Approximately what portion of the circle is shaded blue?

Answer:

estimate, 3000. exact answer 3256

Step-by-step explanation:

hope this helps

Answer:

\( \sf{continuous \: function}\)

The graph doesn't breaks at any point hence it's continuous.

Answer:

\(it \: is \: continous \: function.\)

Answer:

Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values.

Step-by-step explanation:

Answer:

I think it's 1.67 miles

Step-by-step explanation:

24:40    

1 /24 = x/40

24x/24 = 40/24

1 = 1.67 miles

I hope this helps?

For every 1 mile Annabelle drove, Daniel drove 1.67 miles.

I may be wrong.

Probably am...

Answer:

the graph of y=f(x)will shift up 9 units

Answer: -4 5/12

Step-by-step explanation: because -7 2/3+(-5 1/2)= -13 1/6

finally take -13 1/6 + 8 3/4= -4 5/12

Answer: 1

Step-by-step explanation:

The best estimate for the number of grains of sugar in a 5-pound bag is: B. 3.6 × 10⁶ grains.

A proportion can be defined as an equation which is typically used to represent (indicate) the equality of two (2) ratios. This ultimately implies that, proportions can be used to establish that two (2) ratios are equivalent and solve for all unknown quantities.

Next, we would determine the total number of grains of sugar in a 5-pound bag as follows:

Total number of grains of sugar = 4.5 × 10² × 5

Total number of grains of sugar = 2,250 grams.

Now, we would divide the total number of grains of sugar in a 5-pound bag by the weight of each grain of sugar as follows:

Number of grains of sugar = 2,250/ 6.25 × 10⁻⁴

Number of grains of sugar = 3.6 × 10⁶ grains.

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Answer:

Step-by-step explanation:

\(f(x) = 5x^2 + 3x - 8\\x =3\\\\= 5(3)^2+3(3)-8\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:exponents}\:\left(3\right)^2\::\quad 9\\=5\cdot \:9+3\left(3\right)-8\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:5\cdot \:9\::\quad 45\\=45+3\left(3\right)-8\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:3\left(3\right)\::\quad 9\\=45+9-8\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:45+9-8\:\\:\quad 46\)

Answer:

Step-by-step explanation:

There are total cadies in the bag:

Probability of pulling a coffee candy is:

So each 5th candy should be coffee candy

Then you need to pull at least:

Note:

To ensure 3 coffee candies you would need to pull 25 - 2 = 23 candies

The equation of the hyperbola on the graph is (y - k)²/a² - (x - h)²/b² = 1

The graph represents the given parameter

On the graph, we can see that the the coordinates are not labelled

This means that the equation that can be derived from the graph is the general form of the hyperbola which is represented as

(y - k)²/a² - (x - h)²/b² = 1

The above equation is true because the graph of the hyperbola has a vertical transversal

Next, the label of the variables are

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To be able to solve clearly this problem, the best thing to do is to plot the graph (see attached pic). From the graph we can see that the points form a trapezoid.

The base is formed by the segment connecting point A and point B.

While the two heights: shorter one by the segment connecting points A and D, and the longer one by the segment connecting points B and C.

The formula for area of trapezoid is given as:

A = b (h1 + h2) / 2

Where,

b = base of the trapezoid  = 3 – (-4) = 7

h1 = shorter height = 2 – (-2) = 4

h2 = longer height = 2 – (-5) = 7

Therefore the area is:

A = 7 (4 + 7) / 2

A = 77 / 2

A = 38.5

Answer:

1,2,3,4,6,8,9,12,18,24,36 and72

Answer: \((f \cdot g)(x) = x^4-11x^2+30.\)

Step-by-step explanation:

We want to find the value of \(f(g(x)).\) To do this, we plug in \(g(x)\) into the expression for \(f(x).\) This gives us:

\(f(g(x)) = (x^2-9)^2+7(x^2-9)+12 = x^4-18x^2+81+7x^2-63+12 = \boxed{x^4-11x^2+30}.\)

The value of variable θ would be,

⇒  θ = 5π/3 and θ = 4π/3

We have to given that;

Expression is,

⇒ - 10sin θ - 8 = 5√3 - 8

Now, We can simplify as;

⇒ - 10sin θ - 8 = 5√3 - 8

⇒ - 10sin θ = 5√3

⇒ sin θ = - 5√3/10

⇒ sin θ = - √3/2

We know that sinθ = -√3/2 when θ = 4π/3 and θ = 5π/3 (among other angles).

However, since 0 ≤ θ < 2π, only the angles in the second and third quadrants are valid solutions for sinθ = -√3/2.

Therefore, the solutions are θ = 5π/3 and θ = 4π/3, option D is correct.

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Answer:

x = 5q - 15

Step-by-step explanation:

\(\frac{7}{7q+21}=\frac{x}{5q^{2}-45}\\\\\frac{7}{7(q+3)}=\frac{x}{5 (q^{2} -9)}\\\\frac{1}{q+3}=\frac{x}{5*(q^{2}-3^{2})}\\\\\frac{1}{q+3}=\frac{x}{5(q+3)(q-3)}\\\\\frac{1}{q+3}*5*(q+3)(q-3)=x\\\\5(q-3)=x\\\\x= 5q-15\)

Answer:

a

  \(P( 0.172 < X < 0.178 ) = 0.00354\)  

b

  \(P( X >0.025 ) = 0.99379\)

Step-by-step explanation:

From the question we are told that

   The  population proportion is  \(p = 0.10\)

    The sample size is  \(n = 100\)

Generally the standard error is mathematically represented as

       \(SE = \sqrt{\frac{ p (1 - p )}{n} }\)

=>   \(SE = \sqrt{\frac{ 0.10 (1 - 0.10 )}{100} }\)

=>   \(SE =0.03\)

The sample proportion (the proportion living in the dormitories) is between 0.172 and 0.178

   \(P( 0.172 < X < 0.178 ) = P (\frac{ 0.172 - 0.10}{0.03} < \frac{ X - 0.10}{SE} < \frac{ 0.178 - 0.10}{0.03} )\)

  Generally  \(\frac{ X - 0.10}{SE} = Z (The \ standardized \ value \ of X )\)

    \(P( 0.172 < X < 0.178 ) = P (\frac{ 0.172 - 0.10}{0.03} <Z < \frac{ 0.178 - 0.10}{0.03} )\)

    \(P( 0.172 < X < 0.178 ) = P (2.4 <Z < 2.6 )\)

   \(P( 0.172 < X < 0.178 ) = P(Z < 2.6 ) - P (Z < 2.4 )\)

From the z-table  

      \(P(Z < 2.6 ) = 0.99534\)

     \(P(Z < 2.4 ) = 0.9918\)

\(P( 0.172 < X < 0.178 ) =0.99534 - 0.9918\)  

 \(P( 0.172 < X < 0.178 ) = 0.00354\)  

the probability that the sample proportion (the proportion living in the dormitories) is greater than 0.025 is mathematically evaluated as

        \(P( X >0.025 ) = P (\frac{ X - 0.10}{SE} > \frac{ 0.0025- 0.10}{0.03} )\)

        \(P( X >0.025 ) = P (Z > -2.5 )\)

From the z-table  

        \(P (Z > -2.5 ) = 0.99379\)

Thus

      \(P( X >0.025 ) = P (Z > -2.5 ) = 0.99379\)

Answer:

y = -0.1, x = 1.6

Step-by-step explanation:

Substitution is just stating one variable as another.

Lets use the first equation to substitute:

2x - 3 = -2y

2x = -2y - 3

x = -y - 1.5

Now, let's plug this in to the next equation

3x - 12y = -3

We use x as -y - 1.5 instead

3(-y - 1.5) - 12y = -3

-3y - 4.5 - 12y = -3

-15y = 1.5

y = -0.1

If we plug this back into the first equation we get x

2x - 3 = -2(-0.1)

2x - 3 = 0.2

2x = 3.2

x = 1.6

Hope this helped!

Answer:

2/11 you are welcome

Answer:

\(x = \frac{9}{ \sqrt{2} } = \frac{9 \sqrt{2} }{2} \)

Answer:

20

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

Absolute value means the argument inside will be positive

So here we can rewrite |-7| + |-11| as 7 + 11 which gives us 18

Answer:

x = 1.6 or \(\frac{8}{5}\)

Step-by-step explanation:

12x - 11 = 2x + 5

Add 11 to both sides,

12x - 11 + 11 = 2x + 5 + 11

12x = 2x + 16

Subtract 2x from both sides,

12x -2x = 2x - 2x + 16

10x = 16

Divide both sides by the same factor (in this cas the factor is 10),

\(\frac{10x}{10} =\frac{16}{10}\)

\(x=\frac{8}{5}\)

x = 1.6 or \(\frac{8}{5}\)

The measure of angle DEF is 37 degrees.

What is chord in circle

In geometry, a chord is a straight line segment that connects two points on the circumference of a circle. More specifically, a chord of a circle is a line segment whose endpoints lie on the circle.

Every circle has infinitely many chords, but some of the most commonly discussed chords are the diameter (a chord that passes through the center of the circle), and the secant (a chord that intersects the circle at two distinct points).

Chords play an important role in geometry, as they can be used to determine various properties of circles, such as their radius, diameter, and area.

Since G is the center of the circle, the angle DGE is a central angle of the circle.

