If
f(x) = 4x + 3
and
g(x) =x-7
Find
f(g(x)) = [?]x+[

Answer:

c- 0.465

Step-by-step explanation:

Answer:

c: . 465 hope this helped!

Answer:

307/500

Step-by-step explanation:

307 is a prime number.

The way to find this out is to take 0.614 and multiply it by 1,000 because then it will be a natural number. 0.614*1,000=614.

now you take 614/1,000 because that's what you multiplied it by and simplify it.

614/2 and 1,000/2=307/500 and this cannot be simplified any more than this because 307 is a prime number.

Answer:

slow down plz

Step-by-step explanation:

there ain't no way that is ur work

Answer:

Jackson's opponents planned to use the bank to defeat him in the 1832 presidential campaign. Senators Henry Clay and Daniel Webster were friends of Biddle. ... They thought that if Jackson tried to veto, or reject, the renewal of the charter, he would lose support.

Step-by-step explanation:

The best choice that describes the relationship between the variables shown in the graph is (d) there is a strong, positive correlation between years of college and income.

From the given choices, it is clear that as years of college increase, so does the income of individuals. This indicates a strong, positive correlation between the two variables. While going to college may have some impact on income, we cannot conclude that it is the sole cause for higher income (e). Similarly, choices (a), (b), and (c) provide incomplete or biased conclusions.

The relationship between the variables in the graph is best described as a strong, positive correlation between years of college and income, demonstrating that individuals with more years of college generally earn more.

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Answer:

1/2 = 3/6

1/3 = 4/12

1/5 = 2/10

1/4 = 5/20

Step-by-step explanation:

To make equivalent fractions, you need multiply by 1. A number divided by itself is 1.

1/1 * x/x = x/x = 1

1/2 = 3/6

\(\frac{1}{2} * \frac{3}{3} = \frac{3}{6}\)

1/3 = 4/12

\(\frac{1}{3} * \frac{4}{4} = \frac{4}{12}\)

1/5 = 2/10

\(\frac{1}{5} * \frac{2}{2} = \frac{2}{10}\)

1/4 = 5/20

\(\frac{1}{4}*\frac{5}{5}=\frac{5}{20}\)

Hope this helps :)

Have a great day!

(a) ( x_{t+1}=\frac{1}{2} x_{t}+3 ), the solution to this difference equation is x_t = 2^t + 3, The difference equations in this problem are both linear difference equations with constant coefficients.

This can be found by solving the equation recursively. For example, the first few terms of the solution are

t | x_t

--- | ---

0 | 3

1 | 7

2 | 15

3 | 31

The general term of the solution can be found by noting that

x_{t+1} = \frac{1}{2} x_t + 3 = \frac{1}{2} (2^t + 3) + 3 = 2^t + 3

(b) ( x_{t+1}=-3 x_{t}+4 )

The solution to this difference equation is

x_t = 4 \cdot \left( \frac{1}{3} \right)^t + 4

This can be found by solving the equation recursively. For example, the first few terms of the solution are

t | x_t

--- | ---

0 | 4

1 | 5

2 | 2

3 | 1

The general term of the solution can be found by noting that

x_{t+1} = -3 x_t + 4 = -3 \left( 4 \cdot \left( \frac{1}{3} \right)^t + 4 \right) + 4 = 4 \cdot \left( \frac{1}{3} \right)^t + 4

The difference equations in this problem are both linear difference equations with constant coefficients. This means that they can be solved using a technique called back substitution.

Back substitution involves solving the equation recursively, starting with the last term and working backwards to the first term.

In the first problem, the equation can be solved recursively as follows:

x_{t+1} = \frac{1}{2} x_t + 3

x_t = \frac{1}{2} x_{t-1} + 3

x_{t-1} = \frac{1}{2} x_{t-2} + 3

...

x_0 = \frac{1}{2} x_{-1} + 3

The general term of the solution can be found by noting that

x_{t+1} = \frac{1}{2} x_t + 3 = \frac{1}{2} (2^t + 3) + 3 = 2^t + 3

The second problem can be solved recursively as follows:

x_{t+1} = -3 x_t + 4

x_t = -3 x_{t-1} + 4

x_{t-1} = -3 x_{t-2} + 4

...

x_0 = -3 x_{-1} + 4

The general term of the solution can be found by noting that

x_{t+1} = -3 x_t + 4 = -3 \left( 4 \cdot \left( \frac{1}{3} \right)^t + 4 \right) + 4 = 4 \cdot \left( \frac{1}{3} \right)^t + 4

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The correct answers are line and segment.

