Find the maximum and minimum values of the function.
Y=-cos8x

Find The Maximum And Minimum Values Of The Function.Y=-cos8x

Answers

Answer 1

Answer:

A

Step-by-step explanation:

Given a sinusoidal function (sine function or cos function) in the form

y = A Cos (Bx), we can say that A is the amplitude.

Amplitude defines the function's maximum and minimum.

The maximum of this form of function is A and the minimum is -A.

The function given is y = -Cos(8x), so A is -1

Thus, maximum value is 1 and minimum value is -1.

Correct answer is A


Related Questions

What is the area of a regular dodecagon (12 sides) with side length of 9 cm and apothem of 16.8 cm?

Answers

For this case we have that the area of a regular polygon is given by:

[tex]A = \frac {P * a} {2}[/tex]

Where:

P: It is the perimeter

a: It is the apothem

Since we have a dodecagon, then the perimeter is:

[tex]P = 9 * 12\\P = 108 \ cm ^ 2[/tex]

Then, the area is:

[tex]A = \frac {108 * 16.8} {2}\\A = 907.2 \ cm ^ 2[/tex]

ANswer:

Option B

please help me solve this!! WILL GIVE BRAINLIEST! explain how you did it so i can do the others by myself




Find the volume of the prism.


Volume of prism = _____

Answers

Answer:

If this helps, the equation to solve for the volume of a prism is V=Bh.

Step-by-step explanation:

B is the base and h is the height. You have to multiply them to find the volume. Hope this helps.

Volume of the prism = area of the triangle x the thickens the triangles make;

V= {[(9/4)x (10/3)]/2} x (22/3)= (90/12) x(1/2) x(22/3)= 90x22/12x2x3=

30x11/12=330/12= 27 1/2

Which statement is true regarding the functions on the graph

Answers

Answer:

A should be the answer

Step-by-step explanation:

Answer:

Step-by-step explanation:f(2) = g(2)

A bike ramp is 8 feet long and has an end height of 3 feet, as shown below. What is the measure of angle ?

Answers

Check the picture below.

make sure your calculator is in Degree mode.

A figure which is formed by two rays or lines that shares a common endpoint is called an angle.

The measurement of the angle is 22.02 degrees.

Given

A bike ramp is 8 feet long and has an end height of 3 feet.

What is the angle?

A figure which is formed by two rays or lines that shares a common endpoint is called an angle.

The measure of the angle is determined by the following formula;

[tex]\rm Sin\theta = \dfrac{opposite \ side}{Hypotenuse}[/tex]

Where the opposite side is 3 and the hypotenuse is 8.

Substitute all the values in the formula;

[tex]\rm Sin\theta = \dfrac{opposite \ side}{Hypotenuse}\\\\\rm Sin\theta = \dfrac{3}{8}\\\\\theta = sin{-1} \left ( \dfrac{3}{8} \right )\\\\\theta = 22.02 \ degrees[/tex]

Hence, the measurement of the angle is 22.02 degrees.

To know more about Angle click the link given below.

https://brainly.com/question/18762692

If you apply the changes below to the linear parent function, f(x) = x, what is the equation fo the new function?

- Vertically stretch by a factor of 3.
- Flip over the x axis.

A. g(x)=3/x
B. g(x) = 3x-1
C. g(x) = -1/3x
D. g(x) = -3x

Answers

Answer:

D

Step-by-step explanation:

For a function in the form f(x) = x, we can say:

the function f(x) = ax is a vertical stretch if a>1 and compress if 0<a<1the function -f(x) is the original, flipped over x-axis

keeping the 2 rules in mind, we can say that

vertical stretch by a factor of 3 would make it f(x) = 3x

Then

flip over x-axis would make it f(x) = -3x

answer choice D is right

Answer:

D. g(x) = -3x

Step-by-step explanation:

If point P is at the center of the circle, and the length of AB equals 12 inches, which is the length of AP?




A.

4.5 inches

B.

6 inches

C.

9 inches

D.

12 inches

Answers

Answer:

B. 6 inches

Step-by-step explanation:

We know that the lenght of AB is 12 inches. Given that any two point that passes through the center P equals to the diameter, we know that AP is going to be half of diameter.

So, if AB = 12, then P = AB/2 = 6 inches.

