Find a vector function that represents the curve of intersection of the two surfaces. the paraboloid z = 8x 2 y 2 and the parabolic cylinder y = 3x 2 r(t) = t i j

Answer:

y=5/3x-8

Slope = 5/3

Y int = (0,-8) or y=-8

Step-by-step explanation:

Answer: 5/3x - 8

Step-by-step explanation:

-3y=24-5x

/3

5x/3 -8

5/3x - 8

Answer:

43°

Step-by-step explanation:

the blue angle is congruent with the 80° because they are vertical angles

the red angle is 57° because 123° and 57° angles are supplementary angles

the green angle is 43° because the sum or angles in a triangle is 180°

Answer:

A

Step-by-step explanation:

I am not 100% sure how to show it but i graphed it and it's A

Answer:

Since there are 36 inches in 1 yard,313 by 36 .

So, 313 yards = 11,268 inches.

Step-by-step explanation:

There are 36 inches in one yard

To get your answer, you'll multiply 313 yards by 36 inches

=313×36

=11,268

So 313 yards=11,268 inches

Since there are 36 inches in 1 yard,313 by 36 .

So, 313 yards = 11,268 inches.

Since they are 36 inches in 1 yard,  multiply 313 by 36,  So 313 yards equal 120 inches.

Its actually up the answer but 210 is correct tho

Step-by-step explanation:

I did this question and got it right so dont worry . (savvas Realize)

Answer: 48 is the smaller integer

Step-by-step explanation: 48+49=97 48 and 49 are the two integers, 48 is smaller than 49.

Answer:

50.05 feet

Step-by-step explanation:

The tower have 32.57 feet, and you can find it using the same method than I used in your other question

Now you find the length of the guy wire using the Pythagorean theorem:

38²+32.57² = guy wire²

2504.8 = guy wire²

guy wire = √2504.8

guy wire = 50.05 feet

Eliminate x by adding the two equations, yielding \(y = 6\). Then, substitute y into either equation to solve for x, obtaining \(x = -3\). The solution is \((-3,6)\).

An equation is a mathematical statement that uses symbols, numbers, and variables to show that two expressions are equal, typically with an equal sign between them.

A variable is a quantity or symbol that can take on different values in a mathematical expression, equation, or formula, typically represented by a letter.

To eliminate a variable in a system of equations, we want to find a way to add or subtract the two equations so that one of the variables is eliminated.

In this case, we can eliminate the variable x by adding the two equations

\(x- 7y = -45\)

\((-x +8y = 51)\)

\(y = 6\)

Now that we have found the value of y, we can substitute it into either of the original equations to solve for x. Let's use the first equation

\(x-7y = -45\\x- 7(6) = -45\\x = -45+42\\x = -3\)

Therefore the solution to the system of equations is \(x= -3\) and\(y= 6\)

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the solution to the system of equations is (x, y) = (-3, 6).

What is an Equations?

Equations are mathematical statements with two algebraic expressions on either side of an equals (=) sign. It illustrates the equality between the expressions written on the left and right sides. To determine the value of a variable representing an unknown quantity, equations can be solved. A statement is not an equation if there is no "equal to" symbol in it. It will be regarded as an expression.

To eliminate the variable x, we can add the two equations together. This will result in the x variable being eliminated, leaving us with an equation in terms of y:

(x - 7y) + (-x + 8y) = -45 + 51

Simplifying and solving for y, we get:

y = 6

Now that we know the value of y, we can substitute it into one of the original equations to solve for x. Using the first equation:

x - 7(6) = -45

Simplifying and solving for x, we get:

x = -3

Therefore, the solution to the system of equations is (x, y) = (-3, 6).

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The correct option is a in which the ordered pair (a , b) satisfies y < x + 5

If you subtract 5 from b , it will be less than or equal to a .

An ordered pair is defined as any pair of numbers for which order is important. Clearly the order of coordinates for a given point is very important for example (5,2) and (2, 5) represent two very different points on a coordinate system. As shown in the image attached. Therefore, a given point such as (5,2), is often referred to as an ordered pair.

The correct option is a in which  ordered pair (a , b) satisfies y < x + 5

if you subtract 5 from b , it will be less than or equal to a .

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The ordered pairs of the inequality expression is (0, 4)

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

The inequality expression  y>1/2x+3

To determine the ordered pairs of the inequality expression, we set x - 0 and then calculate the value of y

Using the above as a guide, we have the following:

y > 1/2 * 0 + 3

Evauate

y > 3

This means that the value of y is greater than 3 say y = 4

So, we have (0, 4)

Hence, the ordered pairs of the inequality expression is (0, 4)

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Answer:

1.) 123  2.) 19

Step-by-step explanation:

Both of these numbers would round up since 5+ makes the number before itself add 1.

ROUNDING

=================================================================

There are two rules for rounding:

1. If the number you're rounding is followed by a digit from 0 to 4 drop it

2. If it's followed by a digit from 5 to 9 add 1

Let's see them in action!

1: 122.53 ==> 122.5 ==>123

2: 18.59 ==> 18.6 ==> 19

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==============================================================

Unit conversion is the conversion of one unit to another unit with its standard conversion.

The distance traveled in 15 minutes at a speed of 12m/s is 10800 m.

It is the conversion of one unit to another unit with its standard conversion.

Example:

1 minute = 60 seonds

1 km = 100 m

1 m = 100 cm

We have,

Speed = 12 m/s

This means,

1 second = 12 m

Now,

1 minute = 60 seconds

15 minutes = 15 x 60 seconds

15 minutes = 900 seconds

So,

1 sec = 12 m

Multiply 900 on both sides.

900 x 1 sec = 900 x 12m

900 seconds = 10800 m

Thus,

The distance traveled in 15 minutes at a speed of 12m/s is 10800 m.

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The quadrilateral we are dealing with here is a square.

To show  that a quadrilateral is a square, we need to show that all four sides are equal in length and that the angles are all right angles.

So let's calculate the distances between the given points like this

AB  = √((3-0) ² + (0 -4)²)

= √(9  + 16) =   √(25)

= 5

BC = √((7-3)² + (3-0)²)

= √(16 + 9)

= √(25) = 5

CD = √((4-7) ² + (7-3) ²)

= √(9 + 16)

= √(25)

= 5

DA = √ ((0-4) ² + ( 4- 7) ²)

= √(16 + 9)

= √(25)

= 5

This shows that all the sides are equal in lenght. Now, lets solve for the slopes.

mAB = (0-4)/(3-0)

= -4/3

m BC

= (3- 7)/(0-3)

= 4/3

mCD  = ( 7-4)/(3- 0)

= 3/3 = 1

mDA = (0-4)/(4-0)

= -4/4 = -1

Since the slopes of opposites sides are reciprocals thus, the quadrilateral ABCD is a Square.

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Full Question:

Full Question:

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

See attached image.

Answer:

usage patterns are a variable used in market segmentation.

Step-by-step explanation:

Usage patterns are a variable used in behavioral segmentation.

Behavioral segmentation is a marketing strategy that divides a market into different segments based on consumer behavior, specifically their patterns of product usage, buying habits, and decision-making processes. This segmentation approach recognizes that customers with similar behavioral characteristics are likely to exhibit similar preferences and respond in a similar manner to marketing initiatives.

Usage patterns, as a variable, help marketers understand and classify customers based on how they interact with a product or service. This can include factors such as the frequency of product usage, the amount of product used, the timing of purchases, brand loyalty, product benefits sought, and other behavioral indicators.

By analyzing usage patterns, marketers can identify distinct segments within their target market and tailor marketing strategies to meet the unique needs and preferences of each segment. This enables companies to develop more targeted marketing campaigns, optimize product offerings, improve customer satisfaction, and drive customer loyalty.

Overall, behavioral segmentation, including the consideration of usage patterns, allows companies to better understand and connect with their customers by aligning their marketing efforts with specific behaviors and motivations.

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Answer:

j=2

Step-by-step explanation:

11j - 3j = 16

Combine like terms

8j = 16

Divide each side by 8

8j/8 = 16/8

j = 2

Answer:

2

Step-by-step explanation:

11j-3j=16

subtract 11 from 3 to get 8

8j=16

divide 16 by 8 to get 2

j=2

Step-by-step explanation:

c. h= p/(mg)

HOPE it helps

24 cars lacked power steering but did have air conditioning and an automatic gearbox.

According to the question,

No. of cars with Air conditioning = 88

No. of cars with Automatic transmission = 96

No. of cars with power steering = 76

All three = 4

None of these extras = 19

Only air conditioning = 23

Only automatic transmissions = 61

Only power steering = 28

Power steering and automatic transmission both = 11

The calculation for missing values:

11 - 4 = 7

96-61-4-7 = 24

88-24-4-23=37

It is obvious that 24 cars lacked power steering but did have air conditioning and an automatic gearbox.

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The y-coordinate for the solution to the system of equations is -3.

What is a system of equations?

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations. The intersection of two lines represents the system of equations' solution.

Given system of equations are,

6x + 11y = -3

4x + y = 17

To solve these equations, we must first remove x or y terms.

To do this we must make the removing term's coefficients the same.

In this case, let's remove y.

We are multiplying the second equation by 11. Then,

6x + 11y = -3

44x + 11y = 187

Now we will subtract the second equation from the first.

- 38x  = -190

x = 5

Now to find y, substitute x in any one of the equations.

6 * 5 + 11y = -3

11y = -33

y = -3

Hence the y-coordinate for the solution to the system of equations is -3.

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Random variables that can take on any value in some interval are called continuous random variables.

A continuous random variable is defined over a continuous range of values and can take on any value within that range. This is in contrast to discrete random variables, which can only take on a finite or countably infinite set of distinct values.

The probability distribution of a continuous random variable is described by a probability density function (PDF), which specifies the likelihood of the random variable taking on different values. The area under the PDF curve within a given interval represents the probability of the random variable falling within that interval.

Examples of continuous random variables include the height of a person, the time it takes for an event to occur, or the temperature at a specific location.

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Answer:

solve

Step-by-step explanation:

plus . minus and divide

Answer:

1- Let x = original price  then

x - .20x = 48

x(1 - .20) = 48

x(.80) = 48

x = 48/.80

x = $60

2-Let "x" be the number of lessons.

240 - 15x = 0

240 = 15x  

x = 16 lessons

3-divide equation by 2:

(2W-4) + W = 32

2W - 4 + W = 32

2W + W = 32 + 4

3W = 36

W = 36/3

W = 12 cm

Find the Length using L = 2W-4:

L = 2(12) - 4

L = 20 cm

Check: 2(20) + 2(12) = 64

4-P stands for the original price. The 90 stands for 90 %. Wendy paid 100-10, or 90 %.

Step-by-step explanation:

Yes, it is possible for 2 different quadratic functions to have the same axis of symmetry but different vertex points.

Quadratic functions are polynomial functions consisting of variables and exponents and the degree of the variable is 2.

The general form of a quadratic function is f(x) = ax² + b x + c.

The axis of symmetry of a quadratic function f(x) = ax² + b x + c is the line x = -b/2a.

Vertex of the function is (-b/2a, f(-b/2a)).

Consider the quadratic function,

f(x) = x² + 2x - 24.

Axis of symmetry, x = -2 / (2 × 1) = -1

Vertex = (-1, f(-1)) = (-1, -25)

Consider a different quadratic function,

f(x) = x² + 2x - 15.

Axis of symmetry, x = -2 / (2 × 1) = -1

Vertex = (-1, f(-1)) = (-1, -16)

Here 2 different quadratic functions have the axis of symmetry at x = -1, but one of the function has vertex at (-1, -25) and the other has vertex at (-1, -16).

Hence it is possible to have same axis of symmetry but different vertex points for 2 different quadratic functions.

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- Events A, B, C, and D are exhaustive.
- Events A and B, B and D are not mutually exclusive.
- Events A and C, C and D, A and D are mutually exclusive.

To determine whether the events are exhaustive or mutually exclusive, we need to understand the definitions of these terms:
1. Exhaustive events: Events are considered exhaustive if the union of all the events covers the entire sample space S. In other words, there are no outcomes in the sample space that are not included in any of the events.
2. Mutually exclusive events: Events are considered mutually exclusive if they have no outcomes in common. In other words, the events cannot occur simultaneously.
Now let's analyze the given events:
A = {1, 2, 4}
B = {1, 2, 4, 5, 6}
C = {5, 6}
D = {2, 3, 6}
To determine if the events are exhaustive, we need to check if their union covers the entire sample space S.
The union of A, B, C, and D is {1, 2, 3, 4, 5, 6}, which covers the entire sample space S. Therefore, the events A, B, C, and D are exhaustive.

To determine if the events are mutually exclusive, we need to check if any outcomes are shared between the events.
The outcomes 1, 2, and 4 are shared between events A and B. Therefore, events A and B are not mutually exclusive.
The outcomes 2 and 6 are shared between events B and D. Therefore, events B and D are not mutually exclusive.
No outcomes are shared between events A and C, C and D, or A and D. Therefore, events A and C, C and D, and A and D are mutually exclusive.

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Answer:

First choice, 75%

Step-by-step explanation:

Add all the numbers together:

15 + 8 + 10 + 12 + 15 = 60

So the probability that you'll get a lose a turn card is 15/60 which simplified is 1/4, 1/4 in decimal form is 0.25 which is 25%. % means out of 100 so to double check: 1/4 times 100 = 100/4 = 25%

There's a 25% chance that you will draw the lose a turn card so

100% - 25% = 75%

So there's a 75% probability you will not draw the lose a turn card

Therefore, there are 15,504 different samples possible when choosing 5 chips from a batch of 20 semiconductor chips.

To determine the number of different samples possible when choosing 5 chips from a batch of 20 semiconductor chips, we can use the combination formula. The number of different samples (denoted as C(n, k)) can be calculated using the formula:

C(n, k) = n! / (k!(n - k)!)

where n represents the total number of chips and k represents the number of chips in the sample.

In this case, we have:

n = 20 (total number of chips)

k = 5 (number of chips in the sample)

Using the formula, we can calculate the number of different samples:

C(20, 5) = 20! / (5!(20 - 5)!)

Calculating this value, we find that:

C(20, 5) = 15,504

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Answer:

11 cm³

Step-by-step explanation:

the volume of a pyramid is \(\frac{1}{3}\) the volume of the congruent prism, so

volume of pyramid = \(\frac{1}{3}\) × 33 cm³ = 11 cm³

Every person in a group of 1000 people has a 1% chance of being infected by a virus. The process of being infected is independent from person to person. Using random variables, write expressions for the following probabilities and solve them with R(a) The probability that exactly 10 people are infected

Solution:

a)Let X be the number of people infected in a group of 1000 people.

Here, X follows a binomial distribution with n = 1000 and p = 0.01.

Then, P(X = 10) = dbinom {1000}{10} $ $(0.01)^{10}$ $(1-0.01)^{990}

Using R, the expression for the probability that exactly 10 people are infected is:

p1 <- dbinom(10, 1000, 0.01)Ans: p1

(b) That probability that at least 16 people are infected.

Let X be the number of people infected in a group of 1000 people.

Here, X follows a binomial distribution with n = 1000 and p = 0.01.

Then, P(X ≥ 16) = 1 - P(X ≤ 15) = 1 - $\sum\limits_{i=0}^{15}$ $ \dbinom {1000}{i} $ $(0.01)^i$ $(1-0.01)^{1000-i}$Using R, the expression for the probability that at least 16 people are infected is:

p2 <- 1-pbinom(15, 1000, 0.01)Ans: p2

c) The probability that between 12 and 14 people are infected

.Let X be the number of people infected in a group of 1000 people.

Here, X follows a binomial distribution with n = 1000 and p = 0.01

. Then, P(12 ≤ X ≤ 14) = $\sum\limits_{i=12}^{14}$ $ \dbinom {1000}{i} $ $(0.01)^i$ $(1-0.01)^{1000-i}$Using R, the expression for the probability that between 12 and 14 people are infected is:

p3 <- sum(dbinom(12:14, 1000, 0.01))Ans: p3

d) The probability that someone is infected

.Let X be the number of people infected in a group of 1000 people.

Here, X follows a binomial distribution with n = 1000 and p = 0.01.

Then, P(X ≥ 1) = 1 - P(X = 0) = 1 - $ \dbinom {1000}{0} $ $(0.01)^0$ $(1-0.01)^{1000-0}$Using R, the expression for the probability that someone is infected is:

p4 <- 1-dbinom(0, 1000, 0.01)Ans: p4

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Answer:

B

Step-by-step explanation:

The figure shown is of an isosceles triangle.The triangle is not congruent with any of the faces of the pyramid thus the triangle does not have the same dimension as one of the sides of the pyramid

Answer: B

Step-by-step explanation:

The effective annual rate of return for this project is 5.68%.

Formula for effective annual rate:R = (1 + i/m)^m - 1

Where,R = Effective annual rate

i = nominal annual interest rate

m = number of compounding periods in a year

Let's calculate the effective annual rate of return using the above formula. First, calculate the interest rate per quarter:

Project's quarterly cash flows: $80,000, $60,000, $70,000, $90,000

Nominal annual interest rate:

i = Ro = ?

Let's assume that the net present value of the project is $0 to solve for the Ro using the following formula:

Ro = (CF1 + CF2 / (1+i)^2 + CF3 / (1+i)^3 + ... + CFn / (1+i)^n) / Cafe

Where,CF1 = $80,000

CF2 = $60,000

CF3 = $70,000

CF4 = $90,000

CF0 = initial cash investment of Lauren

After calculating the sum of the discounted cash flows and equating to zero, i = 5.48%

Let's now substitute the values in the formula for the effective annual rate:

R = (1 + i/m)^m - 1m = 4 (since interest is compounded quarterly)

R = (1 + 0.0548/4)^4 - 1R = 0.0568 or 5.68%

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f(n) = ϴ(g(n)) is not true in cases B(sqrt(n)log(n), C(\(3^n 5^n\)), and D(sin(n)+3 cos(n)+1).

A) \(log(n^200) log(n^2)\)

Here, f(n) = \(log(n^200)\) and g(n) = \(log(n^2)\). Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:

f(n) / g(n) = \([log(n^200) / log(n^2)]\) = 100

This means that as n approaches infinity, the ratio f(n) / g(n) is constant, and so we can say that f(n) = ϴ(g(n)). Therefore, f(n) = ϴ(g(n)) is true in this case.

B) sqrt(n) log(n) Here, f(n) = sqrt(n) and g(n) = log(n). Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:

f(n) / g(n) = [sqrt(n) / log(n)]

As log(n) grows much slower than sqrt(n) as n approaches infinity, this limit approaches infinity. Therefore, we cannot say that f(n) = ϴ(g(n)) is true in this case.

C) 3^n 5^n

Here, f(n) = \(3^n\) and g(n) = \(5^n\) . Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:

f(n) / g(n) = \([3^n / 5^n]\)

As \(3^n\) grows much slower than \(5^n\) as n approaches infinity, this limit approaches zero. Therefore, we cannot say that f(n) = ϴ(g(n)) is true in this case.

D) sin(n) + 3 cos(n) + 1

Here, f(n) = sin(n) + 3 and g(n) = cos(n) + 1. Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:

f(n) / g(n) = [sin(n) + 3] / [cos(n) + 1]

As this limit oscillates between positive and negative infinity as n approaches infinity, we cannot say that f(n) = ϴ(g(n)) is true in this case.

Therefore, f(n) = ϴ(g(n)) is not true in cases B, C, and D.

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Answer:

a

Step-by-step explanation:

it give 2 tan so that the answer 2x-3=1 so it can't be double angle