Jim bought a sweater for $5.98 and a scarf for 1.98, how much did he get back from a $10 bill

The rate of change of y with respect to x is given by dy/dx = xy - (3/2)x²y.

To find the rate of change of y with respect to x, we need to differentiate the given equation. The rate of change can be determined by taking the derivative of both sides of the equation with respect to x.

First, let's differentiate each term separately using the rules of differentiation.

Differentiating x²y with respect to x gives us 2xy using the product rule.

To differentiate 5, we know that a constant has a derivative of 0.

Differentiating 2ln(y) with respect to x requires the chain rule. The derivative of ln(y) with respect to y is 1/y, and then we multiply by dy/dx. So, the derivative of 2ln(y) is 2/y * dy/dx.

Differentiating x³ gives us 3x² using the power rule.

Now, we can rewrite the equation with its derivatives:

2xy - 2/y * dy/dx = 3x²

To solve for dy/dx, we can isolate it on one side of the equation. Rearranging the equation, we get:

2xy = 2/y * dy/dx + 3x²

To isolate dy/dx, we move the term 2/y * dy/dx to the other side:

2xy - 2/y * dy/dx = 3x²

2xy = 2/y * dy/dx + 3x²

2/y * dy/dx = 2xy - 3x²

Now, we can solve for dy/dx by multiplying both sides by y/2:

dy/dx = (2xy - 3x²) * (y/2)

Simplifying further, we have:

dy/dx = xy - (3/2)x²y

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Based on the information in the graph, it can be inferred that the total cost would be: 233.521, mark up: 116.75, and selling price: 350.271.

To calculate the total cost we must multiply the unit price of each product by the number of units we need. Once we get this result, we add everything to find the total cost.

To calculate the mark up we must divide the total cost of each ingredient in two. Once we have these results, we add everything to find the mark up.

To calculate the selling price we must add the mark up and the total cost of each ingredient. Additionally, to find the total selling price of all the products we must add all the values.

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Answer:

B=28

Step-by-step explanation:

( x = 0 \) and \( a \), the expression \( A \cdot C \) simplifies to 0.

In the given expression, \( A \cdot C \), the variables \( A \) and \( C \) are being multiplied together.

However, the question also provides additional information, stating that \( x = 0 \) and \( a \). It is not clear what value \( a \) represents, so we will need more information to determine its significance in the expression.

As for the value of \( x \), since it is given that \( x = 0 \), we can substitute this value into the expression.

So, \( A \cdot C \) becomes \( A \cdot C \cdot 0 \).

Multiplying any number by zero will always result in zero, regardless of the value of \( A \) or \( C \).

Therefore, \( A \cdot C \cdot 0 = 0 \).

To summarize, when \( x = 0 \) and \( a \), the expression \( A \cdot C \) simplifies to 0.

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Answer:

Proportional

Step-by-step explanation:

It follows the proportion of 1:10, 1 part bleach to 10 parts water.

Answer: 3 1/2 represents G and 2 3/4 represents point K

Step-by-step explanation: If you look at the first on it is 3 1/2 because it is in the middle and the second one is divided in fourths so K is 2 3/4.

Answer:

$6.63

Step-by-step explanation:

$21.32-$14.69=$6.63

The mathematical model of communication would classify this issue as channel capacity.

The greatest quantity of data that can be transferred error-free across a communication channel, such as a mobile phone network, is represented by the channel capacity. In this instance, the phone's battery power determines the channel capacity. As the battery depletes, the phone's ability to send and receive information declines, making it impossible to hear the person on the other end of the line.

Communication models are streamlined depictions of the communication process. Most models attempt to explain both verbal and nonverbal communication, and frequently regard it as a message-exchange. Their purpose is to provide a concise picture of the intricate communication process.

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Answer:

x = 65 degree

Step-by-step explanation:

x + 115 = 180 degree (sum of adjacent angles of a parallelogram is 180 degree)

x = 180 - 115

x = 65 degree

Answer:

It is the sedond one

Step-by-step explanation:

7n, 4n because they have the same variable, n.

Answer:

C. 2 and 6

Step-by-step explanation:

2 and 6 are the zeros because they are both on X

Answer:

A is the answer

Step-by-step explanation:

Answer:

i think 24

Step-by-step explanation:

1/2 H x B

6 x 8 =48 1/2 is 24

The area of the tile is 24 square in.

A triangle is a flat geometric figure that has three sides and three angles. The sum of the interior angles of a triangle is equal to 180°. The exterior angles sum up to 360°.

For the given situation,

The tile is in the shape of right triangle.

The sides of triangle are 10 in, 8 in, 6 in.

Here, Base of the triangle,b = 6 in

Height of the triangle,h = 8 in

The formula of area of triangle is

\(Area = \frac{1}{2}(base) (height)\)

⇒ \(A=\frac{1}{2}(6)(8)\)

⇒ \(A=24\)

Hence we can conclude that the area of the tile is 24 square in.

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Answer:

1.  Y = -1/4x + 1

3. Y = 2/5x + 1

5. Y = 4/5x + 5

7. Y = -x + 5

9. Y = -5/2x - 16

Step-by-step explanation:

Find the slope using the formula

Use the slope and one of the points to find the y-intercept

Once you know the value for m and the value for b, you can plug these into the slope-intercept form of a line (y = mx + b) to get the equation for the line.

Answer:

12×8/2=48

10×10=100

2(48)+3(100)

96+300= 396ft²

Answer:

B

Step-by-step explanation:

Considering a quadratic equation, it is found that:

Considering the height in feet, it is given by:

h(t) = -4.9t² + v(0)t + h(0)

In which:

In this problem, we have that h(0) = 6, v(0) = 16, hence the equation is given by:

h(t) = -4.9t² + 16t + 6

Which is a quadratic equation with coefficients a = -4.9, b = 16, c = 6. Hence the maximum height is found as follows:

\(\Delta = b^2 - 4ac = 16^2 - 4(-4.9)(6) = 373.6\)

\(h_{MAX} = -\frac{\Delta}{4a} = -\frac{373.6}{-4(4.9)} = 19.06\)

The maximum height of the volleyball is of 19.06 feet.

It hits the ground at the roots, hence:

The solutions are:

\(x_1 = \frac{-16 + \sqrt{373.6}}{-9.8} = -0.34\)

\(x_2 = \frac{-16 - \sqrt{373.6}}{-9.8} = 3.6\)

Time is a positive measure, hence:

The volleyball will hit the ground after 3.6 seconds.

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Answer: Meeeeee

Step-by-step explanation:

Answer:

SURE

Step-by-step explanation:

If b be a subset of a where |a| = n and |b| = k, then the number of subsets of a whose intersection with b has exactly one element is k × (n-k) C(k-1)

Let's first choose the one element that must be in the intersection of any subset of A with B. Since B has k elements, there are k choices for this element.

Now, we need to choose the remaining (k-1) elements of the subset from A - B, which has n-k elements. There are (n-k) choose (k-1) ways to do this.

Therefore, the total number of subsets of A whose intersection with B has exactly one element is

k × (n-k) choose (k-1)

Alternatively, we can write this as

k × (n-k)C(k-1)

where nCk represents the number of ways to choose k items from a set of size n using combinations.

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Answer:

Step-by-step explanation:

An easy way to do slope is to know the formula which is (y1-y2)/(x1-x2)

In this case you have two points (2,5) and (0,-1)

2 = x1 (cause it’s the first x)

5 = y1 (cause it’s the first y)

0 = x2 (second x)

-1 = y2 (second y)

So the slope would be

(5-(-1))/2-0= 6/2 = 3

Answer:

The larger number is 98

Step-by-step explanation:

Let the numbers be a and b

a/b= 2/4

4a = 2b ------- 1

a + b = 147 -----2

a= 147 - b -------3

Substitute equation 3 into 1

4(147 -b) = 2b

588 - 4b = 2b

588= 2b + 4b

588 = 6b

b= 588/6

b= 98

Substituting b= 98 into 1

4a = 2(98)

4a = 196

a= 49

The larger number is 98

If he arranges them into 6 equal rows, 4 posters will be in each row.

One of the fundamental arithmetic operations in mathematics is the division, which is the process of dividing a group of items into equal pieces. Every day, we might employ the division approach in various situations. Fraction division differs significantly from natural number division. We must change the division operator into a multiplication operator when dividing fractions. Therefore, the dividend should be multiplied by the inverted divisor.

Given,

Total posters = 24

Arranging them into 6 equal rows,

Dividing:

24÷ 6

Reciprocating,

24 × 1/6

4

If he arranges them into 6 equal rows, 4 posters will be in each row.

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Answer:

+83

Step-by-step explanation:

The reason why it would be +83 is that it says that you walk UP 83 stairs.

And so from the word UP we know that the integer would be positive. And the number 83 represents how any stairs you walked up. So, it would be +83.

Hope this helped!!! :)

Brainliest?!?!

Stay safe and have a wonderful day/night/afternoon!!!

Answer:

The range of the data set is 16.

Step-by-step explanation:

The range of a box plot is the difference between the maximum and minimum value. To find the range of the given box plot, we can simply subtract the value located at the lower whisker from the value located at the upper whisker.

18 - 2 = 16

Hope this helps :)

Answer:

A is the answer

Step-by-step explanation:

6 times 3.14 is 18.84

Given,

Diameter of circle = 6 in.

As we know that radius is half of diameter.

Radius = 6 × 1/2 = 3 inches

Now,

\( \sf Circumference \: of \: circle = 2 \pi \: r\)

\( = \: 2 \times \dfrac{22}{7} \times 3\)

\( = \dfrac{44}{7} \times 3\)

\( = \dfrac{132}{7} \)

\( = 18.84\: in.\)

Hence,option ( a ) is correct.