The graph of f(x) |x] is reflected across the y-axis and
translated to the left 5 units. Which statement about the
domain and range of each function is correct?

A. Both the domain and range of the transformed
function are the same as those of the parent function.

B. Neither the domain nor the range of the transformed
function are the same as those of the parent function.

C. The range of the transformed function is the same as
the parent function, but the domains of the functions
are different.

D. The domain of the transformed function is the same
as the parent function, but the ranges of the functions
are different.

Answer:

Overall, available research suggests jurors exposed to pretrial publicity are more likely to favor the prosecution.

0.0027 is the association between the quantity of beers d (x) and blood alcohol concentration (y) was investigated using least squares regression.

Given that,

In 16 male college students, the association between the quantity of beers d (x) and blood alcohol concentration (y) was investigated using least squares regression. This research produced the regression equation shown below: y= -0.0127 + 0.0180x Suppose a blood alcohol level of 0.08 is required to legally operate a vehicle.

We know that,

When five bears d, use x=5 to calculate the blood alcohol concentration.

y= -0.0127+0.0180*5=0.0773

So, his alcohol level is 0.0773 . this is clearly below legal level of 0.08

Then difference between his level and legal level= 0.08-0.0773= 0.0027

So, correct answer is

0.0027 below the legal limit

Therefore, 0.0027 is the association between the quantity of beers d (x) and blood alcohol concentration (y) was investigated using least squares regression.

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Answer:

Step-by-step explanation:

If it is not possible to draw a vertical line to touch the graph of a function in more than one place, then y is a function of x. For Example: Use the vertical line test to determine if the graph depicts y is a function of x.

Answer:

I'm not sure if this is what you want to be solved.

Answer:

5R + 5C = 1000

1R + 2C = 275

(1R + 2C = 275) x 5 = 5R + 10C = 1375

(5R + 10C = 1375) - (5R + 5C = 1000) = 5C =375

CRAYON = 75p

RUBBER = 125p

Answer:

768

Step-by-step explanation:

Define the variable:

Given information:

Create an equation with the defined variable and the given information:

[tex]\implies x - \dfrac{1}{3}x-320=\dfrac{1}{4}x[/tex]

Solve for x:

[tex]\implies \dfrac{2}{3}x-320=\dfrac{1}{4}x[/tex]

[tex]\implies \dfrac{2}{3}x-320-\dfrac{1}{4}x=\dfrac{1}{4}x-\dfrac{1}{4}x[/tex]

[tex]\implies \dfrac{5}{12}x-320=0[/tex]

[tex]\implies \dfrac{5}{12}x-320+320=0+320[/tex]

[tex]\implies \dfrac{5}{12}x=320[/tex]

[tex]\implies 12 \cdot \dfrac{5}{12}x= 12 \cdot 320[/tex]

[tex]\implies 5x=3840[/tex]

[tex]\implies \dfrac{5x}{5}=\dfrac{3840}{5}[/tex]

[tex]\implies x=768[/tex]

Therefore, Mr Cho received 768 eggs in the beginning.

Total eggs be x

Form a equation

The given statement a stiff equation is a differential equation where some numerical solution approaches are numerically stable unless you use extremely small step sizes.is false.

What is a stiff equation

While integrating a differential equation numerically, one would expect the requisite step size to be relatively small in a region where the solution curve displays much variation and to be relatively large where the solution curve straightens out to approach a line with slope approaching to be zero. This is not always true in all the cases. In some cases in order for a numerical method to give a reliable solution to the differential system sometimes the step size is required to be at an very small level in a region where the solution curve is too smooth. The phenomenon is known as stiffness.

So, a stiff equation is a differential equation for which certain numerical methods for solving the equation are numerically unstable, unless the step size is taken to be extremely small.

Therefore, the given statement a stiff equation is a differential equation where some numerical solution approaches are numerically stable unless you use extremely small step sizes. is false.

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Answer: I don't know

Step-by-step explanation:

You got this pal!

The equation in slope-intercept form that represents the situation is y = 7x - 598

The slope of a line is the ratio of the amount that y increases as x increases some amount. Slope tells you how steep a line is, or how much y increases as x increases. The slope is constant (the same) anywhere on the line.

The ordered pair are ( 98, 88) and (107, 151)

Equation of line in slope-intercept form is y = mx + c

at x = 98, y =88

so that by substituting we have,

88 = 98m + c -------------------1

at x = 107, y = 151 and by substituting we have

151 = 107m + c -----------------2

subtract equation 1 from 2

63 = 9m

m = 63/9

m = 7

substitute m = 7 in equation 1

88 = 98(7) + c

c = 88 - 686c

c = -598

substitute m and c for their values equation becomes

y = 7x - 598

In conclusion, the equation in slope-intercept form is y = 7x - 598

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The equation of the line that passes through the points (0,-2) and (3,2) is  4x-3y-6 = 0.

A line's equation is an algebraic way of expressing the collection of points that make up a line in a coordinate system.

The many points that collectively make up a line on the coordinate axis are represented as a group of variables (x, y) to create an algebraic equation, also known as an equation of a line.

In the given graph,

The points are (0,-2) and (3,2)

To find the equation of the line,

Find slope by using formula  m = (y₂-y₁)/(x₂-x₁)

m = (2-(-2))/(3-0)

m = 4/3

The equation of line is,

y-y₁ = m (x-x₁)

y-(-2) = 4/3(x-0)

y+2 = 4/3x

3y+6 = 4x

4x-3y-6 = 0

The required equation of line is 4x-3y-6 = 0.

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Graphs having an equation in the form y = kx, is an example of direct variation.

The graph that represents a function with a direct variation is (b)

For a graph to represent a function with direct variation, the following must be true

The function must be a linear function

The slope of the function must not be 0 or undefined

The function must pass through the origin

The only graph that satisfies the three highlights above is graph (b)

Hence, the graph that represents a function with a direct variation is (b)

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Return values are type-specific in php functions The answer is False.

What is php function?

A PHP function is a piece of code that is very reusable. It can accept an argument list as input and return a value. Inbuilt functions in PHP number in the thousands.

You can develop your own functions in addition to the built-in PHP functions.

A function is a collection of statements that a programme can use repeatedly.

When a page loads, a function won't start running immediately.

A call to a function will cause the function to run.

In this a function only returns a value of a specified data type.

Hence, the given statement return values are type-specific in php functions is FALSE

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From the various probabilities, (a) the distribution is legitimate (b) the distribution is not legitimate (c) the distribution is legitimate.

We should know that Probability is  the chance of occurrence of an even (E) over a period of time.

A legitimate probability distribution must be that which adds up to 1 and cannot be negative.

Legitimate Distribution= P(a)+P(b)+P(c)+.....+P(n)

Where a,b,c and n are Probabilities of events.

From the given Parameters

(a) Rolling a die to record P(1) =0, P(2)=[tex]\frac{1}{6}[/tex], P(3)=[tex]\frac{1}{3}[/tex], P(4)=[tex]\frac{1}{3}[/tex], P(5)=[tex]\frac{1}{6}[/tex], P(6)=0

Add up the probabilities to get 1

⇒0+[tex]\frac{1}{6} +\frac{1}{3}+\frac{1}{3}+\frac{1}{6}+0[/tex]

⇒[tex]\frac{0+1+2+2+1+0}{6}[/tex]

P(E)=[tex]\frac{6}{6}=1[/tex]

This implies that the distribution is legitimate

(b) Choosing a college student at random,

Add up the probabilities to get 1

P(female full time)+P(male full time)+P(female part time)+P(male part time)

⇒0.56+0.44+0.24+0.17

=1.41

The probability of the distribution is not legitimate because it is greater than  one.

(c) Deal a card from a shuffled deck.

Add up the probabilities to get 1

P(club)+P(diamond)+P(hearts)+P(spades)

[tex]\frac{12}{52} +\frac{12}{52}+\frac{12}{52}+\frac{52}{16}[/tex]

[tex]\frac{12+12+12+16}{52}[/tex][tex]\frac{52}{52}=1[/tex]

The distribution is legitimate because the sum of the probabilities is

equal to 1

In conclusion, from the various probabilities, (a) the distribution is legitimate (b) the distribution is not legitimate (c) the distribution is legitimate.

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Answer:

r=4

Step-by-step explanation:

The radius is equal to half of the diameter. The diameter in this problem is 8 units; half of 8 is 4.

Answer:

The radius would be 4.

Step-by-step explanation:

The radius is always half of the diameter, which would be all the way around the circle. The radius would be halfway around the circle.

So looking at the graph, we can see that the circle surrounds the origin (0) 4 spots to the left and 4 spots to the right. This represents the diameter which is 8 and this can be found by adding the two directions (4 + 4) which gets you 8 as a sum. Now knowing this, we simply divide 8 by 2 and we get the radius which is 4.

Therefore, the answer is 4.

Answer:

2 km

Step-by-step explanation:

Functions of the form  f(x)=kx represents direct variation.

The table of values that appears a constant proportion between two variables speaks to a direct variation function.

A direct variation is an equation in the form y = kx, where k is the constant of variation.  Since it is in this form, the equation will pass through the origin (0, 0); this is because if we use 0 as x, y = k(0) = 0.

In the event that there's at slightest one pair of values that features a different proportion, at that point the function isn't a direct proportion.  the equation applies to each corresponding value between the two variables. Functions of form f(x)=kx, where k is the constant, are as they were functions that can speak to a direct variation. T

Therefore, A direct variation is an equation in the form y = kx, where k is the constant of variation.  Since it is in this form, the equation will pass through the origin (0, 0); this is because if we use 0 as x, y = k(0) = 0.

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If 1/2 gallon covers 1/12 of a wall, then there are 12 quarts of paint that are needed to cover the entire wall.

One gallon is equal to 4 quarts.

The amount of gallon that covers 1/12 of a wall = 1/2.

1/2 gallon = 2 quarts

This means that 2 quarts are needed to cover 1/12 of a wall.

Now, the number of quarts needed to cover the entire wall = 1/12 × 2= 1.

Therefore, if 1/2 gallon covers 1/12 of a wall, then there are 12 quarts of paint that are needed to cover the entire wall.

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The photographing of Jessica as depicted shows adjacent angles and the angle she tilt the camera from its first position to its second position is 29 degrees

When two angles have a similar vertex and side, they are referred to as adjacent angles.

The vertex of an angle is the point at which the rays that make up its sides come to an end. Adjacent angles have same vertex and side, they can be a complimentary angle or supplemental angle but in this case the sum is 63 degrees. This is to say that

? + 34 = 63

? = 63 - 34

? = 29

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The statement which describes the relationship between the graph of f (x) and the graph of g(x) = f (x) - 4 is the graph of​​ f(x)​ translated 4 units down.

The standard form of transformation can be described as,

g(x) = f(x + a) + b  .... (1)

If a > 0, then the graph of f(x) shifts left side by a unit and if If a < 0, then the graph of f(x) shifts right side by a units.

If b > 0, then the graph of f(x) shifts upward by b unit and if If a < 0, then the graph of f(x) shifts downward by b units.

Since the relationship between the graph of f(x) and g(x) exists,

g(x) = f(x − 4)

From (1), we get

The value of a exists -4, therefore the graph of f(x) translated 4 units down.

The value of a function exists defined on a graph by the vertical distance from the x-axis. When that vertical distance exists reduced by 4, the corresponding point exists shifted down 4 units.

Therefore, the correct answer is option A) The graph of g(x) is the graph of​​ ​f(x)​ translated 4 units down.

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Answer:

In 48 hours the ice cream factory can make 1,680 quarts.

Step-by-step explanation:

Multiply UNIT RATE 35 by 48 to answer your first question.

Answer:

6 : 7

Step-by-step explanation:

the ratio of

boys : girls

= 96 : 112 ( divide both parts by 16 )

= 6 : 7

In the exponential decrease function, the rate of decline is approximately 17.7%

An exponential function is a Mathematical function in the form f (x) = ax, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0. The most commonly used exponential function base is the transcendental number e, which is approximately equal to 2.71828. An exponential curve grows, or decay depends on the exponential function. Any quantity that grows or decays by a fixed per cent at regular intervals should possess either exponential growth or exponential decay.

In this problem, we can write an exponential function as

58000 = 1763000(1 + x)⁻²¹

Solving for x

x = 0.1765

Converting this into percentage;

x = 0.1765 * 100 = 17.7%

The rate is 17.7%

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The recursive formula for the given sequence is, [tex]a_n=a_n_-_1+1[/tex].

What is recursive formula?

Any term of a series can be defined by its preceding term in a recursive formula (s). For instance: An arithmetic series has the recursive formula

[tex]a_n=a_n_-_1+d[/tex]. [tex]a_n=a_n_-_1r[/tex] is the recursive formula for a geometric sequence.

Consider the given sequence,

8, 9, 10, 11, 12, ...

Here each next term is defined by it's preceding term by adding 1 in each preceding term.

That is,

9 = 8 +1

10 = 9 + 1

11 = 10 + 1

12 = 11 + 1

Hence, the recursive formula for the sequence is, [tex]a_n=a_n_-_1 + 1[/tex].

