A company has found that the demand for its product varies inversely as the price of the product. When the price x is 4.75 dollars, the
demand y is 500 units.
Find a mathematical model that gives the demand y in terms of the price x in dollars.

Based on mathematical operations, the lowest amount that Annabel can pay for pencils is $15.20

The lowest amount that Annabel can pay for pencils can be determined using the mathematical operations of multiplication and division.

Multiplication and division are two of the four basic mathematical operations, including addition and subtraction.

If Annabel chooses to purchase the first pencil at 30p each, she would pay £22.80 (£0.30 x 76).

If Annabel chooses to purchase the second pencil class of a pack of 10 pencils for £2, she would pay £15.20 [£2 x (76 ÷ 10)].

Pencils for sale

30p each

Pack of 10 pencils for £2

Thus, if Annabel wants to buy the pencils, she can either pay £15.20 or £22.80, but using mathematical operations, the lowest amount she can pay is £15.20.

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Answer:

you make them into groups

Step-by-step explanation:

Answer:

Make them into groups

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

add them up I don't know

Step-by-step explanation:

Answer:

26.13

Step-by-step explanation:

to find the area of a circle, it's pi*r squared:

pi*3squared=9pi

it's a semi-circle so you divide it by two=4.5pi

they are telling us to use 3.14 instead of pi, so it would be:

4.5*3.14=14.13

now we find the area of the triangle. And we use the formula, (height*base)/2:

6*4/2=12

now we add the sums together, which is:

12+14.13=26.13

The ratio of the circumference of a circle with radius r to its area is 2:r or 2 to r.

A circle is a two-dimensional shape that is defined as the set of all points in a plane that are at a fixed distance, called the radius, from a given point, called the center. The distance around the circle is called the circumference, and the distance across the circle passing through the center is called the diameter.

The circumference of a circle with radius r is given by the formula:

C = 2πr

The area of a circle with radius r is given by the formula:

A = π×r²

Therefore, the ratio of the circumference of a circle with radius r to its area is:

C/A = (2πr) / (πr²)

Simplifying the expression by canceling out π and r from the numerator and denominator, we get:

C/A = 2/r

Therefore, the ratio of the circumference of a circle with radius r to its area is 2:r or 2 to r.

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The complete question is:

Find the following ratio.

The ratio of circumference of circle with radius r to its area.

Answer:

\(\frac{12}{\sqrt{10} +\sqrt{7} +\sqrt{3} }=\frac{6\sqrt{147} +6\sqrt{63}-6\sqrt{210} }{21 }\)

Step-by-step explanation:

\(\frac{12}{\sqrt{10} +\sqrt{7} +\sqrt{3} }\)

\(=\frac{12\left( \sqrt{10} -\left( \sqrt{7} +\sqrt{3} \right) \right) }{(\sqrt{10}+(\sqrt{7} +\sqrt{3 } ))( \sqrt{10} -( \sqrt{7} +\sqrt{3}))}\)

\(=\frac{12\left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right) }{\sqrt{10^2} -(\sqrt{7} +\sqrt{3})^2}\)

\(\frac{12\left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right) }{10-(10+2\sqrt{21} )} }\)

\(=\frac{12\left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right) }{-2\sqrt{21} }\)

\(=\frac{-6\left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right) }{\sqrt{21} }\)

\(=\frac{-6\left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right) }{\sqrt{21} } \times\frac{\sqrt{21} }{\sqrt{21} }\)

\(=\frac{-6\sqrt{21} \left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right) }{21 }\)

\(=\frac{-6\sqrt{210} +6\sqrt{147} +6\sqrt{63} }{21 }\)

\(=\frac{6\sqrt{147} +6\sqrt{63}-6\sqrt{210} }{21 }\)

Remark:

You can simplify moreover if you want to.

The actual distance is 90 miles between the town and the state capital based on the scale of the map

1/2 inch on the map = 10 miles

So, 1 inch = 20 miles

Distance between the town and state capital = 4 1/2 inches

The mathematical relationship between a small unit of measurement on a map, such as an inch or centimetre, and the corresponding real-world unit of distance, such as a kilometre or a mile, is known as a map scale.

The actual distance in miles between the town and the state capital is given by:

Distance between town and state capital* Scale of the map

= 4.5*20

= 90 miles

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Answer:

out of 100

Step-by-step explanation:

Answer:

Let h be the number of additional hours parked, then the total charge in dollars is:

Answer:

36 < (x - 2)² + (y + 3)² and 16 > (x - 4)² + y²

Step-by-step explanation:

This is because the shaded area is inside the first circle (centered at (4, 0) with a radius of 4) but outside the second circle (centered at (2, -3) with a radius of 6). The inequalities reflect these conditions by setting the inequality signs accordingly. The inequality with "<" for the first circle ensures that the shaded area is within the circle, and the inequality with ">" for the second circle ensures that the shaded area is outside the circle.

Answer:

The trigonometric ratios associated with (-5, -4) are \(\sin t \approx -0.625\), \(\cos t \approx -0.781\) and \(\tan t = 0.8\).

