after a 15% discount an item cost22.27 what was the origanl price

Answer:

111

Step-by-step explanation:

The year in which the two quantities will be equal is 2133.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Here we have the following data.

y=0.221x-368.264 For men

y=0.168x-255.196 for women

So when we will equate these two equation we will get the year in which two quantities will be same.

0.221x-368.264=0.168x-255.196

0.221x-0.168x=368.264-255.196

0.053x = 1123.068

x= 2133 year

Hence the year in which the two quantities will be equal is 2133.

To know more about equations follow

https://brainly.com/question/2972832

#SPJ1

Answer:

Area = 657 ft^2

Step-by-step explanation:

Heron's Formula: [tex]S=\frac{a+b+c}{2}[/tex] ,

Area = [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]

[tex]s=\frac{20+21+29}{2}=\frac{70}{2} =45 ft[/tex]

[tex]Area=\sqrt{45(45-20)(45-21)(45-29)}\\\\=\sqrt{45(25)(24)(16)}\\\\=\sqrt{432000}[/tex]

= 657.267069

Area = 657 ft^2

Answer:

210 ft²

Step-by-step explanation:

Take the base and height of the triangle.

Solving for area :

Answer:

See below

Step-by-step explanation:

[tex]\csc\theta=1.2711\\\\\frac{1}{\csc\theta}=\frac{1}{1.2711}\\ \\\sin\theta=\frac{1}{1.2711}\\ \\\theta=\sin^{-1}(\frac{1}{1.2711})\\\\\theta\approx51.88^\circ\approx52^\circ[/tex]

Remember the identity [tex]\csc\theta=\frac{1}{\sin\theta}[/tex], so [tex]\sin\theta=\frac{1}{\csc\theta}[/tex] and it makes the problem easier. Just remember to take the inverse sine (let me know if you are not sure what that means).

The value of the θ in csc θ = 1.2711 is 51.88°.

A trigonometric ratio is a ratio of the length of sides of a right-angle triangle. It relates the ratio of sides to the respective angle. The most common trigonometric ratios are sine, cosine, and tangent.

Given csc θ = 1.2711, we need to find the value of θ,

So, csc θ = 1.2711

θ = csc⁻¹(1.2711)

θ = 51.88°

Hence, the value of the θ in csc θ = 1.2711 is 51.88°.

Learn more about trigonometric ratio click;

https://brainly.com/question/25122825

#SPJ2

Answer:

here is 1/2 divided displayed mathematically

1/2 ÷ 6

1= numerator

2= denominator

3= whole number

to make it fraction from the answer you keep the

numerator by the whole number to make a new

denominator

___1___ = _1_

2×6 12

thus the answer to 1/2 divided by 6 on fraction form is

1/12 is the answer

Answer:

I do not know. sorry I couldn't help

The population of the country by an exponential function which is used to describe the population of a country in millions t years after the 2003 is, 645.4.

Exponential function is the function in which the function growth or decay with the power of the independent variable. The curve of the exponential function depends on the value of its variable.

The population model, which describes the population of a country in millions t years after the 2003 is,

[tex]A=645.4 e^{0.001t}[/tex]

For the year 2003 the value of t will be 0 as no year is passed after 20036. Thus,

[tex]A=645.4 e^{0.001\times0}\\A=645.4 e^{0}\\A=645.4(1)\\A=645.4[/tex]

Thus, the population of the country by an exponential function which is used to describe the population of a country in millions t years after the 2003 is, 645.4.

Learn more about the exponential function here;

https://brainly.com/question/15602982

#SPJ1

Answer:

Step-by-step explanation:

Answer:

20 square units

Step-by-step explanation:

Area of a parallelogram is calculated with the following formula:

b*h (b: base, h: height)

5*4 = 20 square units

Answer:

Hello,

11.2 is your answer!

Let's Beginnn.... READ EXPLANATION!!! ITS ALWAYS HELPS... TRUST MEEEEEEEEEEE!!!!

Step-by-step explanation:

Okay so this is clearly a pythagorean theorem question....

Imagine a ladder on a wall..... its kinda like a triangle.....

with that said... lets begin the math... A^2 + B^2 = C^2

The problem itself gives us c and a.

We have to solve for b.

33^2 - 8^2= b^2

1089 - 64 = 1025 = b^2

notice that we found b^2 but we are looking for b

so we have to take the square root....

