Stuck on trig could use some help finding the tangent of A

Answer:

$1753.13

Step-by-step explanation:

Kane's Annual Salary  = $42,500

Gross Pay = $42,500

Net Pay = Gross Pay - 1% of Gross Pay

=42500 - (0.01 X 42500)

=$42,075

Since he is paid twice a month with paychecks being  of equal amounts.

Number of Payments in a Year =12 X 2= 24

Therefore, Kane's Take Home pay after Medicare taxes

\(= \$42075 \div 24\\=\$1753.13$ (to the nearest cent)\)

We can create a 3D surface plot of the function z = cos(x)cos(y)\(e^{-i0.2x}\) in the domain -2π ≤ x ≤ 2π and -π ≤ y ≤ π by using softwares such as MATLAB, Python (with Matplotlib), or Wolfram Alpha.

To make a 3D surface plot of the function z = cos(x)cos(y)e^(-i0.2x) in the domain -2π ≤ x ≤ 2π and -π ≤ y ≤ π, please follow these steps,
1. Identify the function and domain: The function is z = cos(x)cos(y)e^(-i0.2x), and the domain is -2π ≤ x ≤ 2π for x and -π ≤ y ≤ π for y.
2. Choose a software or tool to create the plot: There are several software and tools available to create 3D surface plots, such as MATLAB, Python (with Matplotlib), or Wolfram Alpha.
3. Define the function in the chosen software/tool: Input the given function into the software, and make sure it is properly formatted.
4. Define the domain in the chosen software/tool: Specify the range for x and y, which is -2π to 2π for x, and -π to π for y.
5. Create the 3D surface plot: Use the plotting function in the chosen software/tool to generate the 3D surface plot of the given function within the specified domain.
6. Analyze the plot: Once the plot is generated, you can analyze the characteristics of the function and visualize how it behaves in the given domain.

By following these steps, you will be able to create a 3D surface plot of the function z = cos(x)cos(y)e^(-i0.2x) in the domain -2π ≤ x ≤ 2π and -π ≤ y ≤ π.

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Answer:

  about 113.04 square inches

Step-by-step explanation:

No angles are indicated, so we must assume the sector is 1/4 of the circle. Then its area is 1/4 of that of a circle with radius 12 in:

  Circle area = πr²

  Sector area = (1/4)π(12 in)² = 36π in²

  Sector area ≈ 36(3.14) in² = 113.04 in²

Answer:

\(\frac{5}{6}\)

Step-by-step explanation:

Two fractions

\(\frac{1}{2} / \frac{3}{5}\)

Divide

______________

When dividing two fractions we follow KFC :

Keep

Change

Flip

Keep meaning to keep the fractions

Change meaning to change the division sign to the multiplication sign

Flip meaning to flip the second fraction.

KEEP -

\(\frac{1}{2} / \frac{3}{5}\)

CHANGE -

\(\frac{1}{2} * \frac{3}{5}\)

FLIP -

\(\frac{1}{2} * \frac{5}{3}\)

Multiply across :

\(\frac{1*5}{2*3}\)

\(\frac{5}{6}\)

Answer:

the answer is 5/6

Step-by-step explanation:

1/2 ÷ 3/5

= 5/6

The curve is y = In(sec(x)) and we have to find its length. We are given the range as 0 ≤ x ≤ π/4. So, the formula for the length of the curve is given as:

To solve for the length of the curve of y = In(sec(x)), we use the formula,

`L = ∫[a,b] √[1+(f′(x))^2] dx`.Where, `a = 0` and `b = π/4`. And `f′(x)` is the derivative of `In(sec(x))`.

We know that:`f′(x) = d/dx[In(sec(x))]`

Using the formula of logarithm differentiation, we can write the above equation as:

`f′(x) = d/dx[In(1/cos(x))]`

So,`f′(x) = -d/dx[In(cos(x))]`

Therefore,`f′(x) = -sin(x)/cos(x)`

Substituting the values, we get:

`L = ∫[a,b] √[1+(f′(x))^2] dx`

`L = ∫[0,π/4] √[1+(-sin(x)/cos(x))^2] dx`

`L = ∫[0,π/4] √[(cos^2(x)+sin^2(x))/(cos^2(x))] dx`

`L = ∫[0,π/4] sec(x) dx`

Now, `L = ln(sec(x) + tan(x)) + C` where `C` is a constant.

We calculate the constant by substituting the values of `a = 0` and `b = π/4`:

`L = ln(sec(π/4) + tan(π/4)) - ln(sec(0) + tan(0))`

`L = ln(√2 + 1) - ln(1 + 0)`

`L = ln(√2 + 1)`

Thus, the exact length of the curve is `ln(√2 + 1)` units.

Thus, the exact length of the curve of y = In(sec(x)), 0≤x≤π/4 is `ln(√2 + 1)` units.

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Answer:

8+2i

Step-by-step explanation:

Combine like terms

3+5=8

4i-2i=2i

Answer: 8 + 2i

Step-by-step explanation:

1) Rewrite the two complex numbers in standard form: (3 + 4i) + (5 − 2i) = 3 + 5 + 4i - 2i = 3 + 5 + 2i

2) Add the real parts and the imaginary parts separately: Real parts: 3 + 5 = 8 Imaginary parts: 2i + (-2i) = 0

3) Put the results in standard form: 8 + 0i = 8 + 0i = 8 + 0i = 8 + 0i = 8 + 0i = 8 + 2i

One that does not belong to other three fraction is  -6/8.

To determine which of these fractions doesn't belong with the other three, we need to compare them and look for any differences or similarities. One way to do this is to convert the fractions to a common denominator, which in this case would be 8.

-3/4 can be rewritten as -6/8 (multiply the numerator and denominator by 2), and -5/8 is already in the form of 5/8.

Now we can compare all four fractions:

-6/8, 5/8, -5/8, -5/8

We can see that three of the fractions have -5/8 in common, while the other fraction (-6/8) is different. Therefore, the answer to the question is -6/8.

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Note: The question given is incomplete. Here is the complete question.

Question: Which one doesn't belong with the other three? -3/4-5/8 -6/8 5/8

There are 120 people in a theatre. 72 are female and 48 are male. 12 females purchase an ice cream and 31 males purchase an ice cream.

Frequency trees display the real frequency of certain events. They can display the same data as a two-way table, but frequency trees are more readable since they illustrate the frequency hierarchy. Probability trees depict the likelihood of a series of occurrences.

Solution:

From the question, we can see the there are 120 people in the theatre.

Since, there are 72 females in the theatre we can find the total number of males by 120-72 = 48

Also, the male who purchased Ice Cream were 36 therefore, the males who did not purchased Ice Cream are 48-36 = 12

And, the females who purchased Ice Cream are 41. So, the female who did not purchased Ice Cream are 72 - 41 = 31

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complete question"

there are 120 people in a theatre 72 are female of these 41 purchase an ice cream 36 males purchase and ice cream use this information to compete the frequency tree

A total of 55.86 minutes have gone by since Greg started his run on the treadmill.

If Greg has completed 57% of his run, it means he has 43% of his run remaining.

To find out how many minutes have gone by, we can use proportions.

Let's say x is the total number of minutes Greg needs to complete his run:

x = 57% * 98 minutes

Evaluate

x =  minutes

Therefore, approximately 55.86 minutes have gone by since Greg started his run on the treadmill.

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To calculate the length of the curve defined by r(t) = 〈2 cos(t), 2 sin(t)〉 with the domain -π/2 ≤ t ≤ π/2, we need to find the arc length using the following formula:

Arc length = ∫(from a to b) ||r'(t)|| dt

First, let's find the derivative r'(t) of the given vector function r(t):

r(t) = 〈2 cos(t), 2 sin(t)〉
r'(t) = 〈-2 sin(t), 2 cos(t)〉

Next, find the magnitude ||r'(t)|| of the derivative vector:

||r'(t)|| = √((-2 sin(t))^2 + (2 cos(t))^2)
||r'(t)|| = √(4 sin^2(t) + 4 cos^2(t))

Factor out 4:

||r'(t)|| = √(4(sin^2(t) + cos^2(t)))

Since sin^2(t) + cos^2(t) = 1:

||r'(t)|| = √(4) = 2

Now, we can find the arc length by integrating ||r'(t)|| over the given domain:

Arc length = ∫(from -π/2 to π/2) 2 dt

To integrate, simply multiply the constant by the difference in t:

Arc length = 2(π/2 - (-π/2)) = 2(π) = 2π

So, the length of the curve is 2π.

