20. Which of these do NBA players attempt much more now than players in the 1990s did?
O A. Slam dunks
O B. Mid-range shots
C. Free throws
O D. Three-point shots

Answer:

C

Step-by-step explanation:

Since its decreasing by 3 and has y-intercept of 5

The given differential equation isy=e^(-1/2 x^3 + 1/2 x)e^(1/2) = e^(1/2-1/2 x^3) y=e^(-1/2 x^3 + 1/2 x)e^(1/2) = e^(1/2-1/2 x^3)

The given differential equation is: y′+y(X^2−1)+Xy^6=0with y(1) = 1.Here, we have a linear homogeneous differential equation. The general solution of this equation is given byy=Ce^(-1/2 x^3 + 1/2 x)Where C is a constant of integration.

Using the initial condition y(1) = 1 we have, C = e^(1/2)Hence, the particular solution isy=e^(-1/2 x^3 + 1/2 x)e^(1/2) = e^(1/2-1/2 x^3)Therefore, the solution to the given differential equation isy=e^(-1/2 x^3 + 1/2 x)e^(1/2) = e^(1/2-1/2 x^3) y=e^(-1/2 x^3 + 1/2 x)e^(1/2) = e^(1/2-1/2 x^3)

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The equation of the statement is  1.2 × w = 102.

What is percentage?

A value or ratio that may be stated as a fraction of 100 is referred to in mathematics as a percentage. Divide the number by the total and multiply by 100 to find the percent of a given number. Therefore, the percentage refers to a portion per hundred. Per 100 is what the word percentage signifies. The letter "%" stands for it.

Here let us take the number as w. Then,

=> 120% of number = 102

=> 120% of w = 102

=> 120% × w = 102

=> [tex]\frac{120}{100}\times[/tex] w = 102

=> 1.2 × w = 102.

Hence the equation of the statement is  1.2 × w = 102.

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It will take 3703 square inches of paint to completely cover the table which is the surface area. Hence, option B is the best one.

It deals with the dimensions, regions, and densities of the various 2D and 3D shapes.

A cylinder may be used to represent the table's top, and rectangular prisms can be used to represent the table's legs

The cylinder's surface area will be

SA of cylinder equals 2[tex]\pi r^2[/tex] + 2[tex]\pi[/tex]rh

SA of the cylinder equals 2 [tex]\pi[/tex]([tex]18^2[/tex] + 18 x 3).

SA of the cylinder equals 2375 square inches.

therefore the prism's surface area will be

Prism SA = 4 [WL + 2(WH + LH)].

Prism's SA =4 [2 x 6 + 2 (2 x 20 + 6 x 20)]

SA of prism = 4 [12 + 2 x 160]

SA of prism = 4 [12 + 320]

SA of prism = 1328 square inches

so the table's total surface area will be

SA of the prism plus SA of the cylinder equals total surface area.

Surface area total = 1328 + 2375

3703 square inches are all of the surface.

Hence, 3703 square inches of paint will be required to completely cover the table.

Hence, choice B is the best one.

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Answer:

B. 3,703 in.²

Hope this helps!

Step-by-step explanation:

Given that, X ~ Gamma(λ, n) and X1, …, Xn are independent. We need to determine the distribution of Y = 2/λ * Σᵢ Xᵢ, using moment-generating functions.

The moment-generating function of Gamma distribution is given by: M(t) = (1 - λt)⁻ⁿ

The moment-generating function of Y can be determined as follows:

Mₓ(t) = ΠᵢMᵢ(t)

where Mᵢ(t) is the moment-generating function of Xi.

⇒ Mₓ(t) = [M(t/λ)]ⁿ * M(t/λ)

Here, M(t/λ) = (1 - t/λ)⁻ⁿ

Substitute the value of M(t/λ) in Mₓ(t),

⇒ Mₓ(t) = [(1 - t/λ)⁻ⁿ]ⁿ+¹

= (1 - t/λ)⁻²ⁿ+¹

By comparing it with the moment-generating function of Gamma(2, n) distribution, we can conclude that Y ~ Gamma(2, n).

Therefore, the distribution of Y is Gamma(2, n).

Hence, the correct option is Gamma(2, n).

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Answer: Only (1,3) I believe

Step-by-step explanation:

the critical values of f(x) are NONE. , f(x) is increasing on the interval (-INF, 6) U (6, INF). , the answer is NONE. for remaining options

(A) To find the critical values of f(x), we need to find where the derivative of f(x) is equal to zero or undefined.

Taking the derivative of f(x), we get: f'(x) = [tex]4(x-6)^{-1/3}.[/tex]

Setting f'(x) = 0, we get:[tex]4(x-6)^{-1/3} = 0,[/tex] which has no solution since a nonzero number cannot be raised to a negative power and give zero.

The function f(x) is defined for all x, so there are no values of x where f(x) is undefined.

Therefore, the critical values of f(x) are NONE.

(B) The function f(x) is increasing when its derivative is positive. From the derivative, we see that f'(x) is positive for all x ≠ 6. Therefore, f(x) is increasing on the interval (-INF, 6) U (6, INF).

(C) The function f(x) is decreasing when its derivative is negative. From the derivative, we see that f'(x) is negative for all x ≠ 6. Therefore, f(x) is decreasing on the interval (6, 6).

(D) To find the local maxima of f(x), we need to look for values of x where f'(x) changes sign from positive to negative. Since f'(x) is always negative, there are no local maxima of f(x). Thus, the answer is NONE.

(E) To find the local minima of f(x), we need to look for values of x where f'(x) changes sign from negative to positive. Since f'(x) is always negative, there are no local minima of f(x). Thus, the answer is NONE.

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The value of w in the given triangle is 55 degrees.

External angles are those that run parallel to a polygon's inner angles but are located outside of it. The sum of the two internal opposed angles determines the size of an outside angle. The exterior angles of a triangle are those that are formed outside of it. The exterior angle of a triangle is defined as the angle formed between one of a triangle's sides and its neighboring extended side. As a result, the exterior angle of a triangle is the angle formed by any extended side of a triangle and its neighboring side.

We know the exterior angle is the sum of the two interior angles.

Thus,

w - 23 + w = w + 32

2w - 23 = w + 32

2w - w = 32 + 23

w = 55

Hence, the value of w in the given triangle is 55 degrees.

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Answer:

C

Step-by-step explanation:

c's line is going downwards and has a y intercept of 10

The 10th term of the sequence is -1, which is not one of the answer choices. Therefore, the answer is (C) 1/32.

What is geometric sequence?

A geometric sequence is one where each phrase is discovered by multiplying the term before it by the same number.

The given sequence is a geometric sequence with a first term of 16 and a common ratio of -1/2. We can use the formula for the nth term of a geometric sequence to find the 10th term:

where a1 = 16, r = -1/2, and n = 10

Therefore, the 10th term of the sequence is -1, which is not one of the answer choices. Therefore, we can also express the 10th term as the negative of the absolute value of the 10th term (i.e., |-1| = 1 and -1 = -|1|).

So, the answer is (C) 1/32.

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After answering the presented question, we can conclude that As a result, the system of equations solution is (3, 35).

An equation is a mathematical statement that validates the equivalent of two expressions joined by the equal symbol '='. For instance, 2x - 5 = 13. 2x-5 and 13 are two examples of expressions. The character '=' connects the two expressions. An equation is a mathematical formula that has two algebras on each side of an assignment operator (=). It demonstrates the equivalency link between the left and middle formulas. L.H.S. = R.H.S. (left side = right side) in any formula.

Thus the first month's savings would be: (Regular price) - (Discounted price) = (151 + 20) - (101 + 5) = $20.

Part C: Using the equations from Parts A and B, we can construct the following system of equations:

Y = 10X + 5 (Discounted pricing equation) (Discounted price equation)

Y = 15X + 20 (Normal price equation) (Regular price equation)

We can solve this system by substituting one equation for the other:

10X + 5 = 15X + 20

When we simplify this equation, we get:

5X = 15

X = 3

Then we can plug X = 3 into either equation to determine the value of Y:

Y = 10(3) + 5 = 35

As a result, the system of equations solution is (3, 35).

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The correct question is -

Justin is joining a gym the gym is offering a discount on the fee to join and on the monthly rate the discounted price in dollars the gym charges can be represented by the equation Y equals 10 X +5

Part A what are the slope and the Y intercept of the equation what do the slope and y-intercept each represent in this situation ?.

Part B the regular price in dollar the gym charges can be represented by the equation Y equals 15 X +20. How much money in dollars does Justin save the first month by joining the gym at the discounted price rather than the regular price

Part C Justin create a system of equation based on the equation from part a and the equation from part B, the solution to the system of equation is (-3, -25) Why is the point (-3, ,-25) not possible solution in this solution ?

Answer: The rate of change in y-values w.r.t  x-values is -5/6.

                                                    or

               The value of slope (m) is found to be -5/6.

Step-by-step explanation:

Here, by rate of change in values of y w.r.t values in x means slope.

Given, y1 = 5, y2=-5, x1 = -3, x2 = 9.                

         i.e.  dy/dx = slope (m)

                 m = (y2 - y1 ) / ( x2-x1 )

           Therefore, dy/dx =  (y2 - y1 ) / ( x2-x1 )

                                         = (-5 - 5 ) / (9- (-3) )

                                         =  -5/6

Answer:

x(-6)

every number is multiplied by -6

3(-6)= -18

-18(-6) = 108

The 70th percentile for these sample data is 27.6 pounds.

The 70th percentile for these sample data is 27.3 pounds.

To find the 70th percentile, we first need to order the weights from smallest to largest:

20.6, 21.2, 22.5, 23.4, 24.6, 25.9, 26.5, 27.3, 28.1, 29.7, 30.8

Next, we need to find the rank of the 70th percentile. We can do this using the formula:

Rank = (percentile / 100) * (sample size + 1)

Plugging in the values for the percentile and sample size, we get:

Rank = (70 / 100) * (11 + 1) = 8.4

Since the rank is not a whole number, we need to interpolate between the two nearest ranks. In this case, the two nearest ranks are 8 and 9.

To find the 70th percentile, we can use the following formula:

70th percentile = value at rank 8 + (value at rank 9 - value at rank 8) * (rank - 8)

Plugging in the values, we get:

70th percentile = 27.3 + (28.1 - 27.3) * (8.4 - 8) = 27.3 + 0.32 = 27.62

Rounding to the nearest tenth, we get 27.6.

Therefore, the 70th percentile for these sample data is 27.6 pounds.

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The most likely marble to be chosen will be red.

Given  that,

Number of red marbles = 1/2

Number of blue marbles = 1/4

Number of green marbles = 1/6

Number of yellow marbles = 1/12

To compare the probabilities, we need to find a common denominator. The common denominator for 2, 4, 6, and 12 is 12.

Therefore,

Probability of choosing a red marble = 6/12

Probability of choosing a blue marble = 3/12

Probability of choosing a green marble = 2/12

Probability of choosing a yellow marble = 1/12

Since the highest probability is for red marble, it is most likely to be chosen.

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The maximum number of electrons in the 3d orbital, which is 10.

The quantum numbers for the 3d orbital are:

- Principal quantum number (n) = 3
- Angular momentum quantum number (l) = 2 (d orbital)
- Magnetic quantum number (m) = -2, -1, 0, 1, 2 (five possible values for the d orbital)
- Spin quantum number (s) = -1/2, 1/2 (two possible values for electrons)

The maximum number of electrons in the entire 3d shell is 10. This is because the d orbital can hold a maximum of 5 pairs of electrons (2 electrons per pair), and there are 5 possible values for the magnetic quantum number (m) in the d orbital.

In general, the maximum number of electrons in an entire shell is given by the formula 2n^2, where n is the principal quantum number. For the 3d orbital, the principal quantum number is 3, so the maximum number of electrons in the entire shell is 2(3^2) = 18. However, the question specifically asks for the maximum number of electrons in the 3d orbital, which is 10.

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The three angles of the triangle are 61°, 66°, and 63° and the area of the triangle PQR is 8.24.

To find the angles of the triangle with the given vertices, we first need to find the lengths of the sides of the triangle using the distance formula:
d = √[(x2 - x1)² + (y2 - y1)²]
For side PQ:
d = √[(0 - 1)² + (3 - 0)²] = √(1 + 9) = √10
For side QR:
d = √[(4 - 0)² + (5 - 3)²] = √(16 + 4) = √20
For side RP:
d = √[(4 - 1)² + (5 - 0)²] = √(9 + 25) = √34
Now we can use the law of cosines to find the angles:
cos A = (b² + c² - a²) / (2bc)
cos B = (a² + c² - b²) / (2ac)
cos C = (a² + b² - c²) / (2ab)
For angle RPQ:
cos A = (√20² + √34² - √10²) / (2√20√34) = 0.4857
A = cos⁻¹(0.4857) = 61°
For angle PQR:
cos B = (√10² + √34² - √20²) / (2√10√34) = 0.4082
B = cos⁻¹(0.4082) = 66°
For angle QRP:
cos C = (√10² + √20² - √34²) / (2√10√20) = 0.4472
C = cos⁻¹(0.4472) = 63°
For part (b), we can use the same distance formula to find the lengths of the sides of the triangle:
For side PQ:
d = √[(-2 - 1)² + (1 - 0)² + (4 - 1)²] = √(9 + 1 + 9) = √19
For side QR:
d = √[(4 - -2)² + (2 - 1)² + (7 - 4)²] = √(36 + 1 + 9) = √46
For side RP:
d = √[(4 - 1)² + (2 - 0)² + (7 - 1)²] = √(9 + 4 + 36) = √49 = 7
Now we can use Heron's formula to find the area of the triangle:
s = (a + b + c) / 2 = (√19 + √46 + 7) / 2 = 8.29
Area = √(s(s - a)(s - b)(s - c)) = √(8.29(8.29 - √19)(8.29 - √46)(8.29 - 7)) = 8.24
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The values of b for which the function f(x) = 5x − 4 is equal to 0 are b = 4/5.

f(x) = 5x-4

for f(x)=0, we get:

f(b) = 5b-4 = 0

5b = 4

b = 4/5

Therefore the values of b for which the function f(x) = 5x − 4 is equal to 0 are b = 4/5.

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Answer:

The mean is 30

Step-by-step explanation:

Let's call the mean of the test "μ."

We know that a score of 48 falls three standard deviations above the mean, which can be expressed mathematically as:

48 = μ + 3σ

where σ represents the standard deviation.

Similarly, we know that a score of 24 falls one standard deviation below the mean:

24 = μ - σ

Now we can use these two equations to solve for the mean, μ.

Let's start by isolating σ in the first equation:

48 = μ + 3σ

48 - μ = 3σ

σ = (48 - μ) / 3

We can substitute this expression for σ into the second equation:

24 = μ - σ

24 = μ - [(48 - μ) / 3]

Multiplying both sides by 3 to get rid of the fraction:

72 = 3μ - (48 - μ)

72 = 4μ - 48

120 = 4μ

μ = 30

Therefore, the mean of this test is 30.

The amοunt needed tο reach the gοal cοuld be represented as a fractiοn οr percentage, such as 5/5 οr 100%.

Percentage means a number οr a ratiο expressed in terms οf fractiοns οf 100. It is denοted using the percentage sign “%”. The abbreviatiοn used tο represent the percentage is “pct” οr “pc”. In οther wοrds, the percent οr the percentage is defined as hοw much οf οne quantity is made by the different quantity, and it is evaluated at abοut 100.

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Answer:

n<4

Open dot, Arrow going to left

Step-by-step explanation:

6+n is less than 10

subtract 6 from both sides, n needs to be less than 4

As for graphing, its open dot, arrow going towards left

Answer: n < 4

Subtract the 6 from 10

Answer:

(3,0)

Step-by-step explanation:

Population distribution refers to the spread of people across a given area.

Sample distribution refers to the distribution of a subset of the population.

Sampling distribution refers to the distribution of sample statistics, such as the mean or median, obtained from a number of different samples taken from the same population.

Population distribution refers to the spread of people across a given area. It is the arrangement or spread of people living in a given area and includes how the population is spread out across the landscape, such as how many people live in a particular region or city.

Sample distribution refers to the distribution of a subset of the population. This is often used in statistical analysis, as it is not always possible to study the entire population. A sample distribution is a representation of the larger population and can be used to make inferences about the population as a whole.

Sampling distribution refers to the distribution of sample statistics, such as the mean or median, obtained from a number of different samples taken from the same population. This is important for understanding the variability of sample statistics and for making inferences about the population based on the sample. The sampling distribution is used to determine the likelihood of obtaining a particular sample statistic, given the true population parameter.

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Answer:

Step-by-step explanation: first add 1x23 all of them up

2 20

Each portion of flour used by William is less than 2.33 pounds, making option A the correct choice.

He started with 8 pounds of flour and ended up with less than 7 pounds remaining. If we divide the initial amount of flour (8 pounds) into three equal portions, each portion would be 8/3 = 2.6667 pounds. Since William ended up with less than 7 pounds remaining, this means that the total amount of flour used must have been greater than 8 - 7 = 1 pound. Therefore, each portion must have been less than 1 pound but greater than 1/3 pound. Among the given options, only option B, which states that each portion was less than 13 pounds, is a reasonable estimate of the portion size.

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Cara used 8.7 pints of blue paint to paint her bedroom walls.

Here, Cara  uses 9.1 pints of white paint and blue paint to paint her bedroom walls.

i.e., the total amount of paint used = 9.1 pints

We can write this decimal number in fraction form as 9.1 = 91/10 pints

Here, 2/5 of this amount is white paint and the rest is blue paint.

This means that 2/5 of the 91/10 pints is white paint.

Let x be the amount of blue paint.

x = Total paint used - the amount of white paint

x = 91/10 - 2/5

x = 91/10 - 4/10

x = 87/10

x = 8.7 pints

Therefore, the amount of blue paint used= 8.7 pints

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The total surface area of the cube is 150 square units.

A cube is a three-dimensional solid object that has six square faces, where each face is perpendicular to the adjacent face, and all faces are of equal size. It is a regular polyhedron, which means all its faces are congruent regular polygons, and all its edges are congruent. A cube has 12 edges, eight vertices, and six faces. The distance from one vertex to the opposite vertex, passing through the center of the cube, is called the diagonal of the cube. The length of the diagonal is equal to the square root of three times the length of one side of the cube. A cube is a fundamental shape in geometry and is commonly used in mathematics, architecture, and engineering.

The cube has 6 square faces, each with an area of (5 units)^2 = 25 square units. Therefore, the total surface area of the cube is:

6 x 25 = 150 square units

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The cube has 6 square sides, each of which is [tex](5\ units)^{2} =25[/tex] square units in total. As a result, the cube's entire surface area is: 150 square units.

A cube is a solid three-dimensional object with six square sides that are all of the same size and perpendicular to one another. Since it is a regular polyhedron, all of its sides and edges must be congruent regular polygons. Eight vertices, six sides, and twelve edges make up a cube.

The diagonal of the cube is the distance traversing the centre of the cube from one vertex to the opposing vertex. The square root of three times the length of one cube side is equivalent to the length of the diagonal. A cube is a basic geometric shape that is frequently used in engineering, building, and mathematics.

The cube has 6 square sides, each of which is [tex](5\ units)^{2} =25[/tex] square units in total. As a result, the cube's entire surface area is:

150 square units.

6 x 25 = 150 square units

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The weight of these melons in pounds is 14 31/40 lb (or approximately 14.775 lb)

To find the total weight of the melons, we need to add up the weights of each melon:

Weight of first melon = 3 1/2 lb = 7/2 lb

Weight of second melon = 4 2/5 lb = 22/5 lb

Weight of third melon = 2 3/4 lb = 11/4 lb

Weight of fourth melon = 3 5/8 lb = 29/8 lb

Total weight of all four melons = (7/2 + 22/5 + 11/4 + 29/8) lb

We need to first find the least common multiple (LCM) of the denominators (2, 4, 5, and 8) to add the fractions with different denominators.

LCM of 2, 4, 5, and 8 = 40

So, we need to convert all the fractions to have a denominator of 40:

7/2 = 140/40

22/5 = 176/40

11/4 = 110/40

29/8 = 145/40

Now, we can add the fractions:

Total weight of all four melons = (140/40 + 176/40 + 110/40 + 145/40) lb

= 571/40 lb

Therefore, the weight of these melons in pounds is 14 31/40 lb (or approximately 14.775 lb).

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The system of linear equations represented in the graph has one solution.

Linear equations are equations that involve a single variable and can be written in the form ax + b = 0, where a and b are constants, and x is a variable. Linear equations are often used to describe physical processes and are used to solve many real-world problems. They can be used to solve for velocity, distance, time, force, and more.

The line that passes through the points (0,2) and (2,1) is a linear equation, which means that any two points on the line will define a single, unique line. Therefore, the only solution to the equation is the point of intersection of the two points, (1,1.5). This point is the only solution to the system of linear equations represented in the graph.

It is important to note that the linear equation in the graph is not a two-variable equation, but rather a one-variable equation. A two-variable equation would have two lines, which would result in two solutions. However, because only one line is present in the graph, the system of linear equations represented has one solution only.

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Therefore , the solution of the given problem of expressions comes out to be  x+|x| is 2x if x≥0 and 0 if x<0.

Once the variables are moving, it is preferable to make approximations that involve joining, pausing, and dividing rather than doing so at random. They might be able to help one another out with some information, software, or an answer to a problem. Formulas, elements, and mathematical equation notation such as addition, deduction, combination, but also combination can all be found in a declaration of truth.

Here,

We can substitute each value of x into the expression and simplify to determine the value of the expression x+|x| for x=7, 10, 0, 3, 8, and x=0.

If x = 7, then x+|x|=7+|7|=7+7=14.

=> x+|x|=10+|10|=10+10=20 for x=10.

=> x+|x|=0+|0|=0+0=0 for x=0

=> If x=3, then x+|x|=3+|3|=3+3=0.

=> If x=8, then x+|x|=8+|8|=8+8=0.

Therefore, for x=7, x=10, x=0, x=3 and x=8, x+|x| equals 14, 20, and 0 respectively.

Let's now use the instances x0 and x0 to simplify the expression x+|x|:

As

=> x+|x|=x+x=2x if x0, then |x|=x.

Since

=>  |x|=x if x 0, x+|x|=x+x=0.

As a result, the x+|x| simplified formula is x+|x| is 2x if x≥0 and 0 if x<0.

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