a bag that had the original sale price of $45.49 is now being sold for 30% less what is the current sales price?​

Answer:

I can't read that

Step-by-step explanation:

To reduce a fraction, you divide the numerator and denominator by the same number.

This number is the greatest common divisor (GCD) of the numerator and denominator. By dividing both the numerator and denominator by their GCD, you simplify the fraction to its simplest form. The GCD is the largest number that evenly divides both the numerator and denominator without leaving a remainder.

Dividing by the GCD ensures that the fraction is expressed in its lowest terms, where the numerator and denominator have no common factors other than 1. This process eliminates any common factors and reduces the fraction to its simplest representation.

Therefore, To reduce a fraction, you divide the numerator and denominator by the same number. Option c is correct.

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On the basis of given informations and values the angle of elevation of the ramp is calculated to be approximately 22 degrees.

We can use the tangent function to find the angle of elevation of the ramp. Let's call the height of the ramp "h" and the horizontal distance from the bottom of the ramp to the building "d". Then the tangent of the angle of elevation θ is given by:

tan θ = h/d

Substituting the given values, we get:

tan θ = 6/15

Simplifying this expression, we get:

tan θ = 0.4

To find the angle θ, we can take the inverse tangent (or arctan) of both sides of the equation:

θ = tan⁻¹ (0.4)

Using a calculator, we get:

θ ≈ 21.8 degrees

Therefore, the angle of elevation of the ramp to the nearest degree is 22 degrees.

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Answer: answer D

Step-by-step explanation:

i am pretty sure it is D. not 100%, but like 90%. they are both on the outside of the lines, so that is why i know they are exterior. and, they are on opposite sides, so that makes them alternate.

Answer:

38.06 but if rounded up 38

Step-by-step explanation:

34,254 divided by 900 equals 38.06

when sample size increases, everything else remaining the same, the width of a confidence interval decreases.

The sample size is defined as the the number of observations or participants included in a study.

The confidence interval is defined as the mean of the estimate plus and minus the variation in that estimate. That means when you do the test multiple times, then the value may be vary from the estimated value. The confidence interval is the range of those values.

So when the sample size increases the width of the confidence interval decreases

Hence, when sample size increases, everything else remaining the same, the width of a confidence interval decreases.

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Miss Austin is covering the topic of central tendency in statistics, specifically the mean. By giving her class 6 sets of data and asking them to identify which one can be most accurately summarized by the mean, she is testing their understanding of how the mean represents the average value of a set of data.

This also involves understanding how to calculate the mean and interpret its value in relation to the other values in the dataset. Therefore, Miss Austin is helping her class develop skills in data analysis and statistical reasoning. The use of the term "set" is not clear, but assuming it means "sets of data," it is relevant to the topic being covered.

Miss Austin is covering the topic of "Descriptive Statistics" in her class. Specifically, she is focusing on the concept of "mean" as a measure of central tendency to summarize data sets. By asking her students to identify which data set can most accurately be summarized by the mean, she is teaching them how to understand the appropriateness of using the mean for different sets of data.

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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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Y•55=x

Step-by-step explanation:

Answer:

To find the volume of a cone you must first find the radius of the circle. When you write the radius of the circle in the formula for the volume of a cone it is always the top part of the fraction.  Hope This Helps Mate!! Have A Wonderful Day!!

Answer:

\(c = {g}^{2} + {f}^{2} + {r}^{2} \\ c = {2}^{2} + {( - 9)}^{2} + {3}^{2} \\ c = 94 \\ = > \: {x}^{2} + {y}^{2} - 4x + 18y + 94 = 0\)

Answer:

15.85

Step-by-step explanation:

if you take and divide 634 by the 40 hours she works you get 15.85 also doing 550/40 gives you 13.75 to find the difference if you need it subtract 15.85-13.75= 2.1

The equation most closely models the line of best fit for the scatter plot is y = 2.5x

A line is the distance between two points. The equation of a line in point-slope form is given as y =mx + b

Using the coordinate points on the line (3, 5000) and (9, 20000)

Get the slope

Slope = 20000-5000/9-3
Slope = 15000/6 = 2500

Determine the y-intercept

5000 = 2500(3) + b

b = 5000 - 7500
b = -2500

Determine the equation

y = 2.5x - 2.5

Hence the equation most closely models the line of best fit for the scatter plot is y = 2.5x

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The maximum possible cost in dollars is $226.76 (approx).

