a film canister in the shape of a cylinder has a height of 8 centimeters and a volume of the film canister. write an equation for the volume of the film canister.

Answer:

y=-2x-2

Step-by-step explanation:

y+4=-2(x-1)

y+4=-2x+2

y=-2x+2-4

y=-2x-2

Should be 5812.95 Students

The midline equation for the sinusoidal function is y = 4 sin(ωx + ∅) - 3, derived by calculating the amplitude and vertical shift within the general function equation.

A function is a mathematical expression, rule, or law that defines the relationship between one variable and another. In mathematics, functions play a crucial role in representing physical relationships and various mathematical concepts. One specific type of function is the sinusoidal function, characterized by its repetitive pattern within a specific time interval.

The general form of a sinusoidal function is given by the equation:

y = A sin(ωx + ∅) + c

Here, A represents the amplitude, ω is the argument, ∅ is the phase difference, and c is the vertical shift known as the midline.

To find the equation of the midline, we use the formula:

A = (Maximum value - Minimum value) / 2

Given that the maximum value is 1 and the minimum value is -7, the amplitude (A) is calculated as:

A = (1 - (-7)) / 2 = 4

The vertical shift (c) is determined to be -3. Substituting these values into the general equation, we obtain the equation of the midline for the sinusoidal function:

y = 4 sin(ωx + ∅) - 3

In summary, the equation of the midline for the sinusoidal function is y = 4 sin(ωx + ∅) - 3.

The amplitude and vertical shift inside the general function equation are used to obtain the midline equation for the sinusoidal function, which is y = 4 sin(ωx + ∅) - 3.

A mathematical phrase, rule, or law that establishes the connection between two variables is called a function.

Functions are essential to the representation of both mathematical concepts and physical relationships in mathematics.

The sinusoidal function is one particular kind of function that is distinguished by its repeating pattern inside a predetermined time frame.

The following formula provides the generic form of a sinusoidal function:

sin(ωx + ∅) + c = A

In this case, amplitude is denoted by A, argument by ω, phase difference by ∅, and vertical shift, or midline, by c.

We utilise the to determine the midline's equation.

A is equal to (Maximum - Minimum) / 2.

A = (1 - (-7)) / 2 = 4 is the formula for calculating the amplitude (A), given that the maximum value is 1 and the minimum value is -7.

It is found that the vertical shift (c) is -3. The equation of the midline for the sinusoidal function is obtained by substituting these values into the general equation: y = 4 sin(ωx + ∅) - 3

In conclusion, y = 4 sin(ωx + ∅) - 3 is the equation of the midline for the sinusoidal function.

The true statements are : A, E & F

Step-by-step explanation:

In geometry symbols, ≅ means congruent to, equivalence of geometric shapes and size thus ∠B≅∠X

The symbol ~ means similarity, same shape not same size. Line segment AB~WX and line segment ZW ~ DA

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Keywords :statements, true, similar, isosceles trapezoids

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Answer:

the first one and the last 2 are correct 8D

Step-by-step explanation:

Answer:

180° rotation

Step-by-step explanation:

sign changes when we rotate a point to 180 degrees. so 9 became -9 and -1 became 1, which gave us the clue that it's 180° rotation

The given situation described 180° rotation

Andrew's rotation maps point M(9, -1) to M'(-9, 1).

Since signing is changed when we rotate a point to 180 degrees. So here 9 became -9 and -1 became 1, which provides us the clue that its 180° rotation.

learn more about the point here: https://brainly.com/question/24450263

Step-by-step explanation:

DCF is 90°

so to find BCE

BCE+64+90=180

BCE=26°

CBE is (180-3x)

taking triangle BEC

(180-3x)+x+26=180

180-3x+x+26=180

-2x+26=0

-2x=-26

x=13

Answer:

Step-by-step explanation:

8) a) No: of sides of a regular polygon = 360° / exterior angle

                                                                = 360°/18° = 20 sides

b) Sum of interior angles of regular polygon = (n-2) * 180°   {n-no:of sides}

                   = (20-2)*180° = 18*180° = 32400°

9) Let the exterior angle be x.

So, interior angle = 140° + x

Interior angle + exterior angle  = 180°

140° +x + x = 180°

140° +2x = 180°

2x = 180° - 140°

2x =40°

x = 40°/2 = 20°

Exterior angle = 20°

Interior angle  = 160°

No: of sides of a regular polygon = 360° / exterior angle

                                                                = 360°/20° = 18 sides

Hint: Always sum of exterior angles of regular polygon is 360°

Answer:

Step-by-step explanation:

Supplementary angles add up to 180°.

m∠VST = m∠VSW + m∠TSW

m∠VST = 180° → m∠VSW + m∠TSW = 180°

Answer:

supplementary

Step-by-step explanation:

acute= less then 90 degrees

straight=180 degrees

complementary= 2 angles that equal 90 degrees

supplementary=2 angles that equal 180 degrees

The length of the line segment that connects vertex A and vertex B is 5 units

Step-by-step explanation:

Let us revise some facts about the horizontal and vertical segments

In Δ ABC

∵ A = (1 , -1)

∵ B = (1 , 4)

∵ C = (8 , 4)

∵ The x-coordinate of point A = 1

∵ The x-coordinate of point B = 1

∴ The x-coordinates of points A and B are equal

- The x-coordinates of A and B are equal, then the line AB is a

  vertical segment

∴ The length of AB is the difference between the y-coordinates

   of points A and B

∵ The y-coordinate of point A = -1

∵ The y-coordinate ob point B = 4

∴ The length of AB = 4 - (-1)

∴ The length of AB = 4 + 1

∴ The length of AB = 5 units

The length of the line segment that connects vertex A and vertex B is 5 units

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Answer:

5 units

Step-by-step explanation:

Answer:

- 133

Step-by-step explanation:

To find the 30 th term substitute n = 30 into the formula, that is

[tex]a_{30}[/tex] = 12 - 5(30 - 1) = 12 - (5 × 29) = 12 - 145 = - 133

Final answer:

The 30th term of the sequence defined by an = 12 – 5(n – 1) is – 133.

Explanation:

To calculate the 30th term of the sequence given by an = 12 – 5(n – 1), we start by substituting the value of n with 30.

[tex]a_{30}[/tex] = 12 – 5(30 – 1)

[tex]a_{30}[/tex] = 12 – 5(29)

[tex]a_{30}[/tex]   = 12 – 145

[tex]a_{30}[/tex] = – 133

The 30th term of the sequence is – 133.

Answer: The inequality symbol is reversed

Step-by-step explanation:

Given : 3 > -6

If we we multiply both side by -3 , we will have

-3(3) < -6(-3)

-9 < 18

the inequality symbol  changes because , in the rule of inequalities , anytime we multiply or divide through by negative , the inequality symbol must change

5(x - 3) +6 = 5x - 9​ has infinitely many solutions

Given equation is 5(x - 3) +6 = 5x - 9​

We have to find whether the given equation has one, zero, or infinitely many solutions

Let us solve the given equation

5(x - 3) + 6 = 5x - 9​

Let us use BODMAS rule to solve the given equation

According to Bodmas rule, if an expression contains brackets ((), {}, []) we have to first solve or simplify the bracket followed by of (powers and roots etc.), then division, multiplication, addition and subtraction from left to right

So let us first solve for brackets in given equation

5x - 15 + 6 = 5x - 9

5x - 9 = 5x - 9

0 = 0

Since the statement is true, there are infinitely many solutions

Answer:

6.32

Step-by-step explanation:

There's an easy trick for this. Move the decimal point once to the left, and then multiply by 2.

31.60 turns into 3.16 (which is 10% btw)

Multiply 3.16 by 2 and you get 6.32, or 20% of 31.60. Hope this helped!

For this case we have the following inequality:

[tex]0.4 + y\geq 7[/tex]

If we subtract 0.4 from both sides of the inequality we have:

[tex]y \geq7-0.4\\y \geq6.6[/tex]

Thus, the solution is given by all the values of "y" greater than or equal to 6.6.

The graph of the solution is attached.

Answer:

[tex]y\geq6.6[/tex]

Let x = the number of songs you can buy.

If you use company A at 0.79 dollars per song, your variable is 0.79x. If you use company B at 0.99 dollars per song, your variable is 0.99x. You are going to set both equal to 30.

Company A: 0.79x = 30

Company B: 0.99x = 30

When solving (though I know you didn't ask), do note that you cannot buy part of a song so you would need to round down to the nearest whole number.

So if you use company A, you divide both sides by 0.79 to isolate the variable x and satisfy the division principle of equality:

x = 30/0.79.

Simplify and your answer is 37.97, round down to 37 songs; you'd have 37 songs with company A and 77 cents left over in your account just sitting there because what really can you do with 77 cents on the App Store?

To model the song downloading situation with a budget of $30, we use the equations 0.79x <= 30 for Company A and 0.99x <= 30 for Company B, where x is the number of songs.

To model the situation where a student has $30 to spend on downloading songs, we can write two separate linear equations, one for each company. For Company A, which charges $0.79 per song, the equation will be:

0.79x ≤ 30

Where x represents the number of songs the student can download from Company A. For Company B, which charges $0.99 per song, the equation will be:

0.99x ≤ 30

Again, x represents the number of songs the student can download from Company B, but the cost per song is different, hence a different equation.

These equations are used to determine the maximum number of songs the student can download from each company without exceeding the $30 budget.

Answer:

165

Step-by-step explanation:

55* 3 = = 165

Answer:

The points each have scored are Susie 45.5 points and jack 40.5 points.

Step-by-step explanation:

Given:

Susie and jack are on a basketball team.

The total amount of points scored was 86.

Susie has 5 more than as many points as jack.

Now, to find the points they each have:

Let the points of jack be [tex]x[/tex].

Then the points of Susie be [tex]5+x[/tex].

There total points scored =  86.

According to question:

[tex]x+(x+5)=86.[/tex]

⇒ [tex]x+x+5=86.[/tex]

⇒ [tex]2x+5=86.[/tex]

Subtracting both sides by 5 we get:

⇒ [tex]2x=81.[/tex]

Dividing both sides by 2 we get:

⇒ [tex]x=40.5.[/tex]

Jack scored = 40.5 points.

Putting the value of [tex]x[/tex] to get the points of Susie:

[tex]x+5[/tex]

⇒ [tex]40.5+5 = 45.5[/tex]

Susie scored = 45.5 points.

Therefore, the points each have scored are Susie 45.5 points and jack 40.5 points.

Answer:

The sum of the first 35 terms of the arithmetic sequence when a = 5 and d = 4 is 2555.

Step-by-step explanation:

Given:

a = 5

d =  4

To Find :

The sum of first 35 terms of the arithmetic sequence  = ?

Solution:

Step 1 : finding the 35th term

[tex]a_n = a_1 +(n-1)d[/tex]

[tex]a_35 = 5 +(35-1)4[/tex]

[tex]a_35 = 5 +(34)4[/tex]

[tex]a_35 = 5 +136[/tex]

[tex]a_35 = 141[/tex]

Step 2: Finding the sum of first 35 terms

[tex]S_n = \frac{n(a_1 +a_n)}{2}[/tex]

Substituting the values

[tex]S_n = \frac{35(5+141)}{2}[/tex]

[tex]S_n = \frac{35(146)}{2}[/tex]

[tex]S_n = \frac{35(146)}{2}[/tex]

[tex]S_n = \frac{5110)}{2}[/tex]

[tex]S_n = 2555[/tex]

Answer: -50

Step-by-step explanation: A withdrawal means that you're decreasing the amount of money you have.

So a withdrawal of $50 can be written as -50.

Answer:

Hector has spent $37.5.

Step-by-step explanation:

Given:

Total money he cashed = $50

Also Given:

Hector spent [tex]\frac{3}{4}[/tex] of his money the day after he cashed his paycheck of $50.

