A fair coin is tossed five times. What is the theoretical probability that the coin lands on the same side every time?
A) 0.1
B) 0.5
C) 0.03125
D) 0.0625

Answer:

If it is a fair die then it should have 6 faces, each one having a number 1-6. The probability of landing on a single number is 1/6. Because the die is fair there should be an equal probability of landing on a number 1-6 giving you a probability of 1/6. However, if the number of times rolled is changed, then the answer would be multiplied or added (depending on the question).

Answer:

To solve the equation:

2/3x - 1/5x = x - 1

First, we need to find a common denominator for 2/3 and 1/5, which is 15. So we can rewrite the equation as:

(10/15)x - (3/15)x = 15/15 x - 1

Simplifying the left side:

(7/15)x = 15/15 x - 1

Multiplying both sides by 15:

7x = 15x - 15

Subtracting 7x from both sides:

-8x = -15

Dividing both sides by -8:

x = 15/8 or 1.875

Therefore, the solution to the equation is x = 1.875.

Answer:

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Let the cost of the meal be x.

Adding a tip of 19%:

Answer:

Wyatt should multiply with 1.19.

Step-by-step explanation:

Forming the expression,

→ 1 + (19% of 1)

Now the required number is,

→ 1 + (19% of 1)

→ 1 + ((19/100) × 1)

→ 1 + (19/100)

→ 1 + 0.19 = 1.19

Hence, required number is 1.19.

The function f(x) has five intercepts at -6 only, -2, -1, 1, and 3 only.

The correct answer is D.

The function f(x) has some specific characteristics as shown in the graph.

The graph of f(x) has five intercepts, as can be seen from the graph.

The intercepts of f(x) can be determined by observing where the graph of f(x) crosses the x-axis.

The function f(x) intercepts the x-axis at five different points: -6 only, -2, -1, 1, and 3 only.

At these points, f(x) = 0.
Furthermore, the graph of f(x) is increasing from -∞ to -6, then decreasing from -6 to -2.

The graph of f(x) then increases from -2 to -1, decreases from -1 to 1, increases from 1 to 3, and finally decreases from 3 to +∞.

Hence, we can deduce that the graph of f(x) has a local maximum point at x = -6, a local minimum point at x = -2, and another local minimum point at x = 3.
We can also conclude that f(x) is an odd function, meaning that f(-x) = -f(x).

This can be deduced from the symmetry of the graph about the origin.

Finally, we can see from the graph that the function f(x) is continuous everywhere except at x = -2 and x = 3.

At these points, f(x) is not defined.
The function f(x) has five intercepts at -6 only, -2, -1, 1, and 3 only.

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The 5th term in the expansion is 126 * (4x³y²)^5 * (-1/2y)^4, which simplifies to 126 * 4^5 * (x³)^5 * (y²)^5 * (-1/2)^4 * y^4.

To find the 5th term in the expansion of (4x³y² - 1/2y)^9, we can use the binomial theorem. The binomial theorem allows us to expand a binomial raised to a positive integer exponent.

The binomial theorem states that for any binomial (a + b)^n, the general term in the expansion can be written as C(n, k) * a^(n-k) * b^k, where C(n, k) represents the binomial coefficient, also known as "n choose k."

In our case, the binomial is (4x³y² - 1/2y)^9. The first term has an exponent of 9, so the last term will have an exponent of 0. Since we are looking for the 5th term, the exponent of y will be 9 - 5 = 4. The exponent of x will be 5, as 4x³ raised to the power of 5 gives x^15.

Using the binomial coefficient, we have C(9, 5) = 126.

Simplifying further, we get 126 * 1024 * x^15 * y^10 * (1/16) * y^4, which can be simplified as 126 * 64 * x^15 * y^14 * (1/16). The final result is 8064 * (x^15 * y^14) * (1/16), which can be further simplified if necessary.

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Answer:

$38

Step-by-step explanation:

I solved this by doing a proportion, 41.04/108 = x/100 to find the original price before the 8% tax. To solve this proportion you have to isolate the variable, so you would do the cross product and multiply (41.04 x 100) and have that equal to 108x. So then because you have 108x = 4104, isolate x by dividing by 108 and you get 38, thus $38.

You can also check your work by multiplying 38 by 0.08 to find the amount of sales tax added, and if you do this you will get the value $41.04.

A percentage is a number or ratio that represents a fraction of 100. 

If an item costs $41.04, including an 8% sales tax then the cost of the item before the tax is $37.76.

A percentage is a number or ratio that represents a fraction of 100. 

Example:

50% = 50/100 = 1/2

20% = 20/100 = 1/5

25% = 25/100 = 1/4

10% = 10/100 = 1/10

5% = 5/100 = 1/20

We have,

Cost of an item including tax = $41.04

Sales tax = 8%

8% = 8/100

The cost of the item without the sales tax:

= 41.04 - (8% of 41.04)

= 41.04 - (8/100 x 41.04)

= 41.04 - 3.2832

= 37.76

Thus,

The cost of the item before the tax is $37.76.