Standard deviation = $88

Let X be the cost of the automobile repair, then X ~ N(367, 88^2) (normal distribution)

Now, we need to find the following probabilities:

(a) P(X > 480)(b) P(X < 240)(c) P(240 < X < 480)(d)

Find X such that P(X < X1) = 0.05, where X1 is the lower 5% point of X(a) P(X > 480)

We need to find P(X > 480)P(X > 480) = P(Z > (480 - 367)/88) [Standardizing the random variable X]P(X > 480) = P(Z > 1.2955)

Using the standard normal table, the value of P(Z > 1.2955) = 0.0983 (approx)

Hence, the required probability is 0.0983 (approx)(b) P(X < 240)

We need to find P(X < 240)P(X < 240) = P(Z < (240 - 367)/88) [Standardizing the random variable X]P(X < 240) = P(Z < -1.4432)

Using the standard normal table, the value of P(Z < -1.4432) = 0.0749 (approx)

Hence, the required probability is 0.0749 (approx)(c) P(240 < X < 480)

We need to find P(240 < X < 480)P(240 < X < 480) = P(Z < (480 - 367)/88) - P(Z < (240 - 367)/88) [Standardizing the random variable X]P(240 < X < 480) = P(Z < 1.2955) - P(Z < -1.4432)

Using the standard normal table, the value of P(Z < 1.2955) = 0.9017 (approx)and the value of P(Z < -1.4432) = 0.0749 (approx)

Hence, the required probability is 0.9017 - 0.0749 = 0.8268 (approx)(d)

Find the maximum possible cost in dollars, if the cost for your car repair is in the lower 5% of automobile repair charges.

This is nothing but finding the lower 5% point of X.We need to find X1 such that P(X < X1) = 0.05.P(X < X1) = P(Z < (X1 - 367)/88) [Standardizing the random variable X]0.05 = P(Z < (X1 - 367)/88)

Using the standard normal table, the value of Z such that P(Z < Z0) = 0.05 is -1.645 (approx)

Hence, we get,-1.645 = (X1 - 367)/88

Solving for X1, we get: X1 = 88*(-1.645) + 367 = $226.76 (approx)

Therefore, the maximum possible cost in dollars is $226.76 (approx).

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In a particular region, the electric potential is given by v = −xy9z 8xy, where and are constants. The electric field in the region is E = (y9z - 8y) i + (x9z - 8x) j + 8xy k.

Given: The electric potential is given by v = −xy9z 8xy, where x and y are constants.

We know that the relation between electric field and electric potential is given as, $\ vec E = -\frac{d\vec V}{dr}$.Where, E = electric field V = electric potential = distance.

The electric field can be determined by taking the gradient of the potential, and we will apply it step by step below,

∇V = (∂V/∂x) i + (∂V/∂y) j + (∂V/∂z) k.

Let's calculate these three derivatives separately, ∂V/∂x = -y9z + 8y∂V/∂y = -x9z + 8x∂V/∂z = -8xy

Substitute the values of all three derivatives in the equation of electric field given below,  E = -∇V.

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The electric field in the given region is E = (9yz/8x²) i - (0) j - (9y/8x) k.Given that the electric potential is given by the function,v = −xy9z/8xyIn electrostatics, the electric field (E) is defined as the negative gradient of electric potential (V).

In scalar form, the relation between electric field and potential is given as;

E = -∇VEquation of the electric potential is given by;

V = −xy9z/8xy

Differentiating the potential with respect to x, y and z to obtain the corresponding components of electric field.

Expressing the potential as a sum of functions of x, y and z we have;

V = -y(9z/8x)

Also, note that in the given potential function, there is no term with respect to the y direction. Hence, the partial derivative with respect to y is zero.∴

Ex = - ∂V/∂x

= -(-9yz/8x²)

= 9yz/8x²As ∂V/∂y

= 0,

so Ey = 0

∴ Ez = - ∂V/∂z

= - (9y/8x)

Putting the values of Ex, Ey and Ez in

E = (Exi + Eyj + Ezk),

we have;E = (9yz/8x²) i - (0) j - (9y/8x) k

Hence, the electric field in the given region is E = (9yz/8x²) i - (0) j - (9y/8x) k.

