sin 0 cos² 0 + sin³ 0 = sin 0​

9514 1404 393

Answer:

Step-by-step explanation:

For a general parabola ...

  y = ax² +bx +c

The first derivative is ...

  y' = 2ax +b

and the second derivative is ...

  y'' = 2a

The second derivative is a (non-zero) constant, so there is no point of inflection. The sign of the second derivative (the sign of 'a') tells you whether the graph opens upward (a>0) or downward (a<0).

The first derivative is 0 where ...

  y' = 0 = 2ax +b

  x = -b/(2a) . . . . . extreme point of the graph

Whether this point is a maximum (a<0) or a minimum (a>0) depends on the sign of 'a'.

The value of the function at the extreme is ...

  y = a(-b/2a)² +b(-b/2a) +c = b²/(4a) -b²/(2a) +c

  y = c -b²/(4a)

So, the extremum is ...

  (x, y) = (-b/(2a), c -b²/(4a)) . . . . . vertex of the parabola

__

1. We have a=5, b=7, c=3.

  First derivative: f'(x) = 10x +7

  Second derivative: f''(x) = 10 . . . . graph opens upward

  Zeros: the discriminant b² -4ac is 7²-4(5)(3) = -11, so no real zeros

  Vertex: (-7/10, 3 -49/20) = (-0.7, 0.55) . . . minimum

__

2. We have a=-1, b=-5, c=5/2.

  First derivative: f'(x) = -2x -5

  Second derivative: f''(x) = -2 . . . . graph opens downward

  Zeros: found from the quadratic formula: x = (-b±√(b²-4ac))/(2a)

     x = (-(-5) ±√((-5)² -4(-1)(5/2)))/(2(-1)) = (5 ±√35)/2 ≈ {-5.458, 0.458}

  Vertex: (-5/2, 5/2-25/-4) = (-5/2, 35/4) = (-2.5, 8.75) . . . maximum

Answer: 2x^3 - x^2 - 29x + 28

The distance between the points (-1, 5) and (-7, -3) is 10 units.

The distance formula used in finding the distance between two points is expressed as;

D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )

Point 1 (-1,5)

Point 2 (-7,-3)​

Plug the given values into the distance formula and simplify.

D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )

D = √[(-7 - (-1))² + (-3 - 5)²]

D = √[(-7 + 1)² + (-3 - 5)²]

D = √[-6² + (-8)²]

D = √[36 + 64]

D = √100

D = 10

Therefore, the distance is 10 units.

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The total number of possible ways a sales representative can take to go from city A to city G through city D are 12.

An arrangement of objects where the order in which the objects are selected does not matter.

Given is the total number of ways to go from city A to city D and from city D to City G.

Total number of routes from city A to city D → 3

Total number of routes from city D to city G → 4

In order to go from city A to city G through city D →

Select Path [1] out of the 3 paths from city A to city D, then from city D to city G we will have 4 possible ways. So, out of the 3 paths from city A to city D, one path can have 4 possible paths to go to city G. Therefore, for three such parts, the total number of possible ways in going from city A to city G through city D will be -

3 x 4 = 12

Therefore, the total number of possible ways a sales representative can take to go from city A to city G through city D are 12.

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The volume of the composite figure in this problem is given as follows:

76 ft³.

The volume of a rectangular prism, with dimensions defined as length, width and height, is given by the multiplication of these three defined dimensions, according to the equation presented as follows:

Volume = length x width x height.

The figure in this problem is composed by two prisms, with dimensions given as follows:

Hence the volume is given as follows:

2 x 6 x 3 + 2 x 4 x 5 = 76 ft³.

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If one basket is selected at random, the probability that both are mangoes is; 1/10

Contents of first basket;

3 mangoes

4 oranges

3 apples

Contents of second basket;

5 mangoes.

5 oranges.

5 apples.

Probability of mango in first basket is = 3/10

Probability of mango in second basket is = 5/15

Thus;

Probability that both are mangoes = (3/10) * (5/15)

Probability that both are mangoes = 1/10

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Answer:

208 cubic units

Step-by-step explanation:

The composite figure in the picture is composed of a triangular prism and a rectangular prism, both which can be calculated by the base * height formula.
First, let’s calculate the volume of the triangular prism:

The base is the area of the triangle base, which is dc/2, or 4*3/2, which is 6. Next, multiply the area of the base by the height “b”: 6 * 8 = 48.

