Please help!!!!!!!!!!!!

Answer:

The answer is B.

Step-by-step explanation:

The original graph of y = x^2 has a vertex at (0,0)

The formula for graph translations is y = (x-#)^2+#

The number inside the parentheses is a horizontal translation.

So, we are given y = (x-(-3))^2+#

The vertex of the graph moves 3 points left, since the number is negative (-3).

The number at the end of the equation is a vertical translation.

So, we are given y = (x+3)^2+4

The vertex of the graph moves 4 points up, since the number is positive (4).

The new vertex is at (-3,4)

Answer:

PQ = 31

Step-by-step explanation:

Assuming you're the same person I helped before and this still has Q as the midpoint of PR, we get PQ = QR.

\(PQ=2x+1=QR=5x-44\\2x+1=5x-44\\1=3x-44\\45=3x\\15=x\\x=15\\\\PQ=2(15)+1\\PQ=30+1\\PQ=31\)

Solution :

In the given question, P is mid point of PQ, therefore

let's solve for x :

\( \hookrightarrow \: 2x + 1 = 5x - 44\)

\( \hookrightarrow \: 5x - 2x = 1 + 44\)

\( \hookrightarrow \: 3x = 45\)

\( \hookrightarrow \: x = 45 \div 3\)

\( \hookrightarrow \: x = 15\)

now, let's find measure of PQ :

\( \hookrightarrow \: PQ = 2x + 1\)

\( \hookrightarrow \: PQ = (15 \times 2) + 1\)

\( \hookrightarrow \: PQ = 30 + 1\)

\( \hookrightarrow \: PQ = 31 \: \: units\)

The addition of the two equations is 2x = 16 and x = 8

Given data ,

Let the first equation be A

5x - 2y = 42

Let the second equation be B

-3x + 2y = -26

Adding equations A and B , we get

2x + 0 = 16

On simplifying , we get

2x = 16

Divide by 2 on both sides , we get

x = 8

Hence , the equation is solved and x = 8

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Answer:

B

Step-by-step explanation:

The equation is y=mx+b

m=slope

b=y-intercept

Answer:

b

Step-by-step explanation:

The slope intercept form of a line  is given by

y = mx+b  where m is the slope and b is the y intercept

1) equation: f(x) = 6e^(ln(⅓) • x) or 6(10)^(log(1/3) • x)

table:

x | y

-1 20

0 6

1 2

2) is cut off, I can't see the rest of the graph.

Answer:110 degrees

Step-by-step explanation:

L1 and L2 are parallel so the angle above angle 1 is 70 degrees too. Then the angle that is right next to that 70 degrees is 110 because a straight line equal 180 degrees. And whatever angle that is diagonal from angle 1 is the same degrees. So, since it's 110 degrees diagonal from angle 1 then angle 1 is also 110 degrees.

Answer:

A

Step-by-step explanation:

because it is

Answer: there's a 50-50 chance of at least two people having the same birthday.

In a group of 50 people, the expected number of days of the year which are one of their birthdays can be determined using the concept of probability which are one of their birthdays is approximately 194 days.

The expected number of days of the year which are one of their birthdays in a group of 50 people can be calculated using the formula E(X) = np, where n is the number of trials and p is the probability of success in each trial. In this case, there are 50 people and 365 days in a year, so each person has a probability of 1/365 of having their birthday on a particular day. Therefore, the expected number of people with a birthday on any given day is 50*(1/365) = 0.137. Since there are 365 possible days, we can multiply this by 365 to get the expected number of days with at least one birthday, which is approximately 50.034 days. So, the expected number of days of the year which are one of their birthdays in a group of 50 people is around 50.034.
In a group of 50 people, the expected number of days of the year which are one of their birthdays can be determined using the concept of probability.
Assuming that each person's birthday is equally likely to fall on any of the 365 days in a year (ignoring leap years), the probability of any particular day being a birthday is 1/365.
Now, the probability of a day not being a birthday for a single person is (364/365). For 50 people, the probability of a day not being any of their birthdays would be (364/365)^50.
To find the expected number of days with at least one birthday, we can calculate the probability of a day having at least one birthday, which is the complement of no birthdays on that day. This probability is:
1 - (364/365)^50
Now, we multiply this probability by the total number of days in a year to find the expected number of days with at least one birthday:
365 * (1 - (364/365)^50) ≈ 194.03
So, in a group of 50 people, the expected number of days of the year which are one of their birthdays is approximately 194 days.