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Answer:

x+y=6

Step-by-step explanation:

is it multiple choice?

The system of inequalities models this situation would be;

x + y ≤ 9

x ≥ 4

y ≥ 2

Given that;

Jenifer is buying popcorn and sodas with her friends at the movies.

They can carry at most 9 items.

They want at least 4 sodas and at least 2 bags of popcorn.

Let us assume that;

x represent the number of sodas.

And y represents the bags of popcorn.

Hence for the statements,

They can carry at most 9 items.

x + y ≤ 9

They want at least 4 sodas and at least 2 bags of popcorn.

x ≥ 4

y ≥ 2

Therefore, The system of inequalities would be;

x + y ≤ 9

x ≥ 4

y ≥ 2

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Answer:

3 equal side 3 congruent angles of 60°

Step-by-step explanation:

what are some properties of an isosceles triangle

3 equal side 3 congruent angles

The following is an example of a quadratic inequality: x^2 + 2x - 8 > 0.

This is an example of a quadratic inequality because it is an inequality involving a quadratic function (x^2 + 2x - 8) which is of the form ax^2 + bx + c where a, b, and c are constants.

Quadratic inequalities can be solved by factoring the quadratic expression, using the Quadratic Formula, or graphing the inequality. In order to solve a quadratic inequality, it is important to understand the types of solutions that can be expected.

Solutions may include one solution, two solutions, or no solutions. Additionally, when graphing a quadratic inequality, the graph may be a line or a region. To determine which type of graph to use, the type of inequality must be identified (greater than or less than). If the inequality is a greater than or less than inequality, then the graph will be a region. If the inequality is an equal to inequality, then the graph will be a line.

Solving and graphing quadratic inequalities is an important skill in algebra as it allows us to visualize and solve complex problems.

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Answer:

  (b)  4a³

Step-by-step explanation:

The value of B is the sum of the a-cubed terms:

  12a³ -6a³ -2a³ = (12 -6 -2)a³ = 4a³ . . . . . matches the 2nd choice

__

Additional comment

A = (-2a)(-2a) = 4a²

Answer:

the missing side value is 6.7.

Step-by-step explanation:

so the Pythagorean theorem is a^2+b^2=c^2, but since we are missing the b slide the equation now is 7^2-2^2=b^2. now you may not understand why we are missing the b side. so in the Pythagorean theorem, the a and b slides dont really matter, as long as the c side is the hypotenuse, or the longest slide in a triangle. so 7squared is 49, 2 squared is 4, so 49-4= 45, but its 45squared because the equation is c^2-a^2=b^2 so now we know that 45 is b squared, we just have to square root 45, to get about 6.7.

Answer:

enough to paint an area = 80 m²

Step-by-step explanation:

area = 8 x 10 = 80 m²

Here, we are supposed to find the value of the stock. Let's begin by determining the expected dividends: Expected dividends1st year dividend (D1)

= $1.55(1 + 26.56%)

= $1.96Second-year dividend (D2) = $1.96(1 + 26.56%) = $2.48Third-year dividend (D3)

= $2.48(1 + 26.56%)

= $3.

= D1/(1+r)^1 + D2/(1+r)^2 + D3/(1+r)^3 + D4/(1+r)^4...∞Where r

= required rate of return Let us substitute the values now PV of the future dividends

= $1.96/(1 + 14.40%)^1 + $2.48/(1 + 14.40%)^2 + $3.14/(1 + 14.40%)^3 + $3.25/(1 + 14.40%)^4...∞PV of the future dividends = $1.96/1.1440^1 + $2.48/1.1440^2 + $3.14/1.1440^3 + $3.25/1.1440^4...∞PV of the future dividends

= $1.72 + $1.92 + $2.04 + $1.86...∞PV of the future dividends

= $7.54We know that the value of the stock is the present value of the expected dividends, so we can calculate it as follows: Value of the stock

= PV of the future dividends Value of the stock

= $7.54

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be more specificlike what are the options

The provided options (x = -2, x = -1, x = 3, x = 2) are not asymptotes for the given function.

An asymptote of a function is a line that the graph of the function approaches but never touches. In the given function Y = (4x - 2)/(x^2 - 3x). The vertical asymptotes occur when the denominator of the fraction equals zero, so we set x^2 - 3x = 0 and solve for x:
x(x - 3) = 0
x = 0 or x = 3
The vertical asymptotes occur at x = 0 and x = 3.
The horizontal asymptote occurs when the degree of the numerator is less than or equal to the degree of the denominator. In this case, the degree of the numerator is 1 and the degree of the denominator is 2, so the horizontal asymptote occurs at y = 0.
   4x - 2
x^2 - 3x | 4x - 2

- 4x + 12
-14x - 2
To determine the asymptote of the given function Y = (2/cos(y-20)), we need to identify the values of y for which the denominator (cos(y-20)) becomes zero. For cosine, this occurs when its argument is an odd multiple of π/2.

The equation y - 20 = (2n+1)π/2, where n is an integer. Adding 20 to both sides gives y = (2n+1)π/2 + 20. Since there is no specific value of x involved in this function, we can conclude that there are no vertical asymptotes in the form x = some constant value.

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The value of "m' that makes the expression equivalent is 0.2584

Given the expression 12 (–1.4m + 0.4) = m + 0.2

We need to solve for the value of m from the expression.

Expand using the distributive law:

12(-1.4m) + 12(0.4) = m +  0.2

16.8m + 4.8 = m + 0.2

Collect the like terms:

-16.8m - m = 0.2 - 4.8

-17.8m = -4.6

m = 4.6/17.8

m = 0.2584

Hence the value of "m' that makes the expression equivalent is 0.2584

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To solve the differential equation xy' = yxe^(6y/x) by making the change of variable v = y/x, we can rewrite the equation in terms of v and x. Then, we differentiate the equation and substitute the expressions for v and v' back into the original equation.

Let's begin by making the change of variable v = y/x. Taking the derivative of v with respect to x using the quotient rule, we have:

v' = (y'x - y)/x^2

We can rewrite the original differential equation xy' = yxe^(6y/x) in terms of v and x:

x((v'x + v) / x^2) = (vx)e^(6(vx)/x)

Simplifying the equation, we get:

v' + v/x = ve^(6v)

Multiplying both sides of the equation by x, we have:

xv' + v = xve^(6v)

Now, we differentiate both sides of the equation with respect to x:

v' + xv" + v' = ve^(6v) + 6vve^(6v)

Substituting the expression for v' from the previous step, we get:

v' + xv" + v' = ve^(6v) + 6v^2e^(6v)

Simplifying the equation further, we have:

xv" = ve^(6v) + 6v^2e^(6v)

Now, we have a first-order linear differential equation in terms of v and x. We can solve this equation for v by integrating both sides with respect to x.

Once we have the solution v(x), we can substitute it back into the equation v = y/x to obtain the solution y(x) in terms of x.

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T is the linear transformation described by T(w,z) in L(C2). This indicates that the linear transformation T changes two-dimensional vectors of the type (w,z) to (-z,w).

To get T's eigenvalues, solve the equation T(v) = v, where is the eigenvalue and v is the eigenvector. By solving this equation, we discover that T's eigenvalues are λ1 = -1 and λ2 = 1.

For each eigenvalue, the associated eigenspaces are the subspaces of C2 that are spanned by the eigenvectors of T. The eigenspace is the subspace covered by the eigenvector λ1= -1 is (1,0). The eigenspace is the subspace spanned by the eigenvector λ2= 1 is (0,1).

As a result, the subspaces covered by (1,0) and (1,1) are the generalized eigenspaces corresponding to the different eigenvalues of T. (0,1).

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Answer:

500 grams

Step-by-step explanation:

3,200-2,700=500

Answer:

x= 8

y= -5

z= 0

Step-by-step explanation:

this is the correct answer to this system of equations.