Step-by-step explanation:

Let \(\vec u = (x,y)\). From Trigonometry, we remember the following definitions for the trigonometric ratios, dimensionless:

\(\sin t = \frac{y}{\sqrt{x^{2}+y^{2}}}\) (1)

\(\cos t = \frac{x}{\sqrt{x^{2}+y^{2}}}\) (2)

\(\tan t = \frac{y}{x}\) (3)

If we know that \(x = -5\) and \(y = -4\), then the trigonometric ratios are, respectively:

\(\sin t = \frac{-4}{\sqrt{(-5)^{2}+(-4)^{2}}}\)

\(\sin t \approx -0.625\)

\(\cos t = \frac{-5}{\sqrt{(-5)^{2}+(-4)^{2}}}\)

\(\cos t \approx -0.781\)

\(\tan t = \frac{-4}{-5}\)

\(\tan t = 0.8\)

The trigonometric ratios associated with (-5, -4) are \(\sin t \approx -0.625\), \(\cos t \approx -0.781\) and \(\tan t = 0.8\).

Answer:

Step-by-step explanation:

You have a chemical that decayed from 39.2 barrels after 4 days to 21.5 barrels after 7 days, and you want to know the initial amount, the rate of change after 4 days, and the number of days until the amount is 2 barrels.

Given two value and times (t₁, v₁) and (t₂, v₂), you can write the exponential function that models this change as ...

  \(v(t)=v_1\left(\dfrac{v_2}{v_1}\right)^{\dfrac{t-t_1}{t_2-t_1}}\\\\\boxed{v(t)=39.2\left(\dfrac{215}{392}\right)^{\dfrac{t-4}{3}}}\)

The initial amount is v(0):

  v(0) = 39.2(215/392)^(-4/3) ≈ 87.3

About 87.3 barrels were initially dumped in the swamp.

The rate of change after 4 days is the value of the derivative of the function at that time.

  v'(t) = 39.2(1/3)(215/392)^((t-4)/3))·ln(215/392)

  v'(4) = 39.2(1/3)·ln(215/392) ≈ -7.8 . . . barrels per day

The Trioxin was decreasing at a rate of 7.8 barrels per day.

We can solve for t:

  v(t) = 2 = 39.2(215/392)^((t-4)/3)

  2/39.2 = (215/392)^((t-4)/3) . . . . . . . . divide by 39.2

  ln(20/392) = (t -4)/3·ln(215/392) . . . . . take logs

  t -4 = 3·ln(5/98)/ln(215/392) . . . . . . . . . . divide by the coefficient of t-4

  t = 4 +3·ln(5/98)/ln(215/392) ≈ 18.9

It will take about 18.9 days for the amount to drop to 2 barrels.

__

Additional comment

Often, an exponential model is of the form ...

  v(t) = v₀·e^(kt)

In this form, the model is ...

  v(t) = 87.314·e^(-0.20021t) ≈ 87.3e^(-0.2t)

Answer:

NK = 42

Step-by-step explanation:

Scale factor of dilating KLMN to form K'L'M'N' = ⅔. This fraction implies there was a reduction of the original shape to form the new image/shape.

NK corresponds to N'K'

N'K' = 28

To get the NK, divide 28 by the scale factor.

28 ÷ ⅔ = 28*³/2 = 42

NK = 42

The analysis shows that the company experienced significant growth in assets from 2017 to 2018, which could be a positive sign for investors and stakeholders.

Horizontal analysis is used to examine a company's financial statements over time. It is typically represented as a percentage increase over the same line item in the base year. Horizontal analysis enables users of financial statements to quickly identify trends and growth patterns.

To perform a horizontal analysis, we need to compare the changes in the values of assets between two years (2017 and 2018) as a percentage of the base year (2017). The analysis is as follows:

Assets                                    2017        2018        Change   % Change

Cash                                     $2,500 $3,900  $1,400  56%

Accounts receivable, net    $35,000 $40,000  $5,000     14%

Inventory                               $85,000 $122,000  $37,000   44%

Other current assets            $3,400      $4,110       $710        21%

Total current assets              $125,900  $170,010   $44,110    35%

PPE, net                                 $180,000  $230,000  $50,000  28%

Other assets                         $15,000    $26,000   $11,000    73%

Total assets                          $320,900   $426,010  $105,110 33%

Interpretation

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Answer:

\(IQR=Q_{3}-Q_{1}\)

Step-by-step explanation:

The inter-quartile range is a measure of dispersion of a data set.

It is the difference between the third and the first quartile.

\(IQR=Q_{3}-Q_{1}\)

The 1st quartile (Q₁) is well defined as the mid-value amid the minimum figure and the median of the data set. The 2nd quartile (Q₂) is the median of the data. The 3rd quartile (Q₃) is the mid-value amid the median and the maximum figure of the data set.

Answer:

I need to go and take my shower now.

