A student is buying a shirt that has a regular price of $18. After using a coupon, the price of the shirt is 0. 75x, where x is the regular price of the shirt. The clerk includes 6% sales tax on the price of the shirt. How much change should the student receive if the student pays for the shirt using a $20 bill?

The area of the cheese in square centimeters as calculated from the given data is 48 cm^2.

The inches must be converted to square cm.

We multiply 3.5 2.54 to get 8.89. This can be rounded up to 8.90.

We also multiply 4.25 2.54 to get 10.79500. This can be rounded up to 10.80.

The formula for calculating the area of a triangle is area = hb/2.

We enter the figures into the formula: 8.90 * 10.80 / 2

8.90 × 10.80 = 96.12\s96.12 / 2 = 48.06

48 cm^2 is obtained by rounding 48.06 to the closest cm  square .

A triangle is a three-sided polygon with three vertices. The angle produced within the triangle is 180 degrees. It signifies that the total of a triangle's internal angles equals 180°.

It is the polygon with the fewest sides. In other words, a triangle is a three-sided two-dimensional shape with inner angles of 180°.

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The area of the given triangle is 87.55 square centimeter.

From the given triangle, base=17 cm and height=10.3 cm.

The basic formula for the area of a triangle is equal to half the product of its base and height, i.e., A = 1/2 × b × h.

Here, area of a triangle = 1/2 ×17×10.3

= 87.55 square centimeter

Therefore, area of the given triangle is 87.55 square centimeter.

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they both small and Rocky

Answer: they are both small and rocky.

Step-by-step explanation:

Answer:

Well, the first thing you must do is find the slope

(0,2) (1,-3) I am going to make x1= 0, y1=2, x2=1 and y2= -3

Now, I am going to use the formula for the slope, which is

y2-y1/(x2-x1)

[-3-2]/(1-0)= -5/1 or just -1

Next, I am going to use the point slope form, which is

y-y1=m(x-x1). m=5, x1=0, y1=2

y-2= -5(x-0)

y-2=-5x

+2 +2

y= -5x+2 This is the slope intercept form.

we are done. I am glad to see that you are doing math on a Saturday night.. Good luck... Please rate my answer:)

Answer:

\(y= 2x - 3\)

Step-by-step explanation:

Find the slope of The two points: Slope: 2

Now, make a equation to find the y- intercept:

( Replace the y and x with one of the points you have...)

\(1=2 x 2 + b\)

\(-3 = b\)

The probability that the proportion of flops in a sample of 506 released films would differ from the population proportion by greater than 3% is approximately 0.0192 or 1.92% (rounded to four decimal places).

Given:

Population proportion of flops: p = 9% = 0.09

Sample size: n = 506

First, let's calculate the standard deviation (σ) of the sampling distribution, which represents the standard error of the proportion:

σ = √[(p * (1 - p)) / n]

  = √[(0.09 * (1 - 0.09)) / 506]

  ≈ √[(0.0819) / 506]

  ≈ √[0.000161955]

  ≈ 0.012736

Next, we need to find the z-score associated with a difference of 3% from the population proportion:

z = (0.03 - 0) / σ

  = 0.03 / 0.012736

  ≈ 2.3542

Using a standard normal distribution table or calculator, we can find the probability associated with the z-score of 2.3542. However, since we are interested in the probability that the proportion differs from the population proportion by greater than 3%, we need to consider both tails of the distribution.

The probability of a difference greater than 3% is equal to the probability of a z-score less than -2.3542 or greater than 2.3542.

P(z < -2.3542) + P(z > 2.3542)

Looking up the values in the standard normal distribution table or using a calculator, we find:

P(z < -2.3542) ≈ 0.0096

P(z > 2.3542) ≈ 0.0096

Adding these probabilities:

0.0096 + 0.0096 ≈ 0.0192

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Answer:

top left

Step-by-step explanation:

Answer:

10bags

Step-by-step explanation:

Answer:

10 bags.

Step-by-step explanation:

I got it right on my quiz- Edge2020

An iterative procedure is used to find the root of a nonlinear equation.

The absolute relative approximate error is found to be 0.004%. The number of significant digits that are correct can be calculated as follows: Suppose that r is the actual root, and x is the approximation that has been obtained. Then, the absolute error is :abs(r-x)And, the relative error is: abs(r-x)/r Hence, the absolute relative approximate error (arae) can be written as follows:|r - x|/|r| = 0.004%, which implies |r - x| = 0.004% |r| Divide both sides by

|r|:|r - x|/|r| = 0.00004|r|/|r| - |x|/|r| = 0.00004,

Divide both sides by 0.00004:|x|/|r| - 1 = 0.00004,

This can be rewritten as:|x| = |r| (1 + 0.00004),

Thus, the number of significant digits that are at least correct can be calculated using the following formula:

log10 (|x|/|r|) = log10 (1.00004) ≈ 0.00004

There is at least one significant figure in the answer.

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Approximately 675 apples were rotten out of the 3560 apples picked at the Newbury Apple Orchard, as calculated in the expression below.

Given that 45 out of every 300 apples picked at the orchard are rotten, we can calculate the proportion of rotten apples. The ratio of rotten apples to total apples is 45/300, which simplifies to 3/20. To find out how many apples were rotten out of the 3560 apples picked, we can multiply the total number of apples by the ratio of rotten apples, resulting in (3/20) * 3560.

Simplifying this expression, we find that approximately 675 apples were rotten. Therefore, based on the given information, we can conclude that about 675 apples out of the 3560 picked were rotten at the Newbury Apple Orchard.

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Option A, which is 4 x 15 + 1 - 5 x 4 x 1, is the correct expression that is equal to 45 x 4 + 5.

To show this, we can simplify the expression as follows:

4 x 51 + 1 - 5 x 4 x 1

= 204 + 1 - 20

= 205 - 20

= 184

Then, we can check if 185 is equal to 45 x 4 + 5:

45 x 4 + 5

= 180 + 5

= 185

Since 185 is equal to 185, it is concluded that an expression that is "equal to" 45 x 4 + 5, is held by option A.

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Answer:

\(\huge\boxed{IJ \approx 2.01}\)

Step-by-step explanation:

In order to find the side mentioned (IJ), we need to use SOH CAH TOA.

SOH CAH TOA is an acronym to help us remember what sin, cos, and tan mean. It stands for:

Sin = Opposite / Hypotenuse

Cosine = Adjacent / Hypotenuse

Tan = Opposite / Adjacent

Since we know the measure of angle K (42) and we know one of the sides, we can use this to find the missing length.

Since the side given to us is the hypotenuse, and we're looking for the side opposite of the angle (IJ), the only possible one to use would be SIN as it includes Opposite and Hypotenuse.

Our equation is now this: \(\text{sin(42)} = \frac{x}{3}\)

Let's now solve for x.

Therefore, the length of IJ will be around 2.01.

Hope this helped!

The given vector field f(x,y) = 39x^2y^2i + 26x^3yj is conservative.

The vector field f(x,y) is given by:
f(x,y) = 39x^2y^2i + 26x^3yj

To check if the vector field is conservative, we need to verify if the curl of the vector field is zero. The curl of a 2D vector field is defined as:

Curl(f) = (∂(26x^3y) / ∂x) - (∂(39x^2y^2) / ∂y)

Calculate the partial derivative with respect to x for the second component (j):

∂(26x^3y) / ∂x = 78x^2y

Calculate the partial derivative with respect to y for the first component (i):

∂(39x^2y^2) / ∂y = 78x^2y

Subtract the second derivative from the first derivative:

Curl(f) = 78x^2y - 78x^2y = 0

Since the curl of the vector field f(x,y) is 0, the vector field is conservative.

The correct question should be :

Determine whether or not the vector field given below is conservative.

f(x,y) = 39x^2y^2i + 26x^3yj

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As a result, the expression's value in fraction with simplest form is -4/3

Prior to evaluating the expression, the exponents must first be simplified in fraction.

Remember that a negative exponent indicates to take the base raised to the positive exponent's reciprocal.

The numerator and denominator of a fraction are both integers, and this is how fractions are typically expressed. When a fraction is preceded by a negative sign, it is being multiplied by -1. For instance, $-frac4$ signifies "-1 times 4 over 1," which can be written as "-4."

When these values are put into the original equation, we get the following results:

\(-3^(-3)/6^(-2) = (-1/27)/(1/36) = -1/27 * 36 = -4/3\)

As a result, the expression's value is -4/3

In conclusion, we can conduct the necessary procedures to evaluate an equation involving powers of numbers after simplifying the exponents. For the best outcome, it's crucial to follow the PEMDAS order of procedures.

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The Santa Clause 2 made approximately 2.34% more than Dr. Seuss' The Grinch (2018).

The Santa Clause 2 made approximately $218,500,000, while Dr. Seuss' The Grinch (2018) made approximately $213,500,000. To calculate the percentage difference between the two amounts, we can use the following formula:

Percentage Difference = [(New Value - Old Value) / Old Value] * 100

Let's calculate the percentage difference:

Percentage Difference = [(218,500,000 - 213,500,000) / 213,500,000] * 100

Percentage Difference = (5,000,000 / 213,500,000) * 100

Percentage Difference ≈ 2.34%

Therefore, The Santa Clause 2 made approximately 2.34% more than Dr. Seuss' The Grinch (2018).

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The VAT for the year is Birr 75,600.

The pharmacy makes 42,000 Birr in monthly sales, as stated in the problem.