Therefore, the angle DGE is equal to twice the inscribed angle DEF that subtends the same arc DE.

Let x be the measure of angle DEF. Then, we have:

2x = 74

x = 37

Hence, the measure of angle DEF is 37 degrees.

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Answer:

To break even the local arena must sell approximately 70,589 tickets. They would have a loss of $47625.

Step-by-step explanation:

The cost per night of the Icey blades contract can be expressed as a function of the gate receipts, with the flat cost added by 40% of all the gate receipts sold. This expression is shown below:

\(cost(x) = 60000 +0.4*x\)

Since each ticket costs $1.25, then the revenue of the arena can be shown as:

\(revenue(x) = 1.25*x\)

In order to break even the revenue must be equal to the cost, so:

\(revenue(x) = cost(x)\\1.25*x = 60000 + 0.4*x\\1.25*x - 0.4*x = 60000\\0.85*x = 60000\\x = \frac{60000}{0.85} = 70,588.24\)

To break even the local arena must sell approximately 70,589 tickets.

If the average attendance was 7500 per night, the profit would be:

\(profit = revenue(7500) - cost(7500)\\profit = 1.25*7500 - 60000 + 0.4*7500\\profit = 9375 - 60000 + 3000\\profit = -47625\)

They would have a loss of $47625

Answer: \(10\sqrt{10}\)

Step-by-step explanation:

Geometric mean= Number of terms root of the product of all the terms of that sequence

sqrt(2sqrt(5)*5sqrt(2))= 10sqrt(10)

Answer:

The answer is 10x

Step-by-step explanation:

The first five terms of the given sequence are:

C: 18, 30, 42, 54, 66

The formula for the nth term of an arithmetic sequence is expressed as:

aₙ = a + (n - 1)d

where:

a is first term

d is common difference

n is number of term

The formula for the sequence is 12x + 6. Thus:

First term = 12(1) + 6 = 18

Second term = 12(2) + 6 = 30

Third term = 12(3) + 6 = 42

Fourth term = 12(4) + 6 = 54

Fifth term = 12(5) + 6 = 66

Thus, the sequence is : 18, 30, 42, 54, 66

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Answer:

Average time per day = 1.2 hours per day
Average time per day = 72 minutes per day

Step-by-step explanation:

To find Clarence's average time per day, we need to divide the total time he takes to walk the 15.5 miles by the number of days he walks, which is five.

Let's calculate his average time per day:

Average time per day = Total time / Number of days

Since Clarence takes a total of 6 hours to walk the 15.5 miles, we'll divide 6 by 5 to find his average time per day:

Average time per day = 6 hours / 5

Average time per day = 1.2 hours per day

To convert hours to minutes, we'll multiply the average time per day by 60:

Average time per day = 1.2 hours * 60 minutes

Average time per day = 72 minutes per day

Therefore, Clarence's average time per day is 72 minutes.

The given list of functions can be arranged in ascending order of growth rate as follows: g1(n), g5(n), g3(n), g4(n), g2(n), g6(n), and g7(n).

The Big O notation describes the upper bound of a function's growth rate. In other words, it represents the maximum amount of time or space that a function requires to complete its operations.

Using this concept, we can arrange the given list of functions in ascending order of growth rate as follows:

g1(n) = √2 log n: This function has a growth rate of O(log n), which is less than the growth rates of all other functions in the list.

g5(n) = n log n: This function has a growth rate of O(n log n), which is greater than the growth rate of g1(n), but less than the growth rates of all other functions in the list.

g3(n) = n 4/3: This function has a growth rate of O(n 4/3), which is greater than the growth rates of g1(n) and g5(n), but less than the growth rates of all other functions in the list.

g4(n) = n(log n)3: This function has a growth rate of O(n(log n)3), which is greater than the growth rates of g1(n), g5(n), and g3(n), but less than the growth rates of all other functions in the list.

g2(n) = 2n: This function has a growth rate of O(2n), which is greater than the growth rates of g1(n), g5(n), g3(n), and g4(n), but less than the growth rates of g6(n) and g7(n).

g6(n) = 22 n: This function has a growth rate of O(2n), which is greater than the growth rates of g1(n), g5(n), g3(n), g4(n), and g2(n), but less than the growth rate of g7(n).

g7(n) = 2n2: This function has a growth rate of O(2n2), which is greater than the growth rates of all other functions in the list.

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Complete Question:

Arrange the following list of functions in ascending order of growth rate, i.e. if the function g(n) immediately follows f(n) in your list then, it should be the case that f(n) = O(g(n)).

g1(n) = √2 log n

g2(n) = 2n

g3(n) = n 4/3

g4(n) = n(log n)3

g5(n) = n log n

g6(n) = 22 n

g7(n) = 2n2