Lydia brought 3 liters of lemonade to a picnic . She poured 160 milliliters of lemonade for each of her two friends and 215 milliliters for another friend .How much lemonade does Lydia have left show work

Answers

Answer:

1440

Step-by-step explanation:

If $600 is deposited into a savings account which pays 4.8% interest, compound continuously (A = Pe^rt), how long will it take the money to triple. Round to the nearest tenth of a year.

Answers

It will take approximately 14.2 years for the money to triple in the savings account.

Step 1: Set up the formula and define variables

We know the initial amount (P) is $600, and we want the final amount (A) to be triple the initial amount, which is 3 * $600 = $1800. The interest rate (r) is 4.8% (converted to decimal: 0.048) and we want to find the time (t) in years.

We'll use the compound interest formula continuously compounded: A = Pe^rt.

Step 2: Solve for time (t)

We can rewrite the formula to solve for t: t = ln(A/P) / r

Plug in the known values:

t = ln($1800 / $600) / 0.048

Step 3: Solve and round

Calculate the result using a calculator and round to the nearest tenth of a year.

t ≈ 14.2 years

a fish tank is in the shape of a rectangular prism with dimensions 30 in by 12in by 15. The tan is 90% filled with water. You mistakenly place a rock, roughly the shape of a shape with 10in radius, in the tank. How much water will spill out of the tank? Round your answer to the nearest cubic inch.

Answers

Answer:

723.36

Step-by-step explanation:

I calculated it to be roughly 723.36 hope this helps

Please answer I’ll rate brainlyest

Answers

Answer:

54.1%

Step-by-step explanation:

From the table, the total number of patients with type-B blood is given as 183. On the other hand, the number of males with type-B blood is given as 99. The percentage of patients with type-B blood who are males can be calculated as;

(the number of males with type-B blood/the total number of patients with type-B blood) * 100%;

( 99/183) * 100 = 54.1%

Therefore, the percentage of patients with type-B blood who are males is 54.1

Which line of music shows a relfection
choices are below

Answers

The second one because if you put a mirror image there it would the should look the same

In the second option if you put a mirror image there it would look the same. So, the second one is the correct answer.

What is reflection?

A reflection is a phenomenon of change in a direction of the wavefront between two different mediums.

Here, we can see that the first option doesn't show reflection because the music lines are displaced.

In the second option if you put a mirror image there it would look the same.

In the third option, again it doesn't show reflection because the music lines are not the same.

Thus, the second option is the correct answer.

Learn more about reflection here;

https://brainly.com/question/183501

Mike buys four equally priceDVD's online each DVD cost the same amount with a 5.98 shipping charge included the total cost came to 79.94 write a word equation you could use to find the cost of each DVD

Answers

Answer:

$79.94=4x+$5.98 or you could write it the other way 4x+$5.98=$79.94 either way you get same answer

Step-by-step explanation:

How do you find the least common multiple of two numbers?

Answers

Answer:

Step-by-step explanation:

Let's say we wanted to find the LCM of 6 and 8.

First, write the prime factorization of both:

6 = 2×3

8 = 2³

Let's include all the exponents:

6 = 2¹×3¹

8 = 2³×3⁰

The LCM needs to have the prime factors with the highest exponents.  

So we need prime factors of 2 and 3.  The exponent of the 2 will be three, and the exponent of the 3 will be one.

LCM = 2³×3¹

LCM = 24

Tara sent party invitations to98 people. Eighty-two percent of the people said they will come to the party. About how many people said they will come to the party? Explain.

Answers

Answer:

Around 80 of the people will go to the party.

Step-by-step explanation:

If you divide 98 by 100, you find out that 1% of 98 is .98. So after that you multiply that by 82, and the answer is 82% of 98.

Answer:

roughly about 82

Step-by-step explanation:

Molly records the interest earned in her savings account in the last 5 months. What are the mean, median, and mode of the data set?

Month 1
Month 2
Month 3
Month 4
Month 5
0.24
0.42
0.37
0.38
0.24
a.
mean: 0.37, median: 0.33, mode: 0.24
b.
mean: 0.24, median: 0.37, mode: 0.33
c.
mean: 0.33, median: 0.37, mode: 0.24
d.
mean: 0.33, median: 0.37, mode: 0.42


Please select the best answer from the choices provided

A
B
C
D

Answers

Answer with Step-by-step explanation:

We are given a data set:

0.24  0.42  0.37  0.38  0.24

We arrange them in ascending order:

0.24 0.24 0.37 0.38 0.42

Mean=sum of all data elements/number of elements

Mean =(0.24+0.24+0.37+0.38+0.42)/5

Mean=0.33

Mode is the element with the highest frequency i.e. element which comes most.

Hence, Mode=0.24

Median is the middle element of the data set.

Median=0.37

Hence, correct option is:

c.

mean: 0.33, median: 0.37, mode: 0.24

Hence, best answer from the choices provided is:

C

Answer:

c

Step-by-step explanation:

Monica earns $140 per week plus $15 for every painting she sells at the gallery. She wants to earns at least $200 this week..How many paintings ,p,does she needs to sell to reach her goal . Write and solve an inequality to represent the situation

Answers

Answer:

The minimum number of paintings Monica needs to sell is 4 to reach her goal.

Step-by-step explanation:

Let

p-----> the number of paintings that Monica needs to sell

we know that

[tex]140+15p\geq 200[/tex]

Solve for p

Subtract 140 both sides

[tex]15p\geq 200-140[/tex]

[tex]15p\geq 60[/tex]

Divide by 15 both sides

[tex]p\geq 60/15[/tex]

[tex]p\geq 4\ painting[/tex]

The minimum number of paintings Monica needs to sell is 4 to reach her goal.

For which pair of functions is the vertex of k(x)7 units below the vertex of f(x)?

Answers

Answer: Option C

[tex]f(x) = x^2;\ k (x) = x ^ 2 -7[/tex]

Step-by-step explanation:

Whenever we have a main function f(x) and we want to transform the graph of f(x) by moving it vertically then we apply the transformation:

[tex]k (x) = f (x) + b[/tex]

If [tex]b> 0[/tex] then the graph of k(x) will be the graph of f(x) displaced vertically b units down.

If [tex]b> 0[/tex] then the graph of k(x) will be the graph of f(x) displaced vertically b units upwards.

In this case we have

[tex]f (x) = x ^ 2[/tex]

We know that this function has its vertex in point (0,0).

Then, to move its vertex 7 units down we apply the transformation:

[tex]k (x) = f (x) - 7\\\\k (x) = x ^ 2 -7[/tex].

Then the function k(x) that will have its vertex 7 units below f(x) is

[tex]k (x) = x ^ 2 -7[/tex]

Two similar trapezoids have areas of 384 cm² and 24 cm². What is their ratio of similarity?

1:2

1:4

2:1

4:1

Answers

Answer:

1 : 4

Step-by-step explanation:

Given 2 similar figures, then

linear ratio = a : b and

area ratio = a² : b²

here the area ratio = 24 : 384 = 1 : 16, hence

linear ratio = [tex]\sqrt{1}[/tex] : [tex]\sqrt{16}[/tex] = 1 : 4

Chris was putting railing on his deck. At the end of the day, he had 11.5 feet of railing left over. During the day he had used two 1.5 foot long piece of railing, one 3.25 foot long pice of railing, and one 6 foot long piece of railing. How many feet of railing did chris have at the beging of the day? How would i solve this

Answers

Answer:The answer is B.

Start with 11.5. Multiply 1.5 by 2. Add this product to 11.5. Then add 3.25 and 6 to the answer.

hope this hepls!!!

A salsa recipe uses green pepper, onion, and tomato in a ratio of 2 : 5 : 8. How many cups of onion are needed to make 60 cups of salsa? (Show work)

Answers

Answer:

20 cups of onion

Step-by-step explanation:

If your ratio of pepper:onion:tomato is 2:5:8, add up those numbers to get 15.  Onion exists in this ratio as 5cups onion/15cups salsa.  We need to know how much onion in 60cups.  Set up the proportion like this:

[tex]\frac{5}{15}=\frac{x}{60}[/tex]

Cross multiply to get 15x = 300 and x = 20.  If you do the same with the other ingredients, you'll add them together in the end to get a total of 60 cups.

Classify each conic section and write its equations in standard form. Show work.

[tex]y^2+x+10y+26=0[/tex]

Answers

Answer:

The conic is parabola, its equation is (y + 5)² = -(x + 1)

Step-by-step explanation:

- The general equation for any conic section is  

Ax² + Bxy + Cy² + Dx + Ey + F = 0  

where A , B , C , D , E and F are constants. A, B, and C are not all zero

- When we change the values of some of the constants, the shape  

of the corresponding conic will also change.  

- It is important to know the differences in the equations to  

identify the type of conic that is represented by a given equation.  

# If B² − 4AC is less than zero, if a conic exists, it will be either a  

circle or an ellipse  

# If B² − 4AC equals zero, if a conic exists, it will be a parabola  

# If B² − 4AC is greater than zero, if a conic exists, it will be a  

hyperbola  

* How to identify the type of the conic

- Rewrite the equation in the general form,  

Ax² + Bxy + Cy² + Dx + Ey + F = 0  

- Identify the values of A and C from the general form.  

- If A and C are nonzero, have the same sign, and are not equal

to each other, then the graph is an ellipse.

- If A and C are equal and nonzero and have the same sign, then

the graph is a circle  

- If A and C are nonzero and have opposite signs, and are not equal

then the graph is a hyperbola.

- If either A or C is zero, then the graph is a parabola

* Now lets solve the problem

- The equation is y² + x + 10y + 26 = 0

 A = 0 , B = 0 , C = 1 , D = 1 , E = 10 and F = 26

∵ A = 0

∴ The equation is a parabola its standard form is:

  (y - k)² = 4 p (x - h), where (h , k) is the vertex point of the parabola,

   with a horizontal axis y = k

- Lets change the standard form to the general form

∵ (y - k)² = 4 p (x - h) ⇒ open the brackets

∴ y² - 2ky + k² = 4px - 4ph

- Put all of them in one side

∴ y² - 4px - 2ky + k² + 4ph = 0

- Compare it with the equation

  y² - 4px - 2ky + k² + 4ph = 0 ⇒ y² + x + 10y + 26 = 0

∵ -4px = 1x ⇒ cancel x

∴ -4p = 1 ⇒ divide both sides by -4

∴ p = -1/4

∵ -2ky = 10y ⇒ cancel y

∴ -2k = 10 ⇒ divide both sides by -2

∴ k = -5

∵ k² + 4ph = 26 ⇒ (-5)² + 4(-1/4)h = 26 ⇒ simplify

∴ 25 - h = 26 ⇒ subtract 25 from both sides

∴ h = -1

- Now we can write the standard form of the equation

∴ (y - -5)² = 4(-1/4)(x - -1)

∴ (y + 5)² = -(x + 1)

Admission for a state fair is $10, and each ride ticket is $2.50.Write an expression to represent the situation.

Answers

Answer:

10 + 2.50x

Step-by-step explanation:

What helps is solving word problems without any numbers.

If we wanted the cost of the total we would have:

Admission Cost + Ride Ticket Cost = Total Cost

We use "x" to represent how many ride tickets there is.

Describe how the range of a data set can help describe its variability.

Answers

Answer:

The range is defined as the difference between the term with the highest value and the term with the lowest value. This statistic is used to measure the variability of a series of data because it provides information on how far apart the values of a tail of the distribution are from the values at the other end of the tail.

Imagine that you manufacture a type of spare part for cars that must have a measurement of 10 cm with a margin of error of 1 cm.

This is:

10 ± 1 cm

Then you expect your manufacturing process to produce pieces with identical dimensions, that is, with little variability.

If you randomly select a sample of n pieces and measure them, the variability is expected to be low, so that your process is of quality, then expect a low range preferably less than 1 cm.

{10, 10.1, 10.5, 9.8, 9,6, 10.2} Range= 10.5 - 9.6 = 0.9 cm low variability

But if you find that the range is up to 8 cm, this would mean that not all pieces measure around 10 cm, it means that the variability of the measurements is high.

{14, 12, 11, 8, 7, 11, 12, 15} Range = 15 - 7 = 8 cm   high variability

The range can help describe a data set by evaluating the whole of a data set, showing spread within a data set, and comparing the spread between similar data sets. Simply put, it is the amount of variation from the lowest number to the highest and indicates the size of the statistical dispersion.

100% on Edge, used Google to come up with the answer.

Thomas Ray’s parents begin saving to buy their son a car for his 16th birthday. They save $800 the first year and each year they save 5% more than the previous year. How much money will they have saved for his 16th birthday? (I’m in the arithmetic and geometric series + sigma notation part of my lessons)

Answers

Answer:

  $18,925.99

Step-by-step explanation:

The sum of n=16 terms of the geometric series with first term a1=800 and common ratio r=1.05 will be ...

  Sn = a1·(r^n -1)/(r -1)

  S16 = $800·(1.05^16 -1)/(1.05 -1) ≈ $18,925.99

Answer: they have saved $18925.99 for his 16th birthday.

Step-by-step explanation:

We know that they save $800 per year, and in each year after the first, they add a 5% extra (0.05 in decimal form).

then, the first year the amount is $800.

the second year, they add $800 + 0.05*$800 = $800*1.05

the third year, they add: $800*1.05 + 0.05*$800*1.05 = $800*(1.05)^2

Now is easy to see that the relation is:

C(n)= $800*(1.05)^(n)

where n goes from 0 to 15, and represents the 16 years in which the parents are saving money.

now, we know that for a geometric series we have:

∑a*r^n = a*( 1 + r^N)/(1 + r)

where the sumation goes from 0 to N -1.

in our case, N - 1 = 15, so N = 16. a = $800 and r = 1.05

then the total of money is;

T = $800*(1 - 1.05^16)/( 1 - 1.05) = $18925.99

Given a regular hexagon, what are the measures of the angles formed by (a) two consecutive radii and (b) a radius and a side of the polygon?

Answers

Answer:

a)  60°

b)  60°

Step-by-step explanation:

A regular hexagon can be broken down into 6 equilateral triangles.

*** Note: Attached picture shown.

a)

The angle between two consecutive radii would be taken as EO and OD.

Since all of these 6 angles (of 6 triangles) create a circle, the sum is 360. So each angle (between two radii) would be 360/6 = 60°

b)

To find angle between side and radius of a polygon, let's take the radii as EO and side as ED.

Since we already found the angle between 2 radii to be 60, we have two angle left of a triangle (same size, let's call it x). We know sum of 3 angles in a triangle is 180, thus we can write:

60 + x + x = 180

60 + 2x = 180

2x = 180 - 60

2x = 120

x = 120/2

x = 60°

someone help me PRETTY PLEASE :(((!!!!!!!!!!

Answers

It is B. and i would answer it!!!!!!

HOPE THIS HELP!!!!!! :)

Which expression is equivalent to 8 - (6r+2) ?

-6r + 6
2r + 2
6r + 10
-6r + 10

Answers

Answer:

-6r+6

Step-by-step explanation:

8-(6r+2)

8-6r-2

-6r+6

Answer:

-6r +6.

Step-by-step explanation:

Given : 8 - (6r+2) .

To find : Which expression is equivalent .

Solution : We have given 8 - (6r+2) .

Remove the parenthesis

8 - 6r -2.

Combine like terms

-6r +8 -2.

-6r +6.

Therefore, -6r +6.

How can we determine the difference between a pyramid and a prism? See attached

Answers

Answer:

So 2 and 4

Step-by-step explanation:

The difference between a pyramid and prism is that a prism has two bases. A pyramid only has one base. The sides of the pyramid will always be triangular in shape.

The prism has two parallel bases and the pyramid has only one base. Then the correct option is B.

What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

A prism is a closed solid that has two parallel bases connected by a rectangle surface.

The difference between the prism and pyramid will be

The prism has two parallel bases and the pyramid has only one base.

More about the geometry link is given below.

https://brainly.com/question/7558603

#SPJ2

Which expression is equivalent to 2(a + 2b) - a - 2b?

3a + 2b
3a - 2b
a - 2b
a + 2b

Answers

The correct answer is D) a+2b.

Hope it helps!

Answer:

a + 2b

Step-by-step explanation:

To find the equivalent of the given expression, we must open up the parenthesis by multiplying each element in the parenthesis by 2, we would then collect like terms and simplify the algebraic expression.

2(a + 2b) - a - 2b

= 2a + 4b - a - 2b

= 2a - a + 4b  - 2b

= a + 2b

If a circle has the dimensions? given, determine its circumference. a. 21 ft diameter b. Fraction 7 Over pi ft radius

Answers

Answer:

14 or about 43.98 feet

Step-by-step explanation:

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