Solve for y.
-8x + y = 9
y = [? ]x +[?]

Answer:

Option D

Step-by-step explanation:

The volume is the product of three dimensions of the prism:

So the option D is correct

Answer:

Both are correct

Step-by-step explanation:

since there are 6 students playing volleyball, and 9 are playing basketball. the ratio of students playing basketball to volleyball is 6:9 and the ratio of students playing volleyball to basketball is 9/6. they didint get the same answer because they have reversed ratios.

hope this helped! :)

The distributive law explains the operations of multiplication and addition, stated symbolically as a(b + c) = ab + ac.

The distributive property describes an operation's capacity to distribute over other mathematical operations contained within brackets.

The distributive property of multiplication over addition or multiplication over subtraction might both be present. The distributive property of multiplication over addition is expressed as

= A × (B + C) = AB + AC.

Let us verify this property with the help of an example. The expression 2(1 + 4) using the distributive law of multiplication over addition.

= 2(1 + 4) = (2 × 1) + (2 × 4)

= 2 + 8 = 10

Your information isn't well written and an overview was given.

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Field extensions and polynomials are used to demonstrate why a regular 9-gon is not constructible using a compass and straight-edge but a regular 20-gon is.

A regular 9-gon is a polygon having nine equal-length sides that are linked to the other eight sides. Because the lengths of the 9-gon's sides are not constructible numbers, it is impossible to build a regular 9-gon with a compass and straight edges because generating a normal 9-gon necessitates the production of a cube root, which necessitates a field extension. A cube root, on the other hand, is not a constructible integer since the accompanying third-degree equation has no constructible solution.

A normal 20-gon, on the other hand, is constructible since it requires just a constructible integer, namely a fifth root. This is due to the fact that building a regular 20-gon necessitates the construction of a fifth root, which may be built via a field extension since the fifth-degree equation associated with it has a constructible solution.

In conclusion, a regular 9-gon cannot be built with a compass and straight-edge, however, a regular 20-gon can.

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Answer:

46.272 or 46 34

125

Explains :

Let see :

Based on the given conditions, formulate: 16×14.46÷5

Calculate the product or quotient:231.36

5

Convert decimal to fraction:23136

100

5

Divide a fraction by multiplying its reciprocal:23136 × 1

100 5

Write as a single fraction:23136

100×5

Cross out the common factor:5784

25×5

Calculate the product or quotient:5784

5784 125

get the result: 46.272 or 46 34

125

Answer: 46.272 or 46 34

125

Answer: 4/5

Step-by-step explanation:

Answer:

8 i used a triangular calucator

Step-by-step explanation:

The standard deviation of the costs is 37 Dhs

The given mean is 173 and 3% of costs exceed 243. We have to calculate the standard deviation of the cost. Therefore, let's first start by calculating the z-score as follows;z-score formula = `(x - μ) / σ`z-score = `243 - 173 / σ`z-score = `70 / σ`We need to find the standard deviation of the costs. Since the z-score formula includes standard deviation, we can first calculate the z-score and then use it to calculate the standard deviation.Using the z-table, we can find the z-score for 3% = -1.88-1.88 = (243 - 173) / σσ = (243 - 173) / -1.88σ = -70 / -1.88σ = 37.23≈ 37The standard deviation of the costs is 37 Dhs. Hence, the correct option is as follows.Option D is the correct option.

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The  store is offering the best unit rate is  Grocery Store A.

The store with the lower unit rate offers the best rate. The unit rate is the total cost divided by the pound of bananas sold.

unit rate = cost / pounds

Unit rate of Grocery Store A: $0.75 / 12 = $0.0625

Unit rate of Grocery Store B: $3.75 / 5 = $0.75

Comparing the unit rates of both stores, Grocery Store A offers a lower unit rate.

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Answer:

54.87

Step-by-step explanation:

a) If cos(A) = 1/2 with A in QIV, then sin(A/2) = √(3/8) or approximately 0.612. We can use the half-angle identity for sine, which states that sin(A/2) = ±√[(1-cos(A))/2].

