Please help with these questions

Answer:

x [tex]\geq[/tex] 19.75

Step-by-step explanation:

x ≥ 50 - 30.25

x ≥ 19.75

To get a free meal, he needs to spend 19.75 or more.

When x changes from 2 to 5, the average velocity (or average rate of change of y with respect to x) is 9.33 m/s. When x changes from 2 to 2 + h, the average velocity is 2 + hm/s.

Average speed is determined by dividing the total distance you travelled by the total time, whereas average velocity is determined by dividing your displacement (a vector Throughout the entire period, position to your finish position).

(A) The following formula is used to get the average velocity when x changes from 2 to 5:

value of y at x = 2

= 2²+2 = 6 m

value of y at x = 5

= 5²+5 = 30 m

displacement equals 30 – 6 = 24 m.

Time is 5 - 2 = 3 seconds.

average velocity

= displacement /Time duration

= 24/3 = m/s

B) Value of y at x = 2 = 5 for x changing from x to x plus ie for minimal change in x.

Displacement during a little change in x will be 0 because the value of y will once again be 5.

C )  

y(x) = x² + x

dy / dx = 2x + 1

dy / dx  represents instantaneous  velocity

so when x = 2

instantaneous velocity = 2 x 2 +1

= 5 m /s

T know more about average velocity visit:-

https://brainly.com/question/29125647

#SPJ1

In circle L with m/KLM = 60 and KL = 18 units, the length of arc KM is approximately 18.85 units.

What is circle?

A circle is a geometrical shape that is defined as the set of all points in a plane that are equidistant from a given point called the center of the circle. The distance between the center of the circle and any point on the circle is called the radius of the circle.

We can use the formula for the length of an arc of a circle:

L = rθ

where L is the length of the arc, r is the radius of the circle, and θ is the angle subtended by the arc at the center of the circle (in radians).

In this problem, we are given the measure of the central angle m/KLM = 60 degrees, which is equal to 60/360 = 1/6 of a full revolution (360 degrees). Therefore, the angle θ subtended by the arc KM is:

θ = (1/6) * 2π = π/3 radians

To find the length of arc KM, we need to know the radius of circle L. Since we are not given this information directly, we can use the fact that KL is a chord of the circle and the perpendicular bisector of KL passes through the center of the circle. Let O be the center of circle L, and let N be the midpoint of KL. Then ON is the radius of the circle, and KN = KL/2 = 9 units.

We can use the Pythagorean theorem to find ON:

ON² = OM² + MN²

where OM is the distance from O to the midpoint of LM. Since OM is perpendicular to LM, it is also the altitude of triangle KLM, and we can use the formula for the altitude of an equilateral triangle to find that OM = ([tex]\sqrt{3}[/tex]/2)KL = 9[tex]\sqrt{3}[/tex] units.

Since MN = KL/2 = 9 units, we have:

ON^2 = [tex](9*\sqrt{3} )^2 + 9^2[/tex] = 243 + 81 = 324

so ON = 18 units.

Now we can find the length of arc KM using the formula:

L = rθ = 18 * (π/3) = 6π units

Rounding to the nearest hundredth, we get:

L ≈ 18.85 units.

Therefore, the length of arc KM is approximately 18.85 units.

Learn more about  equilateral triangle

https://brainly.com/question/3461022

#SPJ1

Answer:

Alright, so we want to know how much that can be earned in one year. So that's going to be 3000. And this is simple interest. So this is one plus 0.011, which equals $3,033. And that's the solution to this exercise.

Answer:

$3,036

Step-by-step explanation:

The new customer can open a money market account. The bank will deposit $3,000 into the account.

The bank will pay 1.2% (0.012) in interest every year. This interest will increase the original amount to $3,036.

Answer:

$660

Step-by-step explanation:

If she gets $12/ an hour and works for 40 hours, 12*40=480. For every hour over 40, she gets $18/an hour, so if she works for 50 hours, you do 18*10 since she only worked 10 hours over 40. 18*10=180. To get the total amount, you do 480+180, which is 660.

Hope this helps! Please give brainliest!

Answer:

Therefore, Kayla will make $660 for working 50 hours.

Step-by-step explanation:

Let H be the number of hours worked in a week. The total pay can be represented as a piecewise function as follows:

f(H) =

12 * min(H, 40) +

18 * max(0, H - 40) if H >= 0

So, for H = 50 hours worked, we have:

f(50) = 12 * min(50, 40) + 18 * max(0, 50 - 40)

= 12 * 40 + 18 * (50 - 40)

= 480 + 180

= $660

Therefore, Kayla will make $660 for working 50 hours.