We must divide the monthly sales by the number of months in a year in order to determine the overall annual sales:

Total annual sales are calculated as follows: Birr 42,000 multiplied by 12 months to equal Birr 504,000.

Now that we have the VAT rate that is in effect in the area where the pharmacy is located, we can calculate the VAT (Value Added Tax). The VAT is often calculated as a share of sales.

Assuming a 15% VAT rate, the VAT can be calculated as follows:

VAT = 15% of total annual sales, which equals 0.15 times Birr 504,000 ($75,600).

Therefore, the VAT for the entire year is 75,600 Birr.

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For the linera regression equation with dependent variable is monthly expenses for medical care while his independent variable is number of family members. See the above Excel output.

a) The prediction equation is y = 110.47 + 16.83x.

b) Based on his model, each additional family member increases the predicted costs by 16.83 times.

Linear regression equation is used to predict the dependent variable value based on the value of one or more independent variables. We have y, the dependent variable as monthly expenses for medical care and x, the independent variable as number of family members. From the Excel output are present in above figure and we need to find the predicted regression equation. The prediction linear regression equation is written as

a) From the above data the prediction equation is y = 110.47 + 16.83x --(1)

where, y --> monthly expenses

x --> number of family members

b) Based on this model, with an unit increase in family member, the predicted cost increases by 16.83 times. Hence, the required value is 16.83.

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Complete question:

Bob White is conducting research on monthly expenses for medical care, including over-the-counter medicine. His dependent variable is monthly expenses for medical care while his independent variable is number of family members. above is his Excel output.

a) What is the prediction equation?

(b) Based on his model, each additional family member increases the predicted costs by how much?

Answer:

They will flash together at 36 seconds after 8:00 p.M which can be written as 8:00:36 PM.

Step-by-step explanation:

This question can be solved using concept of LCM

LCM is the least number which is divisible by all the set of given number.

LCM is found by finding the prime factors of given set of numbers and then taking the each numbers highest power and then multiplying all.

for example

lets find LCM of 20 and 75

prime factor of 20 = 2*2*5

prime factor of 75 = 3*5*5

highest power of 2 is 2*2 = 4

highest power of 3 is 3 = 3

highest power of 5 is 5*5 = 25

thus LCM is 4*3*25 = 300

Thus, 300 is the least number which will be commonly divisible by 20 and 75.

Now in the problem given One light flashes every 18 seconds and another light flashes every 12 seconds.

Thus, they will will flast together at time when the time will be commonly divisible by both 12 and 18.

to find that time, lets find the LCM of 12 and 18

The number is 12 , 18

prime factor of 12 = 2*2*3

prime factor of 18 = 2*3*3

highest power of 2 is 2*2 = 4

highest power of 3 is 3*3 = 9

thus LCM is 9*4 = 36

Thus, the lights will flash together after 36 seconds.

Given that they flash together at 8:00 p.M

They will flash together at 36 seconds after 8:00 p.M which can be written as 8:00:36 PM.

The initial solution has a concentration of 0.50 moles of lithium acetate per liter of solution (M).

To dilute 250 ml of this solution to a final volume of 750 ml, we need to multiply the initial concentration by the ratio of the final volume to the initial volume:
C1V1 = C2V2
0.50 M x 0.250 L = C2 x 0.750 L
C2 = (0.50 M x 0.250 L) / 0.750 L
C2 = 0.17 M
Therefore, the final concentration of the diluted solution is 0.17 M.
After diluting 250 mL of a 0.50 M lithium acetate solution to a volume of 750 mL, the concentration of the solution can be calculated using the dilution formula: M1V1 = M2V2. Here, M1 is the initial concentration (0.50 M), V1 is the initial volume (250 mL), M2 is the final concentration, and V2 is the final volume (750 mL). By solving for M2, you'll find that the concentration of the diluted solution is approximately 0.17 M.

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Answer:

  C.  When it was purchased (year 0), the coin was worth $6.

Step-by-step explanation:

The y-intercept is 6, indicating the value of the rare coin was 6 in year zero.

The assertion of presentation confirms that the components of the financial statements are shown appropriately.

The management is also responsible for ensuring that the statement is adequately classified, described, and disclosed. Valuation: Valuation assertion affirms that the amounts of assets, liabilities, and equity have been appropriately recorded and stated at the correct amount. Buildings have been valued at $35,000,000 while the non-current liabilities amounted to $49,500,000. The auditor should evaluate if the valuation is accurate and if any impairment has been recognized.

The auditor must ensure that the investment in question exists and that the company owns it. The investment must be in the name of Wyndham Limited and not under another person or company. Ownership and valuation: The auditor should verify that the company has control over the investment and that it's valued correctly. If the investment is accounted for using fair value, the auditor must ensure that the method used is appropriate and consistent with the company's accounting policy. The auditor should also verify that the company's control over the investment justifies the accounting treatment used. The valuation of the investment should be at the correct amount and the disclosures must comply with the relevant accounting standard or IFRS.