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Answer:

48 1/4

Step-by-step explanation:

plug in the values of m,n,p

4*7+23+2/8-3

= 28+23+1/4-3

= 28+23-3+1/4

= 28+20+1/4

= 48 1/4

Answer:

No

Step-by-step explanation:

10 is not less than 6, so 10 < r when r=6 is not true.

The given passage provides a proof that the Separation Axioms follow from the Replacement Schema.

The proof involves introducing a set F and showing that {a: e X : O(x)} is equal to F (X) for every X. Therefore, the conclusion is that the Separation Axioms can be derived from the Replacement Schema.In the given passage, the author presents a proof that demonstrates a relationship between the Separation Axioms and the Replacement Schema.

The proof involves the introduction of a set F and establishes that the set {a: e X : O(x)} is equivalent to F (X) for any given set X. This implies that the conditions of the Separation Axioms can be satisfied by applying the Replacement Schema. Essentially, the author is showing that the Replacement Schema can be used to derive or prove the Separation Axioms. By providing this proof, the passage establishes a connection between these two concepts in set theory.

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Answer:

Dependent Variable

Step-by-step explanation:

For example, the number of different colors on the page cannot be changed, but driving 80 miles per hour is changeable.

Answer: The function would have a minimum value because the least you will ever have is 0$. It cannot go below 0, so that is the minimum. However, depending on how much time has passed, the maximum amount of money you have can change. It can always go up more, so there is no set maximum.

Step-by-step explanation:

9514 1404 393

Answer:

  (x, y) = (19, 20)

Step-by-step explanation:

The coefficients of y are opposites, so we can add the two equations to eliminate y.

  (-3x +8y) +(-5x -8y) = (103) +(-255)

  -8x = -152

  x = 19 . . . . . . . divide by -8

Substituting into the first equation, we have ...

  -3(19) +8y = 103

  8y = 160

  y = 20

The solution is (x, y) = (19, 20).

The set of ordered pairs that represents a function is (D) {(-6, -3), (-4, -3), (-3, -3), (-2, -3), (0, 0)}.

A set of ordered pairs represents a function if each unique input (x-value) is associated with only one output (y-value).

{(-4, -3), (-2, -1), (-2, 0), (0, -2), (0, 2)}

In this set, both (-2, -1) and (-2, 0) have the same x-value but different y-values. Therefore, this set does not represent a function.

{(-5, -5), (-5, -4), (-5, -3), (-5, -2), (-3,0)}

In this set, all the ordered pairs have the same x-value (-5). Since (-5, -5), (-5, -4), (-5, -3), and (-5, -2) have the same x-value but different y-values, this set does not represent a function.

{(-4, -5), (-4, 0), (-3, -4), (0, -3), (3, -2)}

In this set, (-4, -5) and (-4, 0) have the same x-value but different y-values. Therefore, this set does not represent a function.

{(-6, -3), (-4, -3), (-3, -3), (-2, -3), (0, 0)}

In this set, each unique x-value is associated with a single y-value. There are no repeated x-values. Therefore, this set represents a function.

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Answer:

x = - 4

Step-by-step explanation:

i hope its helped. thank you !

The matching of items and their corresponding descriptions are 1. Domain, 2.Output, 3. Input, 4. Relation, 5. Function, and 6. Range.

1. Domain - the first element of a relation or function; also known as the input value.

3. Input - the x-value of a function.

6. Range - the second element of a relation or function; also known as the output value.

4. Relation - any set of ordered pairs (x, y) that are able to be graphed on a coordinate plane.

2. Output - a relation in which every input value has exactly one output value.

5. Function - the y-value of a function.

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i hope you got it ..........

Answer: See below

Step-by-step explanation:

The first is a beaker, it's used to measure liquid volume

The second is a ruler, it's used to measure length.

Last is a thermometer, it's used to measure temperature.

Answer:

  see attached

Step-by-step explanation:

You want the graph of the circle defined by the equation ...

  (x-2)^2 + (y-7)^2 = 4.

The equation of a circle with center (h, k) and radius r is ...

  (x -h)² +(y -k)² = r²

Comparing this to the given equation, we see ...

  h = 2, k = 7, r² = 4

Then r = √4 = 2.

The circle will have its center at (2, 7) and will have a radius of 2. It is shown in the attached graph.

<95141404393>

For the Given Parallelogram: AC¯≅BD¯;AC¯⊥BD¯

The parallelogram is not a square because the statement "AC¯≅BD¯;AC¯⊥BD¯" means that opposite sides of the parallelogram are congruent and perpendicular but it's not enough to say that the parallelogram is a square, In a square, all four sides are congruent, and the diagonal bisect each other at right angles.

