For the function y= -2+5 sim {pi/12(x-2)}, what is the minimum value

Answers

Answer 1

The function has a local minima at  ( 20 , -7 )

What is a Function ?

Function is a mathematical statement formed when two algebraic expression are equated by an equal sign.

The expression given is

y = -2 +5sin ( (π/12) (x-2))

the minima of the given expression will be when

the sine term = -1

as the lowest value sin can have is -1

y = -2 +5 * (-1)

y = -7

The sin ( (π/12) (x-2)) = -1

(π/12) (x-2) = 3π /2

On solving this

x = 20

Therefore the function has a local minima at  ( 20 , -7 )

It can also be confirmed form the graph attached with the answer.

To know more about Function

https://brainly.com/question/12431044

#SPJ1

For The Function Y= -2+5 Sim {pi/12(x-2)}, What Is The Minimum Value

Related Questions

A 7 x 8 array is 7 rows of ____

Answers

Answer:

8

Step-by-step explanation:

It's 7 rows of 8 items

Which absolute value function, when graphed, will be wider than the graph of the parent function, f(x) = |x|?

f(x) = |x| + 3
f(x) = |x − 6|
f(x) = |x|
f(x) = 9|x|

Answers

The absolute value function that will be wider than the graph of the parent function, f(x) = |x| is (d) f(x) = 9|x|

How to determine the function?

The parent function is given as:

f(x) =|x|

A wider function would have the following equation

f(x) = k|x|

Where:

k > 0

From the list of options, we have:

f(x) = 9|x|

Hence, the absolute value function that will be wider than the graph of the parent function, f(x) = |x| is (d) f(x) = 9|x|

Read more about absolute value function at:

https://brainly.com/question/10538556

#SPJ1

Answer:

getting to the point , D.

Step-by-step explanation:

trust

Classify each of the following variables as quantitative or qualitative. For those which are quantitative, classify them further as continuous or discrete.
a) Weight of adult females
b) Street addresses in Addis Ababa
c) Years of professional experience of employees
d) Number of courses offered to students in AAU in this semester.​

Answers

Answer:

a) quantitative - continuous

b) qualitative

c) quantitative - discrete

d) quantitative - discrete

Explanation:

A qualitative variable describes an object or its property without counting or measuring. Therefore it does not include any numbers.

A quantitative variable is one which results from counting or measuring a property of an object or situation. If the variable arises from counting, it is called discrete, and if it arises from any measurement, it is called continuous.

(07.01) A bacteria culture begins with 4 bacteria which double in size every hour. How many bacteria exist in the culture after 8 hours?

Answers

Answer: By 8 hours, there will be 65536 bacteria in the culture.

Step-by-step explanation:

The numerical expression used for this problem is [tex]4^{8}[/tex].

You can find the value of this on a calculator. I hope this helps!! :)

If that is not the answer, then try 32 because 4*8=32.

if the ratio of three angles of a triangle is 2:3:4 find the size of the largest angle​

Answers

Answer: 80°

Step-by-Step Explanation:

By Angle Sum Property of a Triangle, all angles in a Triangle add up to 180°

Finding the Value of ‘x’ :-

2x + 3x + 4x = 180
5x + 4x = 180
9x = 180
x = 180/9
=> x = 20

Finding each Angle :-

2x = 2(20) = 2 * 20 = 40°
3x = 3(20) = 3 * 20 = 60°
4x = 4(20) = 4 * 20 = 80°

Hence, the Largest Angle is 80°

Find the solution for x in the equation below.
x² + 72x = 8

Answers

[tex]x^2+72x=8\\x^2+72x+1296=1304\\(x+36)^2=1304\\x+36=\sqrt{1304} \vee x+36=-\sqrt{1304} \\x=-36+2\sqrt{326} \vee x=-36-2\sqrt{326}[/tex]

pls help!!!


What is the range of the function on the graph?
all real numbers
all real numbers greater than or equal to 0
all real numbers greater than or equal to 1
all real numbers greater than or equal to 2

Answers

Answer:

All real numbers greater than or equal to 2.

Step-by-step explanation:

To find the range, we look at the y values. Since all the y values never dip under 2 and also keep increasing to infinity, the range is [tex]y\geq 2[/tex].

Answer:

all real numbers greater than or equal to 2

Step-by-step explanation:

Edge

From Kansas City to Denver is twice as far as from Kansas City to St. Louis the two distance together total 900 miles what are the two distance?

Answers

Answer:

KC to StL = 300

KC to Den = 600

Step-by-step explanation:

KC to StL was the base distance, so we'll call that x.

KC to Denver is twice as long, so we'll call that 2x.

If we add the together is is 900 miles total.

x + 2x = 900    Combine like terms

3x = 900          Divide by 3

x = 300

If x is 300, then 2x is 600.

Which best describes the range of the function #(x) = 2(3)x? O y>0 O y≥0 O y = 2 O y≥2

Answers

Answer:

The range of the function f(x) :  is y > 0.

The correct option is (A)

Step-by-step explanation:

The definition of range is the set of all possible values that the function will give when we give in the domain as input.

Given function is :

If we draw the graph for this, then we can see that the horizontal asymptote is 0.

So,  the range is real numbers higher than 0.

Hence, the range should be y > 0.

Pleas hurry!!!!! Which line is perpendicular to a line that has a slope of -5/6
line JK
line LM
line NO
line PQ

Answers

Answer:

LM

Step-by-step explanation:

Perpendicular slope would be   - 1 / m   =   - 1/(-5/6)   = 6/5

slope m = rise / run       line   LM   rises 6    for a run of 5      

Select the correct answer. Which number best represents the slope of the graphed line? A linear function on a coordinate plane passes through (minus 6, minus 7), and (4, minus 2) also intercepts the x-axis at 8 units and the y-axis at minus 4 units. A. B. C. D.

Answers

The number best represents the slope of the graphed line is 1/2.

We have given the two points,

(-6,-7) and (4,-2) and slope-intercept is 8 units

What is the slope-intercept form of a line?

[tex]y-y_{1}=m\left(x-x_{1}\right)[/tex]

y = y coordinate of the second point

[tex]y_1[/tex] = y coordinate of point one

m = slope

x = x coordinate of the second point

[tex]x_{1}[/tex]= x coordinate of point one

Therefore the

[tex]slope=\frac{y_2-y_1}{x_2-x_!}[/tex]

[tex]=\frac{-2-(-7)}{4-(-6)} \\=\frac{5}{10}\\ =\frac{1}{2}[/tex]

Therefore the correct option is 1/2.

To learn more about the slope visit:

https://brainly.com/question/3493733

#SPJ1

Which statement is true about the end behavior of the graphed function?

Answers

Step-by-step explanation:

both ends are going to the same direction so the degree is even. the right side is going up so the leading coefficient is positive.

evaluate 7/8+1/4÷6/7​

Answers

Step-by-step explanation:

[tex] = \frac{7}{8} + \frac{1}{4} \div \frac{6}{7} [/tex]

[tex] = \frac{7}{8} + \frac{1}{4} \times \frac{7}{6} [/tex]

[tex] = \frac{7}{8} + \frac{7}{24} [/tex]

[tex] = \frac{7 \times 3}{8 \times 3} + \frac{7}{24} [/tex]

[tex] = \frac{21}{24} + \frac{7}{24} [/tex]

[tex] = \frac{28}{24} [/tex]

[tex] = \frac{7}{6} [/tex]

7/8+(1/4÷6/7​)

1/4 ÷ 6/7 = 7/24

7/8 + 7/24 = 7/6 = 1 1/6

Z varies directly as x^3 and inversely as y^3. If z=167 when x = 3 and y=10, find z if X=4 and y=6

Answers

Answer is 1832.7

step by step

z=kx^3 / y^3

167=27k/1000

k=16700/27

k=6185.2, then

z=6185.2×4^3/6^3

z=6185.2×64/216

z=1832.7

solve for x: 5x-4y=24

Answers

Answer:

x=4y+24/5

Step-by-step explanation:

add 4y

Divide by 5

Which number produces a rational number when added to 1/2?

Answers

Answer:

Another rational number.

Step-by-step explanation:

For example, [tex]\pi[/tex] is incorrect because It is a irrational number

you must add another rational number to 1/2 to make the sum rational.

Rational number are numbers that can be converted into a fraction.

all natural numbers, whole numbers, integers, are rational.

and all rational and irrational numbers are real numbers

What complex number is represented by the polar coordinates (4, -pi/4)

Answers

Answer:

[tex]\displaystyle \large{z=2\sqrt{2} -2 \sqrt{2}i}[/tex]

Step-by-step explanation:

A complex number is defined as z = a + bi. Since the complex number also represents right triangle whenever forms a vector at (a,b). Hence, a = rcosθ and b = rsinθ where r is radius (sometimes is written as |z|).

Substitute a = rcosθ and b = rsinθ in which the equation be z = rcosθ + irsinθ.

Factor r-term and we finally have z = r(cosθ + isinθ). How fortunately, the polar coordinate is defined as (r, θ) coordinate and therefore we can say that r = 4 and θ = -π/4. Substitute the values in the equation.

[tex]\displaystyle \large{z=4[\cos (-\frac{\pi}{4}) + i\sin (-\frac{\pi}{4})]}[/tex]

Evaluate the values. Keep in mind that both cos(-π/4) is cos(-45°) which is √2/2 and sin(-π/4) is sin(-45°) which is -√2/2 as accorded to unit circle.

[tex]\displaystyle \large{z=4\left(\frac{\sqrt{2}}{2} - \frac{\sqrt{2}}{2}i \right)}\\\\\displaystyle \large{z=2\sqrt{2} -2 \sqrt{2}i}[/tex]

Hence, the complex number that has polar coordinate of (4,-45°) is [tex]\displaystyle \large{z=2\sqrt{2} -2 \sqrt{2}i}[/tex]

Which is the graph of f,(x) = 0.5(4)*

Answers

I assume you meant [tex]f(x)=0.5(4)^{x}[/tex]. The graph is shown below.

Complete the statements below with the process used to achieve steps 1-4.


Select the correct answer from each drop-down menu.

Consider the equation below.


-2(5x+8)=14+6x


The equation was solved using the following steps.

Answers

The statements can be completed by using the following :

1) -2 is multiplied with (5x+8)

2)  transposing of numeral values and variable values

3) The numerical values are taken one side and added to each other

4) 30 is divided by -16

5) The numerator and denominator are cancelled to the lowest possible value

x= -15/8

Given:  -2(5x+8)=14+6x  

and steps for solving them have also been given

In the first step, -2 is multiplied with (5x+8) and we get

-10x -16 = 14 +6x

In step 2, transposing of numeral values and variable values is done and we get -16x - 16 = 14

In step 3,

The numerical values are taken one side and added to each other and we get -16x=30

In step 4, 30 is divided by -16

In step 5, they are cancelled to the lowest possible value and we get

x= -15/8

To learn more about linear equations, visit https://brainly.com/question/13863240

#SPJ10

ABC is an isosceles triangle, with AB = AC. find X​

Answers

Answer:

67.13°

Step-by-step explanation:

First separate triangles then you use Pythagoras theorem to get the third side and then apply the sine rule

Find x and Y pls help

Answers

Answer:

Step-by-step explanation:

Comment

The angle supplementary to x and 3x are equal.

Supplementary angles = 180

Solution

x + 3x = 180

4x = 180                  Divide by 4

4x/4 = 180/4

x = 45

The angle supplementary to x is 3x

3x = 3*45

3x = 135

This angle is vertically opposite y. Vertically opposite angles are equal. So  y = 135

Answer

x = 45

y = 135

Find the value of JN in the figure. ​

Answers

Answer:

JN = 32

Step-by-step explanation:

Δ JMN and Δ JKL are similar ( AA postulate )

then the ratios of corresponding sides are in proportion, that is

[tex]\frac{JM}{JK}[/tex] = [tex]\frac{JN}{JL}[/tex] ( substitute values )

[tex]\frac{24}{33}[/tex] = [tex]\frac{JN}{JN+12}[/tex]

[tex]\frac{8}{11}[/tex] = [tex]\frac{JN}{JN+12}[/tex] ( cross- multiply )

11 JN  = 8(JN + 12)

11 JN = 8 JN + 96 ( subtract 8 JN from both sides )

3 JN = 96 ( divide both sides by 3 )

JN = 32

which terms could have the greatest common factor of 5m2n2? select two:
m5n5
5m4n3
10m4n
15m2n2
24m3n4

Answers

Answer:

5m4n3 and 15m2n2

Step-by-step explanation:

you just have to find the 2 that each are divisible by 5m2n2, which are 5m4n3 and 15m2n2.

(a) Solve the following formula for b.
1
A = ab
(b) Evaluate b when A= 18 and a =
6/5
1
(a) The formula A = ab solved for b is b = 3X
6
(b) Evaluate b when A= 18 and a = 5
b = (Type an integer or a simplified fraction.)

Answers

Answer:

a. b = 2A/a

b. 30

Step-by-step explanation:

a. to solve for b:

[tex]A = 1/2 ab[/tex]

multiply both sides by 2

[tex]2A = ab[/tex]

divide both sides by a

[tex]2A/a=b[/tex]

so b = 2A/a

b. using the equation b = 2A/a

[tex]b = 2*18/(6/5)\\= 36/(6/5)\\= 30[/tex]

Answer:

a) b = 2A/a
b) b = 30

Step-by-Step Solution:

a) Solve the following …

A = 1/2ab
A = a/2b
A * 2 = ab
2A = ab
2A/a = b
=> b = 2A/a

b) Evaluate b when A = 18 and …

=> b = 2A/a
=> A = 18
=> a = 6/5

Substitute the Values in the Equation :-

b = 2A/a
b = 2(18)/(6/5)
b = 36 ÷ 6/5
b = 36 * 5/6
b = 180/6
=> b = 30

Hence, b = 30 when A = 18 and a = 6/5

use the point-slope formula to write an equation of the line that passes through (6,- 3) and (3,1).
Write the answer in slope-intercept form (if possible).

Answers

The slope of the line is

[tex]\frac{-3-1}{6-3}=\frac{-4}{3}[/tex]

Substituting into point-slope form using the point (3,1),

[tex]\boxed{y-1=-\frac{4}{3}(x-3)}\\\\y-1=-\frac{4}{3}x+4\\\\\boxed{y=-\frac{4}{3}x+5}[/tex]

Answer: The equation of the line that passes through (6,- 3) and (3,1) is  y = [tex]\frac{-4x}{3}[/tex] +5.

Step-by-step explanation:

Point-slope formula : (y - y1) = m(x - x1)

y = y coordinate of second point

y1     = y coordinate of first point

m = slope

x = x coordinate of second point

x1     = x coordinate of first point

slope (m) = [tex]\frac{1-(-3)}{3-6}[/tex]

          m = [tex]\frac{4}{-3}[/tex] or [tex]\frac{-4}{3}[/tex]

now put values in point-slope formula  : (y - 1) = [tex]\frac{-4}{3}[/tex](x - 3)

y - 1 = [tex]\frac{-4x}{3\\}[/tex] + 4

y = [tex]\frac{-4x}{3}[/tex] +5

So the equation of the line that passes through (6,- 3) and (3,1) is y = [tex]\frac{-4x}{3}[/tex]+5.

Learn more about point-slope here-https://brainly.com/question/6239919

#SPJ10

   

What is 1+1? 10 point if u get it right.

Answers

Answer:

11

Step-by-step explanation:

duh add 1 and 1 merge it together to get 11

that's a hard question imma go with 2 though

Step-by-step explanation:

for this problem let's let x=1 and y also =1 so x+y=2 hope this helps

Compute the length of sides AB, AC.

Answers

AB=24 AC=24. The triangle is SSS Which means all sides are congruent so just setting AB = AC then finding x. Then plugging it in u get your answer

Many doctors rely on the use of intravenous medication administration in order to achieve an immediate response of a particular drug's effects. The concentration, C, in mg/L, of a particular medication after being injected into a patient can be given by the function G(t) = (- 8t ^ 2 + 56t)/(t ^ 2 + 3t + 2) where the time, t, is hours after injection. Part A: What is the domain of the function C(t) based on the context of the problem? Show all necessary calculations. Part B: Graph the function to determine the greatest concentration of the medication that a patient will have in their body.

Answers

Graphs are used to show the relationship between variables, where the variables are represented by a pair of axes.

The domain of the function is t ≥ 0

The greatest concentration of the medication is 5mg/L

Given that:

C(t) = [tex]\frac{-8t^2 + 56t}{t^2 +3t + 2}[/tex]

(a): The domain of the function

Because the medication concentration C(t) is a function of time (t), the domain is the possible values t can take.

t, cannot take negative values (i.e. it is not possible to have a negative time).

The least possible value of t is 0

So, the domain of the function based on the context is: t ≥ 0

(b) The greatest concentration of the medication

From the graph (see attachment), the maximum y-value is 5.

Hence, the greatest concentration of the medication is 5 mg/L

Learn more about functions and graphs here:

https://brainly.com/question/18806107

#SPJ10

Evaluate: y(x+x)+3, where x=1 and y=3 A. 3 B. 10 C. 9 D. 5

Answers

Answer:

C. 9

Step-by-step explanation:

y(x+x) +3

{x= 1 , y= 3}

Putting values..

3 (1+1) +3

= 3 (2) +3

= 6 + 3

= 9

So, the option C. 9 is the correct answer.

Select the graph for the solution of the open sentence. Click until the correct graph appears.

3|x| > 6

I would really appreciate the help!:)

Answers

The solution of the inequality will be x > 2 and x < -2. And the graph is drawn below.

What is inequality?

Inequality is defined as an equation that does not contain an equal sign.

The inequality is given below.

3|x| > 6

By solving the equation, we have

|x| > 2

x > 2

x < -2

Then the graph will be drawn.

More about the inequality link is given below.

https://brainly.com/question/19491153

#SPJ1

Other Questions
Read the passage from chapter 8 of The Prince.Agathocles, the Sicilian, became King of Syracuse not only from a private but from a low and abject position. This man, the son of a potter, through all the changes in his fortunes always led an infamous life. Nevertheless, he accompanied his infamies with so much ability of mind and body that, having devoted himself to the military profession, he rose through its ranks to be Praetor of Syracuse. Being established in that position, and having deliberately resolved to make himself prince and to seize by violence, without obligation to others, that which had been conceded to him by assent, he came to an understanding for this purpose with Amilcar, the Carthaginian, who, with his army, was fighting in Sicily. One morning he assembled the people and the senate of Syracuse, as if he had to discuss with them things relating to the Republic, and at a given signal the soldiers killed all the senators and the richest of the people; these dead, he seized and held the princedom of that city without any civil commotion. . . .How does Machiavelli support his claim that rulers can be cruel if it benefits their subjects and is necessary for security?Machiavelli uses anecdotal evidence through historical examples to support his claim.Machiavelli uses empirical evidence about politics and society to support his claim.Machiavelli uses logical evidence through historical examples to support his claim.Machiavelli uses empirical and logical evidence to support his claim. Grouping of objects help the shopkeeper, justify the statement. Which statement describes the end behavior of the function f(x)= |x-7| -7?A. As x approaches negative infinity, f(x) approaches negative infinity.B. As x approaches negative infinity, f(x) approaches positive infinity.C. As x approaches positive infinity, f(x) is no longer continuous.D. As x approaches positive infinity, f(x) approaches negative infinity. Simplify 4^3/4^8 so that it is not in fraction form. Find the value of cos N rounded to the nearest hundredth, if necessary. There are a variety of treatments available for people struggling with drug abuse. one type of treatment includes withdrawing gradually but completely from drug use. which treatment best describes this process? Repair of coronary vessel is called: A certain joint in the body has an articular capsule. this joint must be a/an: What types of animals are prosimians? Repost 8th grade 50 POINTS+BRAINLIEST: How do you graph a quadratic equation in vertex form when the equation is a perfect square? Use x -4x+4 as an example Sum of 1/2*3 +1/3*4 +1/4*5 ..1/99*100 The measurement of the geographic distribution of species on the planet is referred to as Triangle ABC is a right triangle with CD | AB. Angle C is a right angle.(BC)+(AC) = (AB)(BD + AD). Usinggives Blank space for answering Question.(BC)+(AC)=(AB) (AB), which simplifies to (BC)2 + (AC)2 = (AB)2Possible answersCPCTCSide-Angle-Side Similarity PostulatecongruentSide-Side-Side Similarity Postulatesegment addition postulateproportional Read this summary of the court case US vs. Alvarez. Note: Stolen Valor means the phenomenon of people falsely claiming military awards or badges they did not earn, service they did not perform, Prisoner of War experiences that never happened, but gaining the positive consequences of having done so. In your own words, describe how the separation of powers allowed for a revised version of the Stolen Valor Act. What checks and balances did the branches use to reach their goal of a revised Stolen Valor Act? ANSWER QUICKLY HURRY!!! Triangle ABC has vertices at A(1,2), B(4,0) and C(1,-4) Find the area of triangle ABC.PLEASE EXPLAIN HOW YOU DID IT I need help with this question An unknown number b is 10 more than an unknown number k. The number b is also k less than 8. The equations to find k and b are shown below.b=k+10b=-k+8Which is a correct step to find k and b?O Write the points where the graphs of the equations intersect the x-axis.O Write the points where the graphs of the equations intersect the y-axis.O Add the equations to eliminate k.O Multiply the equations to eliminate b. How can you explain/describe the inheritance the trait of armor? How might this challenge our understanding of dominance? Use the Polygon tool to draw an image of the given polygon under a dilation with a scale factor of 14 and center of dilation (0, 0).