Since A is in QIV, we know that cosine is positive, so we can use the positive form of the identity. Substituting cos(A) = 1/2, we get sin(A/2) = √[(1-(1/2))/2] = √(1/4) = √(3/8).

b) If sin(A) = 3/5 with A in QII, then sec(A/2) = -√(2/3) or approximately -0.816. We can use the half-angle identity for secant, which states that sec(A/2) = ±√[(1+cos(A))/2]. Since A is in QII, we know that cosine is negative, so we can use the negative form of the identity. Substituting sin(A) = 3/5, we need to find the cosine of A. Using the Pythagorean identity, cos(A) = -4/5. Substituting these values into the identity, we get sec(A/2) = -√[(1-(4/5))/2] = -√(2/3).

c) If sin(A) = -4/3 with A in QIII, then cos(A/2) = -√(5/6) or approximately -0.913. We can use the half-angle identity for cosine, which states that cos(A/2) = ±√[(1+cos(A))/2]. Since A is in QIII, we know that cosine is negative, so we can use the negative form of the identity. Substituting sin(A) = -4/3, we need to find the cosine of A. Using the Pythagorean identity, cos(A) = -5/3. Substituting these values into the identity, we get cos(A/2) = -√[(1-(5/3))/2] = -√(5/6).

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The formula we need to use is given above. In this formula, we will substitute the desired values. Let's start.

A) First, we can start by analyzing the first premise. The team has \(8\) wins and \(5\) losses. It earned \(8 \times 3 = 24\) points in total from the matches it won and \(1\times5=5\) points in total from the matches it drew. Therefore, it earned \(24+5=29\) points.

B) After \(39\) matches, the team managed to earn \(54\) points in total. \(12\) of these matches have ended in draws. Therefore, this team has won and lost a total of \(39-12=27\) matches. This number includes all matches won and lost. In total, the team earned \(12\times1=12\) points from the \(12\) matches that ended in a draw.

\(54-12=42\) points is the points earned after \(27\) matches. By dividing \(42\) by \(3\) ( because \(3\) points is the score obtained as a result of the matches won), we find how many matches team won. \(42\div3=14\) matches won.

That leaves \(27-14=13\) matches. These represent the matches team lost.

Finally, the answers are below.

\(A)29\)
\(B)13\)

Answer:

  a) 29 points

  b) 13 losses

Step-by-step explanation:

You want to know points and losses for different teams using the formula P = 3W +D, where W is wins and D is draws.

The number of points the team has is ...

  P = 3W +D

  P = 3(8) +(5) = 29

The team has 29 points.

You want the number of losses the team has if it has 54 points and 12 draws after 39 games.

The number of wins is given by ...

  P = 3W +D

  54 = 3W +12

  42 = 3W

  14 = W

Then the number of losses is ...

  W +D +L = 39

  14 +12 +L = 39 . . . substitute the known values

  L = 13 . . . . . . . . . . subtract 26 from both sides

The team lost 13 games.

__

Additional comment

In part B, we can solve for the number of losses directly, using 39-12-x as the number of wins when there are x losses. Simplifying 3W +D -P = 0 can make it easy to solve for x. (In the attached, we let the calculator do the simplification.)

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Answer:

Step-by-step explanation:

It is because of

Triangle Inequality Property rule:

Measurement of any two sides of the triangle is always greater than the third side.

So,

As per the rule the sum of other two shorter sides of the triangle should be greater than 10.

The two shorter sides must have a sum that is greater than 10.

A triangle is a polygon with three sides and three angles.

Analysis:

For a triangle, the sum of the two shorter sides is usually greater than the longest side.

In conclusion, the sum of the two shorter sides must have a sum greater than 10.

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The temperature that increased in the day is 39 degrees

The methods or operations that emphasize particular actions, like adding, dividing, and adding multiple times are known as Mathematical Operations.

There are four basic Operations in Mathematics, they are Addition (+), Subtraction (-), Multiplication (×), and Division (÷).

Given that

The temperature in the morning is - 12 degrees and

It rose to a high of 27 degrees for the day  

Here in this problem, we will use Subtraction to solve the problem

The temperature that increased for the day

= Final temperature - Initial temperature

= 27 degrees - (-12 degrees )

= 27 degrees + 12 degrees

= 39 degrees

Therefore,

The temperature that increased in the day is 39 degrees.

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Answer: x = 10

Step-by-step explanation:

The sum of all interior angles in a polygon add up to 360°

Meaning to find X we grab those numbers/variables and make them equal to 360°. This will give us an equation.

106 + 94 + 135 + x + ( x + 5 ) = 360

335 + x + x + 5 = 360

340 + 2x = 360

subtract 340 from both sides

2x = 20

Divide by 2

x = 10

Now solve the angle equations to find their angle.

( 10 + 5 ) = 15

x = 10

Now to check if it's right add them together

106 + 94 + 15 + 10 + 135 = 360 ( ITS CORRECT )

Using the together rate, it is found that the value that must be discarded is given by x = -9.

It is the sum of each separate rate.

In this problem, the rates are given as follows:

Hence:

\(\frac{1}{x} + \frac{1}{x + 18} = \frac{1}{40}\)

\(\frac{x + 18 + x}{x(x + 18)} = \frac{1}{40}\)

\(x^2 + 18x = 80x + 720\)

\(x^2 - 72x - 720 = 0\)

Then, we have a quadratic function, with coefficients a = 1, b = -72, c = -720, so:

\(\Delta = (-72)^2 - 4(1)(-720) = 8064\)

\(x_1 = \frac{72 + \sqrt{8064}}{2} = 80.9\)

\(x_2 = \frac{72 - \sqrt{8064}}{2} = -9\)

They cannot have a negative rate, hence the value that must be discarded is given by x = -9.

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Answer:

X = -10

Step-by-step explanation:

PLATO

Given

A) The angles A and B are supplementary.

If,

B) The figure,

To find

A) The value of x.

B) The value of x.

Explanation:

A) It is given that,

Angle A and angle B are supplementary.

Then,

Hence, the error is in the statement,

Since the angles are supplementary, when added together they equal 90.

As, the correct answer is when added together they equal 180.

That implies,

Hence, the value of x is 18 degrees.

B) It is given that,

From, the figure the given angles are interior angles.

Also, the interior angles on the same side of the transversal is supplementary.

Which means when you add them they equal 180.

Hence, the error is in the statement,

Since the angles are adjacent, they are complementary angles.

Which means when you add them they equal 180.

As, the angles are interior angles on the same side of the transversal.

Also,

Hence, the value of x is 116 degrees.

In the Clausius-Clapeyron equation, the variables related to the measured values that would typically be graphed on the x and y axes depend on the specific application.

Generally, the natural logarithm of the vapor pressure (ln P) is plotted on the y-axis, while the reciprocal of the absolute temperature (1/T) is plotted on the x-axis. The slope (m) and y-intercept (b) of the resulting linear graph have specific interpretations in the context of the equation.

The Clausius-Clapeyron equation relates the vapor pressure of a substance to its temperature. It is expressed as ln(P) = -ΔHvap/R * (1/T) + C, where P is the vapor pressure, ΔHvap is the enthalpy of vaporization, R is the gas constant, T is the temperature, and C is a constant. When graphing this equation, we often plot ln(P) on the y-axis and 1/T on the x-axis.

The graph obtained from plotting these variables follows a linear relationship. The slope of the resulting line, denoted as m, is equal to -ΔHvap/R. This slope provides valuable information about the enthalpy of vaporization, which is a measure of the energy required to convert a substance from its liquid phase to its gas phase. The y-intercept, denoted as b, represents the constant C in the equation, which accounts for any initial conditions or deviations from the ideal gas behavior.

By plotting ln(P) against 1/T, we can determine the slope and y-intercept of the linear graph. These parameters have specific physical interpretations and can provide insights into the thermodynamic properties of the substance under investigation. Analyzing the slope and y-intercept values can help in quantifying the enthalpy of vaporization and understanding the behavior of the substance as its temperature changes.

