Ruby is designing a new board game, and is trying to figure out all the
possible outcomes. How many different possible outcomes are there if
she flips a coin, rolls a fair die in the shape of a cube that has six sides
labeled 1 to 6, and spins a spinner with three equal-sized sections
labeled Walk, Run, Stop?
Answer:
Deluseu Dolicu
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Tarme of Sondeo
132
attempt 1 out of 2

Answer:

x = 4

Step-by-step explanation:

The line DE is parallel to AC and divides the sides proportionally, that is

\(\frac{BD}{AD}\) = \(\frac{BE}{CE}\) , substitute values

\(\frac{x+2}{x}\) = \(\frac{3}{2}\) ( cross- multiply )

3x = 2(x + 2) = 2x + 4 ( subtract 2x from both sides )

x = 4

Answer:

12:30

4:10 (simplified)

Step-by-step explanation:

For both part (a), the two nonnegative numbers, x and y must be 0 and 20 for the sum of their squares to be as large as possible, and 10 and 10 for the sum of their squares to be as small as possible. For part (b), x must be 20 and y should be 0 for largest possible result, whereas for smallest possible result x must be 0 and y should be 20.

Nonnegative numbers are numbers which are greater than or equal to zero.

For a much straightforward and easy way of solving such questions we can simply use the trial and error method.

For part (a), we can start off by taking both the numbers as 10. The sum of their squares will now be 100. If we take the numbers as 12 and 8, the sum of their squares will be 208. As we can see by increase one of the numbers we get a larger result. Thus, the largest possible values will be 20 and 0, which will give a result of 400. While carrying out this trial and error method we also found out that the minimum result was obtained when both the numbers were 10.

For part (b), a similar approach can be taken. Through trial and error method we observe that  20 + (0)^1/2 gives the largest possible result, whereas 0 + (20)^1/2 gives the smallest possible result.

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Answer:

Rory rode 1.55 miles each day

Step-by-step explanation:

7.75 divided by 5

Answer:

4. 78

5. 0

Step-by-step explanation:

4. b^2=9x9=81

   9a=9x1/3=3

   81-3=78

5.12a=12x1/3=4

  c=5

  b=9

  4+5-9=0

Answer:

13

Step-by-step explanation:

The range of a data set is the difference between the greatest and least values in the set. In this case, the greatest value is 15 and the least value is 2 so the range is 15 - 2 = 13.

Answer: The first 3 options

Step-by-step explanation:

You have to make sure that the given variable would be able to equal -5. The  \(\geq\) sign in the second and third answer show that the variable could be equivalent to -5.

Answer:

g > -7, f ≤ -5 and g ≥ -5

Step-by-step explanation:

the < and > symbols mean less than and greater than respectively, but not including. Therefore -5 cannot be a valid solution if the range is (for example) g > -5. However, ≤ and ≥ mean less/greater than or equal to, so -5 would be a valid solution for g ≥ -5 (for example).

Maria wrote incorrectly the function, it is:

y = |x - 4|

And:

She started with the parent absolute value function:

y = |x|

And wrote a translation to the right as:

y = |x + 4|

That is her mistake, a translation to the right of N units is written as:

g(x)= f(x - N)

So for a translation to the right of 4 units, we need to subtract 4 to the input, the actual function that we can see on the graph is written as:

y = |x - 4|

Now, the y-intercept is what we get when we evaluate in x = 0:

y = |0 - 4| = 4

So the y-intercept is (0, 4).

The x-intercept is the value of x such that y = 0, so we need to solve:

|x - 4| = 0

x - 4 = 0

x = 4

The x-intercept is (4, 0).

Finally, the domain (like in all absolute value functions) is the set of all real numbers, and the range is the set of all real numbers equal to or larger than zero.

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The parabola opens upward, so there is no minimum value achieved by y.

Equation of the line passing through (−2,5) and y-intercept 4 is

y = -2x+9.

This can be found by plugging in the given values into the slope-intercept form of the equation of a line,

y = mx+b.

Rearranging for b gives

y - mx = b,

so substituting

m=-2,

x = -2, and

y = 5 gives

5 - (-2)(-2) = 9.

Hence, the equation of the line is

y = -2x+9

The slope of the line ℓ1​ is -2, so the slope of the line ℓ2​ is 1/2, since the product of the slopes of two perpendicular lines is -1.

The line ℓ2​ passes through the origin, so the equation of

ℓ2​ is y = 1/2x.2.

Since the given x-intercepts of the parabola are 2 and 4, the parabola can be written in factored form as

y = a(x-2)(x-4),

where a is some constant.

To find the value of a, we use the given point

(3,-1):-1 = a(3-2)(3-4) = -a

Hence, a = 1.

Therefore, the equation of the parabola is

y = (x-2)(x-4).

To find the vertex, we complete the square:

\(y = x^2 - 6x + 8\)

\(= (x-3)^2 - 1.\)

Thus, the vertex is (3,-1).

Since the coefficient of\(x^2\) is positive, the parabola opens upward, so there is no minimum value achieved by y.

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For conversion of cubic feet to cubic meters, you can use the following conversion factor:

1 cubic meter = 35.3147 cubic feet

So, to convert cubic feet to cubic meters, you can multiply the number of cubic feet by the conversion factor of 0.0283168 (which is the reciprocal of 35.3147):

Cubic meters = Cubic feet x 0.0283168

For example, if you have a volume of 100 cubic feet, you can convert it to cubic meters as follows:

Cubic meters = 100 cubic feet x 0.0283168 = 2.83168 cubic meters

Therefore, 100 cubic feet is equivalent to 2.83168 cubic meters.

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Answer:

Yes, you are correct

Step-by-step explanation:

-2x + 9 - 9

-2x + 0

-2x

The value for X  in the equation is 200.14.

To solve for the value of X in the given equation, let's simplify and solve step by step.

We have:

-0.12 = (x - 238) / 238 + 9.3 / 238

Let's start by simplifying the right-hand side of the equation by finding a common denominator:

-0.12 = (x - 238 + 9.3) / 238

Combining the terms on the numerator of the right-hand side:

-0.12 = (x - 228.7) / 238

Next, let's multiply both sides of the equation by 238 to eliminate the denominator:

-0.12 * 238 = x - 228.7

-28.56 = x - 228.7

To isolate x, we'll add 228.7 to both sides of the equation:

-28.56 + 228.7 = x - 228.7 + 228.7

200.14 = x

Therefore, the value of X is 200.14.

In the given equation, -0.12 = (x - 238) / 238 + 9.3 / 238, the value for X is 200.14.

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The cardinality of the cartesian product of A and B is 18.

Cartesian Product of two sets A and B is defined as the set of all ordered pairs (a,b) where a∈A & b∈B.

Cardinality of a set is defined as the number of elements in that particular set.

For example,  for a set A={2,6,4} , the cardinality is 3.

Given set A= { x | x is a prime number less than 7}

A={2,3,5}

set B =  { y | y is perfect square of an integer and y is less than 29}

B={0,1,4,9,16,25}

The cartesian product of A and B denoted by AxB will be

AxB={(2,0),(2,1),(2,4),(2,9),(2,16),(2,25),(3,0),(3,1),(3,4),(3,9),(3,16),(3,25),(5,0),(5,1),(5,4),(5,9),(5,16),(5,25)}

The number of elements in AxB is 18.

Therefore , the cardinality of the cartesian product of A and B is 18.

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The probability that a student scores between 450 and 600 on the SAT math section is approximately 0.4147 or 41.47%.

To find the probability that a student scores between 450 and 600 on the SAT math section, we need to use the properties of the normal distribution. We know that the mean is 511 and the standard deviation is 110.

First, we need to standardize the values of 450 and 600 using the formula:

z = (x - μ) / σ

where x is the value we want to standardize, μ is the mean, and σ is the standard deviation.

For 450:

z = (450 - 511) / 110 = -0.55

For 600:

z = (600 - 511) / 110 = 0.81

Next, we need to find the area under the normal curve between these two standardized values. We can use a table or a calculator to find that the area between z = -0.55 and z = 0.81 is approximately 0.4147.

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The list of elements in q will be ±{1/2+1/2+1/2....}n and {1/2.1/2.1/2..........}n as Let q be the group of rational numbers under addition and let q* be the group of nonzero rational numbers under multiplication.

A rational number is one that can be stated mathematically as the ratio or fraction p/q of two numbers, where p and q are the numerator and denominator, respectively. For instance, every integer and 3/7 are rational numbers. If p and q are integers and q is not equal to 0, then the number is in the form of p/q and is said to be rational. Among the rational number examples are 1/3, 2/4, 1/5, 9/3, and so on.

In Q, <> is just all rationals that are of the form+( 1/2+1/2+)n-times (since the operation here is addition, the inverse of is) for some integer n. Of course, this is just the set {nZ}.

In Q, the operation is multiplication, so <> is rationals of the form (1/2*1/2*) n-times in other words the set {Z}.

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Answer:

O ion

Step-by-step explanation:

Well, when electrons are added or subtracted from an atom, there is a change and it becomes an ion.

Answer:

an atom is a small particle they can take part time n chemical reaction

To apply the fundamental existence theory for first-order initial value problems, we need to ensure that the given differential equation is both continuous and locally Lipschitz with respect to y. Let's analyze the equation:

(x^2 - 4)y' + x^2y = x/(x - 7)

The coefficient (x^2 - 4) is continuous everywhere, and the function x^2 is also continuous. Thus, the left-hand side of the equation is continuous on its domain.

Next, we need to check the continuity and local Lipschitz condition for the right-hand side, which is x/(x - 7). The denominator (x - 7) is zero when x = 7, so the right-hand side is not defined at x = 7. However, we can find a neighborhood around x = 7 where the function is continuous. For example, let's consider the interval (6, 8). In this interval, the function x/(x - 7) is continuous and well-defined.

Therefore, the differential equation is continuous on the interval (6, 8).

Now, we need to verify the local Lipschitz condition. For the given equation, the function f(x, y) = x/(x - 7) is continuous in the region of interest. To ensure it satisfies the Lipschitz condition with respect to y, we need to check if its partial derivative with respect to y is bounded in a neighborhood of the initial point (3, 1).

∂f/∂y = 0

The partial derivative is independent of y, which means it is constant and bounded. Hence, the local Lipschitz condition is satisfied.

Based on the above analysis, the fundamental existence theory guarantees that there exists a unique solution to the initial value problem on an interval containing the initial point (3, 1). Since the function f(x, y) is continuous in the interval (6, 8) and satisfies the Lipschitz condition, the unique solution is guaranteed to exist on the interval (6, 8).

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Answer:

2

Step-by-step explanation:

add 16 to zero

4x2=16

Divide 4x by 2 and 16 by two

4x=8

divide 8 by 4

x=2

Answer:

x = ± 2

Step-by-step explanation:

Given

4x² - 16 = 0 ( add 16 to both sides )

4x² = 16 ( divide both sides by 4 )

x² = 4 ( take the square root of both sides )

x = ± \(\sqrt{4}\) = ± 2

solutions are x = - 2, x = 2

When finding local maxima and minima from the graph of a derivative, we need to identify the points where the derivative changes sign. These points represent the locations of local maxima and minima on the original function.

When finding local maxima and minima from the graph of a derivative, we need to understand the relationship between the original function and its derivative. The derivative of a function represents the rate of change of the function at any given point. Local maxima and minima occur where the derivative changes sign from positive to negative or from negative to positive. At these points, the slope of the original function changes from increasing to decreasing or from decreasing to increasing.

By following these steps, we can identify the local maxima and minima from the graph of a derivative.

