Can someone help me Please

We determine that the correct choice is: B. The length of \(A'B'\) must be equal to the length of \(AB\).

Vectorially speaking, any point is translated by means of the following formula:

\(P'(x,y) = P(x,y) + T(x,y)\) (1)

Where:

Since the entire quadrilateral is translated the same distance, then the length of \(A'B'\) is equal to the length of \(AB\). Hence, the correct choice is B.

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Answer:

I think the answer would be −329/8 or −41.125 .

Step-by-step explanation:

Hope this helped .

a. The truck rental cost when you drive 85 miles is  $85.7.

b. The number of miles driven when the cost is $65.96 is 0.42x.

a. To find the truck rental cost when driving 85 miles, we can substitute the value of x into the given function.

f(x) = 0.42x + 50

Substituting x = 85:

f(85) = 0.42(85) + 50

= 35.7 + 50

= 85.7

Therefore, the truck rental cost when driving 85 miles is $85.70.

b. To determine the number of miles driven when the cost is $65.96, we can set up an equation using the given function.

f(x) = 0.42x + 50

Substituting f(x) = 65.96:

65.96 = 0.42x + 50

Subtracting 50 from both sides:

65.96 - 50 = 0.42x

15.96 = 0.42x

To isolate x, we divide both sides by 0.42:

15.96 / 0.42 = x

38 = x

Therefore, the number of miles driven when the cost is $65.96 is 38 miles.

In summary, when driving 85 miles, the truck rental cost is $85.70, and when the cost is $65.96, the number of miles driven is 38 miles.

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Answer: is not / is one x-value

Step-by-step explanation:

The relation is not a function because there is one x-value corresponding to multiple y-values.

For a function, each point on the domain is mapped into only one point on the range.

In this relation we can see the points:

(1, 4), (3, -1), (-1, -2), and (1, -3).

Then we can see that the element of the domain "1" is being mapped into two different elements of the range (4, and -3).

Then the relation is not a function because there is one x-value corresponding to multiple y-values.

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By applying the law of sines, the height of this momentum is equal to 102 feet.

In Trigonometry, the law of sines is also referred to as sine law or sine rule and it can be defined as an equation that relates the side lengths of a triangle to the sines of its angles.

Mathematically, the law of sines is given by this equation:

\(\frac{sinA}{a} =\frac{sinB}{b} =\frac{sinC}{c}\)

In order to solve this word problem, we would assign variables to the right-angled triangle modeled by the given description:

Note: Angle of depression, θ = 20° - 15° = 5°

Substituting the parameters into the formula, we have;

sin5/100 = sin15/y

Cross-multiplying, we have:

y = 100sin15/sin5

Hypotenuse, y = 296.9615 feet.

Now, we can determine the height (opposite side) of the momentum:

sin20/x = sin90/296.9615

Cross-multiplying, we have:

x = 296.9615sin20/sin90

Height (opposite side) of the momentum, x = 101.5668 ≈ 102 feet.

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Answer:

  a.  0

Step-by-step explanation:

You want the limit of (k(x) -h(x))/k(x) as x approaches 0 when k(x) = sin(x)/x {x≠0} and h(x)=x+1 {x<1}.

Since we're concerned about the limit as x → 0, we don't have to be concerned with the fact that the expression is undefined at x = 0.

The function h(x) is defined as h(0) = 1, so we can just be concerned with the value of ...

  lim[x→0] (k(x) -1)/k(x)

The limit of k(x) as x → 0 is 1, so this becomes ...

  lim[x→0] (k(x) -1)/k(x) = (1 -1)/1 = 0

At x=0, sin(x)/x is the indeterminate form 0/0, so its limit there can be found using L'Hôpital's rule. Differentiating numerator and denominator, we have ...

  lim[x→0] sin(x)/x = lim[x→0] cos(x)/1 = cos(0) = 1

The fact that k(0) = 0 is irrelevant with respect to this limit.

__

Additional comment

We like to use a graphing calculator to validate limit values. The attachment shows the various functions involved. It also shows that as x gets arbitrarily close to 0 from either direction, the value of g(x) does likewise. This is all that is required for (0, 0) to be declared the limit. The lack of definition of g(x) at x=0 simply means the relation has a (removable) discontinuity there.

