a basketball team's players were successful on $50\%$ of their two-point shots and $40\%$ of their three-point shots, which resulted in 54 points. they attempted $50\%$ more two-point shots than three-point shots. how many three-point shots did they attempt?

The first option, A BC^2 - AB^2 = AC^2, is true. This is a special case of the Pythagorean Theorem, which states that for a right triangle, the sum of the squares of the two shorter sides (A and B) is equal to the square of the longest side (C). In this case, BC^2 - AB^2 = AC^2.

The first option, A BC^2 - AB^2 = AC^2, is true. This special case of the Pythagorean Theorem states that for any right triangle, the sum of the squares of the two shorter sides (A and B) is equal to the square of the longest side (C). In other words, BC^2 - AB^2 = AC^2. This theorem has been used for centuries by mathematicians and builders, as it is a reliable way to measure and construct the sides of a triangle. The theorem is also useful in applications such as computer graphics, where it is used to calculate the dimensions of a triangle on a two-dimensional plane. By understanding the principles of the Pythagorean Theorem, one can accurately measure and construct triangles of any size and shape.

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The first option, A BC^2 - AB^2 = AC^2, is true. This is a special case of the Pythagorean Theorem, which states that for a right triangle, the sum of the squares of the two shorter sides (A and B) is equal to the square of the longest side (C). In this case, BC^2 - AB^2 = AC^2.

The first option, A BC^2 - AB^2 = AC^2, is true. This special case of the Pythagorean Theorem states that for any right triangle, the sum of the squares of the two shorter sides (A and B) is equal to the square of the longest side (C). In other words, BC^2 - AB^2 = AC^2. This theorem has been used for centuries by mathematicians and builders, as it is a reliable way to measure and construct the sides of a triangle. The theorem is also useful in applications such as computer graphics, where it is used to calculate the dimensions of a triangle on a two-dimensional plane. By understanding the principles of the Pythagorean Theorem, one can accurately measure and construct triangles of any size and shape.

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Using the concept of a linear function, the slope which is the cost of each lesson is $28

A linear function is an equation that describes a straight line. It takes the form of y = mx + b, where m is the slope of the line and b is the y-intercept. A linear function can be used to represent a variety of relationships between two variables. Sometimes, a linear function can also be said to be a linear equation which is an equation that can be written in the form Ax + By = C, where A, B, and C are constants and x and y are variables. Linear equations are used to describe relationships between two variables, and they can be used to solve a wide range of problems.

In this problem, we can determine how much he paid for each of the classes.

Using y = mx + b

175 = m(5) + 35

175 = 5m + 35

5m = 175 - 35

5m = 140

m = 28

The cost of each lesson is $28

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Considering the definition of perpendicular line, the equation of the perpendicular line to the graph of 4x+3y=9 and passes through (-2,3) is y= 3/4x + 9/2.

A linear equation o line can be expressed in the form y = mx + b

where

Perpendicular lines are lines that intersect at right angles. If you multiply the slopes of two perpendicular lines, you get –1.

In this case, the line is 4x+3y=9. Expressed in the form y = mx + b, you get:

3y= 9 - 4x

y= (-4x + 9)÷ 3

y= -4/3x +3

If you multiply the slopes of two perpendicular lines, you get –1. In this case, the line has a slope of  -4/3. So:

-4/3× slope perpendicular line= -1

slope perpendicular line= (-1)÷ (-4/3)

slope perpendicular line= 3/4

The line passes through the point (-2, 3). Replacing in the expression for perpendicular line:

3= 3/4× (-2) + b

3= -3/2 + b

3 + 3/2 = b

9/2= b

Finally, the equation of the perpendicular line is y= 3/4x + 9/2.

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Answer: The purpose of this research is to explore the potential relationship between traditional religious beliefs and authoritarian tendencies. We are administering a questionnaire that will measure your views on various topics and ask about your religious beliefs. It is important to note that this research is not intended to judge or stereotype individuals based on their religious beliefs, but rather to gain a better understanding of how these beliefs may be related to certain personality traits. Your participation in this study is completely voluntary and your responses will be kept confidential. We understand that some of the questions may be sensitive in nature, and we want to assure you that your personal beliefs will not be used in any negative way. Your participation in this research will help us to better understand the relationship between religious beliefs and personality traits, and will contribute to the field of psychology.

Answer:

6

Step-by-step explanation:

Answer: 15% of 40 is 6.

Let's find 15% of 40.

Explanation:

15% of 40 can be written as 15% × 40

= 15/100 × 40

= 6

Thus, 15% of 40 is 6.

Answer:28

Step-by-step explanation:

Answer:

5 1/2 units

Step-by-step explanation:

area = 4 1/8 units²

width = =3/4 units

Assume shape is rectangle.

area = length × width

length = area/width

length = 4 1/8 units² ÷ 3/4 units

length = 33/8 units² × 4/3 units

length = 33/2 units² × 1/3 units

length = 33/6 units

length = 11/5 units

length = 5 1/2 units

Answer:

Ladder reaches the height of 12 m.

Step-by-step explanation:

Now we have to,

→ find the height the ladder reaches.

Formula we use,

→ Pythagoras theorem

Forming the equation,

→ 9² + x² = 15²

Now required value of x will be,

→ 9² + x² = 15²

→ 81 + x² = 225

→ x² = 225 - 81

→ x² = 144

→ x = √(144)

→ [ x = 12 ]

Hence, ladder reaches 12 meters.

Vertical and horizontal asymptotes are the two different forms of asymptotes. In order to help us comprehend the horizontal asymptotes fully, we provide an example. We just assess the function's limit as it approaches infinity and again as it approaches negative infinity to discover horizontal asymptotes.

the equation  limx→cf(x)=L , both  c  and  L  were numbers. In this section we relax that definition a bit by considering situations when it makes sense to let  c  and/or  L  be "infinity.''

consider  f(x)=1/x2 , as shown in Figure 1.30. Note how, as  x  approaches 0,  f(x)  grows very, very large. It seems appropriate, and descriptive, to state that

[tex]\lim_{x \to \infty} \frac{1}{x^{2} }[/tex]

If the limit of  f(x)  as  x  approaches  c  from either the left or right (or both) is  ∞  or  −∞ , we say the function has a vertical asymptote at  c .

When a rational function has a Vertical asymptote at  x=c , we can conclude that the denominator is 0 at  x=c . However, just because the denominator is 0 at a certain point does not mean there is a vertical asymptote there. For instance,  f(x)=(x2−1)/(x−1)  does not have a vertical asymptote at  x=1 , . While the denominator does get small near  x=1 , the numerator gets small too, matching the denominator step for step. In fact, factoring the numerator, we get

f(x)=(x−1)(x+1)/x−1.

If either limxf(x)=L or limxf(x)=L, then a function f(x) will have a horizontal asymptote of the form y=L.

Because "x" approaches to infinity and negative infinity, we must thus determine the limit value.

Take the formula f(x)=3x+7/2x5 as an example.

Now that "x" approaches to infinity, we must first determine the limit value.

In other words, [tex]\lim_{x\to \infty}f(x)[/tex]= [tex]\lim_{x\to \infty} \frac{3x+7}{2x-5}[/tex]

Using 'x' as the common denominator and numerator, we obtain

= [tex]\lim_{n \to \infty} \frac{x(3+\frac{7}{x} )}{x(2-\frac{5}{x} )}[/tex]

=[tex]\lim_{x \to \infty} \frac{(3+\frac{7}{x} )}{(2-\frac{5}{x} )}[/tex]

putting the cap on. As x → ∞, we will have 7/x → 0 and 5/x→0, giving us =3/2.

In other words, [tex]\lim_{x \to \infty} f(x)[/tex] = 3/2

Similarly, when "x" approaches toward negative infinity, calculate the limit value.

In other words,[tex]\lim_{x \to \infty} f(x)[/tex] = [tex]\lim_{n \to -\infty} \frac{3x+7}{2x-5}[/tex]

Applying the limit,

we get = [tex]\lim_{x \to -\infty} \frac{x(3+\frac{7}{x} )}{x(2-\frac{5}{x} )}[/tex]

           =[tex]\lim_{x \to -\infty} \frac{(3+\frac{7}{x} )}{(2-\frac{5}{x} )}[/tex]

by taking the 'x' common to the numerator and denominator. As x, we will have 7/x→ 0 and 5/x→ 0; this gives us 3/2.

i.e., [tex]\lim_{x\to- \infty}f(x)[/tex]  = 3/2

Therefore, the function has horizontal asymptote at y=3/2

There is just one horizontal asymptote for this function because the two limits were the same. Since asymptotes are lines, equations rather than merely numbers are used to describe them. There can only be two horizontal asymptotes in a function, one in each direction. When 'x' approaches any constant value 'c,' parallel to the y-axis, this is known as the vertical asymptote. The x-axis is parallel to flat lines known as horizontal asymptotes.

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Refer to the attached image.

The slope of a line perpendicular to the line with an equation of 3x − 6y = 90 is -2.

The slope - intercept form is expressed as;

y = mx + b

Where m is slope and b is the y-intercept.

Given the equation in the question;

3x − 6y = 90

First, rewrite in slope intercept form.

3x − 6y = 90

-6y = -3x + 90

6y = 3x - 90

y = (3/6)x - 90/60

y = (1/2)x - 15

Using the slope intercept, slope m is 1/2

Now, the equation of a perpendicular line to y = (1/2)x - 15 must have a slope that is the negative reciprocal of the original slope.

Hence,

Slope of perpendicular line = -1 / ( 1/2 )

Slope of perpendicular line = -2

Therefore, the slope of the perpendicular line is -2.

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Answer:

The three sides 9 in, 12 in, and 15 do represent a right triangle.

Step-by-step explanation:

Hope it helps!

Mathematically, a line is a group of infinite points. In another word, a line expands endlessly in both directions. It is a one-dimensional figure with no limit, both to the left and to the right.

Types of lines: There are various types of lines used in everyday life.

1) Curved Lines: A line that is not straight is a curved line. If a point does not proceed in one direction, get a curve.

2) Straight Lines: The shortest line joining any two points is a straight line.

3) Horizontal Lines: A horizontal line is a line that passes from left to right in a straight line.

4)Vertical Lines: Vertical lines move up and down from top to bottom or bottom to up.

5) Parallel Lines: In geometry, parallel lines can be determined as two lines in the same plane that are at an equal distance from each other and never meet.

6) Intersecting Lines: When two or more lines cross each other in a plane, they are called intersecting lines. The intersecting lines share an ordinary point, which lies on all the intersecting lines.

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The total cost of the materials is $79.5x

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

Side length = x

Number of sections = 30

Perimeter = 30x

Crown moulding = $2.65 per foot,

The total cost of the materials is then calculated as

Total cost = Crown moulding * Perimeter

Substitute the known values in the above equation, so, we have the following representation

Total cost = 2.65 * 30x

Evaluate

Total cost = 79.5x

Hence, the total cost is $79.5x

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Approximately 47.72% of phones have a battery life of between 4.5 and 5.25 hours.

To determine the percentage of phones with a battery life between 4.5 hours and 5.25 hours, we need to find the area under the normal curve between those two points.

To do this, we can standardize the lower and upper limits of the range and use a table of the normal distribution to find the area.

The lower limit of the range, 4.5 hours, is 0.25 hours less than the mean of 5 hours. Since the standard deviation is 15 minutes, which is equal to 0.25 hours, the lower limit is 0.25 standard deviations below the mean.

The upper limit of the range, 5.25 hours, is 0.25 hours more than the mean of 5 hours. Since the standard deviation is 15 minutes, which is equal to 0.25 hours, the upper limit is 0.25 standard deviations above the mean.

The area under the normal curve between the lower and upper limits is therefore the area under the normal curve between -0.25 and 0.25 standard deviations.

Using a table of the normal distribution, we find that the area under the normal curve between -0.25 and 0.25 is approximately 0.4772.

Thus, about 47.72% of phones have a battery life between 4.5 hours and 5.25 hours.

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The kind of triangle does the Third Angle Theorem work on include all Triangles that have sum of 180°.

The Third Angle Theorem states that if in a triangle, one angle is known, the other two angles can be determined. So, this theorem works on any triangle, regardless of its shape or size. As long as the triangle has three angles, the theorem can be applied.

It states that the sum of the three angles in a triangle is always 180 degrees. So if you know the measure of one angle, you can use the theorem to find the measure of the other two angles by subtracting the measure of the known angle from 180 degrees.

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Answer:

Step-by-step explanation:

Fraction: 3/10 decimal: 0.30

Answer:

Fraction: 3/10; Decimal: 0.3

Step-by-step explanation:

A). When trying to find the fraction of percent, the denominator is always 100 since the word percent itself states "per-cent," meaning per 100 as a cent can go up to a maximum of 100 before being converted into a dollar. Therefore, the fraction then becomes 30/100, however, we need to simplify it as stated by the question and we can easily do that by canceling out one zero on the numerator and the denominator, giving us the simplified fraction of 3/10.

B). Now, to find the decimal, we just have to divide the numerator by the denominator and dividing 3 by 10 gives us a decimal of 0.3. This decimal has already been rounded to the nearest hundredth since it is in the tenths place, so thus, there is a continuation of zeroes after the 3 infinitely. Therefore, the decimal rounded to the nearest hundredth is 0.3.

Hope this helped!  :D

Line segment AB is a straight line connecting two distinct points, A and B, on a plane. It has a start point (A) and an endpoint (B) and can be measured by its length.

Line segment AB is a straight line that connects two distinct points, A and B, on a plane. It is the shortest distance between two points, and is always a straight line. A line segment can be measured by its length, which is the distance between its start point (A) and its endpoint (B). It can also be measured by its midpoint, which is the point on the line that is equidistant from both A and B. Line segments can be used to create many different shapes and figures, such as triangles and polygons. Line segments can also be used to measure distances on a map, or to illustrate a path from one location to another. Line segment AB can be used to represent any two points on a plane, and is a fundamental building block of geometry.

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The tomato plant population was likely homogenous, meaning that all the plants were genetically identical and therefore more susceptible to the same disease.

1. A plant nursery only grew one type of tomato.

2. All of their tomatoes died from the same disease.

3. Therefore, the tomato plant population was likely homogenous, meaning that all the plants were genetically identical and therefore more susceptible to the same disease.

The plant nursery only grew one type of tomato and all of the tomatoes died from the same disease. This suggests that the tomato plant population was likely homogenous, meaning that all of the plants were genetically identical. This homogeneity made them more susceptible to the same disease, as all of the plants would have been affected by the same pathogens and environmental conditions. Furthermore, the same genetic makeup of the tomato plants would have made them unable to resist the disease. This lack of genetic variation within the population likely led to the death of all of the tomatoes.

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The most likely true statement to represent the population of the tomato plantation died with the same disease is given by option d. they had very little variation in the tomato plants genes.

As given in the question,

Type of tomato plants grew by a plant nursery = one or same type

Given condition of the plant infected by the disease is :

All the tomatoes plant planted by nursery died that is also from same disease.

Explanation of all options:

a. If they had resistance to disease many of the plants could survive.

False statement.

b. Few of the tomato plant resistant to the disease then few of the plants among the given plants may survive for few days.

False statement.

c. Variation is very high in their genes then plants will not infected by the same disease at the same time.

False statement.

d. Little variation in the genes of the plants.

Due to little variation all the plants get infected by the same disease and died.

True statement.

Therefore, the most likely true statement for the tomato plantation disease is given by option d. the tomato plants had little variation in their genes.

The above question is incomplete , the complete question is :

A plant nursery only grew one type of tomato plant. All of their tomato plants died from the same disease. What was most likely true of the tomato plant population?

a) They had a lot of resistance to disease.

b) They had a few plants that were resistant to the disease.

c) They had too much variation in their genes.

d) They had little variation in their genes.

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The possible combinations of the number of female and male Mega-Flies the Mega-Spider needs to catch are 17 female Mega-Flies and 3 male Mega-Flies.

This sounds like a math problem related to division. If the Mega-Spider needs to eat 140 Mega-Fly legs each day, and we know that each Mega-Fly has a certain number of legs, we can use division to figure out how many Mega-Flies the spider would need to catch in order to consume that many legs.

Let's call the number of legs per Mega-Fly "x".

If we assume that the female Mega-Flies have 8 legs and male Mega-Flies have 3 legs, we can use this information to set up the equation:

140 Mega-Fly legs = n × 8 legs + m × 3 legs

Where n is the number of Female Mega-Fly legs and m is the number of Male Mega-Fly legs.

To find all the possibilities, we can divide 140 by 8, and then divide the remainder by 3. We can also use the modulo operator which will give us the remainder in the division.

The number of Female Mega-Flies needed = 140/8 = 17.5

The number of Male Mega-Flies needed = (140%8) /3 = 3.73 (as this is a remainder this would not make sense)

So, the possible combinations of the number of female and male Mega-Flies the Mega-Spider needs to catch are 17 female Mega-Flies and 3 male Mega-Flies.

As Mega-Flies can not have fractional legs in reality so this dream problem doesn't make sense. It is a product of your mind during sleep and it is normal to have an unrealistic dream.

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A function is defined as a relation that assigns exactly one output to each input. Since each input in this set is paired with exactly one output, the set is a function.

A. (1,2), (3,4), (5,6)

Yes, this set of ordered pairs is a function. A function is defined as a relation that assigns exactly one output to each input. Since each input in this set is paired with exactly one output, the set is a function.

B. (1,2), (2,4), (3,6)Yes, this set of ordered pairs is a function. A function is defined as a relation that assigns exactly one output to each input. Since each input in this set is paired with exactly one output, the set is a function.

The key features of a function include: (1) It is a relation that assigns exactly one output to each input; (2) The input values must be distinct from each other (no repeated values); (3) The output values can be the same as one another (so there can be repeated values); and (4) It has a domain (set of input values) and a range (set of output values).

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Answer: 57

Step-by-step explanation:

Based on the quantity equation, if m = 8,000, p = 3, and y = 12,000, then v = 0.22

B. The Quantity Equation is a relationship between the money supply (m), the price level (p), and the level of economic activity (y), represented as m = py.

In this case, since we know that m = 8,000, p = 3, and y = 12,000, we can use this equation to solve for v. By dividing both sides of the equation by y, we get m/y = pv. Now we know m/y=8,000/12,000=0.66, and p=3, so we can solve for v by dividing m/y by p, which results in v=0.66/3=0.22 (when rounded) .

This means that the velocity of money (v) is .22, it means that each unit of money is used 0.22 times per year to purchase goods and services.

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Almost 21 people are on each bus.

Division is the process of splitting a number or an amount into equal parts.

Here, given that,

There are 4 classes with 23 students and 3 adults in each class.

i.e. total student in each class= (23+3)=26

So, total student = 26*4= 104

They will take 5 buses with an equal number of people on each bus.

Then, each bus will have people = 104/5

                                                       ≈21

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The only equations that are true using basic mathematical operations are; Options A and C

Option A: 24.8 ÷ 10² = 0.248

The left hand side can be simplified to 24.8/100 = 0.248

This is equivalent to the right hand side and is true.

Option B: 34.65 ÷ 1,000 = 0.3465

The left hand side can be simplified to 34.65/1,000 = 0.03465

This is not equivalent to the right hand side and is not true.

Option C: 193.5 ÷ 10⁰ = 193 . 5

The left hand side can be simplified to 193.5/10⁰ = 193.5

This is equivalent to the right hand side and is true.

Option D: 6.24 ÷ 10 = 62 . 4

The left hand side can be simplified to  6.24/10 = 0.624

This is not equivalent to the right hand side and is not true.

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The value of both the numbers are 100 and 41. using elimination methord.

A finite collection of equations for which common solutions are sought is referred to as a set of simultaneous equations, often known as a system of equations or an equation system.

Simultaneous equations, system of equations , Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.

To create an equation in one variable using the elimination approach, you may either add or subtract the equations. To remove a variable, add the equations when the coefficients of one variable are in opposition, and subtract the equations when the coefficients of one variable are in equality.

Let the numbers be x and y.

As per sum

x - y = 59

x + y = 141

Adding both equation

2x = 200

x = 100

Now x-y = 59

x - y  =100-59 = 41 = y

The value of both the numbers are 100 and 41. using elimination methord.

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Answer:

20 + 30 + 15 + x < 150

Sandra has $75 left to spend.

Step-by-step explanation:

To find the amount of money Sandra has left to spend, you can use the inequality:

20 + 30 + 15 + x < 150

This inequality states that the total cost of the toiletries, meat, produce, and any other items she buys must be less than $150.

To solve for x, the amount of money Sandra has left to spend, you can start by combining like terms on the left-hand side of the inequality:

20 + 30 + 15 + x = 150 - 20 - 30 - 15

x = 75

So, Sandra has $75 left to spend.

The amount of time that it would take Jordan to be able to complete the go cart is 5. 5 weeks

It would be best to convert the mixed fractions to decimals, for easier calculations.

85 1/5 hours :

= 85 + 1/5

= 85 + 0.2

= 85 .2 hours

15 1/2 hours :

= 15 + 1 / 2

= 15 + 0.5

= 15.5 hours

If it takes 85.2 hours to make the go cart and 15 .5 hours is what Jordan can complete per week, the number of weeks it would take is :

= 85 . 2 / 15. 5

= 5. 5 weeks

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Answer:

it's 290

Step-by-step explanation:

[tex] \frac{290}{29} + 156[/tex]

[tex]10 + 156 = 166[/tex]