2.

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The simplified expression is 25/9, of the given expression. 4 + (5/3)² − 2².

What is the exponentiation?

An exponential function is a mathematical function of the following form: f (x) = ax. where x is variable, and a is a constant called the base of the function. The most commonly encountered exponential-function base is the transcendental number e, which is equal to approximately

To simplify the expression, we need to follow the order of operations, which is:

Evaluate any expressions inside parentheses or brackets.

Exponents (ie, powers and square roots, etc.)

Multiplication and Division (from left to right)

Addition and Subtraction (from left to right)

Using this order, we can simplify the expression as follows:

4 + (5/3)² - 2²

= 4 + (25/9) - 4                     ..........5/3 squared is 25/9 and 2 squared is 4

= (36/9) + (25/9) - (36/9)         ..........rewrite 4 as 36/9 to have a common denominator of 9

= 25/9

Therefore, the simplified expression is 25/9.

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Answer:

[tex]\sf{The\;Marginal\;Revenue\;} $MR(8) = \boxed{288} \;dollars per unit$}[/tex]

Step-by-step explanation:

What is Marginal Revenue?
Marginal Revenue is the revenue that is gained from the sale of an additional unit. It is the revenue that a company can generate for each additional unit sold

Given the equation for revenue function
[tex]R(q) = -7q^2+400q[/tex]

the Marginal Revenue [tex]MR(q)[/tex] is the first derivative of this function wrt [tex]q[/tex]

[tex]MR(q) = \dfrac{d}{dq}\left(R(q)\right)\\= \dfrac{d}{dq}(-7q^2 + 400q)\\\\= \dfrac{d}{dq}(-7q^2) + \dfrac{d}{dq}(400q)\\\\= -14q + 400\\\\[/tex]

For [tex]q = 8,[/tex] this works out to:

[tex]MR(8) = -14(8) + 400\\\\= -112 + 400\\\\= 288[/tex]

And that is the answer

Step-by-step explanation:

is given above in the pdf

a) The probability that a survivor was male is:

142/450 = 0.315

b) The probability that a survivor was in the 2nd class is:

119/450 = 0.264

c) The probability that a survivor was a male, given that the person was in the 2nd class is:

25/119 ≈ 0.210

d) The probability that a survivor was a male and in the 2nd class is:

25/450 ≈ 0.056

e) The probability that a survivor was a male or in the 2nd class is:

P(male or 2nd class) = P(male) + P(2nd class) - P(male and 2nd class)

= 142/450 + 119/450 - 25/450

= 236/450

= 0.524

The triangle XYZ has a scale factor of 2.53 and hence side length XY is

7.6 units.

The scale factor defines a variable in a ratio of two different measurements.

Sometimes drawings of large models are represented in a scale factor of a smaller unit.

Given, The side WV, of the triangle UVX is 6 and the corresponding side XZ  of triangle 15.2.

So, The scale factor is 15.2/6 = 2.53.

Therefore, The side length XY = 3×2.53 = 7.6.

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The key features of this rational function include the following:

Domain: (-∞, 1) ∪ (1, ∞)

Range: (-∞, 3) ∪ (3, ∞)

Y-intercept: -5.

X-intercept: 5/3.

Vertical asymptote: x = 1.

Horizontal asymptote​: y = -3.

In Mathematics, a rational function simply refers to a type of function  which is expressed as a fraction. This ultimately implies that, a rational function is composed of two (2) main parts and these include the following:

In order to graph any rational function, you should determine the values for which it is undefined. This ultimately implies that, a function is considered as undefined when the value of the denominator is equal to zero, which represents vertical asymptote lines.

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We receive the ratio as follows:

7/17.5 = 12/x

We can cross-multiply and solve for x to determine x:

7x = 17.5 × 12

7x = 210

x = 210/7

x = 30

Hence, x has a value of 30 cm.

Measuring is a method that involves comparing an object's characteristics to a reference value to ascertain its attributes. The primary metric for expressing any quantity of items, things, and occurrences is measurement.

In a number of branches of mathematics, we work with several fundamental categories of measurement variables. As follows:

The fundamental idea in the study of science and mathematics is measurement. The qualities of an object or event can be quantified so that we can compare them to those of other objects or occurrences. When discussing the division of a quantity, measurement is the word that is used the most frequently. Also, in that, it requires a specific number of items to complete a specific task. We frequently encounter many measurements kinds for length, weight, times, etc. in our daily lives.

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The area of the shaded region is  235.5 m².

To find the area of the shaded region, we need to subtract the area of the inner circle from the area of the outer circle.

The outer radius of the ring can be found by adding the width of the ring to the inner radius:

Outer radius = inner radius + width

= 11 m + 3 m

= 14 m

The area of a circle is given by the formula:

Area = π × (radius)²

Therefore, the area of the inner circle is:

Area of inner circle = π × (11 m)²

= 121π m²

And the area of the outer circle is:

Area of outer circle = π × (14 m)²

= 196π m²

To find the area of the shaded region, we need to subtract the area of the inner circle from the area of the outer circle:

Area of shaded region = Area of outer circle - Area of inner circle

= 196π m² - 121π m²

= 75π m²

= 75 x 3.14

= 235.5 m²

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The value of the expression P-q will be 16. The correct option is C.

In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.

To find the value of p - q, we need to eliminate r from the two equations given to us.

We can do this by solving for r in one of the equations and then substituting that expression into the other equation.

Let's solve for r in the equation p - r = 11:

r = p - 11

Now we can substitute this expression for r into the equation q - r = -5:

q - (p - 11) = -5

Simplifying this equation by distributing the negative sign, we get:

q - p + 11 = -5

Subtracting 11 from both sides, we get:

q - p = -16

Therefore, p - q = -(q - p) = -(-16) = 16.

So the answer is 16.

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In the given situation where ∠A and ∠C are supplementary, the angle ∠C is 106°.

Angles that add up to 180 degrees are referred to as supplementary angles.

For instance, angle 130° and angle 50° are complementary angles since the sum of these two angles is 180°.

Two angles are complementary if their sum equals 90 degrees, and supplementary if their sum equals 180 degrees.

Because the three angles of a triangle sum up to 180° and the right angle has already taken up 90°, the two non-right angles in a right-angled triangle are complementary.

We say two angles "Complement" one other when their sums equal 90 degrees.

So, we already are aware of that:

∠A and ∠C are supplementary

∠A is 74°

Then, ∠C would be:

∠A + ∠C = 180

74 + ∠C = 180

∠C = 180 - 74

∠C = 106

Therefore, in the given situation where ∠A and ∠C are supplementary, the angle ∠C is 106°.

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Correct question:

Angles A and C are supplementary. Find the measure of angle C.

(Refer to the image below)