Casho went shopping for a new pair of sneakers because of a sale. The price on the tag was $25, but Casho paid $22.50 before tax. Find the percent discount

An example of a geometric formula that contains pi(π) is the formula for the circumference of a circle, which is

C = 2πr. This formula is used to calculate the distance around a circle.

A geometric formula is a mathematical equation that describes a relationship between geometric figures or their properties.

Geometric formulas are used to calculate the area, perimeter, volume, surface area, and other properties of shapes such as circles, triangles, rectangles, spheres, cubes, and cylinders. For example, the formula for the area of a triangle is

A = 1/2 b×h, where b is the base of the triangle and h is its height.

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The correct option is: (b)

                                =432.

By employing multiple processes, simplification refers to reducing the expression to a simpler form. Approximation is the process of making something less complicated and hence easier to accomplish or understand, or the object that arises from this process. The mathematical formula is simplified to its nearest value but is not exactly correct.

Therefore, we must follow the order listed above when simplifying expressions. In the example before, we divide 8 by 4 and then add the result to 12 because, according to BODMAS, division (D) comes before multiples (M).

\($3 \cdot 2^{3} \cdot 2 \cdot 3^{2}Calculate exponents $2^{3}: 8$$$=3 \cdot 8 \cdot 2 \cdot 3^{2}$$Calculate exponents $3^{2}: 9$$$=3 \cdot 8 \cdot 2 \cdot 9$$ $3 \cdot 8 \cdot 2 \cdot 9= 432$$$=432$$\)

So. the value will be = 432

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I understand that the question you are looking for is :

Simplify the expression to a single numerical value.

3*2^3*2*3^2

(a)144

(b)432

(c)900

(d)5,184

Answer: I believe the answer is 5.

Step-by-step explanation:

f(1) = -(-1)^2 -4(-1)

f(1) = 1^2 + 4

f(1) = 1 + 4

f(1) = 5

Hope this helps!

The graph that shows a decreasing pattern as the input values increase is a decreasing function or a negative slope.

This can be represented by a line sloping downwards from left to right on a coordinate plane or a curve that has a decreasing trend. An example of such a graph is the exponential decay function or a downward sloping trend line on a scatter plot.

A graph that shows a decreasing pattern as the input values increase is called a negatively sloped or downward-sloping graph. In this type of graph, as the input values (x-axis) increase, the output values (y-axis) decrease. This is represented by a line or curve that slopes downward from left to right.

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Answer:

32 deg

Step-by-step explanation:

AD = DB and AE = EC

Then segment DE is parallel to segment BC by a theorem.

Angles AED and ECF are corresponding angles of parallel lines cut by a transversal, so they are congruent.

m<ECF = m<AED = 32 deg

Answer: y= -4x+13

Step-by-step explanation:

Answer:

D = 12.94 m

Step-by-step explanation:

Coordinates of first tree = A(0,8)

Coordinates of second tree = A(12,4)

We need to find the distance between the two trees. We can find it using distance formula for coordinates as follows :

\(D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

We have, x₁ = 0, x₂ = 12, y₁ = 8, y₂ = 4

Now using distance formula,

\(D=\sqrt{(12-0)^2+(4-8)^2}\\\\=\sqrt{144+16} \\\\=12.64\ m\)

So, the distance between the two trees is 12.64 m.

The percentage increase per year in the winner's check over the given period. If the winner's prize increases at the same rate, it will be $1,454,735,139.69 in 2040.

To calculate the percentage increase per year in the winner's check over the period from 1895 to 2007, we can use the following formula:

Percentage Increase = (Final Value - Initial Value) / Initial Value * 100

a. Calculating the percentage increase:

Initial Value = $140

Final Value = $1,171,000

Percentage Increase = (1,171,000 - 140) / 140 * 100 ≈ 835,714.29%

b. To estimate the winner's prize in 2040, we can assume the same annual percentage increase will continue. We need to calculate the number of years from 2007 to 2040 and apply the percentage increase to the 2007 prize.

Number of years = 2040 - 2007 = 33 years

Estimated prize in 2040 = 1,171,000 * (1 + (Percentage Increase / 100))^33

Estimated prize in 2040 = 1,171,000 * (1 + (835,714.29 / 100))^33 ≈ $1,454,735,139.69

Therefore, if the winner's prize increases at the same rate, it is estimated to be approximately $1,454,735,139.69 in 2040.

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The perimeter of the triangle will be 41ft

The perimeter of a triangle is the sum of all the sides of the triangle

From the given triangle, we need to get the third sidee firse as shown:

h² = 12² + 12²

h² = 144 + 144

h² = 288

h = 17ft

Perimeter = 12 + 12 + 17

Perimeter = 41ft

Hence the perimeter of the triangle will be 41ft

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Answer: 41 ft

Step-by-step explanation:

The two trapezoids in the figure are similar. Thus, the value of x would be equal to 33.

A trapezoid is a quadrilateral with at least one pair of sides parallel.

The two trapezoids in the figure are similar.

Since the figures are similar, the corresponding sides have the same ratio.

Here, the side must be proportional

So,

\(\sf \dfrac{40.5}{x}=\dfrac{54}{44}\)

\(\sf 1782=54x\)

Divide 54 on both sides

\(\sf x= \dfrac{1782}{54}\)

\(\sf x=33\)

Thus, the value of x is 33.

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Answer:

C

Step-by-step explanation:

The diagram of the cone is drawn and attached below.

We are given the following information:

Therefore, the label which represents the center of the base is C.

The label that represents the center of the base of the cone is the center of the base.

A cone is a three-dimensional object that is made up of a circular base and  a pointed edge at the top known as the vertex. The cone is made up of the radius, slant height and the height.  The center of a cone is the center of the base of the cone.

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Answer:

663.

Step-by-step explanation:

This means that the rate of change of I with respect to W remains constant at the rate given by k (0.088). (a) The differential equation that describes the change of the evapotranspiration index

I with respect to the amount of water available W can be written as:

dI/dW = k

where k is the constant rate of increase, which is given as 8.8% or 0.088.

(ii) To analyze the differential equation, we can examine its critical values, stability, and phase plot.

Critical value(s):

The critical value of I occurs when dI/dW = 0. In this case, since dI/dW = k, the critical value of I is 0.

Stability:

Since the rate of change of I with respect to W is a constant positive value (k = 0.088), the system is stable. This means that as the amount of water available increases, the evapotranspiration index I will also increase.

Phase plot:

A phase plot can be used to visualize the behavior of the system. In this case, the phase plot would show the relationship between I and W. However, since the equation is linear and the rate of change is constant, the phase plot would simply be a straight line with a positive slope.

(iii) According to the article, when W = 0, I has a value of 1. We can solve the initial value problem using the given initial condition.

Integrating both sides of the differential equation:

∫dI = ∫k dW

I = kW + C

Using the initial condition I = 1 when W = 0:

1 = k(0) + C

C = 1

So the solution to the initial value problem is:

I = kW + 1

(iv) As W becomes larger and larger, the evapotranspiration index I will also increase linearly with a slope of k. This means that the rate of change of I with respect to W remains constant at the rate given by k (0.088). Therefore, as W increases, I will continue to increase at a constant rate, reflecting the relationship between soil moisture (I) and the amount of water available (W).

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Answer:

B and C

Step-by-step explanation:

(15)

The opposite sides of a parallelogram are equal , so

CD = AB , that is

7x - 54 = 5x - 2 ( subtract 5x from both sides )

2x - 54 = - 2 ( add 54 to both sides )

2x = 52 ( divide both sides by 2 )

x = 26

Then

CD = 7x - 54 = 7(26) - 54 = 182 - 54 = 128 → B

(16)

Consecutive angles are supplementary, sum to 180° , then

6y + 19 + 2y + 9 = 180

8y + 28 = 180 ( subtract 28 from both sides )

8y = 152 ( divide both sides by 8 )

y = 19

Then

∠ B = 6y + 19 = 6(19) + 19 = 114 + 19 = 133°

Opposite angles are congruent , so

∠ D = ∠ B = 133° → C

Answer: .

Step-by-step explanation:

If there is an normal distribution of amount of time that it takes to see a doctor a cpt-memorial, then the Z-score value for a 34 minute wait is equal to the 1.1.

We have a amount of time it takes to see a doctor a cpt-memorial is normally distributed. Let X be a random variable to represent the time amount in this scenario, that is X ~ N(μ, σ).

Mean, \(, \mu\) = 23 minutes

Standard deviations, \( \sigma\)

= 10 minutes

We have to calculate Z-score for 34 a minute wait. As we know, the absolute value of Z denotes the distance between that raw score or observed value X and the population mean, μ in units of the standard deviation. Mathematically, formula for Z-score is \(Z = \frac{ X - \mu } {\sigma} \)

where, Z --> Z-score

X--> observed value

σ --> standard deviations

μ --> population mean

Here, X = 34 minutes so plug all known values, \(Z = \frac{34 - 23}{10}\)

=> Z = 11/10 = 1.1

Hence, the required Z-score value is 1.1.

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The inequality which represents the given situation will be 2.25x + 2y ≤ 25.

A mathematical phrase in which the sides are not equal is referred to as being unequal. In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.

Suppose the cost of an apple is x and the cost of one mango is y.

2.25x + 2y = total cost

2.25x + 2y ≤ 25

Hence "The inequality which represents the given situation will be 2.25x + 2y ≤ 25".

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Answer:

152.32

https://youtu.be/dQw4w9WgXcQ

Answer: y = -4/9x + 11/3

Step-by-step explanation:

Answer:

128 <33

Step-by-step explanation:

6 ÷ 3 + 32 • 4 - 2 = 128

▪︎▪︎▪︎▪︎▪︎▪︎

Answer:

this statement is true

hope it helps you

For the given ellipse, the height of the ceiling at the center is 5 meters.

From the properties of an ellipse, we know that the distance from the center to one of the foci is a, and the distance from the center to one of the vertices is b. We can find these values using the equation of an ellipse:

(x²/a²) + (y²/b²) = 1

At the center of the gallery, x = 0, and we know that the major axis length is 36 meters, so b = 18 meters. We can solve for a by using the fact that the distance between the two foci is 10 meters:

2a = 36 - 10 = 26

a = 13

Therefore, the distance from the center to one of the foci is 13 meters, and the distance from the floor to the same focus is 13 - 5 = 8 meters.

Thus, the height of the ceiling at the center of the gallery is 13 - 8 = 5 meters.

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Answer:

12 should be 41

Step-by-step explanation:

12) the pattern is an increase by 5 each time. This would mean the 8th term is 40. However, it starts at 1, so you should add 1 to this answer, making it 41. This pattern is y=5x+1 if x is that number in the pattern and y is the answer.

Answer:

Well let me help you with 12! :)

Step-by-step explanation:

Wellit really isn't adding it is a pattern. So you see 1, 6, 11, 16? See the pattern of how it is only with the numbers 1 and 6 and and it goes like 1, 6, 11, 16, then you keep going.

Your Welcome! :)

Answer:

Using the volume formula we know that (B) 27 cubes can be fitted into the right rectangular prism.

What is the right rectangular prism?

The right rectangular prism has four rectangle-shaped side faces and two parallel end faces that are perpendicular to each of the bases.

Parallelograms make up the sides of an oblique prism, a non-right rectangular prism.

A cuboid is yet another name for a right rectangle prism.

So, the volume of the right rectangular prism:

V = wlh

Insert values:

V = wlh

V = 6*8*4.5

V = 216cm³

Now, the volume of the cube:

V = a³

V = 2³

V = 8cm³

Then, the number of cubes that can be fitted in the right rectangular prism:

216/8 = 27

Therefore, using the volume formula we know that (B) 27 cubes can be fitted into the right rectangular prism.

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Correct question:

How many cubes, with side measures of 2 cm, will fit inside a right rectangular prism with dimensions of 6 cm by 8 cm by 4 1/2 cm?

Group of answer choices

a. 24

b. 27

c. 108

d. 54

The final answer is 27

To determine how many cubes will fit inside the right rectangular prism, we need to find the volume of the prism and the volume of the cubes, then divide the volume of the prism by the volume of the cubes.

Volume of a cube (V_cube) = side^3
V_cube = 2 cm * 2 cm * 2 cm = 8 cubic cm

Volume of the right rectangular prism (V_prism) = length * width * height
V_prism = 6 cm * 8 cm * 4.5 cm = 216 cubic cm

Now, divide the volume of the prism by the volume of the cubes:
Number of cubes = V_prism / V_cube = 216 cubic cm / 8 cubic cm = 27 cubes

Therefore, 27 cubes with side measures of 2 cm will fit inside the right rectangular prism.

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Therefore, the abundance of copper-63 (Cu-63) is approximately 71.44% and the abundance of copper-65 (Cu-65) is approximately 28.56%.

To find the abundance of each isotope of copper, we can set up a system of equations using the average mass and the masses of the individual isotopes.

Let x represent the abundance of copper-63 (Cu-63) and y represent the abundance of copper-65 (Cu-65).

The average mass is given as 63.5 amu, which is the weighted average of the masses of the two isotopes:

(62.9296 amu * x) + (64.9278 amu * y) = 63.5 amu

We also know that the abundances must add up to 100%:

x + y = 1

Now we can solve this system of equations to find the values of x and y.

Rearranging the second equation, we have:

x = 1 - y

Substituting this into the first equation:

(62.9296 amu * (1 - y)) + (6.9278 amu * y) = 63.5 amu

Expanding and simplifying:

62.9296 amu - 62.9296 amu * y + 64.9278 amu * y = 63.5 amu

Rearranging and combining like terms:

1.9982 amu * y = 0.5704 amu

Dividing both sides by 1.9982 amu:

y = 0.5704 amu / 1.9982 amu

y ≈ 0.2856

Substituting this back into the equation x = 1 - y:

x = 1 - 0.2856

x ≈ 0.7144

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Answer:

27.26

Step-by-step explanation: