Find the total cost to the nearest cent.

$ 22 haircut

tip: 20 %

The cost of order number four would be $12.60.

What does US sales tax mean?

Sales taxes are levied on the purchase or leasing of products and services inside the United States. There is no federal general sales tax, and sales tax regulation is handled at the state level. Think about this sales tax illustration.

                                  You want to know how much your purchase will cost after taxes before you check out at The Clothes Boutique. Your cart contains goods with a combined price of $100 after totaling up all the charges. You would calculate 9.5% of $100 since the sales tax in that county is 9.5%. (100 x 0.095).

The cost of order number four would be $12.60.

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The dot product associated to sides AB and BC is 0.

In this question we must find the dot product of two vectors associated with two surrounding sides of a triangle. First, we need to find the vectors associated to sides AB and BC:

Side BA

BA = (5, 3) - (0, 0)

BA = (5, 3)

Side BC

BC = (- 3, 5) - (0, 0)

BC = (- 3, 5)

By definition of dot product, the result associated to the two sides of the triangle is:

BA • BC = (5, 3) • (- 3, 5)

BA • BC = (5) · (- 3) + (3) · (5)

BA • BC = - 15 + 15

BA • BC = 0

The dot product associated to sides AB and BC is 0.

The statement is poorly formatted, the correct form is shown below:

If A(x, y) = (5, 3), B(x, y) = (0, 0) and C(x, y) = (- 3, 5) are the vertices of a triangle then the value of the dot product between vectors AB and BC is:

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The total number of samples in the sample space is 15,504.

The total number of samples in the sample space can be calculated by using the formula for combinations, which is the number of ways to select r items from n distinct objects. The formula is written as nCr and is calculated as n!/(r!(n-r)!). In this case, n is equal to 60, and r is equal to 4.

To calculate the total number of samples in the sample space, we will first calculate n!, which is 60! = 60*59*58*57*...*2*1. Then, we will calculate r! which is 4!, which is 4*3*2*1. Finally, we will calculate (n-r)!, which is (60-4)!, which is \(56! = 56*55*54*53*...*2*1.\)

Using the formula, the total number of samples in the sample space is calculated as 60!/(4!(60-4)!) = 60!/(4!*56!) = 15,504. Therefore, the total number of samples in the sample space is 15,504.

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Step-by-step explanation:

The square root of 0.0144 is 0.12.

To find the square root of 0.0144, we can use a calculator or estimate it manually. One way to estimate the square root of 0.0144 is to recognize that it is very close to 0.01, which has a square root of 0.1. Since 0.0144 is slightly larger than 0.01, we can expect its square root to be slightly larger than 0.1.

To get a more precise answer, we can use a calculator or long division. Here's one way to do it:

- Write 0.0144 as a fraction: 0.0144 = 144/10000

- Take the square root of the numerator and denominator separately: sqrt(144)/sqrt(10000)

- Simplify the square roots: 12/100

- Reduce the fraction: 3/25

Therefore, the square root of 0.0144 is 0.12 or 3/25.

The factorial of a number n is the product of all positive integers up to and including n

The factorial function is typically represented using the "!" symbol, such that n! represents the product of all positive integers up to and including n. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.

To represent the factorial function using product notation, we can write:

n! = ∏_{i=1}^n i

This means that we take the product of all positive integers from 1 to n, which is equivalent to computing n!. For example, using this notation, we can write:

5! = ∏_{i=1}^5 i = 1 x 2 x 3 x 4 x 5 = 120

Note that the product starts at i=1 and goes up to n, which includes all the positive integers we want to multiply together.

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Answer:

246

Step-by-step explanation:

271-25=246

Answer:

9.4

Step-by-step explanation:

1+3+15+11+17=47

47/5=9.4

Answer:

i need answers

Step-by-step explanation:

we know that

The distance between ywo points is giving by the formula

in this problem we need to calculate the distance between B and C

so

looking at the graph

B(-35,-20)=(x1,y1)

C(-20,5)=(x2,y2)

substitute in the formula

To prove that triangle FGE and triangle IJH we need information like the two sides of each triangle and the included angle to be congruent.

To prove two triangles are similar by the SAS is that you need to show that two sides of one triangle are proportional to two corresponding sides of another triangles, with the included corresponding angles being congruent.

For the SAS postulate you need two sides and the included angle in both triangles.

