To win a basketball game, one team scored 102 points. They made a total of 45 two-pointers and three-pointers. How many of the baskets were worth 2 points, and how many were 3 pointers?

Answer:

proceeds to scroll on iphone

Solution

The given apothem is 10.5cm

The area the circle will be calculate as

Therefore the area of the circle is:

Answer:

3

Step-by-step explanation:

The equation for slope is (y2-y1)/(x2-x1)

We have (0, -6) as our x1 and y1 and (2,0) as our y1 and y2. So now it's plug and play!

=(0-(-6))/(2-0)

=(0+6)/(2-0)

=(6)/(2)

Simplifying this we get 3/1 or in simple terms... 3

Answer:

is it I

im not sure sorry

but i think is I.4

Answer:

Its I.4

Step-by-step explanation:

the other person is right

Answer:

C

The line is from -3 to 3 and the circles are closed

The answer is true. A random variable is a variable whose value is subject to variations due to chance. The variance of a random variable measures how spread out its values are.

It is a measure of the average distance between the values of the variable and its expected value. In this case, V(cX) represents the variance of a new random variable obtained by multiplying X by a constant c. According to the properties of variance, V(cX) = c^2 V(X). Therefore, the equation V(cX) = 4V(X) can be rewritten as c^2 V(X) = 4V(X).
Dividing both sides of the equation by V(X), we get c^2 = 4. Taking the square root of both sides, we obtain c = 2 or c = -2. However, since c represents a scaling factor, we can disregard the negative solution. Therefore, c must be 2.
In conclusion, if V(cX) = 4V(X), then c must be 2. This result shows that multiplying a random variable by a constant affects its variance by the square of that constant.

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To find the measure of angle BCD, we need to determine the measure of angle BCA first.

In a regular 20-gon, the sum of the interior angles is given by the formula: (n-2) * 180 degrees, where n is the number of sides of the polygon. So, in a 20-gon, the sum of the interior angles is (20-2) * 180 = 3240 degrees.

Since the 20-gon is regular, each interior angle has the same measure. Therefore, each interior angle of the 20-gon measures 3240 degrees / 20 = 162 degrees.

Angle BCA is one of the interior angles of the 20-gon, so it measures 162 degrees.

Now, in the heptagon BACD, the sum of the interior angles is given by the formula: (n-2) * 180 degrees, where n is the number of sides of the polygon. So, in a heptagon, the sum of the interior angles is (7-2) * 180 = 900 degrees.

Since the heptagon is regular, each interior angle has the same measure. Therefore, each interior angle of the heptagon measures 900 degrees / 7 = 128.571 degrees (rounded to three decimal places).

Angle BCA is one of the interior angles of the heptagon, so it measures 128.571 degrees.

Finally, angle BCD is the difference between angles BCA and BCD: angle BCD = angle BCA - angle BCD = 162 degrees - 128.571 degrees = 33.429 degrees (rounded to three decimal places).

Therefore, angle BCD measures approximately 33.429 degrees.

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Let B, A, and D be three consecutive vertices of a regular 18-gon. A regular heptagon is constructed on \(ABbar\), with a vertex C next to A. Find\(\leqBCD\) ∠\(BCD\) , in degrees.

To determine the degrees of angle BCD in this problem, we must first discover the degree of each interior angle of the 20-gon and the heptagon. Calculating these values, and subtracting them from 180, we find the measure of angle BCD equals to 69.43 degrees.

In this problem, we need to find the measure of angle BCD of a heptagon formed on a side of a regular 20-gon. We have that consecutive vertices B, A, D of 20-gon and vertex C of a heptagon formed on line segment AB is our interest point.

Since A, B, D are consecutive vertices of a regular 20-gon, we first calculate the value of each interior angle using the formula (n-2)×180/n, where n is the number of sides. So the measure of each interior angle of the 20-gon is (20-2)×180/20 = 162 degrees.

The heptagon shares one of its vertices with the 20-gon (i.e., point A). Point C is a neighboring vertex of A in this heptagon. The angles of a regular heptagon are calculated in the same way, using the formula (7-2)×180/7, which gives approximately 128.57 degrees.

Therefore, to calculate the measure of angle BCD, let's note that it equals to (180 - angle BAC) + (180 - angle CAD). Since angles BAC and CAD are parts of the 20-gon and the heptagon respectively, it will be (180 - 162) + (180 - 128.57) = 18 + 51.43 = 69.43 degrees.

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The domain of the function is {x | 2 ≤ x ≤ 8}. What is the domain of a function? A domain is the set of all possible values of x for which function f(x) has a defined value.

Given that Clara is hosting a party and knows at least 2 are coming. The party is capped at 8 guests. Let g(x) model the number of tables Clara needs to set up if x guests attend. We need to find the domain of the function. Using the given information, we can conclude that Clara cannot invite more than 8 guests, and at least 2 guests must be invited, so the domain of the function is {x | 2 ≤ x ≤ 8}. Hence, the domain of the function is {x | 2 ≤ x ≤ 8}.

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The best description of any possible triangles with the given measurements ab = 10 cm, bc = 6 cm, and angle a = 24 degrees is Case #3: There are 2 different types of triangles that can be created using those measures, indicating an ambiguous case.

To analyze the possible triangles, we need to apply the triangle inequality theorem and consider the angle measures. The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Case #3: There are 2 different types of triangles that can be created using those measures (i.e., an ambiguous case is possible).

To determine if an ambiguous case is possible, we need to consider the relationship between the given angle and the side lengths. In an ambiguous case, two different triangles can be formed using the same angle and side lengths.

To determine if this is the case, we can use the law of sines, which states that in any triangle, the ratio of the length of a side to the sine of its opposite angle is constant. Let's apply the law of sines to check if two different triangles can be formed.

sin A / a = sin B / b = sin C / c

Using the given measurements, we have:

sin A / ab = sin B / bc

sin 24° / 10 cm = sin B / 6 cm

To find the value of sin B, we can rearrange the equation:

sin B = (sin 24° / 10 cm) * 6 cm

Using a calculator, we find sin B ≈ 0.096

Since the sine function is positive in both the first and second quadrants, there are two possible values for angle B, which are approximately 5.5 degrees and 174.5 degrees. Therefore, an ambiguous case is possible, and we can form two different triangles with the given measurements. Hence, Case #3 is the best description.

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Complete Question:

ab = 10cm bc =6cm angle a=24

which case best describes any possible triangle(s) with those measures?

case #1: it is impossible to create a triangle using those measures.

case #2: there is only one unique right triangle with the right angle at vertex 'a' that can be created using those measures.

case #3: there are 2 different types of triangles that can be created using those measures. (i.e. there is an ambiguous case is possible)

case #4: there is only one unique triangle that can be created using those measures because bc > ab.

Answer:

a

Step-by-step explanation:

Answer:

4(3.30)+ 6(1.25)

Step-by-step explanation:

because you would multiply 4 and 3.30 and 6 ×1.25 :)

Answer:

= pi/3 is 12.

Step-by-step explanation:

Part A: To find the polar coordinates of the point P, we can use the conversion formulas:

x = r cos(theta)

y = r sin(theta)

We can rewrite the equation of the curve as:

x^2 + y^2 + 24x = 0

(x + 12)^2 + y^2 = 144

This is the equation of a circle with center (-12, 0) and radius 12. The point P is on this circle, with coordinates (-12, 12). To convert these Cartesian coordinates to polar coordinates, we can use:

r = sqrt(x^2 + y^2)

theta = arctan(y/x)

Substituting the coordinates of P, we get:

r = sqrt((-12)^2 + 12^2) = 12 sqrt(2)

theta = arctan(12/-12) = -pi/4 (since P is in the second quadrant)

Therefore, the polar coordinates of P are (r, theta) = (12 sqrt(2), -pi/4).

Part B: To find the polar form of the equation, we can first complete the square to rewrite it as:

x^2 + y^2 + 24x = 0

(x + 12)^2 - 144 + y^2 = 0

(x + 12)^2 + y^2 = 144

This is the equation of a circle with center (-12, 0) and radius 12, in Cartesian form. To convert this to polar form, we can use the conversion formulas:

x = r cos(theta)

y = r sin(theta)

Substituting and simplifying, we get:

(r cos(theta) + 12)^2 + (r sin(theta))^2 = 144

r^2 + 24r cos(theta) = 0

r = -24 cos(theta)

Therefore, the polar form of the equation is r = -24 cos(theta). This is the equation of a cardioid, a type of polar curve with a cusp at the origin.

Part C: To find the distance from the origin when theta = pi/3, we can substitute this value into the polar form:

r = -24 cos(pi/3) = -12

However, distance is always non-negative, so we take the absolute value to get:

| r | = 12

Therefore, the distance from the origin when theta = pi/3 is 12.

(Refrence to Chatgpts work)

Answer:

Step-by-step explanation:

Part A: To convert from rectangular coordinates to polar coordinates, we use the formulas:

r^2 = x^2 + y^2

tan(theta) = y/x

We can rewrite the equation of the curve as:

x^2 + 24x + y^2 = 0

Completing the square in x, we get:

(x + 12)^2 + y^2 = 144

So, r^2 = 144 and r = 12. To find theta, we use the formula:

tan(theta) = y/x

tan(theta) = 12/(-12)

theta = atan(-1) + pi

So, the polar coordinates of P are (12, 5pi/4).

Part B: To convert the equation to polar form, we use the formulas:

x = r cos(theta)

y = r sin(theta)

Substituting these into the equation of the curve, we get:

r^2 + 24r cos(theta) = 0

r = -24 cos(theta)

This is the polar form of the equation. This is a circle centered at (-12, 0) with radius 12.

Part C: To find the distance when theta = pi/3, we substitute this value into the polar equation:

r = -24 cos(pi/3)

r = -12

So, the distance is 12.

The 'e' value of 6e12 means 6 x 10^12, which is equal to 6000000000000. It is a scientific notation used to represent a very large number.

The 'e' value of 6e12 is a scientific notation used to represent a very large number. 6e12 is shorthand for 6 x 10^12, which means 6 multiplied by 10 to the power of 12. To calculate the value of 6e12, first note that 10 to the power of 12 is equal to 1000000000000. Then, multiply 6 by 1000000000000 to get 6000000000000. Therefore, 6e12 is equal to 6000000000000. This notation is commonly used to represent very large numbers without having to write out all of the zeros. It is also useful when dealing with large numbers in scientific calculations.

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Answer:

8/25 simplified

Step-by-step explanation:

The characteristics of a linear function that has a slope of 0 is a horizontal line that passes through the y-axis at y= b

A linear equation is given as:

y = mx + b

Where m represents the slope of the linear equation.

When the value of  is 0

i.e. m = 0, the equation becomes

y = 0 *x + b

Evaluate

y= b

The above equation is a horizontal line that passes through the y-axis at y= b

Hence, the characteristics of a linear function that has a slope of 0 is a horizontal line that passes through the y-axis at y= b

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Answer:

Below

Step-by-step explanation:

4 [x-3] + 2    = y    is not discontinuous anywhere

However    4 / [x-3]  + 2   DOES have a discontinuity at x = 3 because this would cause the denominator to be zero <===NOT allowed !!

The probability P(X=2, Y+Z ≤ 3) is 13. Random variables are variables in probability theory that represent the outcomes of a random experiment or event.

To find the probability P(X=2, Y+Z ≤ 3), we need to sum up the joint probabilities of all possible combinations of X=2, Y, and Z that satisfy the condition Y+Z ≤ 3.

Step 1: List all the possible combinations of X=2, Y, and Z that satisfy Y+Z ≤ 3:

X=2, Y=1, Z=1

X=2, Y=1, Z=2

X=2, Y=2, Z=1

Step 2: Calculate the joint probability for each combination:

For X=2, Y=1, Z=1:

f(2, 1, 1) = (2+1) * 1 = 3

For X=2, Y=1, Z=2:

f(2, 1, 2) = (2+1) * 2 = 6

For X=2, Y=2, Z=1:

f(2, 2, 1) = (2+2) * 1 = 4

Step 3: Sum up the joint probabilities:

P(X=2, Y+Z ≤ 3) = f(2, 1, 1) + f(2, 1, 2) + f(2, 2, 1) = 3 + 6 + 4 = 13

They assign numerical values to the possible outcomes of an experiment, allowing us to analyze and quantify the probabilities associated with different outcomes.

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Absolute value represents how far you are from zero on the number line.

Examples:

The output of an absolute value function is never negative. Negative distance does not make sense. Therefore, we have no way to reach an output of -7. This is why we have no solutions here.

it is likely to be one of the answer choices provided, based on the overall sample size and distribution of distracted individuals across age groups.

The chi-squared component is a statistical value used to measure the degree of association between two categorical variables. In this case, we are looking for the chi-squared component for 20-29 year olds who were distracted by their cell phones.
To calculate the chi-squared component, we need to have data on the frequency of distracted 20-29 year olds and the expected frequency based on the overall sample size and the distribution of distracted individuals across age groups.
Assuming we have this data, we can use the chi-squared formula to calculate the component for this specific age group. The formula is:
chi-squared component = (observed frequency - expected frequency)^2 / expected frequency
For example, if the observed frequency of distracted 20-29 year olds is 50 and the expected frequency is 40 based on the overall distribution, the chi-squared component would be:
(50 - 40)^2 / 40 = 2.5
This value would be compared to a chi-squared distribution table to determine its statistical significance.
Without knowing the specific data for this study, we cannot provide an exact answer for the chi-squared component for 20-29 year olds who were distracted by their cell phones. However, it is likely to be one of the answer choices provided, based on the overall sample size and distribution of distracted individuals across age groups.

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Answer:

last option

Step-by-step explanation:

Basically, every 1 cm is 8 / 2 = 4 feet so the width is 4 * 4 = 16 and the length is 6 * 4 = 24.

Answer:

option D

Step-by-step explanation:

Given the information on the picture, we have the following for the values of -2,-1 and 3:

First, if x = -2, notice that we have the following:

then, we have the first case of the function:

next, if x = -1, notice that -2 < -1 < 1, then, we have the second case:

finally, for x = 3, we have that 3 is greater or equal than 1, then, we apply the third case:

therefore, we have that:

g(-2) = 3

g(-1) = -2

g(3) = -7/2

Answer: 2x-y=0

Step-by-step explanation:

y=2x

-2x -2x

-1(-2x+y=0)

2x-y=0

(a)  The probability of the with replacement is 3/80.

(b) The probability of the without replacement is 15/380.

Two cards are selected at random Of a deck of 20 cards ranging from 1 to 5 with monkeys, frogs, lions, and birds on them all numbered 1 through 5 .

a) with replacement.

5/20 * 3/20 = 3/80.

b) without replacement.

5/20 3/19 = 15/380.

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(a) To determine the values of x where the function \(f(x)\) is continuous, we need to examine the points where the function changes its definition.

For f(x) to be continuous at a particular point, the left-hand limit and right-hand limit of f(x) at that point should exist and be equal, and the function value at that point should also match the limit.

Let's consider the points where the function changes its definition:

1. At x = 0: The function f(x) has different definitions for x < 0 and x ≥ 0. However, at x = 0, both definitions coincide. We have f(0) = 0² - 0 = 0. Therefore, f(x) is continuous at x = 0.

2. For x < 0: The function f(x) is defined as f(x) = -x² + 1. This is a polynomial function, which is continuous for all x-values.

3. For x ≥ 0: The function f(x) is defined as f(x) = x² - x. This is also a polynomial function, which is continuous for all x-values.

Therefore, the function f(x) is continuous for all values of x.

(b) Since the function f(x) is continuous for all x-values, it does not have any discontinuities.

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Answer:

the answer is f(x)=2x+192

Answer:

The answer is F(x)=2x+192

Answer:

The answer is 5

shdhejrjejsn when heuejwkwudheje

Answer:

The answer to your question is x= −3 or it can be x=3

Steps of solving

The first step we have to do to solve this equation is to Factor left side of our equation

(x+3)(x−3)(x^2+10)=0

The second step that we would have to do would be Setting the factors that equal to 0.

You can go with any of these

x+3=0, x−3=0 or you can lastly go with x^2+10=0

And that's how you would get your answer : x= −3 or x=3

Answer:

\(12xy-20xz\)

Step-by-step explanation:

The main answer to this question is that there could be several reasons why an experiment may not produce significant results even if the research hypothesis is true.

One possible explanation could be that the sample size used in the experiment was too small, which could have resulted in insufficient statistical power to detect the true effect of the independent variable on the dependent variable. Another explanation could be that there were extraneous variables that were not controlled for in the experiment, which could have influenced the results and made it difficult to detect the true effect of the independent variable.

it is important to consider all possible factors that may affect the results of an experiment and to take steps to minimize their impact. This includes ensuring that the sample size is appropriate, controlling for extraneous variables, and using appropriate statistical tests to analyze the data. By doing so, researchers can increase the likelihood of obtaining significant results that accurately reflect the effects of the independent variable on the dependent variable.

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