If 120 customers have bought tickets today, how many free tickets has the manager given away

Answer:

Step-by-step explanation:

\(2\sqrt{8}+\sqrt{8}\\\\\mathrm{Add\:similar\:elements:}\:2\sqrt{8}+\sqrt{8}=3\sqrt{8}\\\sqrt{8}=2\sqrt{2}\\\\=3\times\:2\sqrt{2}\\\\=6\sqrt{2}\)

Given the figure in the attached image.

Reason: vertically opposite angles are equal.

Also;

Reason: supplementary angles.

solving for angle 1;

Answer:

2/3 / 1/6

4/6 / 1/6

1/6 can go into 4/6 4 times. the answer is C; 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

if 2021 is 35% decrease of the original number then 2020 is 100% ,and 2021 = 65%.

so, we do the rule of three:

x = (94900 * 100)/ 65

x = 146000

and that is the population in 2020.

Answer:

Hey there! Based on the information provided, it seems that the population of the town decreased by 35% between 2020 and 2021. We can use this information to calculate that in 2021, the population of the town was 65% of its population in 2020. If the population of the town in 2021 was 94,900, then we can use this information to calculate that the population of the town in 2020 was 146,155. Does that make sense?

Answer:

360

Step-by-step explanation:

360 because you multiply the height times the width and you get your answer hopefully this helps you

Answer:

3.677

Step-by-step explanation:

We have the following information to answer this question

X = 181 = average price

U = 165 = price

S = 25 = standard deviation

N = 33 = random sample

We use the formula below to calculate the t statistics

T = x-u/s/√n

When we input these values

181-165/25/√33

T = 3.677

Therefore for this question, the test statistic t is equal to 3.677 to 3 decimal places

The instantaneous velocity must be v= 265 at t=2

The height in feet after t second is given by y(t)=95t−16t^2.

Average velocity is defined by:

\(v_{ave} = \frac{x_{f} -x_{i} }{t_{f} -t_{i} }\)

i)

\(t_{i}\) = 2

\(x_{i}\)=y(2)=174

\(t_{f}\)=2+0.1

\(x_{f}\) = y(2+0.1) = 365.4

\(v_{ave}\) = 280.54

ii)

\(t_{i}\) = 2

\(x_{i}\)=y(2)=174

\(t_{f}\)=2+0.01

\(x_{f}\) = y(2+0.01) = 349.74

\(v_{ave}\) = 264.88

iii)

\(t_{i}\) = 2

\(x_{i}\)=y(2)=174

\(t_{f}\)=2+0.001

\(x_{f}\) = y(2+0.001) = 348.174

\(v_{ave}\) = 263.316

Instantaneous velocity is defined by: \(v= lim_{t-0} \frac{delta x}{delta t}\)

When, delta t = 0, v = 265

So instantaneous velocity must be v= 265 at t=2

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Answer:

543.47826087

Step-by-step explanation:

Answer:

2 Minutes

Step-by-step explanation:

the first ratio is 5:10 since it is easier to work with big numbers let's start by  multiplying it by 2 to get something

Now we have 10:20 we can divide this by 10 and get the ratio 1:2

1:2 equals 1 mile:2 minutes which is 1 mile in 2 minutes!

Have a nice day and I hope this helps!

Answer:

1.21*10^-2

Step-by-step explanation:

Answer:

(x + i) (x - i)

Step-by-step explanation:

The expression x^2 + 1 is a sum of squares, which means that it cannot be factored using real numbers. However, it can be factored using complex numbers.

To factor x^2 + 1, we can use the fact that i^2 = -1, where i is the imaginary unit.

We can rewrite x^2 + 1 as:

x^2 + 1 = x^2 - (-1)

Now, we can use the difference of squares formula to factor x^2 - (-1):

x^2 - (-1) = (x + i)(x - i)

Therefore, the factored form of x^2 + 1 is:

(x + i)(x - i)

The maximum number of pens and pencils she can purchase is 10 pens and 30 pencils. The result is obtained by using substitution method on inequality problem.

The most important thing in inequality problem is the inequality symbol. The symbols are:

Teri wants to buy as many pencils and pens as possible by spending no more than $6.50. She wants three pencils for every pen. Each pencil costs $0.15 and each pen costs $0.20.

Find the maximum number of pens and pencils she can purchase?

Let's say:

The money spent is no more than $6.50. It means the maximum money spent is $6.50. We got the inequality.

0.15x + 0.20y ≤ 6.50

She wants 3 pencils for 1 pen. We have x = 3y.

Substitute x with 3y!

0.15(3y) + 0.20y ≤ 6.50

0.45y + 0.20y ≤ 6.50

0.65y ≤ 6.50

y ≤ 10

x = 3y = 3(10) = 30

Hence, Teri can purchase 10 pens and 30 pencils with the money she can spend.

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The point in the solution set from the graph is (0, 0)

From the question, we have the following parameters that can be used in our computation:

y < -5/2x - 2

y ≥ -1/2x + 2

Next, we plot the graph of the system of the inequalities

The graph is given

From the graph, we have solution to the system to be the shaded region

The point in the solution set from the graph is (0, 0)

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Answer: x = 1

Step-by-step explanation:

x = 1 provides one solution for any linear equation, as it is a straight vertical line.

Hope it helps <3

Answer:

x=2

Step-by-step explanation:

Our equation is y=2x+4

the line goes through (2,0) and (0,4)

This equation has one solution for y=0

there are millions of similar equations that has one solution like:

x = 2

6_2/5 + (3(1/4)_3/8 + 1/2

Answer:

Step-by-step explanation:

\(6-[\frac{2}{5}+\{3\frac{1}{4}-(\frac{3}{8}+\frac{1}{2})\}]\\\\=6-[\frac{2}{5}+\{3\frac{1}{4}-(\frac{3}{8}+\frac{1*4}{2*4})\}]\\\\=6-[\frac{2}{5}+\{\frac{13}{4}-(\frac{3}{8}+\frac{4}{8})\}\\\\=6-[\frac{2}{5}+\{\frac{13*2}{4*2}-\frac{7}{8}\}]\\\\=6-[\frac{2}{5}+\{\frac{26}{8}-\frac{7}{8}\}]\\\\=6-[\frac{2}{5}+\frac{19}{8}]\\\\=6-[\frac{2*8}{5*8}+\frac{19*5}{8*5}]\\\\=6-[\frac{16}{40}+\frac{95}{40}]\\\\=6-\frac{111}{40}\\\\=\frac{6*40}{1*40}-\frac{111}{40}\\\\=\frac{240}{40}-\frac{111}{40}\\\\\)

=129/40

= \(3\frac{9}{40}\)

=

Answer:

Option D!

Step-by-step explanation:

Rose graphs are present in two forms, r = a cos(nθ), and  r = a sin(nθ). a can be present as any value besides 0, and n can be any positive number -

r = - 12 sin(nθ)

Here a = - 12, and n = 2, meeting the criteria for a rose graph!

Hope that helps!

Answer: The cost per ticket is $12.

Step-by-step explanation:

Answer:

  C:  y = -(x +3)² -1

Step-by-step explanation:

You want the vertex-form equation of the parabola with vertex (-3, -1) and opening downward.

For vertex (h, k), the vertex form equation of a parabola is ...

  y = a(x -h)² +k

Given that (h, k) = (-3, -1), the equation will have the form ...

  y = a(x -(-3))² + (-1)

  y = a(x +3)² -1 . . . . . . . . . . matches choice C

The value of 'a' will be negative when the parabola opens downward. Here, its value is -1.

  y = -(x +3)² -1

__

Additional comment

Once you identify the left-shift of 3 units as resulting in an equation with (x +3)² as a component, you can make the appropriate answer choice without considering anything else. Of course, the fact that the curve opens downward immediately eliminates choices A and B.

<95141404393>

it landed in blue 14 times in 60 spins for a 14/60 = 0.2333 probability.

450 spins x 0.2333 probability = 105 times

Answer: 105

Answer:

7 hours 40 minutes in 2 weeks

Step-by-step explanation:

1.3 - 1 hour 20 minutes

1.5 - 1 and a half hours

2hours

add them all toghether = 3 hours 50 minutes

3 hours 50 minutes times 2 (2 weeks) = 7 hours 40 minutes

Answer:

y=2(x-1)+5

Step-by-step explanation:

We know that it is 5 dollars for the first minute so we know the equation will start off with +5.

Than for the rest of the minutes, we have to make sure to subtract one from them, because the first number is worth 3 dollars more. Which is why it is x-1.

Then we multiply the new value times 2, because each additional minute is 2 dollars more.

According to the discrete distribution given, the standard deviation is of: 0.98.

The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability, hence:

\(E(X) = 0.1296(0) + 0.3456(1) + 0.3456(2) + 0.1536(3) + 0.0256(4) = 1.6\)

The standard deviation is the square root of the sum of the multiplication of each probability and the difference squared between the observation and the mean, hence:

\(\sqrt{V(X)} = \sqrt{0.1296(0-1.6)^2 + \cdots + 0.1536(3-1.6)^2 + 0.0256(4-1.6)^2} = 0.98\)

The standard deviation is of 0.98.

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When solving exponential equations we must first get like bases.

For example. We have the exponential equation:

2ⁿ = 8

We must get both sides of the equation with the same bases.

We can see that 8 = 2 . 2 . 2 = 2³

So

The csc(theta) = 1/sin(theta) = 1/(-2/√13) = -√13/2. So, the cosecant of theta is -√13/2.

To find the cosecant (csc) of theta when a point (-3, -2) lies on its terminal side, we need to determine the hypotenuse (r) of the right triangle formed by this point.

Using the Pythagorean theorem, r^2 = (-3)^2 + (-2)^2. So, r^2 = 9 + 4 = 13, and r = √13.

The csc(theta) is the reciprocal of sin(theta). Sin(theta) is calculated as the ratio of the opposite side (y-coordinate) to the hypotenuse, or sin(theta) = -2/√13.

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The example that is a continuous data is B. The wait time at a bus station

From the question, we have the following parameters that can be used in our computation:

The list of options

By definition, a continuous data is a data that can take any value including decimals

From the list of options, we have:

B. The wait time at a bus station

The wait time can be 1.25 hour and it can be 1 hour ie. decimal and integer

Hence, the continuous data is B. The wait time at a bus station

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Answer:

2nd and 3rd

Step-by-step explanation:

Parabolas facing down have a<0

so 2nd and 3rd

Answer:

The answer is : x>4

Step-by-step explanation:

3(5-x)<5x-17

15-3x<5x-17

-3x-5x<-17-15

-(3x+5x)<-(17+15)

3x+5x>17+15

8x>32

x>\(\frac{32}{8}\)

x>4

Answer: 22 minutes

Step-by-step explanation: m + 2m + m + 7 = 4m + 7

4m + 7 = 50

4m = 44

m = 11

2m = 11 x 2 = 22 minutes

The value of dy/dx is -27/8 for 1=5x³+2y²+4xy  at (-1,3).

A differential equation is an equation that contains one or more functions with its derivatives.

Given,

The equation is 1=5x³+2y²+4xy

We need to differentiate the given equation

5.3x²+4ydy/dx+4(xdy/dx+y)=0

15x²+4ydy/dx+4(xdy/dx+y)=0

15x²+4ydy/dx+4xdy/dx+4y=0

15x²+dy/dx(4y+4x)+4y=0

dy/dx(4y+4x)=-15x²-4y

dy/dx=-15x²-4y/4y+4x

Now plug in x =-1 and y=3

dy/dx=-15(-1)²-4(3)/4(3)+4(-1)

=-15-12/12-4

=-27/8

Hence, the value of dy/dx is -27/8 for 1=5x³+2y²+4xy  at (-1,3).

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Answer:

60:61.8 OR 10:10.3

Step-by-step explanation:

Cant be simplified - unless your in advanced classes. If so

10:10.3

Answer:

Step-by-step explanation:

1/3 or 0.3 or 33.333333% or 3^-1 or 3.333333 x 10^-1