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Identify the critical points, Determine the intervals, Analyze the sign changes and Check the endpoints

To find the local maximum and minimum points from the graph of a derivative, you can follow these steps:

Identify the critical points: These are the points where the derivative is either zero or undefined. Find the values of x where f'(x) = 0 or f'(x) is undefined.

Determine the intervals: Divide the x-axis into intervals based on the critical points and any other points of interest. Each interval represents a section of the graph where the derivative is either positive or negative.

Analyze the sign changes: Within each interval, observe the sign of the derivative. If the derivative changes sign from positive to negative, there is a local maximum at that point. If the derivative changes sign from negative to positive, there is a local minimum at that point.

Check the endpoints: Also, check the derivative's sign at the endpoints of the graph. If the derivative is positive at the leftmost endpoint and negative at the rightmost endpoint, there is a local maximum at the left endpoint. Conversely, if the derivative is negative at the leftmost endpoint and positive at the rightmost endpoint, there is a local minimum at the left endpoint.

By following these steps and analyzing the sign changes of the derivative within intervals, as well as checking the endpoints, you can identify the local maximum and minimum points from the graph of the derivative.

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Answer:

h = 20 km

Step-by-step explanation:

Mario's path forms a right triangle with legs 16 km and 12 km and hypotenuse h. Let's use the Pythagorean Theorem (a² + b² = c²) to solve for h.

16² + 12² = h²

256 + 144 = h²

400 = h²

h = 20 km

i hope this work for you

and sory if im wrang

The answer to the question is 3+x

and the probability of blue balls is 3/3+x

We are required to find out the total number of balls that is the sum of blue and yellow balls

so the total number of balls in the bag​ is 3+x

The concept here used is probability.

Probability is the quantitative relation of rangethe amount|the quantity} of outcomes in  thorough set of equally possible outcomes that manufacture a given event to the whole number of doable outcomes

Probability(Event) = Favorable Outcomes/Total Outcomes = x/n

probability of blue balls=blue balls/total balls

=3/3+x

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Hey your question is incomplete, the complete question is

A bag contains 3 blue balls and x yellow balls.Write down the total number of balls in the bag.If a ball is drawn from the bag, write down the probability that it is blue.

Answer:

71.13

Step-by-step explanation:

The half area of a circle is A = 1/2 * pi*r^2 = 1/2 * pi * 3^2 or 9

The trapezoid is a rectangle and a triangle. Rectangle is 8*6 and the triangle is 6*(11 - 8) * 1/2

The total is 1/2 * pi * 9 + 8*6 + 6*(11 - 8) * 1/2 = 71.13

n²+13n+40,

This is why;

Observe only the right side. The number is (n+8)(n+5).

Let's elaborate on that using FOIL.

F = When we multiply the first two terms, n and n, we obtain n².

O = outer instructs us to multiply n by 5 to get n*5 or 5n from the outer terms.

I = inner instructs us to multiply the inner expressions 8 by 8 and n by n to obtain 8n.

Since 8 and 5 are multiplied by L, we obtain 8*5 = 40.

Add up the outcomes: n²+5n+8n+40 = n²+13n+40

Observe how the phrase is a little bit simplified by the combination of the like terms (5n and 8n).

This demonstrates how (n+8)(n+5) becomes n²+13n+40, becoming the correct response. For all values of n, none of the other options are valid equations;

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Answer:  

n

,  

n

+

2

,  

n

+

4

and  

n

+

6

.

Step-by-step explanation:

Answer:

30, 32, 34, 36

sorry for bad handwriting

Answer:

height = 6

Step-by-step explanation:

substitute x = 1.5 into the function

y = - 2(1.5)² + 7(1.5) = - 2(2.25) + 10.5 = - 4.5 + 10.5 = 6

Answer:

f = - 3

Step-by-step explanation:

Given

- 9(- 2f - 8) = - 6f ← distribute left side

18f + 72 = - 6f ( add 6f to both sides )

24f + 72 = 0 ( subtract 72 from both sides )

24f = - 72 ( divide both sides by 24 )

f = - 3

Answer:

8 inches

Step-by-step explanation:

The volume of a hemisphere is half the volume of a sphere.

