Jay bounces a ball 25 times in 15 seconds how many times does he bounce it in 60 seconds

The word that best describes the function f(x) = sin x is cyclic. the function f(x) = sin x is best described as cyclic due to its repeating, periodic nature.

The function f(x) = sin x represents a cyclic behavior where the output of the function repeats itself after a certain interval. As the input x varies, the values of sin x oscillate between -1 and 1, creating a repeating pattern. This periodic behavior is characteristic of trigonometric functions, and in particular, the sine function.

The function f(x) = sin x is not hyperbolic because hyperbolic functions, such as sinh x or cosh x, have a different mathematical form and behavior compared to trigonometric functions like sine. Hyperbolic functions are defined in terms of exponential functions and exhibit different properties.

The word idyllic is not appropriate to describe the function f(x) = sin x. Idyllic typically refers to a state of peace, happiness, or simplicity, which does not align with the nature of the sine function.

The function f(x) = sin x is also not linear or quadratic. Linear functions have a constant rate of change and can be represented by a straight line, whereas quadratic functions have a degree of 2 and can be represented by a parabola. The sine function, however, does not have a linear or quadratic form and exhibits a periodic, oscillating behavior instead.

In summary, the function f(x) = sin x is best described as cyclic due to its repeating, periodic nature.

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The translation from preimage P(9. 1.5) to image P'(12, 1)) in ordered pair is (3, -0.5)

Translation refers to a type of transformation that involve a straight line movement.

The type of movements related to translation includes

The up and down movements are on the vertical direction controlled by the y coordinate. In the question, the preimage moved form 1.5 to 1

hence we say

The left right movement is controlled by the x coordinate. The preimage moved from 9 to 12 ⇒ 9 + 3. Hence we say that

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Answer

9a-5

Step-by-step explanation:

5a - 8+ 4a +3 or 5a -5 +4a

If you combine it 5a - 5 + 4a

(sorry if wrong)

Step-by-step explanation:

Equation of straight line is y=mx+c

choose any two points on straight line

for me I choose:(-3,11) and (3,-1)

use these two points to find gradient,m.

m= (-1-11)/(3-(-3))

m= -2

now, y=-2x+c

choose any point on the straight line

I choose point (3,-1)

sub the point into the equation to find c

-1=-2(3)+c

c=5

equation: y=-2x+5

Answer:

L

Step-by-step explanation:

ml is used to measure smaller amounts.

Answer:

C

Step-by-step explanation:

Answer:

q=9.75

Step-by-step explanation:

The probability of rolling the die once to get a four is 1/6

So we do 1/6*1/6*1/6 which is 1/216 since it's combined probabilities

Hope this helped

So, the equation |x-10|=17 can be transformed into the following two linear equations:

x = 27

x = -7

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, separated by the 'equal' sign.

The non-negative value of a real number x, regardless of its sign, is its absolute value (or modulus), | x |. For instance, 5 has an absolute value of 5, and 5 has a value of 5. One way to think about a number's absolute value is its distance from zero on the real number line.

To transform the equation |x-10| = 17 into two linear equations, we need to consider the two possible cases for the absolute value: x-10 = 17 and x-10 = -17.

When x-10 = 17, x = 27

When x-10 = -17, x = -7

So, the equation |x-10|=17 can be transformed into the following two linear equations:

x = 27

x = -7

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Answer:

What is the question?

Step-by-step explanation:

The cost to border the outside of the mural using 1-centimeter square tiles is 600 dollars.

The area of Rectangle is length times of width.

We have been given that a rectangular mural has a length of 90 centimeters and a width of 30 centimeters less than its length.

Length = 90 cm

Width = 90 - 30 = 60 cm

The formula to calculate the perimeter of a rectangle,

Perimeter = 2(length + breadth)

Perimeter = 2(90 + 60)

Perimeter = 2(150)

Perimeter = 300

Therefore, the cost to border the outside of the mural using 1-centimeter square tiles costs $2 each.

= 300 x 2

= 600 dollar

Hence, the cost to border the outside of the mural using 1-centimeter square tiles is 600 dollars.

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9514 1404 393

Answer:

  A √2 is an irrational number

Step-by-step explanation:

A: √2 ≈ 1.4142135623730950488... an infinite non-repeating decimal (irrational)

B: √4 = 2 (rational)

C: ∛8 = 2 (rational)

D: √16 = 4 (rational)

Answer:

\(x^{18}\)

Step-by-step explanation:

When one exponent is being raised by another exponent, you can multiply them. The base remains the same.

3 * 6 = 18

Answer:

D. 10x + 8y -12

Step-by-step explanation:

-6x - 12 + 8y + 16x

-6x + 16x -12 + 8y

10x + 8y - 12

Answer:

\( - 6x + 16x + 8y - 12 \\ 10x + 8y - 12\)

D. 10x+ 8y-12

letter d is the answer

Therefore, the displacement of the wheel during this interval is approximately 141.372 cm.

To find the displacement of the wheel during this interval, we need to determine the distance traveled by a point on the rim of the wheel.

Given:

Radius of the wheel: 45.0 cm

The wheel rolls without slipping

The wheel rolls through one-half of a revolution

Since the wheel rolls without slipping, the distance traveled by a point on the rim of the wheel is equal to the circumference of the wheel for each complete revolution. Therefore, the distance traveled for one-half of a revolution is equal to half the circumference of the wheel.

The circumference of a circle can be calculated using the formula: C = 2πr, where r is the radius of the circle.

Using the given radius of the wheel, we can calculate the circumference:

C = 2π(45.0 cm) ≈ 2π(45.0) cm ≈ 282.743 cm (rounded to three decimal places)

Since the wheel rolls through one-half of a revolution, the displacement is equal to half the circumference of the wheel:

Displacement = 0.5 × 282.743 cm ≈ 141.372 cm (rounded to three decimal places)

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The wheel's displacement is equal to the 282.6 cm that it has covered in its voyage.

We must ascertain the wheel's distance traveled and the displacement's direction.

Since the wheel has completed one-half of a revolution, the distance it has gone is equal to half its circumference. The formula: can be used to determine a circle's circumference:

Circumference = 2 * π * radius

In this case, the radius of the wheel is 45.0 cm. Let's calculate the circumference:

Circumference = 2 * π * 45.0 cm

Circumference ≈ 2 * 3.14 * 45.0 cm

Circumference ≈ 282.6 cm

So, the distance traveled by the wheel is approximately 282.6 cm.

The wheel's displacement is the angular separation between its starting point, where it first makes contact with the ground, and its finishing point, where it stops after rolling through one-half of a rotation. The point of contact with the floor does not move since the wheel is moving without slipping.

Therefore, the wheel's displacement is equal to the 282.6 cm that it has covered in its voyage.

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Answer:

j

Step-by-step explanation:

(a) (2x + 1) multiplied by the integral of x + 3 with respect to x, (b) the integral of √(r + 3) multiplied by 4x multiplied by\(e^x\) and (c) 2c multiplied by the second derivative of \(t^2\) with respect to t.

In the first part, the expression (2x + 1) represents a linear equation multiplied by the integral of x + 3 with respect to x. This requires finding the antiderivative of x + 3, which results in \((1/2)x^2 + 3x\). The final result can be obtained by multiplying this antiderivative by the linear equation (2x + 1).

In the second part, the expression √(r + 3) represents the square root of the quantity (r + 3). The integral involves the product of 4x and e raised to the power of x, which implies finding the antiderivative of this product with respect to x. Once the antiderivative is determined, it is multiplied by the square root of (r + 3) to obtain the final result.

In the third part, the expression 2 multiplied by c represents a constant multiplied by the second derivative of t squared with respect to t. To calculate this, we need to find the second derivative of t squared with respect to t, which results in 2. Multiplying this by the constant 2c yields the final answer

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Answer:

C

Step-by-step explanation:

Answer:

7 days

Step-by-step explanation:

We need to find bracelets per day.

1 day 2 days

5 bracelets 10 bracelets

since we know how many bracelets she can make per day, all we have to do is divide 35 by 5.

to get 7 days.

Answer:

18.5yrs

Step-by-step explanation:

at average age 23 they were only 2 people.The husband and wife.Now after 10 years we have 3 people so you say 23+10+4 and divide all of that by the number of people.....3 then you will get their average age currently

The budgets of Hong Kong, the United States of America, and Korea differ in contents, formats, advantages, and disadvantages. While each budget has its strengths and weaknesses, they all aim to provide a clear and transparent financial plan for their respective countries.

A budget is a financial plan that estimates expected income and expenditure for a specific period. It may include income, expenses, debts, and savings. Budgets may vary from country to country and can be analyzed by comparing their contents, formats, advantages, and disadvantages. Here are the budgets of Hong Kong, the United States of America, and Korea:

United States Budget:

Korean Budget:

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Answer:A

Step-by-step explanation:

Answer:

The answer to this is

Step-by-step explanation:

A, I just got done with the test if not then D.

Answer:

37'500$

Step-by-step explanation:

25*15 (to find the area of the hall in square metres) = 375

375*100=37,500

a. Ø (empty set) is not a subset of the set containing 0, because the empty set has no elements and the set {0} has one element. b. 1022 can be written as 2¹¹ - 2 (since 2¹¹ = 2048), which means it fits the definition of the set and is an element of it.

We need to determine which symbol, ∈ (element of) or ⊄ (not a subset of), makes each statement true.

a. Ø____{0}
Ø ⊄ {0}
Ø (empty set) is not a subset of the set containing 0, because the empty set has no elements and the set {0} has one element.

b. 1022___{s|s = 2ⁿ – 2 and n ∈ N}
1022 ∈ {s|s = 2ⁿ – 2 and n ∈ N}
1022 can be written as 2¹¹- 2 (since 2¹¹ = 2048), which means it fits the definition of the set and is an element of it.

c. 3004____{x|x = 3n+ 1 and n ∈ N}
3004 ⊄ {x|x = 3n+ 1 and n ∈ N}
3004 cannot be represented in the form 3n+1 for any natural number n, so it is not a subset of this set.

d. 17_____N
17 ∈ ℕ
17 is a natural number (positive integer), so it is an element of the set of natural numbers (ℕ).

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Answer:

2nd, 3rd and 6th are the solutions

Step-by-step explanation:

As a result, the answer to the provided coordinate plane problem is only choice C), which is the right answer.

The term "coordinate plane" refers to a two-dimensional region that consists of two number lines. It emerges when the X-axis & Y-axis intersect at a location known as the origin. Using the numbers on a coordinate grid, one can locate points.

Here,

Since, If there is a coordinate plane with both parallel lines, go with option A.

Therefore, there is no cure.

There are hence a finite number of solutions that could be found.

If two lines cross, there is only one potential result for Option B. Consequently, the quantity of potential solutions is.

According to Option C, there must be an endless number of solutions to the system because there are two coinciding lines that provide us an infinite number of junction sites.

The difference between Option D) and Option B) is noted.

Only choice C) is hence the proper one.

Therefore , the solution to the given problem of coordinate plane comes out to be Only choice C) is hence the correct one.

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The ratios that could be the lengths of the two legs in a 30-60-90 triangle are √3:3 (option E) and 12√3 (option D).

In a 30-60-90 triangle, the angles are in the ratio of 1:2:3. The sides of this triangle are in a specific ratio that is consistent for all triangles with these angles. Let's analyze the given options to determine which ones could be the ratio between the lengths of the two legs.

A. √2:√2

The ratio √2:√2 simplifies to 1:1, which is not the correct ratio for a 30-60-90 triangle. Therefore, option A is not applicable.

B. 15

This is a specific value and not a ratio. Therefore, option B is not applicable.

C. √√√√5

The expression √√√√5 is not a well-defined mathematical operation. Therefore, option C is not applicable.

D. 12√3

This is the correct ratio for a 30-60-90 triangle. The ratio of the longer leg to the shorter leg is √3:1, which simplifies to √3:3. Therefore, option D is applicable.

E. √3:3

This is the correct ratio for a 30-60-90 triangle. The ratio of the longer leg to the shorter leg is √3:1, which is equivalent to √3:3. Therefore, option E is applicable.

F. √2:√5

This ratio does not match the ratio of the sides in a 30-60-90 triangle. Therefore, option F is not applicable. So, the correct option is D. 1 √2.

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The value of c that makes the equation true is c = 64, when x = 6 and y = 3.

To find the value of c that makes the equation true, we can start by simplifying both sides of the equation using exponent rules and canceling out common factors.

First, we can simplify 3√(x^3) to x√x, and 3√y to y√y, giving us:

x√x/cy^4 = x/4y(y√y)

Next, we can simplify x/4y to 1/(4√y), giving us:

x√x/cy^4 = 1/(4√y)(y√y)

We can cancel out the common factor of √y on both sides:

x√x/cy^4 = 1/(4)

Multiplying both sides by 4cy^4 gives us:

4x√x = cy^4

Now we can solve for c by isolating it on one side of the equation:

c = 4x√x/y^4

We can substitute in the values of x and y given in the problem statement (x>0 and y>0) and simplify:

c = 4x√x/y^4 = 4(x^(3/2))/y^4

c = 4(27)/81 = 4/3 = 1.33 for x = 3 and y = 3

c = 4(64)/81 = 256/81 = 3.16 for x = 4 and y = 3

c = 4(125)/81 = 500/81 = 6.17 for x = 5 and y = 3

c = 4(216)/81 = 64 for x = 6 and y = 3

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Answer:

6 hours - 5 = 2, so 15 = 6 , as its constant

a) True, b) False, c) False, d) True, e) False, f) False, g) True

a) The statement is true. The symbol "∅" represents the empty set, which does not contain any elements. Since 0 is not an element of the empty set, the statement "0 ∈ ∅" is false.

b) The statement is false. The symbol "{0}" represents a set containing the element 0. The empty set, represented by "∅", does not contain any elements. Therefore, the empty set is not an element of the set {0}.

c) The statement is false. The symbol "{0}" represents a set containing the element 0. However, the empty set, represented by "∅", does not contain any elements. Therefore, the set {0} is not a subset of the empty set.

d) The statement is true. The empty set, represented by "∅", does not contain any elements. Every set is a subset of the empty set, including the set {0}.

e) The statement is false. The symbol "{0}" represents a set containing the element 0. In this case, {0} is not an element of itself. Therefore, the statement "{0}∈{0}" is false.

f) The statement is false. The symbol "{0}" represents a set containing the element 0. In this case, {0} is not a proper subset of itself. Therefore, the statement "{0}⊂{0}" is false.

g) The statement is true. The symbol "{∅}" represents a set containing the empty set. In this case, {∅} is a subset of itself because it contains the element ∅. Therefore, the statement "{∅} ⊆ {∅}" is true.

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