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Answer: $57.53

Step-by-step explanation:

Answer:

1:(1/6) where n = 1/6

Answer:

f-96=124

Step-by-step explanation:

This is the equation of the sentence that has been mentioned.

Answer:

Step-by-step explanation:

Problem 1

Set Up the Proportion

3 cm / 8 km = x / 20 km                Cross multiply

3*20 = 8x                                        Combine the left

60 = 8x                                           Divide by 8

60/8 = x

7 4/8  = x

7 1/2 km = x

7.5 km  = x

Problem 2

3 cm / 8km = 12 cm / x                  Cross multiply

3x = 12 * 8                                      Combine the right

3x = 96                                          Divide by 3

3x/3 = 96/3

x = 32 km

The measure of ∠ LMN in kite KLMN be 49°.

In geometry, a polygon's angle is made up of two of its sides that have a common terminal. If a point within the angle is inside the polygon's interior, the angle is referred to as an interior angle for a simple polygon, whether it is convex or not.

Interior angles are those that are located inside a shape, or they can also be described as the angles that are located in the region enclosed by two parallel lines and a transversal.

The total of a triangle's three interior angles will always be 180 degrees. A triangle cannot have a single angle with a measure of 180° since the other two angles (180° + 0° + 0°) would not be present.

If the measure

LM = MN

LK = KN

∠ MNK = ∠ MLK

we have

∠ MNK = 106°

∠ LKN = 99°

∠ MLK = 106°

The sum of the internal angles in the kite exists equivalent to

∠ MNK + ∠ LKN + ∠ MLK + ∠ LMN = 360°

substitute values and solve for ∠ LMN

∠ LMN = 360° - 106° - 106° - 99°

∠ LMN = 49°

Therefore, the measure of ∠ LMN in kite KLMN be 49°.

The complete question is:

What is the measure of ∠LMN in kite KLMN?

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To model the relationship between the elapsed time, ttt, in years, since Alina began studying the population, and the total number of bears, n(t)n(t)n, left parenthesis, t, right parenthesis, we can use the following function:

n(t) = kt + b

where kk is a constant that represents the initial rate of population growth, and bb is a constant that represents the current population size.

To determine the values of kk and bb, we can use the following information:

Substituting these values into the function, we get:

n(t) = 10(t + 10) + 100,000

n(t) = 100,000 + 100t

n(t) = 100,000 + 10t

Therefore, the relationship between the elapsed time, ttt, in years, and the total number of bears, n(t)n(t)n, left parenthesis, t, right parenthesis, can be modeled by the following function:

n(t) = 100,000 + 10t

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Answer:

x = 2

Step-by-step explanation:

Here, we want to find the value of x

(m^5/6)(m^1/6)^7 = m^x

= (m^5/6)(m^7/6) = m^x

Using the law of indices for power multiplication

m^(5/6 + 7/6) = m^x

m^(12/6) = m^x

m^2 = m^x

we simply equate the powers in this case since the base are equal

Thus we have

x = 2

Solution,

2x-56=8

or,2x=8+56

or,2x=64

or,X=64/2

X=32

Hope it helps

Good luck on your assignment

Answer:

x=32

Step-by-step explanation:

First I put the 56 on the other side by doing the opposite to it, so adding 56 to both sides.

2x - 56 = 8

   +56      +56

2x=64

Then divide both sides by two to single out the x and know it's value

2x=64

/2     /2

x=32

Answer:

The requested ratios in words, colon form, and fraction form are:

1. strawberry bars to blueberry bars  = 3 : 5 = 3/5

2. apple bars to blueberry bars  = 2 : 5 = 2/5

3. strawberry bars to total bars  = 3 : 10 = 3/10

4. apple bars to total bars  = 2 : 10 = 2/10= 1/5

5. blueberry bars to total bars  = 5 : 10 = 5/10 = 1/2

6. apple bars to strawberry bars =2 : 3 = 2/3

Step-by-step explanation:

Let's start by doing an inventory of what Nina has:

Apple bars =  2

Blueberry bars = 5

Strawberry bars = 3

Total bars = 10

The requested ratios then are:

1. strawberry bars to blueberry bars  = 3 : 5 = 3/5

2. apple bars to blueberry bars  = 2 : 5 = 2/5

3. strawberry bars to total bars  = 3 : 10 = 3/10

4. apple bars to total bars  = 2 : 10 = 2/10= 1/5

5. blueberry bars to total bars  = 5 : 10 = 5/10 = 1/2

6. apple bars to strawberry bars =2 : 3 = 2/3