For the first Theorem, AC¯≅BD¯, congruent figures' corresponding sides are congruent(CPCTC) while the AC¯⊥BD¯ Theorem have opposite angles of a parallelogram that is useful (Parallelogram Opposite angles Theorem).

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Answer:

i believe 67 its somewhat hard to tell but the line seems to be in the middle between 150 and 140

Step-by-step explanation:

since it heats up to 212 then the person lets it cool down for 10 mins the temp goes to 145 (Answer is 67)

The value of cos ø, for the given coordinates (8, 6), is 4/5 in the lowest terms.

To find the value of cosine (cos) ø, we need the coordinates (8, 6) of a point on the unit circle.

The unit circle is a circle with a radius of 1, and the coordinates (8, 6) do not lie on the unit circle. However, we can use these coordinates to calculate the cosine value indirectly.

First, we need to find the hypotenuse (r) of the right triangle formed by the coordinates (8, 6). We can use the Pythagorean theorem:

r = √(8² + 6²) = √(64 + 36) = √100 = 10

Now, we can find the cosine value by dividing the adjacent side length (x-coordinate) by the hypotenuse:

cos ø = 8 / 10 = 4/5.

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Answer:

TWO CRACKERS

Step-by-step explanation:

I'm assuming they want to find x. Here we see that these two are similar triangles, so the sides are reflective. 5x/5 should be equal to 4/x, so 5x/5 = 4/x. If we use cross multiplying we get 5x^2 = 20. divide both sides by 5 and we get x^2 = 4 or x = 2.

Hope this helped

The requried volume of the pedestal is 135 cubic inches.

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

Here,
The volume of a triangular prism is given by the formula V =base x h, where the base is the area of the base and h is the height of the prism.

In this case, the area of the base is given as 9 in², and the height of the prism is given as 15 inches.

Therefore, the volume of the pedestal is:

V = base x h

V = 9 in² x 15 inches

V = 135 cubic inches

So the volume of the pedestal is 135 cubic inches.

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a)  The thrust of the propeller is  23,834 lbf

b)  The induced velocity is 8.44 mph

c)  The velocity in the downstream far field away from the propeller disc     is 161.56 mph

d) The power absorbed by the fluid is  42.7 hp

e)  the propeller power (thrust flight speed) is  4,844.08 hp

f)  The propeller efficiency is 113.6%

a)The thrust of the propeller can be calculated using the equation,

Thrust = 2πρR^2V^2, where ρ is the air density, R is the propeller radius, and V is the average velocity of the propeller disc. For sea level at a speed of 150 mph, the air density is about 0.002377 slugs/ft^3.

the thrust of the propeller can be calculated as: Thrust = 2π x 0.002377 x (6 ft)^2 x (170 mph)^2 = 23,834 lbf

b)The induced velocity can be calculated using the equation v_ind = (1/2) V ∞ [1–(V_∞/V_tip)^2]^(1/2), where V_∞ is the free stream velocity and V_tip is the tip velocity of the propeller. For the given problem, the induced velocity can be calculated as: v_ind = (1/2) x 150 mph x [1–(150 mph/170 mph)^2]^(1/2) = 8.44 mph

c) The velocity in the downstream far field can be calculated using the equation V_∞ = V_tip – v_ind, where V_tip is the tip velocity of the propeller and v_ind is the induced velocity. For the given problem, the velocity in the downstream far field can be calculated as: V_∞ = 170 mph – 8.44 mph = 161.56 mph

d)The power absorbed by the fluid can be calculated using the equation P_fluid = (1/2) ρ V_ind^3 A_disc, where ρ is the air density, V_ind is the induced velocity, and A_disc is the area of the propeller disc. For the given problem, the power absorbed by the fluid can be calculated as P_fluid = (1/2) x 0.002377 x (8.44 mph)^3 x (π x (6 ft)^2) = 42.7 hp

e)The power absorbed by the propeller can be calculated using the equation P_prop = T x V, where T is the thrust of the propeller and V is the flight speed of the aircraft. For the given problem, the power absorbed by the propeller can be calculated as: P_prop = 23,834 lbf x 150 mph = 3,575,500 ft-lbf/s = 4,844.08 hp

f)The efficiency of the propeller can be calculated using the equation η = P_prop/P_fluid, where P_prop is the power absorbed by the propeller and P_fluid is the power absorbed by the fluid. For the given problem, the efficiency of the propeller can be calculated as: η = 4,844.08 hp/42.7 hp = 113.6%

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Answer:

AngleABC = 30°

Step-by-step explanation:

In the diagram, the important measure you need to know to find the answer is the measure of Arc AC

Arc AC = 60°

Then you need to see where the vertex (point, corner) of the Angle ABC is. Since the vertex is ON the circle, the angle is HALF the arc.

(if the vertex was at the center, the angle and arc would be the SAME)

Since arc AC = 60°, angleABC = 30°

Answer:

exactly one of the four are white