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Answer:

8.4 Gallons

Step-by-step explanation:

The answer is 8.4 because 15.54 divided by 1.85 is 8.4

Answer:

About 8.4 gallons

Step-by-step explanation:

15.54/1.85=8.4

Answer: 115°

Step-by-step explanation:

The angles in a triangle add up to 180

Z+35+30=180

Z+65=180

Z=115

Answer:

80

Step-by-step explanation:

You could multiply by 2 and then divide by 3

120*2 = 240

240/3 = 80

Or you could divide by 3 and then multiply by 2

120/3 = 40

40*2 = 80

Answer:

Step-by-step explanation:

\(\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}\)

Answer:

3TX = 45

Step-by-step explanation:

See attached graph.

Form a right triangle and use length of the the two sides to find the hypotenuse, XT, 15.  3XT = 45

Answer:

x=5

Step-by-step explanation:

\(((x+3)/4)+(((2x-12)-1)/3)=1\\\frac{x+3}{4} +\frac{2x-12-1}{3} =1\\\frac{x+3}{4} +\frac{2x-13}{3} =1\\\)

Now we have to cross multiply the denominator to progress further.

\(\frac{3(x+3)}{4*3} +\frac{4(2x-13)}{3*4} =1\\\frac{3x+9}{12} +\frac{8x-52}{12} =1\\\frac{3x+9+(8x-52)}{12} =1\\\frac{3x+9+8x-52}{12} =1\\\frac{11x-43}{12} =1\\11x-43=12\\11x=43+12\\11x=55\\x=\frac{55}{11} \\=5\)

Answer:

See attachment

Step-by-step explanation:

My reasoning and calculations are attached.  I didn't get an answer that matches the answer options, but I think the reasoning is valid.  Perhaps you can spot a calculation error.  Sorry

(a) The number of insects at t=0 days is 500.
(b) The growth rate of the insect population is 7%.
(c) The population after 10 days is \(500 * e^(0.07 * 10)\)insects.
(d) The insect population will reach 700 insects at t = ln(700/500) / 0.07 days.
(e) The insect population will double at t = ln(2) / 0.07 days.

(a) To find the number of insects at t=0 days, we substitute t=0 into the function P(t)=\(500e^(0.07t).\)This gives us \(P(0)=500e^(0.07*0)=500e^0=500\).
(b) The growth rate of the insect population can be determined by examining the coefficient of t in the exponent of the function. In this case, the coefficient is 0.07. To convert this to a percentage, we multiply by 100, resulting in a growth rate of 7%.
(c) To find the population after 10 days, we substitute t=10 into the function \(P(t)=500e^(0.07t).\)This gives us \(P(10)=500e^(0.07*10)=500e^0.7\).
(d) To find when the insect population reaches 700, we set P(t)=700 and solve for t. This gives us 700=\(500e^(0.07t).\)We can solve this equation using logarithms to find the value of t.
(e) To find when the insect population doubles, we set P(t)=2P(0) and solve for t. This gives us 2500=\(500e^(0.07t),\) which can be solved using logarithms.
In summary, the number of insects at t=0 days is 500, and the growth rate of the insect population is 7%.

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Answer: C

Step-by-step explanation:

Slope is the number right in front of x, which in this case would be -2. So C is the answer.

Creating a table is hard, so I'll try my best. Just pretend the vertical line is connected.

x|y

0|5

1|3

2|1

3|-1

4|-3

The Laplace transform of the function f(t) = e²ᵗ cosh(5t) - t sin(2t) is 1/(s - 2) * (s/(s² - 25)) - 2/(s² - 4)².

To find the Laplace transform of the function f(t) = e²ᵗ cosh(5t) - t sin(2t), we can use the linearity and the Laplace transform formulas. Here's the solution:

Applying the linearity property, we can find the Laplace transform of each term separately.

Laplace transform of e²ᵗ cosh(5t):

Using the formula for the Laplace transform of eᵃᵗ f(t):

L{e²ᵗ cosh(5t)} = 1/(s - 2) * (s/(s² - 25))

Laplace transform of t sin(2t):

Using the formula for the Laplace transform of tⁿ f(t):

L{t sin(2t)} = 2/(s² - 4)²

Now, adding the Laplace transforms of the individual terms:

L{f(t)} = 1/(s - 2) * (s/(s²- 25)) - 2/(s² - 4)²

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Answer:

-0.316

Step-by-step explanation:

2.63-0.87-2.076

=-0.316

Hope it helped!

There were 1,579,200 births in the country.

To calculate the approximate number of births in the country, we can use the formula:

Number of births = (Population / 1000) * Birth rate

Given that the population is about 94 million (94,000,000) and the birth rate is 16.8 births per 1000, we can substitute these values into the formula:

Number of births = (94,000,000 / 1000) * 16.8

Number of births = 1,579,200

Therefore, there were approximately 1,579,200 births in the country.

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0.688 will be the probability of getting a nickel from the jar.

Given,

Probability;-

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

Here,

The number of fortunate situations divided by the total number of coins would be the product between the probability of each occurrence and the likelihood of each event.

Therefore,

P(nickel) = 19/69

P(penny) = 17/68

That is,

P = 19/69 × 17/68

P = 323/4692

P = 0.0688

That is,

The probability of getting nickel from the jar is 0.06888

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Answer:

LSA = 592cm^2.

Step-by-step explanation:

Well LSA is the SA but without the base so the blue square does not count.

So we have to find the area of the triangle which is b*h/2.

So 18.5*16 / 2 is 148.

And since there is 4 triangles with the same dimensions we do 148*4, 592cm^2.

Answer:

m = 2/3, you were correct

Step-by-step explanation:

plot the point on a graph

calculate the rise by going up alongside the y axis

the rise is 2

calcualte the run it takes to get to the second point

the run is 3

m = rise/run = 2/3

m = 2/3

Plz mark as brainliest if correct! Have a nice day!!!

Point A

(-16, 20)

Point B

(-16, -14)

The Distance Formula itself is actually derived from the Pythagorean Theorem which is a

The distance would be 34 units

Answer:

Length = 5cm, Width = 2cm

Step-by-step explanation:

W = L - 3

LW = 10

L(L-3)= 10

L²-3L-10=0

(L-5)(L+2)=0

L=5

W=2

Answer:

w is 2

L is 5

very sure

Answer:

30°

Step-by-step explanation:

Since the folded paper can fit into the slide three times, we simply have to multiply 10° by 3:

10° * 3 = 30°

The angle of the slide is 30°

The clock minutes rotate 270 degrees in 45 minutes.

While rotating, the clock's hands are seen to move at a speed of six degrees per minute.

The number of degrees for a clock minute is solved by

60 minutes  = 360 degrees

1 minute = ?

cross multiplying

60 * ? = 360

? = 360 / 60

? = 6

hence 1 minute is 6 degrees

The formula to use to get the calculation is multiplying the number of minutes by 6

Number of degrees in 45 minutes = 45 * 6

Number of degrees in 45 minutes = 270 degrees

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Answer:

23

Step-by-step explanation:

If you have something that says it is the f(x) or just f(something) then that is just telling you what the x equals. In this case, x=4 so you plug that into the equation.

This gives you f(4)=4(4)+7. From here, you will use the order of operations to solve.

f(4)=4*4+7

f(4)=16+7

f(4)=23

Answer:

f(4)=23

Step-by-step explanation:

1.f(4)=4(4)+7

2.f(4)=16+7

3.f(4)=23

hope this helps!