Find an equation of the tangent to the curve at the given point by both eliminating the parameter and without eliminating the parameter. x = 3 + In(t), y = 12 + 2, | (3, 3)

Answer:

c

Step-by-step explanation:

Answer:

C) 8

Step-by-step explanation:

5x=2x+24

5x-2x=24

3x=24

x=8

Answer:

x=25 5/7

Step-by-step explanation:

A triangle has to equal 180 degrees when all its angles are combined.

4x+2x+10^0+x-5^0=180

Any number to the power of 0 is 1 so: 4x+2x+1+x-1=180

Merge like terms: 7x=180

Solve: x=25 5/7

Answer:

x2 + x = 42

Step-by-step explanation:

x = nhmber

x² = its square

then:

The sum of a number and its square is 42 is:

x² + x = 42

Answer:

Here is an ad campaign to promote Ray and Kelsey's roller coaster

Step-by-step explanation:

(Opening shot of the roller coaster with screaming riders)

Voiceover: "Get ready for the ride of your life!"

(Cut to Ray and Kelsey, standing in front of the roller coaster)

Ray: "Hey, I'm Ray, and this is Kelsey. We're the creators of the most thrilling roller coaster in town."

Kelsey: "Our coaster is packed with twists, turns, and loops that will leave you screaming for more!"

Ray: "Come on down to the amusement park and experience the thrill for yourself."

Kelsey: "Our coaster is perfect for adrenaline junkies who love a good rush!"

(Cut back to the roller coaster with more screaming riders)

Voiceover: "Don't miss out on the ride of a lifetime. Come ride Ray and Kelsey's roller coaster today!"

(Optional closing shot of the roller coaster with a tagline: "Are you brave enough?")

If preparing an interview or report, here is a script.

Interviewer: "So, Ray and Kelsey, tell us about your new roller coaster."

Ray: "Well, it's the most thrilling coaster in town. We wanted to create a ride that would really get people's hearts racing."

Kelsey: "Our coaster has twists, turns, and loops that will leave riders screaming for more. It's perfect for anyone who loves a good adrenaline rush."

Interviewer: "What inspired you to create this coaster?"

Ray: "We both love roller coasters, and we wanted to create something that would be just as exciting as our favorite rides."

Kelsey: "We spent months designing and testing the coaster to make sure it was the best it could be."

Interviewer: "What can riders expect when they ride your coaster?"

Ray: "They can expect a thrilling ride that will leave them breathless."

Kelsey: "Our coaster is perfect for anyone who loves a good rush. We can't wait for everyone to experience it for themselves."

Answer: -13

Step-by-step explanation:

Answer:

y=-1/2x+4

Step-by-step explanation:

Answer:

1}6 times

Step-by-step explanation:

2}Yes.New York and Mast has the same number of president which is four

3}Yes,this can be done using piechart.

4}I am still working on this question

Answer:

10.5633

Step-by-step explanation:

for an approximate result, divide the length value by 1.609

17 km. converted to miles is 10.5633. Simplified, that's 10.6 miles.

Ramon just substituted the 8.5 for the wrong variable. She must replace 8.5 for y-variable, because that's the right one for shoe size.

Based on the given conditions,

Ramona used the regression equation,

y = 444x - 21.29

The 8.5 is for shoes only, not for height.

Therefore, using 8.5 for the x-variable is incorrect because x denotes height and y denotes shoe size.

Ramon therefore simply changed the incorrect value to 8.5.

Because 8.5 is the proper value for the y-variable in terms of shoe size, she must replace it.

Therefore,

Ramon just substituted the 8.5 for the wrong variable. She must replace 8.5 for y-variable, because that's the right one for shoe size.

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The conditions ML ║ NO and LO ≅ MN are sufficient to show that the LMNO is a parallelogram.

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a parallelogram, opposite sides are parallel and equal. And its diagonals are not equal but intersect at the mid-point.

The side ML is parallel to the NO that is given as

ML ║ NO

And the side LO is equal to the side MN

LO ≅ MN

These conditions are sufficient to show that the LMNO is a parallelogram.

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Answer:

ML ∥ NO, LO ≅ MN (1 and 3)

Step-by-step explanation:

edg

Answer:

(10, 5)

Step-by-step explanation:

Starting coordinate : (9, 5)

x = 9 ; y = 5

Vertical distance (up and down) = y

Horizontal distance (left and right) = x

Movement to the right = positive

Movement to the left = negative

Hence, 1 unit moved to the right ; x + 1

Therefore ;

(9 + 1, 5)

= (10, 5)

The percentage of the sheets with no air bubbles is given as follows:

13.53%.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following mass probability function:

\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)

The parameters are listed and explained as follows:

The mean for this problem is given as follows:

\(\mu = 2\)

The proportion of these sheets with no air bubbles is P(X = 0), hence it is given as follows:

P(X = 0) = e^-2 = 0.1353 = 13.53%.

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Answer:

True

Step-by-step explanation:

When displaying any sort of data, it is important to make the table or chart as easy to understand and read as possible without compromising the data. In this case, it is simpler to understand the pie chart if we use as few slices as possible that still makes sense for displaying the data set.

You have the following algebraic expression:

In order to solve the previous expression, you proceed s follow:

m - 8 = 3 First, you sum 8 both sides of the equation

m - 8 + 8 = 3 + 8 simplify (-8 + 8 cancel out, 3 + 8 is equal to 11)

m = 11

Hence, the solution to the equation is m = 11

Alicia's estimate of the surface area of the rectangular prism is not reasonable based on her miscalculation of the volume.

To determine whether Alicia's estimate of the surface area of the rectangular prism is reasonable, we first need to check if her calculation of the volume of the rectangular prism is correct.

The formula for calculating the volume of a rectangular prism is:

Volume = length x width x height

Substituting the given values in the formula, we get:

Volume = 11 meters x 5.6 meters x 7.2 meters

Volume = 449.28 cubic meters

As we can see, Alicia's estimate of 334 cubic meters is significantly lower than the actual volume of the rectangular prism, which is 449.28 cubic meters. Therefore, her estimate of the surface area is likely to be incorrect as well.

It is also important to note that the problem statement asks about the estimate of the surface area, not the volume. However, since the formula for calculating the surface area of a rectangular prism also involves the dimensions of length, width, and height, it is highly likely that Alicia's estimate of the surface area would also be incorrect given her miscalculation of the volume.

In conclusion, Alicia's estimate of the surface area of the rectangular prism is not reasonable based on her miscalculation of the volume.

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There will be 9 songs playing in the slideshow.

To determine how many songs will play in the slideshow, we need to compare the total length of the songs to the total length of the slideshow.

The number of songs playing in the slideshow, we need to count the individual songs listed in the context of the slideshow.

The total length of the songs can be calculated by summing up the lengths of each individual song:

3 + 1 + 2 + 3 + 2 + 1 = 12 minutes.

The total length of the slideshow is given as 31 1/2 minutes.

To find out how many songs will play in the slideshow, we need to divide the total length of the slideshow by the length of each song:

(31 1/2) ÷ (3 1/2) = 9 songs

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Answer:

the answer is  y=2x+0.163811

Step-by-step explanation:

Answer:

if y=x/2+1

then x =y+ 1 simply expression two the 2 power and you get the answer

Step-by-step explanation:

A total of 21 handshakes, will occur when seven persons in a group shake hands with each of the other six persons.

The first person shakes hands with the other 6 people. The second person shakes hands with 5 people because they already shook hands with the first person.

The third person shakes hands with 4 people because they already shook hands with the first and second person.

The fourth person shakes hands with 3 people because they already shook hands with the first, second, and third. The fifth person shakes hands with 2 people because they already shook hands with the first, second, third, and fourth person.

The sixth person shakes hands with the seventh person because the rest have already shaken hands with them. The seventh person doesn't have anyone else to shake hands with.

Add all the people who shake6+5+4+3+2+1

So the total would be 21

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47576777...................

Answer:2x²+56

Step-by-step explanation:

2x+1-9·X²-7

2x²+56

Hope this Helps!!!!

Answer:

Step-by-step explanation:

Answer:

The answer is B. y=-3x+4

Step-by-step explanation:

Have a great day :)

Answer:

\((6x + 3)\degree = 81\degree \\ \{{ \sf{corresponding \: angles \}}} \\ 6x = 78 \\ { \boxed{ \boxed{x = 13}}}\)

we would need a sample size of at least 502 for the approximate probability of the random interval (Y1/n - Y2/n) ‡ 0.05 covering pi - p2 to be at least 0.80.

To compute n, we can use the formula:
n = ((zα/2)^2 * 2p*(1-p*)) / (ε^2)
Where zα/2 is the z-score associated with a confidence level of 1-α, p* is the probability of success for a binomial distribution, and ε is the margin of error.
Since we are given that the approximate probability of the random interval (Y1/n - Y2/n) ‡ 0.05 covering pi - p2 is at least 0.80, we can set α = 0.20 to find the corresponding z-score of 1.28.
Using p* = 1/2 as an upper bound for both P1 and P2, we can calculate the margin of error as:
ε = zα/2 * sqrt((p*(1-p*)) / n)
Plugging in the values, we get:
0.05 = 1.28 * sqrt((0.25) / n)
Solving for n, we get:
n = 501.76
Therefore, we would need a sample size of at least 502 for the approximate probability of the random interval (Y1/n - Y2/n) ‡ 0.05 covering pi - p2 to be at least 0.80.

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To determine the number of gallons of paint needed to cover office 143, we need to know the square footage of the office.

Once we have that information, we can divide the square footage by the coverage rate per gallon to calculate the required amount of paint.

Let's assume the square footage of office 143 is 800 square feet.

Number of gallons needed = Square footage / Coverage rate per gallon

Number of gallons needed = 800 square feet / 50 square feet per gallon

Number of gallons needed = 16 gallons

Therefore, you would need approximately 16 gallons of paint to cover office 143, assuming each gallon covers 50 square feet.

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Answer:

On this picture, it is b, but for edge, it is c

Step-by-step explanation:

Answer:

c but b in the pic

Step-by-step explanation: