What is the value of
* f(-1) when f(x) = 2x + 2?

37 is at the 50th percentile in the given set of values.

To find the percentile of 37 in the given set of values, we need to count the number of values in the set that are less than or equal to 37, and then divide by the total number of values in the set.

The given set has 16 values, and there are 8 values that are less than or equal to 37.

So, the percentile of 37 is:

Percentile = (number of values below score / total number of values) × 100

Percentile = (8 / 16) × 100

Percentile = 50

Therefore, 37 is at the 50th percentile in the given set of values.

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The final answer is (1 + 21√2)/(21√2). The process of rationalization involves changing the form of an expression to eliminate radicals from its Denominator, or to eliminate denominators from a radical expression.

To rationalize the denominator 1/7 + 3√2,

A rational number is a number that can be expressed as a ratio of two integers, with the denominator not equal to zero. The fraction 4/5, for example, is a rational number since it can be expressed as 4 divided by 5.

Step-by-Step SolutionTo rationalizes the denominator 1/7 + 3√2, we'll need to follow these steps.

Step 1: First, we need to create a common denominator for the two terms. The common denominator is 7. Thus, we can convert the expression to the following form:(1/7) + (3√2 × 7)/(7 × 3√2).

Step 2: Simplify the denominator to 7. (1/7) + (21√2)/(21 × 3√2).

Step 3: The numerator and denominator can now be simplified. (1 + 21√2)/(7 × 3√2).Step 4: Simplify further. (1 + 21√2)/(21√2).We have successfully rationalized the denominator!

The final answer is (1 + 21√2)/(21√2).

The final answer is (1 + 21√2)/(21√2). The process of rationalization involves changing the form of an expression to eliminate radicals from its denominator, or to eliminate denominators from a radical expression.

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Answer:

formula of slope if angle is given:

Tan (angle given)

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

72/9=8 so 99/9=11

Answer:

0

Step-by-step explanation

Answer:

W (1/3)=0

Step-by-step explanation:

w 1/30=3x1/3-1=

now elimante the opposites

w(1/3)=1-1

which equals 0

Answer:

This other side of the triangle is equal to about 11.7 cm

Step-by-step explanation:

In order to find out the third side of the triangle we will just use the Pythagoras Theorem.

\(c^{2} =a^{2} + b^{2}\)

Since we know the hypotenuse and we know one of the legs, in order to find the second leg we just substitute the values and solve the equation and so we get...

\(c^{2} =a^{2} + b^{2}\\19^{2} = 15^{2} + b^{2}\\361 = 225 + b^{2} \\\)

\(b^{2} = 361 - 225\\b^{2} = 136\\b = \sqrt{136} \\\)

And so b ≈ 11.66190

Number of people with AB+ blood type = 3.4 / 100 x 300 .Number of people with AB+ blood type = 10.Therefore, of the 300 people who donated blood, approximately 10 people would have been AB+.

Assuming the distribution of blood types in Springfield are the same as the distribution in the US, then the percent of AB+ blood type donors would be 3.4%. Therefore, of the 300 people who donated blood, approximately 10 people would have been AB+. This calculation is based on the following formula: Percent of AB+ blood type donors = Number of people with AB+ blood type / Total number of people who donated Number of people with AB+ blood type = Percent of AB+ blood type donors / 100 x Total number of people who donated Number of people with AB+ blood type = 3.4 / 100 x 300 .Number of people with AB+ blood type = 10.

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The lateral surface area of the pyramid is 168 cm² and the height of the pyramid is 23 cm

A pyramid is formed by connecting the bases to an apex. Each edge of the base is connected to the apex, and forms the triangular face, called the lateral face.

The lateral area of a figure is the area of the non-base faces only.

For a square based pyramid. It will have equal triangular lateral faces.

Therefore, lateral area = 4 × area of triangle

The area of triangle is expressed as;

A = 1/2bh

The height of the triangle = √25²-7²

= √ 625-49

= √ 576

= 24

A = 1/2 × 24 × 14

A = 24 × 7

= 168 cm²

lateral area = 4 × 168

= 672 cm²

To find the height of the pyramid

The diagonal of the base = √14²+14²

= √ 196+196

= √ 392

= 19.8 cm

using Pythagorean theorem

h = √25²-9.9²

h = √ 526.99

h = 23 ( nearest whole number)

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Answer:

2.) 48 Inches

Step-by-step explanation:

Mean = average so to find the average you add all the numbers together and divide by the number of subjects there are so -

49 + 47 + 46 + 45 + 53 = 240

240 ÷ 5 = 48 in

have a good day! :)

Answer:

number 2). 48 Inches (all crdt goes to the person who typed this first lol)

Step-by-step explanation:

Mean = average so to find the average you add all the numbers together and divide by the number of subjects there are so -

49 + 47 + 46 + 45 + 53 = 240

240 ÷ 5 = 48 in

have a good day! :3

Answer:

\(6\frac{2}{3}\)

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

Answer:

Step-by-step explanation:

25, i think

Answer:3

Step-by-step explanation:

The average rate of change of \(f\) over an interval \([a,b]\) is the difference quotient

\(\dfrac{f(b) - f(a)}{b - a}\)

Over the interval \(3\le x\le5\), we have

\(\dfrac{f(5) - f(3)}{5 - 3} = \dfrac{27 - 3}{5 - 3} = \dfrac{24}2 = \boxed{12}\)

Answer:

g(-2) = 4

Step-by-step explanation:

g(x)=−4x−4

Find g(-2)

This means let x = -2

g(-2)=−4(-2)−4

       = 8 -4

       = 4

The best estimate for the weight of a cantaloupe is 2 kilograms (B).

A decigram is 1/10th of a gram, which would be too small of weight for a cantaloupe. 2 grams (C) is also too small for a cantaloupe as it would only be the weight of a few small seeds. 2 milligrams (D) is an extremely small weight, only suitable for a single grain of salt or a tiny insect.

Therefore, 2 kilograms (B) is the most reasonable estimate for the weight of a cantaloupe as it falls within the typical range of cantaloupe weights.

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Complete Question:

Choose the best estimate for the weight of a cantaloupe. Responses

A 2 decigrams

B 2 kilograms

C 2 grams

D 2 milligrams

Answer:

W is the point of intersection of the lines 'a' and 'b'.

Step-by-step explanation:

Three points lying on line 'b' are points Y, Z and W.

Similarly, three points on line 'a' are points V, X and W.

Common point lying on both the lines 'a' and 'b' is W.

Therefore, point of intersection of the lines 'a' and 'b' is W.

Answer:

yards

Step-by-step explanation:

Answer:

Which is greater, 2 miles

1 mile = 1760 yards

2 miles = 2 * 1760

2 miles = 3,520 yards

How much greater?

3,520 - 1000 = 2520 yards

For the point 13. we have that the line passes through the points (-1,-2) and (0,1) then the slope is

and the line equation will be:

For the point 14: we have that the line passes through the points (-1,0) and (0,-1) then the sslope is:

and the line equation will be:

For the point 15: the line equation is y=-3 because the y coordinate will be always the same (-3) and the slope of the line will be equal to zero

(a) To determine if {{A,D,E},{B,C},{D,F}} is a partition of set K={A,B,C,D,E,F}, we need to check two conditions:

1. Each element of K should be in exactly one subset of the partition.

2. The subsets of the partition should be disjoint.

Let's examine the subsets of the given partition:

Subset 1: {A, D, E}

Subset 2: {B, C}

Subset 3: {D, F}

Condition 1 is satisfied because each element of K appears in one and only one subset. All elements A, B, C, D, E, and F are covered.

Condition 2 is not satisfied because Subset 1 and Subset 3 have an element in common, which is D. Subsets in a partition should be disjoint, meaning they should not share any elements.

Therefore, {{A,D,E},{B,C},{D,F}} is not a partition of set K.

(b) To determine if {{3,7,8},{2,9},{1,4,5}} is a partition of set L={1,2,3,4,5,6,7,8,9}, we again need to check the two conditions for a partition.

Let's examine the subsets of the given partition:

Subset 1: {3, 7, 8}

Subset 2: {2, 9}

Subset 3: {1, 4, 5}

Condition 1 is satisfied because each element of L appears in one and only one subset. All elements 1, 2, 3, 4, 5, 6, 7, 8, and 9 are covered.

Condition 2 is satisfied because the subsets are disjoint. There are no common elements among the subsets.

Therefore, {{3,7,8},{2,9},{1,4,5}} is a partition of set L.

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The expected values and standard deviations of the random variables V and W can be determined using the properties of expected values and standard deviations.

The expected value of V is 2/3 and its standard deviation is approximately 0.2357. The expected value of W is 1/3 and its standard deviation is approximately 0.2357.

To find the expected value of a random variable, we multiply each possible value by its corresponding probability and sum them up. For V = √U, U is uniformly distributed between 0 and 1, so the expected value of V can be calculated as:

E(V) = ∫√U * f(U) dU

Since U is uniformly distributed, the probability density function (PDF) f(U) is constant and equal to 1 over the range [0, 1]. Therefore,

E(V) = ∫√U dU = [(2/3)\(U^(3/2)\)] from 0 to 1 = 2/3

To find the standard deviation, we need to calculate the variance first. The variance of V can be calculated as:

Var(V) = E[(V -\(E(V))^2\)] = E\([U - (2/3)]^2\)

By integrating the square of the difference between U and (2/3) over the range [0, 1], we find that Var(V) is approximately 0.0556. Therefore, the standard deviation of V is approximately 0.2357.

For W = \(U^2\), the expected value can be calculated as:

E(W) = ∫\(U^2\) * f(U) dU = ∫\(U^2\) dU = [(1/3)\(U^3\)] from 0 to 1 = 1/3

The variance of W can be calculated as:

Var(W) = E[(W - \(E(W))^2\)] = \(E[U^2 - (1/3)]^2\)

By integrating the square of the difference between \(U^2\) and (1/3) over the range [0, 1], we find that Var(W) is approximately 0.0556. Therefore, the standard deviation of W is approximately 0.2357.

In summary, the expected value of V is 2/3 with a standard deviation of approximately 0.2357, while the expected value of W is 1/3 with a standard deviation of approximately 0.2357.

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The number of push-ups did sara did during gym class if for every 7 push-ups Dulce can do, Sara can do 6 is 24 push ups.

Number of push ups Dulce can do : number of push ups Sara can do

Let

number of push ups Sara does = x

7 : 6 = 28 : x

7/6 = 28/x

cross product

7 × x = 28 × 6

7x = 168

divide both sides by 7

x = 168/7

x = 24

Therefore, Sara does 24 push ups during the gym class.

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56/120

Step-by-step explanation:

The body masses of the two children in terms of their father's body mass, x, are:

First child's body mass = 5x/6 kg

Second child's body mass = 4x/5 kg

To express the body mass of the man's two children in terms of their father's body mass, we can use the given ratios.

Let the body mass of the man be x kg.

The first child's body mass is five-sixths of their father's body mass:

Body mass of the first child = (5/6) * x

= 5x/6 kg.

The second child's body mass is four-fifths of their father's body mass:

Body mass of the second child = (4/5) * x

= 4x/5 kg.

Therefore, the body masses of the two children in terms of their father's body mass, x, are:

First child's body mass = 5x/6 kg

Second child's body mass = 4x/5 kg

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f(-7) will be equal to (-13) using given function and conditions.

What are function?

Function is an expression rule, or law that defines relationship between one variable and another variable.

An example of this would be y = x^2. If you put in anything for x, you get one output for y.

In given function,

y is represented by f(x),

f(x) = -x-6  for x ≠ 0

f(x) = 2      for x = 0

We need to find for x = -7 i.e. not equal to 0

So, we will take F(x) = -x-6

So, f(-7) = -7-6

             = -13

So, the value of f(-7) = -13.

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Step-by-step explanation:

The scalar projection of a vector b onto a vector a is given by the dot product of b and the unit vector of a:

p = (b · u) * u

where u is the unit vector of a, and can be found by dividing a by its magnitude:

u = a / ||a||

The vector projection of b onto a is simply the scalar projection scaled by the unit vector:

p = p * u

For the given vectors a = ⟨-5,12⟩ and b = ⟨4,6⟩, we first find the unit vector u:

u = a / ||a|| = ⟨-5,12⟩ / ||⟨-5,12⟩|| = ⟨-5/13,12/13⟩

Next, we find the dot product of b and u:

p = (b · u) = ⟨4,6⟩ · ⟨-5/13,12/13⟩ = (4 * -5/13) + (6 * 12/13) = -20/13 + 72/13 = 52/13

So the scalar projection of b onto a is p = 52/13.

Finally, we find the vector projection by scaling the unit vector u by the scalar projection:

p = p * u = (52/13) * ⟨-5/13,12/13⟩ = ⟨-52/169,104/169⟩

So the vector projection of b onto a is p = ⟨-52/169,104/169⟩.

Answer:

20

Step-by-step explanation:

If 50% of machines are washing machines and there are 10, then add 10 again to get 100% of the total machines

The first six terms of the sequence are: -1/2, 1, 25/2, 31, 123/2, 107.

To find the first six terms of the sequence given by the formula aₙ = (1/2)ₙ³ - 1, we substitute the values of n from 1 to 6 into the formula. Here are the calculations:

For n = 1:

a₁ = (1/2)(1)³ - 1 = 1/2 - 1 = -1/2

For n = 2:

a₂ = (1/2)(2)³ - 1 = 4/2 - 1 = 2 - 1 = 1

For n = 3:

a₃ = (1/2)(3)³ - 1 = 27/2 - 1 = 25/2

For n = 4:

a₄ = (1/2)(4)³ - 1 = 64/2 - 1 = 32 - 1 = 31

For n = 5:

a₅ = (1/2)(5)³ - 1 = 125/2 - 1 = 123/2

For n = 6:

a₆ = (1/2)(6)³ - 1 = 216/2 - 1 = 108 - 1 = 107

Therefore, the first six terms of the sequence are: -1/2, 1, 25/2, 31, 123/2, 107.

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Answer:

Anwer- 9

Step-by-step explanation:

(1+2)2 =6 but since there isnt 6, go for 9.

- Hope this helps a little

The value of a from the given quadratic equation is 9. Therefore, option D is the correct answer.

The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.

Given that, Nancy found that x=1 is one solution to the quadratic equation (x+2)²=a.

Now, substitute x=1 in the equation (x+2)²=a, that is

(1+2)²=a

a=3²

a=9

Therefore, option D is the correct answer.

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Answer:

Step-by-step explanation:

1/3