In the figure BD||EG and the measure of angleACB=35 degree. What is the measure of angle GFH
A 35. B 55. C 135. D 145

Answer:

Gold, Orange, White, Blue

Step-by-step explanation:

Orange: 11.875%

Blue: 62.5%

White: 15.625%

Gold: 10%

Answer:

true

Step-by-step explanation:

Given that John climbs a height of \($(x + 5)$\) miles in \($(x - 1)$\) hours and Jane climbs a height of \($(x + 11)$\) miles in \($(x + 1)$\) hours. We know that the distance covered by both John and Jane are equal.

Distance covered by John = Distance covered by Jane

Therefore, \($(x + 5) = (x + 11)$\)

Thus, x = 6

Now, we need to find the speed of both, which is given by the formulae:

Speed = Distance / Time

So, speed of John = \($(x + 5) / (x - 1)$\) Speed of John =\($11 / 5$\) mph

Similarly, speed of Jane = \($(x + 11) / (x + 1)$\)

Speed of Jane = \($17 / 7$\) mph

Since both have to be equal, Speed of John = Speed of Jane Therefore,

\($(x + 5) / (x - 1) = (x + 11) / (x + 1)$\)

Solving this equation we get ,x = 2Speed of John = \($7 / 3$\) mph

Speed of Jane = \($7 / 3$\) mph

Thus, their speed was \($7 / 3$\) mph.

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Answer: “The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality. The boundary line is dashed for > and < and solid for ≤ and ≥.”

      - https://www.mathplanet.com

Step-by-step explanation:

The given logarithmic expression 2log 2+ 3log x - 1/2 [log(x+3)+log(x+2)] can be written as single logarithm as log [(2^2)(x^3)/(x+3)^1/2 (x+2)^1/2] .

A single logarithm by virtue of the laws of logarithms as follows;

= 2log 2+ 3log x - 1/2 [log(x+3)+log(x+2)]

= log(2)^2 + log x^3 - log(x+3)^1/2 + log(x+2)^1/2

= log [(2^2)(x^3)/(x+3)^1/2 (x+2)^1/2]

Therefore, the single logarithm is log [(2^2)(x^3)/(x+3)^1/2 (x+2)^1/2].

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The complete question is

'Rewrite the following expression as a single logarithm: 2log 2+ 3log x - 1/2 [log(x+3)+log(x+2)].'

Answer:

Explanation:

Given the system of inequalities:

The

Answer:

v = k\(\sqrt{E}\)

Step-by-step explanation:

Given v is proportional to \(\sqrt{E}\) then the equation relating them is

v = k\(\sqrt{E}\) ← k is the constant of proportion

Answer:

v = k√E

Step-by-step explanation:

v is proportional to square root of E means:

v ϱ √E

the general formula for variation is y=kx

as y is proportional to x

Answer:

it is 3,3 or X<3 you can use either one

D is the answer

Step-by-step explanation:

Answer:

13. True, False, True

14. False, True, True

15. All true

A plane is an object goes infinitely in every direction, but it has no thickness whatsoever.

The four primary categories of market segmentation are thought to be geographic, psychographic, behavioral, and demographic; however, there are many other tactics you can employ, as well as countless variants on the four primary types.

A circular segment is a section of a circle that has been split off from the remainder of the circle by a chord or secant. Segments are also the components that the arc of the circle divides into and connects to its endpoints through a chord.

A plane is an object goes infinitely in every direction, but it has no thickness whatsoever.

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A plane is an object goes infinitely in every direction, but it has no thickness whatsoever.

What are four type of segments?

The four primary categories of market segmentation are thought to be geographic, psychographic, behavioral, and demographic; however, there are many other tactics you can employ, as well as countless variants on the four primary types.

How segment is formed?

A circular segment is a section of a circle that has been split off from the remainder of the circle by a chord or secant. Segments are also the components that the arc of the circle divides into and connects to its endpoints through a chord.

A plane is an object goes infinitely in every direction, but it has no thickness whatsoever.

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The range of each of the functions are matched as:

1) t(x) = -√x | y ≤ 0

2) p(x) = ∛(2 - x) | All real numbers

3) w(x) = 2 + √x | y ≥ 2

4) r(x) = -2 + √(2 - x) | y ≥ -2

5) k(x) = 2 - √x | y ≤ 2

6) v(x) = √-x | y ≥ 0

The range of a function is defined as the set of all possible output values for every possible input value.

1) t(x) = -√x

The range here which is the possible output values will be:

y ≤ 0

2) p(x) = ∛(2 - x)

The range here which is the possible output values will be:

The set of all real numbers

3) w(x) = 2 + √x

The range here which is the possible output values will be:

y ≥ 2

4) r(x) = -2 + √(2 - x)

The range here which is the possible output values will be:

y ≥ -2

5) k(x) = 2 - √x

The range here which is the possible output values will be:

y ≤ 2

6) v(x) = √-x

The range here which is the possible output values will be:

y ≥ 0

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Represents the vector f + g.  C.

The sum of two vectors, we simply add their corresponding components.

In this case,
f + g = (4 - 1, 3 + 0, 7 + 2) = (3, 3, 9)
So the resulting vector has components (3, 3, 9).
Now we need to find the graph that represents this vector.

Graphing a vector in three dimensions can be challenging, but we can use the following method:
Start at the origin (0, 0, 0) of the 3D coordinate system.
Move 3 units in the x-direction, 3 units in the y-direction, and 9 units in the z-direction.
Mark the endpoint of this displacement as the tip of the vector.

Option A has a similar direction, but it is longer than f + g.

Option B has the correct length, but it is pointing in the wrong direction.

Option D is pointing in the correct direction, but it is too short.

We only add the respective components of the two vectors to get their sum.

Thus, f + g = (4 - 1, 3 + 0, 7 + 2) = (3, 3, 9) in this situation.

The resultant vector has three (3), three (3), and nine (9).

We now need to identify the graph that this vector is represented by.

It might be difficult to graph a vector in three dimensions, however we can try the following approach:

Start at the 3D coordinate system's origin (0, 0, 0).

Move three units in the x, three units in the y, and nine units in the z directions.

Make a note of the vector's tip being the terminus of this displacement.

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The area of the floor is 128 m² with a length of 16 m and a width of 8 m.

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.

Let x represent the width. The rectangle room is twice as long as it is broad, hence:

length = 2x, height (h) = 4.5 m

Area of the 4 walls = 2(length * height) + 2(width * height)

216 = 2(4.5 * 2x) + 2(x * 4.5)

27x = 216

x = 8 m

Length = 2x = 2(8) = 16 m

Area of floor = 8 * 16 = 128 m²

The area of the floor is 128 m² with a length of 16 m and a width of 8 m.

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he required solution is \(y=c_1e^{2x}+c_2e^{-2x}+c_3\sqrt2\cos(\sqrt2x)+c_4\sqrt2\sin(\sqrt2x)\)

where \(c_1,c_2,c_3\) and \(c_4\) are constants.

Let’s assume the general solution of the given differential equation is,

y=e^{mx}

By taking the derivative of this equation, we get

\(\frac{dy}{dx} = me^{mx}\\\frac{d^2y}{dx^2} = m^2e^{mx}\\\frac{d^3y}{dx^3} = m^3e^{mx}\\\frac{d^4y}{dx^4} = m^4e^{mx}\\\)

Now substitute these values in the given differential equation.

\(\frac{d^4y}{dx^4}-2\frac{d^2y}{dx^2}-8y\\=0m^4e^{mx}-2m^2e^{mx}-8e^{mx}\\=0e^{mx}(m^4-2m^2-8)=0\)

Therefore, \(m^4-2m^2-8=0\)

\((m^2-4)(m^2+2)=0\)

Therefore, the roots are, \(m = ±\sqrt{2} and m=±2\)

By applying the formula for the general solution of a differential equation, we get

General solution is, \(y=c_1e^{2x}+c_2e^{-2x}+c_3\sqrt2\cos(\sqrt2x)+c_4\sqrt2\sin(\sqrt2x)\)

Hence, the required solution is \(y=c_1e^{2x}+c_2e^{-2x}+c_3\sqrt2\cos(\sqrt2x)+c_4\sqrt2\sin(\sqrt2x)\)

where \(c_1,c_2,c_3\) and \(c_4\) are constants.

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Answer:

The slope of the line is 4/3

Step-by-step explanation:

slope = rise/run = y2-y1/x2-x1

1-(-3)/8-5 = 4/3

The slope of the line is 4/3

The simplest way to perform a division is long division and synthetic division.

What is division?

Division in mathematics is the process of dividing an amount into equal parts. For instance, we may split a group of 20 people into four groups of 5, five groups of 4, and so on.

There are two methods to perform division:

Long division: The mathematical procedure for splitting big numbers into more manageable groups or sections is known as long division. A difficulty can be solved by breaking it down into manageable parts. Dividends, divisors, quotients, and remainders all exist in long divisions.