Side-Angle-Side (SAS) postulate:-

If two sides and the included angles of one triangle are congruent to two sides and the included angle of a second triangle, then the two triangles are congruent. SAS postulate relate two triangles and says that two triangles are congruent if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle.

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Answer:

-4

Step-by-step explanation:

(x1,y1)=(-10, -8)

(x2,y2)=(-8, -16)

Slope=(y2-y1)/(x2-x1)=(-16+8)/(-8+10)=-8/2=-4

or,

If you take (x1,y1)=(-8, -16), (x2,y2)=(-10, -8)

Slope=(y2-y1)/(x2-x1)=(-8+16)/(-10+8)=8/-2=-4

In this scenario, we have a budget constraint and an indifference curve representing preferences. By analyzing the given information, we can determine the optimal bundle of goods and how it changes with a decrease in income.

a. The budget constraint can be represented graphically. The X-intercept is found by setting Y = 0, giving us X = I/Px = 100/2 = 50. The Y-intercept is found by setting X = 0, giving us Y = I/Py = 100/4 = 25. The slope of the budget constraint is determined by the ratio of the prices, giving us -Px/Py = -2/4 = -1/2. Thus, the budget constraint line can be drawn connecting the X and Y intercepts with a slope of -1/2.

b. The optimal bundle of X and Y can be found by maximizing utility subject to the budget constraint. Given the marginal rate of substitution (MRS) of Y/(2X), we set the MRS equal to the slope of the budget constraint, -Px/Py = -1/2. Solving for X and Y, we can find the optimal bundle.

c. Labeling the optimal bundle found in part b as "A," we can draw an indifference curve passing through this point on the graph. The indifference curve represents the combinations of X and Y that provide the same level of utility.

d. If the income decreases to $80, the new budget constraint can be drawn with the same slope but a lower intercept. We can find the new optimal bundle, labeled "B," by maximizing utility subject to the new budget constraint. Similarly, we can draw another indifference curve passing through point B to represent the new optimal bundle.

If X is a normal good and Y is an inferior good, a decrease in income will generally lead to a decrease in the optimal amount of Y and an increase in the optimal amount of X. This is because as income decreases, the demand for inferior goods like Y tends to decrease, while the demand for normal goods like X remains relatively stable or may even increase. The specific changes in the optimal amounts of X and Y would depend on the specific preferences and income elasticity of the goods.

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Answer:

i'm not sure if this all correct

Step-by-step explanation:

part A you start at 8 from the first participant then you take away one from the last one. you add up all the numbers up to get the answer. 8+7+6+5+4+3+2+1=36.

part B the first part is 1x1x1x1x1x1x1x1=1. the second part is 8x7x6x5x4x3x2x1= 40,320. the third part is 1/40320

Answer:

A and C luv <3

Step-by-step explanation:

Perimeter and area of semicircle are 2π cm and 2π square cm.

And perimeter and area of square are 16 cm and 16 square cm.

The square is a 4 sided figure, each side of the square is equal and make a right angle.

The area of square having sided a unit can be given by a² square unit.

In the given figure, semicircle and squares are shown.

The side of square a = 4 cm.

And radius of circle r = 4 / 2 = 2 cm

The perimeter of square = 4a = 4 x 4 = 16.

Perimeter of semicircle = π x r = 2π.

Area of square = 4² = 16.

And area of semicircle = 1/2 x π x r² = 1/2 x π x 2² = 2π.

The total perimeter of image = perimeter of 6 semicircles + perimeter of side of square.

= 6 x 2π + 2 x 4

= 12 π + 8

The area of complete image = 3 x area of square = 3 x 16 = 48 square cm.

The total perimeter of figure is 12 π + 8 cm.

And total area of figure = 48 square cm.

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Answer:

Yes, Jean is correct

Step-by-step explanation:

Given

\(73 * \frac{3}{4}\)

Required

Determine the value of the result

When a positive integer is multiplied by a fraction, the result is always less than the integer

Solving further

\(Expression = 73 * \frac{3}{4}\)

\(Expression = \frac{73 * 3}{4}\)

\(Expression = \frac{219}{4}\)

\(Expression = 54.75\)

The result of the expression shows that the resulting value is less than 73.

Hence, Jean is correct

Answer:

v=20π ft/s

Step-by-step explanation:

Given:

Distance from the security car to the movie theater, D=25 ft

Distance of the reflection from the car, d=30 ft

Speed of rotation of the strobe lights, 2 rev/s

To find the speed at which the reflection of the security strobe lights is moving along the wall of the movie theater, we need to calculate the linear velocity of the reflection when it is 30 ft from the car.