Let 'm' be the amount of money hector spent.

Now according to question;

amount of money hector spent is equal to [tex]\frac{3}{4}[/tex] times the amount of money he cashed his paycheck.

framing in equation form we get;

[tex]m =\frac{3}{4}\times 50 = \$37.5[/tex]

Hence hector has spent $37.5.

Answer:

[tex]6x + 4x - 3x = 10x - 3x = 7x[/tex]

Answer:

15 sec.

Step-by-step explanation:

Given: Object travels 1/20 of the length of the path in 3/4 seconds.

Let the entire length of the path be "x".

Now, solving to find the total time taken to travel entire length.

First step, Object travel= [tex]\frac{1}{20}\times x = \frac{x}{20}[/tex]

Next putting the value in the ratio of Length: time.

[tex]\frac{\frac{x}{20} }{\frac{3}{4} }[/tex]

And another ratio of entire length and total time

[tex]\frac{x}{Total\ time}[/tex]

Now, using scissor method fractioning to solve the ratio or fraction

⇒[tex]\frac{\frac{x}{20} }{\frac{3}{4} }= \frac{x}{Total\ time}[/tex]

To divide fraction, take reciprocal of the divisor and multiply the dividend.

⇒ [tex]\frac{x}{20} \times \frac{4}{3} = \frac{x}{Total\ time}[/tex]

⇒[tex]\frac{4x}{20\times 3} = \frac{x}{Total\ time}[/tex]

Cross multiplying both side.

⇒ [tex]Total\ time= \frac{20x\times 3}{4x}[/tex]

⇒ [tex]Total\ time= \frac{20\times 3}{4}[/tex]

⇒[tex]Total\ time= 5\times 3= 15\ sec[/tex]

∴ Total time taken by Object to travel entire length is 15 sec.

The length of one edge of a cube with a volume of 1331 cm³ is 11 cm, derived by taking the cube root of the volume.

To calculate the length of one edge of a cube when the volume is given, we use the formula for the volume of a cube: Volume = side³, where 'side' is the length of one edge of the cube.

The cube in question has a volume of 1331 cm³. To find the length of one edge of the cube, we need to take the cube root of the volume. The cube root of 1331 cm³ is 11 cm, meaning each side of the cube measures 11 cm.

The cube root is calculated because raising a number to the third power cubes it, and taking the cube root is the inverse operation. This process allows us to determine the original value that was cubed to get the volume.

Answer: Search it up

Step-by-step explanation:

It shows you all the steps and will help you

Answer:

420cal = 2 cups

Step-by-step explanation:

140cal = 2/3 cup

xcal= 2 cups

Divide 2/(2/3) = 3

Multiply both sides by 3 (answer)

140cal= 2/3 cups (3)

420cal = 2 cups

The 2 cups Contain 420 Cal.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

2/3 Cup contain = 140 Cal

So, 1 cup contain = 140 ÷ ( 2/3)

                             = 140 x 3/2

                             = 70 x 3

                             = 210

Then, In 2 cups = 210 x 2

                          = 420 Cal

Hence, 2 cups Contain 420 Cal.

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Answer:

as illustrated

Step-by-step explanation:

X-4y= - 18

find 2 points on the line

x = 0     y = 4.5      (0, 4.5)

x = 4   y = 5.5         (4, 5.5)

Answer:

Please Check the image for the answer to your question hope this helps!

1.0  0.91  0.3  0.07

descending

largest to smallest

Answer:

1.0, 0.91, 0.3, 0.07

Step-by-step explanation:

first take the decimal number(s) in front and put then first.

then take the ones closest to one

then thanks the ones closer to half

then, finally take the ones closer to zero

Answer:

$16,991

Step-by-step explanation:

Rate = r = 2.5%

Times = b = 4

A = P [1 + (r / b)]ⁿᵇ

A = $15,000 [1 + (0.025 / 4]⁵ ˣ ⁴

A = $15,000 [1 + 0.00625]²⁰

A = $15,000 [1.00625]²⁰

A = $15,000 x 1.132708

A = $16,991