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The solution to the given initial value problem, obtained using Laplace transforms, is y(x) = 0. This means that the function y(x) is identically zero for all values of x.

To find the solution of the initial value problem using Laplace transforms for the equation d²y/dx² + 9y = 9sin(t)u(t - 3), where y(0) = y'(0) = 0, we can follow these steps:

Take the Laplace transform of the given differential equation.

Applying the Laplace transform to the equation d²y/dx² + 9y = 9sin(t)u(t - 3), we get:

s²Y(s) - sy(0) - y'(0) + 9Y(s) = 9 * (1/s² + 1/(s² + 1))

Since y(0) = 0 and y'(0) = 0, the Laplace transform simplifies to:

s²Y(s) + 9Y(s) = 9 * (1/s² + 1/(s² + 1))

Solve for Y(s).

Combining like terms, we have:

Y(s) * (s² + 9) = 9 * (1/s² + 1/(s² + 1))

Multiply through by (s² + 1)(s² + 9) to get rid of the denominators:

Y(s) * (s⁴ + 10s² + 9) = 9 * (s² + 1)

Simplifying further, we have:

Y(s) * (s⁴ + 10s² + 9) = 9s² + 9

Divide both sides by (s⁴ + 10s² + 9) to solve for Y(s):

Y(s) = (9s² + 9)/(s⁴ + 10s² + 9)

Partial fraction decomposition.

To proceed, we need to decompose the right side of the equation using partial fraction decomposition:

Y(s) = (9s² + 9)/(s⁴ + 10s² + 9) = A/(s² + 1) + B/(s² + 9)

Multiplying through by (s⁴ + 10s² + 9), we have:

9s² + 9 = A(s² + 9) + B(s² + 1)

Equating the coefficients of like powers of s, we get:

9 = 9A + B

0 = A + B

Solving these equations, we find:

A = 0

B = 0

Therefore, the decomposition becomes:

Y(s) = 0/(s² + 1) + 0/(s² + 9)

Inverse Laplace transform.

Taking the inverse Laplace transform of the decomposed terms, we find:

L^(-1){Y(s)} = L^(-1){0/(s² + 1)} + L^(-1){0/(s² + 9)}

The inverse Laplace transform of 0/(s² + 1) is 0.

The inverse Laplace transform of 0/(s² + 9) is 0.

Combining these terms, we have:

Y(x) = 0 + 0

Therefore, the solution to the initial value problem is:

y(x) = 0

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Answer:

800

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The slope of the line of best fit is {m} = 3.

Given is the the graph shows the total number of comic books in Brandon's collection at the end of every month for the year 2014. The line of best fit for the data is given by the equation → y = 3x + 22, where {y} is the total number of comic books in Brandon's collection {x} months after the beginning of the year 2014.

The given equation is -

y = 3x + 22

The general equation of the line is -

y = mx + c

where -

{m} is slope

{c} is y - intercept.

The slope of the line of the best fit would be -

{m} = 3

Therefore, the slope of the line of best fit is {m} = 3.

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Answer: it is D

Step-by-step explanation:

the ratio of the line segment joining the points (-3, 1) and (-8, 9) is 5:4. The ratio of the line segment joining the points (-3, 1) and (-8, 9) is calculated by subtracting the x-coordinates and y-coordinates of the two points.