The zeroes of the function that models the height of a ball after it is thrown are t = 1 and t = - 1 / 2.

We are given  h ( t ) =  ( 1 - t ) ( 8 + 16 t)

We can find the zeros by setting them to zero :

( 1 - t ) = 0

t = 1

( 8 + 16 t ) = 0

16 t = - 8

t = - 8 / 16

t = -1 / 2

The zeroes signify moments when the ball's height is at or below ground level. Solely one zero possesses significance in a physical sense since negative time lacks relation to reality, t = 1 marking the point at which the ball arrives at the ground, denoting a period spanning only one second.

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Answer:-4-9

Step-by-step explanation:

For the answer of factors of expression (12 + 54), in the form of a(b + c), where a is the GCF of 12 and 54 is equals to 6( 2 + 9).

In math, to factor a number means to express it as a product of (other) whole numbers, called its factors. For example, if 7x5 = 35, 7 and 5 are both factors. The divisors that give the remainder to be 0 are the factors of the number. We have an expression of numbers, 12 + 54. We have to write this expression in form of a( b + c), where a is GCF of 12 and 54. Now, we can write the factors of 12 and 54 are 12 = 2×2×3

54 = 2×3 ×3×3

The greatest common factor, GCF of 12 and 54 is 2×3 = 6. So, 12 + 54 = 6× 2 + 6×9

Taking out the common factor 6 from above expression, 6( 2 + 9) which is required form a( b + c). Hence, required expression is 6( 2 + 9).

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The QR factorization of the given matrix ⎣⎡1717​0727​1816​⎦⎤​ can be calculated using paper and pencil. The QR factorization consists of finding an orthogonal matrix Q and an upper triangular matrix R such that the original matrix is equal to the product of Q and R.

To perform the QR factorization, we need to use methods such as Gram-Schmidt orthogonalization or Householder transformations. These methods involve a series of calculations and manipulations to obtain the desired factorization. It requires visual representation and extensive numerical calculations.

However, you can perform the QR factorization of the matrix ⎣⎡1717​0727​1816​⎦⎤​ by following the steps of Gram-Schmidt orthogonalization or employing other suitable methods on paper and pencil. The resulting orthogonal matrix Q and upper triangular matrix R, when multiplied together, should reconstruct the original matrix.

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find the QR factorizations of the matrices in ⎣⎡1717​0727​1816​⎦⎤​

Answer:

14u

Step-by-step explanation:

6u+6u–3u+5u

= 12u - 3u + 5u

= 9u + 5u

= 14u

So, the answer is 14u

Here is how you can evaluate ∮C​xy³dx + x²dy, where C is the rectangle with vertices (0,0),(3,0),(3,2), and (0,2)There are two methods for calculating line integrals, and they are as follows:Green's Theorem is a method of calculating line integrals.

If a curve C is a simple closed curve in the plane whose boundary is the oriented curve C, Green's Theorem states that

∫C Pdx+Qdy=∫∫R (∂Q/∂x−∂P/∂y)dA, where R is the area enclosed by C, which is traversed counterclockwise.Although we could use Green's Theorem here, it's a bit overkill. So we'll go with the direct computation method:To start, we parameterize the sides of the rectangle. We get the following result:

AB, x = t,

y = 0BC,

x = 3,

y = tCD,

x = t,

y = 2DA,

x = 0,

y = tThe integral is then evaluated as follows:

∮C​xy³dx + x²dy=∫AB​xy³dx+∫BC​xy³dx+∫CD​xy³dx+∫DA​xy³dx+∫AB​x²dy+∫BC​x²dy+∫CD​x²dy+∫DA​x²dy∫AB​xy³

dx=∫03​0dt∫BC​xy³

dx=∫20​3t·y³

dy=3t(y⁴/4)|

20=15∫CD​xy³

dx=∫32​t·y³

dy=3t(y⁴/4)|

02=0∫DA​xy³

dx=∫20​0

dt=0∫AB​x²

dy=∫03​0x²·0

dy=0∫BC​x²

dy=∫20​3²·

tdt=9∫CD​x²

dy=∫32​(3-t)²·2

dt=6∫DA​x²

dy=∫20​0

dy=0Finally, add them all up:15 + 0 + 0 + 9 + 6 + 0 + 0 + 0 = 30So the line integral's value is 30, that is

∮C​xy³dx + x²dy = 9.

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The improper integral ∫ 1/x dx from 0 to ∞ is divergent. The improper integral ∫ 1/x dx from 0 to ∞ represents the integral of the function 1/x with respect to x over the interval from 0 to positive infinity.

