Find the sum of the 6 smallest consecutive natural numbers

Answer: The three functions that have limited domains are the square root function, the log function and the reciprocal function. The square root function has a restricted domain because you cannot take square roots of negative numbers and produce real numbers.

Step-by-step explanation:

THE ANSWER IS SQUARE ROOT FUNCTION

Answer:

y = -1/4 (x + 2)² + 4

Step-by-step explanation:

y = -1/4x² - x + 3

y = - 1/4 ( x² + 4x - 12)

y = -1/4 (x² + 4x + 4) + 3 + 1

Y = -1/4 (x + 2)² + 4

Given that the ratio is $4 per hour, we just have to find the table that shows this relation.

Observe that table C shows that the Total Money Earned is 4 times the Hours worked.

The square root of 60 minus 11 would be plotted on a number line in between −3 and 8, but closer to 8.

A straight line with numbers placed at equal intervals or segments along its length. Number line is a straight line with a "zero" point in the middle, with positive and negative numbers listed on either side of zero and going on indefinitely.

Given:

The square root of 60 minus 11 would be plotted on a number line.

According to given question we have

We know that the  square root of 60

=

\(\sqrt{60} \\\\=7.74\)

So, By the statement square root of 60 minus 11 we have,

=7.74-11

=-3.25

So, in the number line the points are lies in between −3 and 8, but

closer to 8.

Therefore, the square root of 60 minus 11 would be plotted on a number line in between −3 and 8, but closer to 8.

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Answer:

Step-by-step explanation:

To solve the system of equations by combining the equations, we can use the method of elimination:

x + 2y = -14 (equation 1)

-4x - y = 28 (equation 2)

We can eliminate y by multiplying equation 1 by 4 and adding it to equation 2:

4x + 8y = -56 (4 * equation 1)

-4x - y = 28 (equation 2)

7y = -28

Solving for y, we get:

y = -4

Substituting this value into equation 1, we get:

x + 2(-4) = -14

Solving for x, we get:

x - 8 = -14

x = -6

Therefore, the solution to the system of equations is x = -6 and y = -4.

Answer:

D.

Step-by-step explanation:

it can't be B or C since Function A has a greater y-intercept of 2. and if you graph function A you can see that Function B has a greater rate of change

Answer:

D

Step-by-step explanation:

The rate of change for the graph is 2 so we can rule anything out that shows A has a larger rate of change. Now we look at the y intercept on the graph which is -2. The one in the function is 2 so we eliminate anything that says B has a greater y intercept this should give you the answer

Hope this Helps :)

a. Using the vertical angles theorem, m∠7 = 47°.

b. Based on the definition of linear pair, the equation that can be used to solve for x is: 2x - 5 + 47 = 180.

c. x = 69

A linear pair is two angles whose sum equals 180°.

Given the image, where:

m∠5 = 47°

a. ∠5 and ∠7 are vertical angles. Since verticl angles are congurent, therefore:

m∠7 = m∠5 = 47°

m∠7 = 47°

b. m∠6 = (2x - 5)°

m∠6 + m∠5 = 180° (linear pair)

Substitute

2x - 5 + 47 = 180 (equation that can be used to solve x)

c. 2x - 5 + 47 = 180

2x + 42 = 180

2x = 180 - 42

2x = 138

x = 138/2

x = 69

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Answer:

The measure of anle MNP is

Explanation:

The image attached shows the figure corresponding to this question.

The angle MNP, wich is also the angle LNP, is formed by the intersection of a secant and a tanget to a circle.

Then, you can use the theorem:

The major arc formed is identified with the letter x and the minor arc is identified witht he letter y. Thus, the measure of the angle MNP is half the differenc x - y:

To find the power series expansion about x=0 for the general solution to the given differential equation, let's assume a power series solution of the form:

w(x) = ∑(n=0 to ∞) a_n x^n

where a_n represents the coefficients of the power series.

Differentiating w(x) with respect to x, we have:

w'(x) = ∑(n=0 to ∞) a_n*n*x^(n-1) = ∑(n=1 to ∞) a_n*n*x^(n-1)

Differentiating w'(x) with respect to x, we have:

w''(x) = ∑(n=1 to ∞) a_n*n*(n-1)*x^(n-2) = ∑(n=0 to ∞) a_(n+2)*(n+2)*(n+1)*x^n

Now, substituting these expressions into the differential equation, we get:

∑(n=0 to ∞) a_(n+2)*(n+2)*(n+1)*x^n - 8x^2 * ∑(n=1 to ∞) a_n*n*x^(n-1) + ∑(n=0 to ∞) a_n*x^n = 0

To simplify this equation, we need to separate the terms and adjust the indices:

a_2*2*1 + a_3*3*2*x + ∑(n=2 to ∞) a_(n+2)*(n+2)*(n+1)*x^n - 8∑(n=1 to ∞) a_n*n*x^n + ∑(n=0 to ∞) a_n*x^n = 0

Grouping the terms with the same power of x, we have:

[2a_2 - 8a_1] + [6a_3 - 8a_2]x + ∑(n=2 to ∞) [a_(n+2)*(n+2)*(n+1) - 8a_n*n]x^n + ∑(n=0 to ∞) a_n*x^n = 0

Equating the coefficients of each power of x to zero, we can find the expressions for a_2, a_3, and the terms up to order 3:

2a_2 - 8a_1 = 0  =>  a_2 = 4a_1

6a_3 - 8a_2 = 0  =>  a_3 = (8/6)*a_2 = (8/6)*4a_1 = (16/3)a_1

The terms up to order 3 are:

a_0 + a_1*x + 4a_1*x^2 + (16/3)a_1*x^3

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Answer:

<

Step-by-step explanation:

4th grade math?

4/8 = 1/2 as they are both equivalents to 0.5

3/8 is less than 4/8, there for less than 1/2 (which is the same as 4/8)

Answer: 22/13

Step-by-step explanation:

65e = 110

Divide 63 on both sides anyou get 22/13

Answer:

54

Step-by-step explanation:

2πr

π = 3

r = 9

2(3)(9)

54

The answer is, the correct statement are , 1. The matrix B² is positive definite if A is positive definite. ,2. A square matrix and its transpose have the same set of eigenvectors. , 3. A real square matrix has only real eigenvalues. , 4. The dimension of the row space of a matrix A with rank 4 is 4. , 5. The dimension of the null space of matrix A is 4.

the correct statements from the options provided:

1. The matrix B² is positive definite if A is positive definite.
2. A square matrix and its transpose have the same set of eigenvectors.
3. A real square matrix has only real eigenvalues.
4. The dimension of the row space of a matrix A with rank 4 is 4.
5. The dimension of the null space of matrix A is 4.

Please note that the statements regarding the values of x, dx, v, r, Av, and trace are incomplete or incorrect, so I have not included them in my answer.

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The required equation function j which is the transformation of \(f(x)= x^{1/2}\) is  \(j(x)= (x+2)^{1/2}\) .

As we can see in the graph the functions j and f are similar but the graph of j is 2 units left of f. So, function f(x) has a domain of real number greater than equal to zero, while as the function j is 2 units left of f then its equation is given as  \(j(x)= (x+2)^{1/2}\)  where the domain of j is all real numbers greater then or equal to -2.

Thus, the equation of function j is the transformation of \(f(x)= x^{1/2}\) is  \(j(x)= (x+2)^{1/2}\) .

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In the question the graph is missing, a graph has been added on behalf of the incomplete question.

Answer:

Figure G is a reflection of figure F

mirror line: y= -x line

Answer:

4

Step-by-step explanation:

the answer is 4 because if it is 10 ture or flase quiz u need to subtract 10 and 6 and that will give u 4

Writing linear equations given two points can be a useful skill when graphing linear equations.

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A. 7658.8 hr/year

B. 4.082 hr/year

C. 99206 kwh

Moreover, The annual average wind speed was calculated directly at 4.56 m/s. Using the Weibull distribution, the annual wind speed is 4.55 m/s, while using the Rayleigh distribution it is 4.523 m/s. The annual wind power density was directly calculated to be 114.54 W/m2.

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Answer:

when they reach each other Elana would have gone 16 miles for 2 minutes And jada would  for a minite to reach elana

Step-by-step explanation:

CS responding of 81 refers to the response to a conditioned stimulus. A suppression ratio of zero means no fear response is observed, indicating no learned association between the conditioned stimulus and the aversive outcome.


“CS responding” refers to the response elicited by a conditioned stimulus (CS). A conditioned stimulus is a neutral stimulus that, through repeated pairing with an unconditioned stimulus (UCS), acquires the ability to elicit a conditioned response (CR). The CS responding value represents the level or frequency of the conditioned response.
Now, let’s address the concept of a suppression ratio. In fear conditioning experiments, a common way to measure fear is through a suppression ratio, which is calculated by dividing the number of responses emitted during the CS presentation by the total number of responses emitted during a specific period, usually including both the CS and a baseline period.

A suppression ratio of zero indicates that no suppression of responding occurs during the presentation of the conditioned stimulus. This means that the individual is not showing any reduction in their responding when the CS is presented compared to the baseline period.
In terms of both responding and fear, a suppression ratio of zero suggests that the individual is not associating the CS with the aversive outcome (UCS) and does not exhibit any fear response. Essentially, there is no behavioral evidence of conditioned fear or a learned association between the CS and the aversive stimulus.

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a) the probability density function for U is given by f(u) = (1/12)e^(-(u-1)/12).

b) the expected cost of flour for the bakery is $4.25 per day.

a) To find the probability density function of U, we first need to find the distribution of Y. Since Y follows an exponential distribution with mean 4, we know that the probability density function of Y is given by:
f(y) = (1/4)e^(-y/4)

Now, we can use the formula for the distribution of a linear transformation of a random variable to find the distribution of U:
f(u) = (1/3)f((u-1)/3)

Substituting in the expression for f(y), we get:
f(u) = (1/3)(1/4)e^(-(u-1)/12)

Simplifying, we get:
f(u) = (1/12)e^(-(u-1)/12)
So the probability density function for U is given by f(u) = (1/12)e^(-(u-1)/12).

b) To find E(U), we can use the formula:
E(U) = ∫u f(u) du

Substituting in the expression for f(u) that we found in part (a), we get:
E(U) = ∫u (1/12)e^(-(u-1)/12) du

Integrating by parts, we get:
E(U) = [-(u-1)e^(-(u-1)/12)]/12 - e^(-(u-1)/12)/144 + C

Evaluating this expression from 0 to infinity and simplifying, we get:
E(U) = 4.25
So the expected cost of flour for the bakery is $4.25 per day.

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Answer:

untere Tabelle gibt an, wie Oberfläche und Volumen der Pyramide berechnet werden. Grundsätzlich gilt:

Oberfläche = Grundfläche + Mantelfläche

Volumen = Grundfläche · Pyramidenhöhe : 3

Generell ist darauf zu achten, dass mit unterschiedlichen Höhenangaben gerechnet wird. Für die Berechnung der Oberfläche wird die Höhe der schrägliegenden Seitendreiecke benötigt (Grafik unten: ha; hb). Für die Berechnung des Volumens wird die Höhe der Pyramide benutzt (Grafik unten: h).

JSXGraph v0.95 Copyright (C) see http://jsxgraph.org

ha = 5.83 cm

h = 5.00 cm

a = 6.00 cm

b = 6.01 cm

hb = 5.83 cm

V = 60.10 cm³

Ap = 106.11 cm²

AM = 70.05 cm²

AG = 36.06 cm²

 –  o  +  ←  ↓  ↑  → 

rechteckige Grundflächequadratische GrundflächeOberfläche = Grundfläche + Mantelfläche

OP = AG + AMOP = a · b + a · ha + b · hbOP = a² + a · ha · 2 Volumen = Grundfläche · h : 3

VP = AG · h : 3

VP = a · b · h : 3VP = a² · h : 3

Step-by-step explanation:

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Answer:

Q = 6x + 20

Step-by-step explanation:

L=2x

W=10 + x

Perimeter of a rectangle, Q= 2(L+ W)

2(2x + 10 + x)

2(3x + 10)

Q = 6x + 20

Answer:B)  5

Step-by-step explanation:

Answer:

Segment XV is equal to 24 mm

Step-by-step explanation:

Both triangles are clearly congruent, both having the same type of angles as well as angle LKJ and angle VKW having the same angle measure, 21 degrees. Lastly, if you were to take out segment JL and WV, the triangles would fold the same. All of this leads to segment XV being the same as segment KL which leads it to be 24 mm. (Sorry if this is confusing, just trying to explain how my brain understood the problem. If you need me to elaborate more let me know).

1) Firstly, let's convert that mixed number into an improper fraction:

2) Now, let's find Marvin's hourly wage:

Note that to rewrite it as a Mixed Number