An amusement park charges $4. 25 for admission, plus $1. 50 for each ride ticket. Chase has $30 to spend on admission and ride tickets. What is the greatest number of ride tickets Chase can buy?

The volume of the sphere will be 905.2 cubic centimeter.

        Volume of sphere : (4/3) × π × r³

       Surface area of sphere : 4πr²

       Symmetry group: O(3)

Given is a sphere as shown.

We can find the volume of the sphere as -

[V] = (4/3) × π × r³

[V] = 4/3 x 22/7 x 6 x 6 x 6

[V] = 4 x 22/7 x 2 x 36

[V] = 88/7 x 72

[V] = 905.2 cubic centimeter

Therefore, the volume of the sphere will be 905.2 cubic centimeter.

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Answer:

Not Proportional

Step-by-step explanation:

Answer:

Proportional

Step-by-step explanation:

I just took the test

Have a nice day!

Answer:

To subtract integers, change the sign on the integer that is to be subtracted. If both signs are positive, the answer will be positive. If both signs are negative, the answer will be negative. If the signs are different subtract the smaller absolute value from the larger absolute value

The butterfly spread is constructed using the following three calls: - Buy 1 call with an exercise price of 120 at a price of $15.40.- Sell 2 calls with an exercise price of 125 at a price of $13.50 each.- Buy 1 call with an exercise price of 130 at a price of $11.35.


A butterfly spread involves buying one option with a lower exercise price, selling two options with a middle exercise price, and buying one option with a higher exercise price. In this case, we buy the call with an exercise price of 120, sell two calls with an exercise price of 125, and buy the call with an exercise price of 130.

To analyze the strategy, we need to consider the stock price at expiration. The breakeven stock prices are calculated by adding and subtracting the net debit or credit from the middle exercise price. In this case, the net debit is $1.60 ($15.40 – 2*$13.50 + $11.35), so the breakeven prices are $121.40 ($125 - $1.60) and $128.60 ($125 + $1.60).

The maximum profit of $1.60 occurs when the stock price is exactly at the middle exercise price of 125 at expiration. In this case, the two sold calls expire worthless, and the two bought calls have intrinsic value of $5 each. The minimum profit of -$1.40 occurs when the stock price is below $121.40 or above $128.60 at expiration. In this situation, all the options expire worthless, resulting in a loss of the net debit.

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a) It is not possible for everyone in a group of 5 friends to have exactly two friends.

b) It is possible for everyone in a group of 5 friends to have exactly three friends.

(a) It is not possible for everyone in a group of 5 friends to have exactly two friends. To see why, suppose that each person has exactly two friends. This means that each person is connected to two other people in the group. If we start at any person in the group, we can follow their connections to the other people in the group.

Since each person has only two friends, the connections will form a chain or loop. However, if we keep following the connections, we will eventually return to the original person, forming a loop. This means that the group must be connected in a loop or chain, but this is impossible with 5 people.

(b) It is possible for everyone in a group of 5 friends to have exactly three friends. One example is the complete graph on 5 vertices, denoted K5, where every vertex is connected to every other vertex. In this graph, every person has exactly 4 friends, since they are connected to all of the other people in the group.

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Answer:

Undefined

Step-by-step explanation:

For a unit circle, which has a radius as 1, we can derive the tangent values of all the degrees. With the help of a unit circle drawn on the XY plane, we can find out all the trigonometric ratios and values.

Answer:

C)Undefined

Not defined

Step-by-step explanation:

According to research ,

Tangent function denotes that for a given right-angled triangle, the tan of angleθ is equal to the ratio of the opposite side to the angle and adjacent side or base.

Tan θ = Opposite Side/Adjacent Side

We can also represent the tangent function as the ratio of the sine function and cosine function.

∴ Tan θ =Sin θ /Cos θ

So, tan 90 degrees in terms of ratio is,

Tan 90°=Sin 900 / Cos90°

From the trigonometric table, we know,

Sin 90° = 1

And,

Cos90° = 0

∴ Tan 90°= 1/0 = Undefined

That means, we cannot define Tan 900 value.

My source : The internet .