We can start by finding the angular velocity in radians per second. Since the strobe lights rotate at 2 revolutions per second, we can convert this to radians per second.

ω=2πf

=> ω=2π(2)

=> ω=4π rad/s

The distance between the security car and the reflection on the wall of the theater is...

r=30-25= 5 ft

The speed of reflection is given as (this is the linear velocity)...

v=ωr

Plug our know values into the equation.

v=ωr

=> v=(4π)(5)

∴ v=20π ft/s

Thus, the problem is solved.

The speed of the reflection of the security strobe lights along the wall of the movie theater is 2π ft/s.

To solve this problem, we can use the concept of related rates. Let's consider the following variables:

x: Distance between the security car and the movie theater wall

y: Distance between the reflection of the security strobe lights and the security car

θ: Angle between the line connecting the security car and the movie theater wall and the line connecting the security car and the reflection of the strobe lights

We are given:

x = 25 ft (constant)

y = 30 ft (changing)

θ = 2 revolutions per second (constant)

We need to find the speed at which the reflection of the security strobe lights is moving along the wall (dy/dt) when the reflection is 30 ft from the car.

Since we have a right triangle formed by the security car, the movie theater wall, and the reflection of the strobe lights, we can use the Pythagorean theorem:

x^2 + y^2 = z^2

Differentiating both sides of the equation with respect to time (t), we get:

2x(dx/dt) + 2y(dy/dt) = 2z(dz/dt)

Since x is constant, dx/dt = 0. Also, dz/dt is the rate at which the angle θ is changing, which is given as 2 revolutions per second.

Plugging in the known values, we have:

2(25)(0) + 2(30)(dy/dt) = 2(30)(2π)

Simplifying the equation, we find:

60(dy/dt) = 120π

Dividing both sides by 60, we get:

dy/dt = 2π ft/s

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Answer:

4000

Step-by-step explanation:

Answer:

Search on mathaway

Step-by-step explanation:

Answer:

6/15 divided by 6

Step-by-step explanation:

\(\frac{2}{5} / 6\\= \frac{6}{15} / 6\\\)

Answer:

x₁(2x₁x₂² - x₂ - 3) - 3x₂

Step-by-step explanation:

The expression you provided is a polynomial in two variables, x₁ and x₂. Let's simplify it step by step:

2x₁²x₂² - x₁x₂ - 3x₁ - 3x₂

To simplify, we can look for common terms that can be factored out:

x₁(2x₁x₂² - x₂ - 3) - 3x₂

Now let's simplify the expression inside the parentheses:

2x₁x₂² - x₂ - 3

Answer:

What is your question? how many meters in 1 second?

Well is that was your question, it would be 11.3 meters rounded.

But if your question was how many meters in 1 minute, the answer would be 678 meters because 11.3 meters in one second times 60 seconds is 678

Step-by-step explanation:

Hope this helps, can you please mark me brainliest? I just need 4 more brainliest to become expert

The equation for the flowing rate of aamir will be as y = -12x  +360.

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

The slope-intercept form of the equation of a line, which is:

y   =  mx  +  c

So we just need to find to solve this problem.

This problem tells us that Amir drove from Jerusalem down to the lowest place on Earth, the Dead Sea, descending at a rate of 12 meters per minute. So this rate is the slope of the line, that is;

Negative slope because Amir is descending.

So,

y   =  -   12x  +  b

Now, we need to use the information that tells us that he was at sea level after 30 minutes of driving, so this can be written as the point.

Therefore, substituting this point into our equation;

y  =  -12x  +  b

0  =   -12(30)   +  b

b   =   360

Finally, The equation for the flowing rate of aamir will be as y = -12x  +360.

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Answer:

7/3

Step-by-step explanation:

because 3/7 is less then two

The correct option is B. 7/3

Given that 3 feet equal 1 yard, to find out how many yards equal 7 feet,

To convert a length in feet into yards, we need to use the conversion factor that states 1 yard is equal to 3 feet.  If a length of "a" feet, you can convert it into yards by dividing "a" by 3.

For example, convert 12 feet it into yards.

