are the lines y=-5 and y=3 parallel and how do i find their slopes

Answer:

The answer is A 50% of computer technicians earn more than $72,000 annually.             Step-by-step explanation:

dont have 1 i cheated

Answer:

a and c

Step-by-step explanation:

It should be noted that z^4 will be -32 in rectangular form.

Based on the information, z = r(cos θ + i sin θ), and provided positive integer n, then it is implied that:

z^n = r^n (cos nθ + i sin nθ)

In this instance, we need to solve for z^4 in rectangular form when z = -2 - 2i. Firstly, we must calculate |z| and arg(z):

|z| = √((-2)^2 + (-2)^2) = 2√2

arg(z) = arctan(-2/-2) = π/4

Leveraging De Moivre's theorem, we can effectively deduce the value of z^4 as:

z^4 = (2√2)^4 (cos (4π/4) + i sin (4π/4))

= 32 (cos π + i sin π)

= -32

Concludedly, z^4  resolved in rectangular form is -32.

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Let's use the variable x to represent the price of a regular ticket and the variable y to represent the price of a VIP ticket.

If 21 regular tickets and 38 VIP tickets cost $5228, we can write the following equation:

If 44 regular tickets and 58 VIP tickets cost $8792, we can write the following equation:

Now, to solve this system of equations, let's solve the first equation for x and then use its value in the second equation:

Therefore the price of a regular ticket is $68 and the price of a VIP ticket is $100.

Answer:

Step-by-step explanation:

The answer is attached below. There isn't much explanation for this. You just translate the word problem into a mathematical inequality.

The result of the above expression in Lisp is the list '(1 2 3 4 5).

This expression is commonly referred to as a 'list concatenation'. This expression uses the 'cons' function, which takes two lists as parameters and returns a new list with the first list's elements followed by the second list's elements. In this expression, the 'cons' function is used to join the lists '(1 2 3) and '(4 5) into a single list, which is '(1 2 3 4 5).

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Answer:

A

Step-by-step explanation:

a) ✔️

This is the principle of mathematical induction. If P holds for the base case k=1 and we can show that if it holds for any arbitrary k (e.g. k=n) then it must also hold for the next value (e.g. k=n+1), then we have shown it holds for all natural numbers.

b) ❌

There is no guarantee that P holds for all natural numbers from the statement alone. It only guarantees that for any k where P does not hold, there exists a smaller number i where P does not hold.

c) ❌

This is the principle of weak mathematical induction. It only shows that if P holds for a given k and for all smaller values i then it must hold for k+1. It does not guarantee that P holds for all natural numbers.

d) ❌

This statement is the negation of the principle of mathematical induction. It is known as the "strong induction" principle, which assumes that if P does not hold for k, then there exists a smaller i where P does not hold. However, this principle is not sufficient to prove that P holds for all natural numbers k.

Answer:

The s represents the y-intercept of the graph.

The 100t in the equation means the initial velocity of the rockey is 100

Step-by-step explanation:

According to the text and graph.

The s reprecets the yintexept of the graph

h(t)=5+100t-16t²

h(t)=100-32t

k(0)=100

in terms of the rocket The 100t in the equation means the initial velocity of the rockey is 100

read the image for the rest

The distribution over the random variable X, representing the number of kids between Izzy and Lizzy in line, is given by P(X=x) = 1/2, 1/4, 1/6, and 1/12 for x=1, 2, 3, and 4, respectively.

Let us assume that the other two kids are named A and B. We can represent the order of the four kids as a string of letters: ALIB or ALBI or ABLI or ABIL or AIBL or AILB. There are 4! = 24 possible ways to order the four kids, and in half of them, Izzy comes before Lizzy, and in half of them, Lizzy comes before Izzy. So there are 12 possible orders in which Izzy comes before Lizzy.

In 6 of these orders, there is one kid between Izzy and Lizzy (e.g., AILB). In 3 of these orders, there are two kids between Izzy and Lizzy (e.g., ABLI). In 2 of these orders, there are three kids between Izzy and Lizzy (e.g., ALBI). And in 1 of these orders, there are four kids between Izzy and Lizzy (e.g., ABIL).

Therefore, the distribution over x is

P(X=1) = 6/12 = 1/2

P(X=2) = 3/12 = 1/4

P(X=3) = 2/12 = 1/6

P(X=4) = 1/12

So the probability mass function of X is

P(X=x) =

1/2 if x=1

1/4 if x=2

1/6 if x=3

1/12 if x=4

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Answer:

It would go 3 to the write of x.

Step-by-step explanation:

If B is the 3 spaces to the left of x and T is three spaces to the right of x, x would be in the middle.

In the picture, you have B=2, X= 5

so T goes if X is the midpoint of BT is

X= (B+T)/2

5 x 2= 2+ T

10 = 2+T

therefore, T = 8

the relationship between feet and yard is f y

Answer:

Step-by-step explanation:

Given the profit function P(x) = -6x² +288x -3162, you want to find the value of x and the value of P(x) corresponding to maximum profit.

The vertex of the parabola described by ax²+bx+c lies on the line of symmetry:

  x = -b/(2a)

This will be the value of x that is a maximum when a < 0.

The value of the function at that point can be found by evaluating the quadratic expression for the value of x just found.

Maximum profit is had when ...

  x = -(288)/(2(-6)) = 24

That maximum profit is ...

  P(24) = (-6(24) +288)(24) -3162 = 144(24) -3162 = 294

For maximum profit, 24 tables should be made per day. The maximum profit is $294 per day.

The system of linear equation for the graph are: y = -1/3x + 3 and y = 3x - 7.

A system of linear equation is a combination of two linear equation. Each linear equation is made of algebraic equation that consists of variables, constant, and arithmetic operation.

To determine the linear equation on the graph, we need to find two points on the each line on the graph and determine the slope-intercept form.

For the first decreasing line to the left, we have the two points

(0, 3)(9,0)

Using the slope intercept form y = mx + b. The linear equation for the first line is: y = -1/3x + 3

For the second increasing line to the right, the two points are:

(3,2)(0,-7)

The linear equation for the second line is:

y = 3x - 7

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To convert an annual interest rate to a daily interest rate based on simple interest, divide the annual interest rate by 365, the number of days in a year.

This way,

The daily interest rate is 0.05%

To get the simple interest in a 30 day period, we use the formula for simple interest and get:

The interest for a 30 day period is $23.15

Answer:

              \(\boxed{(x+2)^2-16=0}\)

Step-by-step explanation:

\({}\quad x^2\,+\,4x\ -\ 12=0\\\\\underbrace{x^2+2\cdot x\cdot2+2^2}-2^2-12=0\\\\{}\qquad(x+2)^2\ \ -4-12=0\\\\{}\qquad(x+2)^2-16=0\)

Answer:

3x - 1 = 0

Step-by-step explanation:

3x + 1 = 0

The perpendicular of a line has a slope that is the negative reciprocal of that lines slope.

So the answer is 3x - 1 = 0

She spent $733.29 dollars on the computer

Answer:

25%

Step-by-step explanation:

The likelihood of events A and B overlapping is 25% (or 0.25), assuming both are unrelated. To determine the precise likelihood, extra information is required if they are dependent.

Whether occurrences A and B are independent or dependent determines the likelihood that they will overlap. Let's think about both possibilities:
Events A and B must be independent of one another for their probabilities to be unaffected by one another.
In this scenario, there is a 50% (0.5) chance of event A happening and a 50% (0.5) chance of event B happening.
We add their probabilities together to get the likelihood that the two occurrences will occur simultaneously:

Probability (A and B) = Probability (A) * Probability (B) = 0.25 or 0.5%.Events A and B that are dependent on one another may have different effects on their probabilities.
It is difficult to calculate the exact probability of overlap without additional knowledge about the dependency's nature.
the likelihood of events A and B overlapping is 25% (or 0.25), assuming both are unrelated.
To determine the precise likelihood, extra information is required if they are dependent.


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Answer: 25.75

Step-by-step explanation: 103 divided by 4 = 25.75

Answer:

D. 49

Step-by-step explanation:

To complete the square, you have to take half of the value next to x, 14 in this case, and square that.

1/2 of  14 is 7

7 squared is 49

so, the final equation is x²+14x+49

Hope this helps!

Answer:

13. is 4

14. is (9 and -2 x m)

Step-by-step explanation:

w = 3

5x3 + [-2x3} + 4 = 13

\15/   -   \6/  = 9 + 4 + 13

The value of p is 2 and q is either 7 or 13 and their sum is either 9 or 15.

It is given that the value of p and q is a prime number, and p<q.

But it is also given that the value of both should be less than 18 as well as a prime number.

Therefore the value of both should be 2, 3, 5, 7, 11, 13, and 17.

And it is also given that p<q.

Now we have to find the value of p + q which is odd but not a prime number.

To have a sum as an odd number one number should be even and as it is given that p<q, therefore p=2, and q = 3, 5, 7, 11, 13, 17.

So

p + q = 2 + 5 = 7, which is odd but it is prime

Now again, q = 7

p + q = 2 + 7 = 9 , which is odd as well as not prime.

Again take q = 11

p + q = 2 + 11 = 13, which is odd but prime

Now take q = 13

p + q =  2 + 13 = 15, which is odd as well as not prime.

Now take q = 17

p + q = 2 + 17 = 19, which is odd and prime.

Therefore we have p =2 and q = 7 or 13 and sum p + q =9 or 15 which is odd but not prime.

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Answer:

$10665,64

Step-by-step explanation:

S=19900*(1-(7,5/100))^8=10665, 64

Answer:10665.64

Step-by-step explanation: Exponential Functions:

y=ab^x

A= starting value = 19900

r=rate = 7.5%=0.075

Exponential Decay:

b=1-r=1-0.075=0.925  

Write Exponential Function:

y=19900(0.925)^x

Plug in time for x:

y=19900(0.925)^8

y= 10665.6404317  

Evaluate

y≈10665.64

Mate's car can travel approximately 5 more minutes per gallon of gas compared to Jenna's car.

To determine how many more minutes Mate's car can travel per gallon of gas compared to Jenna's car, we would need additional information about the fuel efficiency or miles per gallon (MPG) for each car.

Fuel efficiency is typically measured in terms of miles per gallon, indicating the number of miles a car can travel on a gallon of gas.

To calculate the difference in travel time, we would also need to know the average speed at which the cars are traveling.

Once we have the MPG values for Mate's car and Jenna's car, we can calculate the difference in travel time per gallon of gas by considering their respective fuel efficiencies and average speeds.

If Mate's car has a fuel efficiency of 30 MPG and Jenna's car has a fuel efficiency of 25 MPG, we can calculate the difference in travel time by comparing the distances they can travel on a gallon of gas.

Let's assume both cars are traveling at an average speed of 60 miles per hour.

For Mate's car:

Travel time = Distance / Speed

= (30 miles / 1 gallon) / 60 miles per hour

= 0.5 hours or 30 minutes.

For Jenna's car:

Travel time = Distance / Speed

= (25 miles / 1 gallon) / 60 miles per hour

= 0.4167 hours or approximately 25 minutes.

Without specific information about the MPG values and average speeds of the cars, it is not possible to provide an accurate answer regarding the difference in travel time per gallon of gas between Mate's car and Jenna's car.

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Answer:

as the last two months have a few minutes in a factory and we have a few minutes away and will also send the

Answer:

See image

Step-by-step explanation:

For this question, you need to know several special relationships about circles. A radius goes from the center of a circle to any point on the circle. All the radii (not a typo, plural of radius is radii) are the same size, their measures are equal; we say they are congruent (the symbol is an equal sign with a ~over it)

In the diagram, OA and OB are congruent because they are radii. AC is a tangent, that means that it touches the circle at exactly one point, in this case at A. So since OA is a radius and AC is a tangent, they are perpendicular to each other (makes 90° angles). Then we can subtract 90 - 72 to find the angle OAB. Angle OAB is 14°. In triangle AOB, which has two sides the same, the opposite angles will also be congruent which means OBA is also 14° (OR you could use the exact same logic for OB perpendicular to BC and subtract, same calculation as before) . Once you have the two 14° angles in the triangle, you can use the fact that all the angles in a triangle add up to 180° So then, 14 + 14 + x =180. Solve this equation to find angle AOB. See image.

Answer: 4

Step-by-step explanation:

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