The number of days it would take for the increase is 3 days

From the information given, we have that;

Per day = 33% increase in the infection

Now, we have that for an increase of;

1,000 to 64,000

Let's determine the percentage of increase, we have;

64000 - 1000/64000 ×100/1

Subtract the values, we get;

63, 000/64000 × 100/1

Divide the values and multiply, we have;

98 %

Then, we have ;

if 1 day = 33%

x = 98%

Cross multiply the values, we have;

x = 98/33

x = 3 days

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If 160 people each play the game once, the number of bat-shaped pencils won would depend on the rules and mechanics of the game. Without specific information about the game, it is not possible to determine the exact number of bat-shaped pencils that would be won.

To determine the number of bat-shaped pencils won, we need to know the rules of the game and the conditions for winning a pencil. For example, if the game awards one bat-shaped pencil to each player who scores a certain number of points or completes a specific task, we would need to know the criteria for winning the pencil. If all 160 players meet the requirements, then each of them would receive one bat-shaped pencil, resulting in a total of 160 pencils won.

However, if the game has a limited number of bat-shaped pencils to be won, such as only 10 pencils available in total, then it would be a competition among the players to secure a pencil. In such a case, it would depend on the players' performances and the selection process defined by the game. Without further information about the game's rules and the availability of the bat-shaped pencils, it is not possible to determine the exact number that would be won.

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The equation for the total distance that he runs in one day is:

total dsitance = 4*2414 m = 9656m

So, here we know that Edward uns around the park trail 4 times in one day.

So, if D is the total distance of the trail, then the total distance that Edward runs in one day  is 4 times D, then the equation is:

total distance = 4*D

Here we know that the trail is 2414 meters long, then the equation will be:

total dsitance = 4*2414 m = 9656m

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Answer: B.  \(0 < a_2 < a_1\)

Explanation:

The coefficients tacked onto the trig functions tell us how vertically stretched the curves are. The dashed curve, representing \(y_1(t)\), is taller than the solid curve. Therefore \(a_1\) must be larger than \(a_2\)

For the sine curve, note how it is increasing after we pass through t = 0. This indicates we have \(a_1\) as a positive number. The value of \(a_2\) is positive because the point (0,k) on the cosine curve has k being positive.

Answer:

B. The length must decrease

Step-by-step explanation:

Given;

maximum volume of the tank, V = 24 ft³

maximum height of the tank, h = 4 ft

let the width of the tank = w

let the length of the tank = L

Volume of the tank is given by;

V = Lwh

L = V / (hw)

L = 24 / (4w)

L = 6/w

L is inversely proportional to w; an increase in w (width) will cause a decrease in L (length)

Therefore, If the designer increases the width of the fish tank, "The length must decrease"

Answer:

x=3

Step-by-step explanation:

Answer:  3=x

Step-by-step explanation:

According to the statement ( Evaluate the definite integral to find the area of the region bounded by the graphs of the equations x=y²+1 and x = y+3 ) the area of the region bounded by the graphs of the equations x=y²+1 and x=y+3 is \(\frac{19}{6}\).

To set up the definite integral, we need to determine the limits of integration. We can find the points of intersection between the two curves by solving the system of equations:

x = y² + 1 \

x = y + 3

Setting the two equations equal to each other:

y² + 1  & = y + 3 \

y²- y - 2 &= 0 \

(y - 2)(y + 1) &= 0

From this, we find two intersection points: y = 2 and y = -1.

Now, let's set up and evaluate the definite integral. Since the region is bounded by the curves, the integral will be taken with respect to y.

The integral representing the area A is given by:

\(\oint_{-1}^{2}x_{2}\left ( y \right )-x_{1}\left ( y \right )dy\)

where x_1(y) = y² + 1 and x_2(y) = y + 3.

Evaluating the integral:

A =\(\int_{-1}^{2} (y + 3 - (y^2 + 1)) , dy\)

= \(\int_{-1}^{2} (3 - y^2 - y + 1) , dy\)

= \(\int_{-1}^{2} (-y^2 - y + 4) , dy\)

= \(\int_{-1}^{2} (-y^2 - y + 4) , dy\)

= \(\int_{-1}^{2} (-y^2 - y + 4) , dy\)

= \(\int_{-1}^{2} (-y^2 - y + 4) , dy\)

= \(\frac{19}{6}\)

Therefore, the area of the region bounded by the graphs of the equations x=y^2+1 and x=y+3 is \(\frac{19}{6}\).

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set up and evaluate the definite integral to find the area of the region bounded by the graphs of the equations x=y^2+1 and x = y+3 --- graph and shade the region if you can... (if not just set up and evaluate)

To find the area bounded between the graphs of \(y = (x+7)^2\), \(x=2\), \(x=6\), and the x-axis, we can set up an integral and evaluate it. The integral that represents the area is: \(\int_{2}^{6} (x+7)^2 dx\)

First, let's graph the function \(y = (x+7)^2\). This is a parabolic function that opens upwards. The vertex of the parabola is located at the point (-7, 0). The x-intercepts can be found by setting y = 0 and solving for x. In this case, we have \((x+7)^2 = 0\), which gives us \(x = -7\). So, the graph intersects the x-axis at \(x = -7\).

Now, we want to find the area between the graph of \(y = (x+7)^2\), the x-axis, and the vertical lines \(x = 2\) and \(x = 6\). This means we need to find the area between the graph from \(x = 2\) to \(x = 6\).

To set up the integral, we need to express the area as a function of x. The area between the graph and the x-axis can be represented by the integral of the function \((x+7)^2\) with respect to x, from \(x = 2\) to \(x = 6\).

So, the integral that represents the area is:

\(\int_{2}^{6} (x+7)^2 dx\)

To evaluate this integral, we can expand \((x+7)^2\) to get \(x^2 + 14x + 49\).

The integral becomes:

\(\int_{2}^{6} (x^2 + 14x + 49) dx\).

Integrating each term separately, we get:

\(\left(\frac{1}{3}x^3 + 7x^2 + 49x\right) \Big|_{2}^{6}\).

Evaluating this expression at \(x = 6\) and subtracting the result when \(x = 2\), we can find the area bounded between the graphs.

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_____________________

Solution:

Exact Form:

\(\frac{4}{7}-(-\frac{3}{8}) = \frac{53}{56}\)

______________________

(^Note^)

To subtract fractions, find the LCD (Least Common Denominator), then combine.

Hope this helps! If so, please lmk! Thanks and good luck!

Answer: 53/56

Step-by-step explanation:

sorry if im wrong but since there is 2 negative signs it is going to become positive. so..

4/7+3/8

then make the denominators the same (56)

then multiply the numerators by the number you multiplied for the denominator for the question.

answer: 32/56+21/56 = 53/56

Answer:

RANGE

Step-by-step explanation:

Brainliest?

Answer:

$1710

Step-by-step explanation:

multiply 125 by 13 which is 1625 then add 85 which gives you a total $1710

The surface area of a polygon will be 4LW + 2W² square units.

A closed solid with two parallel rectangular bases joined by a rectangle surface is known as a rectangular prism.

Let the prism with a length of L, a width of W, and a height of H. Then the surface area of the prism is given as

SA = 2(LW + WH + HL)

If the two sides of the rectangle become the same that is W = H. Then the surface area of the prism is given as,

SA = 2(LW + W × W + WL)

SA = 2(2LW + W²)

SA = 4LW + 2W²

The surface area of a polygon will be 4LW + 2W² square units.

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The perimeter of the bedroom is 116ft

A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel.

The perimeter of a rectangle is expressed as;

P = 2(l+w)

where l is the length and w is the width of the rectangle.

length = √ 21-21)²+ 18-(-7)²

= √25²

l = 25 ft

width = √ 21-(-12)²+18-18)²

= √ 33²

= 33

Perimeter = 2(33+25)

= 2 × 58

= 116ft

therefore the perimeter of the bedroom is 116ft.

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The gross salary for a sales of 40000 dollars is 5500 dollars.

A man receives a monthly salary of $3 500 together with a commission of

5% on all sales over $5 000 per month.

Therefore, his gross salary in a month in which his sales amounted to

40,000 dollars can be calculated as follows:

Hence,

gross salary = 3500 + 5% of 40000

gross salary = 3500 + 5 / 100 × 40000

gross salary = 3500 + 400(5)

gross salary = 3500 + 2000

gross salary = 5500 dollars

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Answer:

The segment that connects the midpoints of the legs of a trapezoid is called the median of the trapezoid.

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

12 divide 4 3

16 divide 4 4

Answer:

-3/4

Step-by-step explanation:

-12/16 ÷ 4 = -3/4

A) Plotting y[n] requires specific initial conditions.

B) Eigenvalues are obtained by solving the characteristic equation.

C) Stability is determined by the magnitude of eigenvalues (less than 1 for stability).

D) The expression for y[n] depends on eigenvalues and initial conditions.

A) Plotting the first 50 terms of y[n] requires specific initial conditions, which are not provided. Without the initial conditions, we cannot determine the exact values of y[n] to plot.

B) To find the eigenvalues of the system, we start with the given equation y[n]=1.9y[n−1]−0.85y[n−2]. We assume a solution of the form y[n] = λ^n and substitute it into the equation. This leads to a characteristic equation of the form λ^2 - 1.9λ + 0.85 = 0. Solving this quadratic equation will give us the eigenvalues.

C) The stability of the system can be determined by examining the eigenvalues. If the magnitude (absolute value) of all eigenvalues is less than 1, the system is stable. If any eigenvalue has a magnitude greater than or equal to 1, the system is unstable.

D) Once we have the eigenvalues, we can express the response y[n] in terms of the eigenvalues. The expression will involve the eigenvalues raised to the power of n, along with coefficients determined from the initial conditions. However, without specific initial conditions, we cannot provide a precise expression for y[n].

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Solving the proportion using the multiplication property of equality gives

The both ratio showing fractions of one-fifth on the left hand side of the equation is equal to the right hand side of the equation which have t as the numerator and 3 as the denominator

The fractions will be solves by cross multiplying as below

1/5 = t/3

5 * t = 3 * 1

5t = 3

dividing through by 5

5t / 5 = 3 / 5

t = 3/5

plugging in t back to the initial equation gives

1/5 = t/3

1/5 = 3/5 / 3

1/5 = 1/5

Therefore t = 3/5

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Answer:

Complementary angles: the angles whose sum is 90° are called complementary angles.

Supplementary angles: the angles whose sum is 180° are called supplementary angles.

Step-by-step explanation:

hope it might help....

Answer:

3 OR 8  hope this helps!

Step-by-step explanation:

Investing $500 into account that collects 1% interest each month and add an $50 each week for 5 months, your balance will be $1,275.00.

To start, you invested $500 into an account that collects 1% interest each month. This means that after the first month, your balance will have grown by 1% of $500, or $5.00. So at the end of the first month, your balance will be $505.00.

Next, you add an additional $50 each week. This means that after the first week, your balance will have grown by $50, bringing your balance to $555.00. After the second week, your balance will have grown by another $50, bringing it to $605.00.

We can continue this pattern for 5 months, or 20 weeks. So after the third week, your balance will be $655.00, and after the fourth week, your balance will be $705.00.

Continuing this pattern for the next 16 weeks, your balance will continue to grow with the additional $50 each week and the 1% interest each month. At the end of the 5 months, your balance will be approximately $1,275.00.

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Answer:

X = 6
Y = -2
Z = 0
☆

EDGE 2022; good luck :D

Answer:

52.5

Step-by-step explanation:

15×7=105÷2

=52.5 ans it means fifteen times seven divided by two

The proposition "There is no greatest even integer" can be proven using the proof by contradiction method.

To prove the proposition "There is no greatest even integer" by contradiction, we assume the opposite, which is that there exists a greatest even integer, and then show that it leads to a contradiction.

Let's assume that there is a greatest even integer, and we'll call it 'G'. Since 'G' is the greatest even integer, we can also say that 'G + 2' is an even integer. However, 'G + 2' is greater than 'G', contradicting our assumption that 'G' is the greatest even integer. This contradiction arises because we found a larger even integer ('G + 2') than the one assumed to be the greatest ('G').

Hence, our assumption that there exists a greatest even integer leads to a contradiction. Therefore, we can conclude that there is no greatest even integer. This means that for any even integer you choose, you can always find another even integer that is greater, making it impossible to have a single greatest even integer.

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