The position of the particle as a function of time is given by x(t) = e-(t - 3)2, where x is in meters and t is in seconds. What is the velocity of the particle, in meters per second, at t = 2.5 s?

Answer:is that he likes you

Step-by-step explanation:

Answer:

  (a)  twenty-eight ninths, square root of nineteen, cube root of eighty-eight

Step-by-step explanation:

When ordering a list of numbers by hand, it is convenient to convert them to the same form. Decimal equivalents are easily found using a calculator.

The attachment shows the ordering, least to greatest, to be ...

  \(\dfrac{28}{9}.\ \sqrt{19},\ \sqrt[3]{88}\)

__

Additional comment

We know that √19 > √16 = 4, and ∛88 > ∛64 = 4, so the fraction 28/9 will be the smallest. That leaves us to compare √19 and ∛88, both of which are near the same value between 4 and 5.

One way to do the comparison is to convert these to values that need to have the same root:

  √19 = 19^(1/2) = 19^(3/6) = sixthroot(19³)

  ∛88 = 88^(1/3) = 88^(2/6) = sixthroot(88²)

The roots will have the same ordering as 19³ and 88².

Of course, these values can be found easily using a calculator, as can the original roots. By hand, we might compute them as ...

  19³ = (20 -1)³ = 20³ -3(20²) +3(20) -1 = 8000 -1200 +60 -1 = 6859

  88² = (90 -2)² = 90² -2(2)(90) +2² = 8100 -360 +4 = 7744

Then the ordering is ...

  28/9 < 19³ < 88²   ⇒   28/9 < √19 < ∛88

Answer:

the ordering is

28/9 < 19³ < 88²   ⇒   28/9 < √19 < ∛88

Step-by-step explanation:

Answer:

The suitcase originally weighed 44kg.

Step-by-step explanation:

1- 0.25= 0.75 (multiplier)

33÷0.75=44

The suitcase originally weighed 44kg

The probability of rolling a sum from 2 to 12 on 2 dices is 100%

Given the data,

The two dice should be rolled.

Now, there are 36 possibilities that might occur while rolling two normal six-sided dice. The reason for this is that when rolling two dice, the total number of outcomes is the product of the numbers of outcomes for each die, and each die has six potential outcomes (numbers 1 through 6).

The resultant 36 results are as follows:

1-1, 1-2, 1-3, 1-4, 1-5, 1-6

2-1, 2-2, 2-3, 2-4, 2-5, 2-6

3-1, 3-2, 3-3, 3-4, 3-5, 3-6

4-1, 4-2, 4-3, 4-4, 4-5, 4-6

5-1, 5-2, 5-3, 5-4, 5-5, 5-6

6-1, 6-2, 6-3, 6-4, 6-5, 6-6

When using two dice, there are a total of 36 possibilities that might occur.

As a result, the results' total ranges from 2 to 12.

Hence , the probability is 100 %

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Answer: 0

Step-by-step explanation: I am going by the words , there WERE 3 ponies. So Sarah couldn’t take any rides.

Answer:

coefficient..........

Answer:

x=40 for both

Using the pythag theorem: a^2+b^2=c^2

30^2+x^2=50^2

solve for x

x=40

Answer:

The triangles are similar.

Explanation:

Similar triangles have 3 pairs of congruent angles. In this diagram, we can see that the triangles WXP and WYZ share angle W, which is congruent to itself; therefore, they have at least 1 pair of congruent angles. We are given that angle X is congruent to angle Y, so that is a second pair of congruent angles. Finally, we know that angle P is congruent to angle Z because if two pairs of corresponding angles are congruent, then the third pair must also be congruent because the measures of the interior angles of both triangles have to add to 180°.