5:4

Given two points, (x1, y1) and (x2, y2)

The ratio of the line segment joining the points is:

(x2 - x1) : (y2 - y1)

Therefore, the ratio of the line segment joining the points (-3, 1) and (-8, 9)

The ratio of the line segment joining the points (-3, 1) and (-8, 9) is calculated by subtracting the x-coordinates and y-coordinates of the two points. Specifically, the ratio is given by the expression (x2 - x1) : (y2 - y1). In this case, the x-coordinates are -3 and -8, and the y-coordinates are 1 and 9. By substituting these values into the expression, we get ( -8 - (-3)) : (9 - 1) which simplifies to ( -5 ) : ( 8 ). Therefore, the ratio of the line segment joining the points (-3, 1) and (-8, 9) is 5:4.

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2y = 2y. As the two partial derivatives are equal, the curl of the vector field F is zero. Therefore, F is a conservative vector field.

Based on the given vector field F(x, y) = (y^2 - 2x)i + 2xyj, we can determine whether or not F is a conservative vector field by checking if it satisfies the conditions for being conservative.

A vector field is conservative if its curl is zero, meaning that the partial derivative of the second component (2xy) with respect to x is equal to the partial derivative of the first component (y^2 - 2x) with respect to y. Mathematically, this can be represented as:

∂(2xy)/∂x = ∂(y^2 - 2x)/∂y

Taking the partial derivatives, we get:

2y = 2y

As the two partial derivatives are equal, the curl of the vector field F is zero. Therefore, F is a conservative vector field. In a conservative vector field, the work done by the force is path-independent, and the potential energy can be defined as a function of position.

This means that the work done in moving an object from one point to another within the field only depends on the initial and final positions, and not on the specific path taken.

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in an election debate, two candidates for governor are debating about whether to raise the general sales tax from 5 to 7 percent, so candidate a assumes that the price effect would be larger than the quantity effect.

When a tax is added on a good or service at the point of sale and is financed by the client, it is known as general sales tax. The store is then obligated to transmit, or remit, the tax to the government.

Candidate a contends that revenue will rise along with the sales tax as it rises from 5 to 7 percent. This suggests that the price impact is greater than the quantity effect since, when the tax is raised, the price would rise and the quantity would fall. As a result, the tax revenue would only rise if the price effect is more than the quantity effect.

Additionally, Candidate b claims that the tax will harm consumers and merchants, slow the economy, and reduce tax revenue. However, this claim can only be supported if the quantity effect outweighs the price effect.

Candidate a assumes that the price effect would be larger than the quantity effect.

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The probability of picking a blue shape is 2/7.

Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1.

From the information, in the bag of shapes there are different amounts of blue shapes, red shapes and yellow shapes. (3 red, 4 blue and 7 yellow).

The total shapes will be:

= 3 + 4 + 7

= 14

The probability of picking a blue shape will be:

= Number of blue shape / Total number

= 4/14

= 2/7

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Complete question

In your bag of shapes there are different amounts of blue shapes, red shapes and yellow shapes. (3 red, 4 blue and 7 yellow). What is the probability of picking a blue shape.

Answer:

10^2

Step-by-step explanation:

when bases are same and exponents are in division we subtract the exponents.

so 10^6-4 = 10^2

Answer:

10^2

Step-by-step explanation:

10^6 / 10^4 =

10 x 10 x 10 x 10 x 10 x 10 <------- 6 times 10

------------------------------------

10 x 10 x 10 x 10 <--------- 4 times 10

Simplify and you get

10 x 10 = 10^2

Answer:

around 81.2 degrees

Step-by-step explanation:

use inverse tangent

remeber tan = O/H

divide it first

84/13

6.461538461538462

then use invese tan(\(tanx^{-1}\))

81.20258929000894

or around 81.2 degrees

Answer: `h² + 18h + 108`

We have to evaluate the difference quotient of the formula `f(x) when `f(6+ h)?

f(6)` and the expression will be simplified by dividing it by 'h.'

Difference quotient:

The difference quotient is a formula used to find the average rate of change of a function over a specific interval. The difference quotient is defined as:```f(x + h) - f(x) / h```

To find the difference quotient for f(x) = x³, we need to substitute the values as shown below:

f(x + h) = (6 + h)³f(x) = 6³f(x + h) - f(x) = (6 + h)³ - 6³

Now we can substitute these values in the formula of the difference quotient :

'f (6+ h). f(6)`h = (6 + h)³ - 6³ - h/ h

By simplifying the difference quotient we get;`

(6 + h)³ - 6³ - h/ h = (6³ + 3 * 6²h + 3 * 6h² + h³ - 6³) / h`

After simplifying the expression above, the terms 6³ and -6³ cancel out.

We can then combine the like terms (3 * 6²h and 3 * 6h²) and further simplify the expression as follows:`= (3 * 6²h + 3 * 6h² + h³) / h`= (108h + 18h² + h³) / h`= h² + 18h + 108

Answer: `h² + 18h + 108`

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The linear equation that gives the rule for this table is y = -5x + 15

The table of values is given as:

x y

1 10

2 5

3 0

4 –5

On the above table, we can see that:

As x increases by 1, the value of y decreases by 5

This means that the slope is

Slope = -5

Also, the above table can be modified as follows (using the slope of -5)

x y

0 15

1 10

2 5

3 0

4 –5

This means that the y-intercept is

y-intercept = 15

A linear equation is represented as

y = slope * x + y-intercept

So, we have

y = -5x + 15

So, the equarion is y = -5x + 15

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In the given scenario, a homogeneous bar of length l and mass m is located at a distance h from a point mass m.

The force exerted on the point mass m can be determined using the principles of gravitational attraction and torque. The force experienced by m is directed towards the bar and is given by the equation F = (G * m^2 * l) / (h^2 * (l^2 + h^2)^(3/2)), where G represents the gravitational constant. This force arises due to the gravitational interaction between the point mass and the bar, which exerts a torque on m.

The force on the point mass m can be derived by considering the gravitational attraction between the point mass and small elements of the bar. Each small element of the bar exerts a gravitational force on m, and the total force is obtained by integrating the contributions from all the elements.

The force exerted by a small element of the bar on m can be expressed as F_element = (G * dm * m) / r^2, where G is the gravitational constant, dm is the mass of the small element, and r is the distance between the small element and m.

To determine the total force on m, we integrate F_element over the length of the bar:

F = ∫[(G * dm * m) / r^2] = ∫[(G * m * dx) / x^2],

where dx is an infinitesimally small element of length along the bar.

Using the given information that the bar is homogeneous, the mass per unit length is m/l. Therefore, dm = (m/l) * dx, and the integral becomes:

F = ∫[(G * m * dx) / x^2] = (G * m^2 / l) ∫[dx / x^2] = (G * m^2 / l) * (-1/x) + C,

where C is the constant of integration.

Applying the limits of integration, assuming x varies from h to h + l, we have:

F = (G * m^2 / l) * (1/h - 1/(h + l)) = (G * m^2 * l) / (h * (l^2 + h^2)).

Thus, the force on m, F, is given by the equation F = (G * m^2 * l) / (h * (l^2 + h^2)), which represents the gravitational attraction between the point mass m and the homogeneous bar.

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If Triangle ABC is reflected over the line y = 1. Then the coordinates of B' are (-2, 5)

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Graph transformation is the process by which an existing graph, or graphed equation, is modified to produce a variation of the proceeding graph.

Now, we should reflect point B with respective to line y=1,

let us consider the reflected point coordinates be (h,k).

As  B is reflected with respect to line y=1 which is parallel to X-axis, the X-coordinate will be same.

and the midpoint of B and reflected point (h,k)  lies on line y=1

Hence h=-2 and (K-3)/2=1

k-3=2

k=5

Hence the reflected point of B i.e B' is (-2, 5)

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The specified value of n for trapezoidal rule, the midpoint rule, and simpson's rule is 10.36 , 10.72 and 10.52.

Trapezoidal Rule: In Calculus, “Trapezoidal Rule” is one of the important integration rules. The name trapezoidal is because when the area under the curve is evaluated, then the total area is divided into small trapezoids instead of rectangles. This rule is used for approximating the definite integrals where it uses the linear approximations of the functions.

The trapezoidal rule is mostly used in the numerical analysis process. To evaluate the definite integrals, we can also use Riemann Sums, where we use small rectangles to evaluate the area under the curve.

Midpoint rule : In mathematics, the midpoint rule, also known as the midpoint Riemann sum or midpoint method, is a method of estimating the integral of a function or the area under a curve by dividing the area into rectangles of equal width. The midpoint rule formula is. The midpoint method formula works by summing the areas of each of the rectangles to produce an estimate for the area under a curve.

Simpson's Rule: Simpson's rule is used to find the value of a definite integral (that is of the form b∫ₐ f(x) dx) by approximating the area under the graph of the function f(x). While using the Riemann sum, we calculate the area under a curve (a definite integral) by dividing the area under the curve into rectangles whereas while using Simpson's rule, we evaluate the area under a curve is by dividing the total area into parabolas. Simpson's rule is also known as Simpson's 1/3 rule (which is pronounced as Simpson's one-third rule).

Now,

a=1,b=4,Δx =(b-a)/n =3/6 =1/2

f(x)=4√(ln(x))

trapezoidal rule:

∫4√(ln(x)) dx =(Δx /2)[f(1)+2*[f(1.5)+f(2)+f(2.5)+f(3)+f(3.5)]+f(4)]

∫4√(ln(x)) dx =((1/2) /2)[4√(ln(1))  +2*[4√(ln(1.5)) +4√(ln(2)) +4√(ln(2.5)) +4√(ln(3)) +4√(ln(3.5))] +4√(ln(4))]

∫4√(ln(x)) dx =10.365336

midpoint rule :

∫4√(ln(x)) dx =(Δx)[f(1.25)+f(1.75)+f(2.25)+f(2.75)+f(3.25)+f(3.75)]]

∫4√(ln(x)) dx =(1/2)[4√(ln(1.25))  +4√(ln(1.75)) +4√(ln(2.25)) +4√(ln(2.75)) +4√(ln(3.25)) +4√(ln(3.75)) ]

∫4√(ln(x)) dx =10.724182

simpsons rule:

∫4√(ln(x)) dx =(Δx /3)[f(1)+4*f(1.5)+ 2*f(2)+ 4*f(2.5)+  2*f(3)+  4*f(3.5)]+f(4)]

∫4√(ln(x)) dx =((1/2) /3)[4√(ln(1))  +4*4√(ln(1.5)) +  2*4√(ln(2))  +4*4√(ln(2.5))  +2*4√(ln(3)) + 4*4√(ln(3.5)) +4√(ln(4))]

∫4√(ln(x)) dx =10.527905

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The probability to answer 5 questions correctly from 14 true or false questions is 0.1222

The given situation represents a binomial experiment, where there are only two possible outcomes for each trial: success (answering correctly) and failure (answering incorrectly). To find the probability of a particular number of successes, we use the binomial probability formula:

P(x)= nCx × p^x × q^(n-x)

Where, n is the total number of trials, p is the probability of success on each trial, q is the probability of failure on each trial (1-p), and x is the number of successes desired.

n = 14 (total number of questions)

p = 1/2 (probability of answering correctly when guessing randomly), and q = 1/2 (probability of answering incorrectly when guessing randomly).

To find P(5), we substitute these values in the formula

P(5) = 14C5 * (1/2)^5 * (1/2)^9= 2002 * (1/32) * (1/512)= 2002 / 16384≈ 0.1222

Therefore, the answer is option D, 0.1222.

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Answer:

102 beads will be used for each necklace.

Step-by-step explanation:

3,264/32=102

Answer:

7

Step-by-step explanation:

The middle 2 numbers are 6 and 8. Add them both up and divide them by 2. Gets you 7.

Answer:

y4.5

Step-by-step explanation:

Answer:

x = -4

Step-by-step explanation:

5/3x + 4 = 2/3x

5/3*(-4) + 4 = 2/3*(-4)

8/3 = 8/3