A bicycle with 24 inch diameter wheels is traveling at 12 mi/h. Find the angular speed of the wheels in radians per minute.

Answer:

5/6 quarts of water

Step-by-step explanation:

2/3 same as 4/6. 4/6 + 1/6 = 5/6

A triangle is said to be right angle if one of the angles is 90 degrees, the value of the side x for the given right angle triangle is 50.51.

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The sum of all three angles inside a triangle will be 180° .

The given right-angle triangle has the following sides,

AC = Base

BC = Perpendicular

AB = Hyp.

By tan function,

Since,tanθ = Perp/Base

tan29° = 28/x

x = 50.51

Hence, "A triangle is said to be right angle if one of the angles is 90 degrees, the value of the side x for the given right angle triangle is 50.51".

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Answer:

The arc CD is: 114.64°

Step-by-step explanation:

The given triangle inside the circle, we can get the trigonometric ratio such as

sin x = opposite / hypotenuse

Here:

The opposite side of angle x = 36.7/2

The hypotenuse = 21.8

Thus,

sin x = [36.7/2] / [21.8]

sin x = 18.35 / 21.8

sin x  = 0.8417

x = arc sin (0.8417)

x = 57.32°

Thus, the angle formed at the center by CD is:

2 x 57.32 = 114.64°

Therefore, the arc CD is: 114.64°

Answer:

The arc CD would be 114.6°

We use- sin x = opposite / hypotenuse

In the problem the opposite side of angle x = 36.7/2 and the hypotenuse = 21.8

So:

sin x = [36.7/2] / [21.8]

sin x = 18.35 / 21.8

sin x = 0.8417

x = arc sin (0.8417)

x = 57.32°

So the angle formed at the center by CD would have to be 2 x 57.32 = 114.64°

BUT, it says to round to the nearest tenth, so the answer would therefore, the arc CD is: 114.6°

Answer:

\(\large \boxed{\sf \ \ v_0=32 \ \ }\)

Step-by-step explanation:

Hello,

The equation is

\(y=f(x)=-16x^2+v_0 \cdot x\)

The ball hits the ground 2 seconds after the player kicks it, it means that f(2)=0.

We need to find \(v_0\)  such that f(2)=0.

\(f(2)=-16\cdot 2^2+v_0 \cdot 2=-64+2v_0=0\\\\\text{*** add 64 to both sides ***}\\\\2v_0=64\\\\\text{*** divide by 2 both sides ***} \\\\v_0=\dfrac{64}{2}=32\)

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

v0 = 32 ft/s

Step-by-step explanation:

Answer:

look below

Step-by-step explanation:

(7.25 * 2) + 5.50 + (3 * 1.80) + 4.85

Lets combine

(7.25 * 2) + (3 * 1.8) + 10.35

7.25 * 2 is 14.50

3 * 1.8 is 5.4

14.50 + 5.4 + 10.35

is $30.25 before tip

(Tip should be 6.05 minimum, 20% of 30.25 is 6.05)

Answer:

Subtractive Property of equality

Step-by-step explanation:

Since x = y, When you subtract anything from x, you must do the same to y for them to stay equal.

Answer:

Subtraction property of equality

Answer:

1.2 dollars

Step-by-step explanation:

You have to divide the dollar count by the pound count.

So basically:

6/5

This gives you 1.2 dollars.

When you do unit rate, you just have to divide one value by the other value.

The value you divide by, and the value you divde, vary depending on what the question asks.

For instance, if this question asked what the pound count for 1 dollar would be, you would end up divide the 5 pounds by 6 dollars(5/6) instead of divideing the 6  dollars by 5 pounds like we did above(6/5).

Hope this helps!

Answer: 1.20 is your awnser

first divided 6.00 by 5

then you get $1.20 per pound

Step-by-step explanation:

AE= 17.4 to nearest tenth

Step-by-step explanation:

Opposite + hypotenuse = SOH / sin

Sin 31 = 6/h

xh, then ÷ sin31

H= 6/sin31

H= 11.649....(a or b & 6 being a or b)

a^2 + b^2 = c^2

c = 13.1

Actually it's not a right-angle triangle

180 - 13+31 (or 44) = 136 degrees

Cosine rule: a^2=b^2+c^2 - 2bc cosA

AE = root 11.649...^2 + 7^2 - 2x11.649...x7xcos136

= 17.3791......

AE= 17.4 to nearest tenth

Hope this helps!

Answer:

0

There are no red slices, so the probability is 0.

The value of x, y and z in the system equation is (1, 2, 3).

The solution of the equation can be determined by using Cramer's rule as follows;

[-5    -6      0] = [ -17]

[-3     -5     5]    [2   ]

[-6    -5      1]     [-13 ]

The determinant of the matrix is calculate as;

Δ = -5 (-5 + 25) + 6(-3 + 30) + 0(15 + 30)

Δ = 62

The x-determinant of the matrix is calculated as follows;

Δx = -17(-5 + 25) + 6(2 + 65) + 0

Δx = 62

The y-determinant of the matrix is calculated as follows;

Δy = -5(2 + 65) + 17(-3 + 30) + 0

Δy = 124

The z-determinant of the matrix is calculated as follows;

Δz = -5(65 + 10) + 6 (39 + 12) - 17(15 - 30)

Δz =  186

The value of x, y and z is calculated as follows;

x = Δx/Δ = 62/62 = 1

y = Δy/Δ = 124/62 = 2

z = Δz/Δ = 186/62 = 3

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\(\textit{surface area of a sphere}\\\\ SA=4\pi r^2 ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=4 \end{cases}\implies SA=4\pi (4)^2\implies SA\approx 201.1~in^2 \\\\[-0.35em] ~\dotfill\\\\ \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=4 \end{cases}\implies V=\cfrac{4\pi (4)^3}{3}\implies V\approx 268.1~in^3\)

Answer:

48 units squared

Step-by-step explanation:

The correct answer is A: 600 <= money <= 2822.4.

This represents the range of possible values that Pankaj's accumulated money could fall into, given the specified conditions of the 3% interest rate compounded weekly for a maximum of 2 years. The lower bound, 600, represents the initial deposit amount, while the upper bound, 2822.4, represents the maximum amount of money Pankaj could earn after 2 years, assuming that interest is compounded every week.

A: (f ÷ g)(x) = (3.6)⁻²ˣ⁺¹ is the solution of the function.

Functions are relationships that exist between a set of inputs and outputs. A function is an association of inputs, where each input is directly linked to one or more outputs. Range, codomain, and domain are all attributes of each function.

The given functions are:

f(x) = (3.6)ˣ⁺²

And g(x) = (3.6)³ˣ⁺¹

To find (f ÷ g)(x):

We take division of f(x) by g(x).

(f ÷ g)(x) = f(x) ÷ g(x)

(f ÷ g)(x) = (3.6)ˣ⁺² ÷  (3.6)³ˣ⁺¹

(f ÷ g)(x) = (3.6)ˣ⁺² ÷  (3.6)³ˣ⁺¹

(f ÷ g)(x) = (3.6)ˣ⁺² / (3.6)³ˣ⁺¹

Simplifying,

(f ÷ g)(x) = (3.6)ˣ (3.6)² / (3.6)³ˣ (3.6)¹

(f ÷ g)(x) = (3.6)ˣ⁻³ˣ (3.6)

(f ÷ g)(x) = (3.6)⁻²ˣ (3.6)

(f ÷ g)(x) = (3.6)⁻²ˣ⁺¹

Therefore, the answer is A:  (f ÷ g)(x) = (3.6)⁻²ˣ⁺¹

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The height of the given triangle will be 13.416 cm.

Given a right-angle triangle that has a hypotenuse of 14 cm, height of x, and base of 4 cm.

The Pythagorean theorem is a fundamental principle in geometry that establishes a relationship between the sides of a right triangle. It states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Applying the Pythagorean theorem, we can write:

\(14^2 = 4^2 + x^2\)

Simplifying the equation:

\(196 = 16 + x^2\)

Subtracting 16 from both sides:

\(180 = x^2\)

Taking the square root of both sides:

x = √180 = 6√5

Simplifying the square root:

x ≈ 13.416 cm

Therefore, the height (x) of the right-angle triangle is approximately 13.416 cm.

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To convert a rectangular equation to polar forma, we use

In the equation x=18, we only have x, so

Ok, so in order to find the line of symmetry, let's compare the parabola with have with the theory.

When we have a general parabola

The theory states that the symmetry lies on x = k

So, the line of symmetry is x=4

The period of the sine function representing the position of the band members is 60 feet, and the amplitude is approximately   \(170.3 feet.\)

Since the band members are standing in the shape of a sinusoidal function, we can assume that their positions can be represented by the equation:

\(y = A sin(Bx)\)

where y is the vertical position of a band member, x is the horizontal position on the field, A is the amplitude, and B is the period.

Since Darla is positioned in the exact center of the field, and the person closest to her on the same horizontal line stands 10 yards away, we can assume that the sinusoidal function has a phase shift of 0. This means that the midline of the function passes through the point (0, 0).

To find the amplitude, we need to determine the maximum and minimum heights of the function.

Since the playing area of the football field measures 300 feet by 160 feet, the distance between the two farthest points on the field is the diagonal distance, which can be calculated using the Pythagorean theorem:

\(sqrt(300^2 + 160^2) \approx 340.6 feet\)

Since the distance between the farthest points on the field is equal to the distance between two peaks or two valleys of the sinusoidal function, the amplitude is half of this distance:

\(A = 340.6/2 \approx170.3 feet\)

To find the period, we can use the fact that the distance between two consecutive peaks or valleys is equal to the period of the function.

Since the person closest to Darla stands 10 yards away, or 30 feet away, we can assume that this person is standing at a peak or a valley of the function. This means that the period is twice the distance between Darla and the person closest to her:

\(P = 2(30) = 60 feet\)

Therefore, the period of the sine function representing the position of the band members is 60 feet, and the amplitude is approximately   \(170.3 feet.\)

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The equivalenet expression is 54\(n^{-11}\)

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression.

The way of representing huge numbers in terms of powers is known as an exponent. Exponent, then, is the number of times a number has been multiplied by itself.

To simplify the given expression, we need to apply the power of a power rule, which states that to raise a power to another power, we need to multiply the exponents.

Starting with:

(\(6n^-5\))(\(3n^-3\))²

We can simplify as follows:

(\(6n^-5\))(\(9n^-6\))

Now, we can use the product of powers rule, which states that when multiplying two powers with the same base, we add their exponents.

Therefore:

6 x 9 = 54

\(n^-5 * n^-6 = n^-11\)

So the simplified expression is:

\(54n^-11\)

Therefore, the expression \((6n^-5)(3n^-3)^2\) is equivalent to \(54n^-11.\)

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The expression that is equal to (6n-5)(3n-3) option D, 54n11.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement.

We can use the distributive property of multiplication to expand the expression (6n - 5)(3n - 3) as follows:

(6n - 5)(3n - 3) = 6n(3n) - 6n(3) - 5(3n) + 5(3)

                 = 18n² - 18n - 15n + 15

                 = 18n² - 33n + 15

Therefore, the expression that is equivalent to (6n - 5)(3n - 3) is 18n² - 33n + 15, which is option D.

So, the answer is option D, 54n11.

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we have that

the point at left is about -3.75

the point at right is about 0.75

the distance is equal to

0.75-(-3.75)=0.75+3.75=4.50 units

Answer: 15

Step-by-step explanation:

There is a probability of 94/315 that the problem will be solved.

We are given that P has a chance of solving the problem of 2/7, Q has a chance of solving the problem of 4/7, and R has a chance of solving the problem of 4/9. To find the probability that the problem is solved, we need to consider all possible scenarios in which the problem can be solved.

The probability of this scenario is 2/7. If P solves the problem, then it does not matter whether Q or R solve it, the problem is already solved. Therefore, the probability of the problem being solved in this scenario is 2/7.

The probability of this scenario is 4/7. If Q solves the problem, then it does not matter whether P or R solve it, the problem is already solved. Therefore, the probability of the problem being solved in this scenario is 4/7.

The probability of this scenario is 4/9. If R solves the problem, then it does not matter whether P or Q solve it, the problem is already solved. Therefore, the probability of the problem being solved in this scenario is 4/9.

The probability of this scenario is (1-2/7) * (1-4/7) * (1-4/9) = 3/35. This is because the probability of P not solving the problem is 1-2/7, the probability of Q not solving the problem is 1-4/7, and the probability of R not solving the problem is 1-4/9. To find the probability of none of them solving the problem, we multiply these probabilities together.

To find the probability of the problem being solved, we need to add the probabilities of all the scenarios in which the problem is solved. Therefore, the probability of the problem being solved is:

2/7 + 4/7 + 4/9 = 94/315

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Answer:

\( \boxed{x = 4.0497}\)

Step-by-step explanation:

\( \boxed{question \: \underline{4}.} \\ 5 {x}^{2} - 7(9.5 + 3) = - 5.5 \\ 5 {x}^{2} - 66.5 - 21 = - 5.5 \\ 5 {x}^{2} = - 5.5 + 87.5 \\ 5 {x}^{2} = 82 \\ {x}^{2} = \frac{82}{5} \\ {x}^{2} = 16.4 \\ x = \sqrt{16.4} \\ \boxed{ x = 4.0496913463}\)

♨Rage♨........if you still need my help with the rest....then post each question seperatly.♨

Answer: Choice C

Vertex = (5, -2)

===============================================

Explanation:

Vertex form is \(y = a(x-h)^2 + k\) where the vertex itself is located at (h,k)

As the name implies, we can very quickly pull out the coordinates of the vertex without doing much math at all.

In the case of choice C, we have \(y= \frac{1}{2}(x-5)^2 - 2\) which is the same as \(y = \frac{1}{2}(x-5)^2 + (-2)\) and we can see that h = 5 and k = -2. Therefore, the vertex is located at (h,k) = (5, -2)

Answer:

Step-by-step explanation:

B = √(R² - A²)

Answer:

D

Step-by-step explanation:

Cos^2 2x=1/4

Cos 2x =+-1/2

2x=z

Cos z=+-1/2

z1=pi/3

z2=11pi/3

z1 and z2 are possible.

x1=pi/6

x2=11pi/6

Answer:

y = -3/2x-6

Step-by-step explanation:

y-intercept = - 6

Slope = - 3/2

I'm sorry I don't know what this is can you explain it sike