Which of the following is the equation of the function below? y=2sec (x+pi/6)+2 y=sec2(x+pi/6)]+2 y=sec[2(x+2)] + pi/6 y=2sec(x+2) + pi/6

Answer:

Answer is in pictures

Step-by-step explanation:

36=6x6 90=9x10

256+7=263 104=98+6-2

678=678 81+9=90

The trigonometric function requires a domain restriction of [0, π/2) ∪ (π/2, pi] is tan x, sec x.

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

tan x = (sin x)/(cos x)    

sec x = 1/(cos x)

cos x becomes zero at {-π/2,π/2}

Therefore, the both of the function are undefined at {-π/2,π/2}

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You could vote on it? There are as many ways as you can think of. It’s not set in stone.

The area of a 2D form is the amount of space within its perimeter. The correct option is D.

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

The area of the L block will be the sum of the area of A and B. Therefore, the area can be written as,

Area of L block = Area of A + Area of B

                          = (7×2) units² + (1 × 5) units²

                          = 14units² + 5units²

                          = 19units²

Hence, the correct option is D.

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The equation of the tangent to the curve at the point corresponding to the given value of the parameter will be x + y = c.

The curves are given below.

x = t⁵ + 1 and y = t⁶ + t

Then differentiate the functions with respect to t, then we have

[tex]\rm \dfrac{dx}{dt} = 5t^4\\[/tex]   ...1

and

[tex]\rm \dfrac{dy}{dt} = 6t^5 + 1[/tex]   ...2

Divide equation 2 by equation 1, then we have

[tex]\rm \dfrac{\dfrac{dy}{dt} }{\dfrac{dx}{dt} } = \dfrac{dy}{dx} = \dfrac{6t^5 + 1}{5t^4}[/tex]

Then the slope of the equation at t = −1, then we have

dy/dx = [6(-1)⁵ + 1]/[5(-1)⁴]

dy/dx = (-6+1)/5

dy/dx = -5/5

dy/dx = -1

Then the equation of the tangent line will be

y = -x + c

x + y = c

Where c is a constant.

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Answer:

27,032 Rupees

Step-by-step explanation:

$1.09 x 400 = $436

$436 x 62 = 27,032

(Hope this helps and that it's not wrong ^-^)

Answer:

A=108

B=22

C=51

D=28

Step-by-step explanation:

A= AFB is a vertical angle opposite 108

B= congruent angles congruent sides, 11 x 2 sides

C= using angle rules, alternate interior angles of 21 puts 21 in the

triangle with 108, all triangles sum total 180, so (180-21=51)

for the 3rd angle ACD

D=last answer

The measure of the angle shown is 280°

From the question, we are to determine the measure of the angle shown

For the given protractor,

The measure between any two lines is 10°.

Also, there are 10 tick marks between any two lines.

∴ 15 tick marks will have a measure of 15°

Then,

The measure of a protractor showing an angle going through the fifteenth tick mark after two hundred sixty five degrees will be

265° + 15° = 280°

Hence, the measure of the angle shown is 280°

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The two limiting factors that affect both deciduous forests and grasslands very low rainfall throughout the year ,  a wide range of temperatures throughout the year , Option 1 and 3 are the correct answer.

The places where there is not enough rainfall for the forest to sustain and grow , a layer of grass is spread out , these are called as grasslands.

The two limiting factors that affect both deciduous forests and grasslands is that they both receive very low rainfall throughout the year.

and a wide range of temperatures throughout the year , It can get very warm and simultaneously very cold .

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Answer:

z=98 degrees

x=64 degrees

y=18 degrees

Step-by-step explanation:

y is congruent to 18 since theyre opposite of eachother, same with x and 64. find z by using the straight 180 line. (180=64+18+z, so z=98)

Answer:

14 weeks

Step-by-step explanation:

Let's create and equation to display this situation. Toby already has $70 saved, so that is not the variable and no x should go next to it. He is saving $15 more each week. Lastly, we want to end up with $280 saved. The equation will look like this, given the information:

15x + 70 = 280

To find how many weeks it will take, solve the equation!

15x = 210            Subtract 70 from 280

x = 14                  Divide 210 by 15

Therefore, it will take Toby 14 weeks to save up for a new skateboard.

Hope this helps! If you have any questions about my work, please let me know down in the comments!

Answer:

x = 25

Step-by-step explanation:

First turn this into an equation:

[tex]\frac{4}{5}[/tex] times x = 20

Now divide both sides by [tex]\frac{4}{5}[/tex]. You can't divide by a fraction, instead you multiply by flipping the fraction. So now you're multiplying both sides by [tex]\frac{5}{4}[/tex].

20 times 5 = 100. Next you divide [tex]\frac{100}{4}[/tex]. This is equal to 25. You have completed the equation and now have the answer:

x = 25

Have a great day!

Make the equations equal and solve for x

For x=0

For x=-1

The solutions are

Graph attached

Answer: [tex]\frac{5}{12}[/tex]

Step-by-step explanation:

   We will subtract the amount of water that leaked out from the amount of water originally in the fish tank.

[tex]\displaystyle \frac{3}{4} - \frac{1}{3} =\frac{3*3}{4*3} -\frac{1*4}{3*4} =\frac{9}{12} -\frac{4}{12}=\frac{5}{12}[/tex]

         The fish tank is [tex]\frac{5}{12}[/tex] of the way full.