√1025= 11.18

it says round to nearest tenth.... sooooo

11.2 is your answer!

Answer:

They are consistent and independent

Step-by-step explanation:

Consistency

If two lines have an intersection point, they are said to be consistent. For example, two parallel lines do not have an intersection and therefore they are inconsistent.

In the problem, the two lines intersect at (1, -2) so they have a unique solution and therefore consistent.

Dependency

Two lines are said to be independent if one of them cannot be written as an integer multiple of the other. Or, in other words, if the slope-intercept form of both equations have different slope and y intercept

Note: slope-intercept form of an equation is y = mx + c where m is the slope and c the y intercept

Line 1: 5x - y = 7 can be written as y = 5x - 7 which has slope +5 and y intercept -7

Line2 : 5x + 6y = -7 can be re-written as y = (-5/6)x - (7/6). This has slope -5/6 and y intercept -7/6

Since slope and intercepts of both lines are different they form a system of independent equations

Answer:

€7200

Step-by-step explanation:

20%---------1440

100%----------y

y= 100×1440/20

y= 144000/20

y= €7200

price before decrease= €7200

Answer:

The mean would be 29 and the median would be 17

Step-by-step explanation:

Hope this helps! :)

Answer:

23 players.

Step-by-step explanation:

5 x 4 + 3 = 23

Answer:

One of the practical situation of geometric series is : A ball bouncing is an example of a finite geometric sequence. Each time the ball bounces it’s height gets cut down by half. If the ball’s first height is 4 feet, the next time it bounces it’s highest bounce will be at 2 feet, then 1, then 6 inches and so on, until the ball stops bouncing

Answer:

Geometric series are seen in practical situations, most notably in those involving geometric growth or decay. If a series of numbers are formed by percentages, then it can result in a geometric sequence. Ex. compound interest (see below).

Step-by-step explanation:

A geometric series is the result of adding the terms of a geometric sequence. These sequences have a common ratio, r, which is used to find missing terms. The common ratio is found with [tex]r=\frac{a_n}{a_{n-1}}[/tex]. For example, [tex]a_1(r)=a_2, \mbox{ and } a_2(r)=a_3... \mbox{ etc.}[/tex]

Geometric sequences can be used to model practical situations, and such situation could involve geometric growth or decay.

A geometric sequence can be used to model compound interest. An example of this is [tex]A = P (1 + \frac{r}{100})^n[/tex] where the common ratio, r, of the series is equal to 1 + r/100 in the compound interest formula above.

The true statement about the coordinate plane is C. Figures 1 and 2 are not congruent because figure 1 cannot be mapped into figure 2.

A coordinate plane simply means a two dimensional plane that's is formed by the intersection of a vertical line.

In this case, the true statement about the coordinate plane is that Figures 1 and 2 are not congruent because figure 1 cannot be mapped into figure 2 using a sequence of rigid transformation.

Learn more about coordinate plane on:

https://brainly.com/question/2644832

#SPJ1

Answer:

1.75

Explanation:

Take two points: (0, -3), (4,4)

[tex]\sf rate \ of \ change: \dfrac{y_2- y_1}{x_2 - x_1} = \dfrac{rise}{run}[/tex]

Here rate of change:

[tex]\sf \rightarrow \dfrac{4-(-3)}{4-0}[/tex]  (insert values)

[tex]\sf \rightarrow \dfrac{7}{4}[/tex]             (in fraction)

[tex]\sf \rightarrow 1.75[/tex]         (in decimals)

Answer:

1.75

Step-by-step explanation:

Rate of change = slope of the line

Taking two points (4,4) and (0, -3) :

Answer:

2/3

Step-by-step explanation:

2/15 of 5

Of means multiply

2/15 * 5

Multiply the numerators

2*5 = 10

Put over the denominator

10/15

We can divide the top and bottom by 5

10/5 =2

15/5 =3

2/3

Answer:

Step-by-step explanation:

This value is exact.

===============================================================

Explanation:

Use your favorite spreadsheet app to form a third column of values. This new column will be the result of multiplying the original two columns.

For instance, we have x*P(x) = 10*0.534 = 5.34 as the first entry of the new column. The other rows are treated in a similar manner. Refer to the screenshot below..