The explicit rule will be an = 1/3 + (n - 1)

Given the following information

a2 = a1 + 1

a2 = 4/3

For the third term

a3 = a2 + 1

a3 = 4/3 + 1

a3 = 7/3

The resulting seqence is 1/3, 4/3, 7/3

The sequence is an arithmetic sequence

a = 1/3

d = 1

The explicit rule will be an = 1/3 + (n - 1)

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Answer:

C

Step-by-step explanation:

20+22+24=66

22+24+26=72

24+26+28=78

26+28+30=84

Answer:

1.5 inches.

Step-by-step explanation:

A picture measuring 4 inches by 6 inches is placed inside a frame which has equal width around the entire picture.

The area of the frame and the picture is 63 square inches.

Answer:

c

Step-by-step explanation:

Let's go one by one.

Reminder before we start anything: i is an imaginary number that equals \(\sqrt{-1}\) .

Numerator first:

(5 + i)(6 - 5i)

Your first instinct should be to multiply it out to try to get rid of the imaginary numbers, so FOIL:

(5)(6) + (5)(-5i) + (i)(6) + (i)(-5i)

30 - 25i + 6i - 5i²

30 - 19i + 5

35 - 19i

Alright, now the denominator; we just have to distribute:

2i(-3 + 7i)

-6i + 14i²

-14 - 6i

Now we put the numerator and denominator together to get \(\frac{35-19i}{-14-6i}\).

Unfortunately this doesn't look like any of our answer choices yet, so we have to multiply the top and bottom of the fraction by the conjugate of the denominator to get a real number on the bottom.

What's the conjugate? Well the bottom is -14 - 6i so the conjugate is -14 + 6i.

\(\frac{35-19i}{-14-6i}\) × \(\frac{-14+6i}{-14+6i}\) = c

Answer:

no hay imagen lo siento

Step-by-step explanation:

What about the sqrt{x^7}?

Do you need to simplify?

Let me see.

sqrt{x^6} • sqrt{x}

Answer: (x^3)sqrt{x}

Note: sqrt{x} cannot be further simplified.

A sorting algorithm is defined as an algorithm that sorts the elements of a list. The most commonly used sequences are numerical sequence and lexicographical sequence, ascending or descending.

A sorting algorithm is used to reorder an array or list of elements according to an element comparison operator. Comparison operators are used to define a new order of elements in that data structure. Consider example, The above list of characters is sorted in ascending order by their value. That is, characters with lower values are placed before characters with higher values. It is important in real life because it supports the development of the scientific concept that things can be owned and organized into distinct groups (e.g. creatures, cars, weather types, etc.). We will now discuss some real-world examples of using sorting algorithms.

1) Your phone's contact list is sorted. This means that your data is organized in this way so you can easily access the contacts you want from your phone. That is, "I ordered."

2) Paper sorting : Imagine a teacher sorting students' work alphabetically by student name. This type of operation is similar to the functionality of sorting algorithms such as bucket sort. Sorting is more efficient process.

3) Traffic lights : Traffic lights are a good example of how algorithms are used in the real world around us. Next time you get stuck in a car at a red light, think about the algorithm that traffic lights run." Most traffic lights don't automatically switch between green, yellow, and red. This algorithm is a well-established turn-by-turn algorithm that directs traffic correctly. It's in order (it may not seem that way when you're sitting at a red light).

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Perpendicular we need(Let it be P

So

\(\\ \rm\Rrightarrow tan\theta=\dfrac{Perpendicular}{Base}\)

\(\\ \rm\Rrightarrow tan25=\dfrac{P}{50}\)

\(\\ \rm\Rrightarrow P=50tan25\)

\(\\ \rm\Rrightarrow P=23.31ft\)

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

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The value of x in this figure is equal to: D. 5.

In Mathematics and Geometry, the sum of the interior angles of both a regular and irregular polygon is given by this formula:

Sum of interior angles = 180 × (n - 2)

Note: The given geometric figure (regular polygon) represents a pentagon and it has 5 sides.

Sum of interior angles = 180 × (5 - 2)

Sum of interior angles = 180 × 3

Sum of interior angles = 540°.

112 + 7x + 5 + 6x + 2 + 10x - 8 + 4x + 24 = 540°.

27x = 135

x = 135/27

x = 5.

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Answer:

Step-by-step explanation:

15.5cm(40mi/2.5cm)=620mi/2.5

248mi

The equation of the linear regression  is \(\^ y = -7.76\^x + 246.34\)

To determine the line of best fit, we make use of a graphing tool

See attachment for the graph of the line of best fit

From the graphing tool, we have the following calculation summary

The regression Equation is then represented as:

\(\^y = b\^x + a\)

Where:

\(b = \frac{SP}{SSX}\) and \(a = \bar y - b \times \bar x\)

\(b = -\frac{3056}{394}\)

\(b = -7.76\)

Also, we have:

\(a = \bar y - b \times \bar x\)

\(a= 199.8 - (-7.76 \times 6)\)

\(a = 246.34\)

So, the linear regression equation is:

\(\^ y = -7.76\^x + 246.34\)

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Answer:

Step-by-step explanation:

The equation of the linear regression  is

Graphing tool

To determine the line of best fit, we make use of a graphing tool

See attachment for the graph of the line of best fit

The equation

From the graphing tool, we have the following calculation summary

Sum of X = 60

Sum of Y = 1998

Mean X = 6

Mean Y = 199.8

Sum of squares (SSX) = 394

Sum of products (SP) = -3056

The regression Equation is then represented as:

Where:

and

Also, we have:

So, the linear regression equation is:

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The equation of the linear regression is \(\^ y = - 1

In order to find the height of 2 different 3-D shapes, we must identify which dimension represents the height for each individual shape and then add them together.

The first thing is that we must identify which dimension represents the height for each individual shape, for instance, if one shape is a rectangular prism, its height would be the length of one of its sides.

After we identified the height for each shape, you can add them together to get the total height of the composite figure, but, we must understand that this method assumes that the two shapes are stacked vertically on top of each other with their bases aligned.

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Answer:

\(\bar x = 83.1875\)

Step-by-step explanation:

Required

Determine the arithmetic mean

This is calculated as:

\(\bar x = \frac{\sum x}{n}\)

So, we have:

\(\bar x = \frac{82 +95 +85 +80 +78 +82 +86 +96 +73 +68 +91+ 80+ 90+ 86 +72 +87}{16}\)

\(\bar x = \frac{1331}{16}\)

\(\bar x = 83.1875\)

Answer:

SAS

Step-by-step explanation:

2 sides if 20in. , the middle one is the same for both, and both have 22° angles

Answer:

No

Step-by-step explanation:

2.20 and 2.2 are the same

but 2.02 is not the same as the others

Nate is a supply-sider economist. As such, Nate predicts that the deregulation of industries would result in increased economic growth, efficiency, and productivity.

Supply-side economics is an economic theory that focuses on policies aimed at stimulating economic growth and productivity by focusing on the supply side of the economy.

It emphasizes the importance of factors such as tax cuts, deregulation, and incentives for businesses and individuals to promote investment, production, and innovation.

Supply-side economists believe that by reducing barriers and costs for businesses, such as lowering taxes and reducing regulations, there will be increased incentives for economic activity, leading to higher output, job creation, and overall economic prosperity.

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Answer is 10°

hope it will help u

Answer: bottom right

The perimeter of the composite figure that is given above would be = 96.6m.

To calculate the perimeter of the given shape, it has to be divided into two.

First shape is a rectangle. Therefore the perimeter of a rectangle is calculated with the formula = 2(l+w)

Where ;

length = 16m

width = 11m

perimeter = 2(16+11)

= 2×27

= 54m

The second shape:

Perimeter of triangle = l+w+h

where;

length = 18-11 = 7m

width = 16m

height = 19.5m

perimeter = 7+16+19.5 = 42.5m

Therefore, the perimeter of the shape = 54+42.5 = 96.6m

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