Simplify d x d




Please answer

Answer:

d) y - 8 = 7/3(x - 9)

Explanation:

\(\sf point-slope\:form :\)

\(\sf y - y_1 = m(x - x_1) \ \ where \ (x_1, y_1), \ (x_2, y_2) \ are \ points \ and \ m \ the \ slope\)

Find the slope:

\(\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points\)

\(\sf \rightarrow slope\ (m) : \dfrac{1-8}{6-9} = \dfrac{-7}{-3} = \dfrac{7}{3}\)

Find the equation:

in point slope form:

\(\sf y - 8 = \dfrac{7}{3} (x - 9)\)

\(\sf y = \dfrac{7}{3} x - 21+8\)

in slope intercept form

\(\sf y = \dfrac{7}{3} x -13\)

Answer:

I'm pretty sure it's 0.625kg

Step-by-step explanation:

There are 1000g in 1kg so 7kg would be 7000g plus 500g which is 7500g.

7500g divided by 12 is 625g. Divide by 1000 to get kg and you get 0.625kg.

Hope this helps!

The total cost of the laptop with sales tax included is to the nearest cents is 747.24 dollars.

A sales tax is a consumption tax imposed by the government on the sale of goods and services

In other words, sales tax is an amount of money, calculated as a percentage, that is added to the cost of a product or service when purchased by a consumer at a retail

A laptop has a listed price of $699.99 before tax.

The sales tax rate is 6.75%.

Total cost of the laptop with sales tax included can be calculated as follows:

sale tax = 6.75% of 699.99

sale tax = 6.75 / 100 × 699.99

sale tax =  4724.9325 / 100

sale tax = 47.249325 dollars

Therefore,

Total cost of the laptop with sales tax included =  47.249325 + 699.99 = 747.239325 dollars = 747.24 dollars.

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Answer:

The minimum force required would be 50-N!

20 ft/sec must she let out the string when the kite is 500 ft away from her.

What is rate?

A rate is a unique ratio where the two words are expressed in several units.

For instance, the price is 69 for 12 ounces if a 12-ounce can of maize costs 69. This is not a proportion of two comparable units, like shirts. Cents and ounces are the two dissimilar units in this ratio.

Let x = distance of girl from the point on the ground directly below the     kite at time t

y = length of string at time t

At time t, we have a right triangle with horizontal leg of length x, vertical leg of length 300, and hypotenuse of length y.

Given:  dx/dt = 25

Find:  dy/dt when y = 500

By the Pythagorean Theorem, \(x^2 +300^2 = y^2\)

Differentiating both sides, with respect to t,

\((2x)\frac{dx}{dt} = 2y\frac{dy}{dt}\)           ...(1)

Since, \(x^2 +300^2 = y^2\),  y = 500,

So, x = 400

Plug these values in equation (1).

\(2(400)(25) = 2(500)\frac{dy}{dt}\)

After solving,

\(\frac{dy}{dt} = 20 ft/sec\)

Therefore, 20 ft/sec must she let out the string when the kite is 500 ft away from her.

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Answer:

1/4, 4/10, 3/7, 24/50 are all less than 1/2.

Step-by-step explanation:

In order to create a program that calculates the factorial of the number entered by the user, follow the steps given below:

Step 1: Start the program.

Step 2: Take input from the user in the form of an integer.

Step 3: Initialize a variable to store the factorial of the input integer. Let's name it 'fact'.

Step 4: Assign the value of fact to 1.

Step 5: Start a for loop and run it from 1 to the input integer. Assign the loop variable to i.

Step 6: Inside the loop, update the value of fact as fact=fact*i.

Step 7: End the loop.

Step 8: Print the value of fact as output.

Step 9: End the program.

Here is the code that implements the above steps:

import java. util.Scanner;

public class Main {public static void main(String[] args)

{

Scanner input = new Scanner(System.in);

System. out.println("Enter a number: ");

int n = input.nextInt();

int fact = 1;

for (int i=1; i<=n; i++)

{

fact = fact * i;

}

System.out.println("Factorial of "+n+" is "+fact);

}

}

The above program first prompts the user to enter a number.

Then it calculates and prints the factorial of the number entered by the user using the formula given below:

n! = n*(n-1)*(n-2)*...*3*2*1

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Answer:

Step-by-step explanation:

To solve the given equation \(\sf x - y = 4 \\\), we can perform the following calculations:

a) To find the value of \(\sf 3(x - y) \\\):

\(\sf 3(x - y) = 3 \cdot 4 = 12 \\\)

b) To find the value of \(\sf 6x - 6y \\\):

\(\sf 6x - 6y = 6(x - y) = 6 \cdot 4 = 24 \\\)

c) To find the value of \(\sf y - x \\\):

\(\sf y - x = - (x - y) = -4 \\\)

Therefore:

a) The value of \(\sf 3(x - y) \\\) is 12.

b) The value of \(\sf 6x - 6y \\\) is 24.

c) The value of \(\sf y - x \\\) is -4.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:Y times X = 5

Step-by-step explanation:

Answer:

See attached

Step-by-step explanation:

Refer to attached

Only column 3 - Trina's numbers represent proportional relationship

Equation for it is: y = 2.5x

Calculation is provided on the table

1.738 kg of coffee are required to produce 200 cups of coffee.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal.