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Answer:

(2,-1.5)

Step-by-step explanation:

6x-4y=18

-x-6y=7

Switch the second equation from standard form to y=mx+b form

-x-6y=7→  -x=7+6y → multiply both sides by -1→ x=-7-6y

Substitute all of the things that equal x into the other equation into x

6x-4y=18→ 6(-7-6y)-4y=18

Simplify

-42-36y-4y=18

Bring - 42 to the other side and add like terms

-42-36y-4y=18→ -40y= 60

Solve for y

y=-1.5

Choose an equation and plug y in it.

-x-6(-1.5)=7

-x+9=7

-x=-2

Multiply both sides by -1

x=2

The radius of the pool is 9.01 m.

Given,

In the question:

A circular pool is surrounded by a brick walkway 3 m wide.

The area of the walk- way is 198 m^2.

To find the Radius of the pool.

Now, According to the question:

"Area of the circle bounded by the outside edge of the walkway" minus "area of the pool" = "area of the walkway".

Let R = Radius of the pool

Area of the circle bounded by the outside edge of the walkway is:

\(\pi\)(R +3)^2

Area of the pool is:

\(\pi R^2\)

Now, Our equation is:;

\(\pi\)(R +3)^2 - \(\pi R^2\) = 198

\(\pi\)((R+3)^2 - \(R^2\)) = 198

Open the inner bracket :

\(\pi\)(\(R^2+6R+9-R^2\)) = 198

\(\pi\)(6R +9) = 198

6R+9 = 198/\(\pi\)

6R = 198/\(\pi\) - 9

R = (198/\(\pi\) - 9)/6

R = (198/(3.14) - 9)/6

R = (63.057 - 9)/6

R = 54.057/6

R = 9.01 meters

Hence, The radius of the pool is 9.01 m.

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The required ratio of x to y is 5:8 for the given equations.

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

The equations are given in the question, as follows:

4/y + 3/x = 44   ...(i)

12/y - 2/x = 44  ...(ii)

From equation (i), and isolate y,

4/y + 3/x = 44

y = - 4x/(3 - 44x)

Substitute the above value in equation (ii), and we get

12/{- 4x/(3 - 44x)} - 2/x = 44

Simplify the above equation, and we get

x = 1/8

Now, substitute the value x = 1/8 in equation (i),

4/y + 3/{1/5} = 44

Simplify the above equation, and we get

y = 1/5

So, the ratio of x to y as:

x:y = (1/8)/(1/5)

x:y = 5/8

Thus, the required ratio of x to y is 5:8

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a. The limit of the given function, as x approaches 0 from the positive side, is 1.  b. Yes, The function is continuous at the point x = 0.

a. To find the limit of the given function, we substitute 0 into the expression and evaluate:

lim(x→0+) sin((3π/2)\(e^sqrt\)(x))

As x approaches 0 from the positive side, the term sqrt(x) approaches 0, and \(e^sqrt(x)\) approaches 1. Therefore, we can rewrite the expression as:

lim(x→0+) sin((3π/2)\(e^0\))

b. Since \(e^0\) is equal to 1, the expression simplifies to:

lim(x→0+) sin(3π/2)

The value of sin(3π/2) is equal to 1, so the limit of the function is 1.

Furthermore, since the limit exists and is equal to the value of the function at the point being approached, the function is continuous at x = 0.

Therefore, the answer is:

a. The limit is 1.

b. Yes, the function is continuous at x = 0.

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The solution of the inequality 4x < x+6 is x < 2.

To solve the inequality 4x < x+6, we need to isolate the variable on one side of the inequality. Here are the steps:

1. Subtract x from both sides of the inequality: 4x - x < 6

2. Simplify: 3x < 6

3. Divide both sides by 3: x < 2

So the solution to the inequality is x < 2.

To show this on the number line, we need to draw a line and mark the number 2 on it. Then we need to shade the region to the left of 2 to indicate that all values less than 2 are solutions to the inequality.

Here is the number line representation of the solution:

The "o" represents an open circle, which indicates that the number 2 is not included in the solution. The shaded region to the left of 2 represents all values less than 2, which are the solutions to the inequality.

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Answer:

Start with equation,

         y''(x) = f(x) = 6y/(10x-x²)               about point x₀ = 5

Then,

       y(x) = a₀ + a₁(x-5) + a₂(x-5)²+ a₃(x-5)³ + a₄(x-5)⁴...….

by inspection,

           y(5) = a₀      and       y'(5) = a₁

then,

y''(5) = 6a₀/(50-25) = 6a₀/25              

y'''(x) = 6y'/(10x-x2) - 6y(10-2x)/(10x-x2)2

then,                      

                              y'''(5) = 6a₁/25 - 0 = 6a₁/25                

y''''(x) = 6y''/(10x-x2) -12y'(10-2x)/(10x-x2)² + 12y/(10x-x2)² + 12y(10-2x)2/(10x-x2)³

then,

    y''''(5) = (6/25)(6a₀/25) + 0 + 12a₀/625 + 0

              = 48a₀/625

So,

y(x) = f(x) = f(5) + f'(5)(x-5) + f''(5)(x-5)2/2! + f'''(5)(x-5)3/3! + f''''(5)(x-5)4/4! …

                                                       or

y(x) = f(x) = a₀ + a₁(x-5) + (6ao/25)(x-5)2/2! + (6a1/25)(x-5)3/3! + (48a₀/625)(x-5)4/4!...

                                                         or

y(x) = f(x) = a₀ + a₁(x-5) + (3a₀/25)(x-5)²+ (a₁/25)(x-5)³+ (2a₀/625)(x-5)⁴.....

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The probability that both marbles are blue is 1/4.

Since the marble is put back into the bag before the second draw, the probability of drawing a blue marble on the first draw is 3/6 or 1/2, and the probability of drawing a blue marble on the second draw is also 3/6 or 1/2.

The probability of both events happening together (drawing a blue marble on the first and second draws) is equal to the product of the probabilities of each event occurring separately, since the two events are independent of each other:

P(Blue on first draw AND Blue on second draw) = P(Blue on first draw) x P(Blue on second draw)

= 1/2 x 1/2

= 1/4

Therefore, the probability of drawing two blue marbles in a row with replacement is 1/4 or 25%.

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Answer:

Solve.

Step-by-step explanation:

make the 2 3 and 1 then turn them into 20 30 and 10 then you need to add them together to get the answer divide that by thirty and if its more than half yes, less than half no.

Answer:

\( \frac{66}{125} \)

hours

Hope it helped

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Answer:

y = 1/4x - 2

Step-by-step explanation:

I hope this helps :)

Answer:

y = 1/4x - 2

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

Slope m = 1/4

y-intercept b = -2

Step 2: Plug into formula

y = 1/4x - 2

Answer:

Answer are at the bottom!

Step-by-step explanation:

First equation: y=5x

Second equation: y=5.5x

Unit rate:

x/5.5

5.5/5.5

x/1

Hope this helps!

At the end of the code, max contains the value of the larger of x and y.

The correct fragment of code that assigns the larger of x and y to another integer variable max is:int max;

if (x > y) {

   max = x;

} else {

   max = y;

}

In this code fragment, we first declare the integer variable max without assigning it a value. We then use an if statement to compare x and y. If x is greater than y, we assign x to max, otherwise, we assign y to max. At the end of the code, max contains the value of the larger of x and y.

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There are a total of 8 distinct congruence classes modulo x^3 - x + 1 in Z2[x].

To determine the number of distinct congruence classes modulo x^3 - x + 1 in Z2[x], we will first understand the terms and then find the classes.

In Z2[x], the coefficients of the polynomial are in Z2, meaning they are either 0 or 1.

The modulo is x^3 - x + 1, which implies that we are considering polynomials whose degree is less than 3.

Now, let's list all distinct congruence classes modulo x^3 - x + 1 in Z2[x]:

1. Constant Polynomials:
  - 0 (degree 0)
  - 1 (degree 0)

2. Linear Polynomials:
  - x (degree 1)
  - x + 1 (degree 1)

3. Quadratic Polynomials:
  - x^2 (degree 2)
  - x^2 + 1 (degree 2)
  - x^2 + x (degree 2)
  - x^2 + x + 1 (degree 2)

There are a total of 8 distinct congruence classes modulo x^3 - x + 1 in Z2[x].

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The dependent variable is Muscle mass.

An analyst believes that protein powder builds muscle mass while long-distance running reduces muscle mass.

She collects data on subjects (pounds of muscle mass, ounces of protein powder, and hours of running) and runs a regression.

Given information,

We get that muscle mass depends positively on protein powder and muscle mass depends negatively on long-distance running.

This implies that Muscle mass is a dependent variable.

Therefore, The correct option is option B.

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Incomplete Question:

an analyst believes that protein powder builds muscle mass while long-distance running reduces muscle mass. she collects data on subjects (pounds of muscle mass, ounces of protein powder, and hours of running) and runs a regression. what is the dependent variable?

The sampling distribution of sample means is a mean of 79 and a standard deviation of 3.

The standard deviation mathematical and statistical analysis tool used to explain the diversity of treatments or values around the Mean is the standard deviation, which is also known as the square root of variance.

Given that,

Population mean,  \(\bar{x}\) = 79

Population standard deviation, σ = 18

Sample size, n = 36

We have to determine the mean and standard deviation of a sampling distribution of sample means.

Let X denotes a random variable distributed with a mean and standard deviation of 85 and 28 respectively.

Also, if a random sample of size n is drawn from the population, then the sample mean is denoted by \(\bar{x}\).

The sampling distribution of sample means \(\bar{x}\) is given by:

ц \(\bar{x}\) = ц

σ \(\bar{x}\)  = σ/√n

Therefore, for the sample size n = 36, the sampling distribution of sample means \(\bar{x}\) is obtained as:

ц \(\bar{x}\) = 79

σ \(\bar{x}\)  = 18/√36 = 3

Hence, the required sampling distribution of sample means is mean of 79 and a standard deviation of 3.

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Answer:

los angeles i think

Step-by-step explanation:

On solving the provided question, we cans ay that sum of co-exterior angles are 180 so, 180-73 = x => x = 7

An angle is a form in Euclidean geometry made composed of two rays, called the angle's sides, that meet at a point in the middle known as the angle's vertex. In the plane where the rays are placed, two rays can produce an angle. An angle is also produced when two planes intersect. They're known as dihedral angles. In plane geometry, an angle is the form that two rays or lines with a common termination might take. The Latin word "angulus," which means "horn," is where the English word "angle" comes from. The two rays, also known as the sides of the angle, have a common termination known as the vertex.

here,

angle x and 73 are co-exterior angles

so, sum of co-exterior angles are 180.

so, 180-73 = x => x = 7

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Answer:

18 miles

Step-by-step explanation:

the ratio is miles/minute

10/50=0.2

so no just multiply the amount of minute you want 0.2*90= 18 miles

Answer and Step-by-step explanation:

In an hour and a half, Dana would go 18 miles since she's going a mile at regular intervals, so if she's trekking for an additional forty minutes, she will bicycle 8 miles. This implies that you'd increase five minutes by 8 miles (recall it's a mile for every 5 minutes) and that would give you forty. At that point simply add that to the 50 minutes she's been cycling as of now.

To make a 54L antifreeze solution that is 31% alcohol, you need 36L of the 35% alcohol solution and 18L of the 23% alcohol solution.

To solve this problem, we can use the method of mixture problems.

Let x be the amount of the 35% alcohol solution needed, and y be the amount of the 23% alcohol solution needed to make 54L of a 31% alcohol solution.

We can set up two equations based on the amount of alcohol in each solution:

0.35x + 0.23y = 0.31(54)  (equation 1: amount of alcohol)
x + y = 54  (equation 2: amount of solution)

Simplifying equation 2 to y = 54 - x, we can substitute into equation 1:

0.35x + 0.23(54 - x) = 16.74

Simplifying and solving for x, we get:

0.12x + 12.42 = 16.74
0.12x = 4.32
x = 36

So we need 36L of the 35% alcohol solution, and 18L (54-36) of the 23% alcohol solution to make 54L of a 31% alcohol solution.

To solve this problem, we will set up two equations using the information given.

Let x represent the volume of the 35% alcohol solution and y represent the volume of the 23% alcohol solution.

1. The sum of the two volumes should equal 54L:

x + y = 54

2. The total alcohol in the final solution (54L) should be 31% alcohol:

0.35x + 0.23y = 0.31 * 54

Now we will solve the system of equations:

From equation 1:

y = 54 - x

Substitute this into equation 2:

0.35x + 0.23(54 - x) = 0.31 * 54

Expand and simplify the equation:

0.35x + 12.42 - 0.23x = 16.74

Combine the x terms:

0.12x = 4.32

Now, divide by 0.12 to find x:

x = 36

Now substitute x back into y = 54 - x:

y = 54 - 36

y = 18

So, to make a 54L antifreeze solution that is 31% alcohol, you need 36L of the 35% alcohol solution and 18L of the 23% alcohol solution.

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Step-by-step explanation:

First we have to turn this from standard form to slope-intercept form.

We'll subtract 3x on both sides to get:

\(y > - 3x + 9\)

Now in order to graph this inequality, you must know that:

(The line will be graphed above for your convenience⤴⤴⤴)

Hope this helps :)

Yes, if x and y are rational numbers, then 3x + 2y is also a rational number. This can be proven using the definition of rational numbers and the closure properties of addition and multiplication.

A rational number is defined as any number that can be expressed as the ratio of two integers, where the denominator is not zero. For example, 3/4, 7/2, and -5/6 are all rational numbers.

Now, let's assume that x and y are rational numbers. Then, by definition, we can write x = p/q and y = r/s, where p, q, r, and s are integers and q and s are not zero.

Using this notation, we can write:

3x + 2y = 3(p/q) + 2(r/s)
= (3p/q) + (2r/s)
= (3ps + 2rq) / qs

Since p, q, r, and s are all integers and qs is not zero, (3ps + 2rq) / qs is also a ratio of two integers where the denominator is not zero. Therefore, 3x + 2y is a rational number.

In conclusion, we can say that if x and y are rational numbers, then 3x + 2y is also a rational number. This result follows directly from the definition of rational numbers and the closure properties of addition and multiplication.

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Answer:

x = 92 degrees

Step-by-step explanation:

Trapezoids have 360 degrees

53 + 126 + 89 + x = 360

x = 92

The area bounded by y=√x and y=1/2x, when rotated about x-axis, produces a solid of revolution. Therefore, the volume can be found using integration. Let's first sketch the area to get a sense of what is going on in the given problem.

The area we are looking at is shaded in pink. It is bounded by the two curves y = √x and y = (1/2)x. The intersection points are (0,0) and (4,2)Now that we have the sketch, we can proceed to find the volume generated using integration. Firstly, let's take a look at the method we will use to find the volume for the area bounded by y=√x and y=1/2x. This method is called the Disk/Washer Method.The Disk Method is a slicing technique that makes use of the perpendicular distance between the curve and the axis of rotation to determine the radius of the circular disk.In this case, the axis of rotation is the x-axis. Thus, the radius of the disk is y, the perpendicular distance between the curve and the x-axis. The area of the disk can be calculated using the formula for the area of a circle.The volume of the disk can then be found by multiplying the area of the disk with the thickness of the disk (dx).The integral that represents the volume of the solid of revolution is: V=∫[pi*r^2]dxWhere, r = y and y is a function of x.We need to take limits from 0 to 4. Therefore, the integral becomes:V=∫[0,4] [pi* y^2] dxNow, we need to express y in terms of x.

Therefore, let's solve the two curves for x.y=√x and y=(1/2)xLet's equate these to find the intersection points:√x=(1/2)x2√x=xSquare both sides of the equation:x = 4Therefore, the limits of the integral will be from 0 to 4. To get y in terms of x, we need to solve for y in the equation y=√x.y=√xNow that we have y in terms of x, we can substitute it in the integral we derived above.V=∫[0,4] [pi* y^2] dxV=∫[0,4] [pi*(√x)^2] dxV=∫[0,4] [pi*x] dxV= [pi/2*x^2] |[0,4] = [8pi]/2 = 4πTherefore, the is (B) None of these. The correct answer is 4π.Explanation:Area bounded by y=√x and y=1/2x is rotated around the x-axis and we need to find the volume generated. The method we will use to find the volume for the area bounded by y=√x and y=1/2x is the Disk/Washer Method.

The Disk Method is a slicing technique that makes use of the perpendicular distance between the curve and the axis of rotation to determine the radius of the circular disk. The integral that represents the volume of the solid of revolution is V=∫[pi*r^2]dx where r = y and y is a function of x.

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