Using the conversion factor, set up the proportion:

3 feet / 1 yard = 12 feet / s yards

To find the value of "s," by cross-multiplication

3 feet x s yards = 12 feet x 1 yard

3s = 12

Dividing both sides of the equation by 3:

s = 12/3

s = 4

Thus, 12 feet is equal to 4 yards.

Set up a proportion using the ratio of feet to yards.

Let "x" represent the unknown number of yards that is equivalent to 7 feet. The proportion can be written as:

3 feet / 1 yard = 7 feet / x yards

To solve for "x," by cross-multiplication,

3 feet x x yards = 7 feet x 1 yard

3x = 7

Dividing both sides of the equation by 3:

x = 7/3

So, 7 feet is equal to 7/3 yards, which can also be expressed as 2 and 1/3 yards or approximately 2.33 yards.

Therefore, 7 feet is equivalent to 7/3 yards.

Hence, the correct option is B. 7/3

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The accrued amount of an investment is equal to the sum of the principal amount and the interest earned:

Write the expression in terms of the interest:

To calculate the interest, the first step is to determine the accrued amount after 5 years.

The savings account compounds annually, to determine the accrued amount you have to apply the following formula:

Where

A is the accrued amount

P is the principal amount

r is the interest rate expressed as a decimal value

t is the time in years

n is the number of compounding periods

The principal amount is P= $800

The interest rate of the account is 14%, to express it as a decimal value, divide it by 100

The time period for the investment is 5 years.

The account compounds annually, which means that there is only one compounding period per year, so, n=1.

Calculate the accrued amount:

After 5 years the accrued amount will be A= $1540.33

Finally, calculate the interest:

After 5 years she will have $740.33 of interest.

(x+1) & (x-5) are the factors of given equation.

The given Equation is,

x3- \(3x^{3}\) - 9

Here, If we substitute x =5, in the given equation, then we find

     (5)3 - 3(5)3 - 9*5 -5 = 0

x-5 is factor of given equation to find another factor dividing given equation by x-5

    we will get =(x2+2x+1) after dividing the equation by x - 5

Hence x3- \(3x^{3}\) - 9 =(x2+2x+1) (x-5)

                            =(x+2)2 (x-5)

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Answer: 8 runners

Step-by-step explanation:

If you mean that " if each person runs one more mile than the previous runner" then:

First person = 1

Second person = 1+1

.....

(1)+(1+1)+(1+1+1)+(1+1+1+1)+(1+1+1+1+1)+(1+1+1+1+1+1)+(1+1+1+1+1+1+1)+(1+1+1)

1  +   2 +    3    +     4      +       5       +         6        +            7         +    3  =31

(the last runner runs less miles then needed)

Answer:

Step-by-step explanation:

1).

(a). Yes, the graph is linear.

(b). Rate of change is a slope m, m = (60 - 80) / (10 - 0) = - 2

2). Graph is not proportional, because y-intercept is (0, 80) and not (0, 0)

The probability that there are more than 5 left-handed students in a class of 30 students is 0.1049

The given parameters are:

Sample size, n = 30

Probability of success, p = 0.11

x > 5

To determine the required probability, we make use of the following complement rule:

P(x > 5) = 1 - P(x ≤ 5)

Using a binomial calculator, we have:

P(x ≤ 5) = 0.89508640002

Substitute P(x ≤ 5) = 0.89508640002 in P(x > 5) = 1 - P(x ≤ 5)

P(x > 5) = 1 - 0.89508640002

Evaluate the difference

P(x > 5) = 0.10491359998

Approximate

P(x > 5) = 0.1049

Hence, the probability that there are more than 5 left-handed students in a class of 30 students is 0.1049

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The maximum and minimum values of the function f(x, y) = 3x + 2y subject to the constraint 2x^2 + 3y^2 = 8 occur at specific points (x, y) in the given domain.

To find these extrema, we can use the method of Lagrange multipliers. Firstly, we define the Lagrangian function L(x, y, λ) = f(x, y) - λ(g(x, y)), where g(x, y) represents the constraint equation and λ is the Lagrange multiplier.

Taking partial derivatives with respect to x, y, and λ, we obtain the following equations:

∂L/∂x = 3 - 4λx = 0

∂L/∂y = 2 - 6λy = 0

g(x, y) = 2x^2 + 3y^2 - 8 = 0

Solving these equations simultaneously, we can find the critical points (x, y) that satisfy the given constraint. By evaluating the function f(x, y) at these critical points, we can determine the maximum and minimum values.

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