Now, let’s calculate the volume of the rectangular prism:

The base is the rectangular base’s area, which is a*c, or 5*4, which is 20. Next multiply the base by the height “b”: 20 * 8 = 160

Now, add up the volumes of the rectangular and triangular prisms:

160 + 48 = 208 cubic units

Note that the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4). (Option B)

To rotate a point 90 degrees  clockwise about a given point,we can follow these steps -

Translate the coordinates   of the given point so that the center of rotation is at the origin.   In this case,we subtract the coordinates   of the center (0,1) from the coordinates of point A (5,4) to get (-5, 3).

Perform the rotation by swapping the x and y coordinates and changing the sign of the   new x coordinate. In this case,we  swap the x and y coordinates of (-5, 3)   to  get (3, -5).

Translate the coordinates back to their original position   by adding the coordinates of the center (0,1)  to the result from step 2. In   this case, we add (0,1) to (3, -5) to get (3, -4).

Therefore, the coordinates   of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4).

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The maximum and minimum value of η at q = 10 and q = 85 respectively.

The demand equation is p = 190/ (q + 10) where 10 < 0 < 85.

η is the elasticity of demand.

Then, the elasticity of demand is given as:

η = ( dq/ dp) × ( p / q )

Now, we have p = 190/ (q + 10)

Therefore,

p ( q + 10 ) = 190

pq + 10p = 190

q = ( 190 - 10p ) / p

Now,

dq / dp = ( d/dp ) ( ( 190 - 10p ) / p )

dq / dp =  ( -190/ p² )

Substituting these values in the elasticity demand,

η = ( dq/ dp) × ( p / q )

η = ( -190/ p² ) × ( p / q )

η = ( -190/ pq )

η = ( -190/ [190 / (q + 10 ) ]q )

η = [ - ( q + 10 ) / q ]

| η | = | - ( q + 10 ) / q |

η =  ( q + 10 ) / q = 1 + 10/q

The critical point is when | η' | = 0.

η' = ( d / dq ) ( 1 + 10/q )

η' = - 10/ q²

- 10/ q² = 0

Hence, - 10/ q² is not defined.

Therefore, the function is not defined at q = 0.

Therefore, q = 0 is not a solution.

We have 10 ≤ q ≤ 85

The value of functions at the endpoint,

At q = 10,

η = ( 1 + 10/q )

η = ( 1 + 10/10 )

η = 1 + 1 = 2

At q = 85,

η = ( 1 + 10/q )

η = ( 1 + 10/85 )

η = 1.11764

Therefore, the absolute value of the elasticity of demand is maximum at q = 10.

The absolute value of the elasticity of demand is minimum at q = 85.

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Answer:

The answer is

Step-by-step explanation:

The zeros with each multiplicity are given as follows:

The factor theorem is used to define the functions, which states that the function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.

Considering the linear factors of the function in this problem, the zeros are given as follows:

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Answer:

0.5

Step-by-step explanation:

Answer:

0.5 quarts

Step-by-step explanation:

orange juice: punch

1.5 : 3

divide both sides by 3 to get:

0.5 quarts of juice: 1 quart of punch.

hope this helps!

Answer:

Chris gave 4 and got 28

Dan gave 4 and got 28

this is the best I can do

sorry

This is because when n tends to infinity, the compounding period becomes infinitesimally small, and the interest rate becomes continuous. Hence, the value of V is given by the continuous compounding formula, V = Vo e^(rt).

Value is a concept that is highly relative and subjective, as it is based on subjective preferences and beliefs. Generally, value refers to the importance, worth, or usefulness of something. For example, the value of a car depends on its make and model, age, condition, and features. In the economic sense, value is the exchange value of a good or service. In terms of personal values, it is the importance that an individual places on a certain belief or idea.

(a) The indeterminate form is 0/0, which is known as a form of L'Hôpital's Rule.

(b) The limit of V as n approaches infinity is given by:

lim V = Vo e^(rt),

where e is Euler's number (approximately 2.718).

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Answer:

90 seconds

Step-by-step explanation:

To find the time it takes to take a certain amount of steps, divide the given rate by the time.

3/2 = 1.5

This means she takes 1.5 steps every second. Now, we can multiply this rate by 60 to find how far she will go in that time.

1.5 · 60 = 90

Bethany takes 90 steps in 60 seconds.

I hope this helps ^^ Good luck

At a price of $3, the total revenue will be the greatest, and the company will sell 3 units at that price.

To find the total revenue at each price, we can multiply the price by the corresponding quantity.

Price        Quantity          Total Revenue

$6                0                      $0

$5                 1                       $5

$4                 2                       $8

$3                 3                        $9

$2                 4                         $8

$1                  5                          $5

To find the price at which total revenue is the greatest, we look for the highest value in the Total Revenue column.

