PLEASE HELP WILL MARK BRAINLIEST!!! A movie theater is offering a special summer pass. Passholders pay $8 per movie for the first 5 movies and watch additional movies for free, up to a maximum of 15 movies. The function C gives the total cost, in dollars, for a passholder to watch n movies.
1. Is function C a piecewise function? Explain your reasoning.
2. Draw a graph to represent C.
3. Describe, as completely as possible, the domain of C.
4. Describe, as completely as possible, the range of C.

Answer:

x = 120°

Step-by-step explanation:

We are given;

sec²x + 4secx = -4

Rearranging gives;

sec²x + 4secx + 4 = 0

Factorizing the left hand side gives;

(sec x + 2)(sec x + 2) = 0

This means that;

(sec x + 2) = 0

From trigonometry, we know that sec x = 1/cos x

Thus;

(1/cos x) + 2 = 0

1/cos x = -2

cos x = -1/2

cos x = -0.5

x = cos^(-1) -0.5

x = 120°

Answer:

$ 900

Step-by-step explanation:

Simple interest = Principle * Time * Rate / 100

Now by substituting :

27 = Principle * 2 * 1.5 / 100

Principle = 27 * 100 / 2 * 1.5

Principle = 2700 / 3

So Principle = $ 900

Hope it helps

Answer:

18%

Step-by-step explanation:

Given data

commission = $378

sales =$2100

Hence the percentage is given as

= 378/2100*100

=0.18*100

= 18%

Hence the percentage commission is 18%

Answer:

The more nights they practice, the better score they get.

Hope this helps

Answer:

y = - [tex]\frac{5}{2}[/tex] x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (4, - 5) and (x₂, y₂ ) = (2, 0)

m = [tex]\frac{0+5}{2-4}[/tex] = [tex]\frac{5}{-2}[/tex] = - [tex]\frac{5}{2}[/tex] , then

y = - [tex]\frac{5}{2}[/tex] x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (2, 0 )

0 = - 5 + c ⇒ c = 0 + 5 = 5

y = - [tex]\frac{5}{2}[/tex] x + 5 ← equation of line

Answer:

1844

Step-by-step explanation:

For polling firm survey on voters, the smallest sample size which is required to obtain the desired margin of error, is 1850.

The probability or the chances of error while choosing or calculating a sample in a survey is called the margin of error.

[tex]MOE=z\times\dfrac{\sigma}{\sqrt{n}}[/tex]

Here, z is the critical value and n is the sample size.

Here, a polling firm wants to use a one-sample z interval to estimate, the number of proportion of voters in a country plan on voting for a certain candidate.

The margin of error for this test is 3% or 0.03 and the confidence interval is 99 percent.

The z value on the confidence interval of 99 percent is 2.576. Here, the standard deviation for this survey is 50 percent, or 0.50.

Put the value in the above formula as,

[tex]0.03=(2.576)\times\dfrac{0.5}{\sqrt{n}}\\n\approx1850[/tex]

Hence, for polling firm survey on voters, the smallest sample size which is required to obtain the desired margin of error, is 1850.

Learn more about the margin of error here;

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Answer: 25.88

Step-by-step explanation:

As a fraction it is 22/25 pls mark brainliest

Answer:

2 hours

Step-by-step explanation:

Subtract the 4 already then divide 16 by 8 and you get 2 :)

Answer:

150pi

Step-by-step explanation:

lets just say the two circles are 10 and 10 in diameter. so, one square is 5 radius. The square is 25pi area. so two are 50pi area. the area of the rectangle is 200, so 150pi

Please tell me if I'm wrong D:

Answer:

bro its c i promise

Step-by-step explanation:

trust me

Answer:

LG=LE=LF since it is the centroid. So I think it would also be 9.

Answer:

12 is the answer

Step-by-step explanation:

12 is the answer

Answer: 4 years =35.064 hour

Step-by-step explanation:

8760 multiplied by 3 is 26,280

add the year hours

26,280+ 8784 = 35,064 hours

Answer:

35064

Step-by-step explanation:

Answer:

1.643

Step-by-step explanation:

1.56 + 0.083

1.56 = 1.560

Starting from the digits the closest to the right, we do

0.003 + 0.000 = 0.003

0.08 + 0.06 = 0.14

so right now we have 0.143

0.0 + 0.5 = 0.5

so now we have 0.643 (because 0.1 + 0.5 = 0.6)

and finally 1 + 0 = 1

so we end with 1.643

The sum of the expression 1.56 + 0.083 is,

⇒ 1.643

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

The expression is,

⇒ 1.56 + 0.083

Now, We can simplify as;

⇒ 1.56 + 0.083

Add as;

⇒ 1.643

Thus, The sum of the expression 1.56 + 0.083 is,

⇒ 1.643

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Answer:

Mean: 29.6

MAD: 10

Step-by-step explanation:

Answer:

Mean = 29.6

MAD = 10

Step-by-step explanation:

For the mean, just add all of the points together and divide it by 10 since there are 10 games.

For the MAD, use the mean and subtract is from each of the games. As an example, just do 23-29.6 and ignore if it is a negative sign. Do it for all and then add up the leftovers. Then divide it by the 10 games.

(6.6+1.4+1.6+8.4+10.6+8.4+15.4+4.6+26.6+16.4)/10

Check out a khan academy video about it if you're having trouble

Answer:

Maria made more money

Answer:

Step-by-step explanation:

if we have a right triangle,

one angle=90

180-90=90

let x be one angle, and y another angle

the other is 2x+30

x+2x+30=90

3x=60

x=20

y=70

The measure of each acute angles are 80 degrees and 10 degrees.

The triangle is a right angle triangle. This means one of its angles is 90 degrees.

The other 2 angles sum up to 90 degrees.

An acute angle is less than 90 degrees.

The measure of one acute angle is twice the sum of the measure of the other

acute angle and 30. Therefore,

first acute angle  = x

let the other angle  = y

y = 2(x + 30)

y = 2x + 60

2x - y = -60

x + y = 90

3x = 30

x = 30 /3

x = 10 degrees

y = 90 - 10

y = 80 degrees

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Answer:

60

Step-by-step explanation:

150/250 means she would have sold 60% of the corn, and 60% is 60/100 so no further work is required because the corn at start is already 100.

Answer:

$1344.31

Step-by-step explanation:

1111*0.11*11=1344.31

Answer:

20.8mm

Step-by-step explanation:

We know that an octagon has 8 sides, and since this is a regular octagon we can safely say that all sides are equal.

This means all sides are 2.6mm.

So if we run the calculation:

2.6mm × 8 = 20.8mm (Side Length × Number of Sides = Perimeter)

We have our final answer!

Answer:

[(x + 6), (y + 1)]

Step-by-step explanation:

Vertices of the quadrilateral ABCD are,

A → (-5, 2)

B → (-3, 4)

C → (-2, 4)

D → (-1, 2)

By reflecting the given quadrilateral ABCD across x-axis to form the image quadrilateral A'B'C'D',

Rule for the reflection of a point across x-axis is,

(x, y) → (x , -y)

Coordinates of the image point A' will be,

A(-5, 2) → A'(-5, -2)

From the picture attached, point E is obtained by translation of point A'.

Rule for the translation of a point by h units right and k units up,

A'(x+h, y+k) → E(x', y')

By this rule,

A'(-5 + h, -2 + k) → E(1, -1)

By comparing coordinates of A' and E,

-5 + h = 1

h = 6

-2 + k = -1

k = 1

That means

Rule for the translation will be,

[(x + 6), (y + 1)]

Answer:

A. 3/2

Step-by-step explanation:

To find the lenght of the side opposing the 30° angle, you need to use trigonometry, since it's a right-angled triangle. You have your 30° angle and you have the side beside : therefore, you can use the sine :

sin(30) x 3 = ?

0,5 x 3 = ?

1,5 = ?

1,5 = 3/2

Answer:

nose pero descarga symbolab en play stores ahí te dará la respuesta

Answer:

21/7=3

3 times bigger.

Step-by-step explanation:

Answer:

1) 04.4750

Step-by-step explanation:

The most obvious reason would be that if you put in 3.58 x 1.25 into a calculator the answer u get is 4.4750.

If you want a more technical explanation though, you can say that the combined number of decimal places in the multiplicand and the multiplier is 4, so the product will also have 4 decimal places.

3.58 = two decimal places

1.24 = 2 decimal places

in total, they have 4 decimal places. for the product to have 4 decimal places too you'd count from right to left 4 places, and that's where you'd put the decimal. Hope this helps!

Step-by-step explanation:

[tex] \frac{14}{ \sqrt{2} } + \sqrt{50} \\ \frac{ \sqrt{2} \times \sqrt{2} \times 7}{ \sqrt{2} } + \sqrt{25 \times 2} \\ \\ 7 \sqrt{2} + 5 \sqrt{2} = 12 \sqrt{2} [/tex]

The given expression can be written in the form of b√2 as 12√2 where b = 12.

An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.

The variable part of an algebraic expression can never be added or subtracted from the constant part.

The given expression is [tex]14/\sqrt{2}+\sqrt{50}[/tex].

It can be rewritten as,

[tex]14/\sqrt{2}+\sqrt{50}[/tex]

Multiply √2 to both numerator and denominator of 14/√2 as,

14√2/2 + √50

⇒ 7√2 + √(5 × 5 × 2)

⇒ 7√2 + 5√2 = 12√2

On comparing 12√2 with b√2, it is obtained as,

b = 12

Hence, the given expression can be written as 12√2.

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Answer:

Step-by-step explanation:

Distribute

2x+6 = x-4

Subtract 6 on both sides

2x = x-10

Subtract x on both sides

x = -10

2(x+3)=x-4 perform indicated multiplication on left side

2x+6=x-4 subtract d from both sides

x+6=-4 subtract 6 from both sides

x=-10

Answer:

1. standard form

2. vertex form