A department store buys 400 shirts at a cost of $7,200 and sells them at a selling price of $20
each. Find the percent

Answer:

3x+2

Step-by-step explanation:

2(3x-1)-3x+4

6x-2-3x+4

3x+2

The Quadratic Formula: Given a quadratic equation in the following form:

ax² + bx² + c = 0

where a, b, and c are the numerical coefficients of the terms of the quadratic.

The nice thing about the Quadratic Formula is that the Quadratic Formula always works. There are some quadratics (most of them, actually) that we can't solve by factoring. But the Quadratic Formula will always spit out an answer, whether or not the quadratic expression was factorable.

Let's try that first problem from the previous page again, but this time we'll use the Quadratic Formula instead of the laborious process of completing the square:

Use the Quadratic Formula to solve x²– 8x – 8 = 0

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wait do you want it step by step or just the answer?

the answer is 400

Answer:

30

Step-by-step explanation:

Answer: 25

Step-by-step explanation:

13 17 20 21 22  25 30 34 37

The group of hikers travelled 103.56 miles during their 6-day journey.

Equation is an expression which is used to show the relationship between two or more variables and numbers.

Let x represent the total distance travelled during the journey.

Given that he travel 17.26 miles in the first day, hence:

The group of hikers travelled 103.56 miles during their 6-day journey.

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Answer:

13,62$

Step-by-step explanation:

The total hours Riley worked last week: 7.5*3= 22.5 (hours)

Riley's hourly rate of pay: 306.45/ 22.5= 13.62$

Answer:

Evaluate.

15.91828182 = 289.47

Answer:

A

Step-by-step explanation:

(A) would be correct.

A^x would yield (0.9^60)^x when plugged in. Since an exponent

on the parenthesis surrounding a number with an exponent already

just gets multiplied to the number's exponent, we'd end up with

      0.9^60*x , which is the same as the given example.

The value of the integral ∫∫∫ e²(x² + y²) dV in cylindrical coordinates is h (e²a - 1) π.

To evaluate the integral ∫∫∫ e²(x² + y²) dV in cylindrical coordinates, to express the integral in terms of cylindrical coordinates and determine the appropriate limits of integration.

In cylindrical coordinates, the variables are represented as (ρ, θ, z), where ρ is the radial distance, θ is the angle in the xy-plane, and z is the vertical coordinate.

The region e can be described as the volume inside the cylinder x² + y² ≤ a², where a is the radius of the cylinder.

In cylindrical coordinates, the equation of the cylinder x² + y²= a² becomes ρ² = a².

Therefore, the limits of integration for ρ are 0 to a, the limits for θ are 0 to 2π (covering a complete revolution), and the limits for z depend on the height of the cylinder.

If the height of the cylinder is h, then the limits for z would be -h/2 to h/2.

express the integral in cylindrical coordinates:

∫∫∫ e²(x² + y²) dV = ∫(0 to 2π) ∫(0 to a) ∫(-h/2 to h/2) e²(ρ²) ρ dz dρ dθ the integrand e²(ρ²)  depend on the angle θ,  factored out of the θ integration.

∫∫∫ e²(x² + y²) dV = ∫(0 to 2π) ∫(0 to a) e²(ρ²) ρ ∫(-h/2 to h/2) dz dρ dθ

The innermost integration with respect to z simply evaluates to h:

∫∫∫ e²(x² + y²) dV = ∫(0 to 2π) ∫(0 to a) e²(ρ²) ρ h dρ dθ

The integration with respect to ρ can be done by substitution. Let u = ρ², then du = 2ρ dρ:

∫∫∫ e²(x² + y²) dV = ∫(0 to 2π) ∫(0 to a) e²u/2 h (1/2) du dθ

= (h/2) ∫(0 to 2π) ∫(0 to a) e²u du dθ

= (h/2) ∫(0 to 2π) [e²u] (0 to a) dθ

= (h/2) ∫(0 to 2π) (e²a - 1) dθ

= (h/2) (e²a - 1) ∫(0 to 2π) dθ

= (h/2) (e²a - 1) [θ] (0 to 2π)

= h (e²a - 1) π

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Answer:

QRS = 180°

TS = 74°

TPS = 106°

PQ = 42°

Step-by-step explanation:

QRS = 180°

TS = 74°

TPS = 106°

PQ = 42°

Answer:

5000

Step-by-step explanation:

312.5 = .25 x .25 x p so .25 times .25 is .0625, divide 312.5 by .0625 and its 5000

The abscissa on the curve x^2 = 2y which is nearest to the point (4,1) is x = √(3/8).

Given the equation x^2 = 2y.

The coordinates of the point are (4,1).We have to find the abscissa on the curve that is nearest to this point.So, let's solve this question:

To find the abscissa on the curve x2 = 2y which is nearest to the point (4,1), we need to apply the distance formula.In terms of x, the formula for the distance between a point on the curve and (4,1) can be written as:√[(x - 4)^2 + (y - 1)^2]But since x^2 = 2y, we can substitute 2x^2 for y:√[(x - 4)^2 + (2x^2 - 1)^2].

Now we need to find the value of x that will minimize this expression.

We can do this by finding the critical point of the function: f(x) = √[(x - 4)^2 + (2x^2 - 1)^2]To do this, we take the derivative of f(x) and set it equal to zero: f '(x) = (x - 4) / √[(x - 4)^2 + (2x^2 - 1)^2] + 4x(2x^2 - 1) / √[(x - 4)^2 + (2x^2 - 1)^2] = 0.

Now we can solve for x by simplifying this equation: (x - 4) + 4x(2x^2 - 1) = 0x - 4 + 8x^3 - 4x = 0x (8x^2 - 3) = 4x = √(3/8)The abscissa on the curve x^2 = 2y that is nearest to the point (4,1) is x = √(3/8).T

he main answer is that the abscissa on the curve x^2 = 2y which is nearest to the point (4,1) is x = √(3/8).

The abscissa on the curve x^2 = 2y which is nearest to the point (4,1) is x = √(3/8).

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Answer:

that you can define a tangent relationship between a line and an arc. If the adjoining elements change, the tangent relationship is maintained between the elements. Geometric relationships control how a sketch changes when edits are made.

Step-by-step explanation:

i took this i guess and it was gud

a) A circle graph inaccurately displays the data because the data is not about parts of a whole.

b) Line graph would best display the data.

A circle is divided into sectors that each represent a component of a whole to create a circle graph, which is a visual representation of data.

An individual data point is connected by a line in a line graph, sometimes referred to as a line plot or a line chart. A line graph shows numerical values over a predetermined period of time.

a) Since circle graphs are designed to depict data consisting of parts of a whole, a data set consisting of temperature variations over the course of a week would be wrongly displayed by one.

b) Since line graphs are the most appropriate for a data set that is tied to time, a line graph would be the most effective way to display the given data.

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The Speed of the bottom of the ladder moving along the ground will be: 1.33 ft/s

When the ladder is 13 ft long and the bottom is 8 ft from the wall then by Pythagoras' theorem we determine the height of the wall where the ladder touches.

Giving x= 13 ft. If the ladder is falling with a speed of  5 ft/s

This shows that the bottom of the ladder will travel from 8ft to 10 ft in 1.5 seconds. the speed to be:

v = S / t

v = 2 / 1.5

v = 1.33 ft/s

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The coordinate of the midpoint of line segment with endpoints (5,5) and (10,8) is ( 15/2, 13/2 ).

The midpoint formula is expressed as;

M = ( (x₁+x₂)/2, (y₁+y₂)/2 )

Given the data in the question;

Endpoint 1(5, 5)

Endpoint 2(10,8)

Plug the given points into the above formula and simplify.

M = ( (x₁+x₂)/2, (y₁+y₂)/2 )

M = ( ( 5 + 10 )/2, ( 5 + 8 )/2 )

M = ( 15 )/2, ( 13 )/2 )

M = ( 15/2, 13/2 )

Therefore, the midpoint of the segment is ( 15/2, 13/2 ).

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Answer:

2,075 = 5 × 5 × 83

√2,075 = 5√83 = about 45.55

a. residual is much larger than the rest of the residual values.

In regression analysis, an outlier refers to an observation that significantly deviates from the expected pattern or trend of the data. Specifically, it is an observation whose residual (the difference between the observed value and the predicted value) is much larger than the residuals of the other observations.

Outliers can have a considerable impact on the regression model, affecting the estimated coefficients and overall model fit. It is important to identify and assess outliers to determine if they are influential or if they should be treated or removed to ensure the reliability and validity of the regression analysis.

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Therefore, the first term is 3.01, the common ratio is 10, and the explicit rule for the nth term is: aₙ = 3.01 * 10ⁿ⁻¹.

A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous term by a constant called the common ratio.

Let the first term be "a" and the common ratio be "r".

Then, we have:

4th term = ar³ = 3010

7th term = ar⁶ = 3010000

Dividing the second equation by the first, we get:

(ar⁶) / (ar³) = 3010000/3010

r³ = 1000

r = 10

Substituting this value of "r" in the first equation, we get:

ar³ = 3010

a(10³) = 3010

a = 3.01

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The solution of the quadratic equation is x = 2. Therefore, \(\frac{4+\sqrt{-4^{2}-4(1)(4) } }{2(1)}\)  or \(\frac{4-\sqrt{-4^{2}-4(1)(4) } }{2(1)}\)

The quadratic formula can be use to solve the quadratic equation as follows:

x² - 4x + 4 = 0

Modelling it to quadratic equation, ax² + bx + c

Hence,

using quadratic formula,

\(\frac{-b+\sqrt{b^{2}-4ac } }{2a}\) or \(\frac{-b-\sqrt{b^{2}-4ac } }{2a}\)

where

Hence,

a = 1

b = -4

c = 4

Therefore,

\(\frac{4+\sqrt{-4^{2}-4(1)(4) } }{2(1)}\) or \(\frac{4-\sqrt{-4^{2}-4(1)(4) } }{2(1)}\)

Finally

x = 2

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Dimensions of the area enclosed is 800 * 800 and the maximum area = 6,40,000 square yards.

Given:

Liana has 3200 yards of fencing to enclose a rectangular area.

Let l and b be the length and width.

we know that:

perimeter of rectangle = 2(l+b)

2l + 2b = 3200

l+b = 1600

b = 1600 - l

Area of rectangle A = lb

= l*1600-l

= 1600 l - l^2

Apply derivative:

dA/dl = 1600 - 2l

1600 - 2l = 0

1600 = 2l

l = 1600/2

l = 800

l+b = 1600

b = 1600 - 800

= 800

Area = 800*800

= 6,40,000

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126

12=84

6=42

84+42=126

Hope this helps!!! Have an amazing night!!!!

While graph A shows a Strong Negative Correlation (Option E), Graph B shows a No Correlation. (Option C)

A significant negative correlation, on the other hand, suggests a substantial relationship between the two variables, but that one rises while the other falls. For example, a correlation of -0.97 suggests a high negative connection, whereas a correlation of 0.10 shows a mild positive correlation.

A scatter plot, also known as a scatter graph or scatter chart, employs dots to represent the values of many numerical variables. To demonstrate a weak positive association, the value of Y grows slightly as the value of X increases.

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Answer: 2

Step-by-step explanation:

2x+1+5x-13

7x+14

14/7=2

Answer:

-15,-9,-3,3,9

Step-by-step explanation:

Answer: slopes will be the same!

Step-by-step explanation:

Answer:

In other words, the slopes of parallel lines are equal. Note that two lines are parallel if their slopes are equal and they have different y-intercepts. In other words, perpendicular slopes are negative reciprocals of each other. Here is a quick review of the slope/intercept form of a line

Step-by-step explanation:

Answer:

x<-8

Step-by-step explanation:

x+6<-2

subract 6 from both sides

x+6-6<-2-6

x<-8

Answer:

os(390)   sin(330)   csc(60)

Step-by-step explanation: