Another music store rents trombones for $30 a month plus a yearly fee of $48 is this a better deal (remember: Maria wants to rent a trombone from the first music store for $408 for 12 months)

Therefore, the answer is option C: theta = pi/2 and theta = 3pi/2.

To determine when tan(theta) is undefined on the unit circle, we need to remember the definition of the tangent function.
Tangent is defined as the ratio of the sine and cosine of an angle. Specifically, tan(theta) = sin(theta)/cos(theta).

Now, we know that cosine can never be equal to zero on the unit circle, since it represents the x-coordinate of a point on the circle and the circle never crosses the x-axis. Therefore, the only way for tan(theta) to be undefined is if the cosine of theta is equal to zero.
There are two values of theta on the unit circle where cosine is equal to zero: pi/2 and 3pi/2.

At theta = pi/2, we have cos(pi/2) = 0, which means that tan(pi/2) = sin(pi/2)/cos(pi/2) is undefined.
Similarly, at theta = 3pi/2, we have cos(3pi/2) = 0, which means that tan(3pi/2) = sin(3pi/2)/cos(3pi/2) is also undefined.
Therefore, the answer is option C: theta = pi/2 and theta = 3pi/2.

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Answer

this is a Parallelogram or a Polygon

Step-by-step explanation:

most likey the polygon

as i see it, it looks like a polygon

Answer:

y=-2x+12

Step-by-step explanation:

Answer:

Independent- wall  Dependent- amount of paint

Step-by-step explanation:

The independent variable is the variable the experimenter changes or controls and is assumed to have a direct effect on the dependent variable. ... The dependent variable is the variable being tested and measured in an experiment, and is 'dependent' on the independent variable.

Answer:

The answer is 12.5 dollars

Answer:

12.5

Step-by-step explanation:

Answer:

She earns £11 per hour

Step-by-step explanation:

You divide £440 with 5 days of the week and then you get how much she earns in a day. And then you devide with 8 and u get £11.

Caroline will earn £11 for working per hour.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that caroline works 8 hours a day 5 days a week she earns £440 each week.

The earnings for an hour will be calculated as,

Total hours = 8 x 5 = 40 hours

Earning per hour = £440 / 40

Earning per hour =  £11

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As a result, the solid's volume in the first octant, which is restricted by the paraboloid z = 4 + 2 x + 2 y, is 9.

We must determine the limits of integration for x, y, and z in order to determine the volume of the solid in the first octant bounded by the paraboloid z = 4 + 2x + 2y + 2 and the plane z = 10.

At z = 10, where the paraboloid and plane overlap, we put the two equations equal and find z:

4 + 2x^2 + 2y^2 = 10

2x^2 + 2y^2 = 6

x^2 + y^2 = 3

This is the equation for a circle in the xy plane with a radius of 3, centred at the origin. We just need to take into account the area of the circle where x and y are both positive as we are only interested in the first octant.

Integrating over the circle in the xy-plane, we may determine the limits of integration for x and y:

∫∫[x^2 + y^2 ≤ 3] dx dy

Switching to polar coordinates, we have:

∫[0,π/2]∫[0,√3] r dr dθ

Integrating with respect to r first gives:

∫[0,π/2] [(1/2)(√3)^2] dθ

= (3/2)π

So the volume of the solid is:

V = ∫∫[4 + 2x^2 + 2y^2 ≤ 10] dV

= (3/2)π(10-4)

= 9π

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The required equation for given problem is m-18=7

Linear Equation in one variable:

                                                      The linear equation is an easy way of representing a math statement. Equation contains only one variable whose degree is one. General form of linear equation is ax+b=0

              Example:  x+5=2

According to question,

Hakim and Pickles jogged on a forest trail for 18 minutes

but,

      Pickles still needs to exercise for 7 more minutes to reach the daily goal.

   Let m represent how many minutes Pickles should exercise each day

Now,

        As m minutes daily Pickles should have to exercise to reach the goal

but 18 minutes he has completed, still 7 minutes more he has to do an exercise to complete the goal.

we can write the above statement as,

                    m -18 = 7

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Answer:

A

Step-by-step explanation:

:p

Answer:

The cost of 4 dozen eggs is 4 * $1.25 = $5.

The cost of half a gallon of milk is $2.97.

The total cost of the eggs and milk is $5 + $2.97 = $7.97.

Since Chase has only $10, the minimum price for a dozen eggs is $10 - $7.97 = $2.03.

So the answer is 2.03

Step-by-step explanation:

Answer

-0.5; -0.9;-0.66049345252453235

Step-by-step explanation:

math

Answer and Step-by-step explanation:

The sum of 20 and 8 would look like

20 + 8

Then we have to subtract the product of 3 and 5 from the sum of 20 and 8.

(20 + 8) - 3(5)

^That is the expression^

The answer, when you evaluate the expression, is:

28 - 15 = 13

#teamtrees #PAW (Plant And Water)

Answer:

y=-7x+19

Step-by-step explanation:

y-y1=m(x-x1)

y-5=-7(x-2)

y=-7x+14+5

y=-7x+19

The equation of the line with slope - 7 which goes through the point (2, 5) is

y = - 7x - 19.

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

Given, A line passes through points (2, 5) with a slope of - 7.

∴ 5 = -7(2) + b in slope-intercept form.

5 = - 14 + b.

b = - 19.

y = - 7x - 19.

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Answer:

100%+15% = 115%

proportionally:

x - 100%

161 - 115%

x = (161 * 100%) / 115% = 140

Answer:

\(\Large\boxed{140}\)

Step-by-step explanation:

\(\sf Let \ x \ be \ the \ number.\)

\(\sf x \ increased \ by \ 15\% \ is \ 161.\)

\(x \times (1+15\%)=161\)

\(x \times (1+0.15)=161\)

\(x \times (1.15)=161\)

\(\displaystyle \frac{x \times (1.15)}{1.15}=\frac{161}{1.15}\)

\(x=140\)

Answer:

33.33% increase. 55.56% increase.

Step-by-step explanation:

Based on the information, the only prediction that is justified is that the speed of the fish will be greater than 40 mph, and the speed of the mammal will be less than 50 mph.

Therefore option B  is  correct.

Based on the given information above, we were able to deduct that about 75% of the fish were faster than 40 mph and about 75% of the mammals were slower than 50 mph.

We can go ahead and use this information to make predictions about the speeds of one additional fish and one additional mammal.

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Answer:

8(w+3) = 5

Step-by-step explanation:

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Required percentage value = a

total value = b

Percentage = a/b x 100

The percent markdown is 14%.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Original price = $179.30

The selling price = $154.15

The percent markdown.

= (179.30 - 154.15) / 179.30 x 100

= 25.15 / 179.30 x 100

= 14%

Thus,

The percent markdown is 14%.

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Answer:

Step-by-step explanation:

6) The diagonals of an isosceles trapezoid are congruent.

7) D) A diagonal of a kite bisects each of the non congruent angles and the other diagonal.

8) C) The diagonals of an isosceles trapezoid are congruent.

Hint:

Properties of isosceles trapezoid:

1. Only one pair of opposite sides are parallel.

2. The diagonals are congruent.

3. The  base angles are congruent.

4. The opposite angles are supplementary.

Answer:

True

Step-by-step explanation:

Please find the photograph for the square root of 3.

4√3

= 4 × 1.732

= 6.928

6.928

Hope it helps

The tangential component of acceleration is \(18t^3 / \sqrt{(9t^4 + 2)}\)

We need to take the derivative of velocity with respect to time:

\(r(t) = ti + t^3j + tk\)

\(v(t) = r'(t) = i + 3t^2j + k\)

\(a(t) = v'(t) = 6tj\)

The tangential component of acceleration is the component of acceleration that is in the direction of the velocity vector. In other words, it is the projection of the acceleration vector onto the velocity vector.

To find the tangential component of acceleration, we need to project the acceleration vector onto the velocity vector.

The dot product of the acceleration vector and the unit vector in the direction of the velocity vector gives the tangential component of acceleration.

The velocity vector is \(i + 3t^{2j} + k\) which has a magnitude of \(\sqrt{(1 + 9t^4 + 1)} = \sqrt{(9t^4 + 2)}.\)

The unit vector in the direction of the velocity vector is \((1/\sqrt{(9t^4 + 2)} ) * (i + 3t^{2j} + k)\).

The dot product of the acceleration vector and the unit vector in the direction of the velocity vector is:

\(a(t) . (1/\sqrt{(9t^4 + 2)} ) * (i + 3t^{2j} + k) = 6t * (3t^2 /\sqrt(9t^4 + 2)} ) = 18t^3 / \sqrt{(9t^4 + 2)}\)

Therefore, the tangential component of acceleration is \(18t^3 / \sqrt{(9t^4 + 2)}\)

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Step-by-step explanation:

22. 7 + x

24. 5x

26. f/10

28. 3x + 16

30. k² - 11

32. x + 10

34. 18q

23. x - 35

25. x/3

27. 45/r

29. 18 - 3d

31. 20/t⁵

(although, if being superficial, it could mean (20/t)⁵)

33. (k + 2) - 15

35. 2m + 6

To answer this question, we need to first determine the cost of making each keychain. We know that Wyatt spent $40 on materials, but we don't know how many keychains he can make with that amount. Let's say that each keychain requires $0.50 worth of materials. That means Wyatt can make 80 keychains with the $40 he spent.

Now, we need to determine how many keychains Wyatt needs to sell to make a profit. Let's say Wyatt wants to make a profit of $20. That means he needs to sell his keychains for a total of $60 ($40 for materials + $20 profit).

To figure out how many keychains Wyatt needs to sell, we can use the following inequality:

2.5x ≥ 60

Where x is the number of keychains Wyatt needs to sell. We can simplify this inequality by dividing both sides by 2.5:

x ≥ 24

This means that Wyatt needs to sell at least 24 keychains to make a profit of $20.

In summary, Wyatt needs to make at least 24 keychains and sell them for $2.50 each in order to earn a profit of $20.
Let's denote the number of braided keychains Wyatt needs to sell as x. To earn a profit, the revenue (income) from selling keychains should be greater than the cost of materials, which is $40.

Revenue can be calculated as the number of keychains sold (x) multiplied by the price of each keychain ($2.50). So, the inequality to represent this problem is:

2.50x > 40

Now, let's solve this two-step inequality:

1. Divide both sides of the inequality by 2.50:
x > 40 / 2.50

2. Simplify the inequality:
x > 16

So, Wyatt must sell more than 16 braided keychains to earn a profit.

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Answer:

It should be last choice

Answer:

D

Step-by-step explanation:

add 2 to the x value then add 2 to the y value

Answer:

Step-by-step explanation:

The first physical coordinate y1 can be expressed as y1 = [1 0 0]Y, & The mass-normalised mode shapes can be  normalising the mode shape vectors f1, f2, and f3.

Part (a)

In Equation Q2, the spectral matrix, undamped natural frequencies, damping ratios, and fundamental frequency need to be calculated.

The mass matrix is given by [85.16400 083.3770 0046.999; 0.079400 00.7030 001.07 × 10; 0.013600 03.1390 005.124 × 10].

The stiffness matrix is given by [0.16400 00.3770 000.999; 0.079400 00.7030 001.07 × 10; 0.013600 03.1390 005.124 × 10].

The damping matrix is given by [0 0 0; 0 0 0; 0 0 0].The undamped natural frequencies, damping ratios, and fundamental frequency for the system in Equation Q2 can be calculated from the spectral matrix.

The characteristic equation can be written as det(K-mω^2M)=0.where K is the stiffness matrix, M is the mass matrix, ω is the angular frequency, and m is the mass-normalised mode shape.

The roots of this equation are the undamped natural frequencies, and the damping ratios can be calculated from the undamped natural frequencies and mode shapes.

The mass-normalised mode shapes can be calculated by normalising the mode shape vectors f1, f2, and f3.

Part (b)

The mass-normalised mode shapes can be calculated using the mode shape vectors f1, f2, and f3.Part (c)The response of the system for the first physical coordinate y1 can be calculated using the mode superposition method. The initial modal displacements and velocities are given in terms of the modal coordinates.

The response is then calculated using the equation y(t)= Σ ai φi(t), where ai are the modal amplitudes, and φi(t) are the modal shapes given by the mode shape vectors f1, f2, and f3.

The first physical coordinate y1 can be expressed as y1 = [1 0 0]Y, where Y is the vector of physical coordinates. The modal amplitudes can be calculated from the initial modal displacements and velocities.

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