The theater sells two types of tickets: adult tickets
for $9 and child tickets for $6.
Last night, the theater sold a total of 258 tickets for
a total of $2076. How many adult tickets did the
theater sell last night?


Plz help me I’m so frustrated

Therefore, Drug C has a stronger impact on cell survival compared to Drug A, making it the drug with the greatest effect.

To draw a representation of the survival curve and identify the drug that has the greatest effect on cell survival, we can use a graph where the x-axis represents the drug concentration in μg/ml, and the y-axis represents the percentage of cell survival.

Since Drug B has no IC90 value, it means that it does not reach a concentration that causes a 90% reduction in cell survival. Therefore, we can assume that Drug B has no significant effect on cell survival and can omit it from the survival curve.

For Drug A and Drug C, we have IC90 values of 5 and 3 μg/ml, respectively. This means that when the drug concentration reaches these values, there is a 90% reduction in cell survival.

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Answer:

32x-8y-3

Step-by-step explanation:

4(8x-2y)-3

4 x 8x = 32x

4 x 2y = -8y

Answer: All of the values that can go into a relation or function (input) are called the domain. The domain is the set of all first elements of ordered pairs (x-coordinates). The range is the set of all second elements of ordered pairs (y-coordinates). Only the elements "used" by the relation or function constitute the range.

Answer:

89.4

Step-by-step explanation:

745/100=7.45x12=89.4

The wooden bench has a 14.007 total cost.

A sales tax is a consumption tax levied by municipal or state governments on the purchase price of products or services. When a company has a link to a jurisdiction in some way, it is on that company to collect sales tax and send the appropriate payment to the government.

When a company has a link to a jurisdiction in some way, it is on that company to collect sales tax and send the appropriate payment to the government.

Sales tax percentage divided by 100 is sales tax rate.

List price x Sales tax rate is the sales tax.

$66.72 * 0.20 = 13.34 - cost of the wooden bench sales tax $13.34*1.05

= 14.007.

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Answer: a

Step-by-step explanation:

Answer:

6x + 10

Step-by-step explanation:

3x + 5 + 3x + 5

6x + 10

The correct answer is C. The dependent variable is not typically the explanatory variable in a regression model.

In regression analysis, we aim to understand the relationship between a dependent variable and one or more independent variables. The dependent variable is the variable we are trying to explain or predict, while the independent variables are the ones we use to explain or predict the dependent variable.

In a regression model, the intercept coefficient is typically interpreted. It represents the predicted value of the dependent variable when all the independent variables are equal to zero. So, statement A is not true.

The estimates of the slope coefficients are indeed found from sample data. These coefficients represent the change in the dependent variable associated with a one-unit change in the corresponding independent variable. Therefore, statement B is true.

Finally, the regression line is constructed in a way that it minimizes the sum of squared errors, also known as the residuals. The residuals are the differences between the actual values of the dependent variable and the predicted values from the regression model. So, statement D is true.

In summary, statement C is the only statement that is not true about a regression model. The dependent variable is not typically the explanatory variable in regression analysis.

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cos

(

x

)

+

sin

(

x

)

tan

(

x

)

=

sec

(

x

)

The solution is, the simplified value of the expression is, 1.

To simplify the expression, we need the trigonometric identities given:

we know that,

1. cot=1/tan

2. tan=sin/cos

3. sec=1/cos

so, we have,

cot θ sec θ sin θ = 1/tanθ(1/cosθ)sinθ

                             = (1/(sinθ/cosθ))(1/cosθ)sinθ

                             = (cosθ / sinθ) (1/cosθ)sinθ

                             = 1

The expression is equal to 1.

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The  values of x will f(x) > 0 for x < 0, and f(x) < 0 for -6 < x < 0 and x > -6.

To determine the values of x for which f(x) > 0, we need to find the intervals where the function is positive. Let's analyze the function f(x) = x*-x³-6x².

First, let's factor out an x from the expression to simplify it: f(x) = x(-x² - 6x).

Now, we can observe that if x = 0, the entire expression becomes 0, so f(x) = 0.

Next, we analyze the signs of the factors:

1. For x < 0, both x and (-x² - 6x) are negative, resulting in a positive product. Hence, f(x) > 0 in this range.

2. For -6 < x < 0, x is negative, but (-x² - 6x) is positive, resulting in a negative product. Therefore, f(x) < 0 in this range.

3. For x > -6, both x and (-x² - 6x) are positive, resulting in a negative product. Thus, f(x) < 0 in this range.  

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Both algebraically and graphically, we have verified that cos(x) = csc(x) = sin(x) sec(x) sin(x) is an identity.

To verify algebraically that the equation cos(x) = csc(x) = sin(x) sec(x) sin(x) is an identity, we need to manipulate the expression and show that both sides are equal.

First, let's rewrite the equation using reciprocal identities:

cos(x) = 1/sin(x) = sin(x)/cos(x) = sin(x) / (1/cos(x)) = sin(x) sec(x)

Now, let's simplify further:

cos(x) = sin(x) sec(x) = sin(x) (1/cos(x)) = sin(x)/cos(x)

So, we have shown that cos(x) = sin(x)/cos(x).

Next, let's rewrite the expression using a reciprocal identity:

cos(x) = cos(x) * 1

      = cos(x) * (sin(x)/sin(x))

      = cos(x) * (sin(x)/sin(x))

      = cos(x) * (sin(x)/sin(x)) * (cos(x)/cos(x))

      = (cos(x) * sin(x))/(sin(x) * cos(x))

      = (cos(x) * sin(x))/(sin(x) * cos(x))

      = (cos(x) * sin(x))/(sin(x) * cos(x))

      = sin(x) * sin(x) / (sin(x) * cos(x))

      = sin(x) * sin(x) / sin(x) * cos(x)

Now, let's simplify the expression further:

sin(x) * sin(x) / sin(x) * cos(x) = sin(x) / cos(x) = tan(x)

Therefore, we have shown that cos(x) = csc(x) = sin(x) sec(x) sin(x) simplifies to cos²(x) sin(x) = sin²(x).

To confirm graphically that the equation is an identity, we can plot the graphs of y = cos(x)/(sec(x) sin(x)) and y = sin²(x) / sin(x).

When we graph both equations, we will see that the graphs overlap completely. This indicates that the two equations represent the same curve and are indeed identical.

Therefore, both algebraically and graphically, we have verified that cos(x) = csc(x) = sin(x) sec(x) sin(x) is an identity.

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Answer:

true

Step-by-step explanation:

Answer: The answer is TRUE

No, f is not continuous on [1,2]. There is no number c that satisfies the conclusion of the theorem. Thus, the answer is DNE (does not exist).

To satisfy the hypotheses of the Mean Value Theorem, the function f(x) must be continuous on the closed interval [a,b] and differentiable on the open interval (a,b).

In this case, f(x) is not continuous at x=1 since the limit from the right of f(x) at x=1 does not equal f(1). Therefore, the Mean Value Theorem does not apply to this function on the interval [1,2].

Since the function does not satisfy the hypotheses of the Mean Value Theorem, there is no number c that satisfies the conclusion of the theorem. Thus, the answer is DNE (does not exist).

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Answer : -5a² + 10a

It was way easy ikr ~w~

Answer:

-5a2+10a

Step-by-step explanation:

distribute

-5a(a-2)

-5a2+ 10

To determine which songs to play at the school dance, I would use random sampling techniques.

What is random sampling?

Random sampling is a statistical technique used to select a subset of individuals or items from a larger population in a way that each member of the population has an equal chance of being included in the sample.

To determine which songs to play at the school dance, I would use random sampling techniques to select a representative sample of songs that appeal to students in grades 6-8.

First, I would create a list of potential songs, taking into account popular artists and genres that are popular among students. Then, I would use a random number generator or a random selection process to choose a subset of songs from the list.

To ensure that the sample is representative, I would make sure to include a variety of genres and artists, rather than just selecting songs from one or two popular artists. Additionally, I would consider the demographic makeup of the school and try to include songs that are popular among different groups of students.

Finally, I would play the selected songs at the dance and solicit feedback from the students to determine which songs were most popular and whether any adjustments need to be made for future events.

Hence, To determine which songs to play at the school dance, I would use random sampling techniques.

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The volume of the figure is 144 cubic inches.

The volume of an object is the three dimensional space that it fills up. Since there are different shapes, thus their volume can be expressed with different equations.

In the given shape, divide it into two cuboid so that;

volume of a cuboid = length*width*height

volume of cuboid 1 = 12 * 2* 4

                               = 96

volume of cuboid 1 is 96 cubic inches.

volume of cuboid 2 = 12*4*1

                                = 48

Volume of the figure = 96 + 48

                              = 144 cubic inches

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Answer:

y = 8.7

Step-by-step explanation:

Assuming we can use decimal places, y is equal to 8.7.

In programming, += is often used as a substitute for y = y + x (example)

Therefore, y = y + 3.7, and since y = 5, y = 5 + 3.7, y = 8.7

The Poisson distribution is well suited to model the occurrence of rare events, such as earthquakes of magnitude 7 or higher in the Greater California region. By using the Poisson distribution, we can determine the probabilities of at least one earthquake happening in the next year, next 10 years, next 20 years, and next 30 years.

We are given that an earthquake of magnitude 7 or higher occurs on average every 13 years. This information allows us to determine the average rate of occurrence, which is λ = 1/13 per year.

The Poisson distribution is defined by the equation P(X = k) = (e^(-λ) × λ^k) / k!, where P(X = k) is the probability of k events occurring, λ is the average rate of occurrence, and k is the number of events.

To calculate the probability of at least one earthquake occurring, we need to find the complement of the probability of zero earthquakes occurring. The complement of an event is equal to 1 minus the probability of the event not occurring.

Let's calculate the probabilities for each time frame:

Next year (1 year): λ = 1/13 earthquakes per year.

P(at least one earthquake in the next year) = 1 - P(no earthquake in the next year) = 1 - P(X = 0) = 1 - (e^(-1/13) × (1/13)⁰) / 0! = 1 - e^(-1/13).

Next 10 years (10 years): λ = (1/13) × 10 earthquakes in 10 years.

P(at least one earthquake in the next 10 years) = 1 - P(no earthquake in the next 10 years) = 1 - P(X = 0) = 1 - (e^(-10/13) × (10/13)⁰) / 0! = 1 - e^(-10/13).

Next 20 years (20 years): λ = (1/13) × 20 earthquakes in 20 years.

P(at least one earthquake in the next 20 years) = 1 - P(no earthquake in the next 20 years) = 1 - P(X = 0) = 1 - (e^(-20/13) × (20/13)⁰) / 0! = 1 - e^(-20/13).

Next 30 years (30 years): λ = (1/13) × 30 earthquakes in 30 years.

P(at least one earthquake in the next 30 years) = 1 - P(no earthquake in the next 30 years) = 1 - P(X = 0) = 1 - (e^(-30/13) × (30/13)⁰) / 0! = 1 - e^(-30/13).

Therefore, using the Poisson distribution, we can calculate the probabilities of at least one earthquake occurring in the next year, next 10 years, next 20 years, and next 30 years.

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Linear functions are those whose graph is a straight line.

If you have a table to look at instead of a graph, you should look at the rate of change. If the rate of change in the input to the rate of change in the output is the same at all points in the table, the table represents a linear function. Linear functions have a straight line as their graph. There is one independent variable and one dependent variable in a linear function. X is the independent variable, while y is the dependent variable.

Check to verify if the function has a constant rate of change to determine whether it is linear or nonlinear.

Choose any two rows from the database and compute the rate of change between them.

Now choose a different

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Answer:

1.24

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

Answer:

most likely the last choice

Step-by-step explanation:

Answer: during evaporation

Step-by-step explanation: the sun heats up the water which caused it to evaporate

Answer: not spend anything

Step-by-step explanation:

not spend anything :) YOUR WELCOME

Step-by-step explanation:

1. The formula is 18x3 since there is 3 equal area sides. The volume is 54 (probably)

2. The formula for the pyramid is 3x3x2/3. Which the volume is 6.

3. Same thing the volume is 60 and what i did to get that is 20x3

Hope this helps!

Answer:

Given : A=(1,2)≡(x  

1 ,y  

1

​

) and B=(3,−2)≡(x  

2

​

,y  

2

​

)

Let M=(x,y) be the midpoint of AB

x=(  

2

x  

1

​

+x  

2

​

​

) and  y=(  

2

y  

1

​

+y  

2

​

​

)

Then, x=  

2

1+3

​

and y=  

2

2−2

​

⟹x=2 and y=0

∴M=(2,0)

∴ Coordinates of the midpoint of AB is (2,0)

Step-by-step explanation:

Answer:

a number line or something like this

Answer:

3/5?

Step-by-step explanation:

Answer:

6/10?

Step-by-step explanation:

Given the word problem, we can deduce the following information:

1. The ratio of the two complementary angles is 3:7.

To determine the measures of both angles, we must note first that complementary angles are two angles whose measures add up to 90°. So our equation would be:

We simplify the equation above:

We plug in x=9 into 3x to get the first angle:

Angle 1 = 3x = 3(9) = 27

Then, we plug in x=9 into 7x to get Angle 2:

Angle 2= 7x=7(9)=63

Therefore, the measures of both angles are 27° and 63°.

To find the volume of a triangular prism with a right angle, multiply the area of the base triangle by the height of the prism.

Start with a triangular prism that has a right angle. The base of the prism is a right-angled triangle.

Measure the lengths of the two perpendicular sides of the right-angled triangle, which are typically referred to as the base (b) and the height (h) of the triangle.

Calculate the area of the base triangle using the formula: Area = (1/2) * base * height.

Measure the height (H) of the prism, which is the perpendicular distance between the two parallel bases.

Multiply the area of the base triangle by the height of the prism to find the volume:

Volume = Base Area * Height = (1/2) * base * height * H.

If the dimensions are given in different units, make sure to convert them to the same unit before performing the calculations.

The volume of a triangular prism with a right angle can be found by multiplying the area of the base triangle by the height of the prism. Ensure that the base dimensions and the height are measured accurately and in the same unit.

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