Ray purchased a jacket with 60% discount, for $240. how would you calculate price before a sale?

Answer:

20

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Answer:

Correct Answer is B.) 4.8 units

Answer:

area = 1/2(a+b)h

a= 8.2 cm

b= 22.9 cm.

h= 9.8

therefore area = 77.91 sqcm

The area in square centimeters of the trapezoid below​ is 77.91 .

The area of a trapezoid is the half of the product of sum of its parallel sides to the height of that trapezoid (the distance between those parallel sides).

Thus, if we have Length of its parallel sides = 'a' and 'b' units respectively

Perpendicular distance between its parallel sides = 'h' units,

Area = 1/2(a+b)h

a= 8.2 cm

b= 22.9 cm.

h= 9.8

Area = 1/2(8.2 + 22.9)9.8

therefore, area = 77.91 sqcm

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The given inequality is X + 29/x+3<9. We have to solve this inequality, graph the solution and write the answer in interval notation.Steps to solve the inequality:Step 1: Subtract 9 from both sides of the inequality.X + 29/x+3 - 9 < 0Step 2: Bring all the terms to the denominator.X(x+3) + 29 - 9(x+3) / x+3 < 0Simplifying it, (x^2 + 2x - 6x - 3) / (x+3) < 0x^2 - 4x - 3 / x+3 < 0Step 3: Find the critical values. They are the values of x which make the denominator zero. Here, the critical value is x = -3.Step 4: Find the sign of f(x) for values of x less than -3. We will choose x = -4.f(-4) = ((-4)^2 - 4(-4) - 3) / (-4+3) = 7 > 0Therefore, for x < -3, the sign of f(x) is positive (+).Step 5: Find the sign of f(x) for values of x between -3 and 1. We will choose x = 0.f(0) = (0^2 - 4(0) - 3) / (0+3) = -1Step 6: Find the sign of f(x) for values of x greater than 1. We will choose x = 2.f(2) = (2^2 - 4(2) - 3) / (2+3) = -3/5Therefore, for x > -3, the sign of f(x) is negative (-).Step 7: Plot the critical value on the number line. Use an open circle for less than or greater than inequalities and a closed circle for less than or equal to or greater than or equal to inequalities.Step 8: Write the solution in interval notation.(-∞,-3) U (1, 2+√7) U (2-√7, -3+√13) U (-3+√13,∞)The solution of the given inequality is (-∞,-3) U (1, 2+√7) U (2-√7, -3+√13) U (-3+√13,∞).

Answer:

Y = 125

Step-by-step explanation:

Y is directly proportional to X^2

Mathematically,

Y ∝ X²

Y = kX²

Where k = Constant of Proportionality

Step 1

If y = 45 when x = 3

We solve for k

Y = kX²

k = Y/X²

k = 45/3²

k = 45/9

k = 5

Step 2

find y when x = 5

Y = kX²

k = 5, X = 5

Hence,

Y = 5 × 5²

Y = 125

Answer:

y= -3/4x+3

Step-by-step explanation:

The general equation is y=mx+b with m representing the slope, and b representing the y-intercept. So if you are given the slope and y-intercept, you just plug those in for m and b respectively. Hope this helps!

An angle in a rectangular coordinate system is in standard position if its vertex is at the origin of the plane, the initial side of the angle is on the positive x-axis, and the terminal side of the angle is in one of the four quadrants. The angle is measured in a counterclockwise direction from the positive x-axis and is considered positive if it lies in the counterclockwise direction and negative if it lies in the clockwise direction.

The position of an angle is measured from the reference line called the initial side, which is the positive x-axis, and it ends at the terminal side, which is the side where the angle is located. An angle in a rectangular coordinate system is in a standard position if its vertex is at the origin of the plane. An angle is said to be in a standard position if its vertex is located at the origin of the coordinate system.

To summarize, an angle in a rectangular coordinate system is in standard position if its vertex is at the origin of the plane, the initial side of the angle is on the positive x-axis, and the terminal side of the angle is in one of the four quadrants. The position of an angle is measured from the reference line called the initial side, which is the positive x-axis, and it ends at the terminal side, which is the side where the angle is located.

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Answer:

KL is 1.2

JK Equal 2LK

and same thing in the first trangle

GH equal 2IH

Answer:

x = 7

Step-by-step explanation:

Given

y = 5x - 3 ← equate 5x - 3 to 32

5x - 3 = 32 ( add 3 to both sides )

5x = 35 ( divide both sides by 5 )

x = 7 ← input

Answer:

x=7

Step-by-step explanation:

y=5x-3

y = 32

32 = 5x- 3

Add 3 to each side

32+3 = 5x-3+3

35 = 5x

Divide by 5

35/5 = 5x/5

7 =x

Answer:

  A. Oceans have an effect on coastal climate

Step-by-step explanation:

There is no evidence on the map to support any of the offered statements. Using wild speculation, we might conclude ...

  A. Oceans have an effect on coastal climate

__

There is no information on the map to allow us to gauge city size or elevation, eliminating choices C and D.

We note that the city farthest north (Minneapolis) has the greatest difference between high and low temperatures, so we can rule out choice B.

Something has an effect on the climate of San Francisco, which has the least difference between high and low temperatures. We note that it is near the Pacific Ocean, which lends some credence to the speculation that the ocean has an effect. Both Wichita and Minneapolis are farther inland, and both have a less mild climate than Dallas or San Francisco.

There is obvious correlation between distance from the coast and the city's temperature extremes. However, correlation is not evidence of causation. Having ruled out choices B, C, D, we are left with choice A. This map provides no evidence one way or the other for that one.

Answer:

lets say you where multiplying by 2

2+ 2=4 so that would mean 2x2 is 4

and so on and so on

Step-by-step explanation:

ok so an equation like 2x3 is the same as 2+2+2.

To find the point of intersection between the graphs of the functions f(x) = log(x) and g(x) = 2 - log(x - 8), we can set the two functions equal to each other and solve for x.

log(x) = 2 - log(x - 8).To simplify the equation, we can combine the logarithms: log(x) + log(x - 8) = 2. Using logarithmic properties, we can rewrite the equation as: log(x(x - 8)) = 2. Now, we can convert the equation to exponential form: x(x - 8) = 10^2. x^2 - 8x = 100. Rearranging the equation, we have: x^2 - 8x - 100 = 0. Now, we can solve this quadratic equation using factoring, completing the square, or the quadratic formula. After solving, we find that the solutions are x = -2 and x = 10. However, we need to check if these solutions are within the domain of the original functions. For f(x) = log(x), x must be greater than 0. For g(x) = 2 - log(x - 8), x - 8 must be greater than 0, so x > 8.

Therefore, the only valid solution is x = 10. Substituting x = 10 into either of the original functions, we get: f(10) = log(10) = 1. g(10) = 2 - log(10 - 8) = 2 - log(2) = 2 - 0.3010 = 1.699.  So, the point of intersection is (10, 1.699), rounded to three decimal places.

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Answer:

a rhombus that is the answer

The best describes the figure that is represented by the following coordinates A(-4, 3), B (2,3), (3, -1), and D(-5, -1) will be a rhombus.

Its a parallelogram but all sides of the same length.

A rhombus is a parallelogram whose all sides are of equal lengths.

Its diagonals are perpendicular to each other and they cut each other in half( thus, they're perpendicular bisector of each other).

Its vertex angles are bisected by its diagonals.

The triangles on either side of the diagonals are isosceles and congruent.

The best describes the figure that is represented by the following coordinates A(-4, 3), B (2,3), (3, -1), and D(-5, -1) will be a rhombus.

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The expression that completes the blank is A. 11 * w * 3 = 11 * 3 * w

The commutative property is a mathematical concept that states that the order in which we multiply the factors does not affect the product.

According to the above, the example of commutative property is:

This expression is the one with the commutative property because it has the same factors on both sides of the equal in different order and that does not affect the result.

This question is incomplete because you are missing the options, here are the options:

A. 11 * w * 3 = 11 * 3 * w

B. 11 * w * 3 = 11 * w * 3

C. (11 * w) * 3 = 11 * (w * 3)

D. 11 * (w * 3) = (11 * w) + (11 * 3)

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Answer:

\( - 5.5 \times 0.021 = - 0.1155\)

Answer:

-0.1155

Step-by-step explanation:

You just need to calculate it and that's it.

Answer:

$20,800

Step-by-step explanation:

There are 52 weeks in a year, therefore, do 100 x 52 = $5,200

You earn $5,200 a year, for 4 years so do 5,200 x 4 = $20,800

Answer:

$1,263.75

Step-by-step explanation:

8425×0.15=1263.75

Answer: $1263.75

Step-by-step explanation:

$8425 (the amount you earned) multiplied by 0.15 (the tax rate as a decimal) is equal to 1263.75.

So, you would owe $1263.75 in taxes at the end of the year.

The topologies {∅, {x}, {y}, {z}, {x, y, z}} and {∅, {x}, {y}, {z}, {x, y}, {y, z}, {x, z}} satisfy both the Frechet and Hausdorff properties.

To find all possible topologies of the space  = {x, y, z}, we need to consider all the possible subsets of this set. Since the set has three elements, there are 2^3 = 8 possible subsets.
The possible topologies are as follows:
1. {∅, {x, y, z}}: This is the trivial topology, where the whole set and the empty set are the only open sets.
2. {∅, {x}, {y}, {z}, {x, y, z}}: This is the discrete topology, where every subset of the set is open.
3. {∅, {x}, {y}, {z}, {x, y}, {y, z}, {x, z}, {x, y, z}}: This is the indiscrete or trivial topology, where only the whole set and the empty set are open.
4. {∅, {x}, {y}, {z}, {x, y}, {y, z}, {x, z}}: This is a topology that is not discrete or indiscrete.

To determine which of these topologies satisfy the Frechet property and the Hausdorff property, we need to consider the limit points and the ability to separate points, respectively.
The Frechet property states that for every point x in a set A, there exists a sequence of points in A that converges to x. In other words, every point is a limit point.
The Hausdorff property states that for any two distinct points x and y in a set A, there exist disjoint open sets U and V such that x is in U and y is in V. In other words, every pair of distinct points can be separated by open sets.

Let's analyze each topology:
1. {∅, {x, y, z}}: This topology does not satisfy the Frechet or Hausdorff property because it does not have any limit points or allow for the separation of points.
2. {∅, {x}, {y}, {z}, {x, y, z}}: This topology satisfies both the Frechet and Hausdorff properties. Any point x can be approached by the sequence (x), and any two distinct points can be separated by open sets.
3. {∅, {x}, {y}, {z}, {x, y}, {y, z}, {x, z}, {x, y, z}}: This topology does not satisfy the Frechet or Hausdorff property because it does not have any limit points or allow for the separation of points.
4. {∅, {x}, {y}, {z}, {x, y}, {y, z}, {x, z}}: This topology satisfies both the Frechet and Hausdorff properties. Any point x can be approached by the sequence (x), and any two distinct points can be separated by open sets.

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The largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in the plane x + 3y + 4z = 9 has dimensions x = 1.5, y = 1, and z = 2.25, with a maximum volume of 3.375 cubic units.

To find the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in the plane x + 3y + 4z = 9, we can use the method of Lagrange multipliers.

Let the sides of the rectangular box be represented by the variables x, y, and z. We want to maximize the volume V = xyz subject to the constraint x + 3y + 4z = 9.

The Lagrangian function is then given by L = xyz + λ(x + 3y + 4z - 9).

Taking the partial derivatives of L with respect to x, y, z, and λ, and setting them equal to zero, we get:

yz + λ = 0

xz + 3λ = 0

x*y + 4λ = 0

x + 3y + 4z - 9 = 0

Solving these equations simultaneously, we get:

x = 1.5, y = 1, z = 2.25, and λ = -0.5625

Therefore, the maximum volume of the rectangular box is V = 1.512.25 = 3.375 cubic units.

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Answer:

8

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

The factors of 48 are 1,2,3,4,6,8,12,16,24,48;

The factors of 96 are 1,2,3,4,6,8,12,16,24,32,48,96

Answer:

\( \sqrt[6]{ 729} \)

Answer:

Question 1: The larger cup will hold around 6 in more water. Just enter 6.

Question 2: The answer will be the second option " The rectangular prism holds 41.6 in^3 more than the cylinder"

i used the pi sign in my calculation thats why my answer was slightly off but its basically the same so dw.

Step-by-step explanation: 1:    

Question 1: Find the volume of both cups then compare and contrast.

Volume of 1st cup:

Since the cup is made up of 2 cylinders we can find the volume of each and then add them together

Volume of Bottom half of cup: \(V=\pi r^{2} h\)

                                                  \(V=\pi( 2^{2}) (2.25)\)

                                                  \(V=28.27 in^{3}\)

Volume of Top half of cup: \(V=\pi r^{2} h\)

                                             \(V=\pi( 3^{2}) (1.5)\)

                                             \(V=42.41in^{3}\)

 Total volume of cup = 28.27 + 42.41                          

                                    = 70.68 in^3

Volume of 2nd Cup : \(V=\pi r^{2} \frac{h}{3}\)

                                   \(V=\pi (3.5^{2} )(\frac{6}{3} )\)

                                   \(V= 76.97 in^{3}\)

Now we can see that the second cup (the triangular cone) is larger and to see how much larger, we simply subtract the volumes of each cup:

76.97-70.68 = 6.29

The second cup is larger by 6.29in

Question 2: Find the volume of each cup then compare and contrast:

Volume of 1st cup:

Volume of cylindrical cup = \(V=\pi r^{2} h\)

                                               \(V=\pi( 4^{2})( 10)\)

                                               \(V=502.65 in^{3}\)

Volume of 2nd container: \(V=whl\)

                                           \(V=(8)(8.5)(8)\)

                                           \(V=544in^{3}\)

Now subtract: 544 - 502.65 = 41.35

The correct responses for the arithmetic and exponential sequence and function are;

1. First part; 32 pennies

Second part; Approximately 50 days

2. 24.6 gallons

3,738.5 minutes

3. $67.2

Approximately 24 months

4. 1106.14 gallons

66.56 minutes

The difference is 1 is an arithmetic sequence while 3 is an exponential function

An arithmetic sequence is a group of numbers in which the difference between subsequent terms is a constant

1. The given parameters are;

The initial amount Savannah placed in the piggy bank = 5 pennies

The amount given to Savannah each day = 3 pennies

Required;

First part;

The amount Savannah will have after 10 days

Solution;

The mathematical model for the situation is an arithmetic sequence or progression

The equation for an arithmetic progression is;

\(a_n = a_1 + (n - 1) \times d\)

Where;

\(a_n\) = The amount after n days

\(a_1 \) = The first amount Savannah placed in the piggy bank = 5 pennies

n = The number of days

d = The common difference between the amount present in consecutive days = 3 pennies

The amount after 10 days is therefore;

\(a_{10} = 5 + (10 - 1) \times 3=32\)

The money after 10 days is 32 pennies

Second part;

The number of days it would take for there to be $1.50 in the piggy bank.

Solution;

100 pennies = $1.00

Therefore;

$1.50 = 150 pennies

Which gives;

150 = 5 + (n - 1) × 3

(n - 1) × 3 = 150 - 5 = 145

(n - 1) × 3 = 145

n - 1 = 145 ÷ 3

n = 145 ÷ 3 + 1 ≈ 49.3 ≈ 50

It will take approximately 50 days for the amount in the piggy bank to be $1.50

2. The volume of the pool = 1,500 gallons

The initial amount of water in the pool = 5 gallons

The rate at which water enters the pool = 2 gallons in 5 minutes

Required;

First part

The volume of water in the pool after 50 minutes

Solution;

2 gallons in 5 minutes = (2/5) gallons/minute = 0.4 gallons/minute

Therefore;

\(a_{50} = 5 + (50 - 1) \times 0.4 =24.6\)

After 50 minutes, 24.6 gallons will be in the pool

Second part;

The time it will take to fill the pool is given by the equation;

\(1500 = 5 + (n - 1) \times 0.4\)

number

Which gives;

n = 3738.5

It will take 3,738.5 minutes to fill the pool

3. The formula for finding the amount in the account is the compound interest formula;

\(\displaystyle{A = P\cdot (1 + r)^n }\)

Where;

A = The amount in the account after n months

P = The initial amount in the account = $50.0

r = The interest rate = 3.0%

n = The number of periods (months)

After 10 months, we have;

\(\displaystyle{A = 50 \times (1 + 0.03)^{10} \approx 67.2 }\)

The amount in the account after 10 months is therefore, approximately $67.2

Second part;

Double the initial amount is 2×$50 = $100

Which gives;

\(100 = \displaystyle{50 \times (1 + 0.03)^{n} \approx 67.2 } \)

Which gives;

n ≈ 23.45

Therefore it will take approximately 23.45 months or approximately 24 months for the amount to double

4. Using the exponential function formula, we have;

Number of 5 minutes in 50 minutes = 10

\( \displaystyle{1500 \times (1 - 0.03)^{10} \approx 1106.14} \)

The water remaining after 50 minutes is approximately 1106.14 gallons

The time it takes for there to be less than 1,000 gallons in the pool is given as follows;

\( \displaystyle{ 1000= 1500 \times (1 - 0.03)^{n}} \)

Which gives;

n = 13.3

Therefore;

The water in the pool will be less than 1000 gallons after 13.3, 5 minute periods or 13.3 × 5 minutes≈ 66.56 minutes

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Answer:

2

Step-by-step explanation:

Answer:

$36

Step-by-step explanation:

.45 × 80 = 36

or

45/100 × 80 = 36

Answer:

$ 36

Step-by-step explanation:

hope it helps !

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