Whats the value of f(-5) when f(x)=x^2+6x+15

The multiplication equation with 1/2 as a factor is 1/2 x 8.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

An expression is simply used to show the relationship between the variables that are provided or the data given regarding an information.

We have the number of halves apples. = 8

Now, the expression of 8 halves apples.

= 1/2 x 8

= 4

Thus, the multiplication equation is 1/2 x 8.

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How to write a multiplication equation with 1/2 as a factor. explain. (picture of 8 halved apples)

By unitary method 24 students/(64/9) yards squared times 1600 yards squared equals 5400 students.

The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.

Students traverse a total area of 40 yards by 40 yards, or 1600 yards.

24 kids covered an area of 8 ft x 8 ft, or (8 ft x 1 yd/3 ft)2 = [(8/3) yard]2 = (64/9) yd.

The number of students present is calculated by multiplying the number of students per yard, or 24 students/(64/9) yd2, by the area that students cover.

Therefore: 24 students/(64/9) yards squared times 1600 yards squared equals 5400 students.

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Answer:

arc VW = 66°

Step-by-step explanation:

The inscribed angle WXY is half the measure of its intercepted arc WY, so

WY = 2 × 57° = 114°

Arc YX = 180° ( semi- circle ) , then

VW = YX - WY = 180° - 114° = 66°

Answer:

66°

Step-by-step explanation:

1) m(WY)=2*57=114°;

2) m(WX)=180-m(WY)=180-114=66°

Answer:

\(3.5\times10^-^1^2\)

Step-by-step explanation:

\((7 \times 10^-5) \times (5 \times 10^-8)\)

Evaluate

\((7 \times 5)\times(10^-^5\times10^-^8)\)

\(35\times10^-^5^-^8\)

\(35\times10^-^1^3\)

\(35\times10^1\times10^-^1^3\)

\(3.5\times10^1^-^1^3\)

\(3.5\times10^-^1^2\)

Thus, the answer is \(3.5\times10^-^1^2\)

~Lenvy~

Using the z-distribution, it is found that the 95% confidence interval for the proportion of all seafood sold in the United States that is mislabeled or misidentified is (0.3036, 0.3564).

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

For this problem:

\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.33 - 1.96\sqrt{\frac{0.33(0.67)}{1215}} = 0.3036\)

\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.33 + 1.96\sqrt{\frac{0.33(0.67)}{1215}} = 0.3564\)

The 95% confidence interval for the proportion of all seafood sold in the United States that is mislabeled or misidentified is (0.3036, 0.3564).

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The volume of this rectangular prism is 105 cubic inches

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

The figure

On the figure, we have

Length = 7 inches

Width = 3 inches

Height =5 inches

The volume is the product of the dimensions

So, we have

volume = 7 * 3 * 5

Evaluate

volume = 105

Hence, the volume is 105 cubic inches

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Answer:maybe

Step-by-step explanation:

To answer that we need to talk about parallel universes

Answer:

yes

Step-by-step explanation:

A baseball bat strikes a ball with an average force of 2.0 x 104 Newtons. if the bat stays in contact with the ball for a distance of 5.0 x 10-3 meter , then the kinetic energy will be 2× 10^2 J

kinetic energy of an object is the energy that it possesses due to its motion. It is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity. Having gained this energy during its acceleration, the body maintains this kinetic energy unless its speed changes.

In classical mechanics, the kinetic energy of a non-rotating object of mass m traveling at a speed v is 1/2 mv²

Favg= -1/2 MV2

Favg = -1 2 ( 5.0 x 10-3)^2

Favg = - 1/2 ×25 × 10 ^-6

Favg = 2× 10^2 J

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The union of two sets is to avoid counting the same elements twice.

The mathematical logic subfield of set theory investigates sets, which can be loosely defined as collections of objects. Although any object can be combined into a set, set theory, as a mathematical discipline, focuses primarily on those that are relevant to mathematics as a whole.

Given union of set

(A ∪ B),

The set of all objects that are members of either A or B, or both, is the union of the sets A ∪ B.

let us take example,

A = { 1, 2, 3, 4}

B = {3, 4, 5, 6, 7}

(A ∪ B) = { 1, 2, 3, 4} ∪  {3, 4, 5, 6, 7}

we can simply write all of A and B's elements in a single set to avoid duplicates to find A U B.

(A ∪ B) = {1, 2, 3, 4, 5, 6, 7}

Hence the  union of two sets is a set that contains all the elements of both set and avoid duplicates.

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The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input.

The collection of all potential inputs for a function is its domain. For instance, the domain of f(x)=x2 and g(x)=1/x are all real integers with the exception of x=0.

Think about the function y = f. (x). The range of the function is the range of all the y values, from least to maximum. Substitute all possible values of x into the provided expression of y to see whether it is positive, negative, or equal to other values.

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Answer:

72

Step-by-step explanation:

you is correct good job

The slope of the plane's altitude gain is 1/7.

The slope of the plane's altitude gain can be calculated using the formula: slope = rise / run, where rise is the change in altitude and run is the horizontal distance covered.

In this case, the rise is 2000ft and the run is 14000ft. Therefore, the slope of the plane's altitude gain is:

slope = 2000 / 14000

slope = 1/7

This means that for every 7 units of horizontal distance covered by the plane, it gains 1 unit of altitude. In other words, the slope represents the steepness of the plane's climb. A slope of 1/7 indicates a relatively gentle climb compared to a steeper slope.

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Answer:

3<x<5

Step-by-step explanation:

\(x^2 - 8x + 15 < 0\\\\\mathrm{Factor}\:x^2-8x+15:\quad \left(x-3\right)\left(x-5\right)\\\left(x-3\right)\left(x-5\right)<0\\\\\mathrm{Find\:the\:signs\:of\:the\:factors\:of\:}\left(x-3\right)\left(x-5\right)\\\\\mathrm{Identify\:the\:intervals\:that\:satisfy\:the\:required\:condition:}\:<\:0\\\\3<x<5\)

Answer:

c? I don't really see the expression

Answer:

No

Step-by-step explanation:

When \(x=2\), \(y=-6(2)=-12\), not \(4\).

Answer:

Step-by-step explanation:

Answer:

x = 9

Step-by-step explanation:

Given equation,

→ 3x - 12 = 15

Now the value of x will be,

→ 3x - 12 = 15

→ 3x = 15 + 12

→ x = 27/3

→ [ x = 9 ]

Hence, the value of x is 9.

The continuous growth rate is 23.104 percent,  t is the number of years in the future.

The formula for wind generating capacity W in thousand megawatts as a function of 1, the number of years in the future, is W = 95(2)^(t/3), where t is the number of years in the future.

This formula is derived from the fact that the total power generated by wind worldwide doubles every 3 years. Since the initial generating capacity is 95 thousand megawatts,

we can write the formula as W = 95(2)^(t/3), where t is the number of years in the future. For example, if we want to know the generating capacity 6 years in the future, we plug in t = 6 and get W = 95(2)^(6/3) = 380. This tells us that the generating capacity will quadruple in 6 years.

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Answer:

9x^2 + 21x + 12

Step-by-step explanation:

(3x+4)(x+2x+3)

Combine x and 2x to get 3x.

(3x+4)(3x+3)

Apply the distributive property by multiplying each term of 3x+4 by each term of 3x+3.

9x^2 + 9x + 12x + 12

Combine 9x and 12x to get 21x.

9x^2 + 21x + 12

The composite transformation of a 180° rotation about the origin and a translation of (x, y) ⇒ (x - 1, y + 1), of the segment \(\overline{XY}\) with endpoints X(-3, 1) and Y(4, 5), produces the attached graph of the segment \(\overline{X''Y''}\) with endpoints X''(2, 0) and Y''(-5, 6).

A translation is a term used to describe the rotation, dilation, reflection and or translation manipulation of a line, point, or geometric figure.

The specified endpoints of the graph are; X(-3, 1) and Y(4, -5)

The graph of \(\overline{XY}\) can be created using MS Excel as shown in the attached graph of the segment \(\overline{XY}\)

The location of the image of a point (x, y), following a rotation of 180° about the origin is the point produces the image at the point (-x, -y)

The coordinates of the endpoints of \(\overline{XY}\) following a rotation of 180° about the origin are therefore;

X(-3, 1)    \(\overset{R_{180^{\circ}}}\longrightarrow {}\)   X'(3, -1)

Y(4, -5)    \(\overset{R_{180^{\circ}}}\longrightarrow {}\)   Y'(-4, 5)

The translation transformation (x, y) ⇒ (x - 1, y + 1), can be applied on the image of the 180° rotation as follows;

X'(3, -1)   \(\overset{T_{(x-1, \,y+1)}}\longrightarrow {}\)  X''(3 - 1, -1 + 1) = X''(2, 0)

Y'(-4, 5)   \(\overset{T_{(x-1, \,y+ 1)}}\longrightarrow {}\) Y''(-4 - 1, 5 + 1) = Y''(-5, 6)

The location of the image of segment \(\overline{XY}\) after the composition of a rotation of 180° about the origin and a translation of (x, y) \(\xrightarrow{}\) (x - 1, y + 1) are the points X''(2, 0) and Y''(-5, 6)

The graph of segment \(\overline{X''Y''}\) with endpoints X''(2, 0) and Y''(-5, 6) is attached.

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Answer:

f(2) = -3

Step-by-step explanation:

Find f(2) given f(x) = 2x^2 + 5x - 21​

Since on the left side, x is replaced by 2, on the right side, x should also be replaced by 2.

f2 = 2(2)² + 5(2) - 21

2 x 2² = 2 x 4 = 8

5 x 2 = 10

8 + 10 = 18

18 - 21 = ?

-(21 - 18 = 3)

-21 + 18 = -3

f(2) = -3

The statistical test that should be done to determine if there is a significant difference is the independent t-test.

What're is an independent t-test?

It should be noted the independent t-test or students t-test for two samples should be used.

The Independent Samples T-Test compares the means of two independent groups to determine whether there is statistical evidence that the associated population means are significantly different.

In this case, the biology department needs to decide which lab curriculum yields better student outcomes, the.t text can be applicable.

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There are 2 tablespoons in an ounce. So for 2 ounces, you will need 4 tablespoons, for 4 ounces 8 tablespoons, and so on.

A tablespoon is a unit of volume measurement in United States, and some other countries. It is equal to approximately 15 milliliters (0.51 fluid ounces). One tablespoon can be further divided into three teaspoons, meaning that one tablespoon is equal to three teaspoons.

In the United States, one tablespoon is equal to 0.5 ounce, which is equal to 14.3 grams. This is slightly different in the UK, where one tablespoon is equal to 0.6 ounces (which is equal to 17.7 grams). To convert tablespoons to ounces, you can use the following formula is 1 tablespoon = 0.5 ounces.

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Number of ways to select 8 countries from the United Nations is 48,054,722,400

To solve this problem, we need to use the combination method, which states that if there are m ways to perform one task and n ways to perform another task after the first task is completed, then there are m x n ways to perform both tasks in sequence.

Using this principle, we can break down the selection of 8 countries into three separate tasks

Selecting 3 countries from a block of 52: There are 52C3 ways to do this, where 52C3 is the binomial coefficient "52 choose 3," which can be calculated as follows

52C3 = (52 x 51 x 50) / (3 x 2 x 1) = 22,100

Selecting 2 countries from a block of 64: There are 64C2 ways to do this, where 64C2 is the binomial coefficient "64 choose 2," which can be calculated as follows

64C2 = (64 x 63) / (2 x 1) = 2,016

Selecting 3 countries from a block of 73: There are 73C3 ways to do this, where 73C3 is the binomial coefficient "73 choose 3," which can be calculated as follows

73C3 = (73 x 72 x 71) / (3 x 2 x 1) = 1,082,790

To find the total number of ways to select 8 countries, we simply multiply these three quantities together

22,100 x 2,016 x 1,082,790 = 48,054,722,400

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Answer:

\(x^{3}\)= 36 = \(\sqrt[3]{36}\)

\(x^{2}\) = \(\sqrt{42}\)

\(x^{3}\) = 55 = \(\sqrt[3]{55}\)

Hope it helps. =D

Have a great day!

The measurement of the angles are 95°, 120°, and 145°.

Let the smallest angle = x

Second angle = x + 25

Third angle = x + 25 + 25 = x + 50

x + x + 25 + x + 50 = 360

3x + 75 = 360

3x = 360 - 75

3x = 285

x = 285/3

x = 95°

Second angle = 95 + 25 = 120°

Third angle = 95 + 50 = 145°

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ANSWER- the predicted life satisfaction score of an unemployed person, age 60, is 97.24 ± 3.06 or between 94.18 and 100.30 with 95% confidence.

7. The regression equation for predicting the life satisfaction score from age is given byY = a + bX

where Y is the predicted life satisfaction score a is the y-intercept or constant b is the regression coefficient of x (age in this case)

X is the age of the unemployed workers b = r(SY/SX)

where

SY is the standard deviation of the life satisfaction scores

SX is the standard deviation of age in the sample

b = .64(12/9) = .85

Therefore, the regression equation is

Y = a + .85X

To find the y-intercept, we use the fact that the mean of Y = 63.3

and the mean of X = 39.8Y = a + .85XX = 39.8Y = 63.3a + .85(39.8)

Solving for a,

a = 30.74

Therefore, the regression equation for predicting the life satisfaction score from age is

Y = 30.74 + .85X.

8.To predict the life satisfaction score of an unemployed person, age 50,

we use the regression equation:

Y = 30.74 + .85XY = 30.74 + .85(50)Y = 74.24

The standard error of the estimate (SE) = SY|X√[1 - r²]

where

SY|X is the standard deviation of the residuals (predicted errors) that result from predicting Y from X.

SE = 12|9√[1 - .64²]SE = 3.06

Therefore, the predicted life satisfaction score of an unemployed person, age 50, is 74.24 ± 3.06 or between 71.18 and 77.30 with 95% confidence.

9. To predict the life satisfaction score of an unemployed person, age 30, we use the regression equation:

Y = 30.74 + .85XY = 30.74 + .85(30)Y = 56.24

The standard error of the estimate (SE) = SY|X√[1 - r²]SE = 3.06

Therefore, the predicted life satisfaction score of an unemployed person, age 30, is 56.24 ± 3.06 or between 53.18 and 59.30 with 95% confidence.

10. To predict the life satisfaction score of an unemployed person, age 60, we use the regression equation:

Y = 30.74 + .85XY = 30.74 + .85(60)Y = 97.24

The standard error of the estimate (SE) = SY|X√[1 - r²]SE = 3.06

Therefore, the predicted life satisfaction score of an unemployed person, age 60, is 97.24 ± 3.06 or between 94.18 and 100.30 with 95% confidence.

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7. The regression equation for predicting the life satisfaction score from age:We use the formula of the regression equation:

y = a + bxwhere,

y = dependent variable,

x = independent variable,

a = y-intercept,  

b = slopeSubstitute the values of x and y to find the slope:

b = r (SDy/SDx)

b = 0.64 (12/9)

b = 0.85

Substitute the mean of x and y, and b to find the y-intercept:

a = y - bx¯

a = 63.3 - 0.85 (39.8)

a = 28.945

Hence, the regression equation is:

y = 28.945 + 0.85x8.

Predict the life satisfaction score of an unemployed person, age 50, in this town.The formula for finding the predicted value of y (y') for a given x is:y' = a + bxSubstitute the given values:

x = 50a = 28.945b = 0.85y' = 28.945 + 0.85(50)y' = 72.395

The predicted life satisfaction score of an unemployed person, age 50, in this town is 72.395. The standard error of the estimate is not given in the question, so it cannot be included in the final answer.9. Predict the life satisfaction score of an unemployed person, age 30, in this town.Substitute the given values:

x = 30a = 28.945b = 0.85y' = 28.945 + 0.85(30)y' = 54.395.

The predicted life satisfaction score of an unemployed person, age 30, in this town is 54.395. The standard error of the estimate is not given in the question, so it cannot be included in the final answer.10. Predict the life satisfaction score for an unemployed person, age 60, in this town.Substitute the given values:

x = 60a = 28.945b = 0.85y' = 28.945 + 0.85(60)y' = 90.395.

The predicted life satisfaction score of an unemployed person, age 60, in this town is 90.395. The standard error of the estimate is not given in the question, so it cannot be included in the final answer.

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(a) Using mathematical induction, we can prove that for any positive integer n, the sum of the cubes of the first n positive integers is equal to (n(n+1)/2)^2.(b) Similarly, by mathematical induction, we can prove that for any positive integer n, the sum of j*(2^j) for j = 1 to n is equal to (n - 1)2^n+1 + 2.(c) By applying mathematical induction, it can be shown that for any positive integer n, the sum of j*(j - 1) for j = 1 to n is equal to n(n^2 - 1)/3.

(a) To prove the statement using mathematical induction, we start by establishing the base case.

For n = 1, the left-hand side (LHS) is 1^3 = 1, and the right-hand side (RHS) is \((1(1+1)/2)^2 = (1/2)^2 = 1/4\). Since LHS = RHS, the statement holds true for n = 1.

Next, we assume that the statement is true for some positive integer k, i.e., \(sigma_j=1^k j^3 = k(k+1)/2^2\). We need to show that it holds for n = k + 1.

Using the assumption, \(sigma_j=1^k j^3 = k(k+1)/2^2\). Adding \((k+1)^3\) to both sides gives \(sigma_j=1^{(k+1)} j^3 = k(k+1)/2^2 + (k+1)^3\). Simplifying the RHS, we get \((k^3 + 3k^2 + 2k + 2) / 4\).

Rearranging the terms and factoring, the RHS becomes\(((k+1)(k+2)/2)^2\). Therefore, we have established that the statement holds for n = k + 1.

By mathematical induction, we conclude that the statement \(sigma_j=1^m j^3 = (n(n+1)/2)^2\)holds for any positive integer n.

The proofs for parts (b) and (c) are similar and can be done by following the same steps of base case verification and the induction assumption, and then deriving the result for n = k + 1.

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Combine like terms:

-r-10r

We can always add variables as long as they are the same. So we can not add 10x+20y. That's impossible.

We can't add 3r^2+10r. That's also impossible.

However, we have the same variable, r. So we can add -r-10r. And the answer is:

-11r

Hope this helps! :)

Hey there!

-r - 10r

= -1r - 10r

COMBINE the LIKE TERMS

= (-1 - 10r)

= -11r

Therefore, your answer is: -11r

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

x = 40 in

Step-by-step explanation:

the missing angle in the triangle on the left is

180° - (74 + 51)° = 180° - 125° = 55°

the missing angle in the triangle on the right is

180° - (74 + 55)° = 180° - 129° = 51°

the 2 triangles have 3 pairs of congruent angles and are therefore congruent.

Corresponding sides and angles are then congruent

consider the corresponding sides opposite 74° , that is x and 40 in , so

x = 40 in

Since the amount of yarn available is what defines the size of the blanket, the amount of yarn is the independent variable, and it is the input for the table or equation.

The size of the blanket depends on the amount of yarn, so the size of the blanket is the dependent variable, and it is the output of the table or equation.

Therefore the option that shows the true statement is C.