Answer:

umm realmente no lo sé

Step-by-step explanation:

Answer:

YES DOOD TY FOIR THE COINS DOOD

Step-by-step explanation:

The red graph represents y < -2x + 3

The blue graph represents y > 6x - 9

The solutions of the system of inequalities lie on the red-blue shaded

The part which has two colors

Since the first inequality is y < -2x + 3, the shaded is under the line

Since the second inequality is y > 6x - 9, the shaded is over the line

The common shaded of the two colors represents the area of the solutions of the 2 inequalities

The type of boundary lines is dashed

The points on the boundary lines are

For the red line (0, 3) and (4, 0)

For the blue line (0, -9) and (1, -3)

There is a common point on the two lines (1.5, 0)

Answer:

----------------------------------

Both cars will make same distance but the first one will be on road for 3 more hours.

Let the number of hours the first car in travel be x.

Then set an equation:

Answer:

the answer to your question how many outcomes is really gonn adepend on you you slove you problem but my amswer is gonna be 7.

Answer:

2 2/3 cups of milk, 5 cups of flour, 3 1/2 cups of other ingredients ;)

The area οf family game rοοm is 152 square yards.

The tοtal space οccupied by a flat (2-D) surface οr the shape οf an οbject is defined as its area. The area οf a plane figure is the space enclοsed by its bοundary. The number οf unit squares that cοver the surface οf a clοsed fοrm is the figure's area.

Tο find the area let's divide the figure in 3 parts: twο rectangles and οne triangle.

1. Fοr area οf first rectangle:

Length = 12 yards and width = 8 yards

Area οf rectangle = L x B

Area οf rectangle = 12 x 8

Area οf first rectangle = 96 square yards

2. Area οf secοnd rectangle:

Length = 8 yards and width = 4 yards

Area οf secοnd rectangle = L x B

Area οf secοnd rectangle = 8 x 4

Area οf secοnd rectangle = 32 square yards

3. Area οf triangle:

Base = 6 yards and height = 8 yards

Area οf triangle = 1/2 x base x height

Area οf triangle = 1/2 x 6 x 8

Area οf triangle = 24 square yards

Area οf the family game rοοm = Area οf first rectangle + Area οf secοnd rectangle + Area οf triangle

Area οf the family game rοοm = 96 + 32 + 24

Area οf the family game rοοm = 152 square yards

Therefοre, the area οf family game rοοm is 152 square yards.

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Answer:

Third choice on the screenshot:
Yes, because the determinant of the coefficient matrix is 8

Step-by-step explanation:

If the determinant of a coefficient matrix is zero, then the linear system of equations it represents has no solution.

Here the coefficient matrix is

\(\begin{pmatrix}2&4\\ \:-1&2\end{pmatrix}\)

The determinant of a matrix
\(\begin{pmatrix}a\:&\:b\:\\ c\:&\:d\:\end{pmatrix}\)

is \(\:ad-bc\)

So
\(\det \begin{pmatrix}2&4\\ -1&2\end{pmatrix} = 2\cdot \:2-4\left(-1\right) = 8\)

Since it is non-zero, the system of equations will have a unique solution

Answer:

En este problema se trata de una función exponencial, donde la cantidad de microbios en el recipiente se duplica cada minuto.

Si x representa el número de minutos transcurridos y y la cantidad de microbios en el recipiente, entonces se puede expresar la función exponencial como:

y = a * (2)^x

Donde "a" es la cantidad inicial de microbios en el recipiente, en este caso a = 1.

Después de 30 minutos, la cantidad de microbios en el recipiente es:

2^30 = 1,073,741,824

Esto significa que si se coloca un solo microbio en el recipiente, se tardará 30 minutos en llenarlo.

Si se colocan 2 microbios en el recipiente, entonces la cantidad inicial de la función exponencial es a = 2, y se busca el valor de x tal que:

2 * (2)^x = 1,073,741,824

Dividiendo ambos lados por 2, se tiene:

(2)^x = 536,870,912

Tomando logaritmos base 2 en ambos lados, se tiene:

x = log2(536,870,912) = 29

Por lo tanto, si se colocan 2 microbios en el recipiente, se tardará 29 minutos en llenarlo.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The formula for the volume of a rectangular prism is V = lwh, where V is the volume, l is the length, w is the width, and h is the height.

We know that V = 5,890.625 cm^3, h = 14.5 cm, and l = 25 cm.

Substituting these values into the formula, we get:

5,890.625 = 25w(14.5)

5,890.625 = 362.5w

w = 16.25

Therefore, the width of the rectangular prism is 16.25 cm.

Answer:

It's A

Step-by-step explanation:
well all you have to do is divide like 5,890.625 dvided by 14.5 then divide again by 25 them bam you got 16.25

Answer:

(3x+2)(x-5)

Step-by-step explanation:

Factor by grouping

\(3x^2-13x-10\\=3x^2-15x+2x-10\\=3x(x-5)+2(x-5)\\=(3x+2)(x-5)\)

Answer:

48

Step-by-step explanation:

you add 12 to y side and 2 to the x side

Answer:

48

Step-by-step explanation:

12x1=12 12x2=24 12x3=36 12x4=48