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Let S be and show is a sphere of radius R centered at the arigin. We will compare the flux that it does not depends on R. Parametic equation of sphare Y(4,0)= Rsind caso + Rsind sine j + R Cord F

and 014≤ 640 ≤ 2TT outward normal is

(r = 18) = √x² + y²+z2)

= F = ૪ 3

flux = [[Finds

. Rsing dodo = 83

(from put value of n

13 sind do do 23

2 TT, TT sing do do

R 11 R [["e. / sind dado (r= 171 = radius of ephare)

Π 2T ए [e" [" sind do do= ["- Casp" "do 0

[-(-1-1) do 2TT = 2x (2-0) 2 = do flux

flux = [[F·ñ-ds S = 4π

The flux is 411 and it depends on radius 'R'

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The classification of the equations as direct or indirect variations are;

1) Direct Variation

2) Direct Variation

3) Indirect Variation

4) Indirect Variation

Direct variation occurs when one quantity changes and the other quantity changes as well in direct proportion. Meanwhile, Inverse variation is exactly opposite of that.

Now, let us answer the questions;

1) y = 4x + 1

This shows that y is directly proportional to x because as x is increasing, y is increasing and vice versa. Thus, it is a direct variation.

2) y = 7.5x

This shows that y is directly proportional to x because as x is increasing, y is increasing and vice versa. Thus, it is a direct variation.

3) y = (1/15)x

This shows that y is inversely proportional to x because as x is increasing, y is decreasing and vice versa. Thus, it is an indirect variation.

4) y = 6/x

This shows that y is inversely proportional to x because as x is increasing, y is decreasing and vice versa. Thus, it is an indirect variation.

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The area of sector q is [tex]\frac{\pi n^{2} }{9}[/tex]

A sector is said to be a part of a circle made of the arc of the circle along with its two radii. It is a portion of the circle formed by a portion of the circumference (arc) and radii of the circle at both endpoints of the arc.

The circle is divided into 9 equal parts meaning that 1/9 the area of the circle is the area of circle q

Area of circle = [tex]\pi r^{2}[/tex]

Area of sector q = [tex]\frac{\pi r^{2} }{9}[/tex]

but r = n

Area of sector q = [tex]\frac{\pi n^{2} }{9}[/tex]

In conclusion, the area of sector q is [tex]\frac{\pi n^{2} }{9}[/tex]

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0.1587  is eprcentage of compact obtains 30 or more miles per gallon by standard deviation.

What is standard deviation?

Your dataset's average level of variability is represented by the standard deviation. It reveals the average deviation of each statistic from the mean.

                               A low standard deviation means that values are clustered close to the mean, whereas a high standard deviation means that values are typically far from the mean.

P(X> 30 )

Normal distribution

μ = 25.5

σ = 4.5

P(X > 30 ) = Area to the right of 30

we convert this to standard normal using z = x - μ/σ

 z = 30 - ( 25.5 )/45  = 1.00

P(Z > 1.00 ) = Area to the right of 1.00

P( X > 30) = P( Z > 100) = 1 - P( Z < 1.00 ) = 1 - 0.8413

                = 0.1587

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The number line which represents the solution set for the inequality is second one.

What is number line?

In elementary mathematics, a number line may be a image of a graduated line that is visual illustration of the important numbers. each purpose of variety|variety} line is assumed to correspond to a true number, and each real to a degree.

Main body:

Start by solving for x.

-1/2x ≥ 4

Multiply each side by 2

-1x ≥ 8

then divide by -1....

but remember to flip your sign its a negative number.

x ≤ -8

hence, the second one is correct.

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The Pythagorean Theorem of an equilateral triangle is a²+b²=c²

The height of an equilateral triangle is defined as a line drawn from any vertex on the opposite side of the triangle. This is the opposite side's perpendicular bisector. This means it cuts the opposite side in half and produces a 90° angle with it. The altitude that separates an equilateral triangle into two congruent right-angled triangles is also known as the triangle's height.

To calculate the missing side lengths of an equilateral triangle, use the Pythagorean theorem and the height of the right triangles within the equilateral.

The area of an equilateral triangle can therefore be determined using the formula A = 3/4 (a2).

The Pythagorean Theorem of an equilateral triangle is,

a(√3/2a)+b(√3/2b)=c(√3/2c)

√3/2a²+√3/2b²= √3/2c²

√3/2(a²-b²)= √3/2(c²)

a²+b²=c²

This is the Pythagorean Theorem of an equilateral triangle.

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