Now it is given that,

1 pound of coffee yield 50 cups.

Since 1 pound = 0.4535 kg

Therefore, 0.4535 kg of coffee yield 50 cups.

Let x be the kgs of coffee that yields 200 cups of coffee.

Thus by proportion we can write,

0.4345 / 50 = x / 200

By cross multiplication we get,

50 x = 0.4345 * 200

⇒ 50x = 86.9

⇒ x = 86.9 / 50

⇒ x = 1.738 kgs

which is the required amount of coffee need to yield 200 cups.

Thus, 1.738 kg of coffee are required to produce 200 cups of coffee.

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Where the above is given, the required angle m∠BAC = 45°.

In triangle ABC. AC represents the foreman’s line of sight to the top of the landfill. Landfill height is BC

The triangle is geometric shape which includes 3 sides and sum of interior angle should not grater than 180°

According to conditions angle b = 90°

The sum of angles of a triangle= 180°

That is a + b + c = 180

Therefore, c = a

       a = (180 - b)/2

          = (180 - 90) / 2

          = 90 / 2

          = 45°

Hence, the required angle m∠BAC = 45°

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Full Question:

Although part of your question is missing, you might be referring to this full question:

Question 1 Create Triangle ABC by drawing AC. Segment AC represents the foreman’s line of sight to the top of the landfill. What is Angle m BAC?

To calculate the profit on a specific day, simply plug the day number (x) into the equation and solve for f(x). For example, to find the profit on the third day (x=3), you would use the equation:

The equation provided, f(x) = 20x - 120, represents the daily profit of Douglas's lemonade stand, where x is the number of days after opening and f(x) is the profit in dollars.


f(3) = 20(3) - 120

f(3) = 60 - 120

f(3) = -60

On the third day, Douglas has a loss of $60. As time goes on, you can expect the profit to increase because of the positive 20x term in the equation. Eventually, Douglas's lemonade stand will start to make a profit. To find the break-even point, set the profit (f(x)) equal to zero and solve for x:

0 = 20x - 120

120 = 20x

x = 6

Douglas will break even on the 6th day, meaning he will start making a profit from the 7th day onward. By understanding the equation and plugging in values for x, you can calculate the profit for any number of days after opening the lemonade stand.

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The Domain of both the function sine and cos will be R and Range is -1 to 1.

A function's domain and range are its components. A function's range is its potential output; its domain is the set of all conceivable input values. Domain, Function, and Range. If a function f: A B exists that maps every element in A to an element in B, then A is the domain and B is the co-domain. The image of an element 'a' under a relation R is provided by 'b,' where (a,b) R. The set of photographs makes up the function's range.

In order to find the domain of the sine and cosine functions we need to find the value for which the function will be given a well-defined value.

So for sine and cosine, the Domain will all be real number i.e R.

And when we put any real number in the domain we will get the function of the sine and the cosine will be lying between -1 to 1.

Hence the Domain of sine and cos will be R and Range is -1 to1.

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Answer:

x - 4

Step-by-step explanation:

The volume V is calculated as

V = lbh

Given 2 of the dimensions

(x - 1)(x - 3) = x² - 4x + 3

Then the third dimension is found by dividing V(x) by x² - 4x + 3

Using long division

                                                 x      - 4

                        -----------------------------------------

x² - 4x + 3        | x³   - 8x²    + 19x    - 12

                         x³   - 4x²     + 3x

                        -------------------------------------

                               - 4x²      + 16x    - 12

                               - 4x²      + 16x    - 12

                       --------------------------------------

                                                           0 ← remainder

Thus quotient = x - 4

That is the missing dimension is x - 4

aₙ = 0.20aₙ₋₁ + 200 is the recursive formula for the above sequence.

Therefore, choice A is the right one.

Given:

A holiday tree farm is owned by Mahek.

Currently, the site has 800 trees.

200 saplings are planted together with the 20% of the trees that are harvested and sold each year.

a₁ = 800

The recursive formula is,

aₙ = 0.20aₙ₋₁ + 200

Hence, the correct formula is aₙ = 0.20aₙ₋₁ + 200

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Circumference of a circle:

Area of a circle:

For the given circle:

Answer:

Step-by-step explanation:

Simplify it. -16d-16=-20.

Add 16 to both sides. -16d=-4

Divide 16 by both sides.

d=1/4

The probability that a CD will last less than 3 years is approximately 86.65%.

The probability can be determined using the standard normal distribution. Given that the CD's lifespan follows a normal distribution with a mean of 4 years and a standard deviation of 0.8 years, we need to find the z-score for 3 years. The z-score formula is calculated as (x - μ) / σ, where x is the value we want to find the probability for, μ is the mean, and σ is the standard deviation.

For 3 years, the z-score is (3 - 4) / 0.8 = -1.25. Using a standard normal distribution table or a calculator, we can find that the probability corresponding to a z-score of -1.25 is approximately 0.1056 or 10.56%.

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Answer:

 6

Given expression:

Simplify following inside parenthesis

If following is |-a| then |-a| = a

Evaluate following

Answer:

(x + 6)(x + 7)

Step-by-step explanation:

To factor the trinomial x^2 + 13x + 42, we need to find two numbers that multiply to 42 and add up to 13.

One way to do this is to list all the pairs of factors of 42 and see which pair adds up to 13:

1, 42 -> 1 + 42 = 43

2, 21 -> 2 + 21 = 23

3, 14 -> 3 + 14 = 17

6, 7 -> 6 + 7 = 13

So the pair of factors that we want is 6 and 7. We can use these numbers to rewrite the middle term of the trinomial:

x^2 + 13x + 42 = x^2 + 6x + 7x + 42

Next, we can group the first two terms and the last two terms:

x^2 + 6x + 7x + 42 = (x^2 + 6x) + (7x + 42)

Now, we can factor out the greatest common factor from each group:

x(x + 6) + 7(x + 6)

Notice that we have a common factor of (x + 6) in both terms. We can factor this out:

(x + 6)(x + 7)

the perimeter and area is the hypotenuse multiplied

The probability that the first survey indicates four children in the family and the second survey indicates one child in the family is 1/50.

We have,

To find the probability of the first survey indicating four children in the family and the second survey indicating one child in the family, we need to consider the number of surveys that fit this condition and divide it by the total number of possible surveys.

According to the table, the number of surveys indicating four children in the family is 8, and the total number of surveys is:

= 9 + 18 + 22 + 8 + 3 = 60.

Since the first survey is returned to the stack and can be chosen again, the probability of the first survey indicating four children in the family is 8/60.

For the second survey, there are 9 surveys indicating one child in the family (as the first survey is returned to the stack and can be chosen again), and the total number of surveys remains 60.

Therefore, the probability of the second survey indicating one child in the family is 9/60.

To find the probability of both events occurring, we multiply the individual probabilities:

Probability = (8/60) x (9/60) = 72/3600 = 1/50

Thus,

The probability that the first survey indicates four children in the family and the second survey indicates one child in the family is 1/50.

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The complete question:

Number of children in family     Number of surveys

one                                                      9

tqo                                                     18

three                                                  22

four                                                      8

five or more                                        3

Answer:

3:4

Step-by-step explanation:

total ppl-boys=girls

28-12=16

boys to girls:

12:16

It simplifies to 3:4.

Answer:

Im kinda confused on this too

Step-by-step explanation:

The domain and range of F is F={(x, y) Ix+y=10] is: 3. Domain: All Real Numbers Range: All Real Numbers

The given set F={(x, y) | x+y=10} represents a linear equation where the sum of x and y is always equal to 10.

To determine the domain and range of F, we need to consider the

possible values of x and y that satisfy the equation.

Domain: The domain represents the set of all possible values for the independent variable, which in this case is x. Since there are no restrictions on the value of x, the domain is All Real Numbers.

Range: The range represents the set of all possible values for the dependent variable, which in this case is y. By rearranging the equation x+y=10, we can solve for y to get y=10-x. Since x can take any real value, y can also take any real value. Therefore, the range is also All Real Numbers.

The correct answer is: 3. Domain: All Real Numbers Range: All Real Numbers

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Answer:

Your answer is <, Hope it helps.

Answer:

13n+20

Step-by-step explanation:

Answer: the answer is 13n+20

Step-by-step explanationn: IM TAKING THE TEST

Circle

The symbol used to represent the transformation process in a DFD (Data Flow Diagram) is a circle. Therefore, the option (c) is correct.The DFD is a graphical representation of the data flow through an information system. It is used to represent and design systems analysis and information systems architecture of an organization. A DFD consists of various symbols that are used to represent the components of the system, such as processes, data flows, and data stores. Below are the details of all the options given in the question:Option (a) shows a small shaded triangle. This symbol is used to represent the flow of data from one place to another in a single direction.Option (b) shows two small solid lines arranged one above the other. This symbol is used to represent a document or report in the data flow.Option (d) shows a square. This symbol is used to represent a data store or a database.In summary, a circle is used to represent the transformation process in a DFD.

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