To determine whether this integral is convergent or divergent, we need to evaluate it.

Let's split the integral into two parts: from 0 to 1 and from 1 to ∞.

∫(0 to 1) 1/x dx

This part of the integral is a finite integral, and it can be evaluated as:

∫(0 to 1) 1/x dx = [ln|x|] (0 to 1) = ln(1) - ln(0)

However, ln(0) is undefined, so this part of the integral does not converge.

Now let's evaluate the second part of the integral:

∫(1 to ∞) 1/x dx

This integral represents the area under the curve of the function 1/x from 1 to ∞. This is a well-known integral and is known to diverge. As x approaches infinity, the value of 1/x approaches 0, but it never reaches 0. Therefore, the area under the curve keeps increasing indefinitely, and the integral diverges.

Since either part of the integral diverges, the overall integral ∫ 1/x dx from 0 to ∞ is divergent.

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Answer:

the "componential analysis" of the skill. This analysis breaks down the complete skill into its various components and determines the proportion of time required by each component during the performance of the skill. This can help in identifying the strengths and weaknesses of an individual's performance and improving their overall skill proficiency.

Step-by-step explanation:

The ordered pair (a, b) that is a solution to the given system of linear equations is (-13, 4) (option b).

The given system of linear equations is:

1) -2a + 3b = -14

2) a - 4b = -3

Let's substitute the values of a and b from each ordered pair and check if they satisfy both equations.

a) (-13, 74)

Substituting into the equations:

1) -2(-13) + 3(74) = -14 (True)

2) (-13) - 4(74) = -3 (False)

Since the second equation is not satisfied, (-13, 74) is not a solution to the system of equations.

b) (-13, 4)

Substituting into the equations:

1) -2(-13) + 3(4) = -14 (True)

2) (-13) - 4(4) = -3 (True)

Both equations are satisfied by (-13, 4), so it is a solution to the system of equations.

c) (24, -13)

Substituting into the equations:

1) -2(24) + 3(-13) = -14 (False)

2) (24) - 4(-13) = -3 (False)

Neither equation is satisfied by (24, -13), so it is not a solution to the system of equations.

d) (54, 13)

Substituting into the equations:

1) -2(54) + 3(13) = -14 (False)

2) (54) - 4(13) = -3 (False)

Neither equation is satisfied by (54, 13), so it is not a solution to the system of equations.

Therefore, the only ordered pair (a, b) that is a solution to the given system of linear equations is (-13, 4) (option b).

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Answer:

383.54 m

Step-by-step explanation:

The length of the training track running around the field = circumference of the circle formed by the two semicircles + 2(length of the rectangle)

The two semicircles forms a fill circle with diameter (d) = width of rectangle = 61 m

Length of rectangle (L) = 96 m

π = 3.14

The length of the training track running around the field = πd + 2(L)

Substitute the values

The length of the training track running around the field = 3.14*61 + 2(96)

= 191.54 + 192

= 383.54 m

Answer:

2 11/12 cups of flour

Step-by-step explanation:

well 2 recipes is 2 1/2 cups of flour

1/3 is 1/3 x 1 1/4= 1/3 + 1/12= 5/12

so 2 11/12 cups of flour

Answer:

A ( -4, -7)

Step-by-step explanation:

if you translate -1, three units to the left u get -4 and then when u go nine units down u get -7 do it on a grid and u will see wut im talkin about : )

Answer:

A.

Step-by-step explanation:

The integrating factor for the given differential equation is u(y) = e^t, and the simplified form of the equation after multiplying by the integrating factor is e^t y' - ∫e^(2t) y dt = C.

To solve the given differential equation y'' + 2y' - e^t y = 0, we can find a suitable integrating factor u(y).
Step 1: Write the given equation in standard form: y'' + 2y' - e^t y = 0.

Step 2: Identify the coefficients of y'' (1), y' (2), and y (e^t).

Step 3: To find the integrating factor u(y), we multiply the entire equation by u(y) such that u(y) y'' + u(y) 2y' - u(y) e^t y = 0.

Step 4: We aim to choose u(y) in such a way that the left-hand side becomes the derivative of a product rule.

Step 5: For this equation, the suitable integrating factor u(y) = e^t.

Step 6: Multiply the original equation by e^t: e^t y'' + 2e^t y' - e^(2t) y = 0.

Step 7: Notice that the left-hand side is now the derivative of (e^t y').

Step 8: Rewrite the equation: d/dt (e^t y') - e^(2t) y = 0.

Step 9: Integrate both sides with respect to t: ∫d/dt (e^t y') dt - ∫e^(2t) y dt = 0.

Step 10: Simplify and solve for y: e^t y' - ∫e^(2t) y dt = C, where C is the constant of integration.

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Part A: least-squares regression line' equation: Test score = 85.706 - 1.1171 (row).

Part B:  slope of the least-squares regression line. Slope = 1.1171.

A least-squares regression line, typically minimises the vertical distance between the data points and the regression line, is the line that best fits a linear connection among two variables when the data indicates such a relationship. Since it represents the smallest total squared of errors, also known as the "variance," the phrase "least squares" is used to describe it.

Part A:  least-squares regression line' equation:

Take the values for test score from the attached table for Coef:

Test score = constant - row

Test score = 85.706 - 1.1171

Part B:  slope of the least-squares regression line.

As there is increase of 1 row,  the predicted test core reduced by the value 1.1171.

Slope = 1.1171.

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Complete question:

Does seat location matter? Many people believe that students learn better if they sit closer to the front of the classroom Does sitting closer cause higher achievement; or do better students simply choose sit in the front? To investigate, AP Statistics teacher randomly assigned 30 students seat locations in his classroom for particular chapter and recorded the test score for each student at the end of the chapter: The explanatory variable in this experiment is which row the students were assigned (row is closest to the front and row 7 is the farthest away).

Part A: state the equation of  least-squares regression line?

Part B: Interpret the slope of the least-squares regression line in this context.

The data is shown in table:

Answer:

answer attached

Step-by-step explanation:

hope this helps!

Answer:

17 degrees F

Step-by-step explanation:

11 - (-6) = 17

Subtracting a negative is the same as adding.

The equation of the tangent line to the curve y = ln(x^2 - 9x + 1) at the point (9, 0) is y = (-7/71)x + (63/71).

To find the equation of the tangent line to the curve y = ln(x^2 - 9x + 1) at the point (9, 0), we first need to find the derivative of the function:

y = ln(x^2 - 9x + 1)
y' = (2x - 9) / (x^2 - 9x + 1)

Next, we plug in the x-value of the given point to find the slope of the tangent line:

y'(9) = (2(9) - 9) / (9^2 - 9(9) + 1) = -7/71

So the slope of the tangent line at the point (9, 0) is -7/71. To find the equation of the tangent line, we use the point-slope form:

y - 0 = (-7/71)(x - 9)

Simplifying, we get:

y = (-7/71)x + (63/71)

Therefore, the equation of the tangent line to the curve y = ln(x^2 - 9x + 1) at the point (9, 0) is y = (-7/71)x + (63/71).

To find the equation of the tangent line to the curve y = ln(x^2 - 9x + 1) at the point (9, 0), we need to find the slope of the tangent line at that point. To do this, we first find the derivative of the function with respect to x:

y'(x) = d(ln(x^2 - 9x + 1))/dx

Using the chain rule, we have:

y'(x) = (1/(x^2 - 9x + 1)) * (2x - 9)

Now, we need to find the slope of the tangent line at the given point (9, 0) by evaluating the derivative at x = 9:

y'(9) = (1/(9^2 - 9*9 + 1)) * (2*9 - 9)
y'(9) = (1/(81 - 81 + 1)) * (18 - 9)
y'(9) = (1/1) * 9
y'(9) = 9

Now that we have the slope, we can use the point-slope form of the equation of a line to find the tangent line:
y - y1 = m(x - x1)

Using the point (9, 0) and the slope m = 9:
y - 0 = 9(x - 9)

So the equation of the tangent line is:
y = 9(x - 9)

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Answer:

Your input has more than one equals sign. Is this equation even written correctly?

Step-by-step explanation:

Answer:

(x,w)=(3/5,-9/85) i think

hope this hepls.

Answer:

21 days.

Step-by-step explanation:

To solve this, divide the cost of lunch from the initial amount in his account. Therefore:

58.19 = 2.74x ('x' being the number of days)

Divide both sides by 2.74:

\(\frac{58.19}{2.74} = \frac{2.74x}{2.74}\)

x ≈21.24, or 21 days.

***Since you use whole numbers when counting days, round down to determine the amount of days he can buy lunch. Thus, he can buy lunch for 21 days.

Given:

Annual earnings = $17,500

Asked: What is the gross amount of her semimonthly paycheck?

Solution:

To find the answer, we need to divide first the annual earnings by 12 to get the monthly paycheck. After that, we will divide it by 2 because we are looking for the semimonthly paycheck.

ANSWER: C. $729.17

Answer:

I got chuuuu

————————-

Answer:

w

Step-by-step explanation: