What is the slope, y intercept and equation

Answer:

63%

Step-by-step explanation:

9.5/15

hope this helps

your  grade is a %63.333333333333

The set operation to find (A U B) - C results in {(3, 5), (4, 2, 3)}. The Cartesian product of (A U B) and (A n B) is an empty set.

Let's first find (A U B) - C. The union of sets A and B, denoted as (A U B), is the set that contains all the elements from both A and B without any duplicates. So, (A U B) = {(3, 5), (4, 2, 3), (2, 4)}. Now, when we subtract set C from (A U B), we remove any elements that are also present in C. As C = (2, 4), the resulting set is {(3, 5), (4, 2, 3)}. This set contains the tuples from (A U B) that do not have elements from C.

Next, let's find the Cartesian product of (A U B) and (A n B). The intersection of sets A and B, denoted as (A n B), contains elements that are common to both A and B. In this case, (A n B) = {}. The Cartesian product of two sets is a set of all possible ordered pairs, where the first element is from the first set and the second element is from the second set. Since (A n B) is an empty set, the Cartesian product of (A U B) and (A n B) will also be an empty set.

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The exponential function f (x) = 2500 (0. 4)ˣ models the amount of money in Zachary's savings account over the last 10 year's. Zachary's amount balance is decreasing.

Exponential Function:

An exponential function is a mathematical function represented by f(x) = exp(x) or eˣ (where the argument x is written as an exponent). Unless otherwise specified, the term generally refers to positive-valued functions of real variables, although it can be extended to complex numbers or generalized to other mathematical objects such as matrices or Lie algebras. The exponential function originated from the idea of ​​exponentiation (repeated multiplication), but the modern definition (with several equivalent representations) allows it to be extended strictly to all real arguments, including irrational numbers.

According to the Question:

For an Exponential Function in the form y = a. bˣ

Because b=0.4, then,  Zachary's amount balance is decreasing.

Now,

Because the function is decreasing then it is exponential decay function and b is the decay factor.

And, In the exponential decay function

A(t) = a(1 -r)ᵇ , the decay factor is given by (1 - r) so:

     b = 1 -r

⇒  0.4 = 1 - 0.6

Where, r i the rate of decay.

Hence, the base term of the rate of decay is:

f (x) = 2500 (1 - 0.6)ˣ.

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Answer:

$3090

Step-by-step explanation:

First take $30,000 * 0.03 (3%) to get $30, to get $900. Then add 30,000 +900 to get first year salary. Next take 30,900 (Jesse's salary after the first year) times 0.1 (10%) to get 3090 which is his bonus for the second year.

Answer:

ok

Step-by-step explanation:dfghjklkjgfvg

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Answer:

Part a:

Price of car A = $131,745    and price of car B is unknown = x

There are two possible cases: 1) Car A is the more expensive car, and 2) car B is the more expensive one. We start by analyzing both cases separately:

Case 1) If car A is the more expensive car, we could write the difference in prices in mathematical form, using the "larger than" symbol: ">"

$131,745 - x > $15,000 that reads :"the price of car A ($131,745) minus the price of car B (x) is MORE THAN (>) $15,000

Case 2) Car B is more expensive than A, so we can write:

x - $131,745 > $15,000 that reads: "the price of car B (x) minus the price of car A ($131,745) is MORE THAN (>) $15,000

Both inequalities that we wrote above can be condense in a single inequality if we use the "absolute value" mathematical symbol thus expressing that the difference between both prices in absolute value must be larger than $15,000:

| $131,745 - x | > $15,000

Part b) We can solve for x in the first inequality we wrote:

$131,745 - $15,000 > x therefore x < $116,745

and also we can solve for x in the second inequality given us the second possibility:

x - $131,745 > $15,000  therefore x > $146,745

Answer:

zero (0)

Step-by-step explanation:

-4^0=-1

-1+1=0

The length of segment RS is given as follows:

RS = 24.

The angle addition postulate states that if two or more angles share a common vertex and a common angle, forming a combination, the measure of the larger angle will be given by the sum of the measures of each of the angles.

The segment RT is the combination of segments RS and ST, hence:

RT = RS + ST.

Hence the length of segment RS is given as follows:

41 = RS + 17

RS = 24.

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The solution of the given system of equations 6x+3y=8 and 8x+4y=-1 is x=0 and y==-8/9

In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.

A solution to a system of equations is a set of values for the variable that satisfy all the equations simultaneously. In order to solve a system of equations, one must find all the sets of values of the variables that constitutes solutions of the system. (5, 4) is a solution of the first equation, but not the second.

We are given that;

The equation 1;  6x+3y=8

The equation 2; 8x+4y=-1

Now,

In equation 1

6x=8-3y

x=(8-3y)/6

Substituting the value of x in equation 2

8((8-3y)/6)+4y=-1

4((8-3y)/3)+4y=-1

(8-3y)/3)+4y=-1/4

8-3y+12y=-3/4

8+9y=-3/4

9y=-3/4-8

9y=-3-32/4

9y=-35/4

y=-32/36=-8/9

Putting the value of y in equation 1

6x+3(-8/9)=8

54x-8=8

x=0

Therefore, the solution of the equations will be x=0, y=-8/9.

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The probability that a randomly selection of 998 digital video recorders in a inventory one of them is defective is 3.71%

To solve this exercise the formula and the procedure that we have to use for probability is:

% probability= (achieving success / possible outcomes) * 100

Information about the problem:

Applying the formula to calculate the probability we get:

% probability= (achieving success / possible outcomes) * 100

% probability= (37/ 998) * 100

% probability= (0.0371) * 100

% probability= 3.71%

Probability is the function that measures the chances that an outcome of a random event will be as expected. In this way you can measure how likely it is that an event will happen.

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Answer:

i think 2

Step-by-step explanation:

Answer:

One senior tickets costs $15, and one student ticket costs $10.

Step-by-step explanation:

Let 'x' represent the price of a senior citizen ticket and let 'y' represent the price of a student ticket.

10 senior tickets and 7 student tickets amounts to $220. Writing this as an equation, we get:

10x+7y=220

5 senior tickets and 9 student tickets amounts to $165. Writing this as an equation, we get:

5x+9y=165

Now, we can use simultaneous equations to find the values of 'x' and y':

10x+7y=220

5x+9y=165

>> Multiply the second equation by -2:

10x+7y=220

-10x-18y=-330

>>> Add/combine equations

-11y=-110

y=10, so student tickets cost $10 each

Sub value for y into one of the equations to fund x:

10x+7y=220

10x+7(10)=220

10x+70=220

10x=150

x=15, so senior tickets cost $15 each

Answer:

The answer to your problem is -10

The particle's position at time t=0 is 3/2.

That velocity-time is the derivative of the position function, so I thought I could find the anti-derivative of v(t)

and used the given position to solve for the integration constant and then would have a formula of the position which would allow for me to solve for the t=0.

x(t)=∫sin(2t)dt

=−1/2 * cos(2t)+C

So,

time, t = π/2 ; x = 4

4 = −1/2cos(2[π/2])+C

4 = -1/2 * cos π + C

4 =  -1/2 * (-1) + C

C= 4−1/2

= 5/2

Now, put C = 5/2 to find particle position at time, t=0:

x(t) = −1/2 * cos(2t)+C

= −1/2 * cos(2(0)) + 5/2

= -1/2 + 5/2

= 3/2

Hence,  the particle's position at time t=0 is 3/2.

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Answer:

Step-by-step explanation:

let x be the number of cards brian gets

let y be the amount of money he spends

the y intercept will be 5, since he automatically spends $5 to enter

a. 4x+5=y

b.29=4x+5 —-> 24=4x —-> x=6. Brian got 6 card

c. Brian can’t buy more than 15 cards. When you plug in 65 for y into the equation, after solving for x you get 15 To check, 4(15)+5=65

Answer:

3. 35

Step-by-step explanation:

15+20=35

Answer:

1 - sec (x)

Step-by-step explanation:

Write the problem as a mathematical expression

tan (x) (cot(x)−csc(x)

Apply the distributive property

tan (x) cot(x) +tan (x) (−csc(x)

Rewrite in terms of sines and cosines, then cancel the common factors

1+tan (x) (−csc(x)

Then u get 1 - sec (x)

Answer:

25 inches

Step-by-step explanation:

Using the Pythagorean theorem;

20^2 + 15^2 = C^2

C= 25

Answer:

its 25

Step-by-step explanation:

there right

You can substitute the value of x into the formula to calculate the probability for any specific number of no-change audits.

To determine the probability that the sample has a specific number of no-change audits, we can use the binomial probability formula.

The binomial probability formula is given by:

\(P(X = k) = C(n, k) * p^k * (1 - p)^{(n - k)}\)

Where:

P(X = k) is the probability of having exactly k successes (in this case, no-change audits),

n is the sample size,

k is the number of successes,

p is the probability of success in a single trial (in this case, the probability of a no-change audit), and

C(n, k) is the binomial coefficient, also known as "n choose k," which represents the number of ways to choose k successes from n trials.

In this scenario, n = 200 (sample size) and p = 0.9 (probability of no-change audit). We want to calculate the probability of having a specific number of no-change audits. Let's say we want to find the probability of having x no-change audits.

\(P(X = x) = C(200, x) * 0.9^x * (1 - 0.9)^{(200 - x)}\)

Now, let's calculate the probability of having a specific number of no-change audits for different values of x. For example, if we want to find the probability of having exactly 180 no-change audits:

\(P(X = 180) = C(200, 180) * 0.9^{180} * (1 - 0.9)^{(200 - 180)}\)

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Answer:

h = 440.94 feet

Step-by-step explanation:

It is given that,

An architect is standing 370 feet from the base of a building, x = 370 feet

The angle of elevation is 50°.

We need to find the approximate height of the building. let it is h. It can be calculated using trigonometry as follows :

\(\tan\theta=\dfrac{P}{B}\\\\\tan\theta=\dfrac{h}{x}\\\\h=x\tan\theta\\\\h=370\times \tan50\\\\h=440.94\ \text{feet}\)

So, the approximate height of the building is 440.94 feet

The better buy is given by the following brand:

Brand A.

The better buy is obtained applying the proportions in the context of the problem.

A proportion is applied as the cost per ounce is given dividing the total cost by the number of ounces.

Then the better buy is given by the option with the lowest cost per ounce.

The cost per ounce for each brand is given as follows:

$8 per ounce is a lesser cost than $9.3 per ounce, hence the better buy is given by Brand A.

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Answer:Corporations step up their expansion plans and thus increase their demand for capital.

Step-by-step explanation:

Answer:

$12 per shirt

Step-by-step explanation:

$300/25=$12

Answer:

11.96 per shirt

Step-by-step explanation:

299/25 = 11.96 you do this instead of 300/25 because it says less than 300

Answer: 45

Step-by-step explanation:

The sides are 2x,3x,4x

Add them up and you have 9x=45

We are given the following equation:

First we will solve the square:

Now we will solve the product:

Now we will add the numbers:

Now we will multiply both sides by 2:

Now we add the terms on the right side:

Now we will divide both sides by 9:

The requirement f(x1) * f(x2) < 0 for choosing initial guesses x1 and x2 with opposite signs ensures the validity and convergence of certain numerical root-finding methods such as the bisection method or the regula falsi method.

The statement you provided is true for certain numerical methods used to find roots of equations, such as the bisection method or the regula falsi method. These methods are iterative and require an initial interval or range where the root is expected to be found. To ensure convergence and a valid solution, it is necessary to choose initial guesses x1 and x2 such that the function f(x) evaluated at those points have opposite signs, i.e., f(x1) * f(x2) < 0.

The rationale behind this requirement is based on the Intermediate Value Theorem, which states that if a continuous function f(x) changes sign over an interval [x1, x2], then there exists at least one root within that interval. By ensuring that f(x1) and f(x2) have opposite signs, we guarantee the existence of a root within the interval [x1, x2].

The bisection method works by repeatedly bisecting the interval and selecting a new subinterval that contains the root. At each iteration, the method narrows down the interval by halving it, based on the sign change observed in the function evaluations.

Similarly, the regula falsi (or false position) method also operates by iteratively refining the interval based on the linear interpolation between the function values at the endpoints. The method adjusts the interval based on the sign change of the function, converging to the root.

Both methods rely on the property of opposite signs to guarantee convergence and avoid getting stuck in a non-converging or incorrect solution. If the initial guesses do not satisfy the condition f(x1) * f(x2) < 0, it is possible that the method fails to converge or converges to a different root or solution.

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Statements are False: 1. interchanging rows changes determinant. 2. determinant zero not implies specific rows. 3. determinant not product of diagonal entries. 4. determinant is scalar not matrix.

What is matrix ?

A matrix is a rectangular array of numbers or other mathematical objects, typically arranged in rows and columns. Matrices are often denoted using capital letters, such as A, B, and C. Each element of a matrix is identified by its row and column indices,

1) False, If two row interchanges are made in succession, the determinant of the new matrix is the negative of the determinant of the original matrix.

2) False, If the determinant of a matrix is zero, it does not necessarily mean that two rows or two columns are the same or a row or column is zero, it only means that the matrix is singular, i.e. non-invertible and it also can mean that the matrix is linearly dependent.

3) False, The determinant of a matrix is not always equal to the product of the diagonal entries, it is a scalar value calculated through a specific method called matrix expansion which is based on the entries of the matrix and it depends on the size of the matrix.

4) False, The determinant of a matrix is a scalar value, it cannot be equal to another matrix.

Statements are False: 1. interchanging rows changes determinant. 2. determinant zero not implies specific rows. 3. determinant not product of diagonal entries. 4. determinant is scalar not matrix.

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The table for the graph is

x   -2  -1  0  1  2

y  -4   -2 0  2  4

The similarity is: Both lines have positive slopes

The difference is: Both lines have different slopes

From the question, we have the following parameters that can be used in our computation:

y = 2x

The missing y values are at x = 0 and x = 2

So, we have

y = 2 * 0 = 0

y = 2 * 2 = 4

We have

y = x

y = 2x

From the above, the similarity is:

Both lines have positive slopes

And, we have the difference to be

Both lines have different slopes

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Answer:

-3...........……..........

Answer:

Sarah runs at 14.4km/h

Step-by-step explanation:

36km = 2.5 hours

/ = per or divide

36km/2.5hours = 36 divided by 2.5 = 14.4km/h

Answer:

2/5 is already a fraction.... it's an improper fraction.