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The critical numbers of g(θ) on the interval 0 ≤ θ < 2π are:  θ = π/3, 2π/3, 4π/3, 5π/3, 7π/3, 8π/3, 10π/3, and 11π/3.

To find the critical numbers of g(θ) = 4θ - tan(θ) on the interval 0 ≤ θ < 2π, we need to find the values of θ where the derivative of g(θ) is equal to 0 or undefined.

First, we find the derivative of g(θ) using the chain rule and quotient rule:

g'(θ) = 4 - sec²(θ)

To find where g'(θ) is equal to 0, we set the derivative equal to 0 and solve for θ:

4 - sec²(θ) = 0

sec²(θ) = 4

Taking the square root of both sides, we get:

sec(θ) = ±2

Since sec(θ) = 1/cos(θ), we can rewrite this as:

cos(θ) = ±1/2

We know that on the interval 0 ≤ θ < 2π, the cosine function is positive in the first and fourth quadrants and negative in the second and third quadrants.

Therefore, we need to find the values of θ in the first and fourth quadrants where cos(θ) = 1/2, and the values of θ in the second and third quadrants where cos(θ) = -1/2.

For cos(θ) = 1/2, we have:

θ = π/3 or 5π/3 in the first quadrant
θ = 7π/3 or 11π/3 in the fourth quadrant

For cos(θ) = -1/2, we have:

θ = 2π/3 or 4π/3 in the second quadrant
θ = 8π/3 or 10π/3 in the third quadrant

Therefore, the critical numbers of g(θ) on the interval 0 ≤ θ < 2π are:

θ = π/3, 2π/3, 4π/3, 5π/3, 7π/3, 8π/3, 10π/3, and 11π/3.

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Answer:

We can form an isosceles triangle by using the given measures.

Step-by-step explanation:

Hope this helps!! :)

G - v has k connected components.

Given that G is a connected graph and every vertex has even degree, gr(v) = 2k and v is the only cut-vertex of G, then we need to show that G - v has k connected components.

In order to show that G - v has k connected components, we will make use of the following theorem.

Theorem: Let G be a graph. Then G has a cut-vertex if and only if there exists u ∈ V(G) such that at least two components of G - u are not connected by a path containing u.Proof: If G has a cut-vertex v, then v divides G into two components G1 and G2.

Let u be any vertex in G1. Then G - u is disconnected, since there is no path connecting G1 and G2 which does not pass through v.On the other hand, if there exists u ∈ V(G) such that at least two components of G - u are not connected by a path containing u, then G has a cut-vertex.

To see this, let G1 and G2 be two components of G - u that are not connected by a path containing u.

Then v = u is a cut-vertex of G, since v separates G into G1 and G2, and every path between G1 and G2 must contain v.Now, let us apply this theorem to the given graph G.

Since v is the only cut vertex of G, every vertex in G - v must belong to the same component of G - v.

If there were more than one component of G - v, then v would not be the only cut-vertex of G.

Therefore, G - v has only one component.

Since every vertex in G has even degree, we can apply the handshaking lemma to conclude that the number of vertices in G is even.

Therefore, the number of vertices in G - v is odd. Let k be the number of vertices in G - v.

Then k is odd and every vertex in G - v has even degree.

Therefore, G - v is a connected graph with k vertices, and every vertex has an even degree. By the same argument, every connected graph with k vertices and every vertex having an even degree is isomorphic to G - v.

Therefore, G - v has k connected components.

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Answer:

55

Step-by-step explanation:

For PQ and RS to be parallel, the two degrees must be equal.

3x - 65 = 2x - 10

(3x - 65) + 65 = (2x - 10) + 65

3x = 2x + 55

(3x) - 2x = (2x + 55) - 2x

x = 55

As angle OAB =40-degree, angle AOB is 100 degrees according to the properties of circle and triangle.

Some Properties of circle are distance from center of the circle to each point on the circumstances are equal. hence, OA=OB

Diameter is twice of radius.

The triangle having two equal side length is called isosceles triangle. In the figure, triangle OAB is an isosceles as OA=OB=radius

According to the criteria of isosceles triangle angle OAB =OBA =40°

hence, angle AOB= 180 degrees - (40°+40°) [angle sum of triangle =180°]

                  angle AOB= 100 degrees.

We get, AOB = 100 degrees

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This is the required final answer  Emily spends $300y/x  and Andy spends $432y/x for wire.

The answer provided below has been developed in a clear step-by-step manner.

1 foot =12 inches

1 yard=36 inches

Emily needs (25×12)=300 inches wire

and Andy needs (12×36)=432inches wire

As the cost for x inches wire is $y

cost for a 1-inch wire is $x/y

So, the cost for 300 inches of wire is $300y/x

cost for 432 inches of wire is $432y/x

so, Emily spends $300y/x

and Andy spends $432y/x for wire.

More than 20 different currencies go by the name dollar. The Australian dollar, Brunei dollar, Canadian dollar, Hong Kong dollar, Hogan dollar, Jamaican dollar, Liberian dollar, Namibian dollar, New Taiwan dollar, New Zealand dollar, Singapore dollar, United States dollar, Trinidad and Tobago dollar, and a number of others are among them. Like many nations that use the peso as their currency, the majority of those currencies are denoted by the dollar sign $.

The word "dollar" is a translation of the German word "thaler," which means "person or thing from the valley" in English. America's monetary unit is called after the "thaler," the name given to the first silver mine-produced coins, which were initially coined in Joachimsthal, Bohemia, in 1519.

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the vertical asymptοtes οf the functiοn are given by: x = 3 and x = -3.

Asymptοtes are lines that a curve apprοaches but dοes nοt intersect as it extends infinitely in οne οr mοre directiοns. They can be vertical, hοrizοntal, οr οblique.

Vertical asymptοtes οccur when the denοminatοr οf a ratiοnal functiοn is equal tο zerο and the numeratοr is nοt equal tο zerο. This creates a pοint οf discοntinuity in the functiοn, where the functiοn apprοaches infinity οr negative infinity as it apprοaches the vertical line.

The functiοn y = 5tan(0.1x) has vertical asymptοtes whenever the tangent functiοn is undefined, which οccurs at οdd multiples οf π/2.

the vertical asymptοtes οf y = 5tan(0.1x) are given by:

x = (2n+1)π/2*10, where n is an integer.

Fοr Explοratiοn 4.3.3, Questiοn 2, the given functiοn is:

\(y = (x^2 - 5x + 6)/(x^2 - 9)\)

Tο find the vertical asymptοtes οf this functiοn, we need tο determine where the denοminatοr becοmes zerο. This οccurs at x = 3 and x = -3.

Therefοre, the vertical asymptοtes οf the functiοn are given by: x = 3 and x = -3.

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Answer:

5

Step-by-step explanation:

You first start by finding the acceleration of the problem.

a=f/m

Which this case is 45.

The question is asking " How many times greater must it be than A?"

You then divide

45/9

Your final answer is 5.

The acceleration of Object B should be 5 times the acceleration of Object A in order to make the table true.

We have a table that gives the values of mass, acceleration and force of object A and object B.

We have to find by how many times greater must the acceleration of Object B be than the acceleration of Object A to make the table true.

The formula to calculate the force is -

F = m x a

In the table, for Object B -

Mass = 40 Kg

Force = 1800 N

Substituting the values -

a = \(\frac{F}{m}\) = \(\frac{1800}{40}\) = 45 \(m/s^{2}\)

The acceleration of Object A is 9 \(m/s^{2}\).  On comparing the acceleration of both the objects, we can see that the acceleration of Object B is 5 times the acceleration of Object A.

Hence, the acceleration of Object B should be 5 times the acceleration of Object A in order to make the table true.

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Answer:

1=part

2=whole

3=variable

Step-by-step explanation:

here u go