Therefore, the sum of the volumes of the two hemisphere-shaped scoops of ice cream (with diameters of 4 inches), is equal to the volume of a sphere with diameter of 4 inches.

If the melted ice cream fills the cone exactly to the top without overflowing, the volume of the cone with diameter of 4 inches must be equal to the volume of a sphere with diameter of 4 inches.

As the diameter of a circle is twice its radius, then the radius of the sphere and cone is r = 2 inches.

The formulas for the volume of a cone and the volume of a sphere are:

\(\boxed{\begin{minipage}{4 cm}\underline{Volume of a cone}\\\\$V=\dfrac{1}{3} \pi r^2 h$\\\\where:\\ \phantom{ww}$\bullet$ $r$ is the radius. \\ \phantom{ww}$\bullet$ $h$ is the height.\\\end{minipage}}\)   \(\boxed{\begin{minipage}{4 cm}\underline{Volume of a sphere}\\\\$V=\dfrac{4}{3} \pi r^3$\\\\where:\\ \phantom{ww}$\bullet$ $r$ is the radius.\\\\\end{minipage}}\)

The depth of the cone is its height.

Therefore, to calculate how deep the cone must be so that the melted ice cream will fill the cone exactly to the top without overflowing, set the two equations equal to each other, substitute r = 2, and solve for h (the depth of the cone).

\(\begin{aligned}\textsf{Volume of a cone}&=\textsf{Volume of a sphere}\\\\\dfrac{1}{3} \pi (2)^2 h & = \dfrac{4}{3} \pi (2)^3\\\\\dfrac{1}{3} \pi \cdot 4 h & = \dfrac{4}{3} \pi \cdot 8\\\\\dfrac{4}{3} \pi h& = \dfrac{32}{3} \pi \\\\\dfrac{4}{3} h& = \dfrac{32}{3} \\\\4 h& = 32 \\\\h&=\dfrac{32}{4}\\\\h&=8\; \sf inches\end{aligned}\)

Therefore, the depth of the cone must be 8 inches.

The cone must be at least 8 inches deep in order for the melted ice cream to fill the cone exactly to the top without overflowing.

1. The opening of the ice cream cone has a diameter of 4 inches. This means that the radius of the cone's opening is 4/2 = 2 inches.

2. The two hemisphere-shaped scoops of ice cream have diameters of 4 inches each. This means that the radius of each scoop is 4/2 = 2 inches.

3. When the ice cream melts, it will take up the space between the scoops and fill the cone. In order for the melted ice cream to fill the cone exactly to the top without overflowing, the depth of the cone must be equal to the combined height of the two ice cream scoops.

4. The height of each hemisphere-shaped scoop can be calculated using the formula for the volume of a sphere, which is (4/3)πr³, where r is the radius.

  - For each scoop, the radius is 2 inches, so the height of each scoop is (4/3)π(2)³ = (4/3)π(8) = (32/3)π.

5. Since there are two scoops, the combined height of the two scoops is 2 * (32/3)π = (64/3)π.

6. Therefore, the cone must be at least (64/3)π inches deep in order for the melted ice cream to fill the cone exactly to the top without overflowing. This is approximately equal to 67.03 inches.

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Answer:

D

Step-by-step explanation:

   (1/3) / 8

= (1/3) * (1/8)

=1/24

Answer:

D

Step-by-step explanation:

Answer:

d = 95

Step-by-step explanation:

b and d are a linear pair, so the sum of their measures is 180 deg.

b + d + 180

85 + d = 180

d = 95

Answer:

If the measure of b is 85 degrees, what must be the measure of d?

Step-by-step explanation:If the measure of b is 85 degrees, what must be the measure of d?