Synthetic division: In algebra, synthetic division is a technique for manually dividing polynomials according to Euclid, requiring less writing and calculation than long division. Although the approach can be applied to division by any polynomial, it is often taught for division by linear monic polynomials.

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Answer:

Step-by-step explanation:

here's a link Hope it helps https://www.emathhelp.net/calculators/calculus-3/critical-points-extrema-saddle-points-calculator/

its not a scam

410.3005

thats the answer but i need to add more characters ignore this

Recall that to determine if a table represents a probability distribution, the sum of the probabilities must add up to 1, and all the probabilities have to be positive numbers less or equal to 1.

Now, notice that:

From the table, we notice that all the given probabilities are positive numbers between 0 and 1. Therefore, we can conclude that the given table represents a probability distribution.

Yes, it is a probability distribution.

Answer:

Step-by-step explanation:

(2 + 3) + 4 = 2 + (3 + 4)This expression can be simplified using the associative property of addition, which states that the grouping of the terms in a sum can be changed without changing its value. By rearranging the terms within the parentheses, we can simplify the expression as follows:2 + (3 + 4) = 2 + 7 = 9

Answer:

Step-by-step explanation: (a+b) +c =a +(b+c)

Answer:

yes.

traingle ABC is a right angled triangle because angle BÁC is a right angle.

The parent factors are the colours white or gray

Below is an image to represent the Tree diagram

It shows that for a white shirt Marcus can buy either a white medium and white large sizes

It also shows that for a gray shirt Marcus can also buy a gray medium and a gray large shirt

With this information, we can conclude that the possible answer to the question is the last OPTION D

Answer:

remember it starts with 3.14 r3 d 3.14 = 9.14 hope this helps but always start with 3.14 then multiply with the circumfederance and diameter

Step-by-step explanation:

1.

radius = 3 m

diameter = 3 × 2 = 6 m

formula = π × d

circumference = π × 6 = 18.85 m

2.

radius = 18 ÷ 2 = 9 cm

diameter = 18 cm

formula = π × d

circumference = π × 18 = 56.55 cm

The area of ​​the rectangle will grow at a rate of 100 square inches per second if the width of the rectangle is 10 inches.

let the width w  of the rectangle is 1 inch and the length of the rectangle is "2w" inches.

The area of ​​the rectangle is given by

A = length x width = (2w)(w) =\(2w^2\) square inches if the width of the rectangle is 10 inches

To find out how fast the area of ​​a rectangle is changing, we need to differentiate the area over time.

dA/dt =\(d/dt (2w^2)\) = 4w(dw/dt)

where dw/dt is the rate of change in width.

as the length of the rectangle is increasing at a rate of 5 inches/second.

d(2w)/dt = 5 inches/second

Simplifying the above formula to:

2(dw/dt) = 5 inches/second

dw/dt = 5/2 inch/second

If the rectangle is 10 inches wide, then:

w = 10 inches

dw/dt = 5/2 inch/second

Substitute these values ​​into the formula for dA/dt.

dA/dt = 4w(dw/dt) = 4(10)(5/2) = 100 square inches per second

therefore, if the width of the rectangle is 10 inches, the area of ​​the rectangle will grow at a rate of 100 square inches per second. 

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The price vectors a. p₁ = 3 and p₂ = 2, Mary will consume only good 1.

Here we have the Utility function as

U(x₁ , x₂) = 3x₁ + x₂

From the given utility function we can clearly see that these goods are substitutes for each other

Now,

δU/δx₁ = 3

δU/δx₂ = 1

Hence we get the Marginal Rate of Substitution or MRS

\(=- \frac{\delta U/ \delta x_1 }{\delta U/ \delta x_2}\)

= -3

The MRS signifies that for every additional unit of 1, Mary is willing to give up 3 units of good 2

|MRS| = 3

For Mary to only consume good 1, |MRS| > p₁/p₂

Hence here we get the p/p ratio for the 4 price vectors to be

a. 3/2 = 1.5

b. 10/3 = 3.33

c. 4

d. 15.4 = 3.75

Hence we can clearly say that for the price vectors p₁ = 3 and p₂ = 2, Mary will consume only good 1.

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Answer: The walrus ate 48 quarts of ice cream

Step-by-step explanation: To convert 12 gallons into quarts, we need to start with a conversion factor for gallons and quarts.

Conversion factor ⇒ 1 gallon = 4 quarts

If we want find out how many quarts of ice cream the walrus ate, we can simply multiply the number of quarts in a gallon which is 4 by the number of gallons we have which is 12.

12 × 4 = 48

Therefore, 12 gallons of ice cream is equivalent to 48 quarts of ice cream.

The inequality is always true -6(2 x-10)+12 x ≠ 180

To determine whether the inequality -6(2x - 10) + 12x ≠ 180 is always, sometimes, or never true, we need to simplify the expression and analyze its properties.

Let's simplify the expression:

= -6(2x - 10) + 12x

= -12x + 60 + 12x

= 60

The simplified expression is 60. Therefore, the inequality -6(2x - 10) + 12x ≠ 180 is always true because the left side simplifies to a constant value of 60, which is not equal to 180.

In other words, regardless of the value of x, the expression will always evaluate to 60, and it will never be equal to 180. Hence, the inequality is always true.

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Answer:

Average speed during the trip = 24 km/h

Step-by-step explanation:

Given:

Speed of cyclist uphill, \(v_1\) = 20 km/hr

Speed of cyclist on flat ground = 24 km/h

Speed of cyclist downhill, \(v_2\) = 30 km/h

Cyclist has traveled on the hilly road to Beast Island from Aopslandia and then back to Aopslandia.

That means, one side the cyclist went uphill will the speed of 20 km/h and then came downhill with the speed of 30 km/h

To find:

Average speed during the entire trip = ?

Solution:

Let the distance between Beast Island and Aopslandia = D km

Let the time taken to reach Beast Island from Aopslandia = \(T_1\ hours\)

Formula for speed is given as:

\(Speed = \dfrac{Distance}{Time}\)

\(v_1 = 20 = \dfrac{D}{T_1}\)

\(\Rightarrow T_1 = \dfrac{D}{20} ..... (1)\)

Let the time taken to reach Aopslandia back from Beast Island = \(T_2\ hours\)

Formula for speed is given as:

\(Speed = \dfrac{Distance}{Time}\)

\(v_2 = 30 = \dfrac{D}{T_2}\)

\(\Rightarrow T_2 = \dfrac{D}{30} ..... (2)\)

Formula for average speed is given as:

\(\text{Average Speed} = \dfrac{\text{Total Distance}}{\text{Total Time Taken}}\)

Here total distance = D + D = 2D km

Total Time is \(T_1+T_2\) hours.

Putting the values in the formula and using equations (1) and (2):

\(\text{Average Speed} = \dfrac{2D}{T_1+T_2}}\\\Rightarrow \text{Average Speed} = \dfrac{2D}{\dfrac{D}{20}+\dfrac{D}{30}}}\\\Rightarrow \text{Average Speed} = \dfrac{2D}{\dfrac{30D+20D}{20\times 30}}\\\Rightarrow \text{Average Speed} = \dfrac{2D\times 20 \times 30}{{30D+20D}}\\\Rightarrow \text{Average Speed} = \dfrac{1200}{{50}}\\\Rightarrow \bold{\text{Average Speed} = 24\ km/hr}\)

So, Average speed during the trip = 24 km/h

The measures in the circle given in the image above are calculated as:

1. m<PSQ = 130°;   2. m<AQS = 30°; 3. m(QR) = 100°; 4. m(PS) = 110°; 5. (RS) = 70°.

In order to find the measures in the circle shown, recall that according to the inscribed angle theorem, the measure of intercepted arc is equal to the central angle, but is twice the measure of the inscribed angle.

1. m<PSQ = m<PAQ

Substitute:

m<PSQ = 130°

2. Find m<PBQ:

m<PBQ = 1/2(m(PQ) + m(RS)) [based on the angles of intersecting chords theorem]

Substitute:

m<PBQ = 1/2(130 + 2(35))

m<PBQ = 100°

m<AQS = 180 - [m<BAQ + m<PBQ]

Substitute:

m<AQS = 180 - [(180 - 130) + 100]

m<AQS = 30°

3. m(QR) = m<QAR

Substitute:

m(QR) = 100°

4. m(PS) = 180 - m(RS)

Substitute:

m(PS) = 180 - 2(35)

m(PS) = 110°

5. m(RS) = 2(35)

m(RS) = 70°

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Answer:

2000 BCE

Step-by-step explanation:

The larger the BCE year, the older, so in this case, your answer is 2000 BCE.

Answer:

Step-by-step explanation:

Hi! We are currently in CE.  CE is after BCE.  The further left you go on the timeline means the earliest date.  If it starts first, then it is the oldest.  Hope this helps!