On first evening she receives 19 calls and on second evening  she receives 11 calls while on 3rd evening she receives 38 calls.

A mathematical equation is a fοrmula that joins two statements and uses the equal symbol (=) tο indicate equality. A mathematical statement that establishes the equality of twο mathematical expressions is knοwn as an equation in algebra. Fοr instance, in the equatiοn 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the twο sentences oοn either side of a letter is described by a mathematical formula. Often, there is οnly one variable, which alsο serves as the symbol, fοr instance, 2x – 4 = 2.

X, Y, and Z represents the 1st , 2nd, and 3rd evenings

X + Y + Z = 68

⇒ X = Y + 8

⇒ Z = 2(Y + 8)

⇒ Y + Y + 8 + 2(Y + 8) = 68

Y = 11 calls

And

X = (11)+ 8 = 19 calls

Z = 2((11) + 8) = 38 calls

To know more about equation visit:

brainly.com/question/649785

#SPJ1

The supportive statement is m∠WKT ≅ m∠TRW.

An open, flat object with four straight sides and one pair of parallel sides is referred to as a trapezoid or trapezium.

A trapezium's non-parallel sides are referred to as the legs, while its parallel sides are referred to as the bases. The legs of a trapezium can also be parallel. The parallel sides may be vertical, horizontal, or angled.

The altitude is the measurement of the angle perpendicular to the parallel sides.

We know a trapezoid is isosceles if the two nonparallel sides are equal.

Therefore, In KWRT, [tex]\overline{WK}[/tex] ≅ [tex]\overline{TR}[/tex] and [tex]\overline{KR} || \overline{TW}[/tex].

The missing statement to support all other statements would be,

m∠WKT ≅ m∠TRW as the angle formed by the pair of the corresponding sides is equal.

learn more about trapezoids here :

https://brainly.com/question/8643562

#SPJ1

Answer:

              Based on the measures of the following triangle's angles, the triangle can be classified as an obtuse triangle.

Step-by-step explanation:

              In order to decide which type of triangle this is, first we must understand what an acute, right, and obtuse triangle are. Acute triangles are triangles with all three of its angles less than 90°, right triangles are triangles with one angle that is exactly 90°, and obtuse triangles are triangles with one angle that is greater than 90°. Overall, we can determine the type of this triangle by looking at its angles.

             The given triangle has the angles 25°, 136°, and 19°. Now we can compare it to the rules above and see whether this triangle is acute, right, or obtuse. As the given triangle has an angle that is greater than 90°, we can conclude that the following triangle is an obtuse triangle.

Have a great day! Feel free to let me know if you have any more questions :)

The requried graph with the x-axis labeled a number of side dishes and the y-axis labeled cost in dollars and a line going from point [0,5.25] through point [3, 9.75]. Option C is correct.

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
Calculate the slope of the given relation in the table, using any two of the ordered pair,
m = 11.25 - 8.25 / 4 - 2
m = 3/2
m = 1.5

Now calculate the slope in each option, the slope of any option matches with m = 1.5 then that will be the required graph, so the slope of the graph mentioned in option C matches with m = 1.5.

Thus, Option C is the required answer.

Learn more about slopes here:
https://brainly.com/question/3605446

#SPJ1

Answer:

the answer is 24 sides

explanation

Answer: 6.38

.................

Answer:

what is that maybe l can be of help to u

Answer:

Step-by-step explanation:

Generally an equation which will be true for all values of x have some statement which can be simplified into another state which will always be true.

So for example: [tex]x+4=x+4[/tex], is kind of a bit obvious to tell it's going to be true for all values as the two expressions have the same exact terms, but we can subtract "x" from both sides leading us to the statement: [tex]4=4[/tex] which is always true.

One important thing to note is you must be cautious at times, for example: [tex]\frac{x-2}{x-2}=\frac{x-2}{x-2}[/tex] may seem to be true for all values, and x-2 over x-2 is the same thing, so it simplifies to one and same thing on the right side: [tex]1=1[/tex] thus the statement should be true for all values right? Not completely, it's true for most values, except for x=2, and this is because 1=1 isn't exactly the same expression. In the original fraction the denominator has an x-2, and if we plug in x=2, we get 2-2 resulting in division by one, which of course isn't definable. So that's just one important thing to note as simplifying expressions may result in expressions that look equal, but are slightly different in a way.

Answer: x+y=22; 150x+350y=4800

Step-by-step explanation:

The values of sec a - cosec a/sec a+cosec a is 4/25.

The trigonometric ratios of any acute angle in a right-angled triangle are the ratios of its sides to that angle.

In a right-angled triangle,

Here we have

tan A = 21/29

As we know Tan θ = Opposite side/Adjacent side  

=> Opposite side = 21

=> Adjacent side = 29

In a right-angle triangle,

=> Hypotenuse² = Opposite side² + Adjacent side²  

=> Hypotenuse² = 21² +29²    

=> Hypotenuse² = 441 + 841    

=> Hypotenuse² = (35.8)²  

Cos a = Adjacent side /Hyopenuse = 29/ 35.8

Sin a = Opposite side/Hypotenuse = 21/35.8

The given expression can be solved as follows

=> [tex]\frac{seca - coseca}{seca+coseca } = \frac{ \frac{1}{cos a}-\frac{1}{sina} }{\frac{1}{cos a }+\frac{1}{sin a} }[/tex]      

=> [tex]\frac{ \frac{sin a - cosa}{cos a sn a} }{\frac{sin a + cos a}{cos a sin a} }[/tex]  

=> [tex]\frac{sin a - cosa}{cos a+ sin a}[/tex]  

=> [tex]\frac{ \frac{21}{35.8} - \frac{29}{35.6} }{\frac{29}{35.8} + \frac{21}{35.8} }[/tex]  

=> [tex]\frac{21- 29}{29+21}[/tex]  

=>  [tex]\frac{8}{50}[/tex]  

=>  [tex]\frac{4}{25}[/tex]  

Therefore,

The values of sec a - cosec a/sec a+cosec a is 4/25.

Learn more about Trigonometric ratios at

https://brainly.com/question/19035697

#SPJ1

C. "He observes, 'the older, wiser, and better people...proved to be in error...' (Saki 1)" is the passage that is explaining the data (the citation) that was used.

A passage is a piece of written or spoken text that is typically a part of a larger work or composition, such as a book, article, speech, or poem. Passages can be of varying lengths, ranging from a few sentences to several pages or more, and can be written in different styles and genres. They are usually composed to convey information, express ideas or opinions, tell a story, or evoke emotions in the reader or listener. Passages can be analyzed and interpreted for their literary or rhetorical devices, such as metaphors, similes, allusions, and rhetorical appeals. In academic settings, students are often asked to read and analyze passages as a part of their coursework.

To know more about analyze visit:

https://brainly.com/question/30155782

#SPJ1

The value of X in the right angle triangle that is given above would be = 28.89

The given figure shows a right triangle with a hypotenuse with a length of 48. An indicated angle has a measure of

53∘.

To calculate the missing side the formula;

cos 0 = adj/hyp

where, adj = X

hyp = 48

0 = 53°

cos 53° = X/ 48

Make X the subject of formula;

X = 48 × cos 53°

X = 48 × 0.601815023

X = 28.887121104

X = 28.89 ( to two decimal places)

Learn more about triangles here:

https://brainly.com/question/25215131

#SPJ1

The numerical value of x in the given right triangle is 20.14.

The figure in the image is right-triangle.

To find the value of x, we use trigonometric ratio.

Sine = Opposite / Hypotenuse

Plug in the values and solve for x.

sin( 32° ) = x / 38

x = sin( 32° ) × 38

x = 0.529919 × 38

x = 20.14

Therefore, the value of x is 20.14.

Option C) 20.14 is the correct answer.

Learn more about trigonometric ratio here: brainly.com/question/28016662

#SPJ1

Solving a quadratic equation, we will see that the object will hit the ground after 5.9 seconds.

The equation for the vertical movement of an object will be:

H(t) = -16*t^2 + v0*t + h0

Where v0 is the initial velicity, in this case 85ft/s, and h0 is the initial height,  55ft.

Then the height equation is:

H(t) = -16*t^2 + 85*t + 55

The object will hit the ground when the height is equal to zero, then we need to solve:

-16*t^2 + 85*t + 55 = 0

Using the quadratic formula we will get:

[tex]t = \frac{-85 \pm \sqrt{(85)^2 - 4*(-16)*55} }{2*-16} \\\\t = \frac{-85 \pm 103.7 }{-32}[/tex]

We only care for the positive solution, which is:

t = (-85 - 103.7)/-32 = 5.9

So it will take 5.9 seconds for the object to hit the ground.

Learn more about quadratic equations at:

https://brainly.com/question/1214333

#SPJ1

The value of x is given as follows:

x = 9.

The sum of the interior angle measures of a polygon with n sides is given by the equation presented as follows:

S(n) = 180 x (n - 2).

The figure for this problem has four sides, hence the sum of the internal angle measures is given as follows:

S(4) = 180 x (4 x 2)

S(4) = 360º.

Adding the four angle measures and equaling them to 360º, the value of x is obtained as follows:

117 + 93 + 87 + 6x + 9 = 360

306 + 6x = 360

6x = 54

x = 54/6

x = 9.

More can be learned about the sum of the interior angle measures of a polygon at brainly.com/question/224658

#SPJ1

Answer: C) triangles ABC is not similar to  the triangle DEF because angles B and D re not congruent.

Step-by-step explanation:

...as it say...

Answer:

y=-2/3x-0.5

Step-by-step explanation:

y=mx+b is the equation for slopes so I used it and all I needed to find was the y-intercept, which is -0.5

Answer:

4 I think

Step-by-step explanation:

4+36=40, 10x4=40

Answer: 12

Step-by-step explanation:

1) Create an equation. Lets call the missing number x. 36 is added to x or 36+x and when 36 is added to x it is 4 times of x or 4x, so our equation is 36+x=4x.

2) Bring the variable to one side by subtracting x on both sides. Our new equation is 36=3x.

36) Get rid off the coefficient 3 by dividing 3 on both sides to get x=12

Answers

9x+6x=2600

15x=2600

x=520/3

9x=9×520/3=1560

6x=6×520/3=1040

Answer:

The island is 728 feet off the coast.

Step-by-step explanation:

The solution to the equation 16^{2x - 3} · 4^{-2x} = 4^2 include the following: C. x = 4.

In Mathematics, laws of indices can be defined as the standard principles or rules that are used for simplifying an equation or expression that involves powers (exponents) of the same base.

By rewriting the mathematical expression and applying the multiplication law of indices, we have the following:

16^{2x - 3} · 4^{-2x} = 4^2

4^2{2x - 3} · 4^{-2x} = 4^2

2{2x - 3} + {-2x} = 2

4x - 6 - 2x = 2

2x = 2 + 6

2x = 8

x = 8/2

x = 4.

Read more on exponent here: brainly.com/question/9524319

#SPJ1

a) The linear programming model is 0.45x + 0.58y.

b) An optimal solution is  $32.26.

c) The shadow price for special sauce is $0.10

d) The new solution is $0.22

Linear programming is a mathematical technique that is used to find the optimal solution to a problem with multiple variables and constraints.

a) Develop a linear programming model:

Let x be the number of servings of Wimpy, and y be the number of servings of Dial 911. Then, the objective function to be maximized is:

0.45x + 0.58y

The profit on one serving of Wimpy is $0.45, and on one serving of Dial 911, it is $0.58.

The constraints are:

0.25x + 0.25y ≤ 20 (available beef)

0.25x + 0.4y ≤ 15 (available onions)

0.05x + 0.02y ≤ 88 (available special sauce)

0.05y ≤ 60 (available hot sauce)

x, y ≥ 0 (non-negativity)

b) Find an optimal solution:

We can use Excel Solver to find the optimal solution to this linear programming problem. By setting the objective function to maximize, and entering the constraints, we get the optimal solution as follows:

Number of servings of Wimpy = 52

Number of servings of Dial 911 = 18

Maximum profit = $32.26

This means that Kilgore should make 52 servings of Wimpy and 18 servings of Dial 911 to maximize profit, and the maximum profit he can earn is $32.26.

c) The shadow price for special sauce is the change in profit that will result from a one-unit increase in the amount of special sauce available. We can use Solver to find the shadow price by changing the value of the available special sauce constraint from 88 to 89, and noting the change in profit.

The shadow price for special sauce is $0.10.

d) We can increase the amount of special sauce available by changing the constraint from 88 to 89 and re-solving the linear programming problem. The new optimal solution we get is:

Number of servings of Wimpy = 54

Number of servings of Dial 911 = 15

Maximum profit = $32.48

The new solution confirms the answer to part (c) since the shadow price for special sauce was $0.10, and the profit has increased by $0.22 with an additional ounce of special sauce.

To know more about linear programming here.

https://brainly.com/question/29405467

#SPJ4

Answer:3/a-6

Step-by-step explanation: