Given the cosine equation y = 2cos(4x) - 1, What is the midline?

Answers

Answer 1

Answer:

[tex]y = 2 \cos(4x) - 1 \\ when \: y = 0 \\ \cos(4x) = \frac{1}{2} \\ 4x = 60 \\ x = 15 \\ when \: x = 0 \\ y = 2 - 1 = 1 \\ intercepts = > (15, \: 0) \: and \: (0, \: 1) \\ midpoints : ( \frac{15 + 0}{2} , \: \frac{0 + 1}{2} ) \\ = (7.5, \: 0.5) \\ gradient = \frac{1 - 0}{0 - 15} \\ = - \frac{1}{15} \\ y = mx + c \\ at \: (7.5, \: 0.5) \\ 0.5 = - \frac{1}{15} \times 7.5 + c \\ 0.5 = - 0.5 + c \\ c = 1 \\ \therefore \: y = - \frac{1}{15} x + 1 \\ = > 15y = - x + 15[/tex]


Related Questions

HELPP i'll give brainliest for the CORRECT answer

Answers

Answer:

a = 105 in²

Step-by-step explanation:

Front and back, triangles

a = 2 * (1/2)(5 * 6)

a = 30

Sides, squares

a = 3 * (5 * 5)

a = 75

Total

a = 30 + 75

a = 105 in²

A right circular cone has a radius of 6 inches and a slant length of 10 inches. A right cylinder has a radius of 8 inches and a height of 12 inches. How many cones full of water are needed to fill the cylinder

Answers

Answer:

6.4  cones full of water

Step-by-step explanation:

Given data

Radius of cone= 6inches

Slant height= 10 inches

Volume of cone= 1/3πr^2h

V= 1/3*3.142*6^2*10

V=  1/3*3.142*36*10

V=  1/3*1131.12

V= 377.04 cubic inches

Radius of right cylinder= 8 inches

Height= 12 inches

Volume of cylinder= πr^2h

Volume= 3.142*8^2*12

Volume= 3.142*64*12

Volume=2413.056 cubic inches

Hence the number of cone full of water needed to fill the cylinder is

=Volume of cylinder/volume of cone

=2413.056/377.04

=6.4  cones full of water

Jack is building a rectangular fence for his ferret. He has 20 feet of fencing and wants the short side of the fence to be 7 2 feet. How long will the other side of the fence be? Write the answer in decimal form. The long side will be feet.

Answers

Answer:

6.5 feet

Step-by-step explanation:

The guy above me is correct its 6.5 feet

Write True or False. You can use the measures of the angles formed by two lines and a transversal to determine whether the two lines are parallel.

Answers

Answer:

I think that the answer is true (explanation might not be 100% accurate)

Step-by-step explanation:

Given that for 2 lines to be parallel, they have to never intersect at any point, meaning they both have to be straight and "facing" the same way. If either line has a tilt/angle of any sort, then they are not parallel.

what is the length of side AC to the nearest tenth? (giving brainliest and thanks to all!)

Answers

Pythagorean Theorem.

21^2 - 15^2 = x^2

X^2 = 216

X=14.7

HELP I CANT FAIL AGAIN

Answers

Answer:

49

Step-by-step explanation:

If x = 9 when y = 36 and x is directly
proportional to y, what is x when y= 6?

Answers

Answer:

[tex]x = 1.5[/tex]

[tex]Explaination :\\\frac{36}{9} = 4\\\frac{6}{4} =1.5\\Answer = 1.5[/tex]

Answer:

x = 1.5

Step-by-step explanation:

[tex]\frac{9}{36} :\frac{x}{6}[/tex]

Cross multiply.

36 · x = 9 · 6

Simplify.

36x = 54

Divide each side by 36.

36x ÷ 36 = 54 ÷ 36

Simplify.

x = 1.5

If you add the digits in a number, how many numbers between 0 and 10,000 will have a sum of 10? (For example, 334 is one such number because 3 + 3 + 4 = 10)

Answers

Answer: I think 100,000

Step-by-step explanation:

From a stick 2y metres long, I cut a piece of length 4y centimetres. What fraction of the original stick remains?

None of these
49/50
-1/2y
-2y

Answers

Answer:

-1/2y

Step-by-step explanation:

2/4  =  1/2

Does anyone know this

Answers

Answer:

8 2/3

Step-by-step explanation:

26/3

CONVERT TO A MIXED FRACTION

8 2/3

Answer:

Step-by-step explanation:

3[tex]\frac{1}{4}[/tex] ÷[tex]\frac{3}{8}[/tex]

4*3+1/4 * 8/3

13/4*8/3

13*8/4*3

104/12

26/3

not :when u change division sign into multiplication then do the reciprocal .

Part A
This year, water usage has increased by 20% for both regular days and special events.
LAST YEAR'S WATER USAGE:
All regular days - 13,505 gallons
Per special event - 18.5 gallons
Total for the year - 13,616 gallons
Write an equation for the total water usage, U, at the park this year in terms of x, the number of special events the park has hosted.

Answers

Answer:

The total water usage at the park this year, in gallons, U = 16,206 + 22.2·x

Step-by-step explanation:

The given parameters are;

The increase in water usage for both regular days and special event for the current year = 20%

The water usage for last year regular days = 13,505 gallons

The water usage per special event = 18.5 gallons

The total water usage = 13,616 gallons

Therefore, we have;

The water usage for regular days on the current year = 13,505 gallons + (20/100)×13,505 gallons = 16,206 gallons

The water usage per special event for the current year, x = 18.5 gallons + (20/100) × 18.5 gallons = 22.2 gallons

The total water usage, U, at the park this year in terms of 'x', the number of special events the park hosted is given by the sum of the amount of water used on regular days and the product of 'x', and the amount of water used per special event this year as follows;

U = 16,206 gallons + x × 22.2 gallons

∴ The total water usage at the park this year, U = 16,206 + 22.2·x

Answer:

U=16,206+22.2 ^. x

Step-by-step explanation:

You spin the spinner, flip a coin, then spin the spinner again. Find the probability of spinning an odd number, flipping heads, then spinning another even number.

Answers

Answer:

spinng of an odd number -50%

fliping heads - 50%

spinin an even number- 50%

Step-by-step explanation:

at freddie's fruit stand peaches are on sale you can buy 10 peaches for 2.00 how much dose each peach cost​

Answers

Answer:

0.20

Step-by-step explanation:

a man has been driving a second hand car for the past four years. over these four years he managed to save 16% as a deposit of the price of the brand new car he wants to buy. the price of the new car is 750 000... calculate the amount he saved for the deposit​

Answers

Answer:

$120,000

Step-by-step explanation:

Provided that  

The price of the new car is $750,000

And, the saving percent is 16%

We need to calculate out the saving amount for the deposit

Therefore, the saving amount is

= $750,000 × 16%

= $120,000

Basically we multiply these two things to each other in order to get the saving amount

Which answer choice represents the difference of 20 and 3 times a number?
A. 3j + 20
B. 20(3j)
C. 20 – 3j
D. (20 · 3)j

Answers

Answer:

C

Step-by-step explanation:

The word “difference” tells us that this is a subtraction problem

the words “three times a number” tells us that the variable will be multiplied by three

therefore it is C, 20-3j

find the missing term in the sequence 3 ,-1 ,- 5 ____ -13

a. -6
b. -7
c. -9
d. -11​

Answers

Answer:

C. -9

Step-by-step explanation:

The pattern is clearly subtracting 4 each time (or adding -4).

-5 - 4 = -9

the answer would be c.

Aisha and some friends are going to the movies. At the theater, they sell a bag of
popcorn for $3.75 and a drink for $5. How much would it cost if they bought 5 bags of
popcorn and 8 drinks? How much would it cost if they bought p bags of popcorn and
d drinks?

Answers

Answer:

price of 5 bags of popcorn = 3.75 x 5 = 18.75

price of 8 drinks = 5 x 8 = 40

price of p bags of popcorn = 3.75 x p

price of d drinks = 5 x d

PELASE HELP ME I NEED HELP
1-Which or the following ratios are equivalent?


2-find this area.


3-what is the area of this trapezoid?

Answers

Answer:

1) 22:14 and 11:7

2) 39m^2

3) 39cm^2

Dan bought a new computer for $900. Each year, the value of the computer decreased by 25% of the previous year’s value.
At this rate, what can Dan expect the approximate value of the computer to be after 12 years?
A $73
B. $90
C. $29
D. $85

Answers

Answer:

$29, that is the answer for this question

please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer: 120 cubed inches

Step-by-step explanation:

First, multiply them all together. 6x10x2 = 120 cubed inches

Find the measure of the arc TDB in the circle P shown below:

Answers

[tex]\huge{ \mathfrak{  \underline{ Answer \:  \:  ✓ }}}[/tex]

The Angle formed by an arc on the centre of the circle is double the angle made by the same arc on the circumference of the circle.

So,

[tex] \boxed{ \mathrm{ \angle TDB = \dfrac{1}{2} \angle TPB }}[/tex]

[tex] \mathrm{\angle TDB = \dfrac{1}{2} \times 90 \degree}[/tex]

[tex] \mathrm{\angle TDB =45 \degree } [/tex]

_____________________________

[tex]\mathrm{☠ \: TeeNForeveR \: ☠}[/tex]

What geometric figure is the union of two non-collinear rays AB and AC?
ZBAC
ΔΑΒC.
BC
AB

Answers

BC is the answer love... have fun on that I-Ready Diagnostic


Which expression below has the same value?

Answers

Answer:A

Step-by-step explanation:

Answer:

15/8

Step-by-step explanation:

You will want all numbers to have the same common denominator, then you can add them together.

1 = 8/8

1/2 = 4/8

1/4 = 2/8

1/8 = 1/8

[tex]1+\frac{1}{2} +\frac{1}{4} +\frac{1}{8} \\\frac{8}{8} +\frac{4}{8} +\frac{2}{8} +\frac{1}{8}[/tex]

HELP! I'll give brainliest

Answers

Answer: A!

Step-by-step explanation:

Calculate the marked price (original price) if

a. After 25% discount, the price of an article is Rs 7500,


please with explanation and calculation the answer should be Rs 10 000

Answers

To get the original price we are going to;

1) Subtract the discount percentage from 100 to get the original price percentage.

100 - 25 = 75 %

2) Now we are going to multiply the discounted price by 100.

7500 x 100 = 750,000

3) Now we are going to divide the discounted price by the original price percentage.

750,000 / 75 = 10,000

Therefore the original price is Rs 10,000

PLEASE I NEED HELP Lisa made a chocolate milkshake in the blender for her daughter. The milkshake occupies just a little more than 75 cubic inches of space in the blender pitcher. When serving the milkshake to her daughter, she has three glasses to choose from. Determine whether or not each of the three classes is large enough to contain all of the chocolate milkshake that Lisa made for her daughter. Use 3.14 to approximate .

Glass A with a height of 2.1 inches and a diameter of 5 inches is _____
to contain the entire chocolate milkshake.

Glass B with a height of 2.7 inches and a radius of 4.6 inches is_____
to contain the entire chocolate milkshake.

Glass C with a height of 3.1 inches and a radius of 2.7 inches is ____
to contain the entire chocolate milkshake.
choices are too small and too large

Answers

Answer:

Glass c

Step-by-step explanation:yw :)

find the total surface area of a triangular prism 17cm 8cm 7cm 15cm

Answers

Answer:

hey I don't know which one is the hight

Caity is 50 inches tall. Caity's brother Michael is 5 inches taller than she is. What is Michael's height in feet and inches?

Answers

Answer:

55 inches = 4 feet 7 inches

Step-by-step explanation:

Because Michael is 5 inches taller so 50+5=55, then divided by 12 = 4 remainder 7. So that means Michael is 55 inches tall, or 4 feet and 7 inches

fractions are equal to 12 /18 is

Answers

Answer:

2/3

Step-by-step explanation:

Answer:

         2/3 =   4/6 =   6/9        =  8/12

= 10/15 = 12/18 = 14/21 = 16/24

= 18/27 = 20/30 = 22/33 = 24/36

= 26/39 = 28/42 = 30/45 = 32/48

= 34/51 = 36/54 = 38/57 = 40/60

= 42/63 = 44/66 = 46/69 = 48/72

= 50/75 = 52/78 = 54/81 = 56/84

= 58/87 = 60/90 = 62/93 = 64/96

= 66/99 = 68/102 = 70/105 = 72/108

= 74/111 = 76/114 = 78/117 = 80/120

= 82/123 = 84/126 = 86/129 = 88/132

= 90/135 = 92/138 = 94/141 = 96/144

= 98/147 = 100/150 = 102/153 = 104/156

= 106/159 = 108/162 = 110/165 = 112/168

= 114/171 = 116/174 = 118/177 = 120/180

= 122/183 = 124/186 = 126/189 = 128/192

= 130/195 = 132/198 = 134/201 = 136/204

= 138/207 = 140/210 = 142/213 = 144/216

= 146/219 = 148/222 = 150/225 = 152/228

= 154/231 = 156/234 = 158/237 = 160/240

= 162/243 = 164/246 = 166/249 = 168/252

= 170/255 = 172/258 = 174/261 = 176/264

= 178/267 = 180/270 = 182/273 = 184/276

= 186/279 = 188/282 = 190/285 = 192/288

= 194/291 = 196/294 = 198/297 = 200/300

A.

B.

C.

D.

Choose the one that would not fall on this line

Answers

The answer is B (2, 1)

Explanation:

The y-coordinate of the second point is not twice of its x-coordinate, hence it does not fall on the line.
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Thanks so much:// HouseholdSize.cpp - This program uses a bubble sort to arrange up to 300 household sizes in// descending order and then prints the mean and median household size.// Input: Interactive.// Output: Mean and median household size.#include #include using namespace std;int main(){ // Declare variables. const int SIZE = 300; // Number of household sizes int householdSizes[SIZE]; // Array used to store 300 household sizes int x; int limit = SIZE; int householdSize = 0; int pairsToCompare; bool switchOccurred; int temp; double sum = 0; double mean = 0; double median = 0; // Input household size cout > householdSize; // This is the work done in the fillArray() function x = 0; while(x < limit && householdSize != 999) { // Place value in array. householdSizes[x] = householdSize; // Calculate total of household sizessum+= householdSizes[x]; x++; // Get ready for next input item. cout > householdSize; } // End of input loop.limit = x;// Find the mean// This is the work done in the sortArray() functionpairsToCompare = limit - 1;switchOccured = true;while(switchOccured == true){ x = 0; switchOccured == false; while (x < pairsToCompare) { if(householdSizes[x]) > householdSizes[x+1]) { //perform switch } x++; } pairsToCompare--;}// This is the work done in the displayArray() function//Print the mean// Find the medianmedian = (limit-1) / 2;if (limit % 2 ==0){ cout The nutrition committee at a middle school has decided to find out which vegetables are most popular among the 500 students at the school. 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