In this case, the highest total revenue is $9, which occurs when the price is $3.

At a price of $3, the company will sell 3 units (as indicated in the Quantity column).

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Answer:

D (-8, -16)

Step-by-step explanation:

(4+x)/2 = -2

4+ x = -2 · 2

4 + x = -4

x = -4 - 4

x = -8

(4 + y)/2 = -6

4 + y = -6 · 2

4 + y = -12

y = -12 - 4

y = -16

The angle LKN in the rhombus is 62 degrees.

A rhombus is a quadrilateral that has 4 sides equal to each other. The sum of angles in a rhombus is 360 degrees.

Opposite angles are equal in a rhombus. The diagonals bisect each other at 90 degrees. Adjacent angles add up to 180 degrees.

Therefore, let's find ∠LKN as follows:

m∠JMN = (-x + 69)

m∠LMJ = (-6x + 166)

Therefore,

1 / 2 (-6x + 166) = -x + 69

-3x + 83 = -x + 69

-3x + x = 69 - 83

-2x = -14

x = -14 / -2

x = 7

Therefore,

∠LKN = 1 / 2 (-6x + 166)

∠LKN = 1 / 2 (-6(7) + 166)

∠LKN = 1 / 2 (-42 + 166)

∠LKN = 62 degrees

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Answer:

True

Step-by-step explanation:

I hope this helps!

The reflected coordinates are = (3,3) , (3,0) , (-3,0) , (-3,3)

Answer:

not here

Step-by-step explanation:

Answer:

Not sure, but i believe it's 90/6 = 15  

Step-by-step explanation:

1/10 + 2.5/10 = 3.5/10 of an hour to make one bracelet. Then change to 20ths so the numerator is a whole number.

Divide your time available by the time it takes to make one.

21

4 = 420= 15 bracelets

7 28

20

(as a whole number there was no fraction or remainder to round off)

Answer:

10.5

Step-by-step explanation:

1+1=2

Andre needs average 6 cups of yellow paint if he uses 8 cups of blue paint to make the same shade of green. Andre needs 10 cups of blue paint if she uses 15 cups of yellow paint to make the same shade of green.

To make the same shade of green, the amount of yellow and blue paint needed is determined by their respective ratios. If Andre is using 8 cups of blue paint, he will need 6 cups of yellow paint for the same shade of green. This is because the ratio of blue to yellow paint is 8:6, or 1.3333:1. This means that for everyis needed. When using 15 cups of yellow paint, the amount of blue paint needed to make the same shade of green is 10 cups. This is because the ratio of yellow to blue paint is 15:10, or 1.5:1. This means that for every 1.5 cups of yellow paint, 1 cup of blue paint is needed. Therefore, if Andre wants to achieve the same shade of green, he will need 6 cups of yellow paint if he uses 8 cups of blue paint, and 10 cups of blue paint if he uses 15 cups of yellow paint.

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The coordinates of the marked point is :

Hello there!

The coordinates of the given point are (0, 9)

It means that the x-coordinate of this point is 0, and the y-coordinate is 9.

Hope this helps! :)

#HaveAnAmazingDay

\(GraceRosalia\)

Answer:

C.

Step-by-step explanation:

Choose two points on the line and find the slope. For example, let's use coordinates (0,2) and (5,4).

Use the slope formula to find the slope between these points.

y2-y1/x2-x1

4-2/5-0 = 2/5

Slope of the new line is 2/5.

With the slope, compare the two fractions. Set them up side by side and cross multiply. Whichever one gives you the larger number is the larger fraction. Larger slopes are going to be steeper. So, C is right.

Refer to my picture to see what I mean by cross multiplying.

The slope which shows  the cost per guest is $35 per guest

The given cost for 50 guests is $2150.

The cost for 75 guests is $3025.

It can also be represented as:

(Guest, Cost) =(50, $2150) & (75, $3025)

The slope can now be calculated as

Slope = (y₂ - y₁)/(x₂ - x₁)

Where

(x, y) = (50, $2150) & (75, $3025)

Substituting the given values in the equation as follows:

Slope = (3025 - 2150)/(75 - 50)

Slope = 35

Hence, the slope is $35 per guest.

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Answer:

$4.46

Step-by-step explanation:

$60- 24.32= $35.68

So $35.68=8 bags of potatoes.

Then ÷8 to find 1 bag.

$35.68 ÷8 = $4.46

$4.46=1 BAG