Given the amount of water needed to fill the cement dam and the water pump rate, the time needed to fill the dam is 400 minutes or 6hours 40minutes.

Option B)6h 40min is the correct answer.

Given that;

To determine how long it take to fill the dam, we say;

Time need = Amount of water needed ÷ Pump rate

T = A ÷ r

T = 30000 litres ÷ 75 litres/minute

T = 400 minutes

Note that; 60min = 1hrs

Hence,

T = 6hours 40minutes

Given the amount of water needed to fill the cement dam and the water pump rate, the time needed to fill the dam is 400 minutes or 6hours 40minutes.

Option B)6h 40min is the correct answer.

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Answer:

Step-by-step explanation:

Givens

Comment

This is a proportion. A proportion is 2 equal ratios. If you know 3 parts of a proportion, you can solve for the 4th.

Equation

wage/time = wage2/time2                   Substitute values.

Solution

367.40 /22 = 584,50 /x                        Cross multiply

367.40x = 22 *584.50                          Simplify the right

367.40x = 12859                                   Divide both sides by 367.40

x = 12859/367.40

x = 35

Answer

Genesis will have to work 35 hours.

Answer:

$42 would be the correct answer.

Answer:

6x-6x56 =-2016

Step-by-step explanation:

You have to subtract, then multiply by 56 to get -2016, as it shows a negative.

The length of EF which lie on line EC is 8.66 units.

Parallel lines are the lines that do not intersect or meet each other at any point in a plane. They are always parallel and are at equidistant from each other. Parallel lines are non-intersecting lines.

Here,    EG = 6.9 ,        FC = 6.4,           GD = 5.1

Also. FG || CD

By Basic Proportionality Theorem,

               [tex]\frac{EF}{FC} = \frac{EG}{GD}[/tex]

               [tex]EF = \frac{EG . FC}{GD}[/tex]

               EF =  (6.9 X 6.4) / 5.1

               EF = 8.66 units

Thus, The length of EF which lie on line EC is 8.66 units.

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The measure of the angle KNU (∠KNU) of the cyclic quadrilateral is; Option 3: 50°

From the attached cyclic quadrilateral of NUK Energy Company's new logo, we can say that equal angles intercept equal arcs and as such, the measure of angle KNU will be;

∠KNU 1/2 * 100 = 50°

This is because If two inscribed angles of a circle intercept the same arc or arcs of equal measure, then the inscribed angles have equal measure.

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The domain of the function is 0 ≤ t ≤ 3 and the greatest concentration of the medication is 2mg/L

The equation of the function is given as:

[tex]C(t) = \frac{-18t^2 + 54t}{t^2 + 7t + 10}[/tex]

Time can be 0 or greater but cannot be negative.

So, the domain of the function includes t ≥ 0

Set the function to 0 to determine the maximum value of t.

[tex]\frac{-18t^2 + 54t}{t^2 + 7t + 10} = 0[/tex]

Cross multiply

[tex]-18t^2 + 54t = 0[/tex]

Factor out -18t

-18t(t - 3) = 0

Divide both sides by -18t

t - 3 = 0

Add 3 to both sides

t = 3

This means that the maximum value of t is 3

Hence, the domain of the function is 0 ≤ t ≤ 3

From the graph of the function (see attachment), we have the maximum value to be;

C(t) = 2

Hence, the greatest concentration of the medication is 2mg/L

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Answer:(-8,0)

Step-by-step explanation:

Add (-1,-6) with translation move (-7,6)

-1 , -6

-7 , 6

____

-8 , 0

Based on the fact that there is power outage, it  is important to leave the freezer and refrigerator doors closed as when it is open, it may lead to heating off fast.

This is known to be when there is no electrical power due to unforeseen reasons.

Based on the fact that there is power outage, it  is important to leave the freezer and refrigerator doors closed as when it is open, it may lead to heating off fast and thus things on it may get bad easily. The right thing to do is to leave it closed.

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Answer:

4/8

Step-by-step explanation:

15 1/8 - 1/2(4/8) = 14 5/8

By applying concepts from vectorial calculus, we conclude that the gradient of the one variable function y = 2 · x³ - 7 · x + 4 when x = -2 is equal to 17.

A gradient is a generalization of the tangent curve used for multivariate function, that is, a function with more than one variable. In this case we have a function with one variable, which means that the gradient is equal to the slope:

[tex]\nabla f = \frac{df}{dx}[/tex]     (1)

Now we proceed to calculate the gradient of the curve:

[tex]\nabla f = 6\cdot x^{2}-7[/tex]

[tex]\nabla f = 6\cdot (-2)^{2}-7[/tex]

[tex]\nabla f = 17[/tex]

By applying concepts from vectorial calculus, we conclude that the gradient of the one variable function y = 2 · x³ - 7 · x + 4 when x = -2 is equal to 17.

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Answer:

it's 9

Step-by-step explanation:

type it in a calculater

Answer: 35

Step-by-step explanation:

Angles in a triangle add to 180 degrees, so in triangle ABC, [tex]m\angle C=180-103-42=35^{\circ}[/tex].

Sp, by the corresponding angles theorem, x=35

Answer:

4^3 = 4x4x4

Step-by-step explanation:

its just a shortened version of 4x4 3 times