The equation of a linear function in point-slope form is y – y1 = m(x – x1). Harold correctly wrote the equation y = 3(x – 7) using a point and the slope. Which point did Harold use

If we fix x = 0 and z = 0 only y coordinate can change. So triple (0, y, 0) can only represent a point in y axis.

What do you mean by a plane?

In geometry, a plane is a surface made up of all the lines that are parallel to one another and connect any two locations on it. It is, in other words, a level or flat surface.

                          A plane is defined uniquely through any of the following in a Euclidean space of any number of dimensions: with the aid of three non-collinear points.

For the triple  (x,y,z ) to represent the point on the y - axis .

    x must be 0    y must be a real number

  and z must b 0

For the triple  (x,y,z ) to represent the point on the y - axis .

    x must be 0    y must be 0

  and z must be  a real number

For the triple  (x,y,z ) to represent the point on the y - axis .

    x must be real number     y must be 0

  and z must be  a real number

For the triple  (x,y,z ) to represent the point on the y - axis .

    x must be 0     y must be real number

  and z must be  a real number

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Answer:

heyyyy timmy

Step-by-step explanation:

wsp G?

The area between the graphs is A = e - 1 - sin(1)

To find the exact value of the area between the graphs of y = cos(x) and  \(y = e^x\)for 0 ≤ x ≤ 1, we need to calculate the definite integral of the difference between the two functions over the given interval.

Let's denote the area as A. Then we have:

A = ∫[0, 1] (\(e^x\) - cos(x)) dx

To find the exact value of this integral, we can integrate each term separately:

A = ∫[0, 1] \(e^x\) dx - ∫[0, 1] cos(x) dx

Integrating \(e^x\) gives us:

A = \(e^x\) |[0, 1] - ∫[0, 1] cos(x) dx

The antiderivative of cos(x) is sin(x), so we have:

A = \(e^x\) |[0, 1] - sin(x) |[0, 1]

Evaluating the expressions at the upper and lower limits, we get:

A = \(e^1 - e^0\) - sin(1) + sin(0)

Simplifying further:

A = e - 1 - sin(1)

This is the exact value of the area between the graphs of y = cos(x) and y = \(e^x\) for 0 ≤ x ≤ 1.

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Answer:

9

Step-by-step explanation

First you multiply 3 five times, then you multiply 3 seven times and you divide the results of each multiplication

Answer:

0.111111111111111

Step-by-step explanation:

=> 3⁵÷3⁷

Note 3⁵ means multiplying 3 five times

And 3⁷ means multiplying 3 7 times

=> 3×3×3×3×3÷3×3×3×3×3×3×3

multiply the values and then divide

=> 243÷2,187

divide 243 by 2187

=> 0.111111111111111

The cost of tilling a rectangular plot of land 500m long and 200m wide at the rate of rs 8 per sq m is Rs. 8,00,000.

Area of rectangle = length × breadth

Area of rectangular plot = 500× 200 = 1,00,000 sq m

Cost of tilling 1 sq m of land = Rs. 8

Cost of tilling 1,00,000 sq m of land = 8 × 1,00,000 = Rs. 8,00,000

Thus, The cost of tilling a rectangular plot of land 500m long and 200m wide at the rate of rs 8 per sq m is Rs. 8,00,000.

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Answer:

hope this will help you.

Sure, I can help you with that!

a) To find fy|x(x, y), we use the definition of conditional probability:

fy|x(x, y) = f(x, y) / fx(x)

Here, f(x, y) is the joint density of X and Y, and fx(x) is the marginal density of X.

Since Y is an exponential random variable with parameter X, we know that its density function is given by:

f(y|x) = xe^(-xy), y ≥ 0

Substituting this into the joint density f(x, y) = f(y|x) * fx(x), we get:

f(x, y) = xe^(-xy) * f(x)

So,

fy|x(x, y) = xe^(-xy) * f(x) / fx(x)

b) To find fx,y(x, y), we simply use the definition of joint density:

fx,y(x, y) = f(y|x) * fx(x)

Substituting in the expressions we have for f(y|x) and fx(x), we get:

fx,y(x, y) = xe^(-xy) * f(x)

c) Finally, to find fy(y), we use the law of total probability:

fy(y) = ∫fy|x(x, y) * fx(x) dx

Substituting in the expression we have for fy|x(x, y), we get:

fy(y) = ∫xe^(-xy) * f(x) / fx(x) dx

This integral is difficult to solve in general, but it can be done for specific choices of the distribution f(a, b).

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Answer:

Olga

Step-by-step explanation:

To calculate average speed we can compare their hourly rate

Trisha ran 10km in 2.5 hours which is equal to 4km in an hour

Jason ran 7.5km in 2 hours which is equal to 3.75km an hour

Olga ran 9.5km in 2.25 hours which is equal to 4.2 an hour approximately

Answer:   A. point I

Step-by-step explanation:

After you reflect (1.5,-4.5)  across the x-axis the y coordinates changes so you have the new coordinates  (1.5,4.5)   then after you reflect the new coordinates over the y axis the  x coordinate changes so you will have the new coordinates (-1,5,4.5) which is located in the second quadrant.  Although point M is in the second quadrant but as you could see it doesn't have the same coordinates so that can't be an answer choice.

By alternate interior angles theorem ∠3≅∠5, d║e. Therefore, option D is the correct answer.

The alternate exterior angle theorem states that if two lines are parallel and are intersected by a transversal, then the alternate exterior angles are considered as congruent angles or angles of equal measure.

From the given figure, 46° + ∠3 =180°

⇒ ∠3 =134°

∠3 = ∠5 =134° (alternate interior angles)

By alternate interior angles theorem ∠3≅∠5, d║e. Therefore, option D is the correct answer.

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Given that ∠3≅∠5 .

Which theorem proves that d∥e?

alternate exterior angles theorem

converse of the alternate interior angles theorem

converse of the alternate exterior angles theorem

alternate interior angles theorem

Answer:

C.<

Step-by-step explanation:

got it wrong on the exam review and it told me the right answer after.

Answer:

It is C.  <

Step-by-step explanation:

edge 2021

Answer: 40

Step-by-step explanation: if 8 stops complete 20% of the map 100% is 5 times that so 8x5 is 40 so 40 stops in total

The total number of stops in her trip is 40.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Amy has just completed stop 8 and the map shows she is 20% complete.

let the total number of stops be x

So, 20% of x = 8

20/100x= 8

1/5x = 8

x= 40

Hence, the total number of stops in her trip is 40.

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Answer:

Step-by-step explanation:75 + 75= 150 150+10= 160

Answer:

have a good day

Step-by-step explanation:

you deserve it ;)

After converting \(4.5 * 10^4\) to decimal format, one gets 45,000 as an answer. Thus, option (A) is the correct answer.

To convert numbers multiplied by 10 with having an exponent number to decimal format, one first needs to check the sign on the exponent.

If the sign is positive, we must shift the decimal to the right with each power of 10. The exponent indicates the number of zeros added after the number in case no decimal is used.

And if the sign is negative, we have to shift the decimal to the left with each power of 10. One has to divide the number by the number one gets after multiplying 10 by itself as many times as the exponent.

Therefore, to convert \(4.5 * 10^4\) to decimal format, we shift the decimal by 4 places and we get 45,000 as the answer.

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Answer:

d=(m+p)/4

Step-by-step explanation:

The given equation solved for d as d=(m+p)/4.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is 4d-p=m.

The given equation can be solved as

4d=m+p

Therefore, the given equation solved for d as d=(m+p)/4.

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Answer:

-9, 3, -1 , 1/3, -1/9

Step-by-step explanation:

PartA: The pair of equations to show the relationship between the number of minutes Jackie runs and dances are x+y=75 and y=25+x

PartB: The number of minutes Jackie spends on running is 25minutes.

PartC: The greatest amount of time she could spend dancing everyday is 50minutes.

Simultaneous equation is a set set of two or more equations, each containing two or more variables whose values can simultaneously satisfy both or all the equations in the set, the number of variables being equal to or less than the number of equations in the set.

If the time Jackie spends running is x and the time Jackie spends on dancing is y

Then x+y= 75 equation 1

she dances 25minutes more than she runs.

this means 25+x =y equation 2

represent 25+x for y in equation 1

x+25+x= 75

2x= 75-25

2x= 50

divide both sides by 2

x= 25

Therefore the pair of equations are x+y =75, and y= 25+x

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Answer:

49

Step-by-step explanation:

He recieved 8 ticket (even number) per day for 7 days. 8×7=56

56 tickets ÷ 7 days

would equal to him receiving 8 tickets every one of the 7 days.

If the area of the rectangle (as shown below in the reference.jpeg attached hereby for reference) is 32 sq. units, then the area of the triangle shown besides the rectangle will be 16 sq. units.

As per the question statement, area of a rectangle (as shown below in the reference.jpeg attached hereby for reference) having a length of 8 units and width of 4 units is 32.

We are required to calculate the area of the triangle (shown beside the above-mentioned rectangle in the reference.jpeg attached hereby).

From the diagram, it is clear that that base of the triangle is 4 units and since it is a right-angled triangle, it's altitude or height is 8 units.

Now the formula to calculate the area of a triangle (A) having base "b" and height "h", goes as \(A=(\frac{1}{2}*b*h)\)

Inserting the values of our concerned triangle in the above mentioned formula, we get, Area = \((\frac{1}{2}*4*8)=(\frac{4*8}{2})=\frac{32}{2}=16\).

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Answer:

x= 1 7/12

Step-by-step explanation:

x+1/2+x+2/3-x+3/4=2

1. We know that x+x-x=x

2. 1/2+2/3-3/4=6/12+8/12-9/12=5/12

3. x+5/12=2

4. x=2-5/12

x=1 7/12

Answer:

x = 1/12

Step-by-step explanation:

x+x-x = x

1/2 + 2/3 + 3/4 = 23/12

both of the above are:

23/12 +x = 2

x= 2 - 23/12

x= 1/12

Answer:

83.3%

Step-by-step explanation:

The probability of obtaining tails and the number 5 is 1/12

the probability of obtaining an even number is 1/2

P(heads and prime number)  1/4

Since the events are independent, the probability of obtaining tails and the number 5 is:

P(tails and 5) = P(tails) * P(5) = (1/2) * (1/6) = 1/12

The coin toss outcome is irrelevant, so the probability of obtaining an even number is:

P(even number) = 1/2

The probability of obtaining heads and a prime number is:

P(heads and prime number) = P(heads) * P(prime number) = (1/2) * (1/2) = 1/4

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Answer:A boo

Step-by-step explanation: trust me :) ✨

Therefore, the solution to the initial value problem is:\(x(t) = 3e^t\)

To solve the given initial value problem, we need to find the function x(t) that satisfies the given differential equation and initial condition.

The given differential equation is-

x'(t) = x(t)

To solve this first-order linear ordinary differential equation, we can separate the variables and integrate:

1/x(t) dx = dt

Integrating both sides:

∫(1/x(t)) dx = ∫dt

ln|x(t)| = t + C

where C is the constant of integration.

Taking the exponential of both sides:

|x(t)| = e^(t+C) = Ce^t

Since we have the initial condition x(0) = 3, we substitute t = 0 and solve for C:

|3| = Ce^0

3 = C

So, C = 3.

Therefore, the solution to the initial value problem is:

x(t) = 3e^t

Note that since the absolute value is involved, the solution can take both positive and negative values. However, with the initial condition x(0) = 3, we choose the positive value for the constant C.

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The area of the composite figure is equal to 99 mm² square milimetresmetres.

The composite figure can be observed to be made up of two horizontal rectangle, and a vertical rectangle, so we shall calculate for the areas of the three figures and then add the result to get the total area of the composite figure as follows:

area of the bigger horizontal rectangle = 11 mm × 3 mm

area of the bigger horizontal rectangle = 33 mm²

area of the smaller horizontal rectangle = 5 mm × 2 mm

area of the smaller horizontal rectangle = 10 mm

area of the vertical rectangle = 14 mm × 4 mm

area of the vertical rectangle = 56 mm²

total area of the composite figure = 33 mm² + 10 mm² + 56 mm²

total area of the composite figure = 99 mm²

Therefore, the area of the composite figure is equal to 99 mm² square milimetres.

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Answer:

The probability is 1/3

Step-by-step explanation:

At any point in time, the probability that a coin lands on head = 1/2 given that the coin is fair

Rolling a number less than 5;

The numbers are 1,2,3 and 4

The probability of rolling a number less than 5 is 4/6

So we proceed to

multiply both probabilities to get the answer to the question,

we have this as;

4/6 * 1/2 = 2/6 = 1/3

Answer: 16 terms

Step-by-step explanation:

Answer:

The answer is 16 terms.

The secend part of the question is B. 2∧15x∧15

Answer:

Python :

for i in range (3, 10, 2):

print(i)