After getting that third column set up, add up those results. The sum is the expected value (aka the mean mu, which is the symbol [tex]\mu[/tex])

5.34 + 3.86 + 4.2 + 3.4 + 2.4 = 19.2

Answer:

11.18 is the missing length

Please put a picture next time :)

Answer:

44

Step-by-step explanation:

Parenthesis

Exponents

Multiplication/Division (left to right)

Addition/Subtraction (left to right)

42 + (9 ÷ 3 x 2) - 4 <== divide first (left to right)
42 + ((9 ÷ 3) x 2) - 4

42 + (3 x 2) - 4 <== multiply

42 + 6 - 4 <== add

48 - 4 <== subtract

44

Final answer: 44

Hope this helps!

Answer:

(2,5)

Step-by-step explanation:

Since it is reflected across the y-axis only the x point will change and vise-versa

Answer:

The slope is 0

Step-by-step explanation:

Solve the equation for y

y+3=0

y = -3

The slope intercept form is

y = mx+b

where m is the slope and b is the y intercept

y = 0x-3

The slope is 0 and the y intercept is -3

Answer: The Slope Is 3

Step-by-step explanation:

You are missing the x after the 3.

considering the linear equation y=mx+b, the coefficient of x is ALWAYS the slope (rate of change)

Answer:

  y = 1·cos(π/3·x) +3

Step-by-step explanation:

The general form of the trig equation will be ...

  y = (amplitude)·cos(2π/(period)·x) +(midline shift)

__

You have already determined correctly that the midline shift is 3 units.

The amplitude is the difference between the peak value (4) and the midline, so is ...

  amplitude = peak - midline = 4 -3 = 1

The period is the horizontal distance between corresponding parts of the graph. Here, the distance between peak values is 6 units, so the period is 6. That means the argument of the cosine function is ...

  (2π)/6·x = (π/3)·x

__

The function you are looking for is ...

  [tex]y=1\cdot\cos\left(\dfrac{\pi}{3}x\right)+3[/tex]

Answer:

[tex]y=\boxed{1}\: \cos(\:\boxed{1}\:x)+\boxed{3}[/tex]

Step-by-step explanation:

General form of cos periodic function:

y = A cos(B(x + C)) + D

where:

Parent function → y = cos(x)

The parent function y = cos(x) has a center line at y = 0.

The center line of the new function is at y = 3, so the parent function has been shifted vertically by 3 units.  Therefore, D = 3:

⇒ y = A cos(B(x + C)) + 3

The amplitude of the parent function is 1.

The amplitude of the new function is also 1.  Therefore, A = 1:

⇒ y = 1 cos(B(x + C)) + 3

The parent function has a peak at x = 0.

The new function has a peak at x = 0.  Therefore there has been no horizontal phase shift, so C = 0:

⇒ y = 1 cos(B(x + 0)) + 3

⇒ y = 1 cos(Bx) + 3

Finally, from inspection of the curve, the period appears to be 2π (6.28)

2π/B = 2π  so  B = 1

⇒ y = 1 cos(1x) + 3

Please see attached graph for reference.

Answer:

Hope it help

Step-by-step explanation:

1. B
2. A
3. C
4. C

5. D

Answer:

Step-by-step explanation:

[tex]f(x) = \dfrac{2}{3}x-4\\[/tex]

When x = 0  ;   f(x) = 0-4 = -4

When x = 3  ;

       [tex]\sf f(3) =\dfrac{2}{3}*3-4\\\\ = 2-4\\\\ f(3) = -2[/tex]

When x = 6,

           [tex]\sf f(6) = \dfrac{2}{3}*6-4\\\\ f(6) =2*2-4 = 4-4\\\\ f(6)= 0[/tex]

When x = -6;

         [tex]\sf f(-6) =\dfrac{2}{3}*(-6)-4\\\\[/tex]

                   = 2*(-2)-4

                   = -4 - 4

          f(-6) = -8

If the number of visitors on Friday, Saturday, and Sunday is x, x + 500, and x + 250. Then the total number of visitors will be 3x + 750.

Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.

Tanisha's website had x visitors on Friday.

On Saturday, it had 500 more visitors than it did on Friday. That is x + 500

The total number of visitors on Friday and Saturday was twice the number on Sunday. That is (2x + 500)/2

Then the total number of the visitors will be

→ Friday + Saturday + Sunday

Then we have

[tex]\rm \rightarrow x + x + 500 + \dfrac{2x + 500}{2}\\\\\rightarrow 2x + 500 + x + 250\\\